%------------------------------------------------------------------------------ % File : iProver-SAT---3.9.4 % Problem : ITP302_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 : n012.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 01:51:08 PM UTC 2026 % Result : Satisfiable 0.07s 6.00s % Output : Model 4.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.01 % Problem : ITP302_10 : TPTP v9.3.1. Released v8.2.0. % 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT % 0.03/5.32 % Computer : n012.cluster.edu % 0.03/5.32 % Model : x86_64 x86_64 % 0.03/5.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.03/5.32 % Memory : 8046.5625MB % 0.03/5.32 % OS : Linux 6.8.0-71-generic % 0.03/5.32 % CPULimit : 300 % 0.03/5.32 % WCLimit : 300 % 0.03/5.32 % DateTime : Wed Sep 23 18:21:27 UTC 2026 % 0.03/5.32 % CPUTime : % 0.03/5.32 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT % 0.03/5.34 Running model finding % 0.03/5.34 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 % 0.03/5.35 % 0.03/5.35 % ======== iProver multi-core TPTP/SMT ========= % 0.03/5.35 % 0.03/5.35 % Detected problem language: tptp % 0.03/5.35 % Proving... % 0.07/6.00 % SZS status Started for theBenchmark.p % 0.07/6.00 % SZS status Satisfiable for theBenchmark.p % 0.07/6.00 % 0.07/6.00 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------% % 0.07/6.00 % 0.07/6.00 ------ iProver source info % 0.07/6.00 % 0.07/6.00 git: date: 2026-07-19 20:42:38 +0200 % 0.07/6.00 git: sha1: 804e7d636a263075307957e923b7a22a4035de61 % 0.07/6.00 git: non_committed_changes: false % 0.07/6.00 % 0.07/6.00 ------ Parsing... % 0.07/6.00 ------ Clausification by vclausify_rel & Parsing by iProver... % 0.07/6.00 ------ Proving... % 0.07/6.00 ------ Problem Properties % 0.07/6.00 % 0.07/6.00 % 0.07/6.00 clauses 1323 % 0.07/6.00 conjectures 0 % 0.07/6.00 EPR 31 % 0.07/6.00 Horn 1135 % 0.07/6.00 unary 324 % 0.07/6.00 binary 611 % 0.07/6.00 lits 3013 % 0.07/6.00 lits eq 688 % 0.07/6.00 fd_pure 1 % 0.07/6.00 fd_pseudo 0 % 0.07/6.00 fd_cond 1 % 0.07/6.00 fd_pseudo_cond 80 % 0.07/6.00 AC symbols 0 % 0.07/6.00 % 0.07/6.00 ------ Input Options Time Limit: Unbounded % 0.07/6.00 % 0.07/6.00 % 0.07/6.00 ------ Finite Models: % 0.07/6.00 % 0.07/6.00 ------ lit_activity_flag true % 0.07/6.00 % 0.07/6.00 % 0.07/6.00 ------ Trying domains of size >= : 1 % 0.07/6.00 ------ % 0.07/6.00 Current options: % 0.07/6.00 ------ % 0.07/6.00 % 0.07/6.00 ------ Input Options % 0.07/6.00 % 0.07/6.00 --out_options all % 0.07/6.00 --tptp_safe_out true % 0.07/6.00 --problem_path "" % 0.07/6.00 --include_path "" % 0.07/6.00 --clausifier res/vclausify_rel % 0.07/6.00 --clausifier_options --mode tclausify -t 101.66 --show_fool true -updr off % 0.07/6.00 --stdin false % 0.07/6.00 --proof_out true % 0.07/6.00 --proof_dot_file "" % 0.07/6.00 --proof_reduce_dot [] % 0.07/6.00 --suppress_sat_res false % 0.07/6.00 --suppress_unsat_res true % 0.07/6.00 --stats_out none % 0.07/6.00 --stats_mem false % 0.07/6.00 --theory_stats_out false % 0.07/6.00 % 0.07/6.00 ------ General Options % 0.07/6.00 % 0.07/6.00 --fof false % 0.07/6.00 --time_out_real 304.99 % 0.07/6.00 --time_out_virtual -1. % 0.07/6.00 --rnd_seed 13 % 0.07/6.00 --symbol_type_check false % 0.07/6.00 --clausify_out false % 0.07/6.00 --sig_cnt_out false % 0.07/6.00 --trig_cnt_out false % 0.07/6.00 --trig_cnt_out_tolerance 1. % 0.07/6.00 --trig_cnt_out_sk_spl false % 0.07/6.00 --abstr_cl_out false % 0.07/6.00 % 0.07/6.00 ------ Interactive Mode % 0.07/6.00 % 0.07/6.00 --interactive_mode false % 0.07/6.00 --external_ip_address "" % 0.07/6.00 --external_port 0 % 0.07/6.00 % 0.07/6.00 ------ Global Options % 0.07/6.00 % 0.07/6.00 --schedule none % 0.07/6.00 --add_important_lit false % 0.07/6.00 --prop_solver_per_cl 500 % 0.07/6.00 --subs_bck_mult 8 % 0.07/6.00 --min_unsat_core false % 0.07/6.00 --soft_assumptions false % 0.07/6.00 --soft_lemma_size 3 % 0.07/6.00 --prop_impl_unit_size 0 % 0.07/6.00 --prop_impl_unit [] % 0.07/6.00 --share_sel_clauses true % 0.07/6.00 --reset_solvers false % 0.07/6.00 --bc_imp_inh [conj_cone] % 0.07/6.00 --conj_cone_tolerance 3. % 0.07/6.00 --extra_neg_conj none % 0.07/6.00 --large_theory_mode true % 0.07/6.00 --prolific_symb_bound 200 % 0.07/6.00 --lt_threshold 2000 % 0.07/6.00 --clause_weak_htbl true % 0.07/6.00 --gc_record_bc_elim false % 0.07/6.00 % 0.07/6.00 ------ Preprocessing Options % 0.07/6.00 % 0.07/6.00 --preprocessing_flag false % 0.07/6.00 --time_out_prep_mult 0.1 % 0.07/6.00 --splitting_mode input % 0.07/6.00 --splitting_grd true % 0.07/6.00 --splitting_cvd false % 0.07/6.00 --splitting_cvd_svl false % 0.07/6.00 --splitting_nvd 32 % 0.07/6.00 --sub_typing false % 0.07/6.00 --prep_eq_flat_conj false % 0.07/6.00 --prep_ineq_split false % 0.07/6.00 --prep_eq_flat_all_gr false % 0.07/6.00 --prep_gs_sim true % 0.07/6.00 --prep_unflatten true % 0.07/6.00 --prep_res_sim true % 0.07/6.00 --prep_sup_sim_all true % 0.07/6.00 --prep_sup_sim_sup false % 0.07/6.00 --prep_upred true % 0.07/6.00 --prep_well_definedness true % 0.07/6.00 --prep_sem_filter exhaustive % 0.07/6.00 --prep_sem_filter_out false % 0.07/6.00 --pred_elim true % 0.07/6.00 --res_sim_input true % 0.07/6.00 --eq_ax_congr_red true % 0.07/6.00 --pure_diseq_elim true % 0.07/6.00 --brand_transform false % 0.07/6.00 --non_eq_to_eq false % 0.07/6.00 --prep_eq_proxy false % 0.07/6.00 --prep_def_merge true % 0.07/6.00 --prep_def_merge_prop_impl false % 0.07/6.00 --prep_def_merge_mbd true % 0.07/6.00 --prep_def_merge_tr_red false % 0.07/6.00 --prep_def_merge_tr_cl false % 0.07/6.00 --smt_preprocessing false % 0.07/6.00 --smt_ac_axioms fast % 0.07/6.00 --preprocessed_out false % 0.07/6.00 --preprocessed_stats false % 0.07/6.00 % 0.07/6.00 ------ Abstraction refinement Options % 0.07/6.00 % 0.07/6.00 --abstr_ref [] % 0.07/6.00 --abstr_ref_prep false % 0.07/6.00 --abstr_ref_until_sat false % 0.07/6.00 --abstr_ref_sig_restrict funpre % 0.07/6.00 --abstr_ref_af_restrict_to_split_sk false % 0.07/6.00 --abstr_ref_under [] % 0.07/6.00 % 0.07/6.00 ------ SAT Options % 0.07/6.00 % 0.07/6.00 --sat_mode true % 0.07/6.00 --sat_fm_restart_options "" % 0.07/6.00 --sat_gr_def false % 0.07/6.00 --sat_epr_types true % 0.07/6.00 --sat_non_cyclic_types false % 0.07/6.00 --sat_finite_models true % 0.07/6.00 --sat_fm_lemmas false % 0.07/6.00 --sat_fm_prep false % 0.07/6.00 --sat_fm_uc_incr true % 0.07/6.00 --sat_out_model pos % 0.07/6.00 --sat_out_clauses false % 0.07/6.00 % 0.07/6.00 ------ QBF Options % 0.07/6.00 % 0.07/6.00 --qbf_mode false % 0.07/6.00 --qbf_elim_univ false % 0.07/6.00 --qbf_dom_inst none % 0.07/6.00 --qbf_dom_pre_inst false % 0.07/6.00 --qbf_sk_in false % 0.07/6.00 --qbf_pred_elim true % 0.07/6.00 --qbf_split 512 % 0.07/6.00 % 0.07/6.00 ------ BMC1 Options % 0.07/6.00 % 0.07/6.00 --bmc1_incremental false % 0.07/6.00 --bmc1_axioms reachable_all % 0.07/6.00 --bmc1_min_bound 0 % 0.07/6.00 --bmc1_max_bound -1 % 0.07/6.00 --bmc1_max_bound_default -1 % 0.07/6.00 --bmc1_symbol_reachability true % 0.07/6.00 --bmc1_property_lemmas false % 0.07/6.00 --bmc1_k_induction false % 0.07/6.00 --bmc1_non_equiv_states false % 0.07/6.00 --bmc1_deadlock false % 0.07/6.00 --bmc1_ucm false % 0.07/6.00 --bmc1_add_unsat_core none % 0.07/6.00 --bmc1_unsat_core_children false % 0.07/6.00 --bmc1_unsat_core_extrapolate_axioms false % 0.07/6.00 --bmc1_out_stat full % 0.07/6.00 --bmc1_ground_init false % 0.07/6.00 --bmc1_pre_inst_next_state false % 0.07/6.00 --bmc1_pre_inst_state false % 0.07/6.00 --bmc1_pre_inst_reach_state false % 0.07/6.00 --bmc1_out_unsat_core false % 0.07/6.00 --bmc1_aig_witness_out false % 0.07/6.00 --bmc1_verbose false % 0.07/6.00 --bmc1_dump_clauses_tptp false % 0.07/6.00 --bmc1_dump_unsat_core_tptp false % 0.07/6.00 --bmc1_dump_file - % 0.07/6.00 --bmc1_ucm_expand_uc_limit 128 % 0.07/6.00 --bmc1_ucm_n_expand_iterations 6 % 0.07/6.00 --bmc1_ucm_extend_mode 1 % 0.07/6.00 --bmc1_ucm_init_mode 2 % 0.07/6.00 --bmc1_ucm_cone_mode none % 0.07/6.00 --bmc1_ucm_reduced_relation_type 0 % 0.07/6.00 --bmc1_ucm_relax_model 4 % 0.07/6.00 --bmc1_ucm_full_tr_after_sat true % 0.07/6.00 --bmc1_ucm_expand_neg_assumptions false % 0.07/6.00 --bmc1_ucm_layered_model none % 0.07/6.00 --bmc1_ucm_max_lemma_size 10 % 0.07/6.00 % 0.07/6.00 ------ AIG Options % 0.07/6.00 % 0.07/6.00 --aig_mode false % 0.07/6.00 % 0.07/6.00 ------ Instantiation Options % 0.07/6.00 % 0.07/6.00 --instantiation_flag true % 0.07/6.00 --inst_sos_flag false % 0.07/6.00 --inst_sos_phase true % 0.07/6.00 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb] % 0.07/6.00 --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb] % 0.07/6.00 --inst_lit_sel_side num_symb % 0.07/6.00 --inst_solver_per_active 1400 % 0.07/6.00 --inst_solver_calls_frac 1. % 0.07/6.00 --inst_to_smt_solver true % 0.07/6.00 --inst_passive_queue_type priority_queues % 0.07/6.00 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]] % 0.07/6.00 --inst_passive_queues_freq [25;2] % 0.07/6.00 --inst_dismatching true % 0.07/6.00 --inst_eager_unprocessed_to_passive true % 0.07/6.00 --inst_unprocessed_bound 1000 % 0.07/6.00 --inst_prop_sim_given true % 0.07/6.00 --inst_prop_sim_new false % 0.07/6.00 --inst_subs_new false % 0.07/6.00 --inst_eq_res_simp false % 0.07/6.00 --inst_subs_given false % 0.07/6.00 --inst_orphan_elimination true % 0.07/6.00 --inst_learning_loop_flag true % 0.07/6.00 --inst_learning_start 3000 % 0.07/6.00 --inst_learning_factor 2 % 0.07/6.00 --inst_start_prop_sim_after_learn 3 % 0.07/6.00 --inst_sel_renew solver % 0.07/6.00 --inst_lit_activity_flag true % 0.07/6.00 --inst_restr_to_given false % 0.07/6.00 --inst_activity_threshold 500 % 0.07/6.00 % 0.07/6.00 ------ Resolution Options % 0.07/6.00 % 0.07/6.00 --resolution_flag false % 0.07/6.00 --res_lit_sel adaptive % 0.07/6.00 --res_lit_sel_side none % 0.07/6.00 --res_ordering kbo % 0.07/6.00 --res_to_prop_solver active % 0.07/6.00 --res_prop_simpl_new false % 0.07/6.00 --res_prop_simpl_given true % 0.07/6.00 --res_to_smt_solver true % 0.07/6.00 --res_passive_queue_type priority_queues % 0.07/6.00 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]] % 0.07/6.00 --res_passive_queues_freq [15;5] % 0.07/6.00 --res_forward_subs full % 0.07/6.00 --res_backward_subs full % 0.07/6.00 --res_forward_subs_resolution true % 0.07/6.00 --res_backward_subs_resolution true % 0.07/6.00 --res_orphan_elimination true % 0.07/6.00 --res_time_limit 300. % 0.07/6.00 % 0.07/6.00 ------ Superposition Options % 0.07/6.00 % 0.07/6.00 --superposition_flag false % 0.07/6.00 --sup_passive_queue_type priority_queues % 0.07/6.00 --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]] % 0.07/6.00 --sup_passive_queues_freq [8;1;4;4] % 0.07/6.00 --twee_lhs_weight 4 % 0.07/6.00 --sup_set_join false % 0.07/6.00 --sup_set_join_goals true % 0.07/6.00 --sup_set_join_limit 1000 % 0.07/6.00 --demod_completeness_check fast % 0.07/6.00 --demod_use_ground true % 0.07/6.00 --sup_unprocessed_bound 0 % 0.07/6.00 --sup_to_prop_solver passive % 0.07/6.00 --sup_prop_simpl_new true % 0.07/6.00 --sup_prop_simpl_given true % 0.07/6.00 --sup_fun_splitting false % 0.07/6.00 --sup_iter_deepening 2 % 0.07/6.00 --sup_restarts_mult 12 % 0.07/6.00 --sup_score sim_d_gen % 0.07/6.00 --sup_share_score_frac 0.2 % 0.07/6.00 --sup_share_max_num_cl 500 % 0.07/6.00 --sup_ordering kbo % 0.07/6.00 --sup_symb_ordering invfreq % 0.07/6.00 --sup_term_weight default % 0.07/6.00 % 0.07/6.00 ------ Superposition Simplification Setup % 0.07/6.00 % 0.07/6.00 --sup_indices_passive [LightNormIndex;FwDemodIndex] % 0.07/6.00 --sup_full_triv [SMTSimplify;PropSubs] % 0.07/6.00 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] % 0.07/6.00 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] % 0.07/6.00 --sup_immed_triv [] % 0.07/6.00 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes] % 0.07/6.00 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes] % 0.07/6.00 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod] % 0.07/6.00 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] % 0.07/6.00 --sup_input_triv [Unflattening;SMTSimplify] % 0.07/6.00 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] % 0.07/6.00 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] % 0.07/6.00 --sup_full_fixpoint true % 0.07/6.00 --sup_main_fixpoint true % 0.07/6.00 --sup_immed_fixpoint false % 0.07/6.00 --sup_input_fixpoint true % 0.07/6.00 --sup_cache_sim none % 0.07/6.00 --sup_smt_interval 500 % 0.07/6.00 --sup_bw_gjoin_interval 0 % 0.07/6.00 % 0.07/6.00 ------ Combination Options % 0.07/6.00 % 0.07/6.00 --comb_mode clause_based % 0.07/6.00 --comb_inst_mult 5 % 0.07/6.00 --comb_res_mult 1 % 0.07/6.00 --comb_sup_mult 8 % 0.07/6.00 --comb_sup_deep_mult 2 % 0.07/6.00 % 0.07/6.00 ------ Debug Options % 0.07/6.00 % 0.07/6.00 --dbg_backtrace false % 0.07/6.00 --dbg_dump_prop_clauses false % 0.07/6.00 --dbg_dump_prop_clauses_file - % 0.07/6.00 --dbg_out_stat false % 0.07/6.00 --dbg_just_parse false % 0.07/6.00 % 0.07/6.00 % 0.07/6.00 % 0.07/6.00 % 0.07/6.00 ------ Proving... % 0.07/6.00 % 0.07/6.00 % 0.07/6.00 % SZS status Satisfiable for theBenchmark.p % 0.07/6.00 % 0.07/6.00 ------ Building Model...Done % 0.07/6.00 % 0.07/6.00 %------ The model is defined over ground terms (initial term algebra). % 0.07/6.00 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) % 0.07/6.00 %------ where \phi is a formula over the term algebra. % 0.07/6.00 %------ If we have equality in the problem then it is also defined as a predicate