%------------------------------------------------------------------------------ % File : iProver-SAT---3.9.4 % Problem : ITP399_10 : TPTP v9.3.1. Released v8.2.0. % Transfm : none % Format : tptp:raw % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p SAT % Computer : n009.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 : Fri Sep 25 01:51:16 PM UTC 2026 % Result : Satisfiable 3.41s 1.19s % Output : Model 4.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : ITP399_10 : TPTP v9.3.1. Released v8.2.0. % 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p SAT % 0.10/0.37 % Computer : n009.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 : Wed Sep 23 18:32:13 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p SAT % 0.10/0.40 Running model finding % 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fnt_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.10/0.42 % 0.10/0.42 % ======== iProver multi-core TPTP/SMT ========= % 0.10/0.42 % 0.10/0.42 % Detected problem language: tptp % 0.10/0.43 % Proving... % 3.41/1.19 % SZS status Started for theBenchmark.p % 3.41/1.19 % SZS status Satisfiable for theBenchmark.p % 3.41/1.19 % 3.41/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------% % 3.41/1.19 % 3.41/1.19 ------ iProver source info % 3.41/1.19 % 3.41/1.19 git: date: 2026-07-19 20:42:38 +0200 % 3.41/1.19 git: sha1: 804e7d636a263075307957e923b7a22a4035de61 % 3.41/1.19 git: non_committed_changes: false % 3.41/1.19 % 3.41/1.19 ------ Parsing... % 3.41/1.19 ------ Clausification by vclausify_rel & Parsing by iProver... % 3.41/1.19 ------ Proving... % 3.41/1.19 ------ Problem Properties % 3.41/1.19 % 3.41/1.19 % 3.41/1.19 clauses 817 % 3.41/1.19 conjectures 0 % 3.41/1.19 EPR 101 % 3.41/1.19 Horn 782 % 3.41/1.19 unary 90 % 3.41/1.19 binary 328 % 3.41/1.19 lits 2093 % 3.41/1.19 lits eq 550 % 3.41/1.19 fd_pure 0 % 3.41/1.19 fd_pseudo 0 % 3.41/1.19 fd_cond 6 % 3.41/1.19 fd_pseudo_cond 19 % 3.41/1.19 AC symbols 0 % 3.41/1.19 % 3.41/1.19 ------ Input Options Time Limit: Unbounded % 3.41/1.19 % 3.41/1.19 % 3.41/1.19 ------ Finite Models: % 3.41/1.19 % 3.41/1.19 ------ lit_activity_flag true % 3.41/1.19 % 3.41/1.19 % 3.41/1.19 ------ Trying domains of size >= : 1 % 3.41/1.19 ------ % 3.41/1.19 Current options: % 3.41/1.19 ------ % 3.41/1.19 % 3.41/1.19 ------ Input Options % 3.41/1.19 % 3.41/1.19 --out_options all % 3.41/1.19 --tptp_safe_out true % 3.41/1.19 --problem_path "" % 3.41/1.19 --include_path "" % 3.41/1.19 --clausifier res/vclausify_rel % 3.41/1.19 --clausifier_options --mode tclausify --show_fool true -t 101.66 -updr off % 3.41/1.19 --stdin false % 3.41/1.19 --proof_out true % 3.41/1.19 --proof_dot_file "" % 3.41/1.19 --proof_reduce_dot [] % 3.41/1.19 --suppress_sat_res false % 3.41/1.19 --suppress_unsat_res true % 3.41/1.19 --stats_out none % 3.41/1.19 --stats_mem false % 3.41/1.19 --theory_stats_out false % 3.41/1.19 % 3.41/1.19 ------ General Options % 3.41/1.19 % 3.41/1.19 --fof false % 3.41/1.19 --time_out_real 304.97 % 3.41/1.19 --time_out_virtual -1. % 3.41/1.19 --rnd_seed 13 % 3.41/1.19 --symbol_type_check false % 3.41/1.19 --clausify_out false % 3.41/1.19 --sig_cnt_out false % 3.41/1.19 --trig_cnt_out false % 3.41/1.19 --trig_cnt_out_tolerance 1. % 3.41/1.19 --trig_cnt_out_sk_spl false % 3.41/1.19 --abstr_cl_out false % 3.41/1.19 % 3.41/1.19 ------ Interactive Mode % 3.41/1.19 % 3.41/1.19 --interactive_mode false % 3.41/1.19 --external_ip_address "" % 3.41/1.19 --external_port 0 % 3.41/1.19 % 3.41/1.19 ------ Global Options % 3.41/1.19 % 3.41/1.19 --schedule none % 3.41/1.19 --add_important_lit false % 3.41/1.19 --prop_solver_per_cl 500 % 3.41/1.19 --subs_bck_mult 8 % 3.41/1.19 --min_unsat_core false % 3.41/1.19 --soft_assumptions false % 3.41/1.19 --soft_lemma_size 3 % 3.41/1.19 --prop_impl_unit_size 0 % 3.41/1.19 --prop_impl_unit [] % 3.41/1.19 --share_sel_clauses true % 3.41/1.19 --reset_solvers false % 3.41/1.19 --bc_imp_inh [conj_cone] % 3.41/1.19 --conj_cone_tolerance 3. % 3.41/1.19 --extra_neg_conj none % 3.41/1.19 --large_theory_mode true % 3.41/1.19 --prolific_symb_bound 200 % 3.41/1.19 --lt_threshold 2000 % 3.41/1.19 --clause_weak_htbl true % 3.41/1.19 --gc_record_bc_elim false % 3.41/1.19 % 3.41/1.19 ------ Preprocessing Options % 3.41/1.19 % 3.41/1.19 --preprocessing_flag false % 3.41/1.19 --time_out_prep_mult 0.1 % 3.41/1.19 --splitting_mode input % 3.41/1.19 --splitting_grd true % 3.41/1.19 --splitting_cvd false % 3.41/1.19 --splitting_cvd_svl false % 3.41/1.19 --splitting_nvd 32 % 3.41/1.19 --sub_typing false % 3.41/1.19 --prep_eq_flat_conj false % 3.41/1.19 --prep_ineq_split false % 3.41/1.19 --prep_eq_flat_all_gr false % 3.41/1.19 --prep_gs_sim true % 3.41/1.19 --prep_unflatten true % 3.41/1.19 --prep_res_sim true % 3.41/1.19 --prep_sup_sim_all true % 3.41/1.19 --prep_sup_sim_sup false % 3.41/1.19 --prep_upred true % 3.41/1.19 --prep_well_definedness true % 3.41/1.19 --prep_sem_filter exhaustive % 3.41/1.19 --prep_sem_filter_out false % 3.41/1.19 --pred_elim true % 3.41/1.19 --res_sim_input true % 3.41/1.19 --eq_ax_congr_red true % 3.41/1.19 --pure_diseq_elim true % 3.41/1.19 --brand_transform false % 3.41/1.19 --non_eq_to_eq false % 3.41/1.19 --prep_eq_proxy false % 3.41/1.19 --prep_def_merge true % 3.41/1.19 --prep_def_merge_prop_impl false % 3.41/1.19 --prep_def_merge_mbd true % 3.41/1.19 --prep_def_merge_tr_red false % 3.41/1.19 --prep_def_merge_tr_cl false % 3.41/1.19 --smt_preprocessing false % 3.41/1.19 --smt_ac_axioms fast % 3.41/1.19 --preprocessed_out false % 3.41/1.19 --preprocessed_stats false % 3.41/1.19 % 3.41/1.19 ------ Abstraction refinement Options % 3.41/1.19 % 3.41/1.19 --abstr_ref [] % 3.41/1.19 --abstr_ref_prep false % 3.41/1.19 --abstr_ref_until_sat false % 3.41/1.19 --abstr_ref_sig_restrict funpre % 3.41/1.19 --abstr_ref_af_restrict_to_split_sk false % 3.41/1.19 --abstr_ref_under [] % 3.41/1.19 % 3.41/1.19 ------ SAT Options % 3.41/1.19 % 3.41/1.19 --sat_mode true % 3.41/1.19 --sat_fm_restart_options "" % 3.41/1.19 --sat_gr_def false % 3.41/1.19 --sat_epr_types false % 3.41/1.19 --sat_non_cyclic_types false % 3.41/1.19 --sat_finite_models true % 3.41/1.19 --sat_fm_lemmas false % 3.41/1.19 --sat_fm_prep false % 3.41/1.19 --sat_fm_uc_incr false % 3.41/1.19 --sat_out_model pos % 3.41/1.19 --sat_out_clauses false % 3.41/1.19 % 3.41/1.19 ------ QBF Options % 3.41/1.19 % 3.41/1.19 --qbf_mode false % 3.41/1.19 --qbf_elim_univ false % 3.41/1.19 --qbf_dom_inst none % 3.41/1.19 --qbf_dom_pre_inst false % 3.41/1.19 --qbf_sk_in false % 3.41/1.19 --qbf_pred_elim true % 3.41/1.19 --qbf_split 512 % 3.41/1.19 % 3.41/1.19 ------ BMC1 Options % 3.41/1.19 % 3.41/1.19 --bmc1_incremental false % 3.41/1.19 --bmc1_axioms reachable_all % 3.41/1.19 --bmc1_min_bound 0 % 3.41/1.19 --bmc1_max_bound -1 % 3.41/1.19 --bmc1_max_bound_default -1 % 3.41/1.19 --bmc1_symbol_reachability true % 3.41/1.19 --bmc1_property_lemmas false % 3.41/1.19 --bmc1_k_induction false % 3.41/1.19 --bmc1_non_equiv_states false % 3.41/1.19 --bmc1_deadlock false % 3.41/1.19 --bmc1_ucm false % 3.41/1.19 --bmc1_add_unsat_core none % 3.41/1.19 --bmc1_unsat_core_children false % 3.41/1.19 --bmc1_unsat_core_extrapolate_axioms false % 3.41/1.19 --bmc1_out_stat full % 3.41/1.19 --bmc1_ground_init false % 3.41/1.19 --bmc1_pre_inst_next_state false % 3.41/1.19 --bmc1_pre_inst_state false % 3.41/1.19 --bmc1_pre_inst_reach_state false % 3.41/1.19 --bmc1_out_unsat_core false % 3.41/1.19 --bmc1_aig_witness_out false % 3.41/1.19 --bmc1_verbose false % 3.41/1.19 --bmc1_dump_clauses_tptp false % 3.41/1.19 --bmc1_dump_unsat_core_tptp false % 3.41/1.19 --bmc1_dump_file - % 3.41/1.19 --bmc1_ucm_expand_uc_limit 128 % 3.41/1.19 --bmc1_ucm_n_expand_iterations 6 % 3.41/1.19 --bmc1_ucm_extend_mode 1 % 3.41/1.19 --bmc1_ucm_init_mode 2 % 3.41/1.19 --bmc1_ucm_cone_mode none % 3.41/1.19 --bmc1_ucm_reduced_relation_type 0 % 3.41/1.19 --bmc1_ucm_relax_model 4 % 3.41/1.19 --bmc1_ucm_full_tr_after_sat true % 3.41/1.19 --bmc1_ucm_expand_neg_assumptions false % 3.41/1.19 --bmc1_ucm_layered_model none % 3.41/1.19 --bmc1_ucm_max_lemma_size 10 % 3.41/1.19 % 3.41/1.19 ------ AIG Options % 3.41/1.19 % 3.41/1.19 --aig_mode false % 3.41/1.19 % 3.41/1.19 ------ Instantiation Options % 3.41/1.19 % 3.41/1.19 --instantiation_flag true % 3.41/1.19 --inst_sos_flag false % 3.41/1.19 --inst_sos_phase true % 3.41/1.19 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb] % 3.41/1.19 --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb] % 3.41/1.19 --inst_lit_sel_side num_symb % 3.41/1.19 --inst_solver_per_active 1400 % 3.41/1.19 --inst_solver_calls_frac 1. % 3.41/1.19 --inst_to_smt_solver true % 3.41/1.19 --inst_passive_queue_type priority_queues % 3.41/1.19 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]] % 3.41/1.19 --inst_passive_queues_freq [25;2] % 3.41/1.19 --inst_dismatching true % 3.41/1.19 --inst_eager_unprocessed_to_passive true % 3.41/1.19 --inst_unprocessed_bound 1000 % 3.41/1.19 --inst_prop_sim_given true % 3.41/1.19 --inst_prop_sim_new false % 3.41/1.19 --inst_subs_new false % 3.41/1.19 --inst_eq_res_simp false % 3.41/1.19 --inst_subs_given false % 3.41/1.19 --inst_orphan_elimination true % 3.41/1.19 --inst_learning_loop_flag true % 3.41/1.19 --inst_learning_start 3000 % 3.41/1.19 --inst_learning_factor 2 % 3.41/1.19 --inst_start_prop_sim_after_learn 3 % 3.41/1.19 --inst_sel_renew solver % 3.41/1.19 --inst_lit_activity_flag true % 3.41/1.19 --inst_restr_to_given false % 3.41/1.19 --inst_activity_threshold 500 % 3.41/1.19 % 3.41/1.19 ------ Resolution Options % 3.41/1.19 % 3.41/1.19 --resolution_flag false % 3.41/1.19 --res_lit_sel adaptive % 3.41/1.19 --res_lit_sel_side none % 3.41/1.19 --res_ordering kbo % 3.41/1.19 --res_to_prop_solver active % 3.41/1.19 --res_prop_simpl_new false % 3.41/1.19 --res_prop_simpl_given true % 3.41/1.19 --res_to_smt_solver true % 3.41/1.19 --res_passive_queue_type priority_queues % 3.41/1.19 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]] % 3.41/1.19 --res_passive_queues_freq [15;5] % 3.41/1.19 --res_forward_subs full % 3.41/1.19 --res_backward_subs full % 3.41/1.19 --res_forward_subs_resolution true % 3.41/1.20 --res_backward_subs_resolution true % 3.41/1.20 --res_orphan_elimination true % 3.41/1.20 --res_time_limit 300. % 3.41/1.20 % 3.41/1.20 ------ Superposition Options % 3.41/1.20 % 3.41/1.20 --superposition_flag false % 3.41/1.20 --sup_passive_queue_type priority_queues % 3.41/1.20 --sup_passive_queues [[-conj_dist;-num_symb];[+score;+min_def_symb;-max_atom_input_occur;+conj_non_prolific_symb];[+age;-num_symb];[+score;-num_symb]] % 3.41/1.20 --sup_passive_queues_freq [8;1;4;4] % 3.41/1.20 --twee_lhs_weight 4 % 3.41/1.20 --sup_set_join false % 3.41/1.20 --sup_set_join_goals true % 3.41/1.20 --sup_set_join_limit 1000 % 3.41/1.20 --demod_completeness_check fast % 3.41/1.20 --demod_use_ground true % 3.41/1.20 --sup_unprocessed_bound 0 % 3.41/1.20 --sup_to_prop_solver passive % 3.41/1.20 --sup_prop_simpl_new true % 3.41/1.20 --sup_prop_simpl_given true % 3.41/1.20 --sup_fun_splitting false % 3.41/1.20 --sup_iter_deepening 2 % 3.41/1.20 --sup_restarts_mult 12 % 3.41/1.20 --sup_score sim_d_gen % 3.41/1.20 --sup_share_score_frac 0.2 % 3.41/1.20 --sup_share_max_num_cl 500 % 3.41/1.20 --sup_ordering kbo % 3.41/1.20 --sup_symb_ordering invfreq % 3.41/1.20 --sup_term_weight default % 3.41/1.20 % 3.41/1.20 ------ Superposition Simplification Setup % 3.41/1.20 % 3.41/1.20 --sup_indices_passive [LightNormIndex;FwDemodIndex] % 3.41/1.20 --sup_full_triv [SMTSimplify;PropSubs] % 3.41/1.20 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] % 3.41/1.20 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] % 3.41/1.20 --sup_immed_triv [] % 3.41/1.20 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes] % 3.41/1.20 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes] % 3.41/1.20 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod] % 3.41/1.20 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] % 3.41/1.20 --sup_input_triv [Unflattening;SMTSimplify] % 3.41/1.20 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] % 3.41/1.20 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] % 3.41/1.20 --sup_full_fixpoint true % 3.41/1.20 --sup_main_fixpoint true % 3.41/1.20 --sup_immed_fixpoint false % 3.41/1.20 --sup_input_fixpoint true % 3.41/1.20 --sup_cache_sim none % 3.41/1.20 --sup_smt_interval 500 % 3.41/1.20 --sup_bw_gjoin_interval 0 % 3.41/1.20 % 3.41/1.20 ------ Combination Options % 3.41/1.20 % 3.41/1.20 --comb_mode clause_based % 3.41/1.20 --comb_inst_mult 5 % 3.41/1.20 --comb_res_mult 1 % 3.41/1.20 --comb_sup_mult 8 % 3.41/1.20 --comb_sup_deep_mult 2 % 3.41/1.20 % 3.41/1.20 ------ Debug Options % 3.41/1.20 % 3.41/1.20 --dbg_backtrace false % 3.41/1.20 --dbg_dump_prop_clauses false % 3.41/1.20 --dbg_dump_prop_clauses_file - % 3.41/1.20 --dbg_out_stat false % 3.41/1.20 --dbg_just_parse false % 3.41/1.20 % 3.41/1.20 % 3.41/1.20 % 3.41/1.20 % 3.41/1.20 ------ Proving... % 3.41/1.20 % 3.41/1.20 % 3.41/1.20 % SZS status Satisfiable for theBenchmark.p % 3.41/1.20 % 3.41/1.20 ------ Building Model...Done % 3.41/1.20 % 3.41/1.20 %------ The model is defined over ground terms (initial term algebra). % 3.41/1.20 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) % 3.41/1.20 %------ where \phi is a formula over the term algebra. % 3.41/1.20 %------ If we have equality in the problem then it is also defined as a predicate above, % 3.41/1.20 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type % 3.41/1.20 %------ See help for --sat_out_model for different model outputs. % 3.41/1.20 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "=" % 3.41/1.20 %------ where the first argument stands for the sort ($i in the unsorted case) % 3.41/1.20 % SZS output start Model for theBenchmark.p % 3.41/1.20 % 3.41/1.20 %------ Positive definition of equality_sorted % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_tType,X0_'B_ell2_b_ell2_cblinfun_set',X1_'B_ell2_b_ell2_cblinfun_set'] : % 3.41/1.20 ( equality_sorted(X0_tType,X0_'B_ell2_b_ell2_cblinfun_set',X1_'B_ell2_b_ell2_cblinfun_set') <=> % 3.41/1.20 ( % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='A_ell2_a_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='A_ell2_a_ell2_cblinfun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='B_ell2_b_ell2_cblinfun_set$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='B_ell2_b_ell2_cblinfun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='B_b_prod_ell2_b_b_prod_ell2_cblinfun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='B$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='A_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='A_ell2_a_ell2_cblinfun_set$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='A_ell2_a_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='C$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='A$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 | % 3.41/1.20 ( % 3.41/1.20 ( X0_tType='A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ) % 3.41/1.20 ) % 3.41/1.20 % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'complements$ad' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'complements$ad'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 3.41/1.20 $true % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'bij_betw$s' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set'] : % 3.41/1.20 ( 'bij_betw$s'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set') <=> % 3.41/1.20 $true % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'bij_betw$l' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set'] : % 3.41/1.20 ( 'bij_betw$l'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set') <=> % 3.41/1.20 $true % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'iso_register$a' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'iso_register$a'(X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 3.41/1.20 $false % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'register$aq' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'register$aq'(X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 3.41/1.20 $true % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'complements$y' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'A_c_prod_a_prod_ell2_a_c_prod_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'complements$y'(X0_'A_c_prod_a_prod_ell2_a_c_prod_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 3.41/1.20 $true % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'complements$r' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'complements$r'(X0_'C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 3.41/1.20 $false % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'register$o' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'register$o'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 3.41/1.20 $true % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'bij_betw$ab' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set'] : % 3.41/1.20 ( 'bij_betw$ab'(X0_'A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set') <=> % 3.41/1.20 $true % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'member$b' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set'] : % 3.41/1.20 ( 'member$b'(X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set') <=> % 3.41/1.20 $true % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'complements$' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'complements$'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 3.41/1.20 $true % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'iso_register$ab' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'iso_register$ab'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 3.41/1.20 $false % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'equivalent_registers$d' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'equivalent_registers$d'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 3.41/1.20 $false % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'equivalent_registers$ac' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'equivalent_registers$ac'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 3.41/1.20 $false % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'bij_betw$q' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set'] : % 3.41/1.20 ( 'bij_betw$q'(X0_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set') <=> % 3.41/1.20 $true % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'equivalent_registers$ah' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'equivalent_registers$ah'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 3.41/1.20 $true % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'compatible$ar' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X1_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'compatible$ar'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X1_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 3.41/1.20 $false % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'regular_register$b' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'regular_register$b'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 3.41/1.20 $false % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'compatible$l' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'compatible$l'(X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 3.41/1.20 $true % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'complements$w' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_b_complement_domain_a_b_complement_domain_prod_ell2_c_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'complements$w'(X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_b_complement_domain_a_b_complement_domain_prod_ell2_c_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 3.41/1.20 $true % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'compatible$m' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'compatible$m'(X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 3.41/1.20 $true % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'compatible$u' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'compatible$u'(X0_'C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 3.41/1.20 $false % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'compatible$aw' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'compatible$aw'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 3.41/1.20 $true % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'bij_betw$ad' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_set'] : % 3.41/1.20 ( 'bij_betw$ad'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_set') <=> % 3.41/1.20 $true % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'register$g' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'register$g'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 3.41/1.20 $true % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'equivalent_registers$at' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'equivalent_registers$at'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 3.41/1.20 $true % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'bij_betw$c' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set'] : % 3.41/1.20 ( 'bij_betw$c'(X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set') <=> % 3.41/1.20 $true % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'compatible$f' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'compatible$f'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 3.41/1.20 $true % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'register$ad' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'register$ad'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 3.41/1.20 $true % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'iso_register$j' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'iso_register$j'(X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 3.41/1.20 $true % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'complements$z' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'complements$z'(X0_'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 3.41/1.20 $true % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'regular_register$h' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'regular_register$h'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 3.41/1.20 $false % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'bij_betw$ae' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_set'] : % 3.41/1.20 ( 'bij_betw$ae'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_set') <=> % 3.41/1.20 $true % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'compatible$o' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'compatible$o'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 3.41/1.20 $true % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'register$d' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'register$d'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 3.41/1.20 $true % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'regular_register$g' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'regular_register$g'(X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 3.41/1.20 $false % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'compatible$ag' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'compatible$ag'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 3.41/1.20 $false % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'equivalent_registers$c' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'A_b_complement_domain_b_complement_domain_ell2_a_b_complement_domain_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'equivalent_registers$c'(X0_'A_b_complement_domain_b_complement_domain_ell2_a_b_complement_domain_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 3.41/1.20 $true % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'member$c' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set'] : % 3.41/1.20 ( 'member$c'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set') <=> % 3.41/1.20 $true % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'compatible$ac' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'compatible$ac'(X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 3.41/1.20 $false % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'complements$x' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_b_complement_domain_c_b_complement_domain_prod_ell2_c_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'complements$x'(X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_b_complement_domain_c_b_complement_domain_prod_ell2_c_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 3.41/1.20 $true % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'compatible$ae' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'compatible$ae'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 3.41/1.20 $false % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'complements$m' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'complements$m'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 3.41/1.20 $true % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'iso_register$z' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 3.41/1.20 ( 'iso_register$z'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 3.41/1.20 $true % 3.41/1.20 ) % 3.41/1.20 ) % 3.41/1.20 ). % 3.41/1.20 % 3.41/1.20 %------ Positive definition of 'equivalent_registers$j' % 3.41/1.20 fof(lit_def,axiom, % 3.41/1.20 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'equivalent_registers$j'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $false % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'register$ae' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'register$ae'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'equivalent_registers$ad' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'equivalent_registers$ad'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.20 $false % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'iso_register$q' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'iso_register$q'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'regular_register$f' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'regular_register$f'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.28/1.20 $false % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'bij_betw$aa' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_set'] : % 4.28/1.20 ( 'bij_betw$aa'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_set') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'fun_app$be' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'B_ell2_b_ell2_cblinfun_bool_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 4.28/1.20 ( 'fun_app$be'(X0_'B_ell2_b_ell2_cblinfun_bool_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'equivalent_registers$' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'equivalent_registers$'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'compatible$b' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'compatible$b'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'bij_betw$ac' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set'] : % 4.28/1.20 ( 'bij_betw$ac'(X0_'A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'compatible$j' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'compatible$j'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'register$ak' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'register$ak'(X0_'C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'complements$o' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'complements$o'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'equivalent_registers$p' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'equivalent_registers$p'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $false % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'register$r' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'register$r'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.20 $false % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'equivalent_registers$m' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'equivalent_registers$m'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'register$e' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'register$e'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'register$ac' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'register$ac'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'iso_register$b' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'iso_register$b'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'iso_register$' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'iso_register$'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'compatible$a' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'compatible$a'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'compatible$ah' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'compatible$ah'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $false % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'bij_betw$z' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set'] : % 4.28/1.20 ( 'bij_betw$z'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'bij_betw$r' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set'] : % 4.28/1.20 ( 'bij_betw$r'(X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'bij_betw$i' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set'] : % 4.28/1.20 ( 'bij_betw$i'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set') <=> % 4.28/1.20 $false % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'register$ah' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'register$ah'(X0_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'register$b' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'register$b'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.20 $false % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'equivalent_registers$au' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'equivalent_registers$au'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'compatible$ab' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'compatible$ab'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'complements$g' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'complements$g'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'fun_app$ba' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_bool_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.20 ( 'fun_app$ba'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_bool_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'complements$v' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_c_b_complement_domain_prod_ell2_a_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'complements$v'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_c_b_complement_domain_prod_ell2_a_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'iso_register$ac' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'iso_register$ac'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.20 $false % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'compatible$' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'compatible$'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'complements$f' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'complements$f'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'register$ai' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'register$ai'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'bij_betw$e' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set'] : % 4.28/1.20 ( 'bij_betw$e'(X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'register$c' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'register$c'(X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.20 $false % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'iso_register$h' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'iso_register$h'(X0_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'complements$aa' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'complements$aa'(X0_'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'register$j' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'register$j'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $false % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'compatible$d' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'compatible$d'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'register$k' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'register$k'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'fun_app$bb' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'] : % 4.28/1.20 ( 'fun_app$bb'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'bij_betw$' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set'] : % 4.28/1.20 ( 'bij_betw$'(X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'complements$j' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'complements$j'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'iso_register$g' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'iso_register$g'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'complements$ac' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_c_prod_a_c_prod_prod_ell2_a_c_prod_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'complements$ac'(X0_'A_c_prod_a_c_prod_prod_ell2_a_c_prod_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'complements$d' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'complements$d'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'complements$e' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'complements$e'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'complements$b' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'complements$b'(X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'bij_betw$w' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X1_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set'] : % 4.28/1.20 ( 'bij_betw$w'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X1_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set') <=> % 4.28/1.20 ( % 4.28/1.20 ( % 4.28/1.20 ( X1_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set'=X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set' ) % 4.28/1.20 ) % 4.28/1.20 % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'compatible$e' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'compatible$e'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'register$af' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'register$af'(X0_'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'complements$t' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'complements$t'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $false % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'bij_betw$n' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set'] : % 4.28/1.20 ( 'bij_betw$n'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'bij_betw$v' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set'] : % 4.28/1.20 ( 'bij_betw$v'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set') <=> % 4.28/1.20 ( % 4.28/1.20 ( % 4.28/1.20 ( X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set'=X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set' ) % 4.28/1.20 ) % 4.28/1.20 % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'complements$i' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'complements$i'(X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'regular_register$d' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'regular_register$d'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.28/1.20 $false % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'register$u' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'register$u'(X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.20 $false % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'register$m' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'register$m'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'register$t' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'register$t'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.28/1.20 $false % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'register$a' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'register$a'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'register$aa' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'register$aa'(X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'equivalent_registers$k' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'equivalent_registers$k'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $false % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'complements$ab' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_a_c_prod_prod_ell2_c_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_c_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'complements$ab'(X0_'C_a_c_prod_prod_ell2_c_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_c_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'equivalent_registers$y' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'equivalent_registers$y'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $false % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'compatible$k' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'compatible$k'(X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'iso_register$e' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'iso_register$e'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'compatible$af' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'compatible$af'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $false % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'register$z' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'register$z'(X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'compatible$c' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'compatible$c'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'equivalent_registers$b' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'equivalent_registers$b'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'bij_betw$a' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X1_'B_ell2_b_ell2_cblinfun_set'] : % 4.28/1.20 ( 'bij_betw$a'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X1_'B_ell2_b_ell2_cblinfun_set') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'equivalent_registers$n' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'equivalent_registers$n'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $false % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'compatible$n' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'compatible$n'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'compatible$i' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'compatible$i'(X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'register$s' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'register$s'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.28/1.20 $false % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'bij_betw$m' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set'] : % 4.28/1.20 ( 'bij_betw$m'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'iso_register$s' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'iso_register$s'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'compatible$ad' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'compatible$ad'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $false % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'equivalent_registers$ab' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'equivalent_registers$ab'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $false % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'equivalent_registers$a' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'equivalent_registers$a'(X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'compatible$ax' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'compatible$ax'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.20 $false % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'iso_register$f' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'iso_register$f'(X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'regular_register$a' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'regular_register$a'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'bij_betw$h' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set'] : % 4.28/1.20 ( 'bij_betw$h'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set') <=> % 4.28/1.20 $false % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'compatible$g' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'compatible$g'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'iso_register$v' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'iso_register$v'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $false % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'register$' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'register$'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'member$d' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set'] : % 4.28/1.20 ( 'member$d'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'complements$h' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'complements$h'(X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'bij_betw$y' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set',X1_'A_ell2_a_ell2_cblinfun_set'] : % 4.28/1.20 ( 'bij_betw$y'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set',X1_'A_ell2_a_ell2_cblinfun_set') <=> % 4.28/1.20 ( % 4.28/1.20 ( % 4.28/1.20 ( X1_'A_ell2_a_ell2_cblinfun_set'=X0_'A_ell2_a_ell2_cblinfun_set' ) % 4.28/1.20 ) % 4.28/1.20 % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'equivalent_registers$r' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'equivalent_registers$r'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $false % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'equivalent_registers$g' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'equivalent_registers$g'(X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $false % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'member$e' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set'] : % 4.28/1.20 ( 'member$e'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'bij_betw$o' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set'] : % 4.28/1.20 ( 'bij_betw$o'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'equivalent_registers$f' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'equivalent_registers$f'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $false % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'iso_register$r' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'iso_register$r'(X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'register$f' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'register$f'(X0_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'bij_betw$d' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set'] : % 4.28/1.20 ( 'bij_betw$d'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'register$ag' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'register$ag'(X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'bij_betw$b' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set'] : % 4.28/1.20 ( 'bij_betw$b'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'compatible$s' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'compatible$s'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'fun_app$bc' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_bool_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.20 ( 'fun_app$bc'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_bool_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'iso_register$u' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'iso_register$u'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $false % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'regular_register$i' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'regular_register$i'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'compatible$h' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'compatible$h'(X0_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'iso_register$c' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'iso_register$c'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $false % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'compatible$r' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'compatible$r'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'compatible$p' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'compatible$p'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'equivalent_registers$l' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'equivalent_registers$l'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $false % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'equivalent_registers$h' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'equivalent_registers$h'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $false % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'iso_register$t' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'iso_register$t'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $false % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'equivalent_registers$x' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'equivalent_registers$x'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $false % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'complements$u' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'complements$u'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'regular_register$' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.20 ( 'regular_register$'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.20 $true % 4.28/1.20 ) % 4.28/1.20 ) % 4.28/1.20 ). % 4.28/1.20 % 4.28/1.20 %------ Positive definition of 'equivalent_registers$t' % 4.28/1.20 fof(lit_def,axiom, % 4.28/1.20 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( 'equivalent_registers$t'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 $false % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of 'iso_register$p' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( 'iso_register$p'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 $true % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of 'complements$n' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.21 ( 'complements$n'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.21 $true % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of 'compatible$q' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( 'compatible$q'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 $true % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of 'bij_betw$u' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X1_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set'] : % 4.28/1.21 ( 'bij_betw$u'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X1_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X1_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set'=X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set' ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of 'complements$a' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( 'complements$a'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 $true % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of 'register$as' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( 'register$as'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 $true % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of 'equivalent_registers$al' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( 'equivalent_registers$al'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 $true % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of 'bij_betw$k' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X1_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set'] : % 4.28/1.21 ( 'bij_betw$k'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X1_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X1_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set'=X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set' ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of 'complements$c' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( 'complements$c'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 $true % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of 'register$i' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( 'register$i'(X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 $true % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of 'iso_register$aa' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( 'iso_register$aa'(X0_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 $true % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of 'regular_register$c' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.21 ( 'regular_register$c'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.21 $false % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of 'complements$s' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( 'complements$s'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 $false % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of 'register$l' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( 'register$l'(X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 $true % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of 'register$h' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( 'register$h'(X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 $true % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of 'register$q' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.21 ( 'register$q'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.21 $true % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of 'member$a' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set'] : % 4.28/1.21 ( 'member$a'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set') <=> % 4.28/1.21 $true % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of 'equivalent_registers$z' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( 'equivalent_registers$z'(X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 $false % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of 'iso_register$o' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( 'iso_register$o'(X0_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 $true % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of 'equivalent_registers$aa' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( 'equivalent_registers$aa'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 $false % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of 'iso_register$d' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( 'iso_register$d'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 $true % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of 'compatible$t' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( 'compatible$t'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 $true % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of 'register$n' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( 'register$n'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 $true % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of 'complements$p' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( 'complements$p'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 $true % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of 'bij_betw$j' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set'] : % 4.28/1.21 ( 'bij_betw$j'(X0_'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set') <=> % 4.28/1.21 $true % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of 'equivalent_registers$ae' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X1_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.21 ( 'equivalent_registers$ae'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X1_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.21 $false % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of 'register$ab' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( 'register$ab'(X0_'C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 $true % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of 'register$p' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.28/1.21 ( 'register$p'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.28/1.21 $false % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of 'regular_register$e' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.21 ( 'regular_register$e'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.21 $true % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of 'complements$q' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( 'complements$q'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 $true % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of 'member$' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_set'] : % 4.28/1.21 ( 'member$'(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_set') <=> % 4.28/1.21 $true % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of 'complements$k' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( 'complements$k'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 $true % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of 'fun_app$bd' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'] : % 4.28/1.21 ( 'fun_app$bd'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun') <=> % 4.28/1.21 $true % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$dd' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$dd'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'register_pair$an' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'register_pair$an'(X0_'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$h' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$h'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'t3$' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'] : % 4.28/1.21 ( iProver_Flat_'t3$'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'inv_into$aq' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_ell2_a_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'inv_into$aq'(X0_'A_ell2_a_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_ell2_a_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$v' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$v'(X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$ae' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$ae'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'fun_app$ab' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun'] : % 4.28/1.21 ( iProver_Flat_'fun_app$ab'(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'register_tensor$am' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_c_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'register_tensor$am'(X0_'C_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_c_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'C_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_c_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_c_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'register_tensor$az' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'register_tensor$az'(X0_'C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'register_tensor$ad' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_b_complement_domain_a_b_complement_domain_prod_ell2_c_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'register_tensor$ad'(X0_'C_b_complement_domain_a_b_complement_domain_prod_ell2_c_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'C_b_complement_domain_a_b_complement_domain_prod_ell2_c_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_b_complement_domain_a_b_complement_domain_prod_ell2_c_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$dp' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$dp'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'register_tensor$t' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'register_tensor$t'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'register_tensor$c' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'register_tensor$c'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$dn' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$dn'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'register_tensor$bf' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'register_tensor$bf'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$cp' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$cp'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'fun_app$av' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun'] : % 4.28/1.21 ( iProver_Flat_'fun_app$av'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$q' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$q'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$w' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$w'(X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'inv_into$m' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'inv_into$m'(X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'collect$b' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_bool_fun'] : % 4.28/1.21 ( iProver_Flat_'collect$b'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_bool_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'fun_app$i' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'] : % 4.28/1.21 ( iProver_Flat_'fun_app$i'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'register_tensor$w' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'register_tensor$w'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'register_tensor$f' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'register_tensor$f'(X0_'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'tensor_op$x' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun'] : % 4.28/1.21 ( iProver_Flat_'tensor_op$x'(X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'register_tensor$aw' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'register_tensor$aw'(X0_'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'tensor_op$k' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun'] : % 