0.00/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/run_iprover 120 /export/starexec/sandbox2/benchmark/theBenchmark.p SAT 0.10/0.31 % Computer : n009.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % WCLimit : 120 0.10/0.31 % DateTime : Wed Jul 30 06:17:04 EDT 2025 0.16/0.31 % CPUTime : 0.16/0.42 /export/starexec/sandbox2/solver/bin/SPCForProblem: Command not found. 0.16/0.42 Running model finding 0.16/0.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core-casc.sh -l tptp -s fnt_schedule -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.16/0.42 0.16/0.42 % ======== iProver multi-core TPTP/SMT ========= 0.16/0.42 0.16/0.42 % Detected problem language: tptp 0.16/0.43 % Checking... 0.47/1.13 % Proving... 4.43/1.92 % SZS status Started for theBenchmark.p 4.43/1.92 % SZS status Satisfiable for theBenchmark.p 4.43/1.92 4.43/1.92 %---------------- iProver v3.9.3 (pre CASC 2025/SMT-COMP 2025) ----------------% 4.43/1.92 4.43/1.92 ------ iProver source info 4.43/1.92 4.43/1.92 git: date: 2025-07-21 10:15:00 +0000 4.43/1.92 git: sha1: d7ebeb21b290b8724a1e08b4c4a533d26e8c009f 4.43/1.92 git: non_committed_changes: true 4.43/1.92 4.43/1.92 ------ Parsing... 4.43/1.92 ------ Clausification by vclausify_rel & Parsing by iProver... 4.43/1.92 ------ Proving... 4.43/1.92 ------ Problem Properties 4.43/1.92 4.43/1.92 4.43/1.92 clauses 817 4.43/1.92 conjectures 0 4.43/1.92 EPR 101 4.43/1.92 Horn 782 4.43/1.92 unary 90 4.43/1.92 binary 328 4.43/1.92 lits 2093 4.43/1.92 lits eq 550 4.43/1.92 fd_pure 0 4.43/1.92 fd_pseudo 0 4.43/1.92 fd_cond 6 4.43/1.92 fd_pseudo_cond 19 4.43/1.92 AC symbols 0 4.43/1.92 4.43/1.92 ------ Input Options Time Limit: Unbounded 4.43/1.92 4.43/1.92 4.43/1.92 ------ Finite Models: 4.43/1.92 4.43/1.92 ------ lit_activity_flag true 4.43/1.92 4.43/1.92 4.43/1.92 ------ Trying domains of size >= : 1 4.43/1.92 ------ 4.43/1.92 Current options: 4.43/1.92 ------ 4.43/1.92 4.43/1.92 ------ Input Options 4.43/1.92 4.43/1.92 --out_options all 4.43/1.92 --tptp_safe_out true 4.43/1.92 --problem_path "" 4.43/1.92 --include_path "" 4.43/1.92 --clausifier res/vclausify_rel 4.43/1.92 --clausifier_options --mode tclausify -t 41.66 --show_fool true -updr off 4.43/1.92 --stdin false 4.43/1.92 --proof_out true 4.43/1.92 --proof_dot_file "" 4.43/1.92 --proof_reduce_dot [] 4.43/1.92 --suppress_sat_res false 4.43/1.92 --suppress_unsat_res true 4.43/1.92 --stats_out none 4.43/1.92 --stats_mem false 4.43/1.92 --theory_stats_out false 4.43/1.92 4.43/1.92 ------ General Options 4.43/1.92 4.43/1.92 --fof false 4.43/1.92 --time_out_real 124.99 4.43/1.92 --time_out_virtual -1. 4.43/1.92 --rnd_seed 13 4.43/1.92 --symbol_type_check false 4.43/1.92 --clausify_out false 4.43/1.92 --sig_cnt_out false 4.43/1.92 --trig_cnt_out false 4.43/1.92 --trig_cnt_out_tolerance 1. 4.43/1.92 --trig_cnt_out_sk_spl false 4.43/1.92 --abstr_cl_out false 4.43/1.92 4.43/1.92 ------ Interactive Mode 4.43/1.92 4.43/1.92 --interactive_mode false 4.43/1.92 --external_ip_address "" 4.43/1.92 --external_port 0 4.43/1.92 4.43/1.92 ------ Global Options 4.43/1.92 4.43/1.92 --schedule none 4.43/1.92 --add_important_lit false 4.43/1.92 --prop_solver_per_cl 500 4.43/1.92 --subs_bck_mult 8 4.43/1.92 --min_unsat_core false 4.43/1.92 --soft_assumptions false 4.43/1.92 --soft_lemma_size 3 4.43/1.92 --prop_impl_unit_size 0 4.43/1.92 --prop_impl_unit [] 4.43/1.92 --share_sel_clauses true 4.43/1.92 --reset_solvers false 4.43/1.92 --bc_imp_inh [conj_cone] 4.43/1.92 --conj_cone_tolerance 3. 4.43/1.92 --extra_neg_conj none 4.43/1.92 --large_theory_mode true 4.43/1.92 --prolific_symb_bound 200 4.43/1.92 --lt_threshold 2000 4.43/1.92 --clause_weak_htbl true 4.43/1.92 --gc_record_bc_elim false 4.43/1.92 4.43/1.92 ------ Preprocessing Options 4.43/1.92 4.43/1.92 --preprocessing_flag false 4.43/1.92 --time_out_prep_mult 0.1 4.43/1.92 --splitting_mode input 4.43/1.92 --splitting_grd true 4.43/1.92 --splitting_cvd false 4.43/1.92 --splitting_cvd_svl false 4.43/1.92 --splitting_nvd 32 4.43/1.92 --sub_typing false 4.43/1.92 --prep_eq_flat_conj false 4.43/1.92 --prep_eq_flat_all_gr false 4.43/1.92 --prep_gs_sim true 4.43/1.92 --prep_unflatten true 4.43/1.92 --prep_res_sim true 4.43/1.92 --prep_sup_sim_all true 4.43/1.92 --prep_sup_sim_sup false 4.43/1.92 --prep_upred true 4.43/1.92 --prep_well_definedness true 4.43/1.92 --prep_sem_filter exhaustive 4.43/1.92 --prep_sem_filter_out false 4.43/1.92 --pred_elim true 4.43/1.92 --res_sim_input true 4.43/1.92 --eq_ax_congr_red true 4.43/1.92 --pure_diseq_elim true 4.43/1.92 --brand_transform false 4.43/1.92 --non_eq_to_eq false 4.43/1.92 --prep_def_merge true 4.43/1.92 --prep_def_merge_prop_impl false 4.43/1.92 --prep_def_merge_mbd true 4.43/1.92 --prep_def_merge_tr_red false 4.43/1.92 --prep_def_merge_tr_cl false 4.43/1.92 --smt_preprocessing false 4.43/1.92 --smt_ac_axioms fast 4.43/1.92 --preprocessed_out false 4.43/1.92 --preprocessed_stats false 4.43/1.92 4.43/1.92 ------ Abstraction refinement Options 4.43/1.92 4.43/1.92 --abstr_ref [] 4.43/1.92 --abstr_ref_prep false 4.43/1.92 --abstr_ref_until_sat false 4.43/1.92 --abstr_ref_sig_restrict funpre 4.43/1.92 --abstr_ref_af_restrict_to_split_sk false 4.43/1.92 --abstr_ref_under [] 4.43/1.92 4.43/1.92 ------ SAT Options 4.43/1.92 4.43/1.92 --sat_mode true 4.43/1.92 --sat_fm_restart_options "" 4.43/1.92 --sat_gr_def false 4.43/1.92 --sat_epr_types true 4.43/1.92 --sat_non_cyclic_types false 4.43/1.92 --sat_finite_models true 4.43/1.92 --sat_fm_lemmas false 4.43/1.92 --sat_fm_prep false 4.43/1.92 --sat_fm_uc_incr true 4.43/1.92 --sat_out_model pos 4.43/1.92 --sat_out_clauses false 4.43/1.92 4.43/1.92 ------ QBF Options 4.43/1.92 4.43/1.92 --qbf_mode false 4.43/1.92 --qbf_elim_univ false 4.43/1.92 --qbf_dom_inst none 4.43/1.92 --qbf_dom_pre_inst false 4.43/1.92 --qbf_sk_in false 4.43/1.92 --qbf_pred_elim true 4.43/1.92 --qbf_split 512 4.43/1.92 4.43/1.92 ------ BMC1 Options 4.43/1.92 4.43/1.92 --bmc1_incremental false 4.43/1.92 --bmc1_axioms reachable_all 4.43/1.92 --bmc1_min_bound 0 4.43/1.92 --bmc1_max_bound -1 4.43/1.92 --bmc1_max_bound_default -1 4.43/1.92 --bmc1_symbol_reachability true 4.43/1.92 --bmc1_property_lemmas false 4.43/1.92 --bmc1_k_induction false 4.43/1.92 --bmc1_non_equiv_states false 4.43/1.92 --bmc1_deadlock false 4.43/1.92 --bmc1_ucm false 4.43/1.92 --bmc1_add_unsat_core none 4.43/1.92 --bmc1_unsat_core_children false 4.43/1.92 --bmc1_unsat_core_extrapolate_axioms false 4.43/1.92 --bmc1_out_stat full 4.43/1.92 --bmc1_ground_init false 4.43/1.92 --bmc1_pre_inst_next_state false 4.43/1.92 --bmc1_pre_inst_state false 4.43/1.92 --bmc1_pre_inst_reach_state false 4.43/1.92 --bmc1_out_unsat_core false 4.43/1.92 --bmc1_aig_witness_out false 4.43/1.92 --bmc1_verbose false 4.43/1.92 --bmc1_dump_clauses_tptp false 4.43/1.92 --bmc1_dump_unsat_core_tptp false 4.43/1.92 --bmc1_dump_file - 4.43/1.92 --bmc1_ucm_expand_uc_limit 128 4.43/1.92 --bmc1_ucm_n_expand_iterations 6 4.43/1.92 --bmc1_ucm_extend_mode 1 4.43/1.92 --bmc1_ucm_init_mode 2 4.43/1.92 --bmc1_ucm_cone_mode none 4.43/1.92 --bmc1_ucm_reduced_relation_type 0 4.43/1.92 --bmc1_ucm_relax_model 4 4.43/1.92 --bmc1_ucm_full_tr_after_sat true 4.43/1.92 --bmc1_ucm_expand_neg_assumptions false 4.43/1.92 --bmc1_ucm_layered_model none 4.43/1.92 --bmc1_ucm_max_lemma_size 10 4.43/1.92 4.43/1.92 ------ AIG Options 4.43/1.92 4.43/1.92 --aig_mode false 4.43/1.92 4.43/1.92 ------ Instantiation Options 4.43/1.92 4.43/1.92 --instantiation_flag true 4.43/1.92 --inst_sos_flag false 4.43/1.92 --inst_sos_phase true 4.43/1.92 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb] 4.43/1.92 --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb] 4.43/1.92 --inst_lit_sel_side num_symb 4.43/1.92 --inst_solver_per_active 1400 4.43/1.92 --inst_solver_calls_frac 1. 4.43/1.92 --inst_to_smt_solver true 4.43/1.92 --inst_passive_queue_type priority_queues 4.43/1.92 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]] 4.43/1.92 --inst_passive_queues_freq [25;2] 4.43/1.92 --inst_dismatching true 4.43/1.92 --inst_eager_unprocessed_to_passive true 4.43/1.92 --inst_unprocessed_bound 1000 4.43/1.92 --inst_prop_sim_given true 4.43/1.92 --inst_prop_sim_new false 4.43/1.92 --inst_subs_new false 4.43/1.92 --inst_eq_res_simp false 4.43/1.92 --inst_subs_given false 4.43/1.92 --inst_orphan_elimination true 4.43/1.92 --inst_learning_loop_flag true 4.43/1.92 --inst_learning_start 3000 4.43/1.92 --inst_learning_factor 2 4.43/1.92 --inst_start_prop_sim_after_learn 3 4.43/1.92 --inst_sel_renew solver 4.43/1.92 --inst_lit_activity_flag true 4.43/1.92 --inst_restr_to_given false 4.43/1.92 --inst_activity_threshold 500 4.43/1.92 4.43/1.92 ------ Resolution Options 4.43/1.92 4.43/1.92 --resolution_flag false 4.43/1.92 --res_lit_sel adaptive 4.43/1.92 --res_lit_sel_side none 4.43/1.92 --res_ordering kbo 4.43/1.92 --res_to_prop_solver active 4.43/1.92 --res_prop_simpl_new false 4.43/1.92 --res_prop_simpl_given true 4.43/1.92 --res_to_smt_solver true 4.43/1.92 --res_passive_queue_type priority_queues 4.43/1.92 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]] 4.43/1.92 --res_passive_queues_freq [15;5] 4.43/1.92 --res_forward_subs full 4.43/1.92 --res_backward_subs full 4.43/1.92 --res_forward_subs_resolution true 4.43/1.92 --res_backward_subs_resolution true 4.43/1.92 --res_orphan_elimination true 4.43/1.92 --res_time_limit 300. 4.43/1.92 4.43/1.92 ------ Superposition Options 4.43/1.92 4.43/1.92 --superposition_flag false 4.43/1.92 --sup_passive_queue_type priority_queues 4.43/1.92 --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]] 4.43/1.92 --sup_passive_queues_freq [8;1;4;4] 4.43/1.92 --demod_completeness_check fast 4.43/1.92 --demod_use_ground true 4.43/1.92 --sup_unprocessed_bound 0 4.43/1.92 --sup_to_prop_solver passive 4.43/1.92 --sup_prop_simpl_new true 4.43/1.92 --sup_prop_simpl_given true 4.43/1.92 --sup_fun_splitting false 4.43/1.92 --sup_iter_deepening 2 4.43/1.92 --sup_restarts_mult 12 4.43/1.92 --sup_score sim_d_gen 4.43/1.92 --sup_share_score_frac 0.2 4.43/1.92 --sup_share_max_num_cl 500 4.43/1.92 --sup_ordering kbo 4.43/1.92 --sup_symb_ordering invfreq 4.43/1.92 --sup_term_weight default 4.43/1.92 4.43/1.92 ------ Superposition Simplification Setup 4.43/1.92 4.43/1.92 --sup_indices_passive [LightNormIndex;FwDemodIndex] 4.43/1.92 --sup_full_triv [SMTSimplify;PropSubs] 4.43/1.92 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] 4.43/1.92 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 4.43/1.92 --sup_immed_triv [] 4.43/1.92 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes] 4.43/1.92 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes] 4.43/1.92 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod] 4.43/1.92 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 4.43/1.92 --sup_input_triv [Unflattening;SMTSimplify] 4.43/1.92 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] 4.43/1.92 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 4.43/1.92 --sup_full_fixpoint true 4.43/1.92 --sup_main_fixpoint true 4.43/1.92 --sup_immed_fixpoint false 4.43/1.92 --sup_input_fixpoint true 4.43/1.92 --sup_cache_sim none 4.43/1.92 --sup_smt_interval 500 4.43/1.92 --sup_bw_gjoin_interval 0 4.43/1.92 4.43/1.92 ------ Combination Options 4.43/1.92 4.43/1.92 --comb_mode clause_based 4.43/1.92 --comb_inst_mult 5 4.43/1.92 --comb_res_mult 1 4.43/1.92 --comb_sup_mult 8 4.43/1.92 --comb_sup_deep_mult 2 4.43/1.92 4.43/1.92 ------ Debug Options 4.43/1.92 4.43/1.92 --dbg_backtrace false 4.43/1.92 --dbg_dump_prop_clauses false 4.43/1.92 --dbg_dump_prop_clauses_file - 4.43/1.92 --dbg_out_stat false 4.43/1.92 --dbg_just_parse false 4.43/1.92 4.43/1.92 4.43/1.92 4.43/1.92 4.43/1.92 ------ Proving... 4.43/1.92 4.43/1.92 4.43/1.92 % SZS status Satisfiable for theBenchmark.p 4.43/1.92 4.43/1.92 ------ Building Model...Done 4.43/1.92 4.43/1.92 %------ The model is defined over ground terms (initial term algebra). 4.43/1.92 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 4.43/1.92 %------ where \phi is a formula over the term algebra. 4.43/1.92 %------ If we have equality in the problem then it is also defined as a predicate above, 4.43/1.92 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type 4.43/1.92 %------ See help for --sat_out_model for different model outputs. 4.43/1.92 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "=" 4.43/1.92 %------ where the first argument stands for the sort ($i in the unsorted case) 4.43/1.92 % SZS output start Model for theBenchmark.p 4.43/1.92 4.43/1.92 %------ Positive definition of equality_sorted 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_tType,X0_o,X1_o] : 4.43/1.92 ( equality_sorted(X0_tType,X0_o,X1_o) <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( X0_tType=$o & X1_o=X0_o ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( 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$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( 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$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='A_ell2_a_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( 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$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='A_ell2_a_ell2_cblinfun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( 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$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( 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$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( 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$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( 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$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='B_ell2_b_ell2_cblinfun_set$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( 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$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( 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$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( 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$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( 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$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='B_ell2_b_ell2_cblinfun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( 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$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( 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$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( 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$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( 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$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='B_b_prod_ell2_b_b_prod_ell2_cblinfun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( 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$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='B$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='B$' & X1_'B'=X0_'B' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='A_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( 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$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( 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$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='A_ell2_a_ell2_cblinfun_set$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='A_ell2_a_ell2_cblinfun_set$' & X1_'A_ell2_a_ell2_cblinfun_set'=X0_'A_ell2_a_ell2_cblinfun_set' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( 