above, % 0.07/6.00 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type % 0.07/6.00 %------ See help for --sat_out_model for different model outputs. % 0.07/6.00 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "=" % 0.07/6.00 %------ where the first argument stands for the sort ($i in the unsorted case) % 0.07/6.00 % SZS output start Model for theBenchmark.p % 0.07/6.00 % 0.07/6.00 %------ Positive definition of equality_sorted % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_tType,X0_tlbool,X1_tlbool] : % 0.07/6.00 ( equality_sorted(X0_tType,X0_tlbool,X1_tlbool) <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_tType=$o & X1_o=X0_o ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType='ZF_set_set_ZF_set_fun$' ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType='ZF_ZF_prod_set$' ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType='A_b_b_c_LSCategory_ext_Category_ext$' ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType='A_b_fun$' ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType='ZF$' ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType='ZF_ZF_unit_Category_ext$' ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType='ZF_set$' ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType='ZF_nat_prod_set$' ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType='ZF_ZF_prod$' ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType='ZF_ZF_prod_ZF_fun$' ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType='Unit$' ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType='B_set$' ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType='ZF_ZF_ZF_fun_fun$' ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType='ZF_ZF_fun$' ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType='A$' ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType='B$' ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType='ZF_set_set_ZF_set_set_fun$' ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType='B_a_fun$' ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType='ZF_set_set$' ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType=tlbool ) % 0.07/6.00 & % 0.07/6.00 ( X0_tlbool!=tltrue | X1_tlbool!=tlfalse ) % 0.07/6.00 & % 0.07/6.00 ( X0_tlbool!=tlfalse ) % 0.07/6.00 & % 0.07/6.00 ( X1_tlbool!=tlfalse ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType=tlbool & X0_tlbool=tlfalse & X1_tlbool=tlfalse ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType=tlbool & X1_tlbool=X0_tlbool ) % 0.07/6.00 & % 0.07/6.00 ( X0_tlbool!=tlfalse ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType=tlbool & X1_tlbool=tltrue ) % 0.07/6.00 & % 0.07/6.00 ( X0_tlbool!=tlfalse ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType='B_b_prod$' ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType='A_set$' ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType='ZF_ZF_prod_set_set_ZF_set_fun$' ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType='Nat_set$' ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType='Nat_nat_prod_set$' ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType='Nat_ZF_prod_set$' ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType='ZF_set_ZF_set_prod_set$' ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType='ZF_ZF_set_prod_set$' ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType='ZF_set_ZF_prod_set$' ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType='B_b_b_fun_fun$' ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType='Nat_set_set_ZF_set_set_fun$' ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType='ZF_set_ZF_set_prod$' ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType='ZF_set_ZF_prod$' ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType='B_c_LSCategory_ext$' ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 | % 0.07/6.00 ( % 0.07/6.00 ( X0_tType='ZF_ZF_set_prod$' ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'less_eq$e' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_prod_set',X1_'ZF_ZF_prod_set'] : % 0.07/6.00 ( 'less_eq$e'(X0_'ZF_ZF_prod_set',X1_'ZF_ZF_prod_set') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'functorM$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 0.07/6.00 ( 'functorM$'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'fun_app$ak' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_prod_bool_fun',X0_'ZF_ZF_prod'] : % 0.07/6.00 ( 'fun_app$ak'(X0_'ZF_ZF_prod_bool_fun',X0_'ZF_ZF_prod') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'less_eq$f' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_set_prod_set',X1_'ZF_ZF_set_prod_set'] : % 0.07/6.00 ( 'less_eq$f'(X0_'ZF_ZF_set_prod_set',X1_'ZF_ZF_set_prod_set') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'lSCategory$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 0.07/6.00 ( 'lSCategory$'(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'less_eq$k' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'B_bool_fun',X1_'B_bool_fun'] : % 0.07/6.00 ( 'less_eq$k'(X0_'B_bool_fun',X1_'B_bool_fun') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'member$l' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_ZF_fun_set'] : % 0.07/6.00 ( 'member$l'(X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_ZF_fun_set') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'category$a' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_unit_Category_ext'] : % 0.07/6.00 ( 'category$a'(X0_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'functorM$b' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext'] : % 0.07/6.00 ( 'functorM$b'(X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'category$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 0.07/6.00 ( 'category$'(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'functorM$a' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext'] : % 0.07/6.00 ( 'functorM$a'(X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'fun_app$ck' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'B_a_fun_bool_fun',X0_'B_a_fun'] : % 0.07/6.00 ( 'fun_app$ck'(X0_'B_a_fun_bool_fun',X0_'B_a_fun') <=> % 0.07/6.00 $false % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'less_eq$m' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set_bool_fun',X1_'ZF_set_bool_fun'] : % 0.07/6.00 ( 'less_eq$m'(X0_'ZF_set_bool_fun',X1_'ZF_set_bool_fun') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'fun_app$h' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set_bool_fun',X0_'ZF_set'] : % 0.07/6.00 ( 'fun_app$h'(X0_'ZF_set_bool_fun',X0_'ZF_set') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'functor$b' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext'] : % 0.07/6.00 ( 'functor$b'(X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'functor$a' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 0.07/6.00 ( 'functor$a'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'fun_app$f' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_bool_fun',X0_'ZF'] : % 0.07/6.00 ( 'fun_app$f'(X0_'ZF_bool_fun',X0_'ZF') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'member$j' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'B_b_prod',X0_'B_b_prod_set'] : % 0.07/6.00 ( 'member$j'(X0_'B_b_prod',X0_'B_b_prod_set') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'lSCategory_axioms$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 0.07/6.00 ( 'lSCategory_axioms$'(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'extCategory$a' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 0.07/6.00 ( 'extCategory$a'(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 0.07/6.00 $false % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'fun_app$ag' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat_bool_fun',X0_'Nat'] : % 0.07/6.00 ( 'fun_app$ag'(X0_'Nat_bool_fun',X0_'Nat') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'member$g' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'B_ZF_fun',X0_'B_ZF_fun_set'] : % 0.07/6.00 ( 'member$g'(X0_'B_ZF_fun',X0_'B_ZF_fun_set') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'extCategory$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_unit_Category_ext'] : % 0.07/6.00 ( 'extCategory$'(X0_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'category_axioms$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 0.07/6.00 ( 'category_axioms$'(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'functor_abbrev$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'ZF_ZF_unit_Category_ext'] : % 0.07/6.00 ( 'functor_abbrev$'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'functorM$c' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'] : % 0.07/6.00 ( 'functorM$c'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'member$f' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_fun_set'] : % 0.07/6.00 ( 'member$f'(X0_'ZF_ZF_fun',X0_'ZF_ZF_fun_set') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'less_eq$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_set',X1_'A_set'] : % 0.07/6.00 ( 'less_eq$'(X0_'A_set',X1_'A_set') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'less_eq$j' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_bool_fun',X1_'A_bool_fun'] : % 0.07/6.00 ( 'less_eq$j'(X0_'A_bool_fun',X1_'A_bool_fun') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'less_eq$a' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'B_set',X1_'B_set'] : % 0.07/6.00 ( 'less_eq$a'(X0_'B_set',X1_'B_set') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'fun_app$cl' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_b_fun_bool_fun',X0_'A_b_fun'] : % 0.07/6.00 ( 'fun_app$cl'(X0_'A_b_fun_bool_fun',X0_'A_b_fun') <=> % 0.07/6.00 $false % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'sup$a' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Bool_set'] : % 0.07/6.00 ( 'sup$a'(X0_'Bool_set') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'less_eq$l' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_bool_fun',X1_'ZF_bool_fun'] : % 0.07/6.00 ( 'less_eq$l'(X0_'ZF_bool_fun',X1_'ZF_bool_fun') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'fun_app$k' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'B_bool_fun',X0_'B'] : % 0.07/6.00 ( 'fun_app$k'(X0_'B_bool_fun',X0_'B') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'member$i' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_b_fun',X0_'A_b_fun_set'] : % 0.07/6.00 ( 'member$i'(X0_'A_b_fun',X0_'A_b_fun_set') <=> % 0.07/6.00 $false % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'less_eq$h' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat_ZF_set_prod_set',X1_'Nat_ZF_set_prod_set'] : % 0.07/6.00 ( 'less_eq$h'(X0_'Nat_ZF_set_prod_set',X1_'Nat_ZF_set_prod_set') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'fun_app$al' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'B_b_prod_bool_fun',X0_'B_b_prod'] : % 0.07/6.00 ( 'fun_app$al'(X0_'B_b_prod_bool_fun',X0_'B_b_prod') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'member$d' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_prod',X0_'ZF_ZF_prod_set'] : % 0.07/6.00 ( 'member$d'(X0_'ZF_ZF_prod',X0_'ZF_ZF_prod_set') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'less_eq$g' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_prod_ZF_prod_set',X1_'ZF_ZF_prod_ZF_prod_set'] : % 0.07/6.00 ( 'less_eq$g'(X0_'ZF_ZF_prod_ZF_prod_set',X1_'ZF_ZF_prod_ZF_prod_set') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'category_axioms$a' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_unit_Category_ext'] : % 0.07/6.00 ( 'category_axioms$a'(X0_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'preFunctor$a' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'] : % 0.07/6.00 ( 'preFunctor$a'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'functor$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'] : % 0.07/6.00 ( 'functor$'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'less_eq$b' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set_set',X1_'ZF_set_set'] : % 0.07/6.00 ( 'less_eq$b'(X0_'ZF_set_set',X1_'ZF_set_set') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'fun_app$n' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_bool_fun',X0_'A'] : % 0.07/6.00 ( 'fun_app$n'(X0_'A_bool_fun',X0_'A') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'functor$c' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext'] : % 0.07/6.00 ( 'functor$c'(X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'member$e' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat',X0_'Nat_set'] : % 0.07/6.00 ( 'member$e'(X0_'Nat',X0_'Nat_set') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'fun_app$j' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set_set_bool_fun',X0_'ZF_set_set'] : % 0.07/6.00 ( 'fun_app$j'(X0_'ZF_set_set_bool_fun',X0_'ZF_set_set') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'fun_app$m' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'B_set_bool_fun',X0_'B_set'] : % 0.07/6.00 ( 'fun_app$m'(X0_'B_set_bool_fun',X0_'B_set') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'preFunctor$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext'] : % 0.07/6.00 ( 'preFunctor$'(X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'member$h' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'B_a_fun',X0_'B_a_fun_set'] : % 0.07/6.00 ( 'member$h'(X0_'B_a_fun',X0_'B_a_fun_set') <=> % 0.07/6.00 $false % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'fun_app$cj' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'B_ZF_fun_bool_fun',X0_'B_ZF_fun'] : % 0.07/6.00 ( 'fun_app$cj'(X0_'B_ZF_fun_bool_fun',X0_'B_ZF_fun') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'fun_app$p' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_set_bool_fun',X0_'A_set'] : % 0.07/6.00 ( 'fun_app$p'(X0_'A_set_bool_fun',X0_'A_set') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of 'fun_app$ci' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_fun_bool_fun',X0_'ZF_ZF_fun'] : % 0.07/6.00 ( 'fun_app$ci'(X0_'ZF_ZF_fun_bool_fun',X0_'ZF_ZF_fun') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of sP0 % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 0.07/6.00 ( sP0(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of sP1 % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 0.07/6.00 ( sP1(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of sP2 % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 0.07/6.00 ( sP2(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of sP3 % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 0.07/6.00 ( sP3(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of sP4 % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 0.07/6.00 ( sP4(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of sP5 % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_unit_Category_ext'] : % 0.07/6.00 ( sP5(X0_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of sP6 % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_unit_Category_ext'] : % 0.07/6.00 ( sP6(X0_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of sP7 % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_unit_Category_ext'] : % 0.07/6.00 ( sP7(X0_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of sP8 % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_unit_Category_ext'] : % 0.07/6.00 ( sP8(X0_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of sP9 % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_unit_Category_ext'] : % 0.07/6.00 ( sP9(X0_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of sP10 % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 0.07/6.00 ( sP10(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 0.07/6.00 $false % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of sP11 % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 0.07/6.00 ( sP11(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 0.07/6.00 $false % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of sP12 % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 0.07/6.00 ( sP12(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 0.07/6.00 $false % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of sP13 % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 0.07/6.00 ( sP13(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 0.07/6.00 $false % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of sP14 % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_unit_Category_ext'] : % 0.07/6.00 ( sP14(X0_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.00 $false % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of sP15 % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_unit_Category_ext'] : % 0.07/6.00 ( sP15(X0_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.00 $false % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of sP16 % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_unit_Category_ext'] : % 0.07/6.00 ( sP16(X0_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.00 $false % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of sP17 % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_unit_Category_ext'] : % 0.07/6.00 ( sP17(X0_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.00 $false % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of sP18 % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 0.07/6.00 ( sP18(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of sP19 % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 0.07/6.00 ( sP19(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 0.07/6.00 $false % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'sup$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set_set_ZF_set_fun'] : % 0.07/6.00 ( iProver_Flat_'sup$'(X0_'ZF_set_set_ZF_set_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_set_set_ZF_set_fun'=iProver_Domain_'ZF_set_set_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'image$ai' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_ZF_ZF_prod_prod_ZF_ZF_prod_fun',X0_'ZF_ZF_prod_ZF_ZF_prod_prod_set'] : % 0.07/6.00 ( iProver_Flat_'image$ai'(X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_ZF_ZF_prod_prod_ZF_ZF_prod_fun',X0_'ZF_ZF_prod_ZF_ZF_prod_prod_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'mor_update$a' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B_set_b_set_fun',X1_'A_b_b_c_LSCategory_ext_Category_ext'] : % 0.07/6.00 ( iProver_Flat_'mor_update$a'(X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B_set_b_set_fun',X1_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'A_b_b_c_LSCategory_ext_Category_ext'=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'id$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_b_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 0.07/6.00 ( iProver_Flat_'id$'(X0_'A_b_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'A_b_fun'=iProver_Domain_'A_b_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'fun_app$ah' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat_bool_fun',X0_'ZF_nat_bool_fun_fun',X0_'ZF'] : % 0.07/6.00 ( iProver_Flat_'fun_app$ah'(X0_'Nat_bool_fun',X0_'ZF_nat_bool_fun_fun',X0_'ZF') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'Nat_bool_fun'=iProver_Domain_'Nat_bool_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'catDom$a' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'] : % 0.07/6.00 ( iProver_Flat_'catDom$a'(X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uxn$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_ZF_prod_set_fun',X0_'ZF_ZF_prod_set'] : % 0.07/6.00 ( iProver_Flat_'uxn$'(X0_'ZF_ZF_ZF_prod_set_fun',X0_'ZF_ZF_prod_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_ZF_prod_set_fun'=iProver_Domain_'ZF_ZF_ZF_prod_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'sigma$b' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_nat_prod_set',X0_'ZF_set',X0_'ZF_nat_set_fun'] : % 0.07/6.00 ( iProver_Flat_'sigma$b'(X0_'ZF_nat_prod_set',X0_'ZF_set',X0_'ZF_nat_set_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_nat_prod_set'=iProver_Domain_'ZF_nat_prod_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'fun_app$bv' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat_ZF_ZF_set_prod_fun',X0_'ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun',X0_'ZF_ZF_prod'] : % 0.07/6.00 ( iProver_Flat_'fun_app$bv'(X0_'Nat_ZF_ZF_set_prod_fun',X0_'ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun',X0_'ZF_ZF_prod') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'Nat_ZF_ZF_set_prod_fun'=iProver_Domain_'Nat_ZF_ZF_set_prod_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uxj$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_ZF_ZF_prod_fun_fun'] : % 0.07/6.00 ( iProver_Flat_'uxj$'(X0_'ZF_ZF_ZF_ZF_prod_fun_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_ZF_ZF_prod_fun_fun'=iProver_Domain_'ZF_ZF_ZF_ZF_prod_fun_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'relInvImage$b' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_prod_ZF_ZF_prod_prod_set',X0_'ZF_ZF_prod_set',X1_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_ZF_fun'] : % 0.07/6.00 ( iProver_Flat_'relInvImage$b'(X0_'ZF_ZF_prod_ZF_ZF_prod_prod_set',X0_'ZF_ZF_prod_set',X1_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_ZF_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_prod_ZF_ZF_prod_prod_set'=iProver_Domain_'ZF_ZF_prod_ZF_ZF_prod_prod_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'c$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 0.07/6.00 ( iProver_Flat_'c$'(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'A_b_b_c_LSCategory_ext_Category_ext'=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'image$bg' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_prod_set_set',X0_'ZF_ZF_prod_ZF_ZF_prod_set_fun',X0_'ZF_ZF_prod_set'] : % 0.07/6.00 ( iProver_Flat_'image$bg'(X0_'ZF_ZF_prod_set_set',X0_'ZF_ZF_prod_ZF_ZF_prod_set_fun',X0_'ZF_ZF_prod_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_prod_set_set'=iProver_Domain_'ZF_ZF_prod_set_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'relcomp$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_prod_set',X1_'ZF_ZF_prod_set',X2_'ZF_ZF_prod_set'] : % 0.07/6.00 ( iProver_Flat_'relcomp$'(X0_'ZF_ZF_prod_set',X1_'ZF_ZF_prod_set',X2_'ZF_ZF_prod_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uwa$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'B_bool_fun',X0_'B_ZF_fun',X0_'B_set',X0_'ZF_bool_fun'] : % 0.07/6.00 ( iProver_Flat_'uwa$'(X0_'B_bool_fun',X0_'B_ZF_fun',X0_'B_set',X0_'ZF_bool_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'vah$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_ZF_fun_fun'] : % 0.07/6.00 ( iProver_Flat_'vah$'(X0_'ZF_ZF_ZF_fun_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'mapO$a' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_a_fun',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext'] : % 0.07/6.00 ( iProver_Flat_'mapO$a'(X0_'A_a_fun',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'A_a_fun'=iProver_Domain_'A_a_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uwl$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_bool_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_set'] : % 0.07/6.00 ( iProver_Flat_'uwl$'(X0_'ZF_bool_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'unitFunctor$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext'] : % 0.07/6.00 ( iProver_Flat_'unitFunctor$'(X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext'=iProver_Domain_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'vas$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat_ZF_set_fun',X0_'Nat_nat_ZF_set_fun_fun',X0_'Nat_nat_fun'] : % 0.07/6.00 ( iProver_Flat_'vas$'(X0_'Nat_ZF_set_fun',X0_'Nat_nat_ZF_set_fun_fun',X0_'Nat_nat_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'fun_app$b' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_ZF_fun_fun',X0_'ZF'] : % 0.07/6.00 ( iProver_Flat_'fun_app$b'(X0_'ZF_ZF_fun',X0_'ZF_ZF_ZF_fun_fun',X0_'ZF') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uyt$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat_set_ZF_set_fun',X0_'Nat_ZF_set_fun'] : % 0.07/6.00 ( iProver_Flat_'uyt$'(X0_'Nat_set_ZF_set_fun',X0_'Nat_ZF_set_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'Nat_set_ZF_set_fun'=iProver_Domain_'Nat_set_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'constFunctor$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext',X1_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A'] : % 0.07/6.00 ( iProver_Flat_'constFunctor$'(X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext',X1_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext'=iProver_Domain_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'vbb$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat_nat_fun_ZF_set_fun',X0_'Nat_nat_ZF_set_fun_fun'] : % 0.07/6.00 ( iProver_Flat_'vbb$'(X0_'Nat_nat_fun_ZF_set_fun',X0_'Nat_nat_ZF_set_fun_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'Nat_nat_fun_ZF_set_fun'=iProver_Domain_'Nat_nat_fun_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'the$a' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'B',X0_'B_bool_fun'] : % 0.07/6.00 ( iProver_Flat_'the$a'(X0_'B',X0_'B_bool_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'B'=iProver_Domain_'B'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'mapsTo$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B',X0_'A'] : % 0.07/6.00 ( iProver_Flat_'mapsTo$'(X0_'A_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B',X0_'A') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'A_bool_fun'=iProver_Domain_'A_bool_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'compDefined$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_bool_fun_fun',X0_'ZF_ZF_unit_Category_ext'] : % 0.07/6.00 ( iProver_Flat_'compDefined$'(X0_'ZF_ZF_bool_fun_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_bool_fun_fun'=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'case_prod$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_ZF_fun_fun'] : % 0.07/6.00 ( iProver_Flat_'case_prod$'(X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_ZF_fun_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_prod_ZF_fun'=iProver_Domain_'ZF_ZF_prod_ZF_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uyq$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat_ZF_set_fun',X1_'Nat_ZF_set_fun',X0_'Nat_nat_set_fun'] : % 0.07/6.00 ( iProver_Flat_'uyq$'(X0_'Nat_ZF_set_fun',X1_'Nat_ZF_set_fun',X0_'Nat_nat_set_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'sigma$g' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_prod_ZF_prod_set',X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_ZF_set_fun'] : % 0.07/6.00 ( iProver_Flat_'sigma$g'(X0_'ZF_ZF_prod_ZF_prod_set',X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_ZF_set_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_prod_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_ZF_prod_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uwx$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_bool_fun',X0_'Nat_ZF_fun'] : % 