%------------------------------------------------------------------------------ % File : iProver-SAT---3.9.4 % Problem : ITP397_10 : TPTP v9.3.1. Released v8.2.0. % Transfm : none % Format : tptp:raw % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT % Computer : n007.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Fri Sep 25 01:51:16 PM UTC 2026 % Result : Satisfiable 1.76s 1.17s % Output : Model 4.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : ITP397_10 : TPTP v9.3.1. Released v8.2.0. % 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT % 0.09/0.35 % Computer : n007.cluster.edu % 0.09/0.35 % Model : x86_64 x86_64 % 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.35 % Memory : 8046.5625MB % 0.09/0.35 % OS : Linux 6.8.0-71-generic % 0.09/0.35 % CPULimit : 300 % 0.09/0.35 % WCLimit : 300 % 0.09/0.35 % DateTime : Wed Sep 23 18:29:52 UTC 2026 % 0.09/0.36 % CPUTime : % 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT % 0.13/0.39 Running model finding % 0.13/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fnt_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.13/0.40 % 0.13/0.40 % ======== iProver multi-core TPTP/SMT ========= % 0.13/0.40 % 0.13/0.40 % Detected problem language: tptp % 0.13/0.41 % Proving... % 1.76/1.17 % SZS status Started for theBenchmark.p % 1.76/1.17 % SZS status Satisfiable for theBenchmark.p % 1.76/1.17 % 1.76/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------% % 1.76/1.17 % 1.76/1.17 ------ iProver source info % 1.76/1.17 % 1.76/1.17 git: date: 2026-07-19 20:42:38 +0200 % 1.76/1.17 git: sha1: 804e7d636a263075307957e923b7a22a4035de61 % 1.76/1.17 git: non_committed_changes: false % 1.76/1.17 % 1.76/1.17 ------ Parsing... % 1.76/1.17 ------ Clausification by vclausify_rel & Parsing by iProver... % 1.76/1.17 ------ Proving... % 1.76/1.17 ------ Problem Properties % 1.76/1.17 % 1.76/1.17 % 1.76/1.17 clauses 846 % 1.76/1.17 conjectures 0 % 1.76/1.17 EPR 54 % 1.76/1.17 Horn 775 % 1.76/1.17 unary 165 % 1.76/1.17 binary 370 % 1.76/1.17 lits 1942 % 1.76/1.17 lits eq 948 % 1.76/1.17 fd_pure 0 % 1.76/1.17 fd_pseudo 0 % 1.76/1.17 fd_cond 5 % 1.76/1.17 fd_pseudo_cond 68 % 1.76/1.17 AC symbols 0 % 1.76/1.17 % 1.76/1.17 ------ Input Options Time Limit: Unbounded % 1.76/1.17 % 1.76/1.17 % 1.76/1.17 ------ Finite Models: % 1.76/1.17 % 1.76/1.17 ------ lit_activity_flag true % 1.76/1.17 % 1.76/1.17 % 1.76/1.17 ------ Trying domains of size >= : 1 % 1.76/1.17 ------ % 1.76/1.17 Current options: % 1.76/1.17 ------ % 1.76/1.17 % 1.76/1.17 ------ Input Options % 1.76/1.17 % 1.76/1.17 --out_options all % 1.76/1.17 --tptp_safe_out true % 1.76/1.17 --problem_path "" % 1.76/1.17 --include_path "" % 1.76/1.17 --clausifier res/vclausify_rel % 1.76/1.17 --clausifier_options --mode tclausify -t 101.66 --show_fool true -updr off % 1.76/1.17 --stdin false % 1.76/1.17 --proof_out true % 1.76/1.17 --proof_dot_file "" % 1.76/1.17 --proof_reduce_dot [] % 1.76/1.17 --suppress_sat_res false % 1.76/1.17 --suppress_unsat_res true % 1.76/1.17 --stats_out none % 1.76/1.17 --stats_mem false % 1.76/1.17 --theory_stats_out false % 1.76/1.17 % 1.76/1.17 ------ General Options % 1.76/1.17 % 1.76/1.17 --fof false % 1.76/1.17 --time_out_real 304.99 % 1.76/1.17 --time_out_virtual -1. % 1.76/1.17 --rnd_seed 13 % 1.76/1.17 --symbol_type_check false % 1.76/1.17 --clausify_out false % 1.76/1.17 --sig_cnt_out false % 1.76/1.17 --trig_cnt_out false % 1.76/1.17 --trig_cnt_out_tolerance 1. % 1.76/1.17 --trig_cnt_out_sk_spl false % 1.76/1.17 --abstr_cl_out false % 1.76/1.17 % 1.76/1.17 ------ Interactive Mode % 1.76/1.17 % 1.76/1.17 --interactive_mode false % 1.76/1.17 --external_ip_address "" % 1.76/1.17 --external_port 0 % 1.76/1.17 % 1.76/1.17 ------ Global Options % 1.76/1.17 % 1.76/1.17 --schedule none % 1.76/1.17 --add_important_lit false % 1.76/1.17 --prop_solver_per_cl 500 % 1.76/1.17 --subs_bck_mult 8 % 1.76/1.17 --min_unsat_core false % 1.76/1.17 --soft_assumptions false % 1.76/1.17 --soft_lemma_size 3 % 1.76/1.17 --prop_impl_unit_size 0 % 1.76/1.17 --prop_impl_unit [] % 1.76/1.17 --share_sel_clauses true % 1.76/1.17 --reset_solvers false % 1.76/1.17 --bc_imp_inh [conj_cone] % 1.76/1.17 --conj_cone_tolerance 3. % 1.76/1.17 --extra_neg_conj none % 1.76/1.17 --large_theory_mode true % 1.76/1.17 --prolific_symb_bound 200 % 1.76/1.17 --lt_threshold 2000 % 1.76/1.17 --clause_weak_htbl true % 1.76/1.17 --gc_record_bc_elim false % 1.76/1.17 % 1.76/1.17 ------ Preprocessing Options % 1.76/1.17 % 1.76/1.17 --preprocessing_flag false % 1.76/1.17 --time_out_prep_mult 0.1 % 1.76/1.17 --splitting_mode input % 1.76/1.17 --splitting_grd true % 1.76/1.17 --splitting_cvd false % 1.76/1.17 --splitting_cvd_svl false % 1.76/1.17 --splitting_nvd 32 % 1.76/1.17 --sub_typing false % 1.76/1.17 --prep_eq_flat_conj false % 1.76/1.17 --prep_ineq_split false % 1.76/1.17 --prep_eq_flat_all_gr false % 1.76/1.17 --prep_gs_sim true % 1.76/1.17 --prep_unflatten true % 1.76/1.17 --prep_res_sim true % 1.76/1.17 --prep_sup_sim_all true % 1.76/1.17 --prep_sup_sim_sup false % 1.76/1.17 --prep_upred true % 1.76/1.17 --prep_well_definedness true % 1.76/1.17 --prep_sem_filter exhaustive % 1.76/1.17 --prep_sem_filter_out false % 1.76/1.17 --pred_elim true % 1.76/1.17 --res_sim_input true % 1.76/1.17 --eq_ax_congr_red true % 1.76/1.17 --pure_diseq_elim true % 1.76/1.17 --brand_transform false % 1.76/1.17 --non_eq_to_eq false % 1.76/1.17 --prep_eq_proxy false % 1.76/1.17 --prep_def_merge true % 1.76/1.17 --prep_def_merge_prop_impl false % 1.76/1.17 --prep_def_merge_mbd true % 1.76/1.17 --prep_def_merge_tr_red false % 1.76/1.17 --prep_def_merge_tr_cl false % 1.76/1.17 --smt_preprocessing false % 1.76/1.17 --smt_ac_axioms fast % 1.76/1.17 --preprocessed_out false % 1.76/1.17 --preprocessed_stats false % 1.76/1.17 % 1.76/1.17 ------ Abstraction refinement Options % 1.76/1.17 % 1.76/1.17 --abstr_ref [] % 1.76/1.17 --abstr_ref_prep false % 1.76/1.17 --abstr_ref_until_sat false % 1.76/1.17 --abstr_ref_sig_restrict funpre % 1.76/1.17 --abstr_ref_af_restrict_to_split_sk false % 1.76/1.17 --abstr_ref_under [] % 1.76/1.17 % 1.76/1.17 ------ SAT Options % 1.76/1.17 % 1.76/1.17 --sat_mode true % 1.76/1.17 --sat_fm_restart_options "" % 1.76/1.17 --sat_gr_def false % 1.76/1.17 --sat_epr_types true % 1.76/1.17 --sat_non_cyclic_types false % 1.76/1.17 --sat_finite_models true % 1.76/1.17 --sat_fm_lemmas false % 1.76/1.17 --sat_fm_prep false % 1.76/1.17 --sat_fm_uc_incr true % 1.76/1.17 --sat_out_model pos % 1.76/1.17 --sat_out_clauses false % 1.76/1.17 % 1.76/1.17 ------ QBF Options % 1.76/1.17 % 1.76/1.17 --qbf_mode false % 1.76/1.17 --qbf_elim_univ false % 1.76/1.17 --qbf_dom_inst none % 1.76/1.17 --qbf_dom_pre_inst false % 1.76/1.17 --qbf_sk_in false % 1.76/1.17 --qbf_pred_elim true % 1.76/1.17 --qbf_split 512 % 1.76/1.17 % 1.76/1.17 ------ BMC1 Options % 1.76/1.17 % 1.76/1.17 --bmc1_incremental false % 1.76/1.17 --bmc1_axioms reachable_all % 1.76/1.17 --bmc1_min_bound 0 % 1.76/1.17 --bmc1_max_bound -1 % 1.76/1.17 --bmc1_max_bound_default -1 % 1.76/1.17 --bmc1_symbol_reachability true % 1.76/1.17 --bmc1_property_lemmas false % 1.76/1.17 --bmc1_k_induction false % 1.76/1.17 --bmc1_non_equiv_states false % 1.76/1.17 --bmc1_deadlock false % 1.76/1.17 --bmc1_ucm false % 1.76/1.17 --bmc1_add_unsat_core none % 1.76/1.17 --bmc1_unsat_core_children false % 1.76/1.17 --bmc1_unsat_core_extrapolate_axioms false % 1.76/1.17 --bmc1_out_stat full % 1.76/1.17 --bmc1_ground_init false % 1.76/1.17 --bmc1_pre_inst_next_state false % 1.76/1.17 --bmc1_pre_inst_state false % 1.76/1.17 --bmc1_pre_inst_reach_state false % 1.76/1.17 --bmc1_out_unsat_core false % 1.76/1.17 --bmc1_aig_witness_out false % 1.76/1.17 --bmc1_verbose false % 1.76/1.17 --bmc1_dump_clauses_tptp false % 1.76/1.17 --bmc1_dump_unsat_core_tptp false % 1.76/1.17 --bmc1_dump_file - % 1.76/1.17 --bmc1_ucm_expand_uc_limit 128 % 1.76/1.17 --bmc1_ucm_n_expand_iterations 6 % 1.76/1.17 --bmc1_ucm_extend_mode 1 % 1.76/1.17 --bmc1_ucm_init_mode 2 % 1.76/1.17 --bmc1_ucm_cone_mode none % 1.76/1.17 --bmc1_ucm_reduced_relation_type 0 % 1.76/1.17 --bmc1_ucm_relax_model 4 % 1.76/1.17 --bmc1_ucm_full_tr_after_sat true % 1.76/1.17 --bmc1_ucm_expand_neg_assumptions false % 1.76/1.17 --bmc1_ucm_layered_model none % 1.76/1.17 --bmc1_ucm_max_lemma_size 10 % 1.76/1.17 % 1.76/1.17 ------ AIG Options % 1.76/1.17 % 1.76/1.17 --aig_mode false % 1.76/1.17 % 1.76/1.17 ------ Instantiation Options % 1.76/1.17 % 1.76/1.17 --instantiation_flag true % 1.76/1.17 --inst_sos_flag false % 1.76/1.17 --inst_sos_phase true % 1.76/1.17 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb] % 1.76/1.17 --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb] % 1.76/1.17 --inst_lit_sel_side num_symb % 1.76/1.17 --inst_solver_per_active 1400 % 1.76/1.17 --inst_solver_calls_frac 1. % 1.76/1.17 --inst_to_smt_solver true % 1.76/1.17 --inst_passive_queue_type priority_queues % 1.76/1.17 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]] % 1.76/1.17 --inst_passive_queues_freq [25;2] % 1.76/1.17 --inst_dismatching true % 1.76/1.17 --inst_eager_unprocessed_to_passive true % 1.76/1.17 --inst_unprocessed_bound 1000 % 1.76/1.17 --inst_prop_sim_given true % 1.76/1.17 --inst_prop_sim_new false % 1.76/1.17 --inst_subs_new false % 1.76/1.17 --inst_eq_res_simp false % 1.76/1.17 --inst_subs_given false % 1.76/1.17 --inst_orphan_elimination true % 1.76/1.17 --inst_learning_loop_flag true % 1.76/1.17 --inst_learning_start 3000 % 1.76/1.17 --inst_learning_factor 2 % 1.76/1.17 --inst_start_prop_sim_after_learn 3 % 1.76/1.17 --inst_sel_renew solver % 1.76/1.17 --inst_lit_activity_flag true % 1.76/1.17 --inst_restr_to_given false % 1.76/1.17 --inst_activity_threshold 500 % 1.76/1.17 % 1.76/1.17 ------ Resolution Options % 1.76/1.17 % 1.76/1.17 --resolution_flag false % 1.76/1.17 --res_lit_sel adaptive % 1.76/1.17 --res_lit_sel_side none % 1.76/1.17 --res_ordering kbo % 1.76/1.17 --res_to_prop_solver active % 1.76/1.17 --res_prop_simpl_new false % 1.76/1.17 --res_prop_simpl_given true % 1.76/1.17 --res_to_smt_solver true % 1.76/1.17 --res_passive_queue_type priority_queues % 1.76/1.17 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]] % 1.76/1.17 --res_passive_queues_freq [15;5] % 1.76/1.17 --res_forward_subs full % 1.76/1.17 --res_backward_subs full % 1.76/1.17 --res_forward_subs_resolution true % 1.76/1.17 --res_backward_subs_resolution true % 1.76/1.17 --res_orphan_elimination true % 1.76/1.17 --res_time_limit 300. % 1.76/1.17 % 1.76/1.17 ------ Superposition Options % 1.76/1.17 % 1.76/1.17 --superposition_flag false % 1.76/1.17 --sup_passive_queue_type priority_queues % 1.76/1.17 --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]] % 1.76/1.17 --sup_passive_queues_freq [8;1;4;4] % 1.76/1.17 --twee_lhs_weight 4 % 1.76/1.17 --sup_set_join false % 1.76/1.17 --sup_set_join_goals true % 1.76/1.17 --sup_set_join_limit 1000 % 1.76/1.17 --demod_completeness_check fast % 1.76/1.17 --demod_use_ground true % 1.76/1.17 --sup_unprocessed_bound 0 % 1.76/1.17 --sup_to_prop_solver passive % 1.76/1.17 --sup_prop_simpl_new true % 1.76/1.17 --sup_prop_simpl_given true % 1.76/1.17 --sup_fun_splitting false % 1.76/1.17 --sup_iter_deepening 2 % 1.76/1.18 --sup_restarts_mult 12 % 1.76/1.18 --sup_score sim_d_gen % 1.76/1.18 --sup_share_score_frac 0.2 % 1.76/1.18 --sup_share_max_num_cl 500 % 1.76/1.18 --sup_ordering kbo % 1.76/1.18 --sup_symb_ordering invfreq % 1.76/1.18 --sup_term_weight default % 1.76/1.18 % 1.76/1.18 ------ Superposition Simplification Setup % 1.76/1.18 % 1.76/1.18 --sup_indices_passive [LightNormIndex;FwDemodIndex] % 1.76/1.18 --sup_full_triv [SMTSimplify;PropSubs] % 1.76/1.18 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] % 1.76/1.18 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] % 1.76/1.18 --sup_immed_triv [] % 1.76/1.18 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes] % 1.76/1.18 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes] % 1.76/1.18 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod] % 1.76/1.18 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] % 1.76/1.18 --sup_input_triv [Unflattening;SMTSimplify] % 1.76/1.18 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] % 1.76/1.18 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] % 1.76/1.18 --sup_full_fixpoint true % 1.76/1.18 --sup_main_fixpoint true % 1.76/1.18 --sup_immed_fixpoint false % 1.76/1.18 --sup_input_fixpoint true % 1.76/1.18 --sup_cache_sim none % 1.76/1.18 --sup_smt_interval 500 % 1.76/1.18 --sup_bw_gjoin_interval 0 % 1.76/1.18 % 1.76/1.18 ------ Combination Options % 1.76/1.18 % 1.76/1.18 --comb_mode clause_based % 1.76/1.18 --comb_inst_mult 5 % 1.76/1.18 --comb_res_mult 1 % 1.76/1.18 --comb_sup_mult 8 % 1.76/1.18 --comb_sup_deep_mult 2 % 1.76/1.18 % 1.76/1.18 ------ Debug Options % 1.76/1.18 % 1.76/1.18 --dbg_backtrace false % 1.76/1.18 --dbg_dump_prop_clauses false % 1.76/1.18 --dbg_dump_prop_clauses_file - % 1.76/1.18 --dbg_out_stat false % 1.76/1.18 --dbg_just_parse false % 1.76/1.18 % 1.76/1.18 % 1.76/1.18 % 1.76/1.18 % 1.76/1.18 ------ Proving... % 1.76/1.18 % 1.76/1.18 % 1.76/1.18 % SZS status Satisfiable for theBenchmark.p % 1.76/1.18 % 1.76/1.18 ------ Building Model...Done % 1.76/1.18 % 1.76/1.18 %------ The model is defined over ground terms (initial term algebra). % 1.76/1.18 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) % 1.76/1.18 %------ where \phi is a formula over the term algebra. % 1.76/1.18 %------ If we have equality in the problem then it is also defined as a predicate above, % 1.76/1.18 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type % 1.76/1.18 %------ See help for --sat_out_model for different model outputs. % 1.76/1.18 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "=" % 1.76/1.18 %------ where the first argument stands for the sort ($i in the unsorted case) % 1.76/1.18 % SZS output start Model for theBenchmark.p % 1.76/1.18 % 1.76/1.18 %------ Positive definition of equality_sorted % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_tType,X0_'Nat_nat_fun_nat_nat_fun_fun',X1_'Nat_nat_fun_nat_nat_fun_fun'] : % 1.76/1.18 ( equality_sorted(X0_tType,X0_'Nat_nat_fun_nat_nat_fun_fun',X1_'Nat_nat_fun_nat_nat_fun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='C_ell2_c_ell2_cblinfun_set$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='Nat_set$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='Nat_nat_fun$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='A_ell2_a_ell2_cblinfun_set$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_set_fun$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='Nat_nat_fun_nat_nat_fun_fun$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='B_ell2_b_ell2_cblinfun$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='C_ell2_c_ell2_cblinfun$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='C_ell2_c_ell2_cblinfun$' & X1_'C_ell2_c_ell2_cblinfun'=X0_'C_ell2_c_ell2_cblinfun' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='B_ell2_b_ell2_cblinfun_set$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='A_ell2_a_ell2_cblinfun$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='B_a_prod_ell2_b_a_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='Nat$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_set_fun$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 | % 1.76/1.18 ( % 1.76/1.18 ( X0_tType='B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'register$k' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'register$k'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'register$j' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'register$j'(X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'clinear$g' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'clinear$g'(X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'fun_app$q' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_ell2_a_ell2_cblinfun_bool_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 1.76/1.18 ( 'fun_app$q'(X0_'A_ell2_a_ell2_cblinfun_bool_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'inj_on$' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set'] : % 1.76/1.18 ( 'inj_on$'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'register$n' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'register$n'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'inj_on$d' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_set'] : % 1.76/1.18 ( 'inj_on$d'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_set') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'member$a' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set'] : % 1.76/1.18 ( 'member$a'(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'iso_register$h' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'iso_register$h'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'clinear$b' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'clinear$b'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'iso_register$d' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'iso_register$d'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.18 $false % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'iso_register$' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'iso_register$'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'inj_on$a' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set'] : % 1.76/1.18 ( 'inj_on$a'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'inj_on$m' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_set'] : % 1.76/1.18 ( 'inj_on$m'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_set') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'inj_on$j' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_set'] : % 1.76/1.18 ( 'inj_on$j'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_set') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_set'='top$g' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'member$b' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_set'] : % 1.76/1.18 ( 'member$b'(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_set') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'register$q' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'register$q'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'inj_on$e' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set'] : % 1.76/1.18 ( 'inj_on$e'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'iso_register$f' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'iso_register$f'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'clinear$d' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'clinear$d'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'iso_register$c' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'iso_register$c'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.18 $false % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'iso_register$e' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'iso_register$e'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'register$b' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'register$b'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'clinear$a' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'clinear$a'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'register$p' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'register$p'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'inj_on$b' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set'] : % 1.76/1.18 ( 'inj_on$b'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'iso_register$b' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'iso_register$b'(X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.18 $false % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'register$r' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'register$r'(X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'register$h' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'register$h'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.18 $false % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'iso_register$a' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'iso_register$a'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.18 $false % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'register$c' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'register$c'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'inj_on$k' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_a_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_set'] : % 1.76/1.18 ( 'inj_on$k'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_a_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_set') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_set'='top$h' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'register$' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'register$'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'register$l' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'register$l'(X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'clinear$c' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'clinear$c'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'register$m' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'register$m'(X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'inj_on$h' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'Nat_nat_fun_nat_nat_fun_fun',X0_'Nat_nat_fun_set'] : % 1.76/1.18 ( 'inj_on$h'(X0_'Nat_nat_fun_nat_nat_fun_fun',X0_'Nat_nat_fun_set') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'Nat_nat_fun_set'='top$f' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'iso_register$g' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'iso_register$g'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'register$d' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'register$d'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'clinear$' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'clinear$'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'member$' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_set'] : % 1.76/1.18 ( 'member$'(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_set') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'inj_on$c' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set'] : % 1.76/1.18 ( 'inj_on$c'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'inj_on$f' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set'] : % 1.76/1.18 ( 'inj_on$f'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'register$o' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'register$o'(X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'fun_app$r' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_ell2_b_ell2_cblinfun_bool_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 1.76/1.18 ( 'fun_app$r'(X0_'B_ell2_b_ell2_cblinfun_bool_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'register$g' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'register$g'(X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.18 $false % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'inj_on$g' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'Nat_nat_fun',X0_'Nat_set'] : % 1.76/1.18 ( 'inj_on$g'(X0_'Nat_nat_fun',X0_'Nat_set') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'inj_on$i' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_set'] : % 1.76/1.18 ( 'inj_on$i'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_set') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_set'='top$g' ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'register$i' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'register$i'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'clinear$h' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'clinear$h'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'register$a' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'register$a'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'inj_on$l' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_set'] : % 1.76/1.18 ( 'inj_on$l'(X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_set') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'clinear$e' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'clinear$e'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'fun_app$' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'C_ell2_c_ell2_cblinfun_bool_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 1.76/1.18 ( 'fun_app$'(X0_'C_ell2_c_ell2_cblinfun_bool_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of 'register$e' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.18 ( 'register$e'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.18 $true % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'top$i' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'C_ell2_c_ell2_cblinfun_bool_fun'] : % 1.76/1.18 ( iProver_Flat_'top$i'(X0_'C_ell2_c_ell2_cblinfun_bool_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'C_ell2_c_ell2_cblinfun_bool_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_bool_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'register_tensor$v' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'register_tensor$v'(X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun'=iProver_Domain_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'image$b' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'C_ell2_c_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_set'] : % 1.76/1.18 ( iProver_Flat_'image$b'(X0_'C_ell2_c_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_set') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'C_ell2_c_ell2_cblinfun_set'=iProver_Domain_'C_ell2_c_ell2_cblinfun_set'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'inv_into$n' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun',X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_set',X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'inv_into$n'(X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun',X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_set',X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'comp$af' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'comp$af'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'inv_into$d' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'Nat_nat_fun',X0_'Nat_set',X1_'Nat_nat_fun'] : % 1.76/1.18 ( iProver_Flat_'inv_into$d'(X0_'Nat_nat_fun',X0_'Nat_set',X1_'Nat_nat_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'Nat_nat_fun'=iProver_Domain_'Nat_nat_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'image$' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'C_ell2_c_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set'] : % 1.76/1.18 ( iProver_Flat_'image$'(X0_'C_ell2_c_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'C_ell2_c_ell2_cblinfun_set'=iProver_Domain_'C_ell2_c_ell2_cblinfun_set'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'register_tensor$f' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'register_tensor$f'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'inv_into$' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'inv_into$'(X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'fun_app$o' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_set_fun',X1_'A_ell2_a_ell2_cblinfun_set'] : % 1.76/1.18 ( iProver_Flat_'fun_app$o'(X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_set_fun',X1_'A_ell2_a_ell2_cblinfun_set') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'A_ell2_a_ell2_cblinfun_set'=iProver_Domain_'A_ell2_a_ell2_cblinfun_set'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'fun_app$k' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'Nat_nat_fun',X0_'Nat_nat_fun_nat_nat_fun_fun',X1_'Nat_nat_fun'] : % 1.76/1.18 ( iProver_Flat_'fun_app$k'(X0_'Nat_nat_fun',X0_'Nat_nat_fun_nat_nat_fun_fun',X1_'Nat_nat_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'Nat_nat_fun'=iProver_Domain_'Nat_nat_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'inv_into$b' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'inv_into$b'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'fun_app$b' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 1.76/1.18 ( iProver_Flat_'fun_app$b'(X0_'C_ell2_c_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'register_tensor$h' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'register_tensor$h'(X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'image$h' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_ell2_a_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_set'] : % 1.76/1.18 ( iProver_Flat_'image$h'(X0_'A_ell2_a_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_set') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'A_ell2_a_ell2_cblinfun_set'=iProver_Domain_'A_ell2_a_ell2_cblinfun_set'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'comp$h' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'comp$h'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'comp$p' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [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'] : % 1.76/1.18 ( iProver_Flat_'comp$p'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X2_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'inv_into$g' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [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'] : % 1.76/1.18 ( iProver_Flat_'inv_into$g'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X1_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'inv_into$f' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'inv_into$f'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'f$' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'f$'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'register_tensor$e' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'register_tensor$e'(X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'register_tensor$d' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'register_tensor$d'(X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun'=iProver_Domain_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'comp$e' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'comp$e'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'inv_into$e' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'inv_into$e'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'comp$ae' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun',X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun',X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'comp$ae'(X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun',X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun',X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun'=iProver_Domain_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'fun_app$l' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 1.76/1.18 ( iProver_Flat_'fun_app$l'(X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'fun_app$t' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set'] : % 1.76/1.18 ( iProver_Flat_'fun_app$t'(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'register_tensor$u' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [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'] : % 1.76/1.18 ( iProver_Flat_'register_tensor$u'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'image$a' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'C_ell2_c_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set'] : % 1.76/1.18 ( iProver_Flat_'image$a'(X0_'C_ell2_c_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'C_ell2_c_ell2_cblinfun_set'=iProver_Domain_'C_ell2_c_ell2_cblinfun_set'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'comp$j' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'comp$j'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'fun_app$h' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun'] : % 1.76/1.18 ( iProver_Flat_'fun_app$h'(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'register_tensor$m' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_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'] : % 1.76/1.18 ( iProver_Flat_'register_tensor$m'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'collect$' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'C_ell2_c_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_bool_fun'] : % 1.76/1.18 ( iProver_Flat_'collect$'(X0_'C_ell2_c_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_bool_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'C_ell2_c_ell2_cblinfun_set'=iProver_Domain_'C_ell2_c_ell2_cblinfun_set'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'register_tensor$b' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'register_tensor$b'(X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun'=iProver_Domain_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'id$a' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'id$a'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'register_tensor$a' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'register_tensor$a'(X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'id$g' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'id$g'(X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'comp$ai' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'comp$ai'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'comp$g' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [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'] : % 1.76/1.18 ( iProver_Flat_'comp$g'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'inv_into$r' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_set',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'inv_into$r'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_set',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'fun_app$f' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'fun_app$f'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'id$f' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'id$f'(X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'=iProver_Domain_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'register_tensor$i' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'register_tensor$i'(X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'comp$' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'comp$'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'id$j' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'id$j'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'comp$ag' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'comp$ag'(X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'=iProver_Domain_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'image$g' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'Nat_set',X0_'Nat_nat_fun',X1_'Nat_set'] : % 