%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : LCL942^2 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -P picomus -M modes -p tstp -t %d %s
% Computer : n019.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 : Mon Sep 7 12:27:55 PM UTC 2026
% Result : Theorem 1.15s 1.41s
% Output : Proof 0.16s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_mworld,type,
mworld: $tType ).
thf(ty_inv,type,
inv: $i > $i ).
thf(ty_mrel,type,
mrel: mworld > mworld > $o ).
thf(ty_eigen__0,type,
eigen__0: mworld ).
thf(ty_e2,type,
e2: $i ).
thf(ty_qmltpeq,type,
qmltpeq: $i > $i > mworld > $o ).
thf(ty_op,type,
op: $i > $i > $i ).
thf(ty_e1,type,
e1: $i ).
thf(ty_mactual,type,
mactual: mworld ).
thf(ty_e0,type,
e0: $i ).
thf(ty_unit,type,
unit: $i ).
thf(ty_e3,type,
e3: $i ).
thf(sP1,plain,
( sP1
<=> ! [X1: mworld] : ( mrel @ X1 @ X1 ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ( mrel @ eigen__0 @ eigen__0 )
=> ~ ( ( ! [X1: mworld] :
( ( mrel @ eigen__0 @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ eigen__0 @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ eigen__0 @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ eigen__0 @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ X1 ) ) ) ) )
=> ( ( ! [X1: mworld] :
( ( mrel @ eigen__0 @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ eigen__0 @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ eigen__0 @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ eigen__0 @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ X1 ) ) ) ) )
=> ( ( ! [X1: mworld] :
( ( mrel @ eigen__0 @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ eigen__0 @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ eigen__0 @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ eigen__0 @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ X1 ) ) ) ) )
=> ~ ( ! [X1: mworld] :
( ( mrel @ eigen__0 @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ eigen__0 @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ eigen__0 @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ eigen__0 @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ X1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( mrel @ eigen__0 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( ( ! [X1: mworld] :
( ( mrel @ eigen__0 @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ eigen__0 @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ eigen__0 @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ eigen__0 @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ X1 ) ) ) ) )
=> ( ( ! [X1: mworld] :
( ( mrel @ eigen__0 @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ eigen__0 @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ eigen__0 @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ eigen__0 @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ X1 ) ) ) ) )
=> ( ( ! [X1: mworld] :
( ( mrel @ eigen__0 @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ eigen__0 @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ eigen__0 @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ eigen__0 @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ X1 ) ) ) ) )
=> ~ ( ! [X1: mworld] :
( ( mrel @ eigen__0 @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ eigen__0 @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ eigen__0 @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ eigen__0 @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ X1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ! [X1: mworld] :
( ( mrel @ eigen__0 @ X1 )
=> ~ ( ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ X2 ) )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ X2 ) )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ X2 ) )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ X2 ) ) ) ) )
=> ( ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ X2 ) )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ X2 ) )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ X2 ) )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ X2 ) ) ) ) )
=> ( ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ X2 ) )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ X2 ) )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ X2 ) )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ X2 ) ) ) ) )
=> ~ ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ X2 ) )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ X2 ) )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ X2 ) )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ X2 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(def_mlocal,definition,
( mlocal
= ( ^ [X1: mworld > $o] : ( X1 @ mactual ) ) ) ).
thf(def_mnot,definition,
( mnot
= ( ^ [X1: mworld > $o,X2: mworld] : ( (~) @ ( X1 @ X2 ) ) ) ) ).
thf(def_mand,definition,
( mand
= ( ^ [X1: mworld > $o,X2: mworld > $o,X3: mworld] :
( ( X1 @ X3 )
& ( X2 @ X3 ) ) ) ) ).
thf(def_mor,definition,
( mor
= ( ^ [X1: mworld > $o,X2: mworld > $o,X3: mworld] :
( ( X1 @ X3 )
| ( X2 @ X3 ) ) ) ) ).
thf(def_mimplies,definition,
( mimplies
= ( ^ [X1: mworld > $o,X2: mworld > $o,X3: mworld] :
( ^ [X4: $o,X5: $o] :
( X4
=> X5 )
@ ( X1 @ X3 )
@ ( X2 @ X3 ) ) ) ) ).
thf(def_mequiv,definition,
( mequiv
= ( ^ [X1: mworld > $o,X2: mworld > $o,X3: mworld] :
( ( X1 @ X3 )
<=> ( X2 @ X3 ) ) ) ) ).
thf(def_mbox,definition,
( mbox
= ( ^ [X1: mworld > $o,X2: mworld] :
! [X3: mworld] :
( ^ [X4: $o,X5: $o] :
( X4
=> X5 )
@ ( mrel @ X2 @ X3 )
@ ( X1 @ X3 ) ) ) ) ).
thf(def_mdia,definition,
( mdia
= ( ^ [X1: mworld > $o,X2: mworld] :
? [X3: mworld] :
( ( mrel @ X2 @ X3 )
& ( X1 @ X3 ) ) ) ) ).
thf(def_mforall_di,definition,
( mforall_di
= ( ^ [X1: $i > mworld > $o,X2: mworld] :
! [X3: $i] : ( X1 @ X3 @ X2 ) ) ) ).
thf(def_mexists_di,definition,
( mexists_di
= ( ^ [X1: $i > mworld > $o,X2: mworld] :
? [X3: $i] : ( X1 @ X3 @ X2 ) ) ) ).
thf(co1,conjecture,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ( ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ X2 ) )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ X2 ) )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ X2 ) )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ X2 ) ) ) ) )
=> ( ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ X2 ) )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ X2 ) )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ X2 ) )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ X2 ) ) ) ) )
=> ( ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ X2 ) )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ X2 ) )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ X2 ) )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ X2 ) ) ) ) )
=> ~ ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ X2 ) )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ X2 ) )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ X2 ) )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ X2 ) ) ) ) ) ) ) )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ~ ( ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ X3 ) )
=> ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ X3 ) )
=> ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ X3 ) )
=> ~ ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ X3 ) ) ) ) )
=> ( ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ X3 ) )
=> ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ X3 ) )
=> ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ X3 ) )
=> ~ ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ X3 ) ) ) ) )
=> ( ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ X3 ) )
=> ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ X3 ) )
=> ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ X3 ) )
=> ~ ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ X3 ) ) ) ) )
=> ~ ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ X3 ) )
=> ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ X3 ) )
=> ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ X3 ) )
=> ~ ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ X3 ) ) ) ) ) ) ) ) ) ) ) ).
thf(h0,negated_conjecture,
~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ( ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ X2 ) )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ X2 ) )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ X2 ) )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ X2 ) ) ) ) )
=> ( ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ X2 ) )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ X2 ) )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ X2 ) )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ X2 ) ) ) ) )
=> ( ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ X2 ) )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ X2 ) )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ X2 ) )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ X2 ) ) ) ) )
=> ~ ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ X2 ) )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ X2 ) )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ X2 ) )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ X2 ) ) ) ) ) ) ) )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ~ ( ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ X3 ) )
=> ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ X3 ) )
=> ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ X3 ) )
=> ~ ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ X3 ) ) ) ) )
=> ( ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ X3 ) )
=> ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ X3 ) )
=> ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ X3 ) )
=> ~ ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ X3 ) ) ) ) )
=> ( ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ X3 ) )
=> ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ X3 ) )
=> ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ X3 ) )
=> ~ ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ X3 ) ) ) ) )
=> ~ ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ X3 ) )
=> ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ X3 ) )
=> ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ X3 ) )
=> ~ ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ X3 ) ) ) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
thf(h1,assumption,
~ ( ( mrel @ mactual @ eigen__0 )
=> ( sP4
=> ~ sP5 ) ),
introduced(assumption,[]) ).
thf(h2,assumption,
mrel @ mactual @ eigen__0,
introduced(assumption,[]) ).
thf(h3,assumption,
~ ( sP4
=> ~ sP5 ),
introduced(assumption,[]) ).
thf(h4,assumption,
sP4,
introduced(assumption,[]) ).
thf(h5,assumption,
sP5,
introduced(assumption,[]) ).
thf(h6,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ e0 @ ( op @ e3 @ e3 ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h7,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ e1 @ ( op @ e2 @ e3 ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h8,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ e0 @ e1 @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h9,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ e0 @ e2 @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ e0 @ e3 @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ e1 @ e2 @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ e1 @ e3 @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ e2 @ e3 @ X2 ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h10,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ e0 @ e2 @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h11,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ e0 @ e3 @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ e1 @ e2 @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ e1 @ e3 @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ e2 @ e3 @ X2 ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h12,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ e0 @ e3 @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h13,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ e1 @ e2 @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ e1 @ e3 @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ e2 @ e3 @ X2 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h14,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ e1 @ e2 @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h15,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ e1 @ e3 @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ e2 @ e3 @ X2 ) ) ) ),
introduced(assumption,[]) ).
thf(h16,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ e1 @ e3 @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h17,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ e2 @ e3 @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h18,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e1 @ e0 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h19,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e2 @ e0 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e3 @ e0 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e2 @ e0 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e3 @ e0 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e3 @ e0 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h20,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e2 @ e0 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h21,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e3 @ e0 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e2 @ e0 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e3 @ e0 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e3 @ e0 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h22,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e3 @ e0 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h23,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e2 @ e0 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e3 @ e0 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e3 @ e0 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h24,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e2 @ e0 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h25,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e3 @ e0 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e3 @ e0 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h26,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e3 @ e0 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h27,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e3 @ e0 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h28,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e3 @ e0 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h29,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h30,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e1 @ e1 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h31,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h32,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e2 @ e1 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h33,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h34,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h35,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h36,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e2 @ e1 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h37,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h38,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h39,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h40,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h41,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h42,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e1 @ e2 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h43,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h44,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e2 @ e2 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h45,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h46,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h47,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h48,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e2 @ e2 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h49,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h50,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h51,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h52,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h53,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h54,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e1 @ e3 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h55,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h56,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h57,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h58,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h59,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h60,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h61,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h62,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h63,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h64,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h65,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h66,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e1 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h67,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h68,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e2 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h69,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h70,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e3 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h71,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h72,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e2 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h73,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h74,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e3 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h75,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h76,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e3 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h77,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h78,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e1 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h79,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h80,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e2 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h81,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h82,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e3 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h83,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h84,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h85,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h86,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h87,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h88,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h89,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h90,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h91,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h92,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h93,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h94,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h95,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h96,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h97,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h98,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h99,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h100,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h101,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h102,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h103,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h104,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h105,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h106,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h107,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h108,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h109,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ),
introduced(assumption,[]) ).