0.07/6.00 ( iProver_Flat_'uwx$'(X0_'ZF_bool_fun',X0_'Nat_ZF_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'constFunctor$d' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A'] : % 0.07/6.00 ( iProver_Flat_'constFunctor$d'(X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext'=iProver_Domain_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'comp$f' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set_set_ZF_set_set_fun',X0_'ZF_set_ZF_set_set_fun',X0_'ZF_set_set_ZF_set_fun'] : % 0.07/6.00 ( iProver_Flat_'comp$f'(X0_'ZF_set_set_ZF_set_set_fun',X0_'ZF_set_ZF_set_set_fun',X0_'ZF_set_set_ZF_set_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_set_set_ZF_set_set_fun'=iProver_Domain_'ZF_set_set_ZF_set_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'fun_app$bk' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A',X0_'B_a_fun',X0_'B'] : % 0.07/6.00 ( iProver_Flat_'fun_app$bk'(X0_'A',X0_'B_a_fun',X0_'B') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'A'=iProver_Domain_'A'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'image$z' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_prod_set',X0_'ZF_ZF_ZF_prod_fun',X0_'ZF_set'] : % 0.07/6.00 ( iProver_Flat_'image$z'(X0_'ZF_ZF_prod_set',X0_'ZF_ZF_ZF_prod_fun',X0_'ZF_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'extensional$e' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'B_ZF_fun_set',X0_'B_set'] : % 0.07/6.00 ( iProver_Flat_'extensional$e'(X0_'B_ZF_fun_set',X0_'B_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'B_ZF_fun_set'=iProver_Domain_'B_ZF_fun_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uzv$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_bool_fun',X0_'ZF_ZF_bool_fun_fun'] : % 0.07/6.00 ( iProver_Flat_'uzv$'(X0_'ZF_bool_fun',X0_'ZF_ZF_bool_fun_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'member$c' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_set_bool_fun',X0_'A'] : % 0.07/6.00 ( iProver_Flat_'member$c'(X0_'A_set_bool_fun',X0_'A') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'A_set_bool_fun'=iProver_Domain_'A_set_bool_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'inf$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set',X0_'ZF_set_set'] : % 0.07/6.00 ( iProver_Flat_'inf$'(X0_'ZF_set',X0_'ZF_set_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'sup$h' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'B_bool_fun',X0_'B_bool_fun_set'] : % 0.07/6.00 ( iProver_Flat_'sup$h'(X0_'B_bool_fun',X0_'B_bool_fun_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'cod_update$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_unit_Category_ext'] : % 0.07/6.00 ( iProver_Flat_'cod_update$'(X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'member$a' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set_set_bool_fun',X0_'ZF_set'] : % 0.07/6.00 ( iProver_Flat_'member$a'(X0_'ZF_set_set_bool_fun',X0_'ZF_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_set_set_bool_fun'=iProver_Domain_'ZF_set_set_bool_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uyh$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_set_fun',X0_'ZF_ZF_fun',X0_'ZF_set'] : % 0.07/6.00 ( iProver_Flat_'uyh$'(X0_'ZF_ZF_set_fun',X0_'ZF_ZF_fun',X0_'ZF_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'extensional$d' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_prod_ZF_fun_set',X0_'ZF_ZF_prod_set'] : % 0.07/6.00 ( iProver_Flat_'extensional$d'(X0_'ZF_ZF_prod_ZF_fun_set',X0_'ZF_ZF_prod_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_prod_ZF_fun_set'=iProver_Domain_'ZF_ZF_prod_ZF_fun_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'fun_app$av' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_prod_set',X0_'ZF_ZF_ZF_prod_set_fun',X0_'ZF'] : % 0.07/6.00 ( iProver_Flat_'fun_app$av'(X0_'ZF_ZF_prod_set',X0_'ZF_ZF_ZF_prod_set_fun',X0_'ZF') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'fun_app$dd' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set_set_set',X0_'ZF_set_set_ZF_set_set_set_fun',X0_'ZF_set_set'] : % 0.07/6.00 ( iProver_Flat_'fun_app$dd'(X0_'ZF_set_set_set',X0_'ZF_set_set_ZF_set_set_set_fun',X0_'ZF_set_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_set_set_set'=iProver_Domain_'ZF_set_set_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'sigma$k' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_prod_ZF_ZF_prod_prod_set',X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_ZF_ZF_prod_set_fun'] : % 0.07/6.00 ( iProver_Flat_'sigma$k'(X0_'ZF_ZF_prod_ZF_ZF_prod_prod_set',X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_ZF_ZF_prod_set_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_prod_ZF_ZF_prod_prod_set'=iProver_Domain_'ZF_ZF_prod_ZF_ZF_prod_prod_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'restrict$a' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'B',X0_'B_b_prod_b_fun',X0_'B_b_prod_set',X0_'B_b_prod'] : % 0.07/6.00 ( iProver_Flat_'restrict$a'(X0_'B',X0_'B_b_prod_b_fun',X0_'B_b_prod_set',X0_'B_b_prod') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'B'=iProver_Domain_'B'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'fun_app$ai' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod'] : % 0.07/6.00 ( iProver_Flat_'fun_app$ai'(X0_'ZF',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uwk$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set_bool_fun',X0_'ZF_ZF_set_fun',X0_'ZF_set'] : % 0.07/6.00 ( iProver_Flat_'uwk$'(X0_'ZF_set_bool_fun',X0_'ZF_ZF_set_fun',X0_'ZF_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_set_bool_fun'=iProver_Domain_'ZF_set_bool_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'fun_app$cr' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_set',X0_'A_a_set_fun',X0_'A'] : % 0.07/6.00 ( iProver_Flat_'fun_app$cr'(X0_'A_set',X0_'A_a_set_fun',X0_'A') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'A_set'=iProver_Domain_'A_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'obj_update$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A_set_a_set_fun',X1_'A_b_b_c_LSCategory_ext_Category_ext'] : % 0.07/6.00 ( iProver_Flat_'obj_update$'(X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A_set_a_set_fun',X1_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'A_b_b_c_LSCategory_ext_Category_ext'=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uux$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_bool_fun',X0_'A_set',X1_'A_bool_fun'] : % 0.07/6.00 ( iProver_Flat_'uux$'(X0_'A_bool_fun',X0_'A_set',X1_'A_bool_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'A_bool_fun'=iProver_Domain_'A_bool_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'image$bq' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set_set',X0_'Nat_nat_fun_ZF_set_fun',X0_'Nat_nat_fun_set'] : % 0.07/6.00 ( iProver_Flat_'image$bq'(X0_'ZF_set_set',X0_'Nat_nat_fun_ZF_set_fun',X0_'Nat_nat_fun_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_set_set'=iProver_Domain_'ZF_set_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uwd$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_bool_fun',X0_'ZF_set_a_fun',X0_'ZF_set_set',X1_'A_bool_fun'] : % 0.07/6.00 ( iProver_Flat_'uwd$'(X0_'A_bool_fun',X0_'ZF_set_a_fun',X0_'ZF_set_set',X1_'A_bool_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'A_bool_fun'=iProver_Domain_'A_bool_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uyb$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat_nat_ZF_set_ZF_set_prod_fun_fun',X0_'Nat_ZF_set_fun',X1_'Nat_ZF_set_fun'] : % 0.07/6.00 ( iProver_Flat_'uyb$'(X0_'Nat_nat_ZF_set_ZF_set_prod_fun_fun',X0_'Nat_ZF_set_fun',X1_'Nat_ZF_set_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'Nat_nat_ZF_set_ZF_set_prod_fun_fun'=iProver_Domain_'Nat_nat_ZF_set_ZF_set_prod_fun_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uuw$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_ZF_fun_fun'] : % 0.07/6.00 ( iProver_Flat_'uuw$'(X0_'ZF_ZF_ZF_fun_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'id_update$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_unit_Category_ext'] : % 0.07/6.00 ( iProver_Flat_'id_update$'(X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'image$e' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Bool_set',X0_'A_set_bool_fun',X0_'A_set_set'] : % 0.07/6.00 ( iProver_Flat_'image$e'(X0_'Bool_set',X0_'A_set_bool_fun',X0_'A_set_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'Bool_set'=iProver_Domain_'Bool_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'fun_app$o' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_bool_fun',X0_'A_set_a_bool_fun_fun',X0_'A_set'] : % 0.07/6.00 ( iProver_Flat_'fun_app$o'(X0_'A_bool_fun',X0_'A_set_a_bool_fun_fun',X0_'A_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'A_bool_fun'=iProver_Domain_'A_bool_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'inverse_rel$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'B_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B'] : % 0.07/6.00 ( iProver_Flat_'inverse_rel$'(X0_'B_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'mapO$b' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'] : % 0.07/6.00 ( iProver_Flat_'mapO$b'(X0_'ZF_ZF_fun',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'fun_app$co' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set',X0_'A_ZF_set_fun',X0_'A'] : % 0.07/6.00 ( iProver_Flat_'fun_app$co'(X0_'ZF_set',X0_'A_ZF_set_fun',X0_'A') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uwp$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_bool_fun',X0_'ZF_set_ZF_fun',X0_'ZF_set_set'] : % 0.07/6.00 ( iProver_Flat_'uwp$'(X0_'ZF_bool_fun',X0_'ZF_set_ZF_fun',X0_'ZF_set_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'fun_app$bn' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_ZF_prod_set_fun',X0_'ZF_ZF_ZF_ZF_prod_set_fun_fun',X0_'ZF'] : % 0.07/6.00 ( iProver_Flat_'fun_app$bn'(X0_'ZF_ZF_ZF_prod_set_fun',X0_'ZF_ZF_ZF_ZF_prod_set_fun_fun',X0_'ZF') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_ZF_prod_set_fun'=iProver_Domain_'ZF_ZF_ZF_prod_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'top$b' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_prod_set'] : % 0.07/6.00 ( iProver_Flat_'top$b'(X0_'ZF_ZF_prod_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'f$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'B'] : % 0.07/6.00 ( iProver_Flat_'f$'(X0_'B') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'B'=iProver_Domain_'B'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uye$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_prod_ZF_ZF_prod_set_fun',X0_'ZF_ZF_prod_set'] : % 0.07/6.00 ( iProver_Flat_'uye$'(X0_'ZF_ZF_prod_ZF_ZF_prod_set_fun',X0_'ZF_ZF_prod_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_prod_ZF_ZF_prod_set_fun'=iProver_Domain_'ZF_ZF_prod_ZF_ZF_prod_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'comp$g' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_prod_set_set_ZF_set_fun',X0_'ZF_set_set_ZF_set_fun',X0_'ZF_ZF_prod_set_set_ZF_set_set_fun'] : % 0.07/6.00 ( iProver_Flat_'comp$g'(X0_'ZF_ZF_prod_set_set_ZF_set_fun',X0_'ZF_set_set_ZF_set_fun',X0_'ZF_ZF_prod_set_set_ZF_set_set_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_prod_set_set_ZF_set_fun'=iProver_Domain_'ZF_ZF_prod_set_set_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'sup$j' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_bool_fun',X0_'ZF_bool_fun_set'] : % 0.07/6.00 ( iProver_Flat_'sup$j'(X0_'ZF_bool_fun',X0_'ZF_bool_fun_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'image$f' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_prod_set_ZF_set_fun',X0_'ZF_ZF_prod_ZF_fun'] : % 0.07/6.00 ( iProver_Flat_'image$f'(X0_'ZF_ZF_prod_set_ZF_set_fun',X0_'ZF_ZF_prod_ZF_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_prod_set_ZF_set_fun'=iProver_Domain_'ZF_ZF_prod_set_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uww$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set_bool_fun',X0_'Nat_ZF_set_fun'] : % 0.07/6.00 ( iProver_Flat_'uww$'(X0_'ZF_set_bool_fun',X0_'Nat_ZF_set_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_set_bool_fun'=iProver_Domain_'ZF_set_bool_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'image$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat_set_ZF_set_set_fun',X0_'Nat_ZF_set_fun'] : % 0.07/6.00 ( iProver_Flat_'image$'(X0_'Nat_set_ZF_set_set_fun',X0_'Nat_ZF_set_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'Nat_set_ZF_set_set_fun'=iProver_Domain_'Nat_set_ZF_set_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'fun_app$aa' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat_ZF_set_fun',X0_'Nat_nat_ZF_set_fun_fun',X0_'Nat'] : % 0.07/6.00 ( iProver_Flat_'fun_app$aa'(X0_'Nat_ZF_set_fun',X0_'Nat_nat_ZF_set_fun_fun',X0_'Nat') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'fun_app$cg' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat_set',X0_'ZF_ZF_prod_nat_set_fun',X0_'ZF_ZF_prod'] : % 0.07/6.00 ( iProver_Flat_'fun_app$cg'(X0_'Nat_set',X0_'ZF_ZF_prod_nat_set_fun',X0_'ZF_ZF_prod') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'Nat_set'=iProver_Domain_'Nat_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'top$e' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat_nat_prod_set'] : % 0.07/6.00 ( iProver_Flat_'top$e'(X0_'Nat_nat_prod_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'Nat_nat_prod_set'=iProver_Domain_'Nat_nat_prod_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'top$d' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat_ZF_prod_set'] : % 0.07/6.00 ( iProver_Flat_'top$d'(X0_'Nat_ZF_prod_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'Nat_ZF_prod_set'=iProver_Domain_'Nat_ZF_prod_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'image$ac' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set_ZF_set_prod_set',X0_'ZF_nat_prod_ZF_set_ZF_set_prod_fun',X0_'ZF_nat_prod_set'] : % 0.07/6.00 ( iProver_Flat_'image$ac'(X0_'ZF_set_ZF_set_prod_set',X0_'ZF_nat_prod_ZF_set_ZF_set_prod_fun',X0_'ZF_nat_prod_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_set_ZF_set_prod_set'=iProver_Domain_'ZF_set_ZF_set_prod_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'converse$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_prod_set',X1_'ZF_ZF_prod_set'] : % 0.07/6.00 ( iProver_Flat_'converse$'(X0_'ZF_ZF_prod_set',X1_'ZF_ZF_prod_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uwv$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_bool_fun',X0_'ZF_ZF_fun'] : % 0.07/6.00 ( iProver_Flat_'uwv$'(X0_'ZF_bool_fun',X0_'ZF_ZF_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uzb$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat_ZF_set_fun',X0_'Nat_ZF_ZF_set_fun_fun',X0_'ZF_set'] : % 0.07/6.00 ( iProver_Flat_'uzb$'(X0_'Nat_ZF_set_fun',X0_'Nat_ZF_ZF_set_fun_fun',X0_'ZF_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uxi$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_set_fun',X0_'ZF_set'] : % 0.07/6.00 ( iProver_Flat_'uxi$'(X0_'ZF_ZF_set_fun',X0_'ZF_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uxl$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_set_fun',X0_'ZF_ZF_bool_fun_fun'] : % 0.07/6.00 ( iProver_Flat_'uxl$'(X0_'ZF_ZF_set_fun',X0_'ZF_ZF_bool_fun_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'fun_app$bf' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF',X0_'A_ZF_fun',X0_'A'] : % 0.07/6.00 ( iProver_Flat_'fun_app$bf'(X0_'ZF',X0_'A_ZF_fun',X0_'A') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uur$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_fun'] : % 0.07/6.00 ( iProver_Flat_'uur$'(X0_'ZF_ZF_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uxh$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_set_fun',X0_'ZF_bool_fun'] : % 0.07/6.00 ( iProver_Flat_'uxh$'(X0_'ZF_ZF_set_fun',X0_'ZF_bool_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'comp$j' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set_set_ZF_set_fun',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_set_ZF_set_fun'] : % 0.07/6.00 ( iProver_Flat_'comp$j'(X0_'ZF_set_set_ZF_set_fun',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_set_ZF_set_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_set_set_ZF_set_fun'=iProver_Domain_'ZF_set_set_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'gr$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_set_prod_set',X0_'ZF_set',X0_'ZF_ZF_set_fun'] : % 0.07/6.00 ( iProver_Flat_'gr$'(X0_'ZF_ZF_set_prod_set',X0_'ZF_set',X0_'ZF_ZF_set_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_set_prod_set'=iProver_Domain_'ZF_ZF_set_prod_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'comp$e' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set_set_ZF_set_set_fun',X0_'ZF_set_set_set_ZF_set_set_fun',X0_'ZF_set_set_ZF_set_set_set_fun'] : % 0.07/6.00 ( iProver_Flat_'comp$e'(X0_'ZF_set_set_ZF_set_set_fun',X0_'ZF_set_set_set_ZF_set_set_fun',X0_'ZF_set_set_ZF_set_set_set_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_set_set_ZF_set_set_fun'=iProver_Domain_'ZF_set_set_ZF_set_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uuh$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_bool_fun_fun',X0_tlbool,X0_'ZF'] : % 0.07/6.00 ( iProver_Flat_'uuh$'(X0_'ZF_ZF_bool_fun_fun',X0_tlbool,X0_'ZF') <=> % 0.07/6.00 $true % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'sigma$f' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set_ZF_prod_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_fun'] : % 0.07/6.00 ( iProver_Flat_'sigma$f'(X0_'ZF_set_ZF_prod_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_set_ZF_prod_set'=iProver_Domain_'ZF_set_ZF_prod_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'sup$i' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set_bool_fun',X0_'ZF_set_bool_fun_set'] : % 0.07/6.00 ( iProver_Flat_'sup$i'(X0_'ZF_set_bool_fun',X0_'ZF_set_bool_fun_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_set_bool_fun'=iProver_Domain_'ZF_set_bool_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'pair$a' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'B_b_prod',X0_'B',X1_'B'] : % 0.07/6.00 ( iProver_Flat_'pair$a'(X0_'B_b_prod',X0_'B',X1_'B') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'B_b_prod'=iProver_Domain_'B_b_prod'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uyp$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_set_fun',X0_'Nat_ZF_set_fun',X0_'ZF_nat_set_fun'] : % 0.07/6.00 ( iProver_Flat_'uyp$'(X0_'ZF_ZF_set_fun',X0_'Nat_ZF_set_fun',X0_'ZF_nat_set_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'vao$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_set_fun',X0_'Nat_ZF_ZF_set_fun_fun'] : % 0.07/6.00 ( iProver_Flat_'vao$'(X0_'ZF_ZF_set_fun',X0_'Nat_ZF_ZF_set_fun_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uzn$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat_ZF_ZF_set_fun_fun',X0_'Nat_ZF_set_fun'] : % 0.07/6.00 ( iProver_Flat_'uzn$'(X0_'Nat_ZF_ZF_set_fun_fun',X0_'Nat_ZF_set_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'Nat_ZF_ZF_set_fun_fun'=iProver_Domain_'Nat_ZF_ZF_set_fun_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'image$m' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_set',X0_'B_a_fun',X0_'B_set'] : % 0.07/6.00 ( iProver_Flat_'image$m'(X0_'A_set',X0_'B_a_fun',X0_'B_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'A_set'=iProver_Domain_'A_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uzs$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun',X0_'ZF_set'] : % 0.07/6.00 ( iProver_Flat_'uzs$'(X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun',X0_'ZF_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'extensional$c' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'B_b_prod_b_fun_set',X0_'B_b_prod_set'] : % 0.07/6.00 ( iProver_Flat_'extensional$c'(X0_'B_b_prod_b_fun_set',X0_'B_b_prod_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'B_b_prod_b_fun_set'=iProver_Domain_'B_b_prod_b_fun_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uut$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_bool_fun'] : % 0.07/6.00 ( iProver_Flat_'uut$'(X0_'ZF_bool_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'case_prod$a' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'B_b_prod_b_fun',X0_'B_b_b_fun_fun'] : % 0.07/6.00 ( iProver_Flat_'case_prod$a'(X0_'B_b_prod_b_fun',X0_'B_b_b_fun_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'B_b_prod_b_fun'=iProver_Domain_'B_b_prod_b_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uzp$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_set_fun',X0_'Nat_ZF_set_fun',X0_'Nat_set'] : % 0.07/6.00 ( iProver_Flat_'uzp$'(X0_'ZF_ZF_set_fun',X0_'Nat_ZF_set_fun',X0_'Nat_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'collect$i' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'B_set',X0_'B_bool_fun'] : % 0.07/6.00 ( iProver_Flat_'collect$i'(X0_'B_set',X0_'B_bool_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uve$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat_ZF_set_fun',X0_'ZF_set_ZF_set_fun',X1_'Nat_ZF_set_fun'] : % 0.07/6.00 ( iProver_Flat_'uve$'(X0_'Nat_ZF_set_fun',X0_'ZF_set_ZF_set_fun',X1_'Nat_ZF_set_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uyc$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat_nat_set_fun',X0_'Nat_set'] : % 0.07/6.00 ( iProver_Flat_'uyc$'(X0_'Nat_nat_set_fun',X0_'Nat_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'Nat_nat_set_fun'=iProver_Domain_'Nat_nat_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'sum$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_fun'] : % 0.07/6.00 ( iProver_Flat_'sum$'(X0_'ZF_ZF_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'image$a' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set_ZF_set_set_fun',X0_'ZF_ZF_set_fun'] : % 0.07/6.00 ( iProver_Flat_'image$a'(X0_'ZF_set_ZF_set_set_fun',X0_'ZF_ZF_set_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_set_ZF_set_set_fun'=iProver_Domain_'ZF_set_ZF_set_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'image$bc' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set_set_set',X0_'Nat_ZF_set_set_fun',X0_'Nat_set'] : % 0.07/6.00 ( iProver_Flat_'image$bc'(X0_'ZF_set_set_set',X0_'Nat_ZF_set_set_fun',X0_'Nat_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_set_set_set'=iProver_Domain_'ZF_set_set_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'image$p' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_set_a_set_fun',X0_'A_a_fun'] : % 0.07/6.00 ( iProver_Flat_'image$p'(X0_'A_set_a_set_fun',X0_'A_a_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'A_set_a_set_fun'=iProver_Domain_'A_set_a_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'image$bh' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_bool_fun_set',X0_'A_set_a_bool_fun_fun',X0_'A_set_set'] : % 0.07/6.00 ( iProver_Flat_'image$bh'(X0_'A_bool_fun_set',X0_'A_set_a_bool_fun_fun',X0_'A_set_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'A_bool_fun_set'=iProver_Domain_'A_bool_fun_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'fun_app$aq' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun',X1_'ZF_ZF_ZF_fun_fun'] : % 0.07/6.00 ( iProver_Flat_'fun_app$aq'(X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun',X1_'ZF_ZF_ZF_fun_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'mor$a' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext'] : % 0.07/6.00 ( iProver_Flat_'mor$a'(X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uxa$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set_ZF_set_set_fun',X0_'Nat_ZF_set_fun',X0_'Nat_set'] : % 0.07/6.00 ( iProver_Flat_'uxa$'(X0_'ZF_set_ZF_set_set_fun',X0_'Nat_ZF_set_fun',X0_'Nat_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_set_ZF_set_set_fun'=iProver_Domain_'ZF_set_ZF_set_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'sigma$c' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat_ZF_prod_set',X0_'Nat_set',X0_'Nat_ZF_set_fun'] : % 0.07/6.00 ( iProver_Flat_'sigma$c'(X0_'Nat_ZF_prod_set',X0_'Nat_set',X0_'Nat_ZF_set_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'Nat_ZF_prod_set'=iProver_Domain_'Nat_ZF_prod_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'app$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_ZF_fun_fun'] : % 0.07/6.00 ( iProver_Flat_'app$'(X0_'ZF_ZF_ZF_fun_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'catDom$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext'] : % 0.07/6.00 ( iProver_Flat_'catDom$'(X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'A_b_b_c_LSCategory_ext_Category_ext'=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'set$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_unit_Category_ext'] : % 0.07/6.00 ( iProver_Flat_'set$'(X0_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uui$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'B_b_prod_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 0.07/6.00 ( iProver_Flat_'uui$'(X0_'B_b_prod_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'B_b_prod_bool_fun'=iProver_Domain_'B_b_prod_bool_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uuz$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set_bool_fun',X0_'ZF_set_set',X1_'ZF_set_bool_fun'] : % 0.07/6.00 ( iProver_Flat_'uuz$'(X0_'ZF_set_bool_fun',X0_'ZF_set_set',X1_'ZF_set_bool_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_set_bool_fun'=iProver_Domain_'ZF_set_bool_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uuj$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_prod_bool_fun',X0_'ZF_ZF_unit_Category_ext'] : % 0.07/6.00 ( iProver_Flat_'uuj$'(X0_'ZF_ZF_prod_bool_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_prod_bool_fun'=iProver_Domain_'ZF_ZF_prod_bool_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'extensional$a' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_fun_set',X0_'ZF_set'] : % 0.07/6.00 ( iProver_Flat_'extensional$a'(X0_'ZF_ZF_fun_set',X0_'ZF_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_fun_set'=iProver_Domain_'ZF_ZF_fun_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'fun_app$ay' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set_set',X0_'Nat_ZF_set_set_fun',X0_'Nat'] : % 0.07/6.00 ( iProver_Flat_'fun_app$ay'(X0_'ZF_set_set',X0_'Nat_ZF_set_set_fun',X0_'Nat') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_set_set'=iProver_Domain_'ZF_set_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uzg$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat_ZF_set_fun',X0_'Nat_nat_ZF_set_fun_fun',X0_'Nat_set'] : % 0.07/6.00 ( iProver_Flat_'uzg$'(X0_'Nat_ZF_set_fun',X0_'Nat_nat_ZF_set_fun_fun',X0_'Nat_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'sigma$e' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_ZF_prod_prod_set',X0_'ZF_set',X0_'ZF_ZF_ZF_prod_set_fun'] : % 