Vampire-SAT---5.0.1.SAT-FMo.s

%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP399_10 : TPTP v9.3.1. Released v8.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:39:33 AM UTC 2026

% Result   : Satisfiable 10.94s 2.11s
% Output   : FiniteModel 10.94s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
tff('declare_$i1',type,
    'fmb_$i_1': $i ).

tff('finite_domain_$i',axiom,
    ! [X: $i] : ( X = 'fmb_$i_1' ) ).

tff('declare_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',type,
    'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$': $tType ).

tff('declare_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$1',type,
    'fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1': 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).

tff('finite_domain_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ( X = 'fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$',type,
    'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$1',type,
    'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1': 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_ell2_a_ell2_cblinfun$',type,
    'A_ell2_a_ell2_cblinfun$': $tType ).

tff('declare_A_ell2_a_ell2_cblinfun$1',type,
    'fmb_A_ell2_a_ell2_cblinfun$_1': 'A_ell2_a_ell2_cblinfun$' ).

tff('finite_domain_A_ell2_a_ell2_cblinfun$',axiom,
    ! [X: 'A_ell2_a_ell2_cblinfun$'] : ( X = 'fmb_A_ell2_a_ell2_cblinfun$_1' ) ).

tff('declare_A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_a_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_fun$',type,
    'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_a_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_a_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_a_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_fun$_1': 'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_a_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_a_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_a_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_a_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$',type,
    'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$': $tType ).

tff('declare_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$1',type,
    'fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$_1': 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$' ).

tff('finite_domain_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$'] : ( X = 'fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$',type,
    'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$': $tType ).

tff('declare_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$1',type,
    'fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$_1': 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$' ).

tff('finite_domain_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$'] : ( X = 'fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$',type,
    'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$': $tType ).

tff('declare_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$1',type,
    'fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1': 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ).

tff('finite_domain_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'] : ( X = 'fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$',type,
    'A_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$_1': 'A_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_ell2_a_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$',type,
    'A_ell2_a_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_ell2_a_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_ell2_a_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1': 'A_ell2_a_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_ell2_a_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_ell2_a_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_ell2_a_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$',type,
    'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$': $tType ).

tff('declare_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$1',type,
    'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$_1': 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$' ).

tff('finite_domain_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$',axiom,
    ! [X: 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'] : ( X = 'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$_1' ) ).

tff('declare_A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_fun$',type,
    'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_fun$_1': 'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',type,
    'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$1',type,
    'fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1': 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',type,
    'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$1',type,
    'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1': 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$',type,
    'A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1': 'A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_B_ell2_b_ell2_cblinfun$',type,
    'B_ell2_b_ell2_cblinfun$': $tType ).

tff('declare_B_ell2_b_ell2_cblinfun$1',type,
    'fmb_B_ell2_b_ell2_cblinfun$_1': 'B_ell2_b_ell2_cblinfun$' ).

tff('finite_domain_B_ell2_b_ell2_cblinfun$',axiom,
    ! [X: 'B_ell2_b_ell2_cblinfun$'] : ( X = 'fmb_B_ell2_b_ell2_cblinfun$_1' ) ).

tff('declare_A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',type,
    'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$1',type,
    'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1': 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun$',type,
    'A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun$': $tType ).

tff('declare_A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun$1',type,
    'fmb_A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun$_1': 'A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun$' ).

tff('finite_domain_A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun$',axiom,
    ! [X: 'A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun$'] : ( X = 'fmb_A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun$_1' ) ).

tff('declare_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$',type,
    'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1': 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$',type,
    'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$1',type,
    'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$_1': 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_b_complement_domain_c_prod_ell2_a_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_b_complement_domain_c_prod_ell2_a_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_b_complement_domain_c_prod_ell2_a_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_b_complement_domain_c_prod_ell2_a_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_b_complement_domain_c_prod_ell2_a_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_b_complement_domain_c_prod_ell2_a_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_b_complement_domain_c_prod_ell2_a_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_b_complement_domain_c_prod_ell2_a_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_fun$',type,
    'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_fun$1',type,
    'fmb_B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_fun$_1': 'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',type,
    'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$1',type,
    'fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1': 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$',type,
    'C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1': 'C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$',type,
    'A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1': 'A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$',type,
    'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$': $tType ).

tff('declare_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$1',type,
    'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$_1': 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$' ).

tff('finite_domain_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$',axiom,
    ! [X: 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$'] : ( X = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$_1' ) ).

tff('declare_A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$',type,
    'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$_1': 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',type,
    'C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$1',type,
    'fmb_C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1': 'C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$',type,
    'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1': 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$',type,
    'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$': $tType ).

tff('declare_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$1',type,
    'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$_1': 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$' ).

tff('finite_domain_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$',axiom,
    ! [X: 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$'] : ( X = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$_1' ) ).

tff('declare_C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',type,
    'C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$1',type,
    'fmb_C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1': 'C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$',type,
    'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$': $tType ).

tff('declare_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$1',type,
    'fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$_1': 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$' ).

tff('finite_domain_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$',axiom,
    ! [X: 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$'] : ( X = 'fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$_1' ) ).

tff('declare_B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$',type,
    'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$1',type,
    'fmb_B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1': 'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$',type,
    'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$1',type,
    'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1': 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_prod_ell2_a_a_prod_ell2_cblinfun$',type,
    'A_a_prod_ell2_a_a_prod_ell2_cblinfun$': $tType ).

tff('declare_A_a_prod_ell2_a_a_prod_ell2_cblinfun$1',type,
    'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun$_1': 'A_a_prod_ell2_a_a_prod_ell2_cblinfun$' ).

tff('finite_domain_A_a_prod_ell2_a_a_prod_ell2_cblinfun$',axiom,
    ! [X: 'A_a_prod_ell2_a_a_prod_ell2_cblinfun$'] : ( X = 'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun$_1' ) ).

tff('declare_A_c_prod_ell2$',type,
    'A_c_prod_ell2$': $tType ).

tff('declare_A_c_prod_ell2$1',type,
    'fmb_A_c_prod_ell2$_1': 'A_c_prod_ell2$' ).

tff('finite_domain_A_c_prod_ell2$',axiom,
    ! [X: 'A_c_prod_ell2$'] : ( X = 'fmb_A_c_prod_ell2$_1' ) ).

tff('declare_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',type,
    'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$': $tType ).

tff('declare_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$1',type,
    'fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1': 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).

tff('finite_domain_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ( X = 'fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$',type,
    'C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$': $tType ).

tff('declare_C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$1',type,
    'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$_1': 'C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$' ).

tff('finite_domain_C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$',axiom,
    ! [X: 'C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$'] : ( X = 'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$_1' ) ).

tff('declare_A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$',type,
    'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1': 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$',type,
    'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$1',type,
    'fmb_B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1': 'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$',type,
    'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1': 'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_b_complement_domain_a_b_complement_domain_prod_ell2_c_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',type,
    'C_b_complement_domain_a_b_complement_domain_prod_ell2_c_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_C_b_complement_domain_a_b_complement_domain_prod_ell2_c_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$1',type,
    'fmb_C_b_complement_domain_a_b_complement_domain_prod_ell2_c_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1': 'C_b_complement_domain_a_b_complement_domain_prod_ell2_c_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_C_b_complement_domain_a_b_complement_domain_prod_ell2_c_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_b_complement_domain_a_b_complement_domain_prod_ell2_c_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_C_b_complement_domain_a_b_complement_domain_prod_ell2_c_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_ell2_c_ell2_cblinfun$',type,
    'C_ell2_c_ell2_cblinfun$': $tType ).

tff('declare_C_ell2_c_ell2_cblinfun$1',type,
    'fmb_C_ell2_c_ell2_cblinfun$_1': 'C_ell2_c_ell2_cblinfun$' ).

tff('finite_domain_C_ell2_c_ell2_cblinfun$',axiom,
    ! [X: 'C_ell2_c_ell2_cblinfun$'] : ( X = 'fmb_C_ell2_c_ell2_cblinfun$_1' ) ).

tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$',type,
    'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1': 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_a_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_fun$',type,
    'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_a_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_a_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_a_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_fun$_1': 'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_a_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_a_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_a_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_a_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun$',type,
    'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun$': $tType ).

tff('declare_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun$1',type,
    'fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun$_1': 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun$' ).

tff('finite_domain_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun$',axiom,
    ! [X: 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun$'] : ( X = 'fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun$_1' ) ).

tff('declare_C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$',type,
    'C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$': $tType ).

tff('declare_C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$1',type,
    'fmb_C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$_1': 'C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$' ).

tff('finite_domain_C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$',axiom,
    ! [X: 'C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$'] : ( X = 'fmb_C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$_1' ) ).

tff('declare_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$',type,
    'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1': 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',type,
    'C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$1',type,
    'fmb_C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1': 'C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_bool_fun$',type,
    'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_bool_fun$': $tType ).

tff('declare_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_bool_fun$1',type,
    'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_bool_fun$_1': 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_bool_fun$' ).

tff('finite_domain_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_bool_fun$',axiom,
    ! [X: 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_bool_fun$'] : ( X = 'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_bool_fun$_1' ) ).

tff('declare_A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun$',type,
    'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun$': $tType ).

tff('declare_A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun$1',type,
    'fmb_A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun$_1': 'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun$' ).

tff('finite_domain_A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun$',axiom,
    ! [X: 'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun$'] : ( X = 'fmb_A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun$_1' ) ).

tff('declare_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$',type,
    'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$': $tType ).

tff('declare_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$1',type,
    'fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$_1': 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$' ).

tff('finite_domain_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$',axiom,
    ! [X: 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$'] : ( X = 'fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$_1' ) ).

tff('declare_A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$',type,
    'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$_1': 'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',type,
    'A_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1': 'A_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$',type,
    'C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$1',type,
    'fmb_C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$_1': 'C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$',type,
    'B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$1',type,
    'fmb_B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1': 'B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$',type,
    'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$': $tType ).

tff('declare_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$1',type,
    'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$_1': 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$' ).

tff('finite_domain_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$',axiom,
    ! [X: 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$'] : ( X = 'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$_1' ) ).

tff('declare_C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun$',type,
    'C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun$': $tType ).

tff('declare_C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun$1',type,
    'fmb_C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun$_1': 'C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun$' ).

tff('finite_domain_C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun$',axiom,
    ! [X: 'C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun$'] : ( X = 'fmb_C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun$_1' ) ).

tff('declare_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$',type,
    'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$1',type,
    'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1': 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_B_b_c_complement_domain_prod_ell2_b_b_c_complement_domain_prod_ell2_cblinfun$',type,
    'B_b_c_complement_domain_prod_ell2_b_b_c_complement_domain_prod_ell2_cblinfun$': $tType ).

tff('declare_B_b_c_complement_domain_prod_ell2_b_b_c_complement_domain_prod_ell2_cblinfun$1',type,
    'fmb_B_b_c_complement_domain_prod_ell2_b_b_c_complement_domain_prod_ell2_cblinfun$_1': 'B_b_c_complement_domain_prod_ell2_b_b_c_complement_domain_prod_ell2_cblinfun$' ).

tff('finite_domain_B_b_c_complement_domain_prod_ell2_b_b_c_complement_domain_prod_ell2_cblinfun$',axiom,
    ! [X: 'B_b_c_complement_domain_prod_ell2_b_b_c_complement_domain_prod_ell2_cblinfun$'] : ( X = 'fmb_B_b_c_complement_domain_prod_ell2_b_b_c_complement_domain_prod_ell2_cblinfun$_1' ) ).

tff('declare_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun$',type,
    'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun$': $tType ).

tff('declare_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun$1',type,
    'fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun$_1': 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun$' ).

tff('finite_domain_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun$',axiom,
    ! [X: 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun$'] : ( X = 'fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun$_1' ) ).

tff('declare_C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$',type,
    'C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$1',type,
    'fmb_C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1': 'C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$',type,
    'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$': $tType ).

tff('declare_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$1',type,
    'fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$_1': 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$' ).

tff('finite_domain_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$',axiom,
    ! [X: 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$'] : ( X = 'fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$_1' ) ).

tff('declare_C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun$',type,
    'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun$1',type,
    'fmb_C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun$_1': 'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$',type,
    'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$_1': 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$',type,
    'C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$': $tType ).

tff('declare_C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$1',type,
    'fmb_C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$_1': 'C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$' ).

tff('finite_domain_C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$',axiom,
    ! [X: 'C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$'] : ( X = 'fmb_C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$_1' ) ).

tff('declare_C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set$',type,
    'C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set$': $tType ).

tff('declare_C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set$1',type,
    'fmb_C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set$_1': 'C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set$' ).

tff('finite_domain_C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set$',axiom,
    ! [X: 'C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set$'] : ( X = 'fmb_C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set$_1' ) ).

tff('declare_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$',type,
    'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$': $tType ).

tff('declare_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$1',type,
    'fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1': 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ).

tff('finite_domain_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'] : ( X = 'fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun$',type,
    'C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun$': $tType ).

tff('declare_C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun$1',type,
    'fmb_C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun$_1': 'C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun$' ).

tff('finite_domain_C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun$',axiom,
    ! [X: 'C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun$'] : ( X = 'fmb_C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun$_1' ) ).

tff('declare_A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_a_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_fun$',type,
    'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_a_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_a_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_a_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_fun$_1': 'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_a_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_a_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_a_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_a_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_B$',type,
    'B$': $tType ).

tff('declare_B$1',type,
    'fmb_B$_1': 'B$' ).

tff('finite_domain_B$',axiom,
    ! [X: 'B$'] : ( X = 'fmb_B$_1' ) ).

tff('declare_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$',type,
    'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1': 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',type,
    'B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$': $tType ).

tff('declare_B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$1',type,
    'fmb_B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1': 'B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).

tff('finite_domain_B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',axiom,
    ! [X: 'B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ( X = 'fmb_B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set$',type,
    'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set$': $tType ).

tff('declare_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set$1',type,
    'fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set$_1': 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set$' ).

tff('finite_domain_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set$',axiom,
    ! [X: 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set$'] : ( X = 'fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set$_1' ) ).

tff('declare_C_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'C_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_C_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_C_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'C_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_C_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_C_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun$',type,
    'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun$': $tType ).

tff('declare_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun$1',type,
    'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun$_1': 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun$' ).

tff('finite_domain_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun$',axiom,
    ! [X: 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun$'] : ( X = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun$_1' ) ).

tff('declare_B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun$',type,
    'B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun$': $tType ).

tff('declare_B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun$1',type,
    'fmb_B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun$_1': 'B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun$' ).

tff('finite_domain_B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun$',axiom,
    ! [X: 'B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun$'] : ( X = 'fmb_B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun$_1' ) ).

tff('declare_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$',type,
    'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1': 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',type,
    'C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$': $tType ).

tff('declare_C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$1',type,
    'fmb_C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1': 'C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).

tff('finite_domain_C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ( X = 'fmb_C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$',type,
    'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$': $tType ).

tff('declare_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$1',type,
    'fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$_1': 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$' ).

tff('finite_domain_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$'] : ( X = 'fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$_1' ) ).

tff('declare_B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun$',type,
    'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun$1',type,
    'fmb_B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun$_1': 'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',type,
    'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$1',type,
    'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1': 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$',type,
    'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$1',type,
    'fmb_C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1': 'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',type,
    'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$': $tType ).

tff('declare_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$1',type,
    'fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1': 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).

tff('finite_domain_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ( X = 'fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$',type,
    'A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$': $tType ).

tff('declare_A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$1',type,
    'fmb_A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$_1': 'A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$' ).

tff('finite_domain_A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$',axiom,
    ! [X: 'A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$'] : ( X = 'fmb_A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$_1' ) ).

tff('declare_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_fun$',type,
    'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_fun$_1': 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$',type,
    'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1': 'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',type,
    'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1': 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$',type,
    'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1': 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_C$',type,
    'C$': $tType ).

tff('declare_C$1',type,
    'fmb_C$_1': 'C$' ).

tff('finite_domain_C$',axiom,
    ! [X: 'C$'] : ( X = 'fmb_C$_1' ) ).

tff('declare_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun$',type,
    'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun$': $tType ).

tff('declare_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun$1',type,
    'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun$_1': 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun$' ).

tff('finite_domain_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun$',axiom,
    ! [X: 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun$'] : ( X = 'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun$_1' ) ).

tff('declare_A_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$',type,
    'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$1',type,
    'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1': 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',type,
    'A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1': 'A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_c_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',type,
    'C_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_c_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_C_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_c_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$1',type,
    'fmb_C_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_c_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1': 'C_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_c_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_C_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_c_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_c_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_C_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_c_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_ell2$',type,
    'C_ell2$': $tType ).

tff('declare_C_ell2$1',type,
    'fmb_C_ell2$_1': 'C_ell2$' ).

tff('finite_domain_C_ell2$',axiom,
    ! [X: 'C_ell2$'] : ( X = 'fmb_C_ell2$_1' ) ).

tff('declare_A_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$',type,
    'A_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1': 'A_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'C_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_C_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_C_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'C_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_C_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_C_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_fun$',type,
    'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_fun$1',type,
    'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_fun$_1': 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$',type,
    'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1': 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_b_complement_domain_b_complement_domain_ell2_a_b_complement_domain_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_b_complement_domain_b_complement_domain_ell2_a_b_complement_domain_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_b_complement_domain_b_complement_domain_ell2_a_b_complement_domain_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_b_complement_domain_b_complement_domain_ell2_a_b_complement_domain_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_b_complement_domain_b_complement_domain_ell2_a_b_complement_domain_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_b_complement_domain_b_complement_domain_ell2_a_b_complement_domain_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_b_complement_domain_b_complement_domain_ell2_a_b_complement_domain_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_b_complement_domain_b_complement_domain_ell2_a_b_complement_domain_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$',type,
    'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1': 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun$',type,
    'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun$1',type,
    'fmb_C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun$_1': 'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set$',type,
    'C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set$': $tType ).

tff('declare_C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set$1',type,
    'fmb_C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set$_1': 'C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set$' ).

tff('finite_domain_C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set$',axiom,
    ! [X: 'C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set$'] : ( X = 'fmb_C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set$_1' ) ).

tff('declare_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',type,
    'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1': 'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$',type,
    'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1': 'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',type,
    'A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$1',type,
    'fmb_A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1': 'A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' ) ).

tff('declare_B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$',type,
    'B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$1',type,
    'fmb_B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1': 'B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$',type,
    'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$1',type,
    'fmb_B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1': 'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_c_a_complement_domain_prod_ell2_c_c_a_complement_domain_prod_ell2_cblinfun$',type,
    'C_c_a_complement_domain_prod_ell2_c_c_a_complement_domain_prod_ell2_cblinfun$': $tType ).

tff('declare_C_c_a_complement_domain_prod_ell2_c_c_a_complement_domain_prod_ell2_cblinfun$1',type,
    'fmb_C_c_a_complement_domain_prod_ell2_c_c_a_complement_domain_prod_ell2_cblinfun$_1': 'C_c_a_complement_domain_prod_ell2_c_c_a_complement_domain_prod_ell2_cblinfun$' ).

tff('finite_domain_C_c_a_complement_domain_prod_ell2_c_c_a_complement_domain_prod_ell2_cblinfun$',axiom,
    ! [X: 'C_c_a_complement_domain_prod_ell2_c_c_a_complement_domain_prod_ell2_cblinfun$'] : ( X = 'fmb_C_c_a_complement_domain_prod_ell2_c_c_a_complement_domain_prod_ell2_cblinfun$_1' ) ).

tff('declare_B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun$',type,
    'B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun$': $tType ).

tff('declare_B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun$1',type,
    'fmb_B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun$_1': 'B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun$' ).

tff('finite_domain_B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun$',axiom,
    ! [X: 'B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun$'] : ( X = 'fmb_B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun$_1' ) ).

tff('declare_A_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',type,
    'A_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1': 'A_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',type,
    'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$': $tType ).

tff('declare_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$1',type,
    'fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1': 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).

tff('finite_domain_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ( X = 'fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_B_b_a_complement_domain_prod_ell2_b_b_a_complement_domain_prod_ell2_cblinfun$',type,
    'B_b_a_complement_domain_prod_ell2_b_b_a_complement_domain_prod_ell2_cblinfun$': $tType ).

tff('declare_B_b_a_complement_domain_prod_ell2_b_b_a_complement_domain_prod_ell2_cblinfun$1',type,
    'fmb_B_b_a_complement_domain_prod_ell2_b_b_a_complement_domain_prod_ell2_cblinfun$_1': 'B_b_a_complement_domain_prod_ell2_b_b_a_complement_domain_prod_ell2_cblinfun$' ).

tff('finite_domain_B_b_a_complement_domain_prod_ell2_b_b_a_complement_domain_prod_ell2_cblinfun$',axiom,
    ! [X: 'B_b_a_complement_domain_prod_ell2_b_b_a_complement_domain_prod_ell2_cblinfun$'] : ( X = 'fmb_B_b_a_complement_domain_prod_ell2_b_b_a_complement_domain_prod_ell2_cblinfun$_1' ) ).

tff('declare_A_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',type,
    'A_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1': 'A_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$',type,
    'A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1': 'A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$',type,
    'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1': 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_a_prod_ell2_c_a_prod_ell2_cblinfun$',type,
    'C_a_prod_ell2_c_a_prod_ell2_cblinfun$': $tType ).

tff('declare_C_a_prod_ell2_c_a_prod_ell2_cblinfun$1',type,
    'fmb_C_a_prod_ell2_c_a_prod_ell2_cblinfun$_1': 'C_a_prod_ell2_c_a_prod_ell2_cblinfun$' ).

tff('finite_domain_C_a_prod_ell2_c_a_prod_ell2_cblinfun$',axiom,
    ! [X: 'C_a_prod_ell2_c_a_prod_ell2_cblinfun$'] : ( X = 'fmb_C_a_prod_ell2_c_a_prod_ell2_cblinfun$_1' ) ).