1.76/1.18 ( iProver_Flat_'image$g'(X0_'Nat_set',X0_'Nat_nat_fun',X1_'Nat_set') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'Nat_set'=iProver_Domain_'Nat_set'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'comp$ad' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun',X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun',X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'comp$ad'(X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun',X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun',X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'comp$n' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'comp$n'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'collect$a' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_bool_fun'] : % 1.76/1.18 ( iProver_Flat_'collect$a'(X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_bool_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'A_ell2_a_ell2_cblinfun_set'=iProver_Domain_'A_ell2_a_ell2_cblinfun_set'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'comp$q' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'comp$q'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'inv_into$m' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_set',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'inv_into$m'(X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_set',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'register_tensor$s' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'register_tensor$s'(X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'=iProver_Domain_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'id$c' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_set_fun'] : % 1.76/1.18 ( iProver_Flat_'id$c'(X0_'A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_set_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_set_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_set_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'commutant$a' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_ell2_a_ell2_cblinfun_set',X1_'A_ell2_a_ell2_cblinfun_set'] : % 1.76/1.18 ( iProver_Flat_'commutant$a'(X0_'A_ell2_a_ell2_cblinfun_set',X1_'A_ell2_a_ell2_cblinfun_set') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'A_ell2_a_ell2_cblinfun_set'=iProver_Domain_'A_ell2_a_ell2_cblinfun_set'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'comp$s' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [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'] : % 1.76/1.18 ( iProver_Flat_'comp$s'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'register_tensor$l' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'register_tensor$l'(X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'=iProver_Domain_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'top$a' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_ell2_b_ell2_cblinfun_set'] : % 1.76/1.18 ( iProver_Flat_'top$a'(X0_'B_ell2_b_ell2_cblinfun_set') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'B_ell2_b_ell2_cblinfun_set'=iProver_Domain_'B_ell2_b_ell2_cblinfun_set'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'commutant$' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'C_ell2_c_ell2_cblinfun_set',X1_'C_ell2_c_ell2_cblinfun_set'] : % 1.76/1.18 ( iProver_Flat_'commutant$'(X0_'C_ell2_c_ell2_cblinfun_set',X1_'C_ell2_c_ell2_cblinfun_set') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'C_ell2_c_ell2_cblinfun_set'=iProver_Domain_'C_ell2_c_ell2_cblinfun_set'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'id$e' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'id$e'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'fun_app$e' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun'] : % 1.76/1.18 ( iProver_Flat_'fun_app$e'(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'comp$r' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'comp$r'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'image$c' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_set_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'image$c'(X0_'A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_set_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_set_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_set_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'i$' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'i$'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'fun_app$i' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_a_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'fun_app$i'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_a_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'inv_into$k' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun',X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_set',X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'inv_into$k'(X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun',X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_set',X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'comp$a' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'comp$a'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'fun_app$s' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set'] : % 1.76/1.18 ( iProver_Flat_'fun_app$s'(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'fun_app$c' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 1.76/1.18 ( iProver_Flat_'fun_app$c'(X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'comp$aa' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'comp$aa'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'comp$w' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [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'] : % 1.76/1.18 ( iProver_Flat_'comp$w'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'register_tensor$w' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'register_tensor$w'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'fun_app$j' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'Nat',X0_'Nat_nat_fun',X1_'Nat'] : % 1.76/1.18 ( iProver_Flat_'fun_app$j'(X0_'Nat',X0_'Nat_nat_fun',X1_'Nat') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'id$i' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'Nat_nat_fun_nat_nat_fun_fun'] : % 1.76/1.18 ( iProver_Flat_'id$i'(X0_'Nat_nat_fun_nat_nat_fun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'Nat_nat_fun_nat_nat_fun_fun'=iProver_Domain_'Nat_nat_fun_nat_nat_fun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'id_cblinfun$' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_ell2_b_ell2_cblinfun'] : % 1.76/1.18 ( iProver_Flat_'id_cblinfun$'(X0_'B_ell2_b_ell2_cblinfun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'inv_into$l' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_set',X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'inv_into$l'(X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_set',X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'register_tensor$' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'register_tensor$'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'top$b' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'C_ell2_c_ell2_cblinfun_set'] : % 1.76/1.18 ( iProver_Flat_'top$b'(X0_'C_ell2_c_ell2_cblinfun_set') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'C_ell2_c_ell2_cblinfun_set'=iProver_Domain_'C_ell2_c_ell2_cblinfun_set'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'inv_into$j' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_set',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'inv_into$j'(X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_set',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'g$' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'g$'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'register_tensor$t' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.18 ( iProver_Flat_'register_tensor$t'(X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'image$i' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_ell2_b_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_set'] : % 1.76/1.18 ( iProver_Flat_'image$i'(X0_'B_ell2_b_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_set') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'B_ell2_b_ell2_cblinfun_set'=iProver_Domain_'B_ell2_b_ell2_cblinfun_set'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'collect$b' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_bool_fun'] : % 1.76/1.18 ( iProver_Flat_'collect$b'(X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_bool_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'B_ell2_b_ell2_cblinfun_set'=iProver_Domain_'B_ell2_b_ell2_cblinfun_set'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'comp$o' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [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'] : % 1.76/1.18 ( iProver_Flat_'comp$o'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'register_tensor$q' % 1.76/1.18 fof(lit_def,axiom, % 1.76/1.18 (! [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'] : % 1.76/1.18 ( iProver_Flat_'register_tensor$q'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.18 ( % 1.76/1.18 ( % 1.76/1.18 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.18 ) % 1.76/1.18 % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ) % 1.76/1.18 ). % 1.76/1.18 % 1.76/1.18 %------ Positive definition of iProver_Flat_'comp$aj' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_'comp$aj'(X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'=iProver_Domain_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'inv_into$i' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_set',X1_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_'inv_into$i'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_set',X1_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'commutant$b' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun_set',X1_'B_ell2_b_ell2_cblinfun_set'] : % 1.76/1.19 ( iProver_Flat_'commutant$b'(X0_'B_ell2_b_ell2_cblinfun_set',X1_'B_ell2_b_ell2_cblinfun_set') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun_set'=iProver_Domain_'B_ell2_b_ell2_cblinfun_set'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'inv_into$q' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_set',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_'inv_into$q'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_set',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'comp$i' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_'comp$i'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'image$f' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set'] : % 1.76/1.19 ( iProver_Flat_'image$f'(X0_'B_ell2_b_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun_set'=iProver_Domain_'B_ell2_b_ell2_cblinfun_set'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'fun_app$p' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_set_fun',X1_'B_ell2_b_ell2_cblinfun_set'] : % 1.76/1.19 ( iProver_Flat_'fun_app$p'(X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_set_fun',X1_'B_ell2_b_ell2_cblinfun_set') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun_set'=iProver_Domain_'B_ell2_b_ell2_cblinfun_set'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'comp$v' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_'comp$v'(X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'inv_into$o' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_set',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_'inv_into$o'(X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_set',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'fun_app$m' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun'] : % 1.76/1.19 ( iProver_Flat_'fun_app$m'(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'register_tensor$z' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_'register_tensor$z'(X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'id$b' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_set_fun'] : % 1.76/1.19 ( iProver_Flat_'id$b'(X0_'B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_set_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_set_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_set_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'comp$ac' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_'comp$ac'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'register_tensor$k' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [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'] : % 1.76/1.19 ( iProver_Flat_'register_tensor$k'(X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'inv_into$c' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [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'] : % 1.76/1.19 ( iProver_Flat_'inv_into$c'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'comp$ab' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun',X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun',X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_'comp$ab'(X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun',X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun',X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun'=iProver_Domain_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'register_tensor$ab' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_'register_tensor$ab'(X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'=iProver_Domain_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'comp$l' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [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'] : % 1.76/1.19 ( iProver_Flat_'comp$l'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X2_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'comp$m' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [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'] : % 1.76/1.19 ( iProver_Flat_'comp$m'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'uu$' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'C_ell2_c_ell2_cblinfun_bool_fun',X0_'C_ell2_c_ell2_cblinfun_set'] : % 1.76/1.19 ( iProver_Flat_'uu$'(X0_'C_ell2_c_ell2_cblinfun_bool_fun',X0_'C_ell2_c_ell2_cblinfun_set') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'C_ell2_c_ell2_cblinfun_bool_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_bool_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'register_tensor$j' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_'register_tensor$j'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'fun_app$d' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 1.76/1.19 ( iProver_Flat_'fun_app$d'(X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'j$' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_'j$'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'register_tensor$o' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [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'] : % 1.76/1.19 ( iProver_Flat_'register_tensor$o'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'fun_app$g' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 1.76/1.19 ( iProver_Flat_'fun_app$g'(X0_'B_ell2_b_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'register_tensor$c' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_'register_tensor$c'(X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'register_tensor$y' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_'register_tensor$y'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'id_cblinfun$a' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun'] : % 1.76/1.19 ( iProver_Flat_'id_cblinfun$a'(X0_'A_ell2_a_ell2_cblinfun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'register_tensor$ad' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_a_prod_ell2_a_a_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_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_'register_tensor$ad'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'register_tensor$ac' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_'register_tensor$ac'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'id$d' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'Nat_nat_fun'] : % 1.76/1.19 ( iProver_Flat_'id$d'(X0_'Nat_nat_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'Nat_nat_fun'=iProver_Domain_'Nat_nat_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'register_tensor$r' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_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'] : % 1.76/1.19 ( iProver_Flat_'register_tensor$r'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'fun_app$u' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'Nat',X0_'Nat_set_nat_fun',X0_'Nat_set'] : % 1.76/1.19 ( iProver_Flat_'fun_app$u'(X0_'Nat',X0_'Nat_set_nat_fun',X0_'Nat_set') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'comp$b' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_a_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_'comp$b'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_a_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_a_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_a_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'register_tensor$ae' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_b_prod_ell2_a_b_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_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_'register_tensor$ae'(X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'=iProver_Domain_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'image$e' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set'] : % 1.76/1.19 ( iProver_Flat_'image$e'(X0_'A_ell2_a_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun_set'=iProver_Domain_'A_ell2_a_ell2_cblinfun_set'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'top$e' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'Nat_set'] : % 1.76/1.19 ( iProver_Flat_'top$e'(X0_'Nat_set') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'Nat_set'=iProver_Domain_'Nat_set'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'fun_app$v' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_set_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_set'] : % 1.76/1.19 ( iProver_Flat_'fun_app$v'(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_set_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_set') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'comp$y' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'C_ell2_c_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_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_'comp$y'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'comp$d' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_'comp$d'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'comp$x' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [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'] : % 1.76/1.19 ( iProver_Flat_'comp$x'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'comp$u' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_'comp$u'(X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'inv_into$h' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [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'] : % 1.76/1.19 ( iProver_Flat_'inv_into$h'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set',X1_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'fun_app$a' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_'fun_app$a'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'register_tensor$p' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_'register_tensor$p'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'comp$t' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_'comp$t'(X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'comp$k' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_'comp$k'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'inv_into$p' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_set',X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_'inv_into$p'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_set',X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'register_tensor$n' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_'register_tensor$n'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'register_tensor$g' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [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'] : % 1.76/1.19 ( iProver_Flat_'register_tensor$g'(X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'comp$z' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [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'] : % 1.76/1.19 ( iProver_Flat_'comp$z'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'comp$ah' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_'comp$ah'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'id$' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_'id$'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'register_tensor$x' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_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'] : % 1.76/1.19 ( iProver_Flat_'register_tensor$x'(X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'fun_app$n' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 1.76/1.19 ( iProver_Flat_'fun_app$n'(X0_'B_ell2_b_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'top$' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun_set'] : % 1.76/1.19 ( iProver_Flat_'top$'(X0_'A_ell2_a_ell2_cblinfun_set') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun_set'=iProver_Domain_'A_ell2_a_ell2_cblinfun_set'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'comp$c' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'Nat_nat_fun_nat_nat_fun_fun',X0_'Nat_nat_fun'] : % 1.76/1.19 ( iProver_Flat_'comp$c'(X0_'Nat_nat_fun_nat_nat_fun_fun',X0_'Nat_nat_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'Nat_nat_fun_nat_nat_fun_fun'=iProver_Domain_'Nat_nat_fun_nat_nat_fun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'register_tensor$aa' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_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'] : % 1.76/1.19 ( iProver_Flat_'register_tensor$aa'(X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun'=iProver_Domain_'B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'id$h' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_'id$h'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'comp$f' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [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'] : % 1.76/1.19 ( iProver_Flat_'comp$f'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'inv_into$a' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_'inv_into$a'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_'image$d' % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_set_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_'image$d'(X0_'B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_set_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_set_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_set_fun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK0 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK0(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK1 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK1(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK2 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK2(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK3 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK3(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK4 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set'] : % 1.76/1.19 ( iProver_Flat_sK4(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK5 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set'] : % 1.76/1.19 ( iProver_Flat_sK5(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK6 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set'] : % 1.76/1.19 ( iProver_Flat_sK6(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK7 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set'] : % 1.76/1.19 ( iProver_Flat_sK7(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK8 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK8(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK9 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK9(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK10 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK10(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK11 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK11(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK12 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK12(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK13 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK13(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK14 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK14(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK15 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK15(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK16 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_bool_fun'] : % 1.76/1.19 ( iProver_Flat_sK16(X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_bool_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK17 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_bool_fun'] : % 1.76/1.19 ( iProver_Flat_sK17(X0_'C_ell2_c_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_bool_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK18 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_bool_fun'] : % 1.76/1.19 ( iProver_Flat_sK18(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_bool_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK19 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK19(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK20 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK20(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK21 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_bool_fun'] : % 1.76/1.19 ( iProver_Flat_sK21(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_bool_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK22 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_bool_fun'] : % 1.76/1.19 ( iProver_Flat_sK22(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_bool_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK23 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_bool_fun'] : % 1.76/1.19 ( iProver_Flat_sK23(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_bool_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK24 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set'] : % 1.76/1.19 ( iProver_Flat_sK24(X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK25 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set'] : % 1.76/1.19 ( iProver_Flat_sK25(X0_'B_ell2_b_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK26 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'C_ell2_c_ell2_cblinfun',X1_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_set'] : % 1.76/1.19 ( iProver_Flat_sK26(X0_'C_ell2_c_ell2_cblinfun',X1_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_set') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK27 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun',X1_'A_ell2_a_ell2_cblinfun'] : % 1.76/1.19 ( iProver_Flat_sK27(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun',X1_'A_ell2_a_ell2_cblinfun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK28 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 1.76/1.19 ( iProver_Flat_sK28(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK29 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun',X1_'B_ell2_b_ell2_cblinfun'] : % 1.76/1.19 ( iProver_Flat_sK29(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun',X1_'B_ell2_b_ell2_cblinfun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK30 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 1.76/1.19 ( iProver_Flat_sK30(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK31 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK31(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK32 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK32(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK33 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK33(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK34 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK34(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK35 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK35(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK36 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK36(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK37 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK37(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK38 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK38(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK39 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK39(X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK40 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 1.76/1.19 ( iProver_Flat_sK40(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK41 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK41(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK42 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun'] : % 1.76/1.19 ( iProver_Flat_sK42(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK43 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK43(X0_'B_ell2_b_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK44 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 1.76/1.19 ( iProver_Flat_sK44(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK45 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK45(X0_'C_ell2_c_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK46 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 1.76/1.19 ( iProver_Flat_sK46(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK47 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK47(X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK48 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 1.76/1.19 ( iProver_Flat_sK48(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK49 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK49(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK50 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun'] : % 1.76/1.19 ( iProver_Flat_sK50(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK51 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK51(X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK52 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [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'] : % 1.76/1.19 ( iProver_Flat_sK52(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') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK53 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK53(X0_'B_ell2_b_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK54 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK54(X0_'C_ell2_c_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK55 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK55(X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK56 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK56(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK57 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 1.76/1.19 ( iProver_Flat_sK57(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK58 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun'] : % 1.76/1.19 ( iProver_Flat_sK58(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK59 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 1.76/1.19 ( iProver_Flat_sK59(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK60 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 1.76/1.19 ( iProver_Flat_sK60(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK61 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 1.76/1.19 ( iProver_Flat_sK61(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK62 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun'] : % 1.76/1.19 ( iProver_Flat_sK62(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK63 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 1.76/1.19 ( iProver_Flat_sK63(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK64 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun'] : % 1.76/1.19 ( iProver_Flat_sK64(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK65 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 1.76/1.19 ( iProver_Flat_sK65(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK66 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 1.76/1.19 ( iProver_Flat_sK66(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK67 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 1.76/1.19 ( iProver_Flat_sK67(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK68 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun'] : % 1.76/1.19 ( iProver_Flat_sK68(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK69 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'Nat',X0_'Nat_nat_fun',X1_'Nat_nat_fun',X2_'Nat_nat_fun',X3_'Nat_nat_fun'] : % 1.76/1.19 ( iProver_Flat_sK69(X0_'Nat',X0_'Nat_nat_fun',X1_'Nat_nat_fun',X2_'Nat_nat_fun',X3_'Nat_nat_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK70 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'Nat',X0_'Nat_nat_fun',X1_'Nat_nat_fun',X2_'Nat_nat_fun',X3_'Nat_nat_fun'] : % 1.76/1.19 ( iProver_Flat_sK70(X0_'Nat',X0_'Nat_nat_fun',X1_'Nat_nat_fun',X2_'Nat_nat_fun',X3_'Nat_nat_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK71 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',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_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK71(X0_'B_ell2_b_ell2_cblinfun',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_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK72 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',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_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK72(X0_'B_ell2_b_ell2_cblinfun',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_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK73 