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$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( 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$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( 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$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( 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$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( 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$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( 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$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='C$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='C$' & X1_'C'=X0_'C' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='A$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='A$' & X1_'A'=X0_'A' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( 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$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 | 4.43/1.92 ( 4.43/1.92 ( X0_tType='A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'complements$ad' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : 4.43/1.92 ( 'complements$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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'bij_betw$s' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'bij_betw$l' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'iso_register$a' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$aq' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'complements$y' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'complements$r' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$o' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'bij_betw$ab' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'member$b' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'complements$' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'iso_register$ab' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : 4.43/1.92 ( 'iso_register$ab'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'equivalent_registers$d' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'equivalent_registers$ac' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'bij_betw$q' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'equivalent_registers$ah' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'compatible$ar' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'regular_register$b' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( 'regular_register$b'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'compatible$l' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'complements$w' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'compatible$m' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'compatible$u' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'compatible$aw' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'bij_betw$ad' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$g' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( 'register$g'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'equivalent_registers$at' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'bij_betw$c' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'compatible$f' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$ad' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : 4.43/1.92 ( 'register$ad'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'iso_register$j' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'complements$z' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'regular_register$h' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : 4.43/1.92 ( 'regular_register$h'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'bij_betw$ae' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'compatible$o' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$d' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( 'register$d'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'regular_register$g' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : 4.43/1.92 ( 'regular_register$g'(X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'compatible$ag' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'equivalent_registers$c' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'member$c' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'compatible$ac' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'complements$x' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'compatible$ae' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'complements$m' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'iso_register$z' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : 4.43/1.92 ( 'iso_register$z'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'equivalent_registers$j' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$ae' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'equivalent_registers$ad' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'iso_register$q' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'regular_register$f' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : 4.43/1.92 ( 'regular_register$f'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'bij_betw$aa' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'fun_app$be' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'B_ell2_b_ell2_cblinfun_bool_fun',X0_'B_ell2_b_ell2_cblinfun'] : 4.43/1.92 ( 'fun_app$be'(X0_'B_ell2_b_ell2_cblinfun_bool_fun',X0_'B_ell2_b_ell2_cblinfun') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( X0_'B_ell2_b_ell2_cblinfun_bool_fun'='top$u' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'equivalent_registers$' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( 'equivalent_registers$'(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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'compatible$b' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'bij_betw$ac' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'compatible$j' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$ak' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : 4.43/1.92 ( 'register$ak'(X0_'C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'complements$o' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'equivalent_registers$p' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$r' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : 4.43/1.92 ( 'register$r'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'equivalent_registers$m' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$e' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$ac' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : 4.43/1.92 ( 'register$ac'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'iso_register$b' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'iso_register$' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'compatible$a' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'compatible$ah' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'bij_betw$z' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'bij_betw$r' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'bij_betw$i' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$ah' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$b' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'equivalent_registers$au' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'compatible$ab' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'complements$g' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'fun_app$ba' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( 'fun_app$ba'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_bool_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_bool_fun'='top$q' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'complements$v' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_c_b_complement_domain_prod_ell2_a_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : 4.43/1.92 ( 'complements$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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'iso_register$ac' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : 4.43/1.92 ( 'iso_register$ac'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'compatible$' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'complements$f' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$ai' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'bij_betw$e' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$c' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : 4.43/1.92 ( 'register$c'(X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'iso_register$h' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'complements$aa' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$j' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( 'register$j'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'compatible$d' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$k' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'fun_app$bb' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( 'fun_app$bb'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun'='top$r' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'bij_betw$' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set'] : 4.43/1.92 ( 'bij_betw$'(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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'complements$j' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'iso_register$g' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'complements$ac' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'complements$d' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'complements$e' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'complements$b' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'bij_betw$w' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( 'bij_betw$w'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X1_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( X1_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set'=X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'compatible$e' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$af' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'complements$t' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'bij_betw$n' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'bij_betw$v' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( 'bij_betw$v'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set'=X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'complements$i' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'regular_register$d' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : 4.43/1.92 ( 'regular_register$d'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$u' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : 4.43/1.92 ( 'register$u'(X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$m' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( 'register$m'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$t' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : 4.43/1.92 ( 'register$t'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$a' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( 'register$a'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$aa' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : 4.43/1.92 ( 'register$aa'(X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'equivalent_registers$k' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'complements$ab' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'equivalent_registers$y' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'compatible$k' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'iso_register$e' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'compatible$af' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$z' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : 4.43/1.92 ( 'register$z'(X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'compatible$c' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'equivalent_registers$b' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'bij_betw$a' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'equivalent_registers$n' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'compatible$n' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'compatible$i' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$s' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : 4.43/1.92 ( 'register$s'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'bij_betw$m' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'iso_register$s' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'compatible$ad' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'equivalent_registers$ab' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'equivalent_registers$a' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'compatible$ax' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'iso_register$f' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'regular_register$a' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( 'regular_register$a'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'bij_betw$h' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'compatible$g' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'iso_register$v' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( 'iso_register$v'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( 'register$'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'member$d' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'complements$h' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'bij_betw$y' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'equivalent_registers$r' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'equivalent_registers$g' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'member$e' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'bij_betw$o' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'equivalent_registers$f' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'iso_register$r' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$f' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'bij_betw$d' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$ag' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'bij_betw$b' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'compatible$s' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'fun_app$bc' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( 'fun_app$bc'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_bool_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_bool_fun'='top$s' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'iso_register$u' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( 'iso_register$u'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'regular_register$i' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( 'regular_register$i'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'compatible$h' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'iso_register$c' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( 'iso_register$c'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'compatible$r' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'compatible$p' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'equivalent_registers$l' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'equivalent_registers$h' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'iso_register$t' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( 