4.28/1.21 ( iProver_Flat_'tensor_op$k'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'register_tensor$x' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'register_tensor$x'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'butterfly$a' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2',X1_'A_ell2'] : % 4.28/1.21 ( iProver_Flat_'butterfly$a'(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2',X1_'A_ell2') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'register_tensor$z' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'register_tensor$z'(X0_'C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$z' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$z'(X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'fun_app$e' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'] : % 4.28/1.21 ( iProver_Flat_'fun_app$e'(X0_'B_ell2_b_ell2_cblinfun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'inv_into$o' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'inv_into$o'(X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'complement$f' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'complement$f'(X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$bu' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X1_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$bu'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X1_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$bj' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$bj'(X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'register_pair$g' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'register_pair$g'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'complement$l' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'complement$l'(X0_'B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'register_tensor$e' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'register_tensor$e'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'top$m' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set'] : % 4.28/1.21 ( iProver_Flat_'top$m'(X0_'C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set'=iProver_Domain_'C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'register_tensor$ah' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'register_tensor$ah'(X0_'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'fun_app$ae' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun'] : % 4.28/1.21 ( iProver_Flat_'fun_app$ae'(X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun'=iProver_Domain_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'complement$o' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'complement$o'(X0_'A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'register_pair$am' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'register_pair$am'(X0_'A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'register_tensor$m' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'register_tensor$m'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$ax' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$ax'(X0_'A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$dq' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$dq'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$cb' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$cb'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'fun_app$y' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'] : % 4.28/1.21 ( iProver_Flat_'fun_app$y'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$dh' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$dh'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'register_tensor$av' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'register_tensor$av'(X0_'A_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$c' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$c'(X0_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'fun_app$aw' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.21 ( iProver_Flat_'fun_app$aw'(X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun'=iProver_Domain_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'id$a' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'id$a'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'register_tensor$ac' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_b_complement_domain_c_b_complement_domain_prod_ell2_a_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'register_tensor$ac'(X0_'A_b_complement_domain_c_b_complement_domain_prod_ell2_a_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_b_complement_domain_c_b_complement_domain_prod_ell2_a_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_c_b_complement_domain_prod_ell2_a_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$b' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$b'(X0_'B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'collect$c' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun'] : % 4.28/1.21 ( iProver_Flat_'collect$c'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'default$' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'B'] : % 4.28/1.21 ( iProver_Flat_'default$'(X0_'B') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$cg' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$cg'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'register_pair$u' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'register_pair$u'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'assoc$b' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'assoc$b'(X0_'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'register_pair$b' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'register_pair$b'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$cr' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$cr'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$at' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_a_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$at'(X0_'A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_a_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'tensor_op$d' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_a_a_complement_domain_prod_ell2_a_a_a_complement_domain_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun',X0_'A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun'] : % 4.28/1.21 ( iProver_Flat_'tensor_op$d'(X0_'A_a_a_complement_domain_prod_ell2_a_a_a_complement_domain_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun',X0_'A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_a_a_complement_domain_prod_ell2_a_a_a_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_a_complement_domain_prod_ell2_a_a_a_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'tensor_op$t' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun'] : % 4.28/1.21 ( iProver_Flat_'tensor_op$t'(X0_'A_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun'=iProver_Domain_'A_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'fun_app$am' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X1_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'] : % 4.28/1.21 ( iProver_Flat_'fun_app$am'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X1_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$j' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$j'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$bw' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X1_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$bw'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X1_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'register_pair$t' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'register_pair$t'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$ce' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$ce'(X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'register_pair$ba' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'register_pair$ba'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'ket$' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'B_ell2',X0_'B'] : % 4.28/1.21 ( iProver_Flat_'ket$'(X0_'B_ell2',X0_'B') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'B_ell2'=iProver_Domain_'B_ell2'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'register_pair$be' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'register_pair$be'(X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'inv_into$g' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'inv_into$g'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$df' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$df'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'complement$q' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'complement$q'(X0_'C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'register_tensor$bj' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'register_tensor$bj'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$ct' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$ct'(X0_'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$e' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$e'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'tensor_op$p' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun',X1_'A_ell2_a_ell2_cblinfun'] : % 4.28/1.21 ( iProver_Flat_'tensor_op$p'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun',X1_'A_ell2_a_ell2_cblinfun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'fun_app$c' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 4.28/1.21 ( iProver_Flat_'fun_app$c'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$aw' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$aw'(X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'complement$i' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_b_complement_domain_b_complement_domain_ell2_a_b_complement_domain_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'complement$i'(X0_'A_b_complement_domain_b_complement_domain_ell2_a_b_complement_domain_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_b_complement_domain_b_complement_domain_ell2_a_b_complement_domain_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_b_complement_domain_ell2_a_b_complement_domain_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'register_pair$d' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'register_pair$d'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'fun_app$z' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun'] : % 4.28/1.21 ( iProver_Flat_'fun_app$z'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$da' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$da'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'register_pair$av' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_a_a_complement_domain_prod_ell2_a_a_a_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.21 ( iProver_Flat_'register_pair$av'(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_a_a_complement_domain_prod_ell2_a_a_a_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$ag' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$ag'(X0_'B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'register_pair$ak' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'register_pair$ak'(X0_'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$cx' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$cx'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$k' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$k'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'id$c' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'id$c'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'inv_into$ah' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'inv_into$ah'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'swap$j' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'swap$j'(X0_'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'register_tensor$g' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'register_tensor$g'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'tensor_op$q' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.21 ( iProver_Flat_'tensor_op$q'(X0_'C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'=iProver_Domain_'C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'assoc$d' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'assoc$d'(X0_'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'tensor_op$s' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun'] : % 4.28/1.21 ( iProver_Flat_'tensor_op$s'(X0_'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$cy' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$cy'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'inv_into$z' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set',X1_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'inv_into$z'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set',X1_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'register_pair$aq' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'register_pair$aq'(X0_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'register_tensor$ao' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'register_tensor$ao'(X0_'A_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'comp$ch' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'comp$ch'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'register_tensor$v' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.21 ( iProver_Flat_'register_tensor$v'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'fun_app$ah' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun'] : % 4.28/1.21 ( iProver_Flat_'fun_app$ah'(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun') <=> % 4.28/1.21 ( % 4.28/1.21 ( % 4.28/1.21 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 4.28/1.21 ) % 4.28/1.21 % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ) % 4.28/1.21 ). % 4.28/1.21 % 4.28/1.21 %------ Positive definition of iProver_Flat_'tensor_op$u' % 4.28/1.21 fof(lit_def,axiom, % 4.28/1.21 (! [X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun'] : % 4.28/1.22 ( iProver_Flat_'tensor_op$u'(X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'tensor_op$e' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_a_c_complement_domain_prod_ell2_a_a_c_complement_domain_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun',X0_'A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun'] : % 4.28/1.22 ( iProver_Flat_'tensor_op$e'(X0_'A_a_c_complement_domain_prod_ell2_a_a_c_complement_domain_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun',X0_'A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_a_c_complement_domain_prod_ell2_a_a_c_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_c_complement_domain_prod_ell2_a_a_c_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$bp' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$bp'(X0_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'f$' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'f$'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$cq' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$cq'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'top$f' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set'] : % 4.28/1.22 ( iProver_Flat_'top$f'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'register_pair$bb' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.22 ( iProver_Flat_'register_pair$bb'(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'swap$d' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'swap$d'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$do' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$do'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'top$n' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set'] : % 4.28/1.22 ( iProver_Flat_'top$n'(X0_'C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set'=iProver_Domain_'C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'register_tensor$u' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'register_tensor$u'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'assoc$i' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'assoc$i'(X0_'A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$co' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$co'(X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'fun_app$ar' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.22 ( iProver_Flat_'fun_app$ar'(X0_'B_ell2_b_ell2_cblinfun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'tensor_op$c' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun'] : % 4.28/1.22 ( iProver_Flat_'tensor_op$c'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'register_tensor$p' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'register_tensor$p'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'swap$f' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'swap$f'(X0_'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'ket$c' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_c_prod_ell2',X0_'A_c_prod'] : % 4.28/1.22 ( iProver_Flat_'ket$c'(X0_'A_c_prod_ell2',X0_'A_c_prod') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_c_prod_ell2'=iProver_Domain_'A_c_prod_ell2'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'register_pair$at' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_b_a_complement_domain_prod_ell2_b_b_a_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.22 ( iProver_Flat_'register_pair$at'(X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_b_a_complement_domain_prod_ell2_b_b_a_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'inv_into$c' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'inv_into$c'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$ca' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$ca'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'register_pair$aw' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_a_c_complement_domain_prod_ell2_a_a_c_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.22 ( iProver_Flat_'register_pair$aw'(X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_a_c_complement_domain_prod_ell2_a_a_c_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'swap$c' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'swap$c'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'inv_into$aj' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'inv_into$aj'(X0_'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$ar' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$ar'(X0_'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'assoc$g' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'assoc$g'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$l' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$l'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'register_pair$aj' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'register_pair$aj'(X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$ad' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$ad'(X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'fun_app$r' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.22 ( iProver_Flat_'fun_app$r'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun'=iProver_Domain_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'register_tensor$bk' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'register_tensor$bk'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$cd' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$cd'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$i' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$i'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'fun_app$k' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.22 ( iProver_Flat_'fun_app$k'(X0_'B_ell2_b_ell2_cblinfun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'fun_app$' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 4.28/1.22 ( iProver_Flat_'fun_app$'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$bh' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$bh'(X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'fun_app$x' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 4.28/1.22 ( iProver_Flat_'fun_app$x'(X0_'B_ell2_b_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'top$d' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set'] : % 4.28/1.22 ( iProver_Flat_'top$d'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'fun_app$ap' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.22 ( iProver_Flat_'fun_app$ap'(X0_'C_ell2_c_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'register_tensor$ar' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'register_tensor$ar'(X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$ap' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$ap'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'assoc$a' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'assoc$a'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'fun_app$o' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.22 ( iProver_Flat_'fun_app$o'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$bc' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$bc'(X0_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'g$' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'g$'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$bd' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$bd'(X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$cv' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$cv'(X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$aj' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$aj'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'fun_app$ak' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun',X0_'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun'] : % 4.28/1.22 ( iProver_Flat_'fun_app$ak'(X0_'A_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun',X0_'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun'=iProver_Domain_'A_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'register_tensor$s' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'register_tensor$s'(X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'register_tensor$aj' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'register_tensor$aj'(X0_'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'top$r' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun'] : % 4.28/1.22 ( iProver_Flat_'top$r'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'register_tensor$ba' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'register_tensor$ba'(X0_'C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'assoc$' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_a_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'assoc$'(X0_'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_a_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_a_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_a_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'inv_into$ag' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X1_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'inv_into$ag'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X1_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'top$q' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_bool_fun'] : % 4.28/1.22 ( iProver_Flat_'top$q'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_bool_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_bool_fun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_bool_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$di' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$di'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'fun_app$ao' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.22 ( iProver_Flat_'fun_app$ao'(X0_'A_ell2_a_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'register_tensor$l' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'register_tensor$l'(X0_'C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'id$g' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'id$g'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'inv_into$k' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'inv_into$k'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'id$d' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'id$d'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'register_tensor$o' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'register_tensor$o'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'complement$d' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'complement$d'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$aq' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$aq'(X0_'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'register_pair$z' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_c_prod_ell2_a_c_prod_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'register_pair$z'(X0_'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_c_prod_ell2_a_c_prod_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'aG$' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun'] : % 4.28/1.22 ( iProver_Flat_'aG$'(X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun'=iProver_Domain_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$bm' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$bm'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'register_tensor$as' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X1_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'register_tensor$as'(X0_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X1_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'id$b' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'id$b'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'register_pair$aa' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_c_prod_b_complement_domain_c_prod_ell2_a_c_prod_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'register_pair$aa'(X0_'A_c_prod_b_complement_domain_c_prod_ell2_a_c_prod_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_c_prod_b_complement_domain_c_prod_ell2_a_c_prod_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_b_complement_domain_c_prod_ell2_a_c_prod_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'collect$' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_bool_fun'] : % 4.28/1.22 ( iProver_Flat_'collect$'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_bool_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$bv' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X2_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$bv'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X2_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'register_tensor$' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'register_tensor$'(X0_'C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'register_pair$au' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_b_c_complement_domain_prod_ell2_b_b_c_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.22 ( iProver_Flat_'register_pair$au'(X0_'C_ell2_c_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_b_c_complement_domain_prod_ell2_b_b_c_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'register_tensor$bl' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'register_tensor$bl'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'top$a' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'B_ell2_b_ell2_cblinfun_set'] : % 4.28/1.22 ( iProver_Flat_'top$a'(X0_'B_ell2_b_ell2_cblinfun_set') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'B_ell2_b_ell2_cblinfun_set'=iProver_Domain_'B_ell2_b_ell2_cblinfun_set'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'complement$m' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'complement$m'(X0_'B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'inv_into$i' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'inv_into$i'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'top$e' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set'] : % 4.28/1.22 ( iProver_Flat_'top$e'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set'=iProver_Domain_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'fun_app$ad' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 4.28/1.22 ( iProver_Flat_'fun_app$ad'(X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'register_pair$w' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'register_pair$w'(X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$bq' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$bq'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'register_pair$ae' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'register_pair$ae'(X0_'A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'register_tensor$af' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_c_prod_a_prod_ell2_a_c_prod_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'register_tensor$af'(X0_'A_c_prod_a_prod_ell2_a_c_prod_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_c_prod_a_prod_ell2_a_c_prod_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_a_prod_ell2_a_c_prod_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'register_tensor$an' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_c_prod_a_c_prod_prod_ell2_a_c_prod_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'register_tensor$an'(X0_'A_c_prod_a_c_prod_prod_ell2_a_c_prod_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_c_prod_a_c_prod_prod_ell2_a_c_prod_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_a_c_prod_prod_ell2_a_c_prod_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$ah' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$ah'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$br' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$br'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'register_pair$p' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_b_complement_domain_ell2_a_b_complement_domain_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'register_pair$p'(X0_'A_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_b_complement_domain_ell2_a_b_complement_domain_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$n' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$n'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'inv_into$an' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'inv_into$an'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$d' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$d'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$t' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$t'(X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'fun_app$az' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun'] : % 4.28/1.22 ( iProver_Flat_'fun_app$az'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$bg' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$bg'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'register_tensor$r' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'register_tensor$r'(X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$cw' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$cw'(X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'register_tensor$bd' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'register_tensor$bd'(X0_'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'swap$k' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'swap$k'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$x' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$x'(X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'top$p' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set'] : % 4.28/1.22 ( iProver_Flat_'top$p'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'fun_app$ay' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'] : % 4.28/1.22 ( iProver_Flat_'fun_app$ay'(X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'register_tensor$b' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'register_tensor$b'(X0_'C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'inv_into$q' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'inv_into$q'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'register_pair$y' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'register_pair$y'(X0_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$bl' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$bl'(X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'fun_app$ac' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X1_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun'] : % 4.28/1.22 ( iProver_Flat_'fun_app$ac'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X1_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun'=iProver_Domain_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'assoc$h' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'assoc$h'(X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'register_tensor$bi' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'register_tensor$bi'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$aa' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X2_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$aa'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X2_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'tensor_op$' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'B_b_b_complement_domain_prod_ell2_b_b_b_complement_domain_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun',X0_'B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun'] : % 4.28/1.22 ( iProver_Flat_'tensor_op$'(X0_'B_b_b_complement_domain_prod_ell2_b_b_b_complement_domain_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun',X0_'B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'B_b_b_complement_domain_prod_ell2_b_b_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'B_b_b_complement_domain_prod_ell2_b_b_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$bi' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$bi'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'register_pair$bd' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'register_pair$bd'(X0_'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'complement$g' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'complement$g'(X0_'A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'top$c' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set'] : % 4.28/1.22 ( iProver_Flat_'top$c'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$de' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$de'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$ab' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$ab'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'register_pair$ag' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'register_pair$ag'(X0_'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'inv_into$ab' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'inv_into$ab'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'register_pair$x' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'register_pair$x'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'swap$g' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'swap$g'(X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'inv_into$f' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'inv_into$f'(X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'inv_into$y' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'inv_into$y'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'id$i' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'id$i'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'tensor_op$n' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun',X1_'B_ell2_b_ell2_cblinfun'] : % 4.28/1.22 ( iProver_Flat_'tensor_op$n'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun',X1_'B_ell2_b_ell2_cblinfun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'fun_app$f' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 4.28/1.22 ( iProver_Flat_'fun_app$f'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$dc' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$dc'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'complement$c' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'complement$c'(X0_'A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'fun_app$as' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'] : % 4.28/1.22 ( iProver_Flat_'fun_app$as'(X0_'A_ell2_a_ell2_cblinfun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'comp$af' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'comp$af'(X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'top$l' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_ell2_a_ell2_cblinfun_set'] : % 4.28/1.22 ( iProver_Flat_'top$l'(X0_'A_ell2_a_ell2_cblinfun_set') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'A_ell2_a_ell2_cblinfun_set'=iProver_Domain_'A_ell2_a_ell2_cblinfun_set'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'id$f' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.22 ( iProver_Flat_'id$f'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.22 ( % 4.28/1.22 ( % 4.28/1.22 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.22 ) % 4.28/1.22 % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ) % 4.28/1.22 ). % 4.28/1.22 % 4.28/1.22 %------ Positive definition of iProver_Flat_'register_tensor$ap' % 4.28/1.22 fof(lit_def,axiom, % 4.28/1.22 (! [X0_'A_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_tensor$ap'(X0_'A_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'comp$cj' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'comp$cj'(X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_tensor$h' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_tensor$h'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'top$g' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set'] : % 4.28/1.23 ( iProver_Flat_'top$g'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'comp$cm' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'comp$cm'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'fun_app$s' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'] : % 4.28/1.23 ( iProver_Flat_'fun_app$s'(X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'fun_app$l' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun'] : % 4.28/1.23 ( iProver_Flat_'fun_app$l'(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_tensor$q' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_tensor$q'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'default$b' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'C'] : % 4.28/1.23 ( iProver_Flat_'default$b'(X0_'C') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'C'=iProver_Domain_'C'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'swap$i' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'swap$i'(X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_tensor$ax' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_tensor$ax'(X0_'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun'=iProver_Domain_'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_pair$s' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_pair$s'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'fun_app$t' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.23 ( iProver_Flat_'fun_app$t'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'top$s' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_bool_fun'] : % 4.28/1.23 ( iProver_Flat_'top$s'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_bool_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_bool_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_bool_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'top$i' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set'] : % 4.28/1.23 ( iProver_Flat_'top$i'(X0_'C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set'=iProver_Domain_'C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_tensor$bp' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_tensor$bp'(X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'swap$' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'swap$'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_pair$az' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_pair$az'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'inv_into$ae' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'inv_into$ae'(X0_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'butterfly$b' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2',X1_'C_ell2'] : % 4.28/1.23 ( iProver_Flat_'butterfly$b'(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2',X1_'C_ell2') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'inv_into$ad' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'inv_into$ad'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_pair$v' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_pair$v'(X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'inv_into$t' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'inv_into$t'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'comp$y' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'comp$y'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'comp$ac' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'comp$ac'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'comp$bo' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'comp$bo'(X0_'C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_pair$f' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_pair$f'(X0_'A_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'assoc$e' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_a_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'assoc$e'(X0_'A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_a_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_a_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_a_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'id$h' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'id$h'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'comp$r' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'comp$r'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_tensor$bc' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_tensor$bc'(X0_'B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'inv_into$ar' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_ell2_a_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'inv_into$ar'(X0_'A_ell2_a_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_ell2_a_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_tensor$n' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_tensor$n'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_tensor$ai' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_tensor$ai'(X0_'A_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_pair$l' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_pair$l'(X0_'A_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'complement$n' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'complement$n'(X0_'B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'inv_into$ai' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X1_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'inv_into$ai'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X1_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'complement$e' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'complement$e'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'inv_into$h' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'inv_into$h'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'fun_app$aq' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.23 ( iProver_Flat_'fun_app$aq'(X0_'A_ell2_a_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'assoc$n' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'assoc$n'(X0_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'complement$a' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'complement$a'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'fun_app$ai' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun',X1_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun'] : % 4.28/1.23 ( iProver_Flat_'fun_app$ai'(X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun',X1_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun'=iProver_Domain_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'assoc$k' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_a_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'assoc$k'(X0_'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_a_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_a_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_a_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'aF$' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun'] : % 4.28/1.23 ( iProver_Flat_'aF$'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun'=iProver_Domain_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'comp$db' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'comp$db'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'comp$s' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'comp$s'(X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_pair$bc' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_pair$bc'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'fun_app$al' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X1_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'] : % 4.28/1.23 ( iProver_Flat_'fun_app$al'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X1_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'inv_into$ao' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'inv_into$ao'(X0_'A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_tensor$ag' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_tensor$ag'(X0_'A_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_pair$ax' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_c_a_complement_domain_prod_ell2_c_c_a_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.23 ( iProver_Flat_'register_pair$ax'(X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_c_a_complement_domain_prod_ell2_c_c_a_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'comp$dk' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'comp$dk'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'default$c' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_c_prod'] : % 4.28/1.23 ( iProver_Flat_'default$c'(X0_'A_c_prod') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_c_prod'=iProver_Domain_'A_c_prod'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_tensor$ak' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_tensor$ak'(X0_'A_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'t2$' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'] : % 4.28/1.23 ( iProver_Flat_'t2$'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'fun_app$h' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.23 ( iProver_Flat_'fun_app$h'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'id$e' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'id$e'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'comp$bx' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'comp$bx'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'comp$ci' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'comp$ci'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'comp$by' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'comp$by'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_pair$ai' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_pair$ai'(X0_'A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'inv_into$e' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'inv_into$e'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_tensor$bo' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_tensor$bo'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'comp$bn' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun',X0_'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'comp$bn'(X0_'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun',X0_'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun'=iProver_Domain_'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'top$b' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set'] : % 4.28/1.23 ( iProver_Flat_'top$b'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_pair$ao' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_pair$ao'(X0_'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'inv_into$x' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'inv_into$x'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_pair$i' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_pair$i'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'swap$e' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'swap$e'(X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'tensor_op$o' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun'] : % 4.28/1.23 ( iProver_Flat_'tensor_op$o'(X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun'=iProver_Domain_'C_a_prod_ell2_c_a_prod_ell2_cblinfun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'tensor_op$m' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X1_'C_ell2_c_ell2_cblinfun'] : % 4.28/1.23 ( iProver_Flat_'tensor_op$m'(X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X1_'C_ell2_c_ell2_cblinfun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun'=iProver_Domain_'C_c_prod_ell2_c_c_prod_ell2_cblinfun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'inv_into$am' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'inv_into$am'(X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_tensor$au' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_tensor$au'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'complement$r' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'complement$r'(X0_'C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'top$j' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set'] : % 4.28/1.23 ( iProver_Flat_'top$j'(X0_'A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set'=iProver_Domain_'A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'fun_app$an' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'] : % 4.28/1.23 ( iProver_Flat_'fun_app$an'(X0_'B_ell2_b_ell2_cblinfun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'comp$dg' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'comp$dg'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_pair$bf' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_pair$bf'(X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'fun_app$ag' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun'] : % 4.28/1.23 ( iProver_Flat_'fun_app$ag'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun'=iProver_Domain_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'ket$a' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_ell2',X0_'A'] : % 4.28/1.23 ( iProver_Flat_'ket$a'(X0_'A_ell2',X0_'A') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_ell2'=iProver_Domain_'A_ell2'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'comp$u' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'comp$u'(X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_pair$ap' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_pair$ap'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_pair$o' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_pair$o'(X0_'A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'fun_app$j' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'] : % 4.28/1.23 ( iProver_Flat_'fun_app$j'(X0_'B_ell2_b_ell2_cblinfun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'top$h' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set'] : % 4.28/1.23 ( iProver_Flat_'top$h'(X0_'C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set'=iProver_Domain_'C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_tensor$bh' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_tensor$bh'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'comp$as' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'comp$as'(X0_'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'tensor_op$b' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'B_b_c_complement_domain_prod_ell2_b_b_c_complement_domain_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun',X0_'B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun'] : % 4.28/1.23 ( iProver_Flat_'tensor_op$b'(X0_'B_b_c_complement_domain_prod_ell2_b_b_c_complement_domain_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun',X0_'B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'B_b_c_complement_domain_prod_ell2_b_b_c_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'B_b_c_complement_domain_prod_ell2_b_b_c_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'inv_into$s' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X1_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'inv_into$s'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X1_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_tensor$aq' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_tensor$aq'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_tensor$bb' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_tensor$bb'(X0_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'butterfly$' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2',X1_'B_ell2'] : % 4.28/1.23 ( iProver_Flat_'butterfly$'(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2',X1_'B_ell2') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'inv_into$b' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X1_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'inv_into$b'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X1_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'comp$ak' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'comp$ak'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'complement$p' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'complement$p'(X0_'A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'fun_app$at' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun'] : % 4.28/1.23 ( iProver_Flat_'fun_app$at'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'complement$h' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'complement$h'(X0_'B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_tensor$bn' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_tensor$bn'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_tensor$d' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_tensor$d'(X0_'A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_pair$c' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_pair$c'(X0_'A_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_tensor$a' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_tensor$a'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'complement$k' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'C_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'complement$k'(X0_'C_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'C_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'inv_into$af' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'inv_into$af'(X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_pair$ad' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_b_complement_domain_c_prod_ell2_a_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_pair$ad'(X0_'A_b_complement_domain_c_prod_ell2_a_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_b_complement_domain_c_prod_ell2_a_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_c_prod_ell2_a_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'tensor_op$a' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'B_b_a_complement_domain_prod_ell2_b_b_a_complement_domain_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun',X0_'B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun'] : % 4.28/1.23 ( iProver_Flat_'tensor_op$a'(X0_'B_b_a_complement_domain_prod_ell2_b_b_a_complement_domain_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun',X0_'B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'B_b_a_complement_domain_prod_ell2_b_b_a_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'B_b_a_complement_domain_prod_ell2_b_b_a_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'assoc$o' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'assoc$o'(X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'comp$au' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'comp$au'(X0_'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'swap$b' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'swap$b'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'comp$cf' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'comp$cf'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_tensor$j' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_tensor$j'(X0_'C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_tensor$k' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_tensor$k'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'fun_app$b' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 4.28/1.23 ( iProver_Flat_'fun_app$b'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'collect$a' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun'] : % 4.28/1.23 ( iProver_Flat_'collect$a'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'swap$a' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'swap$a'(X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'inv_into$l' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'inv_into$l'(X0_'B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'assoc$j' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'assoc$j'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'comp$ai' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'comp$ai'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_pair$ac' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_c_prod_ell2_a_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_pair$ac'(X0_'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_c_prod_ell2_a_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'inv_into$ac' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'inv_into$ac'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_pair$ab' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_pair$ab'(X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'inv_into$n' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'inv_into$n'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'comp$bz' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'comp$bz'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'fun_app$v' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 