tff('declare_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$',type,
    'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1': 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_a_c_prod_prod_ell2_c_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',type,
    'C_a_c_prod_prod_ell2_c_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_C_a_c_prod_prod_ell2_c_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$1',type,
    'fmb_C_a_c_prod_prod_ell2_c_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1': 'C_a_c_prod_prod_ell2_c_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_C_a_c_prod_prod_ell2_c_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_a_c_prod_prod_ell2_c_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_C_a_c_prod_prod_ell2_c_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$',type,
    'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$_1': 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$',type,
    'C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$': $tType ).

tff('declare_C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$1',type,
    'fmb_C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1': 'C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ).

tff('finite_domain_C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'] : ( X = 'fmb_C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',type,
    'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$': $tType ).

tff('declare_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$1',type,
    'fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1': 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).

tff('finite_domain_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ( X = 'fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',type,
    'C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$1',type,
    'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1': 'C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$',type,
    'A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$_1': 'A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',type,
    'C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$1',type,
    'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1': 'C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$',type,
    'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$_1': 'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_prod_b_complement_domain_c_prod_ell2_a_c_prod_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_c_prod_b_complement_domain_c_prod_ell2_a_c_prod_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_prod_b_complement_domain_c_prod_ell2_a_c_prod_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_c_prod_b_complement_domain_c_prod_ell2_a_c_prod_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_c_prod_b_complement_domain_c_prod_ell2_a_c_prod_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_prod_b_complement_domain_c_prod_ell2_a_c_prod_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_prod_b_complement_domain_c_prod_ell2_a_c_prod_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_prod_b_complement_domain_c_prod_ell2_a_c_prod_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$',type,
    'C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$_1': 'C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',type,
    'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1': 'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$',type,
    'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1': 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_ell2_c_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$',type,
    'C_ell2_c_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_C_ell2_c_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$1',type,
    'fmb_C_ell2_c_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1': 'C_ell2_c_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_C_ell2_c_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_ell2_c_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_C_ell2_c_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_a_complement_domain_prod_ell2_a_a_a_complement_domain_prod_ell2_cblinfun$',type,
    'A_a_a_complement_domain_prod_ell2_a_a_a_complement_domain_prod_ell2_cblinfun$': $tType ).

tff('declare_A_a_a_complement_domain_prod_ell2_a_a_a_complement_domain_prod_ell2_cblinfun$1',type,
    'fmb_A_a_a_complement_domain_prod_ell2_a_a_a_complement_domain_prod_ell2_cblinfun$_1': 'A_a_a_complement_domain_prod_ell2_a_a_a_complement_domain_prod_ell2_cblinfun$' ).

tff('finite_domain_A_a_a_complement_domain_prod_ell2_a_a_a_complement_domain_prod_ell2_cblinfun$',axiom,
    ! [X: 'A_a_a_complement_domain_prod_ell2_a_a_a_complement_domain_prod_ell2_cblinfun$'] : ( X = 'fmb_A_a_a_complement_domain_prod_ell2_a_a_a_complement_domain_prod_ell2_cblinfun$_1' ) ).

tff('declare_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',type,
    'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$': $tType ).

tff('declare_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$1',type,
    'fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1': 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).

tff('finite_domain_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',axiom,
    ! [X: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ( X = 'fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' ) ).

tff('declare_B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$',type,
    'B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$': $tType ).

tff('declare_B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$1',type,
    'fmb_B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1': 'B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ).

tff('finite_domain_B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$',axiom,
    ! [X: 'B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'] : ( X = 'fmb_B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun$',type,
    'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun$': $tType ).

tff('declare_C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun$1',type,
    'fmb_C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun$_1': 'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun$' ).

tff('finite_domain_C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun$',axiom,
    ! [X: 'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun$'] : ( X = 'fmb_C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun$_1' ) ).

tff('declare_B_ell2_b_ell2_cblinfun_set$',type,
    'B_ell2_b_ell2_cblinfun_set$': $tType ).

tff('declare_B_ell2_b_ell2_cblinfun_set$1',type,
    'fmb_B_ell2_b_ell2_cblinfun_set$_1': 'B_ell2_b_ell2_cblinfun_set$' ).

tff('finite_domain_B_ell2_b_ell2_cblinfun_set$',axiom,
    ! [X: 'B_ell2_b_ell2_cblinfun_set$'] : ( X = 'fmb_B_ell2_b_ell2_cblinfun_set$_1' ) ).

tff('declare_C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_c_prod_ell2_c_c_prod_ell2_cblinfun$',type,
    'C_c_prod_ell2_c_c_prod_ell2_cblinfun$': $tType ).

tff('declare_C_c_prod_ell2_c_c_prod_ell2_cblinfun$1',type,
    'fmb_C_c_prod_ell2_c_c_prod_ell2_cblinfun$_1': 'C_c_prod_ell2_c_c_prod_ell2_cblinfun$' ).

tff('finite_domain_C_c_prod_ell2_c_c_prod_ell2_cblinfun$',axiom,
    ! [X: 'C_c_prod_ell2_c_c_prod_ell2_cblinfun$'] : ( X = 'fmb_C_c_prod_ell2_c_c_prod_ell2_cblinfun$_1' ) ).

tff('declare_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',type,
    'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$': $tType ).

tff('declare_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$1',type,
    'fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1': 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).

tff('finite_domain_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ( X = 'fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_c_complement_domain_prod_ell2_a_a_c_complement_domain_prod_ell2_cblinfun$',type,
    'A_a_c_complement_domain_prod_ell2_a_a_c_complement_domain_prod_ell2_cblinfun$': $tType ).

tff('declare_A_a_c_complement_domain_prod_ell2_a_a_c_complement_domain_prod_ell2_cblinfun$1',type,
    'fmb_A_a_c_complement_domain_prod_ell2_a_a_c_complement_domain_prod_ell2_cblinfun$_1': 'A_a_c_complement_domain_prod_ell2_a_a_c_complement_domain_prod_ell2_cblinfun$' ).

tff('finite_domain_A_a_c_complement_domain_prod_ell2_a_a_c_complement_domain_prod_ell2_cblinfun$',axiom,
    ! [X: 'A_a_c_complement_domain_prod_ell2_a_a_c_complement_domain_prod_ell2_cblinfun$'] : ( X = 'fmb_A_a_c_complement_domain_prod_ell2_a_a_c_complement_domain_prod_ell2_cblinfun$_1' ) ).

tff('declare_A_ell2_a_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$',type,
    'A_ell2_a_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_ell2_a_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_ell2_a_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1': 'A_ell2_a_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_ell2_a_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_ell2_a_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_ell2_a_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_ell2_a_ell2_cblinfun_set$',type,
    'A_ell2_a_ell2_cblinfun_set$': $tType ).

tff('declare_A_ell2_a_ell2_cblinfun_set$1',type,
    'fmb_A_ell2_a_ell2_cblinfun_set$_1': 'A_ell2_a_ell2_cblinfun_set$' ).

tff('finite_domain_A_ell2_a_ell2_cblinfun_set$',axiom,
    ! [X: 'A_ell2_a_ell2_cblinfun_set$'] : ( X = 'fmb_A_ell2_a_ell2_cblinfun_set$_1' ) ).

tff('declare_A_c_prod_a_prod_ell2_a_c_prod_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',type,
    'A_c_prod_a_prod_ell2_a_c_prod_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_prod_a_prod_ell2_a_c_prod_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_c_prod_a_prod_ell2_a_c_prod_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1': 'A_c_prod_a_prod_ell2_a_c_prod_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_prod_a_prod_ell2_a_c_prod_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_prod_a_prod_ell2_a_c_prod_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_prod_a_prod_ell2_a_c_prod_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',type,
    'A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$1',type,
    'fmb_A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1': 'A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$',type,
    'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1': 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$',type,
    'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1': 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$',type,
    'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$': $tType ).

tff('declare_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$1',type,
    'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$_1': 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$' ).

tff('finite_domain_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$',axiom,
    ! [X: 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$'] : ( X = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$_1' ) ).

tff('declare_A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$',type,
    'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1': 'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$',type,
    'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$': $tType ).

tff('declare_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$1',type,
    'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$_1': 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$' ).

tff('finite_domain_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$',axiom,
    ! [X: 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'] : ( X = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$_1' ) ).

tff('declare_A_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',type,
    'A_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1': 'A_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'C_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_C_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_C_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'C_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_C_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_C_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_ell2$',type,
    'A_ell2$': $tType ).

tff('declare_A_ell2$1',type,
    'fmb_A_ell2$_1': 'A_ell2$' ).

tff('finite_domain_A_ell2$',axiom,
    ! [X: 'A_ell2$'] : ( X = 'fmb_A_ell2$_1' ) ).

tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$',type,
    'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$_1': 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',type,
    'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1': 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_fun$',type,
    'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_fun$_1': 'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$',type,
    'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$': $tType ).

tff('declare_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$1',type,
    'fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$_1': 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$' ).

tff('finite_domain_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$',axiom,
    ! [X: 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$'] : ( X = 'fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$_1' ) ).

tff('declare_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$',type,
    'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1': 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$',type,
    'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1': 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_A$',type,
    'A$': $tType ).

tff('declare_A$1',type,
    'fmb_A$_1': 'A$' ).

tff('finite_domain_A$',axiom,
    ! [X: 'A$'] : ( X = 'fmb_A$_1' ) ).

tff('declare_C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun$',type,
    'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun$1',type,
    'fmb_C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun$_1': 'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_b_complement_domain_c_b_complement_domain_prod_ell2_c_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',type,
    'C_b_complement_domain_c_b_complement_domain_prod_ell2_c_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_C_b_complement_domain_c_b_complement_domain_prod_ell2_c_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$1',type,
    'fmb_C_b_complement_domain_c_b_complement_domain_prod_ell2_c_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1': 'C_b_complement_domain_c_b_complement_domain_prod_ell2_c_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_C_b_complement_domain_c_b_complement_domain_prod_ell2_c_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_b_complement_domain_c_b_complement_domain_prod_ell2_c_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_C_b_complement_domain_c_b_complement_domain_prod_ell2_c_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',type,
    'C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$': $tType ).

tff('declare_C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$1',type,
    'fmb_C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1': 'C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).

tff('finite_domain_C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ( X = 'fmb_C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_prod$',type,
    'A_c_prod$': $tType ).

tff('declare_A_c_prod$1',type,
    'fmb_A_c_prod$_1': 'A_c_prod$' ).

tff('finite_domain_A_c_prod$',axiom,
    ! [X: 'A_c_prod$'] : ( X = 'fmb_A_c_prod$_1' ) ).

tff('declare_B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$',type,
    'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1': 'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun$',type,
    'B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun$': $tType ).

tff('declare_B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun$1',type,
    'fmb_B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun$_1': 'B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun$' ).

tff('finite_domain_B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun$',axiom,
    ! [X: 'B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun$'] : ( X = 'fmb_B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun$_1' ) ).

tff('declare_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',type,
    'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$': $tType ).

tff('declare_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$1',type,
    'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1': 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).

tff('finite_domain_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ( X = 'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$',type,
    'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$': $tType ).

tff('declare_C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$1',type,
    'fmb_C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1': 'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ).

tff('finite_domain_C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'] : ( X = 'fmb_C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_a_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_fun$',type,
    'A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_a_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_a_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_a_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_fun$_1': 'A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_a_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_a_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_a_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_a_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_c_c_complement_domain_prod_ell2_c_c_c_complement_domain_prod_ell2_cblinfun$',type,
    'C_c_c_complement_domain_prod_ell2_c_c_c_complement_domain_prod_ell2_cblinfun$': $tType ).

tff('declare_C_c_c_complement_domain_prod_ell2_c_c_c_complement_domain_prod_ell2_cblinfun$1',type,
    'fmb_C_c_c_complement_domain_prod_ell2_c_c_c_complement_domain_prod_ell2_cblinfun$_1': 'C_c_c_complement_domain_prod_ell2_c_c_c_complement_domain_prod_ell2_cblinfun$' ).

tff('finite_domain_C_c_c_complement_domain_prod_ell2_c_c_c_complement_domain_prod_ell2_cblinfun$',axiom,
    ! [X: 'C_c_c_complement_domain_prod_ell2_c_c_c_complement_domain_prod_ell2_cblinfun$'] : ( X = 'fmb_C_c_c_complement_domain_prod_ell2_c_c_c_complement_domain_prod_ell2_cblinfun$_1' ) ).

tff('declare_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$',type,
    'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1': 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$',type,
    'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$': $tType ).

tff('declare_A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$1',type,
    'fmb_A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$_1': 'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$' ).

tff('finite_domain_A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$',axiom,
    ! [X: 'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$'] : ( X = 'fmb_A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$_1' ) ).

tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun$',type,
    'B_b_prod_ell2_b_b_prod_ell2_cblinfun$': $tType ).

tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun$1',type,
    'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun$_1': 'B_b_prod_ell2_b_b_prod_ell2_cblinfun$' ).

tff('finite_domain_B_b_prod_ell2_b_b_prod_ell2_cblinfun$',axiom,
    ! [X: 'B_b_prod_ell2_b_b_prod_ell2_cblinfun$'] : ( X = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun$_1' ) ).

tff('declare_A_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun$',type,
    'A_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun$': $tType ).

tff('declare_A_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun$1',type,
    'fmb_A_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun$_1': 'A_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun$' ).

tff('finite_domain_A_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun$',axiom,
    ! [X: 'A_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun$'] : ( X = 'fmb_A_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun$_1' ) ).

tff('declare_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',type,
    'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$': $tType ).

tff('declare_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$1',type,
    'fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1': 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).

tff('finite_domain_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',axiom,
    ! [X: 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ( X = 'fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',type,
    'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$1',type,
    'fmb_C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1': 'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_b_complement_domain_c_b_complement_domain_prod_ell2_a_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',type,
    'A_b_complement_domain_c_b_complement_domain_prod_ell2_a_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_b_complement_domain_c_b_complement_domain_prod_ell2_a_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_b_complement_domain_c_b_complement_domain_prod_ell2_a_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1': 'A_b_complement_domain_c_b_complement_domain_prod_ell2_a_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_b_complement_domain_c_b_complement_domain_prod_ell2_a_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_b_complement_domain_c_b_complement_domain_prod_ell2_a_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_b_complement_domain_c_b_complement_domain_prod_ell2_a_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun$',type,
    'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun$': $tType ).

tff('declare_C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun$1',type,
    'fmb_C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun$_1': 'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun$' ).

tff('finite_domain_C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun$',axiom,
    ! [X: 'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun$'] : ( X = 'fmb_C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun$_1' ) ).

tff('declare_B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$',type,
    'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$1',type,
    'fmb_B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1': 'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_fun$',type,
    'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_fun$_1': 'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$',type,
    'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$': $tType ).

tff('declare_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$1',type,
    'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$_1': 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$' ).

tff('finite_domain_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$',axiom,
    ! [X: 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$'] : ( X = 'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$_1' ) ).

tff('declare_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',type,
    'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$': $tType ).

tff('declare_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$1',type,
    'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1': 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).

tff('finite_domain_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ( X = 'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',type,
    'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1': 'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun$',type,
    'A_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun$_1': 'A_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$',type,
    'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$': $tType ).

tff('declare_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$1',type,
    'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$_1': 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$' ).

tff('finite_domain_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$',axiom,
    ! [X: 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$'] : ( X = 'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$_1' ) ).

tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$',type,
    'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1': 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$',type,
    'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$': $tType ).

tff('declare_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$1',type,
    'fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$_1': 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$' ).

tff('finite_domain_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$',axiom,
    ! [X: 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$'] : ( X = 'fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$_1' ) ).

tff('declare_A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$',type,
    'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1': 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun$',type,
    'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun$_1': 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$',type,
    'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$_1': 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$',type,
    'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1': 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_fun$',type,
    'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_fun$_1': 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$',type,
    'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1': 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$',type,
    'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1': 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$',type,
    'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$1',type,
    'fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1': 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',type,
    'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$1',type,
    'fmb_C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1': 'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_fun$',type,
    'A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_fun$_1': 'A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$',type,
    'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$_1': 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_bool_fun$',type,
    'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_bool_fun$': $tType ).

tff('declare_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_bool_fun$1',type,
    'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_bool_fun$_1': 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_bool_fun$' ).

tff('finite_domain_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_bool_fun$',axiom,
    ! [X: 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_bool_fun$'] : ( X = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_bool_fun$_1' ) ).

tff('declare_A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$',type,
    'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$_1': 'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$',type,
    'A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1': 'A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_B_b_b_complement_domain_prod_ell2_b_b_b_complement_domain_prod_ell2_cblinfun$',type,
    'B_b_b_complement_domain_prod_ell2_b_b_b_complement_domain_prod_ell2_cblinfun$': $tType ).

tff('declare_B_b_b_complement_domain_prod_ell2_b_b_b_complement_domain_prod_ell2_cblinfun$1',type,
    'fmb_B_b_b_complement_domain_prod_ell2_b_b_b_complement_domain_prod_ell2_cblinfun$_1': 'B_b_b_complement_domain_prod_ell2_b_b_b_complement_domain_prod_ell2_cblinfun$' ).

tff('finite_domain_B_b_b_complement_domain_prod_ell2_b_b_b_complement_domain_prod_ell2_cblinfun$',axiom,
    ! [X: 'B_b_b_complement_domain_prod_ell2_b_b_b_complement_domain_prod_ell2_cblinfun$'] : ( X = 'fmb_B_b_b_complement_domain_prod_ell2_b_b_b_complement_domain_prod_ell2_cblinfun$_1' ) ).

tff('declare_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',type,
    'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$': $tType ).

tff('declare_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$1',type,
    'fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1': 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).

tff('finite_domain_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ( X = 'fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$',type,
    'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1': 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_prod_ell2_a_c_prod_ell2_cblinfun$',type,
    'A_c_prod_ell2_a_c_prod_ell2_cblinfun$': $tType ).

tff('declare_A_c_prod_ell2_a_c_prod_ell2_cblinfun$1',type,
    'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun$_1': 'A_c_prod_ell2_a_c_prod_ell2_cblinfun$' ).

tff('finite_domain_A_c_prod_ell2_a_c_prod_ell2_cblinfun$',axiom,
    ! [X: 'A_c_prod_ell2_a_c_prod_ell2_cblinfun$'] : ( X = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun$_1' ) ).

tff('declare_C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',type,
    'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$1',type,
    'fmb_C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1': 'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',type,
    'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1': 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$',type,
    'C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$': $tType ).

tff('declare_C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$1',type,
    'fmb_C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$_1': 'C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$' ).

tff('finite_domain_C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$',axiom,
    ! [X: 'C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$'] : ( X = 'fmb_C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$_1' ) ).

tff('declare_A_c_prod_a_c_prod_prod_ell2_a_c_prod_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',type,
    'A_c_prod_a_c_prod_prod_ell2_a_c_prod_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_prod_a_c_prod_prod_ell2_a_c_prod_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_c_prod_a_c_prod_prod_ell2_a_c_prod_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1': 'A_c_prod_a_c_prod_prod_ell2_a_c_prod_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_prod_a_c_prod_prod_ell2_a_c_prod_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_prod_a_c_prod_prod_ell2_a_c_prod_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_prod_a_c_prod_prod_ell2_a_c_prod_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',type,
    'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$': $tType ).

tff('declare_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$1',type,
    'fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1': 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).

tff('finite_domain_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ( X = 'fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun$',type,
    'A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun$': $tType ).

tff('declare_A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun$1',type,
    'fmb_A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun$_1': 'A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun$' ).

tff('finite_domain_A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun$',axiom,
    ! [X: 'A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun$'] : ( X = 'fmb_A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun$_1' ) ).

tff('declare_B_ell2_b_ell2_cblinfun_bool_fun$',type,
    'B_ell2_b_ell2_cblinfun_bool_fun$': $tType ).

tff('declare_B_ell2_b_ell2_cblinfun_bool_fun$1',type,
    'fmb_B_ell2_b_ell2_cblinfun_bool_fun$_1': 'B_ell2_b_ell2_cblinfun_bool_fun$' ).

tff('finite_domain_B_ell2_b_ell2_cblinfun_bool_fun$',axiom,
    ! [X: 'B_ell2_b_ell2_cblinfun_bool_fun$'] : ( X = 'fmb_B_ell2_b_ell2_cblinfun_bool_fun$_1' ) ).

tff('declare_B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',type,
    'B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$': $tType ).

tff('declare_B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$1',type,
    'fmb_B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1': 'B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).

tff('finite_domain_B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',axiom,
    ! [X: 'B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ( X = 'fmb_B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$',type,
    'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$1',type,
    'fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1': 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',type,
    'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$1',type,
    'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1': 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$',type,
    'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$': $tType ).

tff('declare_C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$1',type,
    'fmb_C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1': 'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ).

tff('finite_domain_C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'] : ( X = 'fmb_C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1' ) ).

tff('declare_B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$',type,
    'B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1': 'B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun$',type,
    'B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun$': $tType ).

tff('declare_B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun$1',type,
    'fmb_B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun$_1': 'B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun$' ).

tff('finite_domain_B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun$',axiom,
    ! [X: 'B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun$'] : ( X = 'fmb_B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun$_1' ) ).

tff('declare_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$',type,
    'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$': $tType ).

tff('declare_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$1',type,
    'fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1': 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ).

tff('finite_domain_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'] : ( X = 'fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',type,
    'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$1',type,
    'fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1': 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$',type,
    'C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$': $tType ).

tff('declare_C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$1',type,
    'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$_1': 'C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$' ).

tff('finite_domain_C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$',axiom,
    ! [X: 'C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$'] : ( X = 'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$_1' ) ).

tff('declare_C_ell2_c_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$',type,
    'C_ell2_c_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$': $tType ).

tff('declare_C_ell2_c_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$1',type,
    'fmb_C_ell2_c_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$_1': 'C_ell2_c_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$' ).

tff('finite_domain_C_ell2_c_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_ell2_c_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$'] : ( X = 'fmb_C_ell2_c_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',type,
    'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$': $tType ).

tff('declare_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$1',type,
    'fmb_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1': 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).

tff('finite_domain_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ( X = 'fmb_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',type,
    'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$1',type,
    'fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1': 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$',type,
    'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1': 'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_B_ell2$',type,
    'B_ell2$': $tType ).