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK73(X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK74 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK74(X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK75 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_ell2_a_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'] : % 1.76/1.19 ( iProver_Flat_sK75(X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_ell2_a_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') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK76 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_ell2_a_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'] : % 1.76/1.19 ( iProver_Flat_sK76(X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_ell2_a_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') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK77 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'Nat',X0_'Nat_nat_fun',X1_'Nat_nat_fun',X2_'Nat_nat_fun'] : % 1.76/1.19 ( iProver_Flat_sK77(X0_'Nat',X0_'Nat_nat_fun',X1_'Nat_nat_fun',X2_'Nat_nat_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK78 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK78(X0_'B_ell2_b_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK79 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.19 ( iProver_Flat_sK79(X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.19 ) % 1.76/1.19 % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ) % 1.76/1.19 ). % 1.76/1.19 % 1.76/1.19 %------ Positive definition of iProver_Flat_sK80 % 1.76/1.19 fof(lit_def,axiom, % 1.76/1.19 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_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'] : % 1.76/1.19 ( iProver_Flat_sK80(X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_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') <=> % 1.76/1.19 ( % 1.76/1.19 ( % 1.76/1.19 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.20 ) % 1.76/1.20 % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ). % 1.76/1.20 % 1.76/1.20 %------ Positive definition of iProver_Flat_sK81 % 1.76/1.20 fof(lit_def,axiom, % 1.76/1.20 (! [X0_'Nat',X0_'Nat_nat_fun',X1_'Nat_nat_fun',X2_'Nat_nat_fun'] : % 1.76/1.20 ( iProver_Flat_sK81(X0_'Nat',X0_'Nat_nat_fun',X1_'Nat_nat_fun',X2_'Nat_nat_fun') <=> % 1.76/1.20 ( % 1.76/1.20 ( % 1.76/1.20 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 1.76/1.20 ) % 1.76/1.20 % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ). % 1.76/1.20 % 1.76/1.20 %------ Positive definition of iProver_Flat_sK82 % 1.76/1.20 fof(lit_def,axiom, % 1.76/1.20 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.20 ( iProver_Flat_sK82(X0_'B_ell2_b_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.20 ( % 1.76/1.20 ( % 1.76/1.20 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.20 ) % 1.76/1.20 % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ). % 1.76/1.20 % 1.76/1.20 %------ Positive definition of iProver_Flat_sK83 % 1.76/1.20 fof(lit_def,axiom, % 1.76/1.20 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.20 ( iProver_Flat_sK83(X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.20 ( % 1.76/1.20 ( % 1.76/1.20 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.20 ) % 1.76/1.20 % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ). % 1.76/1.20 % 1.76/1.20 %------ Positive definition of iProver_Flat_sK84 % 1.76/1.20 fof(lit_def,axiom, % 1.76/1.20 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_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'] : % 1.76/1.20 ( iProver_Flat_sK84(X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_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') <=> % 1.76/1.20 ( % 1.76/1.20 ( % 1.76/1.20 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.20 ) % 1.76/1.20 % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ). % 1.76/1.20 % 1.76/1.20 %------ Positive definition of iProver_Flat_sK85 % 1.76/1.20 fof(lit_def,axiom, % 1.76/1.20 (! [X0_'C_ell2_c_ell2_cblinfun'] : % 1.76/1.20 ( iProver_Flat_sK85(X0_'C_ell2_c_ell2_cblinfun') <=> % 1.76/1.20 ( % 1.76/1.20 ( % 1.76/1.20 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 1.76/1.20 ) % 1.76/1.20 % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ). % 1.76/1.20 % 1.76/1.20 %------ Positive definition of iProver_Flat_sK86 % 1.76/1.20 fof(lit_def,axiom, % 1.76/1.20 (! [X0_'A_ell2_a_ell2_cblinfun'] : % 1.76/1.20 ( iProver_Flat_sK86(X0_'A_ell2_a_ell2_cblinfun') <=> % 1.76/1.20 ( % 1.76/1.20 ( % 1.76/1.20 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.20 ) % 1.76/1.20 % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ). % 1.76/1.20 % 1.76/1.20 %------ Positive definition of iProver_Flat_sK87 % 1.76/1.20 fof(lit_def,axiom, % 1.76/1.20 (! [X0_'B_ell2_b_ell2_cblinfun'] : % 1.76/1.20 ( iProver_Flat_sK87(X0_'B_ell2_b_ell2_cblinfun') <=> % 1.76/1.20 ( % 1.76/1.20 ( % 1.76/1.20 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.20 ) % 1.76/1.20 % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ). % 1.76/1.20 % 1.76/1.20 %------ Positive definition of iProver_Flat_sK88 % 1.76/1.20 fof(lit_def,axiom, % 1.76/1.20 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_set'] : % 1.76/1.20 ( iProver_Flat_sK88(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_set') <=> % 1.76/1.20 ( % 1.76/1.20 ( % 1.76/1.20 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 1.76/1.20 ) % 1.76/1.20 % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ). % 1.76/1.20 % 1.76/1.20 %------ Positive definition of iProver_Flat_sK89 % 1.76/1.20 fof(lit_def,axiom, % 1.76/1.20 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set'] : % 1.76/1.20 ( iProver_Flat_sK89(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set') <=> % 1.76/1.20 ( % 1.76/1.20 ( % 1.76/1.20 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.20 ) % 1.76/1.20 % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ). % 1.76/1.20 % 1.76/1.20 %------ Positive definition of iProver_Flat_sK90 % 1.76/1.20 fof(lit_def,axiom, % 1.76/1.20 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_set'] : % 1.76/1.20 ( iProver_Flat_sK90(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_set') <=> % 1.76/1.20 ( % 1.76/1.20 ( % 1.76/1.20 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.20 ) % 1.76/1.20 % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ). % 1.76/1.20 % 1.76/1.20 %------ Positive definition of iProver_Flat_sK91 % 1.76/1.20 fof(lit_def,axiom, % 1.76/1.20 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_bool_fun'] : % 1.76/1.20 ( iProver_Flat_sK91(X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_bool_fun') <=> % 1.76/1.20 ( % 1.76/1.20 ( % 1.76/1.20 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 1.76/1.20 ) % 1.76/1.20 % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ). % 1.76/1.20 % 1.76/1.20 %------ Positive definition of iProver_Flat_sK92 % 1.76/1.20 fof(lit_def,axiom, % 1.76/1.20 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_bool_fun'] : % 1.76/1.20 ( iProver_Flat_sK92(X0_'C_ell2_c_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_bool_fun') <=> % 1.76/1.20 ( % 1.76/1.20 ( % 1.76/1.20 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 1.76/1.20 ) % 1.76/1.20 % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ). % 1.76/1.20 % 1.76/1.20 %------ Positive definition of iProver_Flat_sK93 % 1.76/1.20 fof(lit_def,axiom, % 1.76/1.20 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.20 ( iProver_Flat_sK93(X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.20 ( % 1.76/1.20 ( % 1.76/1.20 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.20 ) % 1.76/1.20 % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ). % 1.76/1.20 % 1.76/1.20 %------ Positive definition of iProver_Flat_sK94 % 1.76/1.20 fof(lit_def,axiom, % 1.76/1.20 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.20 ( iProver_Flat_sK94(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.20 ( % 1.76/1.20 ( % 1.76/1.20 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 1.76/1.20 ) % 1.76/1.20 % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ). % 1.76/1.20 % 1.76/1.20 %------ Positive definition of iProver_Flat_sK95 % 1.76/1.20 fof(lit_def,axiom, % 1.76/1.20 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.20 ( iProver_Flat_sK95(X0_'B_ell2_b_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.20 ( % 1.76/1.20 ( % 1.76/1.20 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.20 ) % 1.76/1.20 % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ). % 1.76/1.20 % 1.76/1.20 %------ Positive definition of iProver_Flat_sK96 % 1.76/1.20 fof(lit_def,axiom, % 1.76/1.20 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.20 ( iProver_Flat_sK96(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.20 ( % 1.76/1.20 ( % 1.76/1.20 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 1.76/1.20 ) % 1.76/1.20 % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ). % 1.76/1.20 % 1.76/1.20 %------ Positive definition of iProver_Flat_sK97 % 1.76/1.20 fof(lit_def,axiom, % 1.76/1.20 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.20 ( iProver_Flat_sK97(X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.20 ( % 1.76/1.20 ( % 1.76/1.20 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 1.76/1.20 ) % 1.76/1.20 % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ). % 1.76/1.20 % 1.76/1.20 %------ Positive definition of iProver_Flat_sK98 % 1.76/1.20 fof(lit_def,axiom, % 1.76/1.20 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.20 ( iProver_Flat_sK98(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.20 ( % 1.76/1.20 ( % 1.76/1.20 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.20 ) % 1.76/1.20 % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ). % 1.76/1.20 % 1.76/1.20 %------ Positive definition of iProver_Flat_sK99 % 1.76/1.20 fof(lit_def,axiom, % 1.76/1.20 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.20 ( iProver_Flat_sK99(X0_'B_ell2_b_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.20 ( % 1.76/1.20 ( % 1.76/1.20 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.20 ) % 1.76/1.20 % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ). % 1.76/1.20 % 1.76/1.20 %------ Positive definition of iProver_Flat_sK100 % 1.76/1.20 fof(lit_def,axiom, % 1.76/1.20 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 1.76/1.20 ( iProver_Flat_sK100(X0_'C_ell2_c_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 1.76/1.20 ( % 1.76/1.20 ( % 1.76/1.20 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 1.76/1.20 ) % 1.76/1.20 % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ). % 1.76/1.20 % 1.76/1.20 %------ Positive definition of iProver_Flat_sK101 % 1.76/1.20 fof(lit_def,axiom, % 1.76/1.20 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.20 ( iProver_Flat_sK101(X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.20 ( % 1.76/1.20 ( % 1.76/1.20 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.20 ) % 1.76/1.20 % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ). % 1.76/1.20 % 1.76/1.20 %------ Positive definition of iProver_Flat_sK102 % 1.76/1.20 fof(lit_def,axiom, % 1.76/1.20 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.20 ( iProver_Flat_sK102(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.20 ( % 1.76/1.20 ( % 1.76/1.20 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.20 ) % 1.76/1.20 % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ). % 1.76/1.20 % 1.76/1.20 %------ Positive definition of iProver_Flat_sK103 % 1.76/1.20 fof(lit_def,axiom, % 1.76/1.20 