4.28/1.23 ( iProver_Flat_'fun_app$v'(X0_'B_ell2_b_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_pair$ay' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_c_c_complement_domain_prod_ell2_c_c_c_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.23 ( iProver_Flat_'register_pair$ay'(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_c_c_complement_domain_prod_ell2_c_c_c_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_pair$e' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'register_pair$e'(X0_'A_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'comp$m' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'comp$m'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'inv_into$ak' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'inv_into$ak'(X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'register_pair$as' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_b_b_complement_domain_prod_ell2_b_b_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.23 ( iProver_Flat_'register_pair$as'(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_b_b_complement_domain_prod_ell2_b_b_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'comp$cs' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'comp$cs'(X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.23 ) % 4.28/1.23 % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ) % 4.28/1.23 ). % 4.28/1.23 % 4.28/1.23 %------ Positive definition of iProver_Flat_'assoc$m' % 4.28/1.23 fof(lit_def,axiom, % 4.28/1.23 (! [X0_'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_a_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.23 ( iProver_Flat_'assoc$m'(X0_'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_a_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.23 ( % 4.28/1.23 ( % 4.28/1.23 ( X0_'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_a_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_a_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'inv_into$w' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'inv_into$w'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'collect$d' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_bool_fun'] : % 4.28/1.24 ( iProver_Flat_'collect$d'(X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_bool_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'B_ell2_b_ell2_cblinfun_set'=iProver_Domain_'B_ell2_b_ell2_cblinfun_set'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'register_pair$' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'register_pair$'(X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'top$t' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun'] : % 4.28/1.24 ( iProver_Flat_'top$t'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'default$a' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A'] : % 4.28/1.24 ( iProver_Flat_'default$a'(X0_'A') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'comp$cl' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'comp$cl'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'comp$dj' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'comp$dj'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'comp$f' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'comp$f'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'top$u' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'B_ell2_b_ell2_cblinfun_bool_fun'] : % 4.28/1.24 ( iProver_Flat_'top$u'(X0_'B_ell2_b_ell2_cblinfun_bool_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'B_ell2_b_ell2_cblinfun_bool_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_bool_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'swap$h' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'swap$h'(X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'fun_app$d' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.24 ( iProver_Flat_'fun_app$d'(X0_'B_ell2_b_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'inv_into$' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'inv_into$'(X0_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'comp$dm' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'comp$dm'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'ket$b' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_ell2',X0_'C'] : % 4.28/1.24 ( iProver_Flat_'ket$b'(X0_'C_ell2',X0_'C') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_ell2'=iProver_Domain_'C_ell2'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'fun_app$g' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.24 ( iProver_Flat_'fun_app$g'(X0_'B_ell2_b_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'top$' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set'] : % 4.28/1.24 ( iProver_Flat_'top$'(X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set'=iProver_Domain_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'register_tensor$at' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'register_tensor$at'(X0_'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'comp$az' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_a_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'comp$az'(X0_'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_a_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'fun_app$m' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X1_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.24 ( iProver_Flat_'fun_app$m'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X1_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'register_pair$j' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'register_pair$j'(X0_'C_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'inv_into$j' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'inv_into$j'(X0_'B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'register_pair$a' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'register_pair$a'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'comp$be' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'comp$be'(X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'register_pair$q' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'register_pair$q'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'fun_app$w' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun'] : % 4.28/1.24 ( iProver_Flat_'fun_app$w'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'tensor_op$f' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun'] : % 4.28/1.24 ( iProver_Flat_'tensor_op$f'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'register_pair$n' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'register_pair$n'(X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'inv_into$a' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'inv_into$a'(X0_'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'t1$' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.24 ( iProver_Flat_'t1$'(X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'butterfly$c' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X0_'A_c_prod_ell2',X1_'A_c_prod_ell2'] : % 4.28/1.24 ( iProver_Flat_'butterfly$c'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X0_'A_c_prod_ell2',X1_'A_c_prod_ell2') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'tensor_op$i' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun'] : % 4.28/1.24 ( iProver_Flat_'tensor_op$i'(X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'register_pair$ah' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'register_pair$ah'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'fun_app$p' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.24 ( iProver_Flat_'fun_app$p'(X0_'B_ell2_b_ell2_cblinfun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'inv_into$v' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'inv_into$v'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'comp$al' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'comp$al'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'top$k' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set'] : % 4.28/1.24 ( iProver_Flat_'top$k'(X0_'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set'=iProver_Domain_'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'register_tensor$ay' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'register_tensor$ay'(X0_'A_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'fun_app$ax' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.24 ( iProver_Flat_'fun_app$ax'(X0_'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun'=iProver_Domain_'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'fun_app$af' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 4.28/1.24 ( iProver_Flat_'fun_app$af'(X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'register_pair$r' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'register_pair$r'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'comp$cc' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'comp$cc'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'register_tensor$ab' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'register_tensor$ab'(X0_'A_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'complement$j' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'complement$j'(X0_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'comp$cz' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'comp$cz'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'comp$bf' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'comp$bf'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'fun_app$au' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun'] : % 4.28/1.24 ( iProver_Flat_'fun_app$au'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'register_pair$al' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'register_pair$al'(X0_'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'comp$ay' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'comp$ay'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'register_tensor$y' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'register_tensor$y'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'fun_app$a' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 4.28/1.24 ( iProver_Flat_'fun_app$a'(X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'assoc$f' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'assoc$f'(X0_'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'tensor_op$r' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun'] : % 4.28/1.24 ( iProver_Flat_'tensor_op$r'(X0_'B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'register_pair$ar' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'register_pair$ar'(X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'fun_app$u' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun'] : % 4.28/1.24 ( iProver_Flat_'fun_app$u'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'comp$p' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'comp$p'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'id$' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'id$'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'complement$b' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'complement$b'(X0_'A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'tensor_op$l' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun'] : % 4.28/1.24 ( iProver_Flat_'tensor_op$l'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'comp$bs' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'comp$bs'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'tensor_op$h' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_c_c_complement_domain_prod_ell2_c_c_c_complement_domain_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X0_'C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun'] : % 4.28/1.24 ( iProver_Flat_'tensor_op$h'(X0_'C_c_c_complement_domain_prod_ell2_c_c_c_complement_domain_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X0_'C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_c_c_complement_domain_prod_ell2_c_c_c_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_c_complement_domain_prod_ell2_c_c_c_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'fun_app$n' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.24 ( iProver_Flat_'fun_app$n'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'comp$o' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'comp$o'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'comp$bb' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_a_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'comp$bb'(X0_'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_a_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'comp$a' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'comp$a'(X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'comp$bt' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'comp$bt'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'register_tensor$be' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'register_tensor$be'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'register_tensor$i' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'register_tensor$i'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'comp$dl' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'comp$dl'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'comp$am' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X1_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'comp$am'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X1_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'complement$' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'complement$'(X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'inv_into$al' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'inv_into$al'(X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'assoc$l' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'assoc$l'(X0_'A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'inv_into$aa' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'inv_into$aa'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'register_tensor$al' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_a_c_prod_prod_ell2_c_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'register_tensor$al'(X0_'C_a_c_prod_prod_ell2_c_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_a_c_prod_prod_ell2_c_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_prod_ell2_c_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'inv_into$u' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'inv_into$u'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'register_tensor$bm' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'register_tensor$bm'(X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'register_pair$af' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'register_pair$af'(X0_'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'top$o' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set'] : % 4.28/1.24 ( iProver_Flat_'top$o'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'register_tensor$bq' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'register_tensor$bq'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'assoc$c' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'assoc$c'(X0_'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'comp$ba' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'comp$ba'(X0_'A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'fun_app$q' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun'] : % 4.28/1.24 ( iProver_Flat_'fun_app$q'(X0_'B_ell2_b_ell2_cblinfun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'comp$cn' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'comp$cn'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'register_pair$m' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'register_pair$m'(X0_'A_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'inv_into$p' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'inv_into$p'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'register_tensor$bg' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'register_tensor$bg'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'comp$ck' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'comp$ck'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'comp$ao' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_a_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'comp$ao'(X0_'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_a_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'tensor_op$g' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_c_a_complement_domain_prod_ell2_c_c_a_complement_domain_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X0_'C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun'] : % 4.28/1.24 ( iProver_Flat_'tensor_op$g'(X0_'C_c_a_complement_domain_prod_ell2_c_c_a_complement_domain_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X0_'C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_c_a_complement_domain_prod_ell2_c_c_a_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_a_complement_domain_prod_ell2_c_c_a_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'inv_into$r' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'inv_into$r'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'comp$g' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'comp$g'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'register_pair$k' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'register_pair$k'(X0_'A_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'i$' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'i$'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'comp$cu' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'comp$cu'(X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'comp$av' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'comp$av'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'inv_into$ap' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'inv_into$ap'(X0_'A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'register_pair$h' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'register_pair$h'(X0_'C_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'comp$an' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X1_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'comp$an'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X1_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'comp$bk' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'comp$bk'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'register_tensor$ae' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_b_complement_domain_c_b_complement_domain_prod_ell2_c_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'register_tensor$ae'(X0_'C_b_complement_domain_c_b_complement_domain_prod_ell2_c_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_b_complement_domain_c_b_complement_domain_prod_ell2_c_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_b_complement_domain_c_b_complement_domain_prod_ell2_c_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'fun_app$aj' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'] : % 4.28/1.24 ( iProver_Flat_'fun_app$aj'(X0_'B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'register_tensor$aa' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'register_tensor$aa'(X0_'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'inv_into$d' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_'inv_into$d'(X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_'fun_app$aa' % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.24 ( iProver_Flat_'fun_app$aa'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_sK0 % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_sK0(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_sK1 % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_sK1(X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_sK2 % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_sK2(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_sK3 % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_sK3(X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_sK4 % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_sK4(X0_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_sK5 % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_sK5(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_sK6 % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_sK6(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_sK7 % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_sK7(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_sK8 % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_sK8(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_sK9 % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_sK9(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_sK10 % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_sK10(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_sK11 % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_sK11(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_sK12 % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_sK12(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_sK13 % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_sK13(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_sK14 % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_sK14(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_sK15 % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_sK15(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_sK16 % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_sK16(X0_'B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun'=iProver_Domain_'B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_sK17 % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_sK17(X0_'B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun'=iProver_Domain_'B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_sK18 % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_sK18(X0_'B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun'=iProver_Domain_'B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_sK19 % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_sK19(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun'=iProver_Domain_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_sK20 % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_sK20(X0_'A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun'=iProver_Domain_'A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_sK21 % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_sK21(X0_'A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun'=iProver_Domain_'A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_sK22 % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_sK22(X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun'=iProver_Domain_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_sK23 % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_sK23(X0_'C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun'=iProver_Domain_'C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_sK24 % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_sK24(X0_'C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun'=iProver_Domain_'C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_sK25 % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.24 ( iProver_Flat_sK25(X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun'=iProver_Domain_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_sK26 % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun'] : % 4.28/1.24 ( iProver_Flat_sK26(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun') <=> % 4.28/1.24 ( % 4.28/1.24 ( % 4.28/1.24 ( X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun'=iProver_Domain_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun'_1 ) % 4.28/1.24 ) % 4.28/1.24 % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ) % 4.28/1.24 ). % 4.28/1.24 % 4.28/1.24 %------ Positive definition of iProver_Flat_sK27 % 4.28/1.24 fof(lit_def,axiom, % 4.28/1.24 (! [X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun'] : % 4.28/1.24 ( iProver_Flat_sK27(X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun'=iProver_Domain_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK28 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set'] : % 4.28/1.25 ( iProver_Flat_sK28(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK29 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set'] : % 4.28/1.25 ( iProver_Flat_sK29(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK30 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set'] : % 4.28/1.25 ( iProver_Flat_sK30(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK31 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set'] : % 4.28/1.25 ( iProver_Flat_sK31(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK32 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_set'] : % 4.28/1.25 ( iProver_Flat_sK32(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_set') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK33 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK33(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK34 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK34(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK35 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK35(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK36 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK36(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK37 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK37(X0_'B_ell2_b_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK38 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set'] : % 4.28/1.25 ( iProver_Flat_sK38(X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK39 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set'] : % 4.28/1.25 ( iProver_Flat_sK39(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK40 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set'] : % 4.28/1.25 ( iProver_Flat_sK40(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK41 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set'] : % 4.28/1.25 ( iProver_Flat_sK41(X0_'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK42 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set'] : % 4.28/1.25 ( iProver_Flat_sK42(X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK43 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set'] : % 4.28/1.25 ( iProver_Flat_sK43(X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK44 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK44(X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK45 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK45(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK46 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK46(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK47 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK47(X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK48 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK48(X0_'B_ell2_b_ell2_cblinfun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK49 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set'] : % 4.28/1.25 ( iProver_Flat_sK49(X0_'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK50 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK50(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK51 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK51(X0_'B_ell2_b_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK52 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set'] : % 4.28/1.25 ( iProver_Flat_sK52(X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK53 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK53(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK54 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK54(X0_'B_ell2_b_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK55 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set'] : % 4.28/1.25 ( iProver_Flat_sK55(X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK56 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK56(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK57 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK57(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK58 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK58(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK59 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK59(X0_'B_ell2_b_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK60 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK60(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK61 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK61(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK62 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK62(X0_'B_ell2_b_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK63 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK63(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK64 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK64(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK65 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK65(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK66 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK66(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK67 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK67(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK68 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK68(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK69 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK69(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK70 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK70(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK71 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK71(X0_'B_ell2_b_ell2_cblinfun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK72 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK72(X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK73 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK73(X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK74 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK74(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK75 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X1_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK75(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X1_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK76 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X1_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK76(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X1_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK77 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK77(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK78 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X1_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK78(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X1_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK79 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK79(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK80 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK80(X0_'B_ell2_b_ell2_cblinfun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK81 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK81(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK82 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK82(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK83 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK83(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK84 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK84(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK85 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK85(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK86 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK86(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK87 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK87(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK88 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK88(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK89 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK89(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK90 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK90(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK91 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK91(X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK92 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X1_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK92(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X1_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK93 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK93(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK94 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK94(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK95 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'] : % 4.28/1.25 ( iProver_Flat_sK95(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK96 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK96(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK97 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK97(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK98 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK98(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK99 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK99(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK100 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK100(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK101 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK101(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK102 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK102(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK103 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK103(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK104 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK104(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK105 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK105(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK106 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK106(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK107 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK107(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK108 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK108(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK109 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK109(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK110 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK110(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK111 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK111(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK112 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK112(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK113 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK113(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK114 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK114(X0_'B_ell2_b_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK115 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK115(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK116 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK116(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK117 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK117(X0_'B_ell2_b_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK118 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK118(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK119 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK119(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK120 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK120(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK121 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK121(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK122 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK122(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK123 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK123(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK124 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK124(X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK125 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK125(X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK126 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK126(X0_'B_ell2_b_ell2_cblinfun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK127 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK127(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK128 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK128(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK129 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK129(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK130 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK130(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK131 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK131(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK132 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK132(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK133 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK133(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK134 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK134(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK135 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK135(X0_'B_ell2_b_ell2_cblinfun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK136 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK136(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK137 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK137(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK138 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK138(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK139 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK139(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % 4.28/1.25 %------ Positive definition of iProver_Flat_sK140 % 4.28/1.25 fof(lit_def,axiom, % 4.28/1.25 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.28/1.25 ( iProver_Flat_sK140(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.28/1.25 ( % 4.28/1.25 ( % 4.28/1.25 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 4.28/1.25 ) % 4.28/1.25 % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ) % 4.28/1.25 ). % 4.28/1.25 % SZS output end Model for theBenchmark.p % 4.28/1.25 %------------------------------------------------------------------------------