tff('declare_B_ell2$1',type,
    'fmb_B_ell2$_1': 'B_ell2$' ).

tff('finite_domain_B_ell2$',axiom,
    ! [X: 'B_ell2$'] : ( X = 'fmb_B_ell2$_1' ) ).

tff('declare_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',type,
    'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1': 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',type,
    'C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$1',type,
    'fmb_C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1': 'C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$',type,
    'B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$1',type,
    'fmb_B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1': 'B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$',type,
    'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$': $tType ).

tff('declare_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$1',type,
    'fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$_1': 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$' ).

tff('finite_domain_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$',axiom,
    ! [X: 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$'] : ( X = 'fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$_1' ) ).

tff('declare_A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',type,
    'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$1',type,
    'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1': 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$',type,
    'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1': 'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',type,
    'A_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1': 'A_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun$',type,
    'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun$': $tType ).

tff('declare_C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun$1',type,
    'fmb_C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun$_1': 'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun$' ).

tff('finite_domain_C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun$',axiom,
    ! [X: 'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun$'] : ( X = 'fmb_C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun$_1' ) ).

tff('declare_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',type,
    'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$': $tType ).

tff('declare_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$1',type,
    'fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1': 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).

tff('finite_domain_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',axiom,
    ! [X: 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ( X = 'fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$',type,
    'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$1',type,
    'fmb_A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1': 'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ) ).

tff('declare_A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',type,
    'A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff('declare_A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$1',type,
    'fmb_A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1': 'A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('finite_domain_A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',axiom,
    ! [X: 'A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ( X = 'fmb_A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ) ).

tff('declare_t3$',type,
    't3$': 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$' ).

tff('t3$_definition',axiom,
    't3$' = 'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$_1' ).

tff('declare_top$m',type,
    'top$m': 'C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set$' ).

tff('top$m_definition',axiom,
    'top$m' = 'fmb_C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set$_1' ).

tff('declare_id$a',type,
    'id$a': 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$' ).

tff('id$a_definition',axiom,
    'id$a' = 'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$_1' ).

tff('declare_default$',type,
    'default$': 'B$' ).

tff('default$_definition',axiom,
    'default$' = 'fmb_B$_1' ).

tff('declare_assoc$b',type,
    'assoc$b': 'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$' ).

tff('assoc$b_definition',axiom,
    'assoc$b' = 'fmb_A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$_1' ).

tff('declare_id$c',type,
    'id$c': 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('id$c_definition',axiom,
    'id$c' = 'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_swap$j',type,
    'swap$j': 'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('swap$j_definition',axiom,
    'swap$j' = 'fmb_C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_assoc$d',type,
    'assoc$d': 'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_fun$' ).

tff('assoc$d_definition',axiom,
    'assoc$d' = 'fmb_A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_fun$_1' ).

tff('declare_f$',type,
    'f$': 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('f$_definition',axiom,
    'f$' = 'fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_top$f',type,
    'top$f': 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$' ).

tff('top$f_definition',axiom,
    'top$f' = 'fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$_1' ).

tff('declare_swap$d',type,
    'swap$d': 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$' ).

tff('swap$d_definition',axiom,
    'swap$d' = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$_1' ).

tff('declare_top$n',type,
    'top$n': 'C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set$' ).

tff('top$n_definition',axiom,
    'top$n' = 'fmb_C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set$_1' ).

tff('declare_assoc$i',type,
    'assoc$i': 'A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_fun$' ).

tff('assoc$i_definition',axiom,
    'assoc$i' = 'fmb_A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_swap$f',type,
    'swap$f': 'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('swap$f_definition',axiom,
    'swap$f' = 'fmb_A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_swap$c',type,
    'swap$c': 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_fun$' ).

tff('swap$c_definition',axiom,
    'swap$c' = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_fun$_1' ).

tff('declare_assoc$g',type,
    'assoc$g': 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('assoc$g_definition',axiom,
    'assoc$g' = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_top$d',type,
    'top$d': 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$' ).

tff('top$d_definition',axiom,
    'top$d' = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$_1' ).

tff('declare_assoc$a',type,
    'assoc$a': 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('assoc$a_definition',axiom,
    'assoc$a' = 'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_g$',type,
    'g$': 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('g$_definition',axiom,
    'g$' = 'fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_top$r',type,
    'top$r': 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun$' ).

tff('top$r_definition',axiom,
    'top$r' = 'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun$_1' ).

tff('declare_assoc$',type,
    'assoc$': 'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_a_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_fun$' ).

tff('assoc$_definition',axiom,
    'assoc$' = 'fmb_A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_a_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_fun$_1' ).

tff('declare_top$q',type,
    'top$q': 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_bool_fun$' ).

tff('top$q_definition',axiom,
    'top$q' = 'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_bool_fun$_1' ).

tff('declare_id$g',type,
    'id$g': 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ).

tff('id$g_definition',axiom,
    'id$g' = 'fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1' ).

tff('declare_id$d',type,
    'id$d': 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('id$d_definition',axiom,
    'id$d' = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_aG$',type,
    'aG$': 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$' ).

tff('aG$_definition',axiom,
    'aG$' = 'fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$_1' ).

tff('declare_id$b',type,
    'id$b': 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('id$b_definition',axiom,
    'id$b' = 'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_top$a',type,
    'top$a': 'B_ell2_b_ell2_cblinfun_set$' ).

tff('top$a_definition',axiom,
    'top$a' = 'fmb_B_ell2_b_ell2_cblinfun_set$_1' ).

tff('declare_top$e',type,
    'top$e': 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set$' ).

tff('top$e_definition',axiom,
    'top$e' = 'fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set$_1' ).

tff('declare_swap$k',type,
    'swap$k': 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_fun$' ).

tff('swap$k_definition',axiom,
    'swap$k' = 'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_fun$_1' ).

tff('declare_top$p',type,
    'top$p': 'C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$' ).

tff('top$p_definition',axiom,
    'top$p' = 'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$_1' ).

tff('declare_assoc$h',type,
    'assoc$h': 'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_fun$' ).

tff('assoc$h_definition',axiom,
    'assoc$h' = 'fmb_A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_top$c',type,
    'top$c': 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$' ).

tff('top$c_definition',axiom,
    'top$c' = 'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$_1' ).

tff('declare_swap$g',type,
    'swap$g': 'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('swap$g_definition',axiom,
    'swap$g' = 'fmb_A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_id$i',type,
    'id$i': 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('id$i_definition',axiom,
    'id$i' = 'fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_top$l',type,
    'top$l': 'A_ell2_a_ell2_cblinfun_set$' ).

tff('top$l_definition',axiom,
    'top$l' = 'fmb_A_ell2_a_ell2_cblinfun_set$_1' ).

tff('declare_id$f',type,
    'id$f': 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('id$f_definition',axiom,
    'id$f' = 'fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_top$g',type,
    'top$g': 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$' ).

tff('top$g_definition',axiom,
    'top$g' = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$_1' ).

tff('declare_default$b',type,
    'default$b': 'C$' ).

tff('default$b_definition',axiom,
    'default$b' = 'fmb_C$_1' ).

tff('declare_swap$i',type,
    'swap$i': 'C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$' ).

tff('swap$i_definition',axiom,
    'swap$i' = 'fmb_C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1' ).

tff('declare_top$s',type,
    'top$s': 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_bool_fun$' ).

tff('top$s_definition',axiom,
    'top$s' = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_bool_fun$_1' ).

tff('declare_top$i',type,
    'top$i': 'C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$' ).

tff('top$i_definition',axiom,
    'top$i' = 'fmb_C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$_1' ).

tff('declare_swap$',type,
    'swap$': 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$' ).

tff('swap$_definition',axiom,
    'swap$' = 'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$_1' ).

tff('declare_assoc$e',type,
    'assoc$e': 'A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_a_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_fun$' ).

tff('assoc$e_definition',axiom,
    'assoc$e' = 'fmb_A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_a_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_fun$_1' ).

tff('declare_id$h',type,
    'id$h': 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).

tff('id$h_definition',axiom,
    'id$h' = 'fmb_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' ).

tff('declare_assoc$n',type,
    'assoc$n': 'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('assoc$n_definition',axiom,
    'assoc$n' = 'fmb_C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_assoc$k',type,
    'assoc$k': 'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_a_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_fun$' ).

tff('assoc$k_definition',axiom,
    'assoc$k' = 'fmb_A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_a_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_aF$',type,
    'aF$': 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$' ).

tff('aF$_definition',axiom,
    'aF$' = 'fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$_1' ).

tff('declare_default$c',type,
    'default$c': 'A_c_prod$' ).

tff('default$c_definition',axiom,
    'default$c' = 'fmb_A_c_prod$_1' ).

tff('declare_t2$',type,
    't2$': 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$' ).

tff('t2$_definition',axiom,
    't2$' = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$_1' ).

tff('declare_id$e',type,
    'id$e': 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('id$e_definition',axiom,
    'id$e' = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_top$b',type,
    'top$b': 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$' ).

tff('top$b_definition',axiom,
    'top$b' = 'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$_1' ).

tff('declare_swap$e',type,
    'swap$e': 'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('swap$e_definition',axiom,
    'swap$e' = 'fmb_A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_top$j',type,
    'top$j': 'A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$' ).

tff('top$j_definition',axiom,
    'top$j' = 'fmb_A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$_1' ).

tff('declare_top$h',type,
    'top$h': 'C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$' ).

tff('top$h_definition',axiom,
    'top$h' = 'fmb_C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$_1' ).

tff('declare_assoc$o',type,
    'assoc$o': 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('assoc$o_definition',axiom,
    'assoc$o' = 'fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_swap$b',type,
    'swap$b': 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun$' ).

tff('swap$b_definition',axiom,
    'swap$b' = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun$_1' ).

tff('declare_swap$a',type,
    'swap$a': 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_fun$' ).

tff('swap$a_definition',axiom,
    'swap$a' = 'fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_fun$_1' ).

tff('declare_assoc$j',type,
    'assoc$j': 'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_fun$' ).

tff('assoc$j_definition',axiom,
    'assoc$j' = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_assoc$m',type,
    'assoc$m': 'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_a_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_fun$' ).

tff('assoc$m_definition',axiom,
    'assoc$m' = 'fmb_A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_a_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_top$t',type,
    'top$t': 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun$' ).

tff('top$t_definition',axiom,
    'top$t' = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun$_1' ).

tff('declare_default$a',type,
    'default$a': 'A$' ).

tff('default$a_definition',axiom,
    'default$a' = 'fmb_A$_1' ).

tff('declare_top$u',type,
    'top$u': 'B_ell2_b_ell2_cblinfun_bool_fun$' ).

tff('top$u_definition',axiom,
    'top$u' = 'fmb_B_ell2_b_ell2_cblinfun_bool_fun$_1' ).

tff('declare_swap$h',type,
    'swap$h': 'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('swap$h_definition',axiom,
    'swap$h' = 'fmb_C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_top$',type,
    'top$': 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$' ).

tff('top$_definition',axiom,
    'top$' = 'fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$_1' ).

tff('declare_t1$',type,
    't1$': 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$' ).

tff('t1$_definition',axiom,
    't1$' = 'fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$_1' ).

tff('declare_top$k',type,
    'top$k': 'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$' ).

tff('top$k_definition',axiom,
    'top$k' = 'fmb_A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$_1' ).

tff('declare_assoc$f',type,
    'assoc$f': 'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('assoc$f_definition',axiom,
    'assoc$f' = 'fmb_A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_id$',type,
    'id$': 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).

tff('id$_definition',axiom,
    'id$' = 'fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' ).

tff('declare_assoc$l',type,
    'assoc$l': 'A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$' ).

tff('assoc$l_definition',axiom,
    'assoc$l' = 'fmb_A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_top$o',type,
    'top$o': 'C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$' ).

tff('top$o_definition',axiom,
    'top$o' = 'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$_1' ).

tff('declare_assoc$c',type,
    'assoc$c': 'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$' ).

tff('assoc$c_definition',axiom,
    'assoc$c' = 'fmb_A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$_1' ).

tff('declare_i$',type,
    'i$': 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ).

tff('i$_definition',axiom,
    'i$' = 'fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1' ).

tff('declare_comp$dd',type,
    'comp$dd': ( 'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_comp$dd',axiom,
    'comp$dd'('fmb_B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$an',type,
    'register_pair$an': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$an',axiom,
    'register_pair$an'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$h',type,
    'comp$h': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$h',axiom,
    'comp$h'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_inv_into$aq',type,
    'inv_into$aq': ( 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$' * 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_inv_into$aq',axiom,
    'inv_into$aq'('fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$_1','fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_A_ell2_a_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$v',type,
    'comp$v': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$v',axiom,
    'comp$v'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$ae',type,
    'comp$ae': ( 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$ae',axiom,
    'comp$ae'('fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$ab',type,
    'fun_app$ab': ( 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun$' ) > 'A_ell2_a_ell2_cblinfun$' ).

tff('function_fun_app$ab',axiom,
    'fun_app$ab'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun$_1') = 'fmb_A_ell2_a_ell2_cblinfun$_1' ).

tff('declare_register_tensor$am',type,
    'register_tensor$am': ( 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'C_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_c_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$am',axiom,
    'register_tensor$am'('fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_c_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$az',type,
    'register_tensor$az': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$az',axiom,
    'register_tensor$az'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$ad',type,
    'register_tensor$ad': ( 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'C_b_complement_domain_a_b_complement_domain_prod_ell2_c_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$ad',axiom,
    'register_tensor$ad'('fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_b_complement_domain_a_b_complement_domain_prod_ell2_c_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$',type,
    'comp$': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ) > 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$',axiom,
    'comp$'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') = 'fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$dp',type,
    'comp$dp': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ).

tff('function_comp$dp',axiom,
    'comp$dp'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$t',type,
    'register_tensor$t': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$t',axiom,
    'register_tensor$t'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$c',type,
    'register_tensor$c': ( 'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$c',axiom,
    'register_tensor$c'('fmb_B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$dn',type,
    'comp$dn': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$dn',axiom,
    'comp$dn'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$bf',type,
    'register_tensor$bf': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$bf',axiom,
    'register_tensor$bf'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$cp',type,
    'comp$cp': ( 'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun$' ) > 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$cp',axiom,
    'comp$cp'('fmb_A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$av',type,
    'fun_app$av': ( 'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun$' ) > 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$' ).

tff('function_fun_app$av',axiom,
    'fun_app$av'('fmb_C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun$_1') = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$_1' ).

tff('declare_comp$q',type,
    'comp$q': ( 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$q',axiom,
    'comp$q'('fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$w',type,
    'comp$w': ( 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$w',axiom,
    'comp$w'('fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_inv_into$m',type,
    'inv_into$m': ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_inv_into$m',axiom,
    'inv_into$m'('fmb_B_ell2_b_ell2_cblinfun_set$_1','fmb_B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_collect$b',type,
    'collect$b': 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_bool_fun$' > 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$' ).

tff('function_collect$b',axiom,
    'collect$b'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_bool_fun$_1') = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$_1' ).

tff('declare_fun_app$i',type,
    'fun_app$i': ( 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$' ) > 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$' ).

tff('function_fun_app$i',axiom,
    'fun_app$i'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$_1') = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$_1' ).

tff('declare_register_tensor$w',type,
    'register_tensor$w': ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$' ) > 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$w',axiom,
    'register_tensor$w'('fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$f',type,
    'register_tensor$f': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$f',axiom,
    'register_tensor$f'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_tensor_op$x',type,
    'tensor_op$x': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$' * 'A_ell2_a_ell2_cblinfun$' ) > 'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun$' ).

tff('function_tensor_op$x',axiom,
    'tensor_op$x'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$_1','fmb_A_ell2_a_ell2_cblinfun$_1') = 'fmb_C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun$_1' ).

tff('declare_register_tensor$aw',type,
    'register_tensor$aw': ( 'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ) > 'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$aw',axiom,
    'register_tensor$aw'('fmb_B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') = 'fmb_B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_tensor_op$k',type,
    'tensor_op$k': ( 'C_ell2_c_ell2_cblinfun$' * 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun$' ) > 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$' ).

tff('function_tensor_op$k',axiom,
    'tensor_op$k'('fmb_C_ell2_c_ell2_cblinfun$_1','fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun$_1') = 'fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$_1' ).

tff('declare_register_tensor$x',type,
    'register_tensor$x': ( 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ) > 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$x',axiom,
    'register_tensor$x'('fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') = 'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_butterfly$a',type,
    'butterfly$a': ( 'A_ell2$' * 'A_ell2$' ) > 'A_ell2_a_ell2_cblinfun$' ).

tff('function_butterfly$a',axiom,
    'butterfly$a'('fmb_A_ell2$_1','fmb_A_ell2$_1') = 'fmb_A_ell2_a_ell2_cblinfun$_1' ).

tff('declare_register_tensor$z',type,
    'register_tensor$z': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ) > 'C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$z',axiom,
    'register_tensor$z'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') = 'fmb_C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$z',type,
    'comp$z': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ) > 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$z',axiom,
    'comp$z'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$e',type,
    'fun_app$e': ( 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$' ) > 'B_ell2_b_ell2_cblinfun$' ).

tff('function_fun_app$e',axiom,
    'fun_app$e'('fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$_1') = 'fmb_B_ell2_b_ell2_cblinfun$_1' ).

tff('declare_inv_into$o',type,
    'inv_into$o': ( 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_inv_into$o',axiom,
    'inv_into$o'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_complement$f',type,
    'complement$f': 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_complement$f',axiom,
    'complement$f'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$bu',type,
    'comp$bu': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_comp$bu',axiom,
    'comp$bu'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$bj',type,
    'comp$bj': ( 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_comp$bj',axiom,
    'comp$bj'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$g',type,
    'register_pair$g': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$g',axiom,
    'register_pair$g'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_complement$l',type,
    'complement$l': 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > 'B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_complement$l',axiom,
    'complement$l'('fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$e',type,
    'register_tensor$e': ( 'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$e',axiom,
    'register_tensor$e'('fmb_B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$ah',type,
    'register_tensor$ah': ( 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$ah',axiom,
    'register_tensor$ah'('fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$ae',type,
    'fun_app$ae': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$' ) > 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$' ).

tff('function_fun_app$ae',axiom,
    'fun_app$ae'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$_1') = 'fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$_1' ).

tff('declare_complement$o',type,
    'complement$o': 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > 'A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).

tff('function_complement$o',axiom,
    'complement$o'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$am',type,
    'register_pair$am': ( 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$am',axiom,
    'register_pair$am'('fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$m',type,
    'register_tensor$m': ( 'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$m',axiom,
    'register_tensor$m'('fmb_B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$ax',type,
    'comp$ax': ( 'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_fun$' ) > 'A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$ax',axiom,
    'comp$ax'('fmb_A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$dq',type,
    'comp$dq': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_comp$dq',axiom,
    'comp$dq'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$cb',type,
    'comp$cb': ( 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$cb',axiom,
    'comp$cb'('fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$y',type,
    'fun_app$y': ( 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' * 'A_c_prod_ell2_a_c_prod_ell2_cblinfun$' ) > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun$' ).

tff('function_fun_app$y',axiom,
    'fun_app$y'('fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1','fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun$_1') = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun$_1' ).

tff('declare_comp$dh',type,
    'comp$dh': ( 'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' * 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_comp$dh',axiom,
    'comp$dh'('fmb_B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1','fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$av',type,
    'register_tensor$av': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$av',axiom,
    'register_tensor$av'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$c',type,
    'comp$c': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ) > 'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$c',axiom,
    'comp$c'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') = 'fmb_C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$aw',type,
    'fun_app$aw': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$' ) > 'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun$' ).

tff('function_fun_app$aw',axiom,
    'fun_app$aw'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$_1') = 'fmb_A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun$_1' ).

tff('declare_register_tensor$ac',type,
    'register_tensor$ac': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_b_complement_domain_c_b_complement_domain_prod_ell2_a_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$ac',axiom,
    'register_tensor$ac'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_b_complement_domain_c_b_complement_domain_prod_ell2_a_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$b',type,
    'comp$b': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' * 'B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_comp$b',axiom,
    'comp$b'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1','fmb_B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_collect$c',type,
    'collect$c': 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun$' > 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$' ).

tff('function_collect$c',axiom,
    'collect$c'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun$_1') = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$_1' ).

tff('declare_comp$cg',type,
    'comp$cg': ( 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$cg',axiom,
    'comp$cg'('fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$u',type,
    'register_pair$u': ( 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).

tff('function_register_pair$u',axiom,
    'register_pair$u'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$b',type,
    'register_pair$b': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$b',axiom,
    'register_pair$b'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$cr',type,
    'comp$cr': ( 'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$' ) > 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$cr',axiom,
    'comp$cr'('fmb_C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$at',type,
    'comp$at': ( 'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_a_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_fun$' ) > 'A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$at',axiom,
    'comp$at'('fmb_A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_a_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_fun$_1') = 'fmb_A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_tensor_op$d',type,
    'tensor_op$d': ( 'A_ell2_a_ell2_cblinfun$' * 'A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun$' ) > 'A_a_a_complement_domain_prod_ell2_a_a_a_complement_domain_prod_ell2_cblinfun$' ).

tff('function_tensor_op$d',axiom,
    'tensor_op$d'('fmb_A_ell2_a_ell2_cblinfun$_1','fmb_A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun$_1') = 'fmb_A_a_a_complement_domain_prod_ell2_a_a_a_complement_domain_prod_ell2_cblinfun$_1' ).

tff('declare_tensor_op$t',type,
    'tensor_op$t': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$' * 'B_ell2_b_ell2_cblinfun$' ) > 'A_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun$' ).

tff('function_tensor_op$t',axiom,
    'tensor_op$t'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$_1','fmb_B_ell2_b_ell2_cblinfun$_1') = 'fmb_A_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun$_1' ).

tff('declare_fun_app$am',type,
    'fun_app$am': ( 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$' ) > 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$' ).

tff('function_fun_app$am',axiom,
    'fun_app$am'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$_1') = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$_1' ).