'iso_register$t'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'equivalent_registers$x' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'complements$u' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'regular_register$' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( 'regular_register$'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'equivalent_registers$t' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'iso_register$p' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'complements$n' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'compatible$q' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'bij_betw$u' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( 'bij_betw$u'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X1_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( X1_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set'=X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'complements$a' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$as' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'equivalent_registers$al' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'bij_betw$k' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( 'bij_betw$k'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X1_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( X1_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set'=X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'complements$c' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$i' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( 'register$i'(X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'iso_register$aa' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'regular_register$c' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : 4.43/1.92 ( 'regular_register$c'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'complements$s' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$l' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$h' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( 'register$h'(X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$q' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : 4.43/1.92 ( 'register$q'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'member$a' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'equivalent_registers$z' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'iso_register$o' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'equivalent_registers$aa' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'iso_register$d' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'compatible$t' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$n' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'complements$p' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'bij_betw$j' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'equivalent_registers$ae' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$ab' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'register$p' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : 4.43/1.92 ( 'register$p'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 4.43/1.92 $false 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'regular_register$e' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : 4.43/1.92 ( 'regular_register$e'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'complements$q' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'member$' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_set'] : 4.43/1.92 ( 'member$'(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_set') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'complements$k' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( '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') <=> 4.43/1.92 $true 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of 'fun_app$bd' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [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'] : 4.43/1.92 ( 'fun_app$bd'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun'='top$t' ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'comp$dd' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'comp$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'register_pair$an' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'register_pair$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'comp$h' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'comp$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'t3$' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'] : 4.43/1.92 ( iProver_Flat_'t3$'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'inv_into$aq' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_ell2_a_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'inv_into$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'comp$v' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'comp$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'comp$ae' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'comp$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'fun_app$ab' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun'] : 4.43/1.92 ( iProver_Flat_'fun_app$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'register_tensor$am' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'C_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_c_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'register_tensor$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'register_tensor$az' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'register_tensor$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'register_tensor$ad' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'C_b_complement_domain_a_b_complement_domain_prod_ell2_c_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'register_tensor$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'comp$' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'comp$'(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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'comp$dp' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'comp$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'register_tensor$t' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'register_tensor$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'register_tensor$c' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'register_tensor$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'comp$dn' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'comp$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'register_tensor$bf' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'register_tensor$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'comp$cp' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'comp$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'fun_app$av' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun'] : 4.43/1.92 ( iProver_Flat_'fun_app$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'comp$q' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'comp$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'comp$w' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'comp$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'inv_into$m' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'inv_into$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'collect$b' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_bool_fun'] : 4.43/1.92 ( iProver_Flat_'collect$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'fun_app$i' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'] : 4.43/1.92 ( iProver_Flat_'fun_app$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'register_tensor$w' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'register_tensor$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'register_tensor$f' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'register_tensor$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'tensor_op$x' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun'] : 4.43/1.92 ( iProver_Flat_'tensor_op$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'register_tensor$aw' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'register_tensor$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'tensor_op$k' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun'] : 4.43/1.92 ( iProver_Flat_'tensor_op$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'register_tensor$x' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'register_tensor$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'butterfly$a' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2',X1_'A_ell2'] : 4.43/1.92 ( iProver_Flat_'butterfly$a'(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2',X1_'A_ell2') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'register_tensor$z' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'register_tensor$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'comp$z' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'comp$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'fun_app$e' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'] : 4.43/1.92 ( iProver_Flat_'fun_app$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'inv_into$o' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'inv_into$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'complement$f' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'complement$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'comp$bu' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X1_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'comp$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'comp$bj' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'comp$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'register_pair$g' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'register_pair$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'complement$l' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'complement$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'register_tensor$e' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'register_tensor$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'register_tensor$ah' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'register_tensor$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'fun_app$ae' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun'] : 4.43/1.92 ( iProver_Flat_'fun_app$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'complement$o' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'complement$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'register_pair$am' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'register_pair$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'register_tensor$m' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : 4.43/1.92 ( iProver_Flat_'register_tensor$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') <=> 4.43/1.92 ( 4.43/1.92 ( 4.43/1.92 ( 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 ) 4.43/1.92 ) 4.43/1.92 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ) 4.43/1.92 ). 4.43/1.92 4.43/1.92 %------ Positive definition of iProver_Flat_'comp$ax' 4.43/1.92 fof(lit_def,axiom, 4.43/1.92 (! [X0_'A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_fun'] : 4.43/1.93 ( iProver_Flat_'comp$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') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( 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 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$dq' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : 4.43/1.93 ( iProver_Flat_'comp$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') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( 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 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$cb' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'] : 4.43/1.93 ( iProver_Flat_'comp$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') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( 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 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'fun_app$y' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'] : 4.43/1.93 ( iProver_Flat_'fun_app$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') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$dh' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.93 ( iProver_Flat_'comp$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') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( 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 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$av' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'A_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.93 ( iProver_Flat_'register_tensor$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') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( 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 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$c' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : 4.43/1.93 ( iProver_Flat_'comp$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') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( 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 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'fun_app$aw' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'] : 4.43/1.93 ( iProver_Flat_'fun_app$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') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( 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 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'id$a' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'] : 4.43/1.93 ( iProver_Flat_'id$a'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( 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 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$ac' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'A_b_complement_domain_c_b_complement_domain_prod_ell2_a_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.93 ( iProver_Flat_'register_tensor$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') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( 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 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$b' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'] : 4.43/1.93 ( iProver_Flat_'comp$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') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( 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 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'collect$c' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun'] : 4.43/1.93 ( iProver_Flat_'collect$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') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( 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 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$cg' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'] : 4.43/1.93 ( iProver_Flat_'comp$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') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( 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 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$u' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : 4.43/1.93 ( iProver_Flat_'register_pair$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') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( 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 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$b' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.93 ( iProver_Flat_'register_pair$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') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( 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 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$cr' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'] : 4.43/1.93 ( iProver_Flat_'comp$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') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( 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 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$at' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_a_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_fun'] : 4.43/1.93 ( iProver_Flat_'comp$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') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( 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 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'tensor_op$d' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'A_a_a_complement_domain_prod_ell2_a_a_a_complement_domain_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun',X0_'A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun'] : 4.43/1.93 ( iProver_Flat_'tensor_op$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') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( 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 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'tensor_op$t' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'A_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun'] : 4.43/1.93 ( iProver_Flat_'tensor_op$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') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( 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 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'fun_app$am' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X1_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'] : 4.43/1.93 ( iProver_Flat_'fun_app$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') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( 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 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$j' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.93 ( iProver_Flat_'comp$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') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( 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 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$bw' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X1_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'] : 4.43/1.93 ( iProver_Flat_'comp$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') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( 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 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$t' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : 4.43/1.93 ( iProver_Flat_'register_pair$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') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( 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 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$ce' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'] : 4.43/1.93 ( iProver_Flat_'comp$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') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( 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 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$ba' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : 4.43/1.93 ( iProver_Flat_'register_pair$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') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( 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 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'ket$' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'B_ell2',X0_'B'] : 4.43/1.93 ( iProver_Flat_'ket$'(X0_'B_ell2',X0_'B') <=> 4.43/1.93 $true 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$be' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_pair$be'(X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'inv_into$g' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'inv_into$g'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$df' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$df'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'complement$q' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'complement$q'(X0_'C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$bj' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$bj'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$ct' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$ct'(X0_'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$e' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$e'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'tensor_op$p' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun',X1_'A_ell2_a_ell2_cblinfun'] : 4.43/1.93 ( iProver_Flat_'tensor_op$p'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun',X1_'A_ell2_a_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'fun_app$c' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'fun_app$c'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$aw' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$aw'(X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'complement$i' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'complement$i'(X0_'A_b_complement_domain_b_complement_domain_ell2_a_b_complement_domain_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_b_complement_domain_b_complement_domain_ell2_a_b_complement_domain_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_b_complement_domain_ell2_a_b_complement_domain_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$d' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_pair$d'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'fun_app$z' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'fun_app$z'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$da' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$da'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$av' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_pair$av'(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_a_a_complement_domain_prod_ell2_a_a_a_complement_domain_prod_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$ag' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$ag'(X0_'B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$ak' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_pair$ak'(X0_'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$cx' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$cx'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$k' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$k'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'id$c' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'id$c'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'inv_into$ah' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'inv_into$ah'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'swap$j' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'swap$j'(X0_'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$g' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$g'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'tensor_op$q' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'tensor_op$q'(X0_'C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'=iProver_Domain_'C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'tensor_op$s' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'tensor_op$s'(X0_'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$cy' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$cy'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'inv_into$z' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( 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') <=> 4.43/1.93 $true 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$aq' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_pair$aq'(X0_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$ao' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$ao'(X0_'A_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$ch' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$ch'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$v' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$v'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'fun_app$ah' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun'] : 4.43/1.93 ( iProver_Flat_'fun_app$ah'(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'tensor_op$u' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'tensor_op$u'(X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'tensor_op$e' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'tensor_op$e'(X0_'A_a_c_complement_domain_prod_ell2_a_a_c_complement_domain_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun',X0_'A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_c_complement_domain_prod_ell2_a_a_c_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_c_complement_domain_prod_ell2_a_a_c_complement_domain_prod_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$bp' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$bp'(X0_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'f$' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.93 ( iProver_Flat_'f$'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$cq' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$cq'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$bb' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_pair$bb'(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$do' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$do'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$u' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$u'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$co' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$co'(X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'fun_app$ar' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'fun_app$ar'(X0_'B_ell2_b_ell2_cblinfun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'tensor_op$c' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'tensor_op$c'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$p' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$p'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'ket$c' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'A_c_prod_ell2',X0_'A_c_prod'] : 4.43/1.93 ( iProver_Flat_'ket$c'(X0_'A_c_prod_ell2',X0_'A_c_prod') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_prod_ell2'=iProver_Domain_'A_c_prod_ell2'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$at' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_pair$at'(X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_b_a_complement_domain_prod_ell2_b_b_a_complement_domain_prod_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'inv_into$c' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'inv_into$c'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$ca' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$ca'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$aw' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_pair$aw'(X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_a_c_complement_domain_prod_ell2_a_a_c_complement_domain_prod_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'inv_into$aj' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'inv_into$aj'(X0_'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$ar' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$ar'(X0_'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$l' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$l'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$aj' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_pair$aj'(X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$ad' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$ad'(X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'fun_app$r' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'fun_app$r'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun'=iProver_Domain_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$bk' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$bk'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$cd' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$cd'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$i' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$i'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'fun_app$k' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'fun_app$k'(X0_'B_ell2_b_ell2_cblinfun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'fun_app$' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'fun_app$'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$bh' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$bh'(X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'fun_app$x' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : 4.43/1.93 ( iProver_Flat_'fun_app$x'(X0_'B_ell2_b_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'top$d' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set'] : 4.43/1.93 ( iProver_Flat_'top$d'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'fun_app$ap' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'fun_app$ap'(X0_'C_ell2_c_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$ar' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$ar'(X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$ap' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$ap'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'fun_app$o' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'fun_app$o'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$bc' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$bc'(X0_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'g$' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.93 ( iProver_Flat_'g$'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$bd' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$bd'(X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$cv' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$cv'(X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$aj' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$aj'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'fun_app$ak' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'fun_app$ak'(X0_'A_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun',X0_'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun'=iProver_Domain_'A_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$s' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$s'(X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$aj' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$aj'(X0_'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$ba' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$ba'(X0_'C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'inv_into$ag' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'inv_into$ag'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X1_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$di' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$di'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'fun_app$ao' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'fun_app$ao'(X0_'A_ell2_a_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$l' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$l'(X0_'C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'id$g' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'] : 