0.07/6.00 ( iProver_Flat_'sigma$e'(X0_'ZF_ZF_ZF_prod_prod_set',X0_'ZF_set',X0_'ZF_ZF_ZF_prod_set_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_ZF_prod_prod_set'=iProver_Domain_'ZF_ZF_ZF_prod_prod_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'unity$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Unit'] : % 0.07/6.00 ( iProver_Flat_'unity$'(X0_'Unit') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'Unit'=iProver_Domain_'Unit'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'fun_app$az' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_prod',X0_'ZF_ZF_prod_ZF_ZF_prod_fun',X1_'ZF_ZF_prod'] : % 0.07/6.00 ( iProver_Flat_'fun_app$az'(X0_'ZF_ZF_prod',X0_'ZF_ZF_prod_ZF_ZF_prod_fun',X1_'ZF_ZF_prod') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_prod'=iProver_Domain_'ZF_ZF_prod'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uwr$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat_ZF_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'Nat_ZF_ZF_prod_fun'] : % 0.07/6.00 ( iProver_Flat_'uwr$'(X0_'Nat_ZF_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'Nat_ZF_ZF_prod_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'Nat_ZF_fun'=iProver_Domain_'Nat_ZF_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'image$ah' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set_ZF_set_prod_set',X0_'Nat_nat_prod_ZF_set_ZF_set_prod_fun',X0_'Nat_nat_prod_set'] : % 0.07/6.00 ( iProver_Flat_'image$ah'(X0_'ZF_set_ZF_set_prod_set',X0_'Nat_nat_prod_ZF_set_ZF_set_prod_fun',X0_'Nat_nat_prod_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_set_ZF_set_prod_set'=iProver_Domain_'ZF_set_ZF_set_prod_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'image$h' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'B_set',X0_'ZF_b_fun',X0_'ZF_set'] : % 0.07/6.00 ( iProver_Flat_'image$h'(X0_'B_set',X0_'ZF_b_fun',X0_'ZF_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uwt$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_bool_fun',X0_'ZF_ZF_prod_ZF_fun'] : % 0.07/6.00 ( iProver_Flat_'uwt$'(X0_'ZF_bool_fun',X0_'ZF_ZF_prod_ZF_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uyv$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_set_fun',X0_'ZF_ZF_ZF_set_fun_fun',X0_'ZF_set'] : % 0.07/6.00 ( iProver_Flat_'uyv$'(X0_'ZF_ZF_set_fun',X0_'ZF_ZF_ZF_set_fun_fun',X0_'ZF_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'repl$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF',X1_'ZF',X0_'ZF_ZF_fun'] : % 0.07/6.00 ( iProver_Flat_'repl$'(X0_'ZF',X1_'ZF',X0_'ZF_ZF_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'inf$b' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'B_set',X0_'B_set_set'] : % 0.07/6.00 ( iProver_Flat_'inf$b'(X0_'B_set',X0_'B_set_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'fun_app$x' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set_set',X0_'ZF_set_ZF_set_set_fun',X0_'ZF_set'] : % 0.07/6.00 ( iProver_Flat_'fun_app$x'(X0_'ZF_set_set',X0_'ZF_set_ZF_set_set_fun',X0_'ZF_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_set_set'=iProver_Domain_'ZF_set_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'comp$d' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat_set_set_ZF_set_set_fun',X0_'Nat_set_ZF_set_set_fun',X0_'Nat_set_set_nat_set_fun'] : % 0.07/6.00 ( iProver_Flat_'comp$d'(X0_'Nat_set_set_ZF_set_set_fun',X0_'Nat_set_ZF_set_set_fun',X0_'Nat_set_set_nat_set_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'Nat_set_set_ZF_set_set_fun'=iProver_Domain_'Nat_set_set_ZF_set_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'val$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat_ZF_set_fun',X0_'ZF_nat_ZF_set_fun_fun'] : % 0.07/6.00 ( iProver_Flat_'val$'(X0_'Nat_ZF_set_fun',X0_'ZF_nat_ZF_set_fun_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'obj_update$a' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_unit_Category_ext',X0_'ZF_set_ZF_set_fun',X1_'ZF_ZF_unit_Category_ext'] : % 0.07/6.00 ( iProver_Flat_'obj_update$a'(X0_'ZF_ZF_unit_Category_ext',X0_'ZF_set_ZF_set_fun',X1_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'mor2ZF$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'B_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 0.07/6.00 ( iProver_Flat_'mor2ZF$'(X0_'B_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'B_ZF_fun'=iProver_Domain_'B_ZF_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uva$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_bool_fun',X0_'ZF_set',X1_'ZF_bool_fun'] : % 0.07/6.00 ( iProver_Flat_'uva$'(X0_'ZF_bool_fun',X0_'ZF_set',X1_'ZF_bool_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'comp_update$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun',X1_'ZF_ZF_unit_Category_ext'] : % 0.07/6.00 ( iProver_Flat_'comp_update$'(X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun',X1_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uxy$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat_ZF_set_fun',X0_'ZF_set'] : % 0.07/6.00 ( iProver_Flat_'uxy$'(X0_'Nat_ZF_set_fun',X0_'ZF_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uvg$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat_ZF_set_fun',X0_'ZF_ZF_set_fun',X0_'Nat_ZF_fun'] : % 0.07/6.00 ( iProver_Flat_'uvg$'(X0_'Nat_ZF_set_fun',X0_'ZF_ZF_set_fun',X0_'Nat_ZF_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uvi$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_prod_ZF_fun',X1_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_ZF_ZF_prod_fun'] : % 0.07/6.00 ( iProver_Flat_'uvi$'(X0_'ZF_ZF_prod_ZF_fun',X1_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_ZF_ZF_prod_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_prod_ZF_fun'=iProver_Domain_'ZF_ZF_prod_ZF_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'extensional$b' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_b_fun_set',X0_'A_set'] : % 0.07/6.00 ( iProver_Flat_'extensional$b'(X0_'A_b_fun_set',X0_'A_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'A_b_fun_set'=iProver_Domain_'A_b_fun_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'fun_app$ca' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set_ZF_set_prod',X0_'Nat_ZF_set_ZF_set_prod_fun',X0_'Nat'] : % 0.07/6.00 ( iProver_Flat_'fun_app$ca'(X0_'ZF_set_ZF_set_prod',X0_'Nat_ZF_set_ZF_set_prod_fun',X0_'Nat') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_set_ZF_set_prod'=iProver_Domain_'ZF_set_ZF_set_prod'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uvb$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_bool_fun',X1_'ZF_bool_fun',X2_'ZF_bool_fun'] : % 0.07/6.00 ( iProver_Flat_'uvb$'(X0_'ZF_bool_fun',X1_'ZF_bool_fun',X2_'ZF_bool_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'image$bj' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set_bool_fun_set',X0_'ZF_set_set_ZF_set_bool_fun_fun',X0_'ZF_set_set_set'] : % 0.07/6.00 ( iProver_Flat_'image$bj'(X0_'ZF_set_bool_fun_set',X0_'ZF_set_set_ZF_set_bool_fun_fun',X0_'ZF_set_set_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_set_bool_fun_set'=iProver_Domain_'ZF_set_bool_fun_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'fun_app$bw' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set_ZF_prod',X0_'ZF_ZF_prod_ZF_set_ZF_prod_fun',X0_'ZF_ZF_prod'] : % 0.07/6.00 ( iProver_Flat_'fun_app$bw'(X0_'ZF_set_ZF_prod',X0_'ZF_ZF_prod_ZF_set_ZF_prod_fun',X0_'ZF_ZF_prod') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_set_ZF_prod'=iProver_Domain_'ZF_set_ZF_prod'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uuk$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun',X0_'ZF_ZF_fun'] : % 0.07/6.00 ( iProver_Flat_'uuk$'(X0_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun',X0_'ZF_ZF_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'gr$a' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_prod_ZF_prod_set',X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_ZF_fun'] : % 0.07/6.00 ( iProver_Flat_'gr$a'(X0_'ZF_ZF_prod_ZF_prod_set',X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_ZF_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_prod_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_ZF_prod_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uxb$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_set_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_set'] : % 0.07/6.00 ( iProver_Flat_'uxb$'(X0_'ZF_ZF_set_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'dom_update$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B_a_fun_b_a_fun_fun',X1_'A_b_b_c_LSCategory_ext_Category_ext'] : % 0.07/6.00 ( iProver_Flat_'dom_update$'(X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B_a_fun_b_a_fun_fun',X1_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'A_b_b_c_LSCategory_ext_Category_ext'=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'vaw$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat_ZF_set_fun',X0_'ZF_nat_ZF_set_fun_fun'] : % 0.07/6.00 ( iProver_Flat_'vaw$'(X0_'Nat_ZF_set_fun',X0_'ZF_nat_ZF_set_fun_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'fun_app$cx' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set',X0_'B_ZF_set_fun',X0_'B'] : % 0.07/6.00 ( iProver_Flat_'fun_app$cx'(X0_'ZF_set',X0_'B_ZF_set_fun',X0_'B') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'image$az' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_prod_set_set',X0_'ZF_ZF_ZF_prod_set_fun',X0_'ZF_set'] : % 0.07/6.00 ( iProver_Flat_'image$az'(X0_'ZF_ZF_prod_set_set',X0_'ZF_ZF_ZF_prod_set_fun',X0_'ZF_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_prod_set_set'=iProver_Domain_'ZF_ZF_prod_set_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'vba$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat_ZF_set_fun',X0_'Nat_nat_ZF_set_fun_fun'] : % 0.07/6.00 ( iProver_Flat_'vba$'(X0_'Nat_ZF_set_fun',X0_'Nat_nat_ZF_set_fun_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uvo$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'B_bool_fun',X0_'B_a_fun',X0_'B_set',X0_'A_bool_fun'] : % 0.07/6.00 ( iProver_Flat_'uvo$'(X0_'B_bool_fun',X0_'B_a_fun',X0_'B_set',X0_'A_bool_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'image$as' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_prod_set_set',X0_'ZF_set_ZF_ZF_prod_set_fun',X0_'ZF_set_set'] : % 0.07/6.00 ( iProver_Flat_'image$as'(X0_'ZF_ZF_prod_set_set',X0_'ZF_set_ZF_ZF_prod_set_fun',X0_'ZF_set_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_prod_set_set'=iProver_Domain_'ZF_ZF_prod_set_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'comp$h' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_prod_set_set_ZF_set_fun',X0_'ZF_ZF_prod_set_ZF_set_fun',X0_'ZF_ZF_prod_set_set_ZF_ZF_prod_set_fun'] : % 0.07/6.00 ( iProver_Flat_'comp$h'(X0_'ZF_ZF_prod_set_set_ZF_set_fun',X0_'ZF_ZF_prod_set_ZF_set_fun',X0_'ZF_ZF_prod_set_set_ZF_ZF_prod_set_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_prod_set_set_ZF_set_fun'=iProver_Domain_'ZF_ZF_prod_set_set_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'identityFunctor$b' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext'] : % 0.07/6.00 ( iProver_Flat_'identityFunctor$b'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'pair$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_ZF_prod_fun',X0_'ZF'] : % 0.07/6.00 ( iProver_Flat_'pair$'(X0_'ZF_ZF_ZF_prod_fun',X0_'ZF') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_ZF_prod_fun'=iProver_Domain_'ZF_ZF_ZF_prod_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'case_prod$n' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat_ZF_prod_ZF_ZF_prod_set_fun',X0_'Nat_ZF_ZF_ZF_prod_set_fun_fun'] : % 0.07/6.00 ( iProver_Flat_'case_prod$n'(X0_'Nat_ZF_prod_ZF_ZF_prod_set_fun',X0_'Nat_ZF_ZF_ZF_prod_set_fun_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'Nat_ZF_prod_ZF_ZF_prod_set_fun'=iProver_Domain_'Nat_ZF_prod_ZF_ZF_prod_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uvh$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_prod_ZF_set_fun',X0_'ZF_ZF_set_fun',X0_'ZF_ZF_prod_ZF_fun'] : % 0.07/6.00 ( iProver_Flat_'uvh$'(X0_'ZF_ZF_prod_ZF_set_fun',X0_'ZF_ZF_set_fun',X0_'ZF_ZF_prod_ZF_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_prod_ZF_set_fun'=iProver_Domain_'ZF_ZF_prod_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'vac$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat_ZF_bool_fun_fun',X0_'Nat_ZF_set_fun'] : % 0.07/6.00 ( iProver_Flat_'vac$'(X0_'Nat_ZF_bool_fun_fun',X0_'Nat_ZF_set_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'Nat_ZF_bool_fun_fun'=iProver_Domain_'Nat_ZF_bool_fun_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'fun_app$w' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set',X0_'ZF_nat_fun_ZF_set_fun',X0_'ZF_nat_fun'] : % 0.07/6.00 ( iProver_Flat_'fun_app$w'(X0_'ZF_set',X0_'ZF_nat_fun_ZF_set_fun',X0_'ZF_nat_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'vax$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat_ZF_fun_ZF_set_fun',X0_'ZF_nat_ZF_set_fun_fun'] : % 0.07/6.00 ( iProver_Flat_'vax$'(X0_'Nat_ZF_fun_ZF_set_fun',X0_'ZF_nat_ZF_set_fun_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'Nat_ZF_fun_ZF_set_fun'=iProver_Domain_'Nat_ZF_fun_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'image$an' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'B_set_set',X0_'B_b_set_fun',X0_'B_set'] : % 0.07/6.00 ( iProver_Flat_'image$an'(X0_'B_set_set',X0_'B_b_set_fun',X0_'B_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'B_set_set'=iProver_Domain_'B_set_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'obj$a' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext'] : % 