tff('declare_comp$j',type,
    'comp$j': ( 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$j',axiom,
    'comp$j'('fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$bw',type,
    'comp$bw': ( 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) > 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_comp$bw',axiom,
    'comp$bw'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$t',type,
    'register_pair$t': ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).

tff('function_register_pair$t',axiom,
    'register_pair$t'('fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' ).

tff('declare_comp$ce',type,
    'comp$ce': ( 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$' ) > 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$ce',axiom,
    'comp$ce'('fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1') = 'fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$ba',type,
    'register_pair$ba': ( 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).

tff('function_register_pair$ba',axiom,
    'register_pair$ba'('fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' ).

tff('declare_ket$',type,
    'ket$': 'B$' > 'B_ell2$' ).

tff('function_ket$',axiom,
    'ket$'('fmb_B$_1') = 'fmb_B_ell2$_1' ).

tff('declare_register_pair$be',type,
    'register_pair$be': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$be',axiom,
    'register_pair$be'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_inv_into$g',type,
    'inv_into$g': ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_inv_into$g',axiom,
    'inv_into$g'('fmb_B_ell2_b_ell2_cblinfun_set$_1','fmb_B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$df',type,
    'comp$df': ( 'A_ell2_a_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' * 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_comp$df',axiom,
    'comp$df'('fmb_A_ell2_a_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1','fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_complement$q',type,
    'complement$q': 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > 'C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).

tff('function_complement$q',axiom,
    'complement$q'('fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$bj',type,
    'register_tensor$bj': ( 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ) > 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$bj',axiom,
    'register_tensor$bj'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$ct',type,
    'comp$ct': ( 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$ct',axiom,
    'comp$ct'('fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$e',type,
    'comp$e': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$e',axiom,
    'comp$e'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_tensor_op$p',type,
    'tensor_op$p': ( 'A_ell2_a_ell2_cblinfun$' * 'A_ell2_a_ell2_cblinfun$' ) > 'A_a_prod_ell2_a_a_prod_ell2_cblinfun$' ).

tff('function_tensor_op$p',axiom,
    'tensor_op$p'('fmb_A_ell2_a_ell2_cblinfun$_1','fmb_A_ell2_a_ell2_cblinfun$_1') = 'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun$_1' ).

tff('declare_fun_app$c',type,
    'fun_app$c': ( 'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun$' ) > 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$' ).

tff('function_fun_app$c',axiom,
    'fun_app$c'('fmb_B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun$_1') = 'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$_1' ).

tff('declare_comp$aw',type,
    'comp$aw': ( 'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_fun$' ) > 'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$aw',axiom,
    'comp$aw'('fmb_A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_complement$i',type,
    'complement$i': 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > 'A_b_complement_domain_b_complement_domain_ell2_a_b_complement_domain_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_complement$i',axiom,
    'complement$i'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_b_complement_domain_b_complement_domain_ell2_a_b_complement_domain_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$d',type,
    'register_pair$d': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$d',axiom,
    'register_pair$d'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$z',type,
    'fun_app$z': ( 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' * 'A_a_prod_ell2_a_a_prod_ell2_cblinfun$' ) > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun$' ).

tff('function_fun_app$z',axiom,
    'fun_app$z'('fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1','fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun$_1') = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun$_1' ).

tff('declare_comp$da',type,
    'comp$da': ( 'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' * 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_comp$da',axiom,
    'comp$da'('fmb_B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$av',type,
    'register_pair$av': ( 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_a_a_complement_domain_prod_ell2_a_a_a_complement_domain_prod_ell2_cblinfun$' ) > 'A_ell2_a_ell2_cblinfun$' ).

tff('function_register_pair$av',axiom,
    'register_pair$av'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_a_a_complement_domain_prod_ell2_a_a_a_complement_domain_prod_ell2_cblinfun$_1') = 'fmb_A_ell2_a_ell2_cblinfun$_1' ).

tff('declare_comp$ag',type,
    'comp$ag': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_comp$ag',axiom,
    'comp$ag'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$ak',type,
    'register_pair$ak': ( 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$ak',axiom,
    'register_pair$ak'('fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$cx',type,
    'comp$cx': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$cx',axiom,
    'comp$cx'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$k',type,
    'comp$k': ( 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$k',axiom,
    'comp$k'('fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_inv_into$ah',type,
    'inv_into$ah': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_inv_into$ah',axiom,
    'inv_into$ah'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$g',type,
    'register_tensor$g': ( 'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$g',axiom,
    'register_tensor$g'('fmb_B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_tensor_op$q',type,
    'tensor_op$q': ( 'C_ell2_c_ell2_cblinfun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$' ) > 'C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$' ).

tff('function_tensor_op$q',axiom,
    'tensor_op$q'('fmb_C_ell2_c_ell2_cblinfun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$_1') = 'fmb_C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$_1' ).

tff('declare_tensor_op$s',type,
    'tensor_op$s': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$' * 'C_ell2_c_ell2_cblinfun$' ) > 'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun$' ).

tff('function_tensor_op$s',axiom,
    'tensor_op$s'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$_1','fmb_C_ell2_c_ell2_cblinfun$_1') = 'fmb_C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun$_1' ).

tff('declare_comp$cy',type,
    'comp$cy': ( 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).

tff('function_comp$cy',axiom,
    'comp$cy'('fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' ).

tff('declare_inv_into$z',type,
    'inv_into$z': ( 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).

tff('function_inv_into$z',axiom,
    'inv_into$z'('fmb_A_ell2_a_ell2_cblinfun_set$_1','fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$aq',type,
    'register_pair$aq': ( 'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$aq',axiom,
    'register_pair$aq'('fmb_C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$ao',type,
    'register_tensor$ao': ( 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$ao',axiom,
    'register_tensor$ao'('fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$ch',type,
    'comp$ch': ( 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$ch',axiom,
    'comp$ch'('fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$v',type,
    'register_tensor$v': ( 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ) > 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$v',axiom,
    'register_tensor$v'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$ah',type,
    'fun_app$ah': ( 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun$' ) > 'C_ell2_c_ell2_cblinfun$' ).

tff('function_fun_app$ah',axiom,
    'fun_app$ah'('fmb_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun$_1') = 'fmb_C_ell2_c_ell2_cblinfun$_1' ).

tff('declare_tensor_op$u',type,
    'tensor_op$u': ( 'A_ell2_a_ell2_cblinfun$' * 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun$' ) > 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun$' ).

tff('function_tensor_op$u',axiom,
    'tensor_op$u'('fmb_A_ell2_a_ell2_cblinfun$_1','fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun$_1') = 'fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun$_1' ).

tff('declare_tensor_op$e',type,
    'tensor_op$e': ( 'A_ell2_a_ell2_cblinfun$' * 'A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun$' ) > 'A_a_c_complement_domain_prod_ell2_a_a_c_complement_domain_prod_ell2_cblinfun$' ).

tff('function_tensor_op$e',axiom,
    'tensor_op$e'('fmb_A_ell2_a_ell2_cblinfun$_1','fmb_A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun$_1') = 'fmb_A_a_c_complement_domain_prod_ell2_a_a_c_complement_domain_prod_ell2_cblinfun$_1' ).

tff('declare_comp$bp',type,
    'comp$bp': ( 'A_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('function_comp$bp',axiom,
    'comp$bp'('fmb_A_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$cq',type,
    'comp$cq': ( 'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_fun$' ) > 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$cq',axiom,
    'comp$cq'('fmb_C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_fun$_1') = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$bb',type,
    'register_pair$bb': ( 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$' ) > 'C_ell2_c_ell2_cblinfun$' ).

tff('function_register_pair$bb',axiom,
    'register_pair$bb'('fmb_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$_1') = 'fmb_C_ell2_c_ell2_cblinfun$_1' ).

tff('declare_comp$do',type,
    'comp$do': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ) > 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_comp$do',axiom,
    'comp$do'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') = 'fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_tensor_op$v',type,
    'tensor_op$v': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$' * 'A_ell2_a_ell2_cblinfun$' ) > 'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun$' ).

tff('function_tensor_op$v',axiom,
    'tensor_op$v'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$_1','fmb_A_ell2_a_ell2_cblinfun$_1') = 'fmb_A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun$_1' ).

tff('declare_register_tensor$u',type,
    'register_tensor$u': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$u',axiom,
    'register_tensor$u'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$co',type,
    'comp$co': ( 'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_fun$' ) > 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$co',axiom,
    'comp$co'('fmb_A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_fun$_1') = 'fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$ar',type,
    'fun_app$ar': ( 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun$' ) > 'B_ell2_b_ell2_cblinfun$' ).

tff('function_fun_app$ar',axiom,
    'fun_app$ar'('fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun$_1') = 'fmb_B_ell2_b_ell2_cblinfun$_1' ).

tff('declare_tensor_op$c',type,
    'tensor_op$c': ( 'A_ell2_a_ell2_cblinfun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$' ) > 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$' ).

tff('function_tensor_op$c',axiom,
    'tensor_op$c'('fmb_A_ell2_a_ell2_cblinfun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$_1') = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$_1' ).

tff('declare_register_tensor$p',type,
    'register_tensor$p': ( 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$p',axiom,
    'register_tensor$p'('fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_ket$c',type,
    'ket$c': 'A_c_prod$' > 'A_c_prod_ell2$' ).

tff('function_ket$c',axiom,
    'ket$c'('fmb_A_c_prod$_1') = 'fmb_A_c_prod_ell2$_1' ).

tff('declare_register_pair$at',type,
    'register_pair$at': ( 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'B_b_a_complement_domain_prod_ell2_b_b_a_complement_domain_prod_ell2_cblinfun$' ) > 'A_ell2_a_ell2_cblinfun$' ).

tff('function_register_pair$at',axiom,
    'register_pair$at'('fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_B_b_a_complement_domain_prod_ell2_b_b_a_complement_domain_prod_ell2_cblinfun$_1') = 'fmb_A_ell2_a_ell2_cblinfun$_1' ).

tff('declare_inv_into$c',type,
    'inv_into$c': ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_inv_into$c',axiom,
    'inv_into$c'('fmb_B_ell2_b_ell2_cblinfun_set$_1','fmb_B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$ca',type,
    'comp$ca': ( 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$' ) > 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$ca',axiom,
    'comp$ca'('fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$aw',type,
    'register_pair$aw': ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_a_c_complement_domain_prod_ell2_a_a_c_complement_domain_prod_ell2_cblinfun$' ) > 'C_ell2_c_ell2_cblinfun$' ).

tff('function_register_pair$aw',axiom,
    'register_pair$aw'('fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_A_a_c_complement_domain_prod_ell2_a_a_c_complement_domain_prod_ell2_cblinfun$_1') = 'fmb_C_ell2_c_ell2_cblinfun$_1' ).

tff('declare_inv_into$aj',type,
    'inv_into$aj': ( 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$' * 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_fun$' ) > 'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_inv_into$aj',axiom,
    'inv_into$aj'('fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$_1','fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_fun$_1') = 'fmb_C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$ar',type,
    'comp$ar': ( 'A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$' ) > 'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$ar',axiom,
    'comp$ar'('fmb_A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$l',type,
    'comp$l': ( 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$l',axiom,
    'comp$l'('fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$aj',type,
    'register_pair$aj': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$aj',axiom,
    'register_pair$aj'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$ad',type,
    'comp$ad': ( 'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_comp$ad',axiom,
    'comp$ad'('fmb_B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$r',type,
    'fun_app$r': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$' ) > 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$' ).

tff('function_fun_app$r',axiom,
    'fun_app$r'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$_1') = 'fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$_1' ).

tff('declare_register_tensor$bk',type,
    'register_tensor$bk': ( 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$bk',axiom,
    'register_tensor$bk'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$cd',type,
    'comp$cd': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$cd',axiom,
    'comp$cd'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$i',type,
    'comp$i': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$i',axiom,
    'comp$i'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$k',type,
    'fun_app$k': ( 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$' ) > 'B_ell2_b_ell2_cblinfun$' ).

tff('function_fun_app$k',axiom,
    'fun_app$k'('fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$_1') = 'fmb_B_ell2_b_ell2_cblinfun$_1' ).

tff('declare_fun_app$',type,
    'fun_app$': ( 'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun$' ) > 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$' ).

tff('function_fun_app$',axiom,
    'fun_app$'('fmb_B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun$_1') = 'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$_1' ).

tff('declare_comp$bh',type,
    'comp$bh': ( 'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_comp$bh',axiom,
    'comp$bh'('fmb_B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$x',type,
    'fun_app$x': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun$' ) > 'B_ell2_b_ell2_cblinfun$' ).

tff('function_fun_app$x',axiom,
    'fun_app$x'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun$_1') = 'fmb_B_ell2_b_ell2_cblinfun$_1' ).

tff('declare_fun_app$ap',type,
    'fun_app$ap': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$' ) > 'C_ell2_c_ell2_cblinfun$' ).

tff('function_fun_app$ap',axiom,
    'fun_app$ap'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$_1') = 'fmb_C_ell2_c_ell2_cblinfun$_1' ).

tff('declare_register_tensor$ar',type,
    'register_tensor$ar': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$ar',axiom,
    'register_tensor$ar'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$ap',type,
    'comp$ap': ( 'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$ap',axiom,
    'comp$ap'('fmb_C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$o',type,
    'fun_app$o': ( 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' * 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$' ) > 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$' ).

tff('function_fun_app$o',axiom,
    'fun_app$o'('fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$_1') = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$_1' ).

tff('declare_comp$bc',type,
    'comp$bc': ( 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) > 'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$bc',axiom,
    'comp$bc'('fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$bd',type,
    'comp$bd': ( 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) > 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$bd',axiom,
    'comp$bd'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$cv',type,
    'comp$cv': ( 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) > 'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$cv',axiom,
    'comp$cv'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$aj',type,
    'comp$aj': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$aj',axiom,
    'comp$aj'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$ak',type,
    'fun_app$ak': ( 'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun$' ) > 'A_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun$' ).

tff('function_fun_app$ak',axiom,
    'fun_app$ak'('fmb_C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun$_1') = 'fmb_A_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun$_1' ).

tff('declare_register_tensor$s',type,
    'register_tensor$s': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$s',axiom,
    'register_tensor$s'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$aj',type,
    'register_tensor$aj': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$aj',axiom,
    'register_tensor$aj'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$ba',type,
    'register_tensor$ba': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) > 'C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$ba',axiom,
    'register_tensor$ba'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_inv_into$ag',type,
    'inv_into$ag': ( 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$' * 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) > 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_inv_into$ag',axiom,
    'inv_into$ag'('fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$_1','fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$di',type,
    'comp$di': ( 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).

tff('function_comp$di',axiom,
    'comp$di'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$ao',type,
    'fun_app$ao': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$' ) > 'A_ell2_a_ell2_cblinfun$' ).

tff('function_fun_app$ao',axiom,
    'fun_app$ao'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$_1') = 'fmb_A_ell2_a_ell2_cblinfun$_1' ).

tff('declare_register_tensor$l',type,
    'register_tensor$l': ( 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$l',axiom,
    'register_tensor$l'('fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_inv_into$k',type,
    'inv_into$k': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ) > 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_inv_into$k',axiom,
    'inv_into$k'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') = 'fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$o',type,
    'register_tensor$o': ( 'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$o',axiom,
    'register_tensor$o'('fmb_B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_complement$d',type,
    'complement$d': 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > 'A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_complement$d',axiom,
    'complement$d'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_tensor_op$w',type,
    'tensor_op$w': ( 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$' * 'C_ell2_c_ell2_cblinfun$' ) > 'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun$' ).

tff('function_tensor_op$w',axiom,
    'tensor_op$w'('fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$_1','fmb_C_ell2_c_ell2_cblinfun$_1') = 'fmb_C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun$_1' ).

tff('declare_comp$aq',type,
    'comp$aq': ( 'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$' ) > 'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$aq',axiom,
    'comp$aq'('fmb_A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$_1') = 'fmb_A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$z',type,
    'register_pair$z': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_c_prod_ell2_a_c_prod_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$z',axiom,
    'register_pair$z'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_c_prod_ell2_a_c_prod_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$bm',type,
    'comp$bm': ( 'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$' * 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$' ).

tff('function_comp$bm',axiom,
    'comp$bm'('fmb_A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$_1','fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$as',type,
    'register_tensor$as': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ) > 'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$as',axiom,
    'register_tensor$as'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') = 'fmb_C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$aa',type,
    'register_pair$aa': ( 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_c_prod_b_complement_domain_c_prod_ell2_a_c_prod_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$aa',axiom,
    'register_pair$aa'('fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_b_complement_domain_c_prod_ell2_a_c_prod_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_collect$',type,
    'collect$': 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_bool_fun$' > 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$' ).

tff('function_collect$',axiom,
    'collect$'('fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_bool_fun$_1') = 'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$_1' ).

tff('declare_comp$bv',type,
    'comp$bv': ( 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).

tff('function_comp$bv',axiom,
    'comp$bv'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$',type,
    'register_tensor$': ( 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$',axiom,
    'register_tensor$'('fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$au',type,
    'register_pair$au': ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_b_c_complement_domain_prod_ell2_b_b_c_complement_domain_prod_ell2_cblinfun$' ) > 'C_ell2_c_ell2_cblinfun$' ).

tff('function_register_pair$au',axiom,
    'register_pair$au'('fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_B_b_c_complement_domain_prod_ell2_b_b_c_complement_domain_prod_ell2_cblinfun$_1') = 'fmb_C_ell2_c_ell2_cblinfun$_1' ).

tff('declare_register_tensor$bl',type,
    'register_tensor$bl': ( 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$' ) > 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$bl',axiom,
    'register_tensor$bl'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_complement$m',type,
    'complement$m': 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > 'B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).

tff('function_complement$m',axiom,
    'complement$m'('fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' ).

tff('declare_inv_into$i',type,
    'inv_into$i': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ).

tff('function_inv_into$i',axiom,
    'inv_into$i'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$ad',type,
    'fun_app$ad': ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun$' ) > 'C_ell2_c_ell2_cblinfun$' ).

tff('function_fun_app$ad',axiom,
    'fun_app$ad'('fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun$_1') = 'fmb_C_ell2_c_ell2_cblinfun$_1' ).

tff('declare_register_pair$w',type,
    'register_pair$w': ( 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).

tff('function_register_pair$w',axiom,
    'register_pair$w'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' ).

tff('declare_comp$bq',type,
    'comp$bq': ( 'B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_comp$bq',axiom,
    'comp$bq'('fmb_B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$ae',type,
    'register_pair$ae': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$ae',axiom,
    'register_pair$ae'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$af',type,
    'register_tensor$af': ( 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_c_prod_a_prod_ell2_a_c_prod_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$af',axiom,
    'register_tensor$af'('fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_a_prod_ell2_a_c_prod_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$an',type,
    'register_tensor$an': ( 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_c_prod_a_c_prod_prod_ell2_a_c_prod_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$an',axiom,
    'register_tensor$an'('fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_a_c_prod_prod_ell2_a_c_prod_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$ah',type,
    'comp$ah': ( 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$ah',axiom,
    'comp$ah'('fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$br',type,
    'comp$br': ( 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).

tff('function_comp$br',axiom,
    'comp$br'('fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$p',type,
    'register_pair$p': ( 'A_b_complement_domain_b_complement_domain_ell2_a_b_complement_domain_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$p',axiom,
    'register_pair$p'('fmb_A_b_complement_domain_b_complement_domain_ell2_a_b_complement_domain_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$n',type,
    'comp$n': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$n',axiom,
    'comp$n'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_inv_into$an',type,
    'inv_into$an': ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_inv_into$an',axiom,
    'inv_into$an'('fmb_B_ell2_b_ell2_cblinfun_set$_1','fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$d',type,
    'comp$d': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$d',axiom,
    'comp$d'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$t',type,
    'comp$t': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$t',axiom,
    'comp$t'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$az',type,
    'fun_app$az': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$' ) > 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$' ).

tff('function_fun_app$az',axiom,
    'fun_app$az'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$_1') = 'fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$_1' ).

tff('declare_comp$bg',type,
    'comp$bg': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$bg',axiom,
    'comp$bg'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$r',type,
    'register_tensor$r': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$r',axiom,
    'register_tensor$r'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$cw',type,
    'comp$cw': ( 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$' ) > 'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$cw',axiom,
    'comp$cw'('fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1') = 'fmb_C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$bd',type,
    'register_tensor$bd': ( 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ) > 'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$bd',axiom,
    'register_tensor$bd'('fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') = 'fmb_B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$x',type,
    'comp$x': ( 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$x',axiom,
    'comp$x'('fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$ay',type,
    'fun_app$ay': ( 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_fun$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$' ) > 'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun$' ).

tff('function_fun_app$ay',axiom,
    'fun_app$ay'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_fun$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$_1') = 'fmb_C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun$_1' ).

tff('declare_register_tensor$b',type,
    'register_tensor$b': ( 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$b',axiom,
    'register_tensor$b'('fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_inv_into$q',type,
    'inv_into$q': ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) > 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_inv_into$q',axiom,
    'inv_into$q'('fmb_B_ell2_b_ell2_cblinfun_set$_1','fmb_B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$y',type,
    'register_pair$y': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ) > 'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ).

tff('function_register_pair$y',axiom,
    'register_pair$y'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') = 'fmb_C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1' ).

tff('declare_comp$bl',type,
    'comp$bl': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_comp$bl',axiom,
    'comp$bl'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$ac',type,
    'fun_app$ac': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$' ) > 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$' ).

tff('function_fun_app$ac',axiom,
    'fun_app$ac'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$_1') = 'fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$_1' ).

tff('declare_register_tensor$bi',type,
    'register_tensor$bi': ( 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$bi',axiom,
    'register_tensor$bi'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$aa',type,
    'comp$aa': ( 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$aa',axiom,
    'comp$aa'('fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_tensor_op$',type,
    'tensor_op$': ( 'B_ell2_b_ell2_cblinfun$' * 'B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun$' ) > 'B_b_b_complement_domain_prod_ell2_b_b_b_complement_domain_prod_ell2_cblinfun$' ).