thf(h110,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h111,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h112,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ ( inv @ e1 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h113,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ ( inv @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ ( inv @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ ( inv @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ ( inv @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ ( inv @ e3 ) @ X2 ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h114,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ ( inv @ e2 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h115,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ ( inv @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ ( inv @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ ( inv @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ ( inv @ e3 ) @ X2 ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h116,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ ( inv @ e3 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h117,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ ( inv @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ ( inv @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ ( inv @ e3 ) @ X2 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h118,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ ( inv @ e2 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h119,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ ( inv @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ ( inv @ e3 ) @ X2 ) ) ) ),
introduced(assumption,[]) ).
thf(h120,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ ( inv @ e3 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h121,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ ( inv @ e3 ) @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h122,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ e1 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e0 @ X2 ) ) ) ),
introduced(assumption,[]) ).
thf(h123,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ e2 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e0 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ e3 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e0 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e0 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ e1 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e2 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e1 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e3 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e1 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e0 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ e2 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e1 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e2 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e3 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e2 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e0 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ e3 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e1 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e3 @ X2 ) ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e2 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e3 @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h124,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ e2 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e0 @ X2 ) ) ) ),
introduced(assumption,[]) ).
thf(h125,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ e3 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e0 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e0 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ e1 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e2 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e1 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e3 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e1 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e0 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ e2 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e1 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e2 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e3 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e2 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e0 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ e3 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e1 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e3 @ X2 ) ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e2 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e3 @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h126,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ e3 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e0 @ X2 ) ) ) ),
introduced(assumption,[]) ).
thf(h127,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e0 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ e1 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e2 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e1 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e3 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e1 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e0 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ e2 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e1 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e2 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e3 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e2 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e0 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ e3 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e1 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e3 @ X2 ) ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e2 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e3 @ X2 ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h128,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e0 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ e1 @ X2 ) ) ) ),
introduced(assumption,[]) ).
thf(h129,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e2 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e1 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e3 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e1 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e0 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ e2 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e1 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e2 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e3 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e2 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e0 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ e3 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e1 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e3 @ X2 ) ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e2 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e3 @ X2 ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h130,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e2 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e1 @ X2 ) ) ) ),
introduced(assumption,[]) ).
thf(h131,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e3 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e1 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e0 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ e2 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e1 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e2 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e3 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e2 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e0 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ e3 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e1 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e3 @ X2 ) ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e2 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e3 @ X2 ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h132,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e3 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e1 @ X2 ) ) ) ),
introduced(assumption,[]) ).
thf(h133,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e0 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ e2 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e1 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e2 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e3 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e2 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e0 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ e3 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e1 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e3 @ X2 ) ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e2 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e3 @ X2 ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h134,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e0 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ e2 @ X2 ) ) ) ),
introduced(assumption,[]) ).
thf(h135,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e1 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e2 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e3 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e2 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e0 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ e3 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e1 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e3 @ X2 ) ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e2 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e3 @ X2 ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h136,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e1 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e2 @ X2 ) ) ) ),
introduced(assumption,[]) ).
thf(h137,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e3 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e2 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e0 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ e3 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e1 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e3 @ X2 ) ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e2 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e3 @ X2 ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h138,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e3 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e2 @ X2 ) ) ) ),
introduced(assumption,[]) ).
thf(h139,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e0 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ e3 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e1 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e3 @ X2 ) ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e2 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e3 @ X2 ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h140,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e0 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ e3 @ X2 ) ) ) ),
introduced(assumption,[]) ).
thf(h141,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e1 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e3 @ X2 ) ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e2 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e3 @ X2 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h142,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e1 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e3 @ X2 ) ) ) ),
introduced(assumption,[]) ).
thf(h143,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e2 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e3 @ X2 ) ) ) ),
introduced(assumption,[]) ).
thf(h144,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ ( inv @ e0 ) ) @ e0 @ X1 ) ),
introduced(assumption,[]) ).
thf(h145,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ ( inv @ e1 ) ) @ e1 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ ( inv @ e2 ) ) @ e2 @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ ( inv @ e3 ) ) @ e3 @ X1 ) ) ) ),
introduced(assumption,[]) ).
thf(h146,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ ( inv @ e1 ) ) @ e1 @ X1 ) ),
introduced(assumption,[]) ).
thf(h147,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ ( inv @ e2 ) ) @ e2 @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ ( inv @ e3 ) ) @ e3 @ X1 ) ) ),
introduced(assumption,[]) ).
thf(h148,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ ( inv @ e2 ) ) @ e2 @ X1 ) ),
introduced(assumption,[]) ).
thf(h149,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ ( inv @ e3 ) ) @ e3 @ X1 ) ),
introduced(assumption,[]) ).
thf(h150,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ ( inv @ e0 ) ) @ unit @ X1 ) ),
introduced(assumption,[]) ).
thf(h151,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( inv @ e0 ) @ e0 ) @ unit @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ ( inv @ e1 ) ) @ unit @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( inv @ e1 ) @ e1 ) @ unit @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ ( inv @ e2 ) ) @ unit @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( inv @ e2 ) @ e2 ) @ unit @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ ( inv @ e3 ) ) @ unit @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( inv @ e3 ) @ e3 ) @ unit @ X1 ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ~ ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e3 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h152,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( inv @ e0 ) @ e0 ) @ unit @ X1 ) ),
introduced(assumption,[]) ).
thf(h153,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ ( inv @ e1 ) ) @ unit @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( inv @ e1 ) @ e1 ) @ unit @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ ( inv @ e2 ) ) @ unit @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( inv @ e2 ) @ e2 ) @ unit @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ ( inv @ e3 ) ) @ unit @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( inv @ e3 ) @ e3 ) @ unit @ X1 ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ~ ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e3 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h154,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ ( inv @ e1 ) ) @ unit @ X1 ) ),
introduced(assumption,[]) ).
thf(h155,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( inv @ e1 ) @ e1 ) @ unit @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ ( inv @ e2 ) ) @ unit @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( inv @ e2 ) @ e2 ) @ unit @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ ( inv @ e3 ) ) @ unit @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( inv @ e3 ) @ e3 ) @ unit @ X1 ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ~ ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e3 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h156,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( inv @ e1 ) @ e1 ) @ unit @ X1 ) ),
introduced(assumption,[]) ).
thf(h157,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ ( inv @ e2 ) ) @ unit @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( inv @ e2 ) @ e2 ) @ unit @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ ( inv @ e3 ) ) @ unit @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( inv @ e3 ) @ e3 ) @ unit @ X1 ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ~ ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e3 @ X1 ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h158,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ ( inv @ e2 ) ) @ unit @ X1 ) ),
introduced(assumption,[]) ).
thf(h159,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( inv @ e2 ) @ e2 ) @ unit @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ ( inv @ e3 ) ) @ unit @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( inv @ e3 ) @ e3 ) @ unit @ X1 ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ~ ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e3 @ X1 ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h160,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( inv @ e2 ) @ e2 ) @ unit @ X1 ) ),
introduced(assumption,[]) ).
thf(h161,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ ( inv @ e3 ) ) @ unit @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( inv @ e3 ) @ e3 ) @ unit @ X1 ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ~ ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e3 @ X1 ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h162,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ ( inv @ e3 ) ) @ unit @ X1 ) ),
introduced(assumption,[]) ).
thf(h163,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( inv @ e3 ) @ e3 ) @ unit @ X1 ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ~ ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e3 @ X1 ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h164,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( inv @ e3 ) @ e3 ) @ unit @ X1 ) ),
introduced(assumption,[]) ).
thf(h165,assumption,
~ ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ~ ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e3 @ X1 ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h166,assumption,
( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e3 @ X1 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h167,assumption,
~ ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ~ ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e3 @ X1 ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h168,assumption,
( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e3 @ X1 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h169,assumption,
~ ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ~ ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e3 @ X1 ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h170,assumption,
( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e3 @ X1 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h171,assumption,
( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e3 @ X1 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h172,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ unit @ e0 ) @ e0 @ X1 ) ),
introduced(assumption,[]) ).
thf(h173,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ unit ) @ e0 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ unit @ e1 ) @ e1 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ unit ) @ e1 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ unit @ e2 ) @ e2 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ unit ) @ e2 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ unit @ e3 ) @ e3 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ unit ) @ e3 @ X1 ) )
=> ~ ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e3 @ X1 ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h174,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ unit ) @ e0 @ X1 ) ),
introduced(assumption,[]) ).
thf(h175,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ unit @ e1 ) @ e1 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ unit ) @ e1 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ unit @ e2 ) @ e2 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ unit ) @ e2 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ unit @ e3 ) @ e3 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ unit ) @ e3 @ X1 ) )
=> ~ ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e3 @ X1 ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h176,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ unit @ e1 ) @ e1 @ X1 ) ),
introduced(assumption,[]) ).
thf(h177,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ unit ) @ e1 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ unit @ e2 ) @ e2 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ unit ) @ e2 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ unit @ e3 ) @ e3 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ unit ) @ e3 @ X1 ) )
=> ~ ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e3 @ X1 ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h178,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ unit ) @ e1 @ X1 ) ),
introduced(assumption,[]) ).
thf(h179,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ unit @ e2 ) @ e2 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ unit ) @ e2 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ unit @ e3 ) @ e3 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ unit ) @ e3 @ X1 ) )
=> ~ ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e3 @ X1 ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h180,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ unit @ e2 ) @ e2 @ X1 ) ),
introduced(assumption,[]) ).