4.43/1.93 ( iProver_Flat_'id$g'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'inv_into$k' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'inv_into$k'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'id$d' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'id$d'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$o' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$o'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'complement$d' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'complement$d'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$aq' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$aq'(X0_'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$z' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_pair$z'(X0_'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_c_prod_ell2_a_c_prod_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'aG$' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun'] : 4.43/1.93 ( iProver_Flat_'aG$'(X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun'=iProver_Domain_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$bm' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$bm'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$as' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$as'(X0_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X1_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'id$b' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'id$b'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$aa' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_pair$aa'(X0_'A_c_prod_b_complement_domain_c_prod_ell2_a_c_prod_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_prod_b_complement_domain_c_prod_ell2_a_c_prod_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_b_complement_domain_c_prod_ell2_a_c_prod_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'collect$' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'collect$'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_bool_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$bv' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$bv'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X2_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$'(X0_'C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$au' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_pair$au'(X0_'C_ell2_c_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_b_c_complement_domain_prod_ell2_b_b_c_complement_domain_prod_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$bl' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$bl'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'top$a' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'B_ell2_b_ell2_cblinfun_set'] : 4.43/1.93 ( iProver_Flat_'top$a'(X0_'B_ell2_b_ell2_cblinfun_set') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_ell2_b_ell2_cblinfun_set'=iProver_Domain_'B_ell2_b_ell2_cblinfun_set'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'complement$m' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'complement$m'(X0_'B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'inv_into$i' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'inv_into$i'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'fun_app$ad' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : 4.43/1.93 ( iProver_Flat_'fun_app$ad'(X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$w' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_pair$w'(X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$bq' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$bq'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$ae' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_pair$ae'(X0_'A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$af' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$af'(X0_'A_c_prod_a_prod_ell2_a_c_prod_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_prod_a_prod_ell2_a_c_prod_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_a_prod_ell2_a_c_prod_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$an' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$an'(X0_'A_c_prod_a_c_prod_prod_ell2_a_c_prod_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_prod_a_c_prod_prod_ell2_a_c_prod_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_a_c_prod_prod_ell2_a_c_prod_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$ah' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$ah'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$br' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$br'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$p' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_pair$p'(X0_'A_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_b_complement_domain_ell2_a_b_complement_domain_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$n' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$n'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'inv_into$an' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'inv_into$an'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$d' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$d'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$t' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$t'(X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'fun_app$az' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'fun_app$az'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$bg' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$bg'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$r' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$r'(X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$cw' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$cw'(X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$bd' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$bd'(X0_'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$x' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$x'(X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'fun_app$ay' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'fun_app$ay'(X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$b' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$b'(X0_'C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'inv_into$q' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'inv_into$q'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$y' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_pair$y'(X0_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$bl' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$bl'(X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'fun_app$ac' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'fun_app$ac'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X1_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun'=iProver_Domain_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$bi' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$bi'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$aa' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$aa'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X2_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'tensor_op$' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'tensor_op$'(X0_'B_b_b_complement_domain_prod_ell2_b_b_b_complement_domain_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun',X0_'B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_b_b_complement_domain_prod_ell2_b_b_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'B_b_b_complement_domain_prod_ell2_b_b_b_complement_domain_prod_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$bi' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$bi'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$bd' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_pair$bd'(X0_'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'complement$g' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'complement$g'(X0_'A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'top$c' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set'] : 4.43/1.93 ( iProver_Flat_'top$c'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$de' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$de'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$ab' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$ab'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$ag' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_pair$ag'(X0_'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'inv_into$ab' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'inv_into$ab'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$x' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_pair$x'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'swap$g' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'swap$g'(X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'inv_into$f' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'inv_into$f'(X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'inv_into$y' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'inv_into$y'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'id$i' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'id$i'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'tensor_op$n' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun',X1_'B_ell2_b_ell2_cblinfun'] : 4.43/1.93 ( iProver_Flat_'tensor_op$n'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun',X1_'B_ell2_b_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'fun_app$f' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'fun_app$f'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$dc' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$dc'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'complement$c' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'complement$c'(X0_'A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'fun_app$as' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'fun_app$as'(X0_'A_ell2_a_ell2_cblinfun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$af' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$af'(X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'id$f' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.93 ( iProver_Flat_'id$f'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$ap' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$ap'(X0_'A_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$cj' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$cj'(X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$h' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$h'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'top$g' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'top$g'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$cm' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$cm'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'fun_app$s' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'fun_app$s'(X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'fun_app$l' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun'] : 4.43/1.93 ( iProver_Flat_'fun_app$l'(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$q' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$q'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$ax' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$ax'(X0_'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun'=iProver_Domain_'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$s' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_pair$s'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'fun_app$t' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'fun_app$t'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$bp' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$bp'(X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$az' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_pair$az'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'inv_into$ae' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'inv_into$ae'(X0_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'butterfly$b' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2',X1_'C_ell2'] : 4.43/1.93 ( iProver_Flat_'butterfly$b'(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2',X1_'C_ell2') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'inv_into$ad' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'inv_into$ad'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$v' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_pair$v'(X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'inv_into$t' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'inv_into$t'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$y' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$y'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$ac' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$ac'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$bo' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$bo'(X0_'C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$f' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_pair$f'(X0_'A_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'id$h' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : 4.43/1.93 ( iProver_Flat_'id$h'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$r' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$r'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$bc' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$bc'(X0_'B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'inv_into$ar' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'inv_into$ar'(X0_'A_ell2_a_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_ell2_a_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$n' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$n'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$ai' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$ai'(X0_'A_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$l' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_pair$l'(X0_'A_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'complement$n' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'complement$n'(X0_'B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'inv_into$ai' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'inv_into$ai'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X1_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'complement$e' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'complement$e'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'inv_into$h' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'inv_into$h'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'fun_app$aq' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'fun_app$aq'(X0_'A_ell2_a_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'assoc$n' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'assoc$n'(X0_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'complement$a' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'complement$a'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'fun_app$ai' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'fun_app$ai'(X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun',X1_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun'=iProver_Domain_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'aF$' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun'] : 