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.20 ( iProver_Flat_sK103(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.20 ( % 1.76/1.20 ( % 1.76/1.20 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.20 ) % 1.76/1.20 % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ). % 1.76/1.20 % 1.76/1.20 %------ Positive definition of iProver_Flat_sK104 % 1.76/1.20 fof(lit_def,axiom, % 1.76/1.20 (! [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'] : % 1.76/1.20 ( iProver_Flat_sK104(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') <=> % 1.76/1.20 ( % 1.76/1.20 ( % 1.76/1.20 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.20 ) % 1.76/1.20 % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ). % 1.76/1.20 % 1.76/1.20 %------ Positive definition of iProver_Flat_sK105 % 1.76/1.20 fof(lit_def,axiom, % 1.76/1.20 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 1.76/1.20 ( iProver_Flat_sK105(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 1.76/1.20 ( % 1.76/1.20 ( % 1.76/1.20 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 1.76/1.20 ) % 1.76/1.20 % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ). % 1.76/1.20 % 1.76/1.20 %------ Positive definition of iProver_Flat_sK106 % 1.76/1.20 fof(lit_def,axiom, % 1.76/1.20 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.20 ( iProver_Flat_sK106(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.20 ( % 1.76/1.20 ( % 1.76/1.20 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 1.76/1.20 ) % 1.76/1.20 % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ) % 1.76/1.20 ). % 1.76/1.20 % 1.76/1.20 %------ Positive definition of iProver_Flat_sK107 % 1.76/1.20 fof(lit_def,axiom, % 1.76/1.20 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 1.76/1.20 ( iProver_Flat_sK107(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 1.76/1.20 ( % 1.76/1.20 ( % 1.76/1.20 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK108 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK108(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK109 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK109(X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK110 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK110(X0_'C_ell2_c_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK111 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'Nat',X0_'Nat_nat_fun',X0_'Nat_set',X1_'Nat_nat_fun',X2_'Nat_nat_fun'] : % 4.31/1.20 ( iProver_Flat_sK111(X0_'Nat',X0_'Nat_nat_fun',X0_'Nat_set',X1_'Nat_nat_fun',X2_'Nat_nat_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK112 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'B_ell2_b_ell2_cblinfun',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_c_ell2_c_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK112(X0_'B_ell2_b_ell2_cblinfun',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_c_ell2_c_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK113 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'B_ell2_b_ell2_cblinfun',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_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK113(X0_'B_ell2_b_ell2_cblinfun',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_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK114 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'A_ell2_a_ell2_cblinfun',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_a_ell2_a_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK114(X0_'A_ell2_a_ell2_cblinfun',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_a_ell2_a_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK115 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK115(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK116 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK116(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK117 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK117(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK118 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK118(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK119 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK119(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK120 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK120(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK121 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK121(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( 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 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK122 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK122(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( 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 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK123 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK123(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( 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 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK124 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK124(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK125 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK125(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( 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 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK126 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK126(X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK127 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK127(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( 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 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK128 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK128(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( 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 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK129 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK129(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( 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 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK130 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK130(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( 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 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK131 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK131(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( 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 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK132 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK132(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( 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 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK133 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK133(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK134 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK134(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( 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 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK135 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK135(X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK136 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK136(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( 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 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK137 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK137(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( 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 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK138 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK138(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( 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 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK139 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK139(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK140 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK140(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( 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 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK141 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK141(X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK142 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK142(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( 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 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK143 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK143(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK144 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK144(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK145 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [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'] : % 4.31/1.20 ( iProver_Flat_sK145(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') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK146 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [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'] : % 4.31/1.20 ( iProver_Flat_sK146(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') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK147 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK147(X0_'B_ell2_b_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK148 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK148(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK149 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK149(X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK150 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 4.31/1.20 ( iProver_Flat_sK150(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK151 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'Nat',X0_'Nat_nat_fun',X1_'Nat_nat_fun'] : % 4.31/1.20 ( iProver_Flat_sK151(X0_'Nat',X0_'Nat_nat_fun',X1_'Nat_nat_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK152 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'Nat',X0_'Nat_nat_fun',X1_'Nat_nat_fun'] : % 4.31/1.20 ( iProver_Flat_sK152(X0_'Nat',X0_'Nat_nat_fun',X1_'Nat_nat_fun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK153 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'C_ell2_c_ell2_cblinfun',X1_'C_ell2_c_ell2_cblinfun',X2_'C_ell2_c_ell2_cblinfun'] : % 4.31/1.20 ( iProver_Flat_sK153(X0_'C_ell2_c_ell2_cblinfun',X1_'C_ell2_c_ell2_cblinfun',X2_'C_ell2_c_ell2_cblinfun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK154 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'A_ell2_a_ell2_cblinfun',X1_'A_ell2_a_ell2_cblinfun',X2_'A_ell2_a_ell2_cblinfun'] : % 4.31/1.20 ( iProver_Flat_sK154(X0_'A_ell2_a_ell2_cblinfun',X1_'A_ell2_a_ell2_cblinfun',X2_'A_ell2_a_ell2_cblinfun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % 4.31/1.20 %------ Positive definition of iProver_Flat_sK155 % 4.31/1.20 fof(lit_def,axiom, % 4.31/1.20 (! [X0_'B_ell2_b_ell2_cblinfun',X1_'B_ell2_b_ell2_cblinfun',X2_'B_ell2_b_ell2_cblinfun'] : % 4.31/1.20 ( iProver_Flat_sK155(X0_'B_ell2_b_ell2_cblinfun',X1_'B_ell2_b_ell2_cblinfun',X2_'B_ell2_b_ell2_cblinfun') <=> % 4.31/1.20 ( % 4.31/1.20 ( % 4.31/1.20 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 4.31/1.20 ) % 4.31/1.20 % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ) % 4.31/1.20 ). % 4.31/1.20 % SZS output end Model for theBenchmark.p % 4.31/1.20 %------------------------------------------------------------------------------