thf(h181,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ unit ) @ e2 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ unit @ e3 ) @ e3 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ unit ) @ e3 @ X1 ) )
=> ~ ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e3 @ X1 ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h182,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ unit ) @ e2 @ X1 ) ),
introduced(assumption,[]) ).
thf(h183,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ unit @ e3 ) @ e3 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ unit ) @ e3 @ X1 ) )
=> ~ ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e3 @ X1 ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h184,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ unit @ e3 ) @ e3 @ X1 ) ),
introduced(assumption,[]) ).
thf(h185,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ unit ) @ e3 @ X1 ) )
=> ~ ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e3 @ X1 ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h186,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ unit ) @ e3 @ X1 ) ),
introduced(assumption,[]) ).
thf(h187,assumption,
( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e3 @ X1 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h188,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e0 ) @ e0 ) @ ( op @ e0 @ ( op @ e0 @ e0 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h189,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e0 ) @ e1 ) @ ( op @ e0 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e0 ) @ e2 ) @ ( op @ e0 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e0 ) @ e3 ) @ ( op @ e0 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e1 ) @ e0 ) @ ( op @ e0 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e1 ) @ e1 ) @ ( op @ e0 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e1 ) @ e2 ) @ ( op @ e0 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e1 ) @ e3 ) @ ( op @ e0 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e0 ) @ ( op @ e0 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e1 ) @ ( op @ e0 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e2 ) @ ( op @ e0 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e3 ) @ ( op @ e0 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e0 ) @ ( op @ e0 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e1 ) @ ( op @ e0 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e2 ) @ ( op @ e0 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e3 ) @ ( op @ e0 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e0 ) @ ( op @ e1 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e1 ) @ ( op @ e1 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e2 ) @ ( op @ e1 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e3 ) @ ( op @ e1 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e0 ) @ ( op @ e1 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e1 ) @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e2 ) @ ( op @ e1 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e3 ) @ ( op @ e1 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e0 ) @ ( op @ e1 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e1 ) @ ( op @ e1 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e2 ) @ ( op @ e1 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e3 ) @ ( op @ e1 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e0 ) @ ( op @ e1 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e1 ) @ ( op @ e1 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e2 ) @ ( op @ e1 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e3 ) @ ( op @ e1 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e0 ) @ ( op @ e2 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h190,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e0 ) @ e1 ) @ ( op @ e0 @ ( op @ e0 @ e1 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h191,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e0 ) @ e2 ) @ ( op @ e0 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e0 ) @ e3 ) @ ( op @ e0 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e1 ) @ e0 ) @ ( op @ e0 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e1 ) @ e1 ) @ ( op @ e0 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e1 ) @ e2 ) @ ( op @ e0 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e1 ) @ e3 ) @ ( op @ e0 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e0 ) @ ( op @ e0 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e1 ) @ ( op @ e0 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e2 ) @ ( op @ e0 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e3 ) @ ( op @ e0 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e0 ) @ ( op @ e0 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e1 ) @ ( op @ e0 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e2 ) @ ( op @ e0 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e3 ) @ ( op @ e0 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e0 ) @ ( op @ e1 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e1 ) @ ( op @ e1 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e2 ) @ ( op @ e1 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e3 ) @ ( op @ e1 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e0 ) @ ( op @ e1 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e1 ) @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e2 ) @ ( op @ e1 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e3 ) @ ( op @ e1 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e0 ) @ ( op @ e1 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e1 ) @ ( op @ e1 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e2 ) @ ( op @ e1 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e3 ) @ ( op @ e1 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e0 ) @ ( op @ e1 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e1 ) @ ( op @ e1 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e2 ) @ ( op @ e1 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e3 ) @ ( op @ e1 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e0 ) @ ( op @ e2 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h192,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e0 ) @ e2 ) @ ( op @ e0 @ ( op @ e0 @ e2 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h193,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e0 ) @ e3 ) @ ( op @ e0 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e1 ) @ e0 ) @ ( op @ e0 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e1 ) @ e1 ) @ ( op @ e0 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e1 ) @ e2 ) @ ( op @ e0 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e1 ) @ e3 ) @ ( op @ e0 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e0 ) @ ( op @ e0 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e1 ) @ ( op @ e0 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e2 ) @ ( op @ e0 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e3 ) @ ( op @ e0 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e0 ) @ ( op @ e0 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e1 ) @ ( op @ e0 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e2 ) @ ( op @ e0 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e3 ) @ ( op @ e0 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e0 ) @ ( op @ e1 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e1 ) @ ( op @ e1 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e2 ) @ ( op @ e1 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e3 ) @ ( op @ e1 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e0 ) @ ( op @ e1 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e1 ) @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e2 ) @ ( op @ e1 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e3 ) @ ( op @ e1 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e0 ) @ ( op @ e1 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e1 ) @ ( op @ e1 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e2 ) @ ( op @ e1 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e3 ) @ ( op @ e1 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e0 ) @ ( op @ e1 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e1 ) @ ( op @ e1 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e2 ) @ ( op @ e1 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e3 ) @ ( op @ e1 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e0 ) @ ( op @ e2 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h194,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e0 ) @ e3 ) @ ( op @ e0 @ ( op @ e0 @ e3 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h195,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e1 ) @ e0 ) @ ( op @ e0 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e1 ) @ e1 ) @ ( op @ e0 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e1 ) @ e2 ) @ ( op @ e0 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e1 ) @ e3 ) @ ( op @ e0 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e0 ) @ ( op @ e0 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e1 ) @ ( op @ e0 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e2 ) @ ( op @ e0 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e3 ) @ ( op @ e0 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e0 ) @ ( op @ e0 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e1 ) @ ( op @ e0 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e2 ) @ ( op @ e0 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e3 ) @ ( op @ e0 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e0 ) @ ( op @ e1 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e1 ) @ ( op @ e1 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e2 ) @ ( op @ e1 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e3 ) @ ( op @ e1 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e0 ) @ ( op @ e1 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e1 ) @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e2 ) @ ( op @ e1 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e3 ) @ ( op @ e1 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e0 ) @ ( op @ e1 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e1 ) @ ( op @ e1 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e2 ) @ ( op @ e1 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e3 ) @ ( op @ e1 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e0 ) @ ( op @ e1 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e1 ) @ ( op @ e1 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e2 ) @ ( op @ e1 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e3 ) @ ( op @ e1 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e0 ) @ ( op @ e2 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h196,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e1 ) @ e0 ) @ ( op @ e0 @ ( op @ e1 @ e0 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h197,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e1 ) @ e1 ) @ ( op @ e0 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e1 ) @ e2 ) @ ( op @ e0 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e1 ) @ e3 ) @ ( op @ e0 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e0 ) @ ( op @ e0 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e1 ) @ ( op @ e0 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e2 ) @ ( op @ e0 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e3 ) @ ( op @ e0 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e0 ) @ ( op @ e0 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e1 ) @ ( op @ e0 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e2 ) @ ( op @ e0 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e3 ) @ ( op @ e0 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e0 ) @ ( op @ e1 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e1 ) @ ( op @ e1 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e2 ) @ ( op @ e1 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e3 ) @ ( op @ e1 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e0 ) @ ( op @ e1 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e1 ) @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e2 ) @ ( op @ e1 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e3 ) @ ( op @ e1 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e0 ) @ ( op @ e1 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e1 ) @ ( op @ e1 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e2 ) @ ( op @ e1 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e3 ) @ ( op @ e1 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e0 ) @ ( op @ e1 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e1 ) @ ( op @ e1 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e2 ) @ ( op @ e1 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e3 ) @ ( op @ e1 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e0 ) @ ( op @ e2 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h198,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e1 ) @ e1 ) @ ( op @ e0 @ ( op @ e1 @ e1 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h199,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e1 ) @ e2 ) @ ( op @ e0 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e1 ) @ e3 ) @ ( op @ e0 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e0 ) @ ( op @ e0 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e1 ) @ ( op @ e0 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e2 ) @ ( op @ e0 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e3 ) @ ( op @ e0 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e0 ) @ ( op @ e0 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e1 ) @ ( op @ e0 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e2 ) @ ( op @ e0 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e3 ) @ ( op @ e0 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e0 ) @ ( op @ e1 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e1 ) @ ( op @ e1 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e2 ) @ ( op @ e1 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e3 ) @ ( op @ e1 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e0 ) @ ( op @ e1 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e1 ) @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e2 ) @ ( op @ e1 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e3 ) @ ( op @ e1 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e0 ) @ ( op @ e1 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e1 ) @ ( op @ e1 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e2 ) @ ( op @ e1 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e3 ) @ ( op @ e1 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e0 ) @ ( op @ e1 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e1 ) @ ( op @ e1 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e2 ) @ ( op @ e1 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e3 ) @ ( op @ e1 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e0 ) @ ( op @ e2 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h200,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e1 ) @ e2 ) @ ( op @ e0 @ ( op @ e1 @ e2 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h201,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e1 ) @ e3 ) @ ( op @ e0 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e0 ) @ ( op @ e0 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e1 ) @ ( op @ e0 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e2 ) @ ( op @ e0 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e3 ) @ ( op @ e0 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e0 ) @ ( op @ e0 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e1 ) @ ( op @ e0 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e2 ) @ ( op @ e0 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e3 ) @ ( op @ e0 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e0 ) @ ( op @ e1 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e1 ) @ ( op @ e1 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e2 ) @ ( op @ e1 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e3 ) @ ( op @ e1 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e0 ) @ ( op @ e1 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e1 ) @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e2 ) @ ( op @ e1 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e3 ) @ ( op @ e1 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e0 ) @ ( op @ e1 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e1 ) @ ( op @ e1 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e2 ) @ ( op @ e1 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e3 ) @ ( op @ e1 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e0 ) @ ( op @ e1 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e1 ) @ ( op @ e1 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e2 ) @ ( op @ e1 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e3 ) @ ( op @ e1 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e0 ) @ ( op @ e2 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h202,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e1 ) @ e3 ) @ ( op @ e0 @ ( op @ e1 @ e3 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h203,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e0 ) @ ( op @ e0 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e1 ) @ ( op @ e0 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e2 ) @ ( op @ e0 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e3 ) @ ( op @ e0 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e0 ) @ ( op @ e0 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e1 ) @ ( op @ e0 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e2 ) @ ( op @ e0 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e3 ) @ ( op @ e0 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e0 ) @ ( op @ e1 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e1 ) @ ( op @ e1 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e2 ) @ ( op @ e1 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e3 ) @ ( op @ e1 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e0 ) @ ( op @ e1 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e1 ) @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e2 ) @ ( op @ e1 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e3 ) @ ( op @ e1 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e0 ) @ ( op @ e1 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e1 ) @ ( op @ e1 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e2 ) @ ( op @ e1 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e3 ) @ ( op @ e1 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e0 ) @ ( op @ e1 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e1 ) @ ( op @ e1 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e2 ) @ ( op @ e1 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e3 ) @ ( op @ e1 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e0 ) @ ( op @ e2 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h204,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e0 ) @ ( op @ e0 @ ( op @ e2 @ e0 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h205,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e1 ) @ ( op @ e0 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e2 ) @ ( op @ e0 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e3 ) @ ( op @ e0 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e0 ) @ ( op @ e0 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e1 ) @ ( op @ e0 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e2 ) @ ( op @ e0 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e3 ) @ ( op @ e0 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e0 ) @ ( op @ e1 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e1 ) @ ( op @ e1 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e2 ) @ ( op @ e1 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e3 ) @ ( op @ e1 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e0 ) @ ( op @ e1 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e1 ) @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e2 ) @ ( op @ e1 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e3 ) @ ( op @ e1 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e0 ) @ ( op @ e1 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e1 ) @ ( op @ e1 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e2 ) @ ( op @ e1 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e3 ) @ ( op @ e1 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e0 ) @ ( op @ e1 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e1 ) @ ( op @ e1 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e2 ) @ ( op @ e1 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e3 ) @ ( op @ e1 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e0 ) @ ( op @ e2 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h206,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e1 ) @ ( op @ e0 @ ( op @ e2 @ e1 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h207,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e2 ) @ ( op @ e0 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e3 ) @ ( op @ e0 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e0 ) @ ( op @ e0 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e1 ) @ ( op @ e0 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e2 ) @ ( op @ e0 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e3 ) @ ( op @ e0 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e0 ) @ ( op @ e1 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e1 ) @ ( op @ e1 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e2 ) @ ( op @ e1 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e3 ) @ ( op @ e1 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e0 ) @ ( op @ e1 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e1 ) @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e2 ) @ ( op @ e1 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e3 ) @ ( op @ e1 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e0 ) @ ( op @ e1 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e1 ) @ ( op @ e1 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e2 ) @ ( op @ e1 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e3 ) @ ( op @ e1 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e0 ) @ ( op @ e1 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e1 ) @ ( op @ e1 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e2 ) @ ( op @ e1 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e3 ) @ ( op @ e1 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e0 ) @ ( op @ e2 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h208,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e2 ) @ ( op @ e0 @ ( op @ e2 @ e2 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h209,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e3 ) @ ( op @ e0 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e0 ) @ ( op @ e0 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e1 ) @ ( op @ e0 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e2 ) @ ( op @ e0 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e3 ) @ ( op @ e0 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e0 ) @ ( op @ e1 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e1 ) @ ( op @ e1 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e2 ) @ ( op @ e1 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e3 ) @ ( op @ e1 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e0 ) @ ( op @ e1 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e1 ) @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e2 ) @ ( op @ e1 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e3 ) @ ( op @ e1 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e0 ) @ ( op @ e1 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e1 ) @ ( op @ e1 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e2 ) @ ( op @ e1 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e3 ) @ ( op @ e1 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e0 ) @ ( op @ e1 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e1 ) @ ( op @ e1 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e2 ) @ ( op @ e1 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e3 ) @ ( op @ e1 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e0 ) @ ( op @ e2 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h210,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e3 ) @ ( op @ e0 @ ( op @ e2 @ e3 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h211,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e0 ) @ ( op @ e0 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e1 ) @ ( op @ e0 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e2 ) @ ( op @ e0 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e3 ) @ ( op @ e0 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e0 ) @ ( op @ e1 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e1 ) @ ( op @ e1 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e2 ) @ ( op @ e1 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e3 ) @ ( op @ e1 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e0 ) @ ( op @ e1 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e1 ) @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e2 ) @ ( op @ e1 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e3 ) @ ( op @ e1 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e0 ) @ ( op @ e1 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e1 ) @ ( op @ e1 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e2 ) @ ( op @ e1 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e3 ) @ ( op @ e1 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e0 ) @ ( op @ e1 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e1 ) @ ( op @ e1 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e2 ) @ ( op @ e1 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e3 ) @ ( op @ e1 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e0 ) @ ( op @ e2 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h212,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e0 ) @ ( op @ e0 @ ( op @ e3 @ e0 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h213,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e1 ) @ ( op @ e0 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e2 ) @ ( op @ e0 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e3 ) @ ( op @ e0 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e0 ) @ ( op @ e1 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e1 ) @ ( op @ e1 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e2 ) @ ( op @ e1 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e3 ) @ ( op @ e1 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e0 ) @ ( op @ e1 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e1 ) @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e2 ) @ ( op @ e1 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e3 ) @ ( op @ e1 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e0 ) @ ( op @ e1 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e1 ) @ ( op @ e1 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e2 ) @ ( op @ e1 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e3 ) @ ( op @ e1 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e0 ) @ ( op @ e1 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e1 ) @ ( op @ e1 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e2 ) @ ( op @ e1 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e3 ) @ ( op @ e1 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e0 ) @ ( op @ e2 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h214,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e1 ) @ ( op @ e0 @ ( op @ e3 @ e1 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h215,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e2 ) @ ( op @ e0 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e3 ) @ ( op @ e0 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e0 ) @ ( op @ e1 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e1 ) @ ( op @ e1 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e2 ) @ ( op @ e1 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e3 ) @ ( op @ e1 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e0 ) @ ( op @ e1 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e1 ) @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e2 ) @ ( op @ e1 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e3 ) @ ( op @ e1 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e0 ) @ ( op @ e1 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e1 ) @ ( op @ e1 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e2 ) @ ( op @ e1 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e3 ) @ ( op @ e1 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e0 ) @ ( op @ e1 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e1 ) @ ( op @ e1 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e2 ) @ ( op @ e1 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e3 ) @ ( op @ e1 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e0 ) @ ( op @ e2 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h216,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e2 ) @ ( op @ e0 @ ( op @ e3 @ e2 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h217,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e3 ) @ ( op @ e0 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e0 ) @ ( op @ e1 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e1 ) @ ( op @ e1 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e2 ) @ ( op @ e1 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e3 ) @ ( op @ e1 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e0 ) @ ( op @ e1 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e1 ) @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e2 ) @ ( op @ e1 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e3 ) @ ( op @ e1 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e0 ) @ ( op @ e1 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e1 ) @ ( op @ e1 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e2 ) @ ( op @ e1 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e3 ) @ ( op @ e1 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e0 ) @ ( op @ e1 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e1 ) @ ( op @ e1 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e2 ) @ ( op @ e1 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e3 ) @ ( op @ e1 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e0 ) @ ( op @ e2 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h218,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e3 ) @ ( op @ e0 @ ( op @ e3 @ e3 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h219,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e0 ) @ ( op @ e1 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e1 ) @ ( op @ e1 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e2 ) @ ( op @ e1 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e3 ) @ ( op @ e1 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e0 ) @ ( op @ e1 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e1 ) @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e2 ) @ ( op @ e1 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e3 ) @ ( op @ e1 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e0 ) @ ( op @ e1 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e1 ) @ ( op @ e1 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e2 ) @ ( op @ e1 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e3 ) @ ( op @ e1 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e0 ) @ ( op @ e1 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e1 ) @ ( op @ e1 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e2 ) @ ( op @ e1 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e3 ) @ ( op @ e1 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e0 ) @ ( op @ e2 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h220,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e0 ) @ ( op @ e1 @ ( op @ e0 @ e0 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h221,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e1 ) @ ( op @ e1 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e2 ) @ ( op @ e1 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e3 ) @ ( op @ e1 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e0 ) @ ( op @ e1 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e1 ) @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e2 ) @ ( op @ e1 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e3 ) @ ( op @ e1 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e0 ) @ ( op @ e1 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e1 ) @ ( op @ e1 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e2 ) @ ( op @ e1 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e3 ) @ ( op @ e1 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e0 ) @ ( op @ e1 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e1 ) @ ( op @ e1 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e2 ) @ ( op @ e1 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e3 ) @ ( op @ e1 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e0 ) @ ( op @ e2 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h222,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e1 ) @ ( op @ e1 @ ( op @ e0 @ e1 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h223,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e2 ) @ ( op @ e1 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e3 ) @ ( op @ e1 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e0 ) @ ( op @ e1 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e1 ) @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e2 ) @ ( op @ e1 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e3 ) @ ( op @ e1 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e0 ) @ ( op @ e1 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e1 ) @ ( op @ e1 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e2 ) @ ( op @ e1 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e3 ) @ ( op @ e1 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e0 ) @ ( op @ e1 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e1 ) @ ( op @ e1 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e2 ) @ ( op @ e1 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e3 ) @ ( op @ e1 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e0 ) @ ( op @ e2 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h224,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e2 ) @ ( op @ e1 @ ( op @ e0 @ e2 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h225,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e3 ) @ ( op @ e1 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e0 ) @ ( op @ e1 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e1 ) @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e2 ) @ ( op @ e1 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e3 ) @ ( op @ e1 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e0 ) @ ( op @ e1 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e1 ) @ ( op @ e1 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e2 ) @ ( op @ e1 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e3 ) @ ( op @ e1 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e0 ) @ ( op @ e1 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e1 ) @ ( op @ e1 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e2 ) @ ( op @ e1 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e3 ) @ ( op @ e1 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e0 ) @ ( op @ e2 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h226,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e3 ) @ ( op @ e1 @ ( op @ e0 @ e3 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h227,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e0 ) @ ( op @ e1 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e1 ) @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e2 ) @ ( op @ e1 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e3 ) @ ( op @ e1 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e0 ) @ ( op @ e1 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e1 ) @ ( op @ e1 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e2 ) @ ( op @ e1 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e3 ) @ ( op @ e1 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e0 ) @ ( op @ e1 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e1 ) @ ( op @ e1 