tff('function_tensor_op$',axiom,
    'tensor_op$'('fmb_B_ell2_b_ell2_cblinfun$_1','fmb_B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun$_1') = 'fmb_B_b_b_complement_domain_prod_ell2_b_b_b_complement_domain_prod_ell2_cblinfun$_1' ).

tff('declare_comp$bi',type,
    'comp$bi': ( 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) > 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_comp$bi',axiom,
    'comp$bi'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$bd',type,
    'register_pair$bd': ( 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$bd',axiom,
    'register_pair$bd'('fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_complement$g',type,
    'complement$g': 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' > 'A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_complement$g',axiom,
    'complement$g'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$de',type,
    'comp$de': ( 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).

tff('function_comp$de',axiom,
    'comp$de'('fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' ).

tff('declare_comp$ab',type,
    'comp$ab': ( 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$ab',axiom,
    'comp$ab'('fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$ag',type,
    'register_pair$ag': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$ag',axiom,
    'register_pair$ag'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_inv_into$ab',type,
    'inv_into$ab': ( 'C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set$' * 'C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ) > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$' ).

tff('function_inv_into$ab',axiom,
    'inv_into$ab'('fmb_C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set$_1','fmb_C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1') = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$x',type,
    'register_pair$x': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$x',axiom,
    'register_pair$x'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_inv_into$f',type,
    'inv_into$f': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_inv_into$f',axiom,
    'inv_into$f'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_inv_into$y',type,
    'inv_into$y': ( 'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$' * 'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ) > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_inv_into$y',axiom,
    'inv_into$y'('fmb_A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$_1','fmb_A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1') = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_tensor_op$n',type,
    'tensor_op$n': ( 'B_ell2_b_ell2_cblinfun$' * 'B_ell2_b_ell2_cblinfun$' ) > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun$' ).

tff('function_tensor_op$n',axiom,
    'tensor_op$n'('fmb_B_ell2_b_ell2_cblinfun$_1','fmb_B_ell2_b_ell2_cblinfun$_1') = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun$_1' ).

tff('declare_fun_app$f',type,
    'fun_app$f': ( 'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun$' ) > 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$' ).

tff('function_fun_app$f',axiom,
    'fun_app$f'('fmb_B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun$_1') = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$_1' ).

tff('declare_comp$dc',type,
    'comp$dc': ( 'A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_comp$dc',axiom,
    'comp$dc'('fmb_A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_complement$c',type,
    'complement$c': 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > 'A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_complement$c',axiom,
    'complement$c'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$as',type,
    'fun_app$as': ( 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$' ) > 'A_ell2_a_ell2_cblinfun$' ).

tff('function_fun_app$as',axiom,
    'fun_app$as'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$_1') = 'fmb_A_ell2_a_ell2_cblinfun$_1' ).

tff('declare_comp$af',type,
    'comp$af': ( 'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_comp$af',axiom,
    'comp$af'('fmb_B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$ap',type,
    'register_tensor$ap': ( 'A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ) > 'A_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$ap',axiom,
    'register_tensor$ap'('fmb_A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') = 'fmb_A_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$cj',type,
    'comp$cj': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$cj',axiom,
    'comp$cj'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$h',type,
    'register_tensor$h': ( 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$h',axiom,
    'register_tensor$h'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$cm',type,
    'comp$cm': ( 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$cm',axiom,
    'comp$cm'('fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$s',type,
    'fun_app$s': ( 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$' ) > 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$' ).

tff('function_fun_app$s',axiom,
    'fun_app$s'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$_1') = 'fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$_1' ).

tff('declare_fun_app$l',type,
    'fun_app$l': ( 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun$' ) > 'B_ell2_b_ell2_cblinfun$' ).

tff('function_fun_app$l',axiom,
    'fun_app$l'('fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun$_1') = 'fmb_B_ell2_b_ell2_cblinfun$_1' ).

tff('declare_register_tensor$q',type,
    'register_tensor$q': ( 'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$q',axiom,
    'register_tensor$q'('fmb_B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$ax',type,
    'register_tensor$ax': ( 'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$ax',axiom,
    'register_tensor$ax'('fmb_B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$s',type,
    'register_pair$s': ( 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).

tff('function_register_pair$s',axiom,
    'register_pair$s'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$t',type,
    'fun_app$t': ( 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' * 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$' ) > 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$' ).

tff('function_fun_app$t',axiom,
    'fun_app$t'('fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1','fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$_1') = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$_1' ).

tff('declare_register_tensor$bp',type,
    'register_tensor$bp': ( 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ) > 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$bp',axiom,
    'register_tensor$bp'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') = 'fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$az',type,
    'register_pair$az': ( 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$az',axiom,
    'register_pair$az'('fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_inv_into$ae',type,
    'inv_into$ae': ( 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$' * 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_inv_into$ae',axiom,
    'inv_into$ae'('fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$_1','fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_butterfly$b',type,
    'butterfly$b': ( 'C_ell2$' * 'C_ell2$' ) > 'C_ell2_c_ell2_cblinfun$' ).

tff('function_butterfly$b',axiom,
    'butterfly$b'('fmb_C_ell2$_1','fmb_C_ell2$_1') = 'fmb_C_ell2_c_ell2_cblinfun$_1' ).

tff('declare_inv_into$ad',type,
    'inv_into$ad': ( 'C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$' * 'C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ) > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_inv_into$ad',axiom,
    'inv_into$ad'('fmb_C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$_1','fmb_C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1') = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$v',type,
    'register_pair$v': ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).

tff('function_register_pair$v',axiom,
    'register_pair$v'('fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' ).

tff('declare_inv_into$t',type,
    'inv_into$t': ( 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$' * 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_inv_into$t',axiom,
    'inv_into$t'('fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$_1','fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$y',type,
    'comp$y': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$y',axiom,
    'comp$y'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') = 'fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$ac',type,
    'comp$ac': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$ac',axiom,
    'comp$ac'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$bo',type,
    'comp$bo': ( 'A_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) > 'C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$' ).

tff('function_comp$bo',axiom,
    'comp$bo'('fmb_A_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$f',type,
    'register_pair$f': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$f',axiom,
    'register_pair$f'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$r',type,
    'comp$r': ( 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$r',axiom,
    'comp$r'('fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$bc',type,
    'register_tensor$bc': ( 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ) > 'B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$bc',axiom,
    'register_tensor$bc'('fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') = 'fmb_B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_inv_into$ar',type,
    'inv_into$ar': ( 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_inv_into$ar',axiom,
    'inv_into$ar'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_A_ell2_a_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$n',type,
    'register_tensor$n': ( 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$n',axiom,
    'register_tensor$n'('fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$ai',type,
    'register_tensor$ai': ( 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$ai',axiom,
    'register_tensor$ai'('fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$l',type,
    'register_pair$l': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$l',axiom,
    'register_pair$l'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_complement$n',type,
    'complement$n': 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).

tff('function_complement$n',axiom,
    'complement$n'('fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' ).

tff('declare_inv_into$ai',type,
    'inv_into$ai': ( 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) > 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_inv_into$ai',axiom,
    'inv_into$ai'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_complement$e',type,
    'complement$e': 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_complement$e',axiom,
    'complement$e'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_inv_into$h',type,
    'inv_into$h': ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ) > 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_inv_into$h',axiom,
    'inv_into$h'('fmb_B_ell2_b_ell2_cblinfun_set$_1','fmb_B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') = 'fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$aq',type,
    'fun_app$aq': ( 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$' ) > 'A_ell2_a_ell2_cblinfun$' ).

tff('function_fun_app$aq',axiom,
    'fun_app$aq'('fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$_1') = 'fmb_A_ell2_a_ell2_cblinfun$_1' ).

tff('declare_complement$a',type,
    'complement$a': 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > 'C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_complement$a',axiom,
    'complement$a'('fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$ai',type,
    'fun_app$ai': ( 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$' * 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$' ) > 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$' ).

tff('function_fun_app$ai',axiom,
    'fun_app$ai'('fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$_1','fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$_1') = 'fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$_1' ).

tff('declare_comp$db',type,
    'comp$db': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).

tff('function_comp$db',axiom,
    'comp$db'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' ).

tff('declare_comp$s',type,
    'comp$s': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$s',axiom,
    'comp$s'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$bc',type,
    'register_pair$bc': ( 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).

tff('function_register_pair$bc',axiom,
    'register_pair$bc'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$al',type,
    'fun_app$al': ( 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' * 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$' ) > 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$' ).

tff('function_fun_app$al',axiom,
    'fun_app$al'('fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1','fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$_1') = 'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$_1' ).

tff('declare_inv_into$ao',type,
    'inv_into$ao': ( 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$' * 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_inv_into$ao',axiom,
    'inv_into$ao'('fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$_1','fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$ag',type,
    'register_tensor$ag': ( 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$ag',axiom,
    'register_tensor$ag'('fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$ax',type,
    'register_pair$ax': ( 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_c_a_complement_domain_prod_ell2_c_c_a_complement_domain_prod_ell2_cblinfun$' ) > 'A_ell2_a_ell2_cblinfun$' ).

tff('function_register_pair$ax',axiom,
    'register_pair$ax'('fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_C_c_a_complement_domain_prod_ell2_c_c_a_complement_domain_prod_ell2_cblinfun$_1') = 'fmb_A_ell2_a_ell2_cblinfun$_1' ).

tff('declare_comp$dk',type,
    'comp$dk': ( 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$dk',axiom,
    'comp$dk'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$ak',type,
    'register_tensor$ak': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$ak',axiom,
    'register_tensor$ak'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$h',type,
    'fun_app$h': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$' ) > 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$' ).

tff('function_fun_app$h',axiom,
    'fun_app$h'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$_1') = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$_1' ).

tff('declare_comp$bx',type,
    'comp$bx': ( 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ) > 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$bx',axiom,
    'comp$bx'('fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$ci',type,
    'comp$ci': ( 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$' ) > 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$ci',axiom,
    'comp$ci'('fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$_1') = 'fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$by',type,
    'comp$by': ( 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$' ) > 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$by',axiom,
    'comp$by'('fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$ai',type,
    'register_pair$ai': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$ai',axiom,
    'register_pair$ai'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_inv_into$e',type,
    'inv_into$e': ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_inv_into$e',axiom,
    'inv_into$e'('fmb_B_ell2_b_ell2_cblinfun_set$_1','fmb_B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$bo',type,
    'register_tensor$bo': ( 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$' ) > 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$bo',axiom,
    'register_tensor$bo'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$bn',type,
    'comp$bn': ( 'A_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun$' * 'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun$' ).

tff('function_comp$bn',axiom,
    'comp$bn'('fmb_A_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun$_1','fmb_B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$ao',type,
    'register_pair$ao': ( 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$ao',axiom,
    'register_pair$ao'('fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_inv_into$x',type,
    'inv_into$x': ( 'A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$' * 'A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ) > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_inv_into$x',axiom,
    'inv_into$x'('fmb_A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$_1','fmb_A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1') = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$i',type,
    'register_pair$i': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$i',axiom,
    'register_pair$i'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_tensor_op$o',type,
    'tensor_op$o': ( 'C_ell2_c_ell2_cblinfun$' * 'A_ell2_a_ell2_cblinfun$' ) > 'C_a_prod_ell2_c_a_prod_ell2_cblinfun$' ).

tff('function_tensor_op$o',axiom,
    'tensor_op$o'('fmb_C_ell2_c_ell2_cblinfun$_1','fmb_A_ell2_a_ell2_cblinfun$_1') = 'fmb_C_a_prod_ell2_c_a_prod_ell2_cblinfun$_1' ).

tff('declare_tensor_op$m',type,
    'tensor_op$m': ( 'C_ell2_c_ell2_cblinfun$' * 'C_ell2_c_ell2_cblinfun$' ) > 'C_c_prod_ell2_c_c_prod_ell2_cblinfun$' ).

tff('function_tensor_op$m',axiom,
    'tensor_op$m'('fmb_C_ell2_c_ell2_cblinfun$_1','fmb_C_ell2_c_ell2_cblinfun$_1') = 'fmb_C_c_prod_ell2_c_c_prod_ell2_cblinfun$_1' ).

tff('declare_inv_into$am',type,
    'inv_into$am': ( 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_fun$' ) > 'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_inv_into$am',axiom,
    'inv_into$am'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_fun$_1') = 'fmb_C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$au',type,
    'register_tensor$au': ( 'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$au',axiom,
    'register_tensor$au'('fmb_B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_complement$r',type,
    'complement$r': 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).

tff('function_complement$r',axiom,
    'complement$r'('fmb_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$an',type,
    'fun_app$an': ( 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_ell2_a_c_prod_ell2_cblinfun$' ) > 'B_ell2_b_ell2_cblinfun$' ).

tff('function_fun_app$an',axiom,
    'fun_app$an'('fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun$_1') = 'fmb_B_ell2_b_ell2_cblinfun$_1' ).

tff('declare_comp$dg',type,
    'comp$dg': ( 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$dg',axiom,
    'comp$dg'('fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$bf',type,
    'register_pair$bf': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$bf',axiom,
    'register_pair$bf'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$ag',type,
    'fun_app$ag': ( 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' * 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$' ) > 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$' ).

tff('function_fun_app$ag',axiom,
    'fun_app$ag'('fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1','fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$_1') = 'fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$_1' ).

tff('declare_ket$a',type,
    'ket$a': 'A$' > 'A_ell2$' ).

tff('function_ket$a',axiom,
    'ket$a'('fmb_A$_1') = 'fmb_A_ell2$_1' ).

tff('declare_comp$u',type,
    'comp$u': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$u',axiom,
    'comp$u'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$ap',type,
    'register_pair$ap': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$ap',axiom,
    'register_pair$ap'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$o',type,
    'register_pair$o': ( 'A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' * 'B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) > 'A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_register_pair$o',axiom,
    'register_pair$o'('fmb_A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1','fmb_B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$j',type,
    'fun_app$j': ( 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$' ) > 'B_ell2_b_ell2_cblinfun$' ).

tff('function_fun_app$j',axiom,
    'fun_app$j'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$_1') = 'fmb_B_ell2_b_ell2_cblinfun$_1' ).

tff('declare_register_tensor$bh',type,
    'register_tensor$bh': ( 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$bh',axiom,
    'register_tensor$bh'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$as',type,
    'comp$as': ( 'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_fun$' ) > 'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$as',axiom,
    'comp$as'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_fun$_1') = 'fmb_A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_tensor_op$b',type,
    'tensor_op$b': ( 'B_ell2_b_ell2_cblinfun$' * 'B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun$' ) > 'B_b_c_complement_domain_prod_ell2_b_b_c_complement_domain_prod_ell2_cblinfun$' ).

tff('function_tensor_op$b',axiom,
    'tensor_op$b'('fmb_B_ell2_b_ell2_cblinfun$_1','fmb_B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun$_1') = 'fmb_B_b_c_complement_domain_prod_ell2_b_b_c_complement_domain_prod_ell2_cblinfun$_1' ).

tff('declare_inv_into$s',type,
    'inv_into$s': ( 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$' * 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_inv_into$s',axiom,
    'inv_into$s'('fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$_1','fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$aq',type,
    'register_tensor$aq': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ) > 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$aq',axiom,
    'register_tensor$aq'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$bb',type,
    'register_tensor$bb': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$bb',axiom,
    'register_tensor$bb'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_butterfly$',type,
    'butterfly$': ( 'B_ell2$' * 'B_ell2$' ) > 'B_ell2_b_ell2_cblinfun$' ).

tff('function_butterfly$',axiom,
    'butterfly$'('fmb_B_ell2$_1','fmb_B_ell2$_1') = 'fmb_B_ell2_b_ell2_cblinfun$_1' ).

tff('declare_inv_into$b',type,
    'inv_into$b': ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_inv_into$b',axiom,
    'inv_into$b'('fmb_B_ell2_b_ell2_cblinfun_set$_1','fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$ak',type,
    'comp$ak': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$ak',axiom,
    'comp$ak'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_complement$p',type,
    'complement$p': 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).

tff('function_complement$p',axiom,
    'complement$p'('fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$at',type,
    'fun_app$at': ( 'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' * 'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun$' ) > 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$' ).

tff('function_fun_app$at',axiom,
    'fun_app$at'('fmb_A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun$_1') = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$_1' ).

tff('declare_complement$h',type,
    'complement$h': 'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' > 'B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_complement$h',axiom,
    'complement$h'('fmb_B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$bn',type,
    'register_tensor$bn': ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$bn',axiom,
    'register_tensor$bn'('fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$d',type,
    'register_tensor$d': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$d',axiom,
    'register_tensor$d'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$c',type,
    'register_pair$c': ( 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$c',axiom,
    'register_pair$c'('fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$a',type,
    'register_tensor$a': ( 'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$a',axiom,
    'register_tensor$a'('fmb_B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_complement$k',type,
    'complement$k': 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > 'C_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_complement$k',axiom,
    'complement$k'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_inv_into$af',type,
    'inv_into$af': ( 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_inv_into$af',axiom,
    'inv_into$af'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$ad',type,
    'register_pair$ad': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_b_complement_domain_c_prod_ell2_a_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$ad',axiom,
    'register_pair$ad'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_b_complement_domain_c_prod_ell2_a_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_tensor_op$a',type,
    'tensor_op$a': ( 'B_ell2_b_ell2_cblinfun$' * 'B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun$' ) > 'B_b_a_complement_domain_prod_ell2_b_b_a_complement_domain_prod_ell2_cblinfun$' ).

tff('function_tensor_op$a',axiom,
    'tensor_op$a'('fmb_B_ell2_b_ell2_cblinfun$_1','fmb_B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun$_1') = 'fmb_B_b_a_complement_domain_prod_ell2_b_b_a_complement_domain_prod_ell2_cblinfun$_1' ).

tff('declare_comp$au',type,
    'comp$au': ( 'A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) > 'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$au',axiom,
    'comp$au'('fmb_A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$cf',type,
    'comp$cf': ( 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) > 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$cf',axiom,
    'comp$cf'('fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$j',type,
    'register_tensor$j': ( 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$j',axiom,
    'register_tensor$j'('fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$k',type,
    'register_tensor$k': ( 'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$k',axiom,
    'register_tensor$k'('fmb_B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$b',type,
    'fun_app$b': ( 'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun$' ) > 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$' ).

tff('function_fun_app$b',axiom,
    'fun_app$b'('fmb_B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun$_1') = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$_1' ).

tff('declare_collect$a',type,
    'collect$a': 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun$' > 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$' ).

tff('function_collect$a',axiom,
    'collect$a'('fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun$_1') = 'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$_1' ).

tff('declare_inv_into$l',type,
    'inv_into$l': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ).

tff('function_inv_into$l',axiom,
    'inv_into$l'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1' ).

tff('declare_comp$ai',type,
    'comp$ai': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ) > 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$ai',axiom,
    'comp$ai'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') = 'fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$ac',type,
    'register_pair$ac': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_b_complement_domain_c_prod_ell2_a_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$ac',axiom,
    'register_pair$ac'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_c_prod_ell2_a_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_inv_into$ac',type,
    'inv_into$ac': ( 'C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$' * 'C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ) > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_inv_into$ac',axiom,
    'inv_into$ac'('fmb_C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$_1','fmb_C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1') = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$ab',type,
    'register_pair$ab': ( 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$ab',axiom,
    'register_pair$ab'('fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_inv_into$n',type,
    'inv_into$n': ( 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_inv_into$n',axiom,
    'inv_into$n'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$bz',type,
    'comp$bz': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$bz',axiom,
    'comp$bz'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$v',type,
    'fun_app$v': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun$' ) > 'B_ell2_b_ell2_cblinfun$' ).

tff('function_fun_app$v',axiom,
    'fun_app$v'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun$_1') = 'fmb_B_ell2_b_ell2_cblinfun$_1' ).

tff('declare_register_pair$ay',type,
    'register_pair$ay': ( 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_c_c_complement_domain_prod_ell2_c_c_c_complement_domain_prod_ell2_cblinfun$' ) > 'C_ell2_c_ell2_cblinfun$' ).

tff('function_register_pair$ay',axiom,
    'register_pair$ay'('fmb_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_C_c_c_complement_domain_prod_ell2_c_c_c_complement_domain_prod_ell2_cblinfun$_1') = 'fmb_C_ell2_c_ell2_cblinfun$_1' ).

tff('declare_register_pair$e',type,
    'register_pair$e': ( 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$e',axiom,
    'register_pair$e'('fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$m',type,
    'comp$m': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$m',axiom,
    'comp$m'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_inv_into$ak',type,
    'inv_into$ak': ( 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$' * 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$' ) > 'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_inv_into$ak',axiom,
    'inv_into$ak'('fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$_1','fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$_1') = 'fmb_A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$as',type,
    'register_pair$as': ( 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_b_b_complement_domain_prod_ell2_b_b_b_complement_domain_prod_ell2_cblinfun$' ) > 'B_ell2_b_ell2_cblinfun$' ).

tff('function_register_pair$as',axiom,
    'register_pair$as'('fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_B_b_b_complement_domain_prod_ell2_b_b_b_complement_domain_prod_ell2_cblinfun$_1') = 'fmb_B_ell2_b_ell2_cblinfun$_1' ).

tff('declare_comp$cs',type,
    'comp$cs': ( 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) > 'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$cs',axiom,
    'comp$cs'('fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_tensor_op$j',type,
    'tensor_op$j': ( 'A_ell2_a_ell2_cblinfun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$' ) > 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$' ).

tff('function_tensor_op$j',axiom,
    'tensor_op$j'('fmb_A_ell2_a_ell2_cblinfun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$_1') = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$_1' ).

tff('declare_inv_into$w',type,
    'inv_into$w': ( 'C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$' * 'C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ) > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_inv_into$w',axiom,
    'inv_into$w'('fmb_C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$_1','fmb_C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1') = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_collect$d',type,
    'collect$d': 'B_ell2_b_ell2_cblinfun_bool_fun$' > 'B_ell2_b_ell2_cblinfun_set$' ).

tff('function_collect$d',axiom,
    'collect$d'('fmb_B_ell2_b_ell2_cblinfun_bool_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_set$_1' ).