4.43/1.93 ( iProver_Flat_'aF$'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun'=iProver_Domain_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$db' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$db'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$s' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$s'(X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$bc' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_pair$bc'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'fun_app$al' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'fun_app$al'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X1_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'inv_into$ao' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'inv_into$ao'(X0_'A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$ag' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$ag'(X0_'A_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$ax' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_pair$ax'(X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_c_a_complement_domain_prod_ell2_c_c_a_complement_domain_prod_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$dk' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$dk'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$ak' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$ak'(X0_'A_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'t2$' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'] : 4.43/1.93 ( iProver_Flat_'t2$'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'fun_app$h' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'fun_app$h'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'id$e' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'id$e'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$bx' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$bx'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$ci' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$ci'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$by' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$by'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$ai' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_pair$ai'(X0_'A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'inv_into$e' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'inv_into$e'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$bo' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$bo'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$bn' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$bn'(X0_'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun',X0_'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun'=iProver_Domain_'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'top$b' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'top$b'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$ao' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_pair$ao'(X0_'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'inv_into$x' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'inv_into$x'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$i' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_pair$i'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'swap$e' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'swap$e'(X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'tensor_op$o' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun'] : 4.43/1.93 ( iProver_Flat_'tensor_op$o'(X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun'=iProver_Domain_'C_a_prod_ell2_c_a_prod_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'tensor_op$m' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X1_'C_ell2_c_ell2_cblinfun'] : 4.43/1.93 ( iProver_Flat_'tensor_op$m'(X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X1_'C_ell2_c_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun'=iProver_Domain_'C_c_prod_ell2_c_c_prod_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'inv_into$am' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'inv_into$am'(X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$au' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$au'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'complement$r' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'complement$r'(X0_'C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'fun_app$an' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'fun_app$an'(X0_'B_ell2_b_ell2_cblinfun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$dg' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$dg'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$bf' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_pair$bf'(X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'fun_app$ag' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'fun_app$ag'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun'=iProver_Domain_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'ket$a' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'A_ell2',X0_'A'] : 4.43/1.93 ( iProver_Flat_'ket$a'(X0_'A_ell2',X0_'A') <=> 4.43/1.93 $true 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$u' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$u'(X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$ap' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_pair$ap'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$o' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( 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') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( 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 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'fun_app$j' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'fun_app$j'(X0_'B_ell2_b_ell2_cblinfun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$bh' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$bh'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$as' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$as'(X0_'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'tensor_op$b' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'tensor_op$b'(X0_'B_b_c_complement_domain_prod_ell2_b_b_c_complement_domain_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun',X0_'B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_b_c_complement_domain_prod_ell2_b_b_c_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'B_b_c_complement_domain_prod_ell2_b_b_c_complement_domain_prod_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'inv_into$s' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'inv_into$s'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X1_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$aq' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$aq'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$bb' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$bb'(X0_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'butterfly$' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2',X1_'B_ell2'] : 4.43/1.93 ( iProver_Flat_'butterfly$'(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2',X1_'B_ell2') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'inv_into$b' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'inv_into$b'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X1_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$ak' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$ak'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'complement$p' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'complement$p'(X0_'A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'fun_app$at' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'fun_app$at'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun',X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'complement$h' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'complement$h'(X0_'B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$bn' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$bn'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$d' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$d'(X0_'A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$c' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_pair$c'(X0_'A_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_tensor$a' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_tensor$a'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'complement$k' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'complement$k'(X0_'C_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'C_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'inv_into$af' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'inv_into$af'(X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'register_pair$ad' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'register_pair$ad'(X0_'A_b_complement_domain_c_prod_ell2_a_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_b_complement_domain_c_prod_ell2_a_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_c_prod_ell2_a_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'tensor_op$a' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'tensor_op$a'(X0_'B_b_a_complement_domain_prod_ell2_b_b_a_complement_domain_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun',X0_'B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'B_b_a_complement_domain_prod_ell2_b_b_a_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'B_b_a_complement_domain_prod_ell2_b_b_a_complement_domain_prod_ell2_cblinfun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'assoc$o' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'assoc$o'(X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.93 ) 4.43/1.93 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ) 4.43/1.93 ). 4.43/1.93 4.43/1.93 %------ Positive definition of iProver_Flat_'comp$au' 4.43/1.93 fof(lit_def,axiom, 4.43/1.93 (! [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'] : 4.43/1.93 ( iProver_Flat_'comp$au'(X0_'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.93 ( 4.43/1.93 ( 4.43/1.93 ( X0_'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'comp$cf' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'comp$cf'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'register_tensor$j' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'register_tensor$j'(X0_'C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'register_tensor$k' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'register_tensor$k'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'fun_app$b' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'fun_app$b'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'collect$a' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'collect$a'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'inv_into$l' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'inv_into$l'(X0_'B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'comp$ai' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'comp$ai'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'register_pair$ac' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'register_pair$ac'(X0_'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_c_prod_ell2_a_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'inv_into$ac' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'inv_into$ac'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'register_pair$ab' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'register_pair$ab'(X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'inv_into$n' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'inv_into$n'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'comp$bz' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'comp$bz'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'fun_app$v' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : 4.43/1.94 ( iProver_Flat_'fun_app$v'(X0_'B_ell2_b_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'register_pair$ay' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'register_pair$ay'(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_c_c_complement_domain_prod_ell2_c_c_c_complement_domain_prod_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'register_pair$e' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'register_pair$e'(X0_'A_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'comp$m' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'comp$m'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'inv_into$ak' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'inv_into$ak'(X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'register_pair$as' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'register_pair$as'(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_b_b_complement_domain_prod_ell2_b_b_b_complement_domain_prod_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'comp$cs' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'comp$cs'(X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'inv_into$w' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'inv_into$w'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'collect$d' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_bool_fun'] : 4.43/1.94 ( iProver_Flat_'collect$d'(X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_bool_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun_set'=iProver_Domain_'B_ell2_b_ell2_cblinfun_set'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'register_pair$' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'register_pair$'(X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'comp$cl' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'comp$cl'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'comp$dj' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'comp$dj'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'comp$f' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'comp$f'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'swap$h' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'swap$h'(X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'fun_app$d' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'fun_app$d'(X0_'B_ell2_b_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'inv_into$' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'inv_into$'(X0_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'comp$dm' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'comp$dm'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'ket$b' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'C_ell2',X0_'C'] : 4.43/1.94 ( iProver_Flat_'ket$b'(X0_'C_ell2',X0_'C') <=> 4.43/1.94 $true 