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e2 ) @ ( op @ e1 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e3 ) @ ( op @ e1 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e0 ) @ ( op @ e2 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h228,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e0 ) @ ( op @ e1 @ ( op @ e1 @ e0 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h229,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e1 ) @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e2 ) @ ( op @ e1 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e3 ) @ ( op @ e1 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e0 ) @ ( op @ e1 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e1 ) @ ( op @ e1 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e2 ) @ ( op @ e1 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e3 ) @ ( op @ e1 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e0 ) @ ( op @ e1 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e1 ) @ ( op @ e1 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e2 ) @ ( op @ e1 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e3 ) @ ( op @ e1 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e0 ) @ ( op @ e2 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h230,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e1 ) @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h231,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e2 ) @ ( op @ e1 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e3 ) @ ( op @ e1 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e0 ) @ ( op @ e1 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e1 ) @ ( op @ e1 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e2 ) @ ( op @ e1 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e3 ) @ ( op @ e1 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e0 ) @ ( op @ e1 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e1 ) @ ( op @ e1 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e2 ) @ ( op @ e1 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e3 ) @ ( op @ e1 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e0 ) @ ( op @ e2 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h232,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e2 ) @ ( op @ e1 @ ( op @ e1 @ e2 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h233,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e3 ) @ ( op @ e1 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e0 ) @ ( op @ e1 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e1 ) @ ( op @ e1 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e2 ) @ ( op @ e1 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e3 ) @ ( op @ e1 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e0 ) @ ( op @ e1 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e1 ) @ ( op @ e1 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e2 ) @ ( op @ e1 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e3 ) @ ( op @ e1 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e0 ) @ ( op @ e2 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h234,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e3 ) @ ( op @ e1 @ ( op @ e1 @ e3 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h235,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e0 ) @ ( op @ e1 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e1 ) @ ( op @ e1 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e2 ) @ ( op @ e1 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e3 ) @ ( op @ e1 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e0 ) @ ( op @ e1 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e1 ) @ ( op @ e1 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e2 ) @ ( op @ e1 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e3 ) @ ( op @ e1 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e0 ) @ ( op @ e2 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h236,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e0 ) @ ( op @ e1 @ ( op @ e2 @ e0 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h237,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e1 ) @ ( op @ e1 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e2 ) @ ( op @ e1 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e3 ) @ ( op @ e1 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e0 ) @ ( op @ e1 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e1 ) @ ( op @ e1 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e2 ) @ ( op @ e1 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e3 ) @ ( op @ e1 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e0 ) @ ( op @ e2 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h238,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e1 ) @ ( op @ e1 @ ( op @ e2 @ e1 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h239,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e2 ) @ ( op @ e1 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e3 ) @ ( op @ e1 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e0 ) @ ( op @ e1 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e1 ) @ ( op @ e1 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e2 ) @ ( op @ e1 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e3 ) @ ( op @ e1 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e0 ) @ ( op @ e2 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h240,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e2 ) @ ( op @ e1 @ ( op @ e2 @ e2 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h241,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e3 ) @ ( op @ e1 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e0 ) @ ( op @ e1 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e1 ) @ ( op @ e1 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e2 ) @ ( op @ e1 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e3 ) @ ( op @ e1 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e0 ) @ ( op @ e2 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h242,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e3 ) @ ( op @ e1 @ ( op @ e2 @ e3 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h243,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e0 ) @ ( op @ e1 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e1 ) @ ( op @ e1 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e2 ) @ ( op @ e1 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e3 ) @ ( op @ e1 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e0 ) @ ( op @ e2 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h244,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e0 ) @ ( op @ e1 @ ( op @ e3 @ e0 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h245,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e1 ) @ ( op @ e1 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e2 ) @ ( op @ e1 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e3 ) @ ( op @ e1 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e0 ) @ ( op @ e2 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h246,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e1 ) @ ( op @ e1 @ ( op @ e3 @ e1 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h247,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e2 ) @ ( op @ e1 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e3 ) @ ( op @ e1 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e0 ) @ ( op @ e2 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h248,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e2 ) @ ( op @ e1 @ ( op @ e3 @ e2 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h249,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e3 ) @ ( op @ e1 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e0 ) @ ( op @ e2 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h250,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e3 ) @ ( op @ e1 @ ( op @ e3 @ e3 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h251,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e0 ) @ ( op @ e2 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h252,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e0 ) @ ( op @ e2 @ ( op @ e0 @ e0 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h253,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h254,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h255,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h256,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h257,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h258,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h259,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h260,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h261,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h262,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h263,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h264,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h265,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h266,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h267,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h268,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h269,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h270,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h271,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h272,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h273,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h274,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h275,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h276,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h277,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h278,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h279,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h280,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h281,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h282,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h283,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h284,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h285,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h286,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h287,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h288,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h289,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h290,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h291,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h292,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h293,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h294,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h295,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h296,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h297,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h298,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h299,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h300,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h301,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h302,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h303,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h304,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h305,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h306,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h307,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h308,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h309,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ),
introduced(assumption,[]) ).
thf(h310,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h311,assumption,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ),
introduced(assumption,[]) ).
thf(h312,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h313,assumption,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h314,assumption,
( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ X1 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h315,assumption,
~ ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ~ ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h316,assumption,
( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ e3 @ X1 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h317,assumption,
~ ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ~ ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h318,assumption,
( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ e3 @ X1 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h319,assumption,
~ ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ~ ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h320,assumption,
( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ e3 @ X1 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h321,assumption,
~ ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ~ ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h322,assumption,
( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ e3 @ X1 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h323,assumption,
~ ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ~ ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h324,assumption,
( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ X1 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h325,assumption,
~ ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ~ ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h326,assumption,
( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ e3 @ X1 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h327,assumption,
~ ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ~ ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h328,assumption,
( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e3 @ X1 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h329,assumption,
~ ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ~ ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ X1 ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h330,assumption,
( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e3 @ X1 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h331,assumption,
~ ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ~ ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ X1 ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h332,assumption,
( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e3 @ X1 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h333,assumption,
~ ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ~ ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ X1 ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h334,assumption,
( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ X1 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h335,assumption,
~ ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ~ ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ X1 ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h336,assumption,
( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e3 @ X1 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h337,assumption,
~ ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ~ ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ X1 ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h338,assumption,
( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e3 @ X1 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h339,assumption,
~ ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ~ ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ X1 ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h340,assumption,
( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e3 @ X1 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h341,assumption,
~ ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ~ ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ X1 ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h342,assumption,
( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e3 @ X1 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h343,assumption,
( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ X1 ) ) ) ) ),
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP2
| ~ sP3
| ~ sP4 ),
inference(prop_rule,[status(thm)],[]) ).
thf(2,plain,
( ~ sP1
| sP3 ),
inference(all_rule,[status(thm)],[]) ).
thf(3,plain,
( ~ sP5
| sP2 ),
inference(all_rule,[status(thm)],[]) ).
thf(mrel_reflexive,axiom,
sP1 ).
thf(4,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h342,h343,h340,h341,h338,h339,h336,h337,h334,h335,h332,h333,h330,h331,h328,h329,h326,h327,h324,h325,h322,h323,h320,h321,h318,h319,h316,h317,h314,h315,h312,h313,h310,h311,h308,h309,h306,h307,h304,h305,h302,h303,h300,h301,h298,h299,h296,h297,h294,h295,h292,h293,h290,h291,h288,h289,h286,h287,h284,h285,h282,h283,h280,h281,h278,h279,h276,h277,h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0])],[1,2,3,h4,h5,mrel_reflexive]) ).
thf(5,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h340,h341,h338,h339,h336,h337,h334,h335,h332,h333,h330,h331,h328,h329,h326,h327,h324,h325,h322,h323,h320,h321,h318,h319,h316,h317,h314,h315,h312,h313,h310,h311,h308,h309,h306,h307,h304,h305,h302,h303,h300,h301,h298,h299,h296,h297,h294,h295,h292,h293,h290,h291,h288,h289,h286,h287,h284,h285,h282,h283,h280,h281,h278,h279,h276,h277,h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h342,h343])],[h341,4,h342,h343]) ).
thf(6,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h338,h339,h336,h337,h334,h335,h332,h333,h330,h331,h328,h329,h326,h327,h324,h325,h322,h323,h320,h321,h318,h319,h316,h317,h314,h315,h312,h313,h310,h311,h308,h309,h306,h307,h304,h305,h302,h303,h300,h301,h298,h299,h296,h297,h294,h295,h292,h293,h290,h291,h288,h289,h286,h287,h284,h285,h282,h283,h280,h281,h278,h279,h276,h277,h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h340,h341])],[h339,5,h340,h341]) ).
thf(7,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h336,h337,h334,h335,h332,h333,h330,h331,h328,h329,h326,h327,h324,h325,h322,h323,h320,h321,h318,h319,h316,h317,h314,h315,h312,h313,h310,h311,h308,h309,h306,h307,h304,h305,h302,h303,h300,h301,h298,h299,h296,h297,h294,h295,h292,h293,h290,h291,h288,h289,h286,h287,h284,h285,h282,h283,h280,h281,h278,h279,h276,h277,h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h338,h339])],[h337,6,h338,h339]) ).