tff('declare_register_pair$',type,
    'register_pair$': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$',axiom,
    'register_pair$'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$cl',type,
    'comp$cl': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$cl',axiom,
    'comp$cl'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$dj',type,
    'comp$dj': ( 'A_ell2_a_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_comp$dj',axiom,
    'comp$dj'('fmb_A_ell2_a_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$f',type,
    'comp$f': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$f',axiom,
    'comp$f'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$d',type,
    'fun_app$d': ( 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$' ) > 'B_ell2_b_ell2_cblinfun$' ).

tff('function_fun_app$d',axiom,
    'fun_app$d'('fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$_1') = 'fmb_B_ell2_b_ell2_cblinfun$_1' ).

tff('declare_inv_into$',type,
    'inv_into$': ( 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$' * 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_inv_into$',axiom,
    'inv_into$'('fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$_1','fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$dm',type,
    'comp$dm': ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).

tff('function_comp$dm',axiom,
    'comp$dm'('fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' ).

tff('declare_ket$b',type,
    'ket$b': 'C$' > 'C_ell2$' ).

tff('function_ket$b',axiom,
    'ket$b'('fmb_C$_1') = 'fmb_C_ell2$_1' ).

tff('declare_fun_app$g',type,
    'fun_app$g': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$' ) > 'B_ell2_b_ell2_cblinfun$' ).

tff('function_fun_app$g',axiom,
    'fun_app$g'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$_1') = 'fmb_B_ell2_b_ell2_cblinfun$_1' ).

tff('declare_register_tensor$at',type,
    'register_tensor$at': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) > 'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$at',axiom,
    'register_tensor$at'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$az',type,
    'comp$az': ( 'A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_a_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_fun$' ) > 'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$az',axiom,
    'comp$az'('fmb_A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_a_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$m',type,
    'fun_app$m': ( 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' * 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$' ) > 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$' ).

tff('function_fun_app$m',axiom,
    'fun_app$m'('fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$_1') = 'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$_1' ).

tff('declare_register_pair$j',type,
    'register_pair$j': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'C_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$j',axiom,
    'register_pair$j'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_inv_into$j',type,
    'inv_into$j': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_inv_into$j',axiom,
    'inv_into$j'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$a',type,
    'register_pair$a': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$a',axiom,
    'register_pair$a'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$be',type,
    'comp$be': ( 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$be',axiom,
    'comp$be'('fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$q',type,
    'register_pair$q': ( 'C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ) > 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ).

tff('function_register_pair$q',axiom,
    'register_pair$q'('fmb_C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') = 'fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$w',type,
    'fun_app$w': ( 'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' * 'C_a_prod_ell2_c_a_prod_ell2_cblinfun$' ) > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun$' ).

tff('function_fun_app$w',axiom,
    'fun_app$w'('fmb_C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1','fmb_C_a_prod_ell2_c_a_prod_ell2_cblinfun$_1') = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun$_1' ).

tff('declare_tensor_op$f',type,
    'tensor_op$f': ( 'C_ell2_c_ell2_cblinfun$' * 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$' ) > 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$' ).

tff('function_tensor_op$f',axiom,
    'tensor_op$f'('fmb_C_ell2_c_ell2_cblinfun$_1','fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$_1') = 'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$_1' ).

tff('declare_register_pair$n',type,
    'register_pair$n': ( 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$n',axiom,
    'register_pair$n'('fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_inv_into$a',type,
    'inv_into$a': ( 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$' * 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_inv_into$a',axiom,
    'inv_into$a'('fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$_1','fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_butterfly$c',type,
    'butterfly$c': ( 'A_c_prod_ell2$' * 'A_c_prod_ell2$' ) > 'A_c_prod_ell2_a_c_prod_ell2_cblinfun$' ).

tff('function_butterfly$c',axiom,
    'butterfly$c'('fmb_A_c_prod_ell2$_1','fmb_A_c_prod_ell2$_1') = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun$_1' ).

tff('declare_tensor_op$i',type,
    'tensor_op$i': ( 'A_c_prod_ell2_a_c_prod_ell2_cblinfun$' * 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun$' ) > 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$' ).

tff('function_tensor_op$i',axiom,
    'tensor_op$i'('fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun$_1','fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun$_1') = 'fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$_1' ).

tff('declare_register_pair$ah',type,
    'register_pair$ah': ( 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$ah',axiom,
    'register_pair$ah'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$p',type,
    'fun_app$p': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$' ) > 'B_ell2_b_ell2_cblinfun$' ).

tff('function_fun_app$p',axiom,
    'fun_app$p'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$_1') = 'fmb_B_ell2_b_ell2_cblinfun$_1' ).

tff('declare_inv_into$v',type,
    'inv_into$v': ( 'C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$' * 'C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ) > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_inv_into$v',axiom,
    'inv_into$v'('fmb_C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$_1','fmb_C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1') = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$al',type,
    'comp$al': ( 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$al',axiom,
    'comp$al'('fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$ay',type,
    'register_tensor$ay': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) > 'A_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$ay',axiom,
    'register_tensor$ay'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_A_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$ax',type,
    'fun_app$ax': ( 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_fun$' * 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$' ) > 'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun$' ).

tff('function_fun_app$ax',axiom,
    'fun_app$ax'('fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_fun$_1','fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$_1') = 'fmb_C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun$_1' ).

tff('declare_fun_app$af',type,
    'fun_app$af': ( 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun$' ) > 'A_ell2_a_ell2_cblinfun$' ).

tff('function_fun_app$af',axiom,
    'fun_app$af'('fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun$_1') = 'fmb_A_ell2_a_ell2_cblinfun$_1' ).

tff('declare_register_pair$r',type,
    'register_pair$r': ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).

tff('function_register_pair$r',axiom,
    'register_pair$r'('fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1' ).

tff('declare_comp$cc',type,
    'comp$cc': ( 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$cc',axiom,
    'comp$cc'('fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$_1') = 'fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$ab',type,
    'register_tensor$ab': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$ab',axiom,
    'register_tensor$ab'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_complement$j',type,
    'complement$j': 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' > 'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ).

tff('function_complement$j',axiom,
    'complement$j'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') = 'fmb_C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1' ).

tff('declare_comp$cz',type,
    'comp$cz': ( 'A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' * 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_comp$cz',axiom,
    'comp$cz'('fmb_A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$bf',type,
    'comp$bf': ( 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$bf',axiom,
    'comp$bf'('fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$au',type,
    'fun_app$au': ( 'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' * 'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun$' ) > 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$' ).

tff('function_fun_app$au',axiom,
    'fun_app$au'('fmb_C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun$_1') = 'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$_1' ).

tff('declare_register_pair$al',type,
    'register_pair$al': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$al',axiom,
    'register_pair$al'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$ay',type,
    'comp$ay': ( 'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_fun$' ) > 'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$ay',axiom,
    'comp$ay'('fmb_A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$y',type,
    'register_tensor$y': ( 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$' ) > 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$y',axiom,
    'register_tensor$y'('fmb_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$_1') = 'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$a',type,
    'fun_app$a': ( 'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun$' ) > 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$' ).

tff('function_fun_app$a',axiom,
    'fun_app$a'('fmb_B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun$_1') = 'fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$_1' ).

tff('declare_tensor_op$r',type,
    'tensor_op$r': ( 'B_ell2_b_ell2_cblinfun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$' ) > 'B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun$' ).

tff('function_tensor_op$r',axiom,
    'tensor_op$r'('fmb_B_ell2_b_ell2_cblinfun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$_1') = 'fmb_B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun$_1' ).

tff('declare_register_pair$ar',type,
    'register_pair$ar': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$ar',axiom,
    'register_pair$ar'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$u',type,
    'fun_app$u': ( 'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' * 'C_c_prod_ell2_c_c_prod_ell2_cblinfun$' ) > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun$' ).

tff('function_fun_app$u',axiom,
    'fun_app$u'('fmb_C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1','fmb_C_c_prod_ell2_c_c_prod_ell2_cblinfun$_1') = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun$_1' ).

tff('declare_comp$p',type,
    'comp$p': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$p',axiom,
    'comp$p'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_complement$b',type,
    'complement$b': 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > 'A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_complement$b',axiom,
    'complement$b'('fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_tensor_op$l',type,
    'tensor_op$l': ( 'A_ell2_a_ell2_cblinfun$' * 'C_ell2_c_ell2_cblinfun$' ) > 'A_c_prod_ell2_a_c_prod_ell2_cblinfun$' ).

tff('function_tensor_op$l',axiom,
    'tensor_op$l'('fmb_A_ell2_a_ell2_cblinfun$_1','fmb_C_ell2_c_ell2_cblinfun$_1') = 'fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun$_1' ).

tff('declare_comp$bs',type,
    'comp$bs': ( 'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) > 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_comp$bs',axiom,
    'comp$bs'('fmb_B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_tensor_op$h',type,
    'tensor_op$h': ( 'C_ell2_c_ell2_cblinfun$' * 'C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun$' ) > 'C_c_c_complement_domain_prod_ell2_c_c_c_complement_domain_prod_ell2_cblinfun$' ).

tff('function_tensor_op$h',axiom,
    'tensor_op$h'('fmb_C_ell2_c_ell2_cblinfun$_1','fmb_C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun$_1') = 'fmb_C_c_c_complement_domain_prod_ell2_c_c_c_complement_domain_prod_ell2_cblinfun$_1' ).

tff('declare_fun_app$n',type,
    'fun_app$n': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$' ) > 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$' ).

tff('function_fun_app$n',axiom,
    'fun_app$n'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$_1') = 'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$_1' ).

tff('declare_comp$o',type,
    'comp$o': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$o',axiom,
    'comp$o'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$bb',type,
    'comp$bb': ( 'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_a_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_fun$' ) > 'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$bb',axiom,
    'comp$bb'('fmb_A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_a_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$a',type,
    'comp$a': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_comp$a',axiom,
    'comp$a'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$bt',type,
    'comp$bt': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('function_comp$bt',axiom,
    'comp$bt'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$be',type,
    'register_tensor$be': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$be',axiom,
    'register_tensor$be'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$i',type,
    'register_tensor$i': ( 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ) > 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$i',axiom,
    'register_tensor$i'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$dl',type,
    'comp$dl': ( 'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_comp$dl',axiom,
    'comp$dl'('fmb_B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$am',type,
    'comp$am': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ) > 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ).

tff('function_comp$am',axiom,
    'comp$am'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') = 'fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1' ).

tff('declare_complement$',type,
    'complement$': 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_complement$',axiom,
    'complement$'('fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_inv_into$al',type,
    'inv_into$al': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun$' ) > 'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_inv_into$al',axiom,
    'inv_into$al'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun$_1') = 'fmb_A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_inv_into$aa',type,
    'inv_into$aa': ( 'C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set$' * 'C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ) > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$' ).

tff('function_inv_into$aa',axiom,
    'inv_into$aa'('fmb_C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set$_1','fmb_C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1') = 'fmb_B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$al',type,
    'register_tensor$al': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'C_a_c_prod_prod_ell2_c_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$al',axiom,
    'register_tensor$al'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_a_c_prod_prod_ell2_c_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_inv_into$u',type,
    'inv_into$u': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_inv_into$u',axiom,
    'inv_into$u'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$bm',type,
    'register_tensor$bm': ( 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$bm',axiom,
    'register_tensor$bm'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') = 'fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$af',type,
    'register_pair$af': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$af',axiom,
    'register_pair$af'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$bq',type,
    'register_tensor$bq': ( 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$bq',axiom,
    'register_tensor$bq'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$ba',type,
    'comp$ba': ( 'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$' ) > 'A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$ba',axiom,
    'comp$ba'('fmb_A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$q',type,
    'fun_app$q': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$' ) > 'B_ell2_b_ell2_cblinfun$' ).

tff('function_fun_app$q',axiom,
    'fun_app$q'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$_1') = 'fmb_B_ell2_b_ell2_cblinfun$_1' ).

tff('declare_comp$cn',type,
    'comp$cn': ( 'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$' ) > 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$cn',axiom,
    'comp$cn'('fmb_A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$_1') = 'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$m',type,
    'register_pair$m': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$m',axiom,
    'register_pair$m'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_inv_into$p',type,
    'inv_into$p': ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) > 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_inv_into$p',axiom,
    'inv_into$p'('fmb_B_ell2_b_ell2_cblinfun_set$_1','fmb_B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$bg',type,
    'register_tensor$bg': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$bg',axiom,
    'register_tensor$bg'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$ck',type,
    'comp$ck': ( 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$ck',axiom,
    'comp$ck'('fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$ao',type,
    'comp$ao': ( 'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_a_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_fun$' ) > 'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$ao',axiom,
    'comp$ao'('fmb_A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_a_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_fun$_1') = 'fmb_A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_tensor_op$g',type,
    'tensor_op$g': ( 'C_ell2_c_ell2_cblinfun$' * 'C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun$' ) > 'C_c_a_complement_domain_prod_ell2_c_c_a_complement_domain_prod_ell2_cblinfun$' ).

tff('function_tensor_op$g',axiom,
    'tensor_op$g'('fmb_C_ell2_c_ell2_cblinfun$_1','fmb_C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun$_1') = 'fmb_C_c_a_complement_domain_prod_ell2_c_c_a_complement_domain_prod_ell2_cblinfun$_1' ).

tff('declare_inv_into$r',type,
    'inv_into$r': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) > 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_inv_into$r',axiom,
    'inv_into$r'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_comp$g',type,
    'comp$g': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$g',axiom,
    'comp$g'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$k',type,
    'register_pair$k': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$k',axiom,
    'register_pair$k'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_A_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$cu',type,
    'comp$cu': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$cu',axiom,
    'comp$cu'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$av',type,
    'comp$av': ( 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_comp$av',axiom,
    'comp$av'('fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_inv_into$ap',type,
    'inv_into$ap': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_inv_into$ap',axiom,
    'inv_into$ap'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') = 'fmb_A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_pair$h',type,
    'register_pair$h': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'C_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff('function_register_pair$h',axiom,
    'register_pair$h'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1' ).

tff('declare_comp$an',type,
    'comp$an': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ).

tff('function_comp$an',axiom,
    'comp$an'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1' ).

tff('declare_comp$bk',type,
    'comp$bk': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) > 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ).

tff('function_comp$bk',axiom,
    'comp$bk'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1' ).

tff('declare_register_tensor$ae',type,
    'register_tensor$ae': ( 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'C_b_complement_domain_c_b_complement_domain_prod_ell2_c_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$ae',axiom,
    'register_tensor$ae'('fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_b_complement_domain_c_b_complement_domain_prod_ell2_c_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$aj',type,
    'fun_app$aj': ( 'C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$' * 'C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$' ) > 'B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun$' ).

tff('function_fun_app$aj',axiom,
    'fun_app$aj'('fmb_C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$_1') = 'fmb_B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun$_1' ).

tff('declare_register_tensor$aa',type,
    'register_tensor$aa': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun$' ).

tff('function_register_tensor$aa',axiom,
    'register_tensor$aa'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun$_1' ).

tff('declare_inv_into$d',type,
    'inv_into$d': ( 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$' * 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ).

tff('function_inv_into$d',axiom,
    'inv_into$d'('fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$_1','fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') = 'fmb_B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1' ).

tff('declare_fun_app$aa',type,
    'fun_app$aa': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$' ) > 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$' ).

tff('function_fun_app$aa',axiom,
    'fun_app$aa'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$_1') = 'fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$_1' ).

tff('declare_equivalent_registers$q',type,
    'equivalent_registers$q': ( 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$q',axiom,
    'equivalent_registers$q'('fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_complements$ad',type,
    'complements$ad': ( 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' * 'A_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$ad',axiom,
    'complements$ad'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_A_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') ).

tff('declare_bij_betw$s',type,
    'bij_betw$s': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$' ) > $o ).

tff('predicate_bij_betw$s',axiom,
    'bij_betw$s'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$_1') ).

tff('declare_bij_betw$l',type,
    'bij_betw$l': ( 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' * 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$' ) > $o ).

tff('predicate_bij_betw$l',axiom,
    'bij_betw$l'('fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$_1') ).

tff('declare_iso_register$a',type,
    'iso_register$a': 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).

tff('predicate_iso_register$a',axiom,
    ~ 'iso_register$a'('fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_register$aq',type,
    'register$aq': 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$aq',axiom,
    'register$aq'('fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') ).

tff('declare_complements$y',type,
    'complements$y': ( 'A_c_prod_a_prod_ell2_a_c_prod_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$y',axiom,
    'complements$y'('fmb_A_c_prod_a_prod_ell2_a_c_prod_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1') ).

tff('declare_complements$r',type,
    'complements$r': ( 'C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$r',axiom,
    ~ 'complements$r'('fmb_C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') ).

tff('declare_register$o',type,
    'register$o': 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$o',axiom,
    'register$o'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_bij_betw$ab',type,
    'bij_betw$ab': ( 'A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' * 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$' ) > $o ).

tff('predicate_bij_betw$ab',axiom,
    'bij_betw$ab'('fmb_A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_set$_1','fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$_1') ).

tff('declare_equivalent_registers$am',type,
    'equivalent_registers$am': ( 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$am',axiom,
    'equivalent_registers$am'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_complements$ah',type,
    'complements$ah': ( 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$ah',axiom,
    ~ 'complements$ah'('fmb_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') ).

tff('declare_iso_register$ad',type,
    'iso_register$ad': 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > $o ).

tff('predicate_iso_register$ad',axiom,
    ~ 'iso_register$ad'('fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') ).

tff('declare_member$b',type,
    'member$b': ( 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$' * 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$' ) > $o ).

tff('predicate_member$b',axiom,
    'member$b'('fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$_1','fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$_1') ).

tff('declare_equivalent_registers$ba',type,
    'equivalent_registers$ba': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$ba',axiom,
    'equivalent_registers$ba'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_complements$',type,
    'complements$': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$',axiom,
    'complements$'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$ar',type,
    'equivalent_registers$ar': ( 'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$ar',axiom,
    'equivalent_registers$ar'('fmb_A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_iso_register$ab',type,
    'iso_register$ab': 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > $o ).

tff('predicate_iso_register$ab',axiom,
    ~ 'iso_register$ab'('fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$d',type,
    'equivalent_registers$d': ( 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$d',axiom,
    'equivalent_registers$d'('fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$ac',type,
    'equivalent_registers$ac': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$ac',axiom,
    'equivalent_registers$ac'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$y',type,
    'compatible$y': ( 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$y',axiom,
    ~ 'compatible$y'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') ).

tff('declare_bij_betw$q',type,
    'bij_betw$q': ( 'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' * 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$' ) > $o ).

tff('predicate_bij_betw$q',axiom,
    'bij_betw$q'('fmb_B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_set$_1','fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$_1') ).

tff('declare_register$ar',type,
    'register$ar': 'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$ar',axiom,
    'register$ar'('fmb_B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$ah',type,
    'equivalent_registers$ah': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$ah',axiom,
    'equivalent_registers$ah'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$ar',type,
    'compatible$ar': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$ar',axiom,
    'compatible$ar'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') ).

tff('declare_regular_register$b',type,
    'regular_register$b': 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).

tff('predicate_regular_register$b',axiom,
    ~ 'regular_register$b'('fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$az',type,
    'compatible$az': ( 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$az',axiom,
    ~ 'compatible$az'('fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$av',type,
    'compatible$av': ( 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$av',axiom,
    ~ 'compatible$av'('fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$l',type,
    'compatible$l': ( 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$l',axiom,
    'compatible$l'('fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_complements$w',type,
    'complements$w': ( 'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' * 'C_b_complement_domain_a_b_complement_domain_prod_ell2_c_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$w',axiom,
    'complements$w'('fmb_C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1','fmb_C_b_complement_domain_a_b_complement_domain_prod_ell2_c_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$m',type,
    'compatible$m': ( 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$m',axiom,
    'compatible$m'('fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$u',type,
    'compatible$u': ( 'C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$u',axiom,
    ~ 'compatible$u'('fmb_C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$aw',type,
    'compatible$aw': ( 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' * 'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$aw',axiom,
    'compatible$aw'('fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1','fmb_C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1') ).

tff('declare_bij_betw$ad',type,
    'bij_betw$ad': ( 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_set$' ) > $o ).

tff('predicate_bij_betw$ad',axiom,
    'bij_betw$ad'('fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$_1','fmb_A_ell2_a_ell2_cblinfun_set$_1') ).

tff('declare_register$g',type,
    'register$g': 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$g',axiom,
    'register$g'('fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$at',type,
    'equivalent_registers$at': ( 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$at',axiom,
    'equivalent_registers$at'('fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_bij_betw$c',type,
    'bij_betw$c': ( 'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' * 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$' ) > $o ).

tff('predicate_bij_betw$c',axiom,
    'bij_betw$c'('fmb_B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_set$_1','fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$_1') ).

tff('declare_compatible$f',type,
    'compatible$f': ( 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$f',axiom,
    'compatible$f'('fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$x',type,
    'compatible$x': ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$x',axiom,
    ~ 'compatible$x'('fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') ).

tff('declare_register$ad',type,
    'register$ad': 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$ad',axiom,
    'register$ad'('fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1') ).

tff('declare_bij_betw$p',type,
    'bij_betw$p': ( 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_set$' ) > $o ).

tff('predicate_bij_betw$p',axiom,
    ~ 'bij_betw$p'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$_1','fmb_B_ell2_b_ell2_cblinfun_set$_1') ).

tff('declare_iso_register$j',type,
    'iso_register$j': 'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' > $o ).

tff('predicate_iso_register$j',axiom,
    'iso_register$j'('fmb_B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1') ).

tff('declare_complements$z',type,
    'complements$z': ( 'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$z',axiom,
    'complements$z'('fmb_A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1') ).

tff('declare_regular_register$h',type,
    'regular_register$h': 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > $o ).

tff('predicate_regular_register$h',axiom,
    ~ 'regular_register$h'('fmb_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$ay',type,
    'compatible$ay': ( 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$ay',axiom,
    'compatible$ay'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') ).

tff('declare_bij_betw$t',type,
    'bij_betw$t': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_set$' ) > $o ).

tff('predicate_bij_betw$t',axiom,
    'bij_betw$t'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$_1','fmb_B_ell2_b_ell2_cblinfun_set$_1') ).