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'fun_app$g' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'fun_app$g'(X0_'B_ell2_b_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'register_tensor$at' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'register_tensor$at'(X0_'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'comp$az' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'comp$az'(X0_'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_a_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'fun_app$m' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'fun_app$m'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X1_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'register_pair$j' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'register_pair$j'(X0_'C_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'C_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'inv_into$j' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'inv_into$j'(X0_'B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'register_pair$a' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'register_pair$a'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'comp$be' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'comp$be'(X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'register_pair$q' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'register_pair$q'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'fun_app$w' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'fun_app$w'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'tensor_op$f' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'tensor_op$f'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'register_pair$n' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'register_pair$n'(X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'inv_into$a' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'inv_into$a'(X0_'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'t1$' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'] : 4.43/1.94 ( iProver_Flat_'t1$'(X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'butterfly$c' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X0_'A_c_prod_ell2',X1_'A_c_prod_ell2'] : 4.43/1.94 ( iProver_Flat_'butterfly$c'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X0_'A_c_prod_ell2',X1_'A_c_prod_ell2') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'tensor_op$i' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'tensor_op$i'(X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'register_pair$ah' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'register_pair$ah'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'fun_app$p' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'fun_app$p'(X0_'B_ell2_b_ell2_cblinfun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'inv_into$v' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'inv_into$v'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'comp$al' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'comp$al'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'register_tensor$ay' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'register_tensor$ay'(X0_'A_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'fun_app$ax' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'fun_app$ax'(X0_'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun'=iProver_Domain_'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'fun_app$af' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : 4.43/1.94 ( iProver_Flat_'fun_app$af'(X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'register_pair$r' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'register_pair$r'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'comp$cc' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'comp$cc'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'register_tensor$ab' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'register_tensor$ab'(X0_'A_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'complement$j' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'complement$j'(X0_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'comp$cz' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'comp$cz'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'comp$bf' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'comp$bf'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'fun_app$au' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'fun_app$au'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'register_pair$al' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'register_pair$al'(X0_'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'comp$ay' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'comp$ay'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'register_tensor$y' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'register_tensor$y'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'fun_app$a' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'fun_app$a'(X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'tensor_op$r' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'tensor_op$r'(X0_'B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'register_pair$ar' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'register_pair$ar'(X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'fun_app$u' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'fun_app$u'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'comp$p' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'comp$p'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'id$' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : 4.43/1.94 ( iProver_Flat_'id$'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'complement$b' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'complement$b'(X0_'A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'tensor_op$l' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun'] : 4.43/1.94 ( iProver_Flat_'tensor_op$l'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'comp$bs' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'comp$bs'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'tensor_op$h' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'tensor_op$h'(X0_'C_c_c_complement_domain_prod_ell2_c_c_c_complement_domain_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X0_'C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'C_c_c_complement_domain_prod_ell2_c_c_c_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_c_complement_domain_prod_ell2_c_c_c_complement_domain_prod_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'fun_app$n' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'fun_app$n'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'comp$o' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'comp$o'(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'comp$bb' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'comp$bb'(X0_'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_a_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'comp$a' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'comp$a'(X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'comp$bt' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'comp$bt'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'register_tensor$be' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'register_tensor$be'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'register_tensor$i' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'register_tensor$i'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'comp$dl' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'comp$dl'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'comp$am' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'comp$am'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X1_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'complement$' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'complement$'(X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'inv_into$al' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'inv_into$al'(X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'inv_into$aa' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'inv_into$aa'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'register_tensor$al' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'register_tensor$al'(X0_'C_a_c_prod_prod_ell2_c_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'C_a_c_prod_prod_ell2_c_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_prod_ell2_c_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'inv_into$u' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'inv_into$u'(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'register_tensor$bm' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'register_tensor$bm'(X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'register_pair$af' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'register_pair$af'(X0_'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'register_tensor$bq' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'register_tensor$bq'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'comp$ba' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'comp$ba'(X0_'A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'fun_app$q' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'fun_app$q'(X0_'B_ell2_b_ell2_cblinfun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'comp$cn' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'comp$cn'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'register_pair$m' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'register_pair$m'(X0_'A_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'inv_into$p' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'inv_into$p'(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'register_tensor$bg' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'register_tensor$bg'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'comp$ck' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'comp$ck'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'comp$ao' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'comp$ao'(X0_'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_a_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'tensor_op$g' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'tensor_op$g'(X0_'C_c_a_complement_domain_prod_ell2_c_c_a_complement_domain_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X0_'C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'C_c_a_complement_domain_prod_ell2_c_c_a_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'C_c_a_complement_domain_prod_ell2_c_c_a_complement_domain_prod_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'inv_into$r' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'inv_into$r'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'comp$g' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'comp$g'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'register_pair$k' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'register_pair$k'(X0_'A_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'i$' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'i$'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'comp$cu' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'comp$cu'(X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'comp$av' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'comp$av'(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'inv_into$ap' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'inv_into$ap'(X0_'A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'register_pair$h' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'register_pair$h'(X0_'C_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'C_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'comp$an' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'comp$an'(X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X1_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'comp$bk' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'comp$bk'(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X1_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun',X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'register_tensor$ae' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'register_tensor$ae'(X0_'C_b_complement_domain_c_b_complement_domain_prod_ell2_c_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'C_b_complement_domain_c_b_complement_domain_prod_ell2_c_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_b_complement_domain_c_b_complement_domain_prod_ell2_c_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'fun_app$aj' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'fun_app$aj'(X0_'B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun',X0_'C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun'=iProver_Domain_'B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'register_tensor$aa' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'register_tensor$aa'(X0_'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun',X0_'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'inv_into$d' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_'inv_into$d'(X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set',X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_'fun_app$aa' 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( 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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK0 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : 4.43/1.94 ( iProver_Flat_sK0(X0_'C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK1 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK1(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK2 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK2(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK3 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK3(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK4 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK4(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK5 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK5(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK6 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun'] : 4.43/1.94 ( iProver_Flat_sK6(X0_'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK7 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun'] : 4.43/1.94 ( iProver_Flat_sK7(X0_'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK8 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : 4.43/1.94 ( iProver_Flat_sK8(X0_'A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK9 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK9(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK10 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.94 ( iProver_Flat_sK10(X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK11 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun'] : 4.43/1.94 ( iProver_Flat_sK11(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK12 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK12(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK13 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( 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_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK14 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : 4.43/1.94 ( iProver_Flat_sK14(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK15 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK15(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK16 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK16(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK17 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK17(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK18 