thf(8,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h334,h335,h332,h333,h330,h331,h328,h329,h326,h327,h324,h325,h322,h323,h320,h321,h318,h319,h316,h317,h314,h315,h312,h313,h310,h311,h308,h309,h306,h307,h304,h305,h302,h303,h300,h301,h298,h299,h296,h297,h294,h295,h292,h293,h290,h291,h288,h289,h286,h287,h284,h285,h282,h283,h280,h281,h278,h279,h276,h277,h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h336,h337])],[h335,7,h336,h337]) ).
thf(9,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h332,h333,h330,h331,h328,h329,h326,h327,h324,h325,h322,h323,h320,h321,h318,h319,h316,h317,h314,h315,h312,h313,h310,h311,h308,h309,h306,h307,h304,h305,h302,h303,h300,h301,h298,h299,h296,h297,h294,h295,h292,h293,h290,h291,h288,h289,h286,h287,h284,h285,h282,h283,h280,h281,h278,h279,h276,h277,h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h334,h335])],[h333,8,h334,h335]) ).
thf(10,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h330,h331,h328,h329,h326,h327,h324,h325,h322,h323,h320,h321,h318,h319,h316,h317,h314,h315,h312,h313,h310,h311,h308,h309,h306,h307,h304,h305,h302,h303,h300,h301,h298,h299,h296,h297,h294,h295,h292,h293,h290,h291,h288,h289,h286,h287,h284,h285,h282,h283,h280,h281,h278,h279,h276,h277,h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h332,h333])],[h331,9,h332,h333]) ).
thf(11,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h328,h329,h326,h327,h324,h325,h322,h323,h320,h321,h318,h319,h316,h317,h314,h315,h312,h313,h310,h311,h308,h309,h306,h307,h304,h305,h302,h303,h300,h301,h298,h299,h296,h297,h294,h295,h292,h293,h290,h291,h288,h289,h286,h287,h284,h285,h282,h283,h280,h281,h278,h279,h276,h277,h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h330,h331])],[h329,10,h330,h331]) ).
thf(12,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h326,h327,h324,h325,h322,h323,h320,h321,h318,h319,h316,h317,h314,h315,h312,h313,h310,h311,h308,h309,h306,h307,h304,h305,h302,h303,h300,h301,h298,h299,h296,h297,h294,h295,h292,h293,h290,h291,h288,h289,h286,h287,h284,h285,h282,h283,h280,h281,h278,h279,h276,h277,h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h328,h329])],[h327,11,h328,h329]) ).
thf(13,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h324,h325,h322,h323,h320,h321,h318,h319,h316,h317,h314,h315,h312,h313,h310,h311,h308,h309,h306,h307,h304,h305,h302,h303,h300,h301,h298,h299,h296,h297,h294,h295,h292,h293,h290,h291,h288,h289,h286,h287,h284,h285,h282,h283,h280,h281,h278,h279,h276,h277,h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h326,h327])],[h325,12,h326,h327]) ).
thf(14,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h322,h323,h320,h321,h318,h319,h316,h317,h314,h315,h312,h313,h310,h311,h308,h309,h306,h307,h304,h305,h302,h303,h300,h301,h298,h299,h296,h297,h294,h295,h292,h293,h290,h291,h288,h289,h286,h287,h284,h285,h282,h283,h280,h281,h278,h279,h276,h277,h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h324,h325])],[h323,13,h324,h325]) ).
thf(15,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h320,h321,h318,h319,h316,h317,h314,h315,h312,h313,h310,h311,h308,h309,h306,h307,h304,h305,h302,h303,h300,h301,h298,h299,h296,h297,h294,h295,h292,h293,h290,h291,h288,h289,h286,h287,h284,h285,h282,h283,h280,h281,h278,h279,h276,h277,h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h322,h323])],[h321,14,h322,h323]) ).
thf(16,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h318,h319,h316,h317,h314,h315,h312,h313,h310,h311,h308,h309,h306,h307,h304,h305,h302,h303,h300,h301,h298,h299,h296,h297,h294,h295,h292,h293,h290,h291,h288,h289,h286,h287,h284,h285,h282,h283,h280,h281,h278,h279,h276,h277,h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h320,h321])],[h319,15,h320,h321]) ).
thf(17,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h316,h317,h314,h315,h312,h313,h310,h311,h308,h309,h306,h307,h304,h305,h302,h303,h300,h301,h298,h299,h296,h297,h294,h295,h292,h293,h290,h291,h288,h289,h286,h287,h284,h285,h282,h283,h280,h281,h278,h279,h276,h277,h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h318,h319])],[h317,16,h318,h319]) ).
thf(18,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h314,h315,h312,h313,h310,h311,h308,h309,h306,h307,h304,h305,h302,h303,h300,h301,h298,h299,h296,h297,h294,h295,h292,h293,h290,h291,h288,h289,h286,h287,h284,h285,h282,h283,h280,h281,h278,h279,h276,h277,h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h316,h317])],[h315,17,h316,h317]) ).
thf(ax1,axiom,
~ ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ~ ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(19,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h312,h313,h310,h311,h308,h309,h306,h307,h304,h305,h302,h303,h300,h301,h298,h299,h296,h297,h294,h295,h292,h293,h290,h291,h288,h289,h286,h287,h284,h285,h282,h283,h280,h281,h278,h279,h276,h277,h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h314,h315])],[ax1,18,h314,h315]) ).
thf(20,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h310,h311,h308,h309,h306,h307,h304,h305,h302,h303,h300,h301,h298,h299,h296,h297,h294,h295,h292,h293,h290,h291,h288,h289,h286,h287,h284,h285,h282,h283,h280,h281,h278,h279,h276,h277,h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h312,h313])],[h311,19,h312,h313]) ).
thf(21,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h308,h309,h306,h307,h304,h305,h302,h303,h300,h301,h298,h299,h296,h297,h294,h295,h292,h293,h290,h291,h288,h289,h286,h287,h284,h285,h282,h283,h280,h281,h278,h279,h276,h277,h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h310,h311])],[h309,20,h310,h311]) ).
thf(22,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h306,h307,h304,h305,h302,h303,h300,h301,h298,h299,h296,h297,h294,h295,h292,h293,h290,h291,h288,h289,h286,h287,h284,h285,h282,h283,h280,h281,h278,h279,h276,h277,h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h308,h309])],[h307,21,h308,h309]) ).
thf(23,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h304,h305,h302,h303,h300,h301,h298,h299,h296,h297,h294,h295,h292,h293,h290,h291,h288,h289,h286,h287,h284,h285,h282,h283,h280,h281,h278,h279,h276,h277,h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h306,h307])],[h305,22,h306,h307]) ).
thf(24,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h302,h303,h300,h301,h298,h299,h296,h297,h294,h295,h292,h293,h290,h291,h288,h289,h286,h287,h284,h285,h282,h283,h280,h281,h278,h279,h276,h277,h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h304,h305])],[h303,23,h304,h305]) ).
thf(25,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h300,h301,h298,h299,h296,h297,h294,h295,h292,h293,h290,h291,h288,h289,h286,h287,h284,h285,h282,h283,h280,h281,h278,h279,h276,h277,h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h302,h303])],[h301,24,h302,h303]) ).
thf(26,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h298,h299,h296,h297,h294,h295,h292,h293,h290,h291,h288,h289,h286,h287,h284,h285,h282,h283,h280,h281,h278,h279,h276,h277,h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h300,h301])],[h299,25,h300,h301]) ).
thf(27,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h296,h297,h294,h295,h292,h293,h290,h291,h288,h289,h286,h287,h284,h285,h282,h283,h280,h281,h278,h279,h276,h277,h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h298,h299])],[h297,26,h298,h299]) ).
thf(28,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h294,h295,h292,h293,h290,h291,h288,h289,h286,h287,h284,h285,h282,h283,h280,h281,h278,h279,h276,h277,h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h296,h297])],[h295,27,h296,h297]) ).
thf(29,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h292,h293,h290,h291,h288,h289,h286,h287,h284,h285,h282,h283,h280,h281,h278,h279,h276,h277,h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h294,h295])],[h293,28,h294,h295]) ).
thf(30,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h290,h291,h288,h289,h286,h287,h284,h285,h282,h283,h280,h281,h278,h279,h276,h277,h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h292,h293])],[h291,29,h292,h293]) ).
thf(31,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h288,h289,h286,h287,h284,h285,h282,h283,h280,h281,h278,h279,h276,h277,h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h290,h291])],[h289,30,h290,h291]) ).
thf(32,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h286,h287,h284,h285,h282,h283,h280,h281,h278,h279,h276,h277,h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h288,h289])],[h287,31,h288,h289]) ).
thf(33,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h284,h285,h282,h283,h280,h281,h278,h279,h276,h277,h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h286,h287])],[h285,32,h286,h287]) ).
thf(34,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h282,h283,h280,h281,h278,h279,h276,h277,h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h284,h285])],[h283,33,h284,h285]) ).
thf(35,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h280,h281,h278,h279,h276,h277,h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h282,h283])],[h281,34,h282,h283]) ).
thf(36,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h278,h279,h276,h277,h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h280,h281])],[h279,35,h280,h281]) ).
thf(37,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h276,h277,h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h278,h279])],[h277,36,h278,h279]) ).
thf(38,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h274,h275,h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h276,h277])],[h275,37,h276,h277]) ).
thf(39,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h272,h273,h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h274,h275])],[h273,38,h274,h275]) ).
thf(40,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h270,h271,h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h272,h273])],[h271,39,h272,h273]) ).
thf(41,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h268,h269,h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h270,h271])],[h269,40,h270,h271]) ).
thf(42,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h266,h267,h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h268,h269])],[h267,41,h268,h269]) ).