tff('declare_bij_betw$ae',type,
    'bij_betw$ae': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_set$' ) > $o ).

tff('predicate_bij_betw$ae',axiom,
    'bij_betw$ae'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$_1','fmb_A_ell2_a_ell2_cblinfun_set$_1') ).

tff('declare_compatible$o',type,
    'compatible$o': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$o',axiom,
    'compatible$o'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_bij_betw$f',type,
    'bij_betw$f': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$' ) > $o ).

tff('predicate_bij_betw$f',axiom,
    'bij_betw$f'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$_1') ).

tff('declare_register$w',type,
    'register$w': 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$w',axiom,
    'register$w'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$_1') ).

tff('declare_register$d',type,
    'register$d': 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$d',axiom,
    'register$d'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_regular_register$g',type,
    'regular_register$g': 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > $o ).

tff('predicate_regular_register$g',axiom,
    ~ 'regular_register$g'('fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$ag',type,
    'compatible$ag': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$ag',axiom,
    ~ 'compatible$ag'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$c',type,
    'equivalent_registers$c': ( 'A_b_complement_domain_b_complement_domain_ell2_a_b_complement_domain_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$c',axiom,
    'equivalent_registers$c'('fmb_A_b_complement_domain_b_complement_domain_ell2_a_b_complement_domain_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_member$c',type,
    'member$c': ( 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$' * 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$' ) > $o ).

tff('predicate_member$c',axiom,
    'member$c'('fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$_1','fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$_1') ).

tff('declare_compatible$ac',type,
    'compatible$ac': ( 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$ac',axiom,
    ~ 'compatible$ac'('fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_complements$x',type,
    'complements$x': ( 'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' * 'C_b_complement_domain_c_b_complement_domain_prod_ell2_c_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$x',axiom,
    'complements$x'('fmb_C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1','fmb_C_b_complement_domain_c_b_complement_domain_prod_ell2_c_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$as',type,
    'compatible$as': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$as',axiom,
    'compatible$as'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$ae',type,
    'compatible$ae': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$ae',axiom,
    ~ 'compatible$ae'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_complements$m',type,
    'complements$m': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$m',axiom,
    'complements$m'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_iso_register$z',type,
    'iso_register$z': 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > $o ).

tff('predicate_iso_register$z',axiom,
    'iso_register$z'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$j',type,
    'equivalent_registers$j': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$j',axiom,
    ~ 'equivalent_registers$j'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_register$ae',type,
    'register$ae': 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$ae',axiom,
    'register$ae'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$ad',type,
    'equivalent_registers$ad': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$ad',axiom,
    ~ 'equivalent_registers$ad'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$an',type,
    'equivalent_registers$an': ( 'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$an',axiom,
    'equivalent_registers$an'('fmb_A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_iso_register$q',type,
    'iso_register$q': 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' > $o ).

tff('predicate_iso_register$q',axiom,
    'iso_register$q'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') ).

tff('declare_regular_register$f',type,
    'regular_register$f': 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > $o ).

tff('predicate_regular_register$f',axiom,
    ~ 'regular_register$f'('fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') ).

tff('declare_bij_betw$aa',type,
    'bij_betw$aa': ( 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_set$' ) > $o ).

tff('predicate_bij_betw$aa',axiom,
    'bij_betw$aa'('fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_set$_1','fmb_A_ell2_a_ell2_cblinfun_set$_1') ).

tff('declare_fun_app$be',type,
    'fun_app$be': ( 'B_ell2_b_ell2_cblinfun_bool_fun$' * 'B_ell2_b_ell2_cblinfun$' ) > $o ).

tff('predicate_fun_app$be',axiom,
    'fun_app$be'('fmb_B_ell2_b_ell2_cblinfun_bool_fun$_1','fmb_B_ell2_b_ell2_cblinfun$_1') ).

tff('declare_equivalent_registers$',type,
    'equivalent_registers$': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$',axiom,
    'equivalent_registers$'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$b',type,
    'compatible$b': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$b',axiom,
    'compatible$b'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_bij_betw$ac',type,
    'bij_betw$ac': ( 'A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$' ) > $o ).

tff('predicate_bij_betw$ac',axiom,
    'bij_betw$ac'('fmb_A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_set$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$_1') ).

tff('declare_compatible$j',type,
    'compatible$j': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$j',axiom,
    'compatible$j'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_complements$ae',type,
    'complements$ae': ( 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$ae',axiom,
    ~ 'complements$ae'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') ).

tff('declare_register$ak',type,
    'register$ak': 'C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$ak',axiom,
    'register$ak'('fmb_C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') ).

tff('declare_complements$o',type,
    'complements$o': ( 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$o',axiom,
    'complements$o'('fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$af',type,
    'equivalent_registers$af': ( 'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$af',axiom,
    'equivalent_registers$af'('fmb_B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') ).

tff('declare_iso_register$w',type,
    'iso_register$w': 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).

tff('predicate_iso_register$w',axiom,
    'iso_register$w'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$p',type,
    'equivalent_registers$p': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$p',axiom,
    ~ 'equivalent_registers$p'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_register$r',type,
    'register$r': 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$r',axiom,
    ~ 'register$r'('fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$m',type,
    'equivalent_registers$m': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$m',axiom,
    'equivalent_registers$m'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_complements$l',type,
    'complements$l': ( 'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$l',axiom,
    'complements$l'('fmb_B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') ).

tff('declare_register$e',type,
    'register$e': 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$e',axiom,
    'register$e'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$ay',type,
    'equivalent_registers$ay': ( 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$ay',axiom,
    'equivalent_registers$ay'('fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_register$ac',type,
    'register$ac': 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$ac',axiom,
    'register$ac'('fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1') ).

tff('declare_iso_register$b',type,
    'iso_register$b': 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).

tff('predicate_iso_register$b',axiom,
    'iso_register$b'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_register$al',type,
    'register$al': 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$al',axiom,
    ~ 'register$al'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') ).

tff('declare_iso_register$',type,
    'iso_register$': 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' > $o ).

tff('predicate_iso_register$',axiom,
    'iso_register$'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$a',type,
    'compatible$a': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$a',axiom,
    'compatible$a'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$ah',type,
    'compatible$ah': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$ah',axiom,
    ~ 'compatible$ah'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$ba',type,
    'compatible$ba': ( 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$ba',axiom,
    ~ 'compatible$ba'('fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_bij_betw$z',type,
    'bij_betw$z': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_set$' ) > $o ).

tff('predicate_bij_betw$z',axiom,
    'bij_betw$z'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_set$_1','fmb_B_ell2_b_ell2_cblinfun_set$_1') ).

tff('declare_bij_betw$r',type,
    'bij_betw$r': ( 'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$' ) > $o ).

tff('predicate_bij_betw$r',axiom,
    'bij_betw$r'('fmb_B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_set$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$_1') ).

tff('declare_register$ao',type,
    'register$ao': 'C_ell2_c_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$ao',axiom,
    'register$ao'('fmb_C_ell2_c_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1') ).

tff('declare_bij_betw$i',type,
    'bij_betw$i': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set$' ) > $o ).

tff('predicate_bij_betw$i',axiom,
    ~ 'bij_betw$i'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set$_1') ).

tff('declare_register$ah',type,
    'register$ah': 'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$ah',axiom,
    'register$ah'('fmb_C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') ).

tff('declare_register$b',type,
    'register$b': 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$b',axiom,
    ~ 'register$b'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$au',type,
    'equivalent_registers$au': ( 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$au',axiom,
    'equivalent_registers$au'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$ab',type,
    'compatible$ab': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$ab',axiom,
    'compatible$ab'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_complements$g',type,
    'complements$g': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$g',axiom,
    'complements$g'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$aq',type,
    'equivalent_registers$aq': ( 'A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$aq',axiom,
    'equivalent_registers$aq'('fmb_A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_fun_app$ba',type,
    'fun_app$ba': ( 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_bool_fun$' * 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$' ) > $o ).

tff('predicate_fun_app$ba',axiom,
    'fun_app$ba'('fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_bool_fun$_1','fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$_1') ).

tff('declare_complements$v',type,
    'complements$v': ( 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' * 'A_b_complement_domain_c_b_complement_domain_prod_ell2_a_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$v',axiom,
    'complements$v'('fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_c_b_complement_domain_prod_ell2_a_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1') ).

tff('declare_iso_register$ac',type,
    'iso_register$ac': 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > $o ).

tff('predicate_iso_register$ac',axiom,
    ~ 'iso_register$ac'('fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$',type,
    'compatible$': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$',axiom,
    'compatible$'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_complements$f',type,
    'complements$f': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$f',axiom,
    'complements$f'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_register$ai',type,
    'register$ai': 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$ai',axiom,
    'register$ai'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') ).

tff('declare_bij_betw$e',type,
    'bij_betw$e': ( 'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$' ) > $o ).

tff('predicate_bij_betw$e',axiom,
    'bij_betw$e'('fmb_B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_set$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$_1') ).

tff('declare_compatible$ai',type,
    'compatible$ai': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$ai',axiom,
    'compatible$ai'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_register$c',type,
    'register$c': 'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$c',axiom,
    ~ 'register$c'('fmb_B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') ).

tff('declare_complements$af',type,
    'complements$af': ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$af',axiom,
    ~ 'complements$af'('fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') ).

tff('declare_iso_register$h',type,
    'iso_register$h': 'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' > $o ).

tff('predicate_iso_register$h',axiom,
    'iso_register$h'('fmb_C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') ).

tff('declare_complements$aa',type,
    'complements$aa': ( 'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' * 'A_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$aa',axiom,
    'complements$aa'('fmb_A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1') ).

tff('declare_register$j',type,
    'register$j': 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$j',axiom,
    ~ 'register$j'('fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$d',type,
    'compatible$d': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$d',axiom,
    'compatible$d'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_complements$ai',type,
    'complements$ai': ( 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$ai',axiom,
    ~ 'complements$ai'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') ).

tff('declare_register$k',type,
    'register$k': 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$k',axiom,
    'register$k'('fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$o',type,
    'equivalent_registers$o': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$o',axiom,
    'equivalent_registers$o'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$ap',type,
    'compatible$ap': ( 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$ap',axiom,
    'compatible$ap'('fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_fun_app$bb',type,
    'fun_app$bb': ( 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun$' * 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$' ) > $o ).

tff('predicate_fun_app$bb',axiom,
    'fun_app$bb'('fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun$_1','fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$_1') ).

tff('declare_bij_betw$',type,
    'bij_betw$': ( 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_set$' ) > $o ).

tff('predicate_bij_betw$',axiom,
    'bij_betw$'('fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$_1','fmb_B_ell2_b_ell2_cblinfun_set$_1') ).

tff('declare_register$am',type,
    'register$am': 'C_ell2_c_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$am',axiom,
    ~ 'register$am'('fmb_C_ell2_c_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$_1') ).

tff('declare_complements$j',type,
    'complements$j': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$j',axiom,
    'complements$j'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_iso_register$g',type,
    'iso_register$g': 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).

tff('predicate_iso_register$g',axiom,
    'iso_register$g'('fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$ag',type,
    'equivalent_registers$ag': ( 'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$ag',axiom,
    'equivalent_registers$ag'('fmb_B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$al',type,
    'compatible$al': ( 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$al',axiom,
    'compatible$al'('fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$an',type,
    'compatible$an': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$an',axiom,
    'compatible$an'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_bij_betw$x',type,
    'bij_betw$x': ( 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' * 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$' * 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$' ) > $o ).

tff('predicate_bij_betw$x',axiom,
    ~ 'bij_betw$x'('fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$_1','fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$_1') ).

tff('declare_equivalent_registers$w',type,
    'equivalent_registers$w': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$w',axiom,
    ~ 'equivalent_registers$w'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_iso_register$ag',type,
    'iso_register$ag': 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > $o ).

tff('predicate_iso_register$ag',axiom,
    ~ 'iso_register$ag'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') ).

tff('declare_iso_register$ae',type,
    'iso_register$ae': 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > $o ).

tff('predicate_iso_register$ae',axiom,
    ~ 'iso_register$ae'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') ).

tff('declare_complements$ac',type,
    'complements$ac': ( 'A_c_prod_a_c_prod_prod_ell2_a_c_prod_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$ac',axiom,
    'complements$ac'('fmb_A_c_prod_a_c_prod_prod_ell2_a_c_prod_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1') ).

tff('declare_complements$d',type,
    'complements$d': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$d',axiom,
    'complements$d'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$v',type,
    'equivalent_registers$v': ( 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$v',axiom,
    ~ 'equivalent_registers$v'('fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_complements$e',type,
    'complements$e': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$e',axiom,
    'complements$e'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_complements$b',type,
    'complements$b': ( 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$b',axiom,
    'complements$b'('fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_bij_betw$w',type,
    'bij_betw$w': ( 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$' ) > $o ).

tff('predicate_bij_betw$w',axiom,
    'bij_betw$w'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$_1') ).

tff('declare_compatible$e',type,
    'compatible$e': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$e',axiom,
    'compatible$e'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') ).

tff('declare_register$af',type,
    'register$af': 'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$af',axiom,
    'register$af'('fmb_C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun$_1') ).

tff('declare_complements$t',type,
    'complements$t': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$t',axiom,
    ~ 'complements$t'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_bij_betw$n',type,
    'bij_betw$n': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$' * 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$' ) > $o ).

tff('predicate_bij_betw$n',axiom,
    'bij_betw$n'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$_1','fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$_1') ).

tff('declare_equivalent_registers$e',type,
    'equivalent_registers$e': ( 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$e',axiom,
    'equivalent_registers$e'('fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_bij_betw$v',type,
    'bij_betw$v': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$' ) > $o ).

tff('predicate_bij_betw$v',axiom,
    'bij_betw$v'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$_1') ).

tff('declare_compatible$au',type,
    'compatible$au': ( 'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$au',axiom,
    'compatible$au'('fmb_B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') ).

tff('declare_complements$i',type,
    'complements$i': ( 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$i',axiom,
    'complements$i'('fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_regular_register$d',type,
    'regular_register$d': 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > $o ).

tff('predicate_regular_register$d',axiom,
    ~ 'regular_register$d'('fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') ).

tff('declare_register$u',type,
    'register$u': 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$u',axiom,
    ~ 'register$u'('fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') ).

tff('declare_register$m',type,
    'register$m': 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$m',axiom,
    'register$m'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$v',type,
    'compatible$v': ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$v',axiom,
    ~ 'compatible$v'('fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') ).

tff('declare_register$t',type,
    'register$t': 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$t',axiom,
    ~ 'register$t'('fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') ).

tff('declare_register$a',type,
    'register$a': 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$a',axiom,
    'register$a'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_register$aa',type,
    'register$aa': 'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$aa',axiom,
    'register$aa'('fmb_C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$k',type,
    'equivalent_registers$k': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$k',axiom,
    'equivalent_registers$k'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$ai',type,
    'equivalent_registers$ai': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$ai',axiom,
    ~ 'equivalent_registers$ai'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$aq',type,
    'compatible$aq': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$aq',axiom,
    ~ 'compatible$aq'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_complements$ab',type,
    'complements$ab': ( 'C_a_c_prod_prod_ell2_c_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' * 'C_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_c_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$ab',axiom,
    'complements$ab'('fmb_C_a_c_prod_prod_ell2_c_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1','fmb_C_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_c_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$y',type,
    'equivalent_registers$y': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$y',axiom,
    'equivalent_registers$y'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$aj',type,
    'equivalent_registers$aj': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$aj',axiom,
    ~ 'equivalent_registers$aj'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$k',type,
    'compatible$k': ( 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$k',axiom,
    'compatible$k'('fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$i',type,
    'equivalent_registers$i': ( 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$i',axiom,
    'equivalent_registers$i'('fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$bb',type,
    'compatible$bb': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$bb',axiom,
    ~ 'compatible$bb'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_iso_register$e',type,
    'iso_register$e': 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).

tff('predicate_iso_register$e',axiom,
    'iso_register$e'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$af',type,
    'compatible$af': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$af',axiom,
    ~ 'compatible$af'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_register$z',type,
    'register$z': 'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$z',axiom,
    'register$z'('fmb_C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1') ).

tff('declare_iso_register$af',type,
    'iso_register$af': 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > $o ).

tff('predicate_iso_register$af',axiom,
    ~ 'iso_register$af'('fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$c',type,
    'compatible$c': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$c',axiom,
    'compatible$c'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$b',type,
    'equivalent_registers$b': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$b',axiom,
    'equivalent_registers$b'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_bij_betw$a',type,
    'bij_betw$a': ( 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_set$' ) > $o ).

tff('predicate_bij_betw$a',axiom,
    'bij_betw$a'('fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_set$_1','fmb_B_ell2_b_ell2_cblinfun_set$_1') ).

tff('declare_equivalent_registers$n',type,
    'equivalent_registers$n': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$n',axiom,
    ~ 'equivalent_registers$n'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_iso_register$m',type,
    'iso_register$m': 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' > $o ).

tff('predicate_iso_register$m',axiom,
    ~ 'iso_register$m'('fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$n',type,
    'compatible$n': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$n',axiom,
    'compatible$n'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$i',type,
    'compatible$i': ( 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$i',axiom,
    'compatible$i'('fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_iso_register$k',type,
    'iso_register$k': 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).

tff('predicate_iso_register$k',axiom,
    ~ 'iso_register$k'('fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$ao',type,
    'compatible$ao': ( 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$ao',axiom,
    'compatible$ao'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_register$s',type,
    'register$s': 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$s',axiom,
    ~ 'register$s'('fmb_B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$z',type,
    'compatible$z': ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$z',axiom,
    ~ 'compatible$z'('fmb_A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') ).

tff('declare_bij_betw$m',type,
    'bij_betw$m': ( 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_set$' ) > $o ).

tff('predicate_bij_betw$m',axiom,
    'bij_betw$m'('fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$_1','fmb_B_ell2_b_ell2_cblinfun_set$_1') ).

tff('declare_iso_register$s',type,
    'iso_register$s': 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' > $o ).

tff('predicate_iso_register$s',axiom,
    'iso_register$s'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$ad',type,
    'compatible$ad': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$ad',axiom,
    ~ 'compatible$ad'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$ab',type,
    'equivalent_registers$ab': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$ab',axiom,
    'equivalent_registers$ab'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$a',type,
    'equivalent_registers$a': ( 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$a',axiom,
    'equivalent_registers$a'('fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_iso_register$l',type,
    'iso_register$l': 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' > $o ).

tff('predicate_iso_register$l',axiom,
    ~ 'iso_register$l'('fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$bb',type,
    'equivalent_registers$bb': ( 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$bb',axiom,
    'equivalent_registers$bb'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$u',type,
    'equivalent_registers$u': ( 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$u',axiom,
    'equivalent_registers$u'('fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_iso_register$x',type,
    'iso_register$x': 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' > $o ).

tff('predicate_iso_register$x',axiom,
    ~ 'iso_register$x'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$ax',type,
    'compatible$ax': ( 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$ax',axiom,
    ~ 'compatible$ax'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') ).

tff('declare_iso_register$f',type,
    'iso_register$f': 'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' > $o ).

tff('predicate_iso_register$f',axiom,
    'iso_register$f'('fmb_B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$at',type,
    'compatible$at': ( 'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$at',axiom,
    ~ 'compatible$at'('fmb_B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') ).

tff('declare_regular_register$a',type,
    'regular_register$a': 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).

tff('predicate_regular_register$a',axiom,
    'regular_register$a'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_bij_betw$h',type,
    'bij_betw$h': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_set$' ) > $o ).

tff('predicate_bij_betw$h',axiom,
    'bij_betw$h'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set$_1','fmb_B_ell2_b_ell2_cblinfun_set$_1') ).

tff('declare_compatible$g',type,
    'compatible$g': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$g',axiom,
    'compatible$g'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_iso_register$v',type,
    'iso_register$v': 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).

tff('predicate_iso_register$v',axiom,
    ~ 'iso_register$v'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_register$',type,
    'register$': 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$',axiom,
    'register$'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_member$d',type,
    'member$d': ( 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$' * 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$' ) > $o ).

tff('predicate_member$d',axiom,
    'member$d'('fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$_1','fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$_1') ).

tff('declare_bij_betw$g',type,
    'bij_betw$g': ( 'B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set$' ) > $o ).

tff('predicate_bij_betw$g',axiom,
    ~ 'bij_betw$g'('fmb_B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_set$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set$_1') ).

tff('declare_complements$h',type,
    'complements$h': ( 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$h',axiom,
    'complements$h'('fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$ak',type,
    'compatible$ak': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$ak',axiom,
    'compatible$ak'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_bij_betw$y',type,
    'bij_betw$y': ( 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_set$' ) > $o ).

tff('predicate_bij_betw$y',axiom,
    'bij_betw$y'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_set$_1','fmb_A_ell2_a_ell2_cblinfun_set$_1') ).

tff('declare_equivalent_registers$r',type,
    'equivalent_registers$r': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$r',axiom,
    'equivalent_registers$r'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$g',type,
    'equivalent_registers$g': ( 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$g',axiom,
    'equivalent_registers$g'('fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$ao',type,
    'equivalent_registers$ao': ( 'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$ao',axiom,
    'equivalent_registers$ao'('fmb_A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_member$e',type,
    'member$e': ( 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$' ) > $o ).

tff('predicate_member$e',axiom,
    'member$e'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$_1') ).

tff('declare_bij_betw$o',type,
    'bij_betw$o': ( 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$' ) > $o ).

tff('predicate_bij_betw$o',axiom,
    'bij_betw$o'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$_1') ).

tff('declare_equivalent_registers$f',type,
    'equivalent_registers$f': ( 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$f',axiom,
    'equivalent_registers$f'('fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_iso_register$r',type,
    'iso_register$r': 'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' > $o ).

tff('predicate_iso_register$r',axiom,
    'iso_register$r'('fmb_B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') ).

tff('declare_register$f',type,
    'register$f': 'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$f',axiom,
    'register$f'('fmb_C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') ).