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : 4.43/1.94 ( iProver_Flat_sK18(X0_'B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK19 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK19(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK20 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK20(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK21 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK21(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK22 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK22(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK23 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK23(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK24 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'B_ell2_b_ell2_cblinfun'] : 4.43/1.94 ( iProver_Flat_sK24(X0_'B_ell2_b_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK25 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK25(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK26 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK26(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK27 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK27(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK28 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK28(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK29 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK29(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK30 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK30(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK31 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK31(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK32 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK32(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK33 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK33(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK34 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK34(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK35 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK35(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK36 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK36(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK37 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK37(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK38 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK38(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK39 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK39(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK40 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK40(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK41 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK41(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK42 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK42(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK43 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK43(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK44 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK44(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK45 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK45(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK46 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK46(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK47 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK47(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK48 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK48(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK49 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun'] : 4.43/1.94 ( iProver_Flat_sK49(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK50 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK50(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK51 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'] : 4.43/1.94 ( iProver_Flat_sK51(X0_'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK52 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.94 ( iProver_Flat_sK52(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK53 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.94 ( iProver_Flat_sK53(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK54 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.94 ( iProver_Flat_sK54(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK55 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : 4.43/1.94 ( iProver_Flat_sK55(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK56 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK56(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK57 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK57(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK58 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK58(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK59 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK59(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK60 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK60(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK61 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK61(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK62 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.94 ( iProver_Flat_sK62(X0_'B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK63 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( 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_set') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK64 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK64(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK65 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK65(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK66 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK66(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK67 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK67(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK68 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK68(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK69 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK69(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK70 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK70(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK71 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK71(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK72 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( 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',X0_'B_ell2_b_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK73 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun'] : 4.43/1.94 ( iProver_Flat_sK73(X0_'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK74 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK74(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK75 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK75(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK76 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK76(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK77 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK77(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK78 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : 4.43/1.94 ( iProver_Flat_sK78(X0_'A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK79 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK79(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK80 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK80(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK81 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK81(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK82 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK82(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK83 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK83(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK84 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK84(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK85 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK85(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK86 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.94 ( iProver_Flat_sK86(X0_'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK87 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK87(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK88 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK88(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK89 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK89(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK90 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_set'] : 4.43/1.94 ( iProver_Flat_sK90(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_set') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK91 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.94 ( iProver_Flat_sK91(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK92 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun'] : 4.43/1.94 ( iProver_Flat_sK92(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK93 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun'] : 4.43/1.94 ( iProver_Flat_sK93(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK94 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK94(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK95 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK95(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK96 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.94 ( iProver_Flat_sK96(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK97 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK97(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK98 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK98(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK99 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK99(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK100 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK100(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK101 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK101(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK102 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK102(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK103 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK103(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK104 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK104(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK105 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK105(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK106 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK106(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK107 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK107(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK108 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK108(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK109 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK109(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK110 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK110(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK111 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK111(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK112 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK112(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK113 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK113(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK114 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK114(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK115 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK115(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK116 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK116(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK117 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK117(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK118 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK118(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK119 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.94 ( iProver_Flat_sK119(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK120 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK120(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK121 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun'] : 4.43/1.94 ( iProver_Flat_sK121(X0_'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK122 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : 4.43/1.94 ( iProver_Flat_sK122(X0_'C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK123 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK123(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK124 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK124(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK125 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK125(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK126 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK126(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK127 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK127(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK128 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK128(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK129 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK129(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK130 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK130(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK131 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK131(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK132 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : 4.43/1.94 ( iProver_Flat_sK132(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK133 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK133(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK134 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK134(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK135 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK135(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK136 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 4.43/1.94 ( iProver_Flat_sK136(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK137 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : 4.43/1.94 ( iProver_Flat_sK137(X0_'B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK138 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK138(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK139 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [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'] : 4.43/1.94 ( iProver_Flat_sK139(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') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 4.43/1.94 %------ Positive definition of iProver_Flat_sK140 4.43/1.94 fof(lit_def,axiom, 4.43/1.94 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : 4.43/1.94 ( iProver_Flat_sK140(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 4.43/1.94 ( 4.43/1.94 ( 4.43/1.94 ( 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 ) 4.43/1.94 ) 4.43/1.94 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ) 4.43/1.94 ). 4.43/1.94 % SZS output end Model for theBenchmark.p 4.43/1.94 4.44/2.01 EOF