thf(43,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h264,h265,h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h266,h267])],[h265,42,h266,h267]) ).
thf(44,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h262,h263,h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h264,h265])],[h263,43,h264,h265]) ).
thf(45,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h260,h261,h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h262,h263])],[h261,44,h262,h263]) ).
thf(46,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h258,h259,h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h260,h261])],[h259,45,h260,h261]) ).
thf(47,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h256,h257,h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h258,h259])],[h257,46,h258,h259]) ).
thf(48,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h254,h255,h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h256,h257])],[h255,47,h256,h257]) ).
thf(49,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h252,h253,h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h254,h255])],[h253,48,h254,h255]) ).
thf(50,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h250,h251,h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h252,h253])],[h251,49,h252,h253]) ).
thf(51,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h248,h249,h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h250,h251])],[h249,50,h250,h251]) ).
thf(52,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h246,h247,h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h248,h249])],[h247,51,h248,h249]) ).
thf(53,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h244,h245,h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h246,h247])],[h245,52,h246,h247]) ).
thf(54,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h242,h243,h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h244,h245])],[h243,53,h244,h245]) ).
thf(55,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h240,h241,h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h242,h243])],[h241,54,h242,h243]) ).
thf(56,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h238,h239,h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h240,h241])],[h239,55,h240,h241]) ).
thf(57,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h236,h237,h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h238,h239])],[h237,56,h238,h239]) ).
thf(58,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h234,h235,h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h236,h237])],[h235,57,h236,h237]) ).
thf(59,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h232,h233,h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h234,h235])],[h233,58,h234,h235]) ).
thf(60,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h230,h231,h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h232,h233])],[h231,59,h232,h233]) ).
thf(61,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h228,h229,h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h230,h231])],[h229,60,h230,h231]) ).
thf(62,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h226,h227,h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h228,h229])],[h227,61,h228,h229]) ).
thf(63,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h224,h225,h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h226,h227])],[h225,62,h226,h227]) ).
thf(64,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h222,h223,h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h224,h225])],[h223,63,h224,h225]) ).
thf(65,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h220,h221,h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h222,h223])],[h221,64,h222,h223]) ).
thf(66,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h218,h219,h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h220,h221])],[h219,65,h220,h221]) ).
thf(67,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h216,h217,h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h218,h219])],[h217,66,h218,h219]) ).
thf(68,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h214,h215,h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h216,h217])],[h215,67,h216,h217]) ).
thf(69,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h212,h213,h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h214,h215])],[h213,68,h214,h215]) ).
thf(70,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h210,h211,h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h212,h213])],[h211,69,h212,h213]) ).
thf(71,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h208,h209,h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h210,h211])],[h209,70,h210,h211]) ).
thf(72,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h206,h207,h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h208,h209])],[h207,71,h208,h209]) ).
thf(73,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h204,h205,h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h206,h207])],[h205,72,h206,h207]) ).
thf(74,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h202,h203,h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h204,h205])],[h203,73,h204,h205]) ).
thf(75,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h200,h201,h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h202,h203])],[h201,74,h202,h203]) ).
thf(76,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h198,h199,h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h200,h201])],[h199,75,h200,h201]) ).
thf(77,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h196,h197,h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h198,h199])],[h197,76,h198,h199]) ).
thf(78,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h194,h195,h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h196,h197])],[h195,77,h196,h197]) ).
thf(79,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h192,h193,h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h194,h195])],[h193,78,h194,h195]) ).
thf(80,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h190,h191,h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h192,h193])],[h191,79,h192,h193]) ).
thf(81,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h188,h189,h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h190,h191])],[h189,80,h190,h191]) ).
thf(ax2,axiom,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e0 ) @ e0 ) @ ( op @ e0 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e0 ) @ e1 ) @ ( op @ e0 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e0 ) @ e2 ) @ ( op @ e0 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e0 ) @ e3 ) @ ( op @ e0 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e1 ) @ e0 ) @ ( op @ e0 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e1 ) @ e1 ) @ ( op @ e0 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e1 ) @ e2 ) @ ( op @ e0 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e1 ) @ e3 ) @ ( op @ e0 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e0 ) @ ( op @ e0 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e1 ) @ ( op @ e0 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e2 ) @ ( op @ e0 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e2 ) @ e3 ) @ ( op @ e0 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e0 ) @ ( op @ e0 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e1 ) @ ( op @ e0 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e2 ) @ ( op @ e0 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e0 @ e3 ) @ e3 ) @ ( op @ e0 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e0 ) @ ( op @ e1 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e1 ) @ ( op @ e1 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e2 ) @ ( op @ e1 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e0 ) @ e3 ) @ ( op @ e1 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e0 ) @ ( op @ e1 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e1 ) @ ( op @ e1 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e2 ) @ ( op @ e1 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e1 ) @ e3 ) @ ( op @ e1 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e0 ) @ ( op @ e1 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e1 ) @ ( op @ e1 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e2 ) @ ( op @ e1 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e2 ) @ e3 ) @ ( op @ e1 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e0 ) @ ( op @ e1 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e1 ) @ ( op @ e1 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e2 ) @ ( op @ e1 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e1 @ e3 ) @ e3 ) @ ( op @ e1 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e0 ) @ ( op @ e2 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e1 ) @ ( op @ e2 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e2 ) @ ( op @ e2 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e0 ) @ e3 ) @ ( op @ e2 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e0 ) @ ( op @ e2 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e1 ) @ ( op @ e2 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e2 ) @ ( op @ e2 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e1 ) @ e3 ) @ ( op @ e2 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e0 ) @ ( op @ e2 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e1 ) @ ( op @ e2 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e2 ) @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e2 ) @ e3 ) @ ( op @ e2 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e0 ) @ ( op @ e2 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e1 ) @ ( op @ e2 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e2 ) @ ( op @ e2 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e2 @ e3 ) @ e3 ) @ ( op @ e2 @ ( op @ e3 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e0 ) @ ( op @ e3 @ ( op @ e0 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e1 ) @ ( op @ e3 @ ( op @ e0 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e2 ) @ ( op @ e3 @ ( op @ e0 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e0 ) @ e3 ) @ ( op @ e3 @ ( op @ e0 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e0 ) @ ( op @ e3 @ ( op @ e1 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e1 ) @ ( op @ e3 @ ( op @ e1 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e2 ) @ ( op @ e3 @ ( op @ e1 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e1 ) @ e3 ) @ ( op @ e3 @ ( op @ e1 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e0 ) @ ( op @ e3 @ ( op @ e2 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e1 ) @ ( op @ e3 @ ( op @ e2 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e2 ) @ ( op @ e3 @ ( op @ e2 @ e2 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e2 ) @ e3 ) @ ( op @ e3 @ ( op @ e2 @ e3 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e0 ) @ ( op @ e3 @ ( op @ e3 @ e0 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e1 ) @ ( op @ e3 @ ( op @ e3 @ e1 ) ) @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e2 ) @ ( op @ e3 @ ( op @ e3 @ e2 ) ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( op @ e3 @ e3 ) @ e3 ) @ ( op @ e3 @ ( op @ e3 @ e3 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(82,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h186,h187,h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h188,h189])],[ax2,81,h188,h189]) ).
thf(83,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h184,h185,h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h186,h187])],[h185,82,h186,h187]) ).
thf(84,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h182,h183,h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h184,h185])],[h183,83,h184,h185]) ).
thf(85,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h180,h181,h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h182,h183])],[h181,84,h182,h183]) ).
thf(86,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h178,h179,h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h180,h181])],[h179,85,h180,h181]) ).
thf(87,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h176,h177,h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h178,h179])],[h177,86,h178,h179]) ).
thf(88,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h174,h175,h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h176,h177])],[h175,87,h176,h177]) ).
thf(89,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h172,h173,h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h174,h175])],[h173,88,h174,h175]) ).
thf(ax3,axiom,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ unit @ e0 ) @ e0 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ unit ) @ e0 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ unit @ e1 ) @ e1 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ unit ) @ e1 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ unit @ e2 ) @ e2 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ unit ) @ e2 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ unit @ e3 ) @ e3 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ unit ) @ e3 @ X1 ) )
=> ~ ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ unit @ e3 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(90,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h170,h171,h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h172,h173])],[ax3,89,h172,h173]) ).
thf(91,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h168,h169,h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h170,h171])],[h169,90,h170,h171]) ).
thf(92,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h166,h167,h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h168,h169])],[h167,91,h168,h169]) ).
thf(93,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h164,h165,h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h166,h167])],[h165,92,h166,h167]) ).
thf(94,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h162,h163,h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h164,h165])],[h163,93,h164,h165]) ).
thf(95,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h160,h161,h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h162,h163])],[h161,94,h162,h163]) ).
thf(96,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h158,h159,h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h160,h161])],[h159,95,h160,h161]) ).
thf(97,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h156,h157,h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h158,h159])],[h157,96,h158,h159]) ).
thf(98,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h154,h155,h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h156,h157])],[h155,97,h156,h157]) ).
thf(99,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h152,h153,h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h154,h155])],[h153,98,h154,h155]) ).
thf(100,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h150,h151,h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h152,h153])],[h151,99,h152,h153]) ).
thf(ax4,axiom,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e0 @ ( inv @ e0 ) ) @ unit @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( inv @ e0 ) @ e0 ) @ unit @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e1 @ ( inv @ e1 ) ) @ unit @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( inv @ e1 ) @ e1 ) @ unit @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e2 @ ( inv @ e2 ) ) @ unit @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( inv @ e2 ) @ e2 ) @ unit @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ e3 @ ( inv @ e3 ) ) @ unit @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( op @ ( inv @ e3 ) @ e3 ) @ unit @ X1 ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e0 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e1 ) @ e3 @ X1 ) ) ) ) )
=> ( ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e2 ) @ e3 @ X1 ) ) ) ) )
=> ~ ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e0 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e1 @ X1 ) )
=> ( ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e2 @ X1 ) )
=> ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ e3 ) @ e3 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(101,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h148,h149,h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h150,h151])],[ax4,100,h150,h151]) ).