tff('declare_bij_betw$d',type,
    'bij_betw$d': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_set$' ) > $o ).

tff('predicate_bij_betw$d',axiom,
    'bij_betw$d'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$_1','fmb_B_ell2_b_ell2_cblinfun_set$_1') ).

tff('declare_register$ag',type,
    'register$ag': 'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$ag',axiom,
    'register$ag'('fmb_C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun$_1') ).

tff('declare_bij_betw$b',type,
    'bij_betw$b': ( 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_set$' ) > $o ).

tff('predicate_bij_betw$b',axiom,
    'bij_betw$b'('fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$_1','fmb_B_ell2_b_ell2_cblinfun_set$_1') ).

tff('declare_compatible$s',type,
    'compatible$s': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$s',axiom,
    'compatible$s'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_fun_app$bc',type,
    'fun_app$bc': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_bool_fun$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$' ) > $o ).

tff('predicate_fun_app$bc',axiom,
    'fun_app$bc'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_bool_fun$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$_1') ).

tff('declare_iso_register$u',type,
    'iso_register$u': 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).

tff('predicate_iso_register$u',axiom,
    ~ 'iso_register$u'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_register$aj',type,
    'register$aj': 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$aj',axiom,
    ~ 'register$aj'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1') ).

tff('declare_regular_register$i',type,
    'regular_register$i': 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).

tff('predicate_regular_register$i',axiom,
    'regular_register$i'('fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$h',type,
    'compatible$h': ( 'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$h',axiom,
    'compatible$h'('fmb_C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') ).

tff('declare_register$v',type,
    'register$v': 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$v',axiom,
    ~ 'register$v'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') ).

tff('declare_iso_register$c',type,
    'iso_register$c': 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).

tff('predicate_iso_register$c',axiom,
    ~ 'iso_register$c'('fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$ap',type,
    'equivalent_registers$ap': ( 'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$ap',axiom,
    'equivalent_registers$ap'('fmb_A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$r',type,
    'compatible$r': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$r',axiom,
    'compatible$r'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$p',type,
    'compatible$p': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$p',axiom,
    'compatible$p'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_register$y',type,
    'register$y': 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$y',axiom,
    ~ 'register$y'('fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$bc',type,
    'equivalent_registers$bc': ( 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$bc',axiom,
    'equivalent_registers$bc'('fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_register$ap',type,
    'register$ap': 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$ap',axiom,
    ~ 'register$ap'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$l',type,
    'equivalent_registers$l': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$l',axiom,
    ~ 'equivalent_registers$l'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$h',type,
    'equivalent_registers$h': ( 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$h',axiom,
    ~ 'equivalent_registers$h'('fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_iso_register$t',type,
    'iso_register$t': 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).

tff('predicate_iso_register$t',axiom,
    ~ 'iso_register$t'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$x',type,
    'equivalent_registers$x': ( 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$x',axiom,
    'equivalent_registers$x'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$ak',type,
    'equivalent_registers$ak': ( 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$ak',axiom,
    'equivalent_registers$ak'('fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$aj',type,
    'compatible$aj': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$aj',axiom,
    'compatible$aj'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$w',type,
    'compatible$w': ( 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$w',axiom,
    ~ 'compatible$w'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') ).

tff('declare_complements$u',type,
    'complements$u': ( 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' * 'A_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$u',axiom,
    'complements$u'('fmb_A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$_1') ).

tff('declare_regular_register$',type,
    'regular_register$': 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).

tff('predicate_regular_register$',axiom,
    'regular_register$'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$t',type,
    'equivalent_registers$t': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$t',axiom,
    'equivalent_registers$t'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_iso_register$p',type,
    'iso_register$p': 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' > $o ).

tff('predicate_iso_register$p',axiom,
    'iso_register$p'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') ).

tff('declare_complements$n',type,
    'complements$n': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$n',axiom,
    'complements$n'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$q',type,
    'compatible$q': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$q',axiom,
    'compatible$q'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$aa',type,
    'compatible$aa': ( 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$aa',axiom,
    ~ 'compatible$aa'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$av',type,
    'equivalent_registers$av': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$av',axiom,
    'equivalent_registers$av'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_bij_betw$u',type,
    'bij_betw$u': ( 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' * 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$' * 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$' ) > $o ).

tff('predicate_bij_betw$u',axiom,
    'bij_betw$u'('fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1','fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$_1','fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$_1') ).

tff('declare_iso_register$n',type,
    'iso_register$n': 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' > $o ).

tff('predicate_iso_register$n',axiom,
    ~ 'iso_register$n'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$am',type,
    'compatible$am': ( 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$am',axiom,
    ~ 'compatible$am'('fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$az',type,
    'equivalent_registers$az': ( 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$az',axiom,
    'equivalent_registers$az'('fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$ax',type,
    'equivalent_registers$ax': ( 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$ax',axiom,
    'equivalent_registers$ax'('fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_complements$a',type,
    'complements$a': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$a',axiom,
    'complements$a'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_register$as',type,
    'register$as': 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$as',axiom,
    'register$as'('fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$al',type,
    'equivalent_registers$al': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$al',axiom,
    'equivalent_registers$al'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_register$an',type,
    'register$an': 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$an',axiom,
    ~ 'register$an'('fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') ).

tff('declare_bij_betw$k',type,
    'bij_betw$k': ( 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' * 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$' * 'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$' ) > $o ).

tff('predicate_bij_betw$k',axiom,
    'bij_betw$k'('fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$_1','fmb_C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$_1') ).

tff('declare_iso_register$y',type,
    'iso_register$y': 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' > $o ).

tff('predicate_iso_register$y',axiom,
    ~ 'iso_register$y'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1') ).

tff('declare_iso_register$i',type,
    'iso_register$i': 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).

tff('predicate_iso_register$i',axiom,
    ~ 'iso_register$i'('fmb_B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_complements$c',type,
    'complements$c': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$c',axiom,
    'complements$c'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_register$i',type,
    'register$i': 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$i',axiom,
    'register$i'('fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$as',type,
    'equivalent_registers$as': ( 'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$as',axiom,
    'equivalent_registers$as'('fmb_A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_iso_register$aa',type,
    'iso_register$aa': 'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun$' > $o ).

tff('predicate_iso_register$aa',axiom,
    'iso_register$aa'('fmb_C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') ).

tff('declare_regular_register$c',type,
    'regular_register$c': 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > $o ).

tff('predicate_regular_register$c',axiom,
    ~ 'regular_register$c'('fmb_B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') ).

tff('declare_complements$s',type,
    'complements$s': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$s',axiom,
    ~ 'complements$s'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$s',type,
    'equivalent_registers$s': ( 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$s',axiom,
    'equivalent_registers$s'('fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_register$l',type,
    'register$l': 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$l',axiom,
    'register$l'('fmb_A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_register$h',type,
    'register$h': 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$h',axiom,
    'register$h'('fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_register$q',type,
    'register$q': 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$q',axiom,
    'register$q'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') ).

tff('declare_member$a',type,
    'member$a': ( 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$' ) > $o ).

tff('predicate_member$a',axiom,
    'member$a'('fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$_1') ).

tff('declare_equivalent_registers$z',type,
    'equivalent_registers$z': ( 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$z',axiom,
    'equivalent_registers$z'('fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$aw',type,
    'equivalent_registers$aw': ( 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$aw',axiom,
    'equivalent_registers$aw'('fmb_A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_iso_register$o',type,
    'iso_register$o': 'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' > $o ).

tff('predicate_iso_register$o',axiom,
    'iso_register$o'('fmb_B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$_1') ).

tff('declare_register$x',type,
    'register$x': 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$x',axiom,
    'register$x'('fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') ).

tff('declare_equivalent_registers$aa',type,
    'equivalent_registers$aa': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$aa',axiom,
    'equivalent_registers$aa'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_iso_register$d',type,
    'iso_register$d': 'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).

tff('predicate_iso_register$d',axiom,
    'iso_register$d'('fmb_C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_compatible$t',type,
    'compatible$t': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_compatible$t',axiom,
    'compatible$t'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_register$n',type,
    'register$n': 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$n',axiom,
    'register$n'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_complements$p',type,
    'complements$p': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$p',axiom,
    'complements$p'('fmb_A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_bij_betw$j',type,
    'bij_betw$j': ( 'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' * 'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$' ) > $o ).

tff('predicate_bij_betw$j',axiom,
    'bij_betw$j'('fmb_B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$_1','fmb_B_ell2_b_ell2_cblinfun_set$_1','fmb_A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$_1') ).

tff('declare_equivalent_registers$ae',type,
    'equivalent_registers$ae': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' * 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_equivalent_registers$ae',axiom,
    ~ 'equivalent_registers$ae'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1','fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$_1') ).

tff('declare_register$ab',type,
    'register$ab': 'C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$ab',axiom,
    'register$ab'('fmb_C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$_1') ).

tff('declare_register$p',type,
    'register$p': 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > $o ).

tff('predicate_register$p',axiom,
    ~ 'register$p'('fmb_C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$_1') ).

tff('declare_regular_register$e',type,
    'regular_register$e': 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > $o ).

tff('predicate_regular_register$e',axiom,
    'regular_register$e'('fmb_A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') ).

tff('declare_complements$q',type,
    'complements$q': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$q',axiom,
    'complements$q'('fmb_C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_member$',type,
    'member$': ( 'B_ell2_b_ell2_cblinfun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > $o ).

tff('predicate_member$',axiom,
    'member$'('fmb_B_ell2_b_ell2_cblinfun$_1','fmb_B_ell2_b_ell2_cblinfun_set$_1') ).

tff('declare_complements$k',type,
    'complements$k': ( 'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$k',axiom,
    'complements$k'('fmb_C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1','fmb_A_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_1') ).

tff('declare_complements$ag',type,
    'complements$ag': ( 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > $o ).

tff('predicate_complements$ag',axiom,
    ~ 'complements$ag'('fmb_C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1','fmb_C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$_1') ).

tff('declare_fun_app$bd',type,
    'fun_app$bd': ( 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun$' * 'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$' ) > $o ).

tff('predicate_fun_app$bd',axiom,
    'fun_app$bd'('fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun$_1','fmb_A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$_1') ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP399_10 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41  % Computer : n026.cluster.edu
% 0.11/0.41  % Model    : x86_64 x86_64
% 0.11/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.41  % Memory   : 8046.5625MB
% 0.11/0.41  % OS       : Linux 6.8.0-71-generic
% 0.11/0.41  % CPULimit : 300
% 0.11/0.41  % WCLimit  : 300
% 0.11/0.41  % DateTime : Sun Sep 27 13:00:12 UTC 2026
% 0.11/0.41  % CPUTime  : 
% 0.11/0.41  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.44  Running first-order model finding
% 0.11/0.44  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.94/2.11  % (2824640)Will run a generic schedule for satisfiability detection.
% 10.94/2.11  % (2824648)dis+10_1_sil=32000:sp=arity:random_seed=276394939:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 10.94/2.11  % (2824646)% WARNING: option uhcvi not known.
% 10.94/2.11  % (2824645)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1878244331_2999 on theBenchmark for (2999ds/0Mi)
% 10.94/2.11  % (2824646)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1411586894:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 10.94/2.11  % (2824647)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2309008190:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 10.94/2.11  % (2824649)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=80791501:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 10.94/2.11  % (2824650)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2664070455:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 10.94/2.11  % (2824651)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=465419972:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 10.94/2.11  % (2824648)Instruction limit reached! 
% 10.94/2.11  % (2824648)------------------------------
% 10.94/2.11  % (2824648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.94/2.11  % (2824648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/2.11  % (2824648)CaDiCaL version: 2.1.3
% 10.94/2.11  % (2824648)Termination reason: Instruction limit
% 10.94/2.11  % (2824648)Termination phase: Saturation
% 10.94/2.11  % (2824648)Time elapsed: 0.038 s
% 10.94/2.11  % (2824648)Peak memory usage: 14 MB
% 10.94/2.11  % (2824648)Instructions burned: 105 (million)
% 10.94/2.11  % (2824659)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1294143010:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 10.94/2.11  % (2824649)Instruction limit reached! 
% 10.94/2.11  % (2824649)------------------------------
% 10.94/2.11  % (2824649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.94/2.11  % (2824649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/2.11  % (2824649)CaDiCaL version: 2.1.3
% 10.94/2.11  % (2824649)Termination reason: Instruction limit
% 10.94/2.11  % (2824649)Termination phase: Saturation
% 10.94/2.11  % (2824649)Time elapsed: 0.073 s
% 10.94/2.11  % (2824649)Peak memory usage: 15 MB
% 10.94/2.11  % (2824649)Instructions burned: 117 (million)
% 10.94/2.11  % (2824650)Instruction limit reached! 
% 10.94/2.11  % (2824650)------------------------------
% 10.94/2.11  % (2824650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.94/2.11  % (2824650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/2.11  % (2824650)CaDiCaL version: 2.1.3
% 10.94/2.11  % (2824650)Termination reason: Instruction limit
% 10.94/2.11  % (2824650)Termination phase: Saturation
% 10.94/2.11  % (2824650)Time elapsed: 0.078 s
% 10.94/2.11  % (2824650)Peak memory usage: 15 MB
% 10.94/2.11  % (2824650)Instructions burned: 131 (million)
% 10.94/2.11  % (2824661)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=980224799:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 10.94/2.11  % (2824662)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=593690712:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 10.94/2.11  % (2824651)Instruction limit reached! 
% 10.94/2.11  % (2824651)------------------------------
% 10.94/2.11  % (2824651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.94/2.11  % (2824651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/2.11  % (2824651)CaDiCaL version: 2.1.3
% 10.94/2.11  % (2824651)Termination reason: Instruction limit
% 10.94/2.11  % (2824651)Termination phase: Saturation
% 10.94/2.11  % (2824651)Time elapsed: 0.115 s
% 10.94/2.11  % (2824651)Peak memory usage: 15 MB
% 10.94/2.11  % (2824651)Instructions burned: 160 (million)
% 10.94/2.11  % (2824671)ott-21_1_sil=16000:fs=off:random_seed=1176321936:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 10.94/2.11  % (2824661)Instruction limit reached! 
% 10.94/2.11  % (2824661)------------------------------
% 10.94/2.11  % (2824661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.94/2.11  % (2824661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/2.11  % (2824661)CaDiCaL version: 2.1.3
% 10.94/2.11  % (2824661)Termination reason: Instruction limit
% 10.94/2.11  % (2824661)Termination phase: Saturation
% 10.94/2.11  % (2824661)Time elapsed: 0.081 s
% 10.94/2.11  % (2824661)Peak memory usage: 15 MB
% 10.94/2.11  % (2824661)Instructions burned: 132 (million)
% 10.94/2.11  % (2824680)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=117332653:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 10.94/2.11  % (2824659)Instruction limit reached! 
% 10.94/2.11  % (2824659)------------------------------
% 10.94/2.11  % (2824659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.94/2.11  % (2824659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/2.11  % (2824659)CaDiCaL version: 2.1.3
% 10.94/2.11  % (2824659)Termination reason: Instruction limit
% 10.94/2.11  % (2824659)Termination phase: Finite model building preprocessing
% 10.94/2.11  % (2824659)Time elapsed: 0.158 s
% 10.94/2.11  % (2824659)Peak memory usage: 15 MB
% 10.94/2.11  % (2824659)Instructions burned: 714 (million)
% 10.94/2.11  % (2824682)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=245415290:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 10.94/2.11  % (2824671)Instruction limit reached! 
% 10.94/2.11  % (2824671)------------------------------
% 10.94/2.11  % (2824671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.94/2.11  % (2824671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/2.11  % (2824671)CaDiCaL version: 2.1.3
% 10.94/2.11  % (2824671)Termination reason: Instruction limit
% 10.94/2.11  % (2824671)Termination phase: Saturation
% 10.94/2.11  % (2824671)Time elapsed: 0.083 s
% 10.94/2.11  % (2824671)Peak memory usage: 14 MB
% 10.94/2.11  % (2824671)Instructions burned: 181 (million)
% 10.94/2.11  % (2824684)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=974150236:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 10.94/2.11  % (2824682)Instruction limit reached! 
% 10.94/2.11  % (2824682)------------------------------
% 10.94/2.11  % (2824682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.94/2.11  % (2824682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/2.11  % (2824682)CaDiCaL version: 2.1.3
% 10.94/2.11  % (2824682)Termination reason: Instruction limit
% 10.94/2.11  % (2824682)Termination phase: Finite model building preprocessing
% 10.94/2.11  % (2824682)Time elapsed: 0.187 s
% 10.94/2.11  % (2824682)Peak memory usage: 19 MB
% 10.94/2.11  % (2824682)Instructions burned: 866 (million)
% 10.94/2.11  % (2824686)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=698917762:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 10.94/2.11  % (2824680)Instruction limit reached! 
% 10.94/2.11  % (2824680)------------------------------
% 10.94/2.11  % (2824680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.94/2.11  % (2824680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/2.11  % (2824680)CaDiCaL version: 2.1.3
% 10.94/2.11  % (2824680)Termination reason: Instruction limit
% 10.94/2.11  % (2824680)Termination phase: Saturation
% 10.94/2.11  % (2824680)Time elapsed: 0.293 s
% 10.94/2.11  % (2824680)Peak memory usage: 16 MB
% 10.94/2.11  % (2824680)Instructions burned: 478 (million)
% 10.94/2.11  % (2824688)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=792123580:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 10.94/2.11  % (2824662)Instruction limit reached! 
% 10.94/2.11  % (2824662)------------------------------
% 10.94/2.11  % (2824662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.94/2.11  % (2824662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/2.11  % (2824662)CaDiCaL version: 2.1.3
% 10.94/2.11  % (2824662)Termination reason: Instruction limit
% 10.94/2.11  % (2824662)Termination phase: Saturation
% 10.94/2.11  % (2824662)Time elapsed: 0.485 s
% 10.94/2.11  % (2824662)Peak memory usage: 21 MB
% 10.94/2.11  % (2824662)Instructions burned: 686 (million)
% 10.94/2.11  % (2824686)Instruction limit reached! 
% 10.94/2.11  % (2824686)------------------------------
% 10.94/2.11  % (2824686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.94/2.11  % (2824686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/2.11  % (2824686)CaDiCaL version: 2.1.3
% 10.94/2.11  % (2824686)Termination reason: Instruction limit
% 10.94/2.11  % (2824686)Termination phase: Finite model building preprocessing
% 10.94/2.11  % (2824686)Time elapsed: 0.191 s
% 10.94/2.11  % (2824686)Peak memory usage: 18 MB
% 10.94/2.11  % (2824686)Instructions burned: 896 (million)
% 10.94/2.11  % (2824690)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=643947566:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 10.94/2.11  % (2824691)fmb+10_1_sil=64000:random_seed=2549924414:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 10.94/2.11  % (2824688)Instruction limit reached! 
% 10.94/2.11  % (2824688)------------------------------
% 10.94/2.11  % (2824688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.94/2.11  % (2824688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/2.11  % (2824688)CaDiCaL version: 2.1.3
% 10.94/2.11  % (2824688)Termination reason: Instruction limit
% 10.94/2.11  % (2824688)Termination phase: Saturation
% 10.94/2.11  % (2824688)Time elapsed: 0.530 s
% 10.94/2.11  % (2824688)Peak memory usage: 22 MB
% 10.94/2.11  % (2824688)Instructions burned: 692 (million)
% 10.94/2.11  % (2824709)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4130912863:i=9515:nm=5_2988 on theBenchmark for (2988ds/9515Mi)
% 10.94/2.11  % (2824684)Instruction limit reached! 
% 10.94/2.11  % (2824684)------------------------------
% 10.94/2.11  % (2824684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.94/2.11  % (2824684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/2.11  % (2824684)CaDiCaL version: 2.1.3
% 10.94/2.11  % (2824684)Termination reason: Instruction limit
% 10.94/2.11  % (2824684)Termination phase: Saturation
% 10.94/2.11  % (2824684)Time elapsed: 0.829 s
% 10.94/2.11  % (2824684)Peak memory usage: 31 MB
% 10.94/2.11  % (2824684)Instructions burned: 1179 (million)
% 10.94/2.11  % (2824711)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2935834291:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 10.94/2.11  % (2824690)Instruction limit reached! 
% 10.94/2.11  % (2824690)------------------------------
% 10.94/2.11  % (2824690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.94/2.11  % (2824690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/2.11  % (2824690)CaDiCaL version: 2.1.3
% 10.94/2.11  % (2824690)Termination reason: Instruction limit
% 10.94/2.11  % (2824690)Termination phase: Saturation
% 10.94/2.11  % (2824690)Time elapsed: 0.638 s
% 10.94/2.11  % (2824690)Peak memory usage: 19 MB
% 10.94/2.11  % (2824690)Instructions burned: 880 (million)
% 10.94/2.11  % (2824713)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1214091750:i=5131_2986 on theBenchmark for (2986ds/5131Mi)
% 10.94/2.11  % Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 10.94/2.11  % Detected maximum model sizes of [max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,1,max,max,max,1,max,max,max,max,max,1,max,1]
% 10.94/2.11  % TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 10.94/2.11  % Finite Model Found!
% 10.94/2.11  % SZS status Satisfiable for theBenchmark
% 10.94/2.11  % (2824691) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2824640-2824691"...
% 10.94/2.11  % (2824691)...printing done.
% 10.94/2.11  % SZS output start FiniteModel for theBenchmark
% See solution above
% 10.94/2.13  % (2824691)------------------------------
% 10.94/2.13  % (2824691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.94/2.13  % (2824691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/2.13  % (2824691)CaDiCaL version: 2.1.3
% 10.94/2.13  % (2824691)Termination reason: Satisfiable
% 10.94/2.13  % (2824691)Time elapsed: 0.950 s
% 10.94/2.13  % (2824691)Peak memory usage: 30 MB
% 10.94/2.13  % (2824691)Instructions burned: 3054 (million)
% 10.94/2.13  % (2824640)Success in time 1.671 s
% 10.94/2.13  % Vampire exiting
%------------------------------------------------------------------------------