thf(102,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h146,h147,h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h148,h149])],[h147,101,h148,h149]) ).
thf(103,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h144,h145,h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h146,h147])],[h145,102,h146,h147]) ).
thf(ax6,axiom,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ ( inv @ e0 ) ) @ e0 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ ( inv @ e1 ) ) @ e1 @ X1 ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ ( inv @ e2 ) ) @ e2 @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ ( inv @ ( inv @ e3 ) ) @ e3 @ X1 ) ) ) ) ) ).
thf(104,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h142,h143,h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h144,h145])],[ax6,103,h144,h145]) ).
thf(105,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h140,h141,h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h142,h143])],[h141,104,h142,h143]) ).
thf(106,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h138,h139,h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h140,h141])],[h139,105,h140,h141]) ).
thf(107,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h136,h137,h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h138,h139])],[h137,106,h138,h139]) ).
thf(108,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h134,h135,h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h136,h137])],[h135,107,h136,h137]) ).
thf(109,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h132,h133,h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h134,h135])],[h133,108,h134,h135]) ).
thf(110,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h130,h131,h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h132,h133])],[h131,109,h132,h133]) ).
thf(111,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h128,h129,h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h130,h131])],[h129,110,h130,h131]) ).
thf(112,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h126,h127,h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h128,h129])],[h127,111,h128,h129]) ).
thf(113,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h124,h125,h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h126,h127])],[h125,112,h126,h127]) ).
thf(114,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h122,h123,h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h124,h125])],[h123,113,h124,h125]) ).
thf(ax7,axiom,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ e1 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e0 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ e2 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e0 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ e3 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e0 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e0 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ e1 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e2 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e1 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e3 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e1 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e0 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ e2 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e1 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e2 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e3 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e2 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e0 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ e3 @ X2 ) ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e1 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ e3 @ X2 ) ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e3 ) @ e2 @ X2 ) )
=> ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ e3 @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(115,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h120,h121,h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h122,h123])],[ax7,114,h122,h123]) ).
thf(116,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h118,h119,h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h120,h121])],[h119,115,h120,h121]) ).
thf(117,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h116,h117,h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h118,h119])],[h117,116,h118,h119]) ).
thf(118,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h114,h115,h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h116,h117])],[h115,117,h116,h117]) ).
thf(119,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h112,h113,h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h114,h115])],[h113,118,h114,h115]) ).
thf(ax8,axiom,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ ( inv @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ ( inv @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e0 ) @ ( inv @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ ( inv @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e1 ) @ ( inv @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( inv @ e2 ) @ ( inv @ e3 ) @ X2 ) ) ) ) ) ) ) ) ).
thf(120,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h110,h111,h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h112,h113])],[ax8,119,h112,h113]) ).
thf(121,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h108,h109,h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h110,h111])],[h109,120,h110,h111]) ).
thf(122,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h106,h107,h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h108,h109])],[h107,121,h108,h109]) ).
thf(123,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h104,h105,h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h106,h107])],[h105,122,h106,h107]) ).
thf(124,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h102,h103,h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h104,h105])],[h103,123,h104,h105]) ).
thf(125,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h100,h101,h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h102,h103])],[h101,124,h102,h103]) ).
thf(126,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h98,h99,h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h100,h101])],[h99,125,h100,h101]) ).
thf(127,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h96,h97,h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h98,h99])],[h97,126,h98,h99]) ).
thf(128,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h94,h95,h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h96,h97])],[h95,127,h96,h97]) ).
thf(129,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h92,h93,h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h94,h95])],[h93,128,h94,h95]) ).
thf(130,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h90,h91,h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h92,h93])],[h91,129,h92,h93]) ).
thf(131,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h88,h89,h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h90,h91])],[h89,130,h90,h91]) ).
thf(132,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h86,h87,h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h88,h89])],[h87,131,h88,h89]) ).
thf(133,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h84,h85,h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h86,h87])],[h85,132,h86,h87]) ).
thf(134,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h84,h85])],[h83,133,h84,h85]) ).
thf(135,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h82,h83])],[h81,134,h82,h83]) ).
thf(136,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h80,h81])],[h79,135,h80,h81]) ).
thf(137,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h78,h79])],[h77,136,h78,h79]) ).
thf(138,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h76,h77])],[h75,137,h76,h77]) ).
thf(139,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h74,h75])],[h73,138,h74,h75]) ).
thf(140,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h72,h73])],[h71,139,h72,h73]) ).
thf(141,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h70,h71])],[h69,140,h70,h71]) ).
thf(142,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h68,h69])],[h67,141,h68,h69]) ).
thf(143,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h66,h67])],[h65,142,h66,h67]) ).
thf(144,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h62,h63,h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h64,h65])],[h63,143,h64,h65]) ).
thf(145,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h60,h61,h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h62,h63])],[h61,144,h62,h63]) ).
thf(146,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h58,h59,h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h60,h61])],[h59,145,h60,h61]) ).
thf(147,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h56,h57,h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h58,h59])],[h57,146,h58,h59]) ).
thf(148,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h54,h55,h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h56,h57])],[h55,147,h56,h57]) ).
thf(149,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h52,h53,h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h54,h55])],[h53,148,h54,h55]) ).
thf(150,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h50,h51,h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h52,h53])],[h51,149,h52,h53]) ).
thf(151,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h48,h49,h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h50,h51])],[h49,150,h50,h51]) ).
thf(152,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h46,h47,h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h48,h49])],[h47,151,h48,h49]) ).
thf(153,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h44,h45,h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h46,h47])],[h45,152,h46,h47]) ).
thf(154,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h44,h45])],[h43,153,h44,h45]) ).
thf(155,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h42,h43])],[h41,154,h42,h43]) ).
thf(156,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h40,h41])],[h39,155,h40,h41]) ).
thf(157,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h38,h39])],[h37,156,h38,h39]) ).
thf(158,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h36,h37])],[h35,157,h36,h37]) ).
thf(159,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h34,h35])],[h33,158,h34,h35]) ).
thf(160,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h32,h33])],[h31,159,h32,h33]) ).
thf(161,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h30,h31])],[h29,160,h30,h31]) ).
thf(162,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h28,h29])],[h27,161,h28,h29]) ).
thf(163,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h26,h27])],[h25,162,h26,h27]) ).
thf(164,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h22,h23,h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h24,h25])],[h23,163,h24,h25]) ).
thf(165,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h20,h21,h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h22,h23])],[h21,164,h22,h23]) ).
thf(166,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h18,h19,h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h20,h21])],[h19,165,h20,h21]) ).
thf(ax9,axiom,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e1 @ e0 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e2 @ e0 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e3 @ e0 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e2 @ e0 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e3 @ e0 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e3 @ e0 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e3 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e1 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e0 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e0 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e1 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e1 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e0 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e2 ) @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e3 ) @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e3 ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(167,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h16,h17,h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h18,h19])],[ax9,166,h18,h19]) ).
thf(168,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h14,h15,h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h16,h17])],[h15,167,h16,h17]) ).
thf(169,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h12,h13,h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h14,h15])],[h13,168,h14,h15]) ).
thf(170,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h10,h11,h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h12,h13])],[h11,169,h12,h13]) ).
thf(171,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h8,h9,h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h10,h11])],[h9,170,h10,h11]) ).
thf(ax10,axiom,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ e0 @ e1 @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ e0 @ e2 @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ e0 @ e3 @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ e1 @ e2 @ X2 ) ) )
=> ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ e1 @ e3 @ X2 ) ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ e2 @ e3 @ X2 ) ) ) ) ) ) ) ) ).
thf(172,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h6,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h8,h9])],[ax10,171,h8,h9]) ).
thf(ax11,axiom,
~ ( ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ e0 @ ( op @ e3 @ e3 ) @ X1 ) )
=> ~ ! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( qmltpeq @ e1 @ ( op @ e2 @ e3 ) @ X1 ) ) ) ).
thf(173,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h6,h7])],[ax11,172,h6,h7]) ).
thf(174,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h2,h3,h1,h0]),tab_negimp(discharge,[h4,h5])],[h3,173,h4,h5]) ).
thf(175,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h1,h0]),tab_negimp(discharge,[h2,h3])],[h1,174,h2,h3]) ).
thf(176,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,175,h1]) ).
thf(0,theorem,
! [X1: mworld] :
( ( mrel @ mactual @ X1 )
=> ( ( ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ X2 ) )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ X2 ) )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ X2 ) )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ X2 ) ) ) ) )
=> ( ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ X2 ) )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ X2 ) )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ X2 ) )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ X2 ) ) ) ) )
=> ( ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ X2 ) )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ X2 ) )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ X2 ) )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ X2 ) ) ) ) )
=> ~ ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ X2 ) )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ X2 ) )
=> ( ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ X2 ) )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ X2 ) ) ) ) ) ) ) )
=> ~ ! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ~ ( ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ X3 ) )
=> ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ X3 ) )
=> ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ X3 ) )
=> ~ ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ X3 ) ) ) ) )
=> ( ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ X3 ) )
=> ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ X3 ) )
=> ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ X3 ) )
=> ~ ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ X3 ) ) ) ) )
=> ( ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ X3 ) )
=> ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ X3 ) )
=> ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ X3 ) )
=> ~ ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ X3 ) ) ) ) )
=> ~ ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ X3 ) )
=> ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ X3 ) )
=> ( ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ X3 ) )
=> ~ ! [X3: mworld] :
( ( mrel @ X2 @ X3 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ X3 ) ) ) ) ) ) ) ) ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[176,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL942^2 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 4 16:00:08 UTC 2026
% 0.10/0.37 % CPUTime :
% 1.15/1.41 % SZS status Theorem
% 1.15/1.41 % Mode: cade22grackle2xfee4
% 1.15/1.41 % Steps: 35001
% 1.15/1.41 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------