0.07/6.00 ( iProver_Flat_'obj$a'(X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uwf$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set_bool_fun',X0_'Nat_ZF_set_fun',X0_'Nat_bool_fun'] : % 0.07/6.00 ( iProver_Flat_'uwf$'(X0_'ZF_set_bool_fun',X0_'Nat_ZF_set_fun',X0_'Nat_bool_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_set_bool_fun'=iProver_Domain_'ZF_set_bool_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uvr$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'B_bool_fun',X0_'B_b_fun',X0_'B_set',X1_'B_bool_fun'] : % 0.07/6.00 ( iProver_Flat_'uvr$'(X0_'B_bool_fun',X0_'B_b_fun',X0_'B_set',X1_'B_bool_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uwu$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set_bool_fun',X0_'ZF_ZF_set_fun'] : % 0.07/6.00 ( iProver_Flat_'uwu$'(X0_'ZF_set_bool_fun',X0_'ZF_ZF_set_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_set_bool_fun'=iProver_Domain_'ZF_set_bool_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'fun_app$aj' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF',X0_'Nat_ZF_fun',X0_'Nat'] : % 0.07/6.00 ( iProver_Flat_'fun_app$aj'(X0_'ZF',X0_'Nat_ZF_fun',X0_'Nat') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uzm$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat_ZF_set_fun',X0_'ZF_ZF_fun',X1_'Nat_ZF_set_fun'] : % 0.07/6.00 ( iProver_Flat_'uzm$'(X0_'Nat_ZF_set_fun',X0_'ZF_ZF_fun',X1_'Nat_ZF_set_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'fun_app$ct' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_set',X0_'B_a_set_fun',X0_'B'] : % 0.07/6.00 ( iProver_Flat_'fun_app$ct'(X0_'A_set',X0_'B_a_set_fun',X0_'B') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'A_set'=iProver_Domain_'A_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uvu$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_bool_fun',X0_'ZF_a_fun',X0_'ZF_set',X0_'A_bool_fun'] : % 0.07/6.00 ( iProver_Flat_'uvu$'(X0_'ZF_bool_fun',X0_'ZF_a_fun',X0_'ZF_set',X0_'A_bool_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uze$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat_ZF_set_fun',X0_'Nat_nat_ZF_set_fun_fun',X0_'Nat_set'] : % 0.07/6.00 ( iProver_Flat_'uze$'(X0_'Nat_ZF_set_fun',X0_'Nat_nat_ZF_set_fun_fun',X0_'Nat_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'zFfunCod$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_fun'] : % 0.07/6.00 ( iProver_Flat_'zFfunCod$'(X0_'ZF_ZF_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'image$ax' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat_set_set',X0_'Nat_nat_set_fun',X0_'Nat_set'] : % 0.07/6.00 ( iProver_Flat_'image$ax'(X0_'Nat_set_set',X0_'Nat_nat_set_fun',X0_'Nat_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'Nat_set_set'=iProver_Domain_'Nat_set_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uyl$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_bool_fun_fun',X0_'ZF'] : % 0.07/6.00 ( iProver_Flat_'uyl$'(X0_'ZF_ZF_bool_fun_fun',X0_'ZF') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_bool_fun_fun'=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'case_prod$l' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_prod_ZF_set_ZF_set_prod_fun',X0_'ZF_ZF_ZF_set_ZF_set_prod_fun_fun'] : % 0.07/6.00 ( iProver_Flat_'case_prod$l'(X0_'ZF_ZF_prod_ZF_set_ZF_set_prod_fun',X0_'ZF_ZF_ZF_set_ZF_set_prod_fun_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_prod_ZF_set_ZF_set_prod_fun'=iProver_Domain_'ZF_ZF_prod_ZF_set_ZF_set_prod_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uun$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_unit_Category_ext'] : % 0.07/6.00 ( iProver_Flat_'uun$'(X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'fun_app$cn' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set_set',X0_'ZF_set_set_ZF_set_set_fun',X1_'ZF_set_set'] : % 0.07/6.00 ( iProver_Flat_'fun_app$cn'(X0_'ZF_set_set',X0_'ZF_set_set_ZF_set_set_fun',X1_'ZF_set_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_set_set'=iProver_Domain_'ZF_set_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'image$bb' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set_set_set',X0_'ZF_ZF_set_set_fun',X0_'ZF_set'] : % 0.07/6.00 ( iProver_Flat_'image$bb'(X0_'ZF_set_set_set',X0_'ZF_ZF_set_set_fun',X0_'ZF_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_set_set_set'=iProver_Domain_'ZF_set_set_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uyg$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_ZF_ZF_prod_fun_fun',X0_'ZF_ZF_fun',X1_'ZF_ZF_fun'] : % 0.07/6.00 ( iProver_Flat_'uyg$'(X0_'ZF_ZF_ZF_ZF_prod_fun_fun',X0_'ZF_ZF_fun',X1_'ZF_ZF_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_ZF_ZF_prod_fun_fun'=iProver_Domain_'ZF_ZF_ZF_ZF_prod_fun_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uug$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_bool_fun_fun'] : % 0.07/6.00 ( iProver_Flat_'uug$'(X0_'ZF_ZF_bool_fun_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_bool_fun_fun'=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uzd$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_set_fun',X0_'Nat_ZF_ZF_set_fun_fun',X0_'Nat_set'] : % 0.07/6.00 ( iProver_Flat_'uzd$'(X0_'ZF_ZF_set_fun',X0_'Nat_ZF_ZF_set_fun_fun',X0_'Nat_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'var$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'Nat_ZF_set_fun',X0_'Nat_nat_ZF_set_fun_fun'] : % 0.07/6.00 ( iProver_Flat_'var$'(X0_'Nat_ZF_set_fun',X0_'Nat_nat_ZF_set_fun_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'homFtor$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A'] : % 0.07/6.00 ( iProver_Flat_'homFtor$'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'category_ext$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A_set',X0_'B_set',X0_'B_a_fun',X1_'B_a_fun',X0_'A_b_fun',X0_'B_b_b_fun_fun',X0_'B_c_LSCategory_ext'] : % 0.07/6.00 ( iProver_Flat_'category_ext$'(X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A_set',X0_'B_set',X0_'B_a_fun',X1_'B_a_fun',X0_'A_b_fun',X0_'B_b_b_fun_fun',X0_'B_c_LSCategory_ext') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'A_b_b_c_LSCategory_ext_Category_ext'=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uxk$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_bool_fun_fun',X0_'ZF_bool_fun',X1_'ZF_ZF_bool_fun_fun'] : % 0.07/6.00 ( iProver_Flat_'uxk$'(X0_'ZF_ZF_bool_fun_fun',X0_'ZF_bool_fun',X1_'ZF_ZF_bool_fun_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_bool_fun_fun'=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'vau$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_set_fun',X0_'ZF_ZF_ZF_set_fun_fun'] : % 0.07/6.00 ( iProver_Flat_'vau$'(X0_'ZF_ZF_set_fun',X0_'ZF_ZF_ZF_set_fun_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'fun_app$bm' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'A',X0_'A_a_fun',X1_'A'] : % 0.07/6.00 ( iProver_Flat_'fun_app$bm'(X0_'A',X0_'A_a_fun',X1_'A') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'A'=iProver_Domain_'A'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uxm$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun',X0_'ZF_ZF_set_fun',X0_'ZF_ZF_prod_ZF_fun'] : % 0.07/6.00 ( iProver_Flat_'uxm$'(X0_'ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun',X0_'ZF_ZF_set_fun',X0_'ZF_ZF_prod_ZF_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun'=iProver_Domain_'ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'vaf$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set_bool_fun',X0_'ZF_set_set_set'] : % 0.07/6.00 ( iProver_Flat_'vaf$'(X0_'ZF_set_bool_fun',X0_'ZF_set_set_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_set_bool_fun'=iProver_Domain_'ZF_set_bool_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'collect$b' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'B_b_prod_set',X0_'B_b_prod_bool_fun'] : % 0.07/6.00 ( iProver_Flat_'collect$b'(X0_'B_b_prod_set',X0_'B_b_prod_bool_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'B_b_prod_set'=iProver_Domain_'B_b_prod_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uvz$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_bool_fun',X0_'B_ZF_fun',X0_'B_set',X1_'ZF_bool_fun'] : % 0.07/6.00 ( iProver_Flat_'uvz$'(X0_'ZF_bool_fun',X0_'B_ZF_fun',X0_'B_set',X1_'ZF_bool_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'cod$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'B_a_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 0.07/6.00 ( iProver_Flat_'cod$'(X0_'B_a_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'B_a_fun'=iProver_Domain_'B_a_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'collect$d' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'B_ZF_fun_set',X0_'B_ZF_fun_bool_fun'] : % 0.07/6.00 ( iProver_Flat_'collect$d'(X0_'B_ZF_fun_set',X0_'B_ZF_fun_bool_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'B_ZF_fun_set'=iProver_Domain_'B_ZF_fun_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'fun_app$cy' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_set_set_ZF_ZF_prod_set_fun',X0_'ZF_ZF_prod_set_set'] : % 0.07/6.00 ( iProver_Flat_'fun_app$cy'(X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_set_set_ZF_ZF_prod_set_fun',X0_'ZF_ZF_prod_set_set') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'case_prod$e' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_nat_prod_ZF_set_ZF_set_prod_fun',X0_'ZF_nat_ZF_set_ZF_set_prod_fun_fun'] : % 0.07/6.00 ( iProver_Flat_'case_prod$e'(X0_'ZF_nat_prod_ZF_set_ZF_set_prod_fun',X0_'ZF_nat_ZF_set_ZF_set_prod_fun_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_nat_prod_ZF_set_ZF_set_prod_fun'=iProver_Domain_'ZF_nat_prod_ZF_set_ZF_set_prod_fun'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'sigma$a' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_set_ZF_set_prod_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_set_fun'] : % 0.07/6.00 ( iProver_Flat_'sigma$a'(X0_'ZF_set_ZF_set_prod_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_set_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_set_ZF_set_prod_set'=iProver_Domain_'ZF_set_ZF_set_prod_set'_1 ) % 0.07/6.00 ) % 0.07/6.00 % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ) % 0.07/6.00 ). % 0.07/6.00 % 0.07/6.00 %------ Positive definition of iProver_Flat_'uxg$' % 0.07/6.00 fof(lit_def,axiom, % 0.07/6.00 (! [X0_'ZF_ZF_bool_fun_fun',X0_'ZF_bool_fun',X1_'ZF_bool_fun'] : % 0.07/6.00 ( iProver_Flat_'uxg$'(X0_'ZF_ZF_bool_fun_fun',X0_'ZF_bool_fun',X1_'ZF_bool_fun') <=> % 0.07/6.00 ( % 0.07/6.00 ( % 0.07/6.00 ( X0_'ZF_ZF_bool_fun_fun'=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'set$a' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_unit_Category_ext'] : % 0.07/6.01 ( iProver_Flat_'set$a'(X0_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'collect$c' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_fun_set',X0_'ZF_ZF_fun_bool_fun'] : % 0.07/6.01 ( iProver_Flat_'collect$c'(X0_'ZF_ZF_fun_set',X0_'ZF_ZF_fun_bool_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_fun_set'=iProver_Domain_'ZF_ZF_fun_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uxp$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_nat_ZF_set_ZF_set_prod_fun_fun',X0_'ZF_ZF_set_fun',X0_'Nat_ZF_set_fun'] : % 0.07/6.01 ( iProver_Flat_'uxp$'(X0_'ZF_nat_ZF_set_ZF_set_prod_fun_fun',X0_'ZF_ZF_set_fun',X0_'Nat_ZF_set_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_nat_ZF_set_ZF_set_prod_fun_fun'=iProver_Domain_'ZF_nat_ZF_set_ZF_set_prod_fun_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'relImage$a' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_set_ZF_set_prod_set',X0_'Nat_nat_prod_set',X0_'Nat_ZF_set_fun'] : % 0.07/6.01 ( iProver_Flat_'relImage$a'(X0_'ZF_set_ZF_set_prod_set',X0_'Nat_nat_prod_set',X0_'Nat_ZF_set_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_set_ZF_set_prod_set'=iProver_Domain_'ZF_set_ZF_set_prod_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'sigma$h' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_set_prod_set',X0_'ZF_set',X0_'ZF_ZF_set_set_fun'] : % 0.07/6.01 ( iProver_Flat_'sigma$h'(X0_'ZF_ZF_set_prod_set',X0_'ZF_set',X0_'ZF_ZF_set_set_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_set_prod_set'=iProver_Domain_'ZF_ZF_set_prod_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'mapM$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'B_ZF_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 0.07/6.01 ( iProver_Flat_'mapM$'(X0_'B_ZF_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'B_ZF_fun'=iProver_Domain_'B_ZF_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'obj$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'A_set',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 0.07/6.01 ( iProver_Flat_'obj$'(X0_'A_set',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'A_set'=iProver_Domain_'A_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'inverse$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'B_b_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 0.07/6.01 ( iProver_Flat_'inverse$'(X0_'B_b_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'B_b_fun'=iProver_Domain_'B_b_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uxq$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_nat_set_fun',X0_'Nat_set'] : % 0.07/6.01 ( iProver_Flat_'uxq$'(X0_'ZF_nat_set_fun',X0_'Nat_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_nat_set_fun'=iProver_Domain_'ZF_nat_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uxo$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_set_ZF_set_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_set'] : % 0.07/6.01 ( iProver_Flat_'uxo$'(X0_'ZF_set_ZF_set_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_set_ZF_set_fun'=iProver_Domain_'ZF_set_ZF_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uvv$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'B_bool_fun',X0_'ZF_b_fun',X0_'ZF_set',X1_'B_bool_fun'] : % 0.07/6.01 ( iProver_Flat_'uvv$'(X0_'B_bool_fun',X0_'ZF_b_fun',X0_'ZF_set',X1_'B_bool_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$bc' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'Nat_set',X0_'ZF_nat_set_fun',X0_'ZF'] : % 0.07/6.01 ( iProver_Flat_'fun_app$bc'(X0_'Nat_set',X0_'ZF_nat_set_fun',X0_'ZF') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'Nat_set'=iProver_Domain_'Nat_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'collect$j' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_set_set',X0_'ZF_set_bool_fun'] : % 0.07/6.01 ( iProver_Flat_'collect$j'(X0_'ZF_set_set',X0_'ZF_set_bool_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_set_set'=iProver_Domain_'ZF_set_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uud$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'B_b_b_fun_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 0.07/6.01 ( iProver_Flat_'uud$'(X0_'B_b_b_fun_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'B_b_b_fun_fun'=iProver_Domain_'B_b_b_fun_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$cd' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_set_ZF_set_prod_fun',X0_'Nat_ZF_ZF_set_ZF_set_prod_fun_fun',X0_'Nat'] : % 0.07/6.01 ( iProver_Flat_'fun_app$cd'(X0_'ZF_ZF_set_ZF_set_prod_fun',X0_'Nat_ZF_ZF_set_ZF_set_prod_fun_fun',X0_'Nat') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_set_ZF_set_prod_fun'=iProver_Domain_'ZF_ZF_set_ZF_set_prod_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$cc' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_prod_ZF_set_ZF_prod_fun',X0_'Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun',X0_'Nat'] : % 0.07/6.01 ( iProver_Flat_'fun_app$cc'(X0_'ZF_ZF_prod_ZF_set_ZF_prod_fun',X0_'Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun',X0_'Nat') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_prod_ZF_set_ZF_prod_fun'=iProver_Domain_'ZF_ZF_prod_ZF_set_ZF_prod_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uzu$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_ZF_ZF_prod_set_fun_fun',X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun'] : % 0.07/6.01 ( iProver_Flat_'uzu$'(X0_'ZF_ZF_ZF_ZF_prod_set_fun_fun',X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_ZF_ZF_prod_set_fun_fun'=iProver_Domain_'ZF_ZF_ZF_ZF_prod_set_fun_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'vam$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'Nat_ZF_set_fun',X0_'ZF_nat_ZF_set_fun_fun',X0_'Nat_ZF_fun'] : % 0.07/6.01 ( iProver_Flat_'vam$'(X0_'Nat_ZF_set_fun',X0_'ZF_nat_ZF_set_fun_fun',X0_'Nat_ZF_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uvc$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_set_fun',X0_'ZF_set_ZF_set_fun',X1_'ZF_ZF_set_fun'] : % 0.07/6.01 ( iProver_Flat_'uvc$'(X0_'ZF_ZF_set_fun',X0_'ZF_set_ZF_set_fun',X1_'ZF_ZF_set_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$ad' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_set_fun',X0_'ZF_ZF_ZF_set_fun_fun',X0_'ZF'] : % 0.07/6.01 ( iProver_Flat_'fun_app$ad'(X0_'ZF_ZF_set_fun',X0_'ZF_ZF_ZF_set_fun_fun',X0_'ZF') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'constFunctor$e' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext',X1_'ZF_ZF_unit_Category_ext',X0_'ZF'] : % 0.07/6.01 ( iProver_Flat_'constFunctor$e'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext',X1_'ZF_ZF_unit_Category_ext',X0_'ZF') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$be' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF',X0_'ZF_set_ZF_fun',X0_'ZF_set'] : % 0.07/6.01 ( iProver_Flat_'fun_app$be'(X0_'ZF',X0_'ZF_set_ZF_fun',X0_'ZF_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uza$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'Nat_ZF_set_fun',X0_'ZF_nat_ZF_set_fun_fun',X0_'ZF_set'] : % 0.07/6.01 ( iProver_Flat_'uza$'(X0_'Nat_ZF_set_fun',X0_'ZF_nat_ZF_set_fun_fun',X0_'ZF_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'mapsTo$a' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_bool_fun_fun',X0_'ZF_ZF_unit_Category_ext',X0_'ZF'] : % 0.07/6.01 ( iProver_Flat_'mapsTo$a'(X0_'ZF_ZF_bool_fun_fun',X0_'ZF_ZF_unit_Category_ext',X0_'ZF') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_bool_fun_fun'=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'image$aq' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_set_set',X0_'A_ZF_set_fun',X0_'A_set'] : % 0.07/6.01 ( iProver_Flat_'image$aq'(X0_'ZF_set_set',X0_'A_ZF_set_fun',X0_'A_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_set_set'=iProver_Domain_'ZF_set_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$bd' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'Nat_set',X0_'Nat_nat_set_fun',X0_'Nat'] : % 0.07/6.01 ( iProver_Flat_'fun_app$bd'(X0_'Nat_set',X0_'Nat_nat_set_fun',X0_'Nat') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'Nat_set'=iProver_Domain_'Nat_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$bp' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'Nat_ZF_ZF_prod_set_fun',X0_'ZF_nat_ZF_ZF_prod_set_fun_fun',X0_'ZF'] : % 0.07/6.01 ( iProver_Flat_'fun_app$bp'(X0_'Nat_ZF_ZF_prod_set_fun',X0_'ZF_nat_ZF_ZF_prod_set_fun_fun',X0_'ZF') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'Nat_ZF_ZF_prod_set_fun'=iProver_Domain_'Nat_ZF_ZF_prod_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uvp$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'B_bool_fun',X0_'A_b_fun',X0_'A_set',X1_'B_bool_fun'] : % 0.07/6.01 ( iProver_Flat_'uvp$'(X0_'B_bool_fun',X0_'A_b_fun',X0_'A_set',X1_'B_bool_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$bi' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'A',X0_'ZF_a_fun',X0_'ZF'] : % 0.07/6.01 ( iProver_Flat_'fun_app$bi'(X0_'A',X0_'ZF_a_fun',X0_'ZF') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'A'=iProver_Domain_'A'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'image$al' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'B_set_set',X0_'A_b_set_fun',X0_'A_set'] : % 0.07/6.01 ( iProver_Flat_'image$al'(X0_'B_set_set',X0_'A_b_set_fun',X0_'A_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'B_set_set'=iProver_Domain_'B_set_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'case_prod$f' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_prod_ZF_prod_ZF_ZF_set_prod_fun',X0_'ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun'] : % 0.07/6.01 ( iProver_Flat_'case_prod$f'(X0_'ZF_ZF_prod_ZF_prod_ZF_ZF_set_prod_fun',X0_'ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_prod_ZF_prod_ZF_ZF_set_prod_fun'=iProver_Domain_'ZF_ZF_prod_ZF_prod_ZF_ZF_set_prod_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'sup$g' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'A_bool_fun',X0_'A_bool_fun_set'] : % 0.07/6.01 ( iProver_Flat_'sup$g'(X0_'A_bool_fun',X0_'A_bool_fun_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'A_bool_fun'=iProver_Domain_'A_bool_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'homFtorContra$a' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A'] : % 0.07/6.01 ( iProver_Flat_'homFtorContra$a'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uyz$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'Nat_ZF_ZF_set_fun_fun',X0_'ZF_nat_ZF_set_fun_fun'] : % 0.07/6.01 ( iProver_Flat_'uyz$'(X0_'Nat_ZF_ZF_set_fun_fun',X0_'ZF_nat_ZF_set_fun_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'Nat_ZF_ZF_set_fun_fun'=iProver_Domain_'Nat_ZF_ZF_set_fun_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uxd$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_nat_set_fun'] : % 0.07/6.01 ( iProver_Flat_'uxd$'(X0_'ZF_nat_set_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_nat_set_fun'=iProver_Domain_'ZF_nat_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$u' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_set',X0_'ZF_set_set_ZF_set_fun',X0_'ZF_set_set'] : % 0.07/6.01 ( iProver_Flat_'fun_app$u'(X0_'ZF_set',X0_'ZF_set_set_ZF_set_fun',X0_'ZF_set_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'inf$a' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'A_set',X0_'A_set_set'] : % 0.07/6.01 ( iProver_Flat_'inf$a'(X0_'A_set',X0_'A_set_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'A_set'=iProver_Domain_'A_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$db' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_set_set_set',X0_'Nat_set_set_ZF_set_set_set_fun',X0_'Nat_set_set'] : % 0.07/6.01 ( iProver_Flat_'fun_app$db'(X0_'ZF_set_set_set',X0_'Nat_set_set_ZF_set_set_set_fun',X0_'Nat_set_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_set_set_set'=iProver_Domain_'ZF_set_set_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uzw$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_bool_fun_fun',X1_'ZF_ZF_bool_fun_fun'] : % 0.07/6.01 ( iProver_Flat_'uzw$'(X0_'ZF_ZF_bool_fun_fun',X1_'ZF_ZF_bool_fun_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_bool_fun_fun'=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'image$r' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_set',X0_'Nat_ZF_fun',X0_'Nat_set'] : % 0.07/6.01 ( iProver_Flat_'image$r'(X0_'ZF_set',X0_'Nat_ZF_fun',X0_'Nat_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'image$ak' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'A_set_set',X0_'A_a_set_fun',X0_'A_set'] : % 0.07/6.01 ( iProver_Flat_'image$ak'(X0_'A_set_set',X0_'A_a_set_fun',X0_'A_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'A_set_set'=iProver_Domain_'A_set_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'zFfunComp$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_ZF_fun_fun'] : % 0.07/6.01 ( iProver_Flat_'zFfunComp$'(X0_'ZF_ZF_ZF_fun_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'compDefined$a' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'B_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B'] : % 0.07/6.01 ( iProver_Flat_'compDefined$a'(X0_'B_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'the$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF',X0_'ZF_bool_fun'] : % 0.07/6.01 ( iProver_Flat_'the$'(X0_'ZF',X0_'ZF_bool_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'constFunctor$a' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'ZF_ZF_unit_Category_ext',X0_'ZF'] : % 0.07/6.01 ( iProver_Flat_'constFunctor$a'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'ZF_ZF_unit_Category_ext',X0_'ZF') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'image$ag' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_set_ZF_prod_set',X0_'Nat_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun',X0_'Nat_ZF_ZF_prod_prod_set'] : % 0.07/6.01 ( iProver_Flat_'image$ag'(X0_'ZF_set_ZF_prod_set',X0_'Nat_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun',X0_'Nat_ZF_ZF_prod_prod_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_set_ZF_prod_set'=iProver_Domain_'ZF_set_ZF_prod_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uwb$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_bool_fun',X0_'ZF_ZF_fun',X0_'ZF_set',X1_'ZF_bool_fun'] : % 0.07/6.01 ( iProver_Flat_'uwb$'(X0_'ZF_bool_fun',X0_'ZF_ZF_fun',X0_'ZF_set',X1_'ZF_bool_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$a' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun'] : % 0.07/6.01 ( iProver_Flat_'fun_app$a'(X0_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uvw$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_bool_fun',X0_'ZF_b_fun',X0_'ZF_set',X0_'B_bool_fun'] : % 0.07/6.01 ( iProver_Flat_'uvw$'(X0_'ZF_bool_fun',X0_'ZF_b_fun',X0_'ZF_set',X0_'B_bool_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'vap$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_set_fun',X0_'Nat_ZF_ZF_set_fun_fun',X0_'ZF_nat_fun'] : % 0.07/6.01 ( iProver_Flat_'vap$'(X0_'ZF_ZF_set_fun',X0_'Nat_ZF_ZF_set_fun_fun',X0_'ZF_nat_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$as' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'B',X0_'ZF_b_fun',X0_'ZF'] : % 0.07/6.01 ( iProver_Flat_'fun_app$as'(X0_'B',X0_'ZF_b_fun',X0_'ZF') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'B'=iProver_Domain_'B'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uzf$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'Nat_nat_ZF_set_fun_fun',X1_'Nat_nat_ZF_set_fun_fun'] : % 0.07/6.01 ( iProver_Flat_'uzf$'(X0_'Nat_nat_ZF_set_fun_fun',X1_'Nat_nat_ZF_set_fun_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'Nat_nat_ZF_set_fun_fun'=iProver_Domain_'Nat_nat_ZF_set_fun_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'image$ad' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_set_prod_set',X0_'ZF_ZF_prod_ZF_prod_ZF_ZF_set_prod_fun',X0_'ZF_ZF_prod_ZF_prod_set'] : % 0.07/6.01 ( iProver_Flat_'image$ad'(X0_'ZF_ZF_set_prod_set',X0_'ZF_ZF_prod_ZF_prod_ZF_ZF_set_prod_fun',X0_'ZF_ZF_prod_ZF_prod_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_set_prod_set'=iProver_Domain_'ZF_ZF_set_prod_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uxv$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_prod_nat_set_fun',X0_'Nat_set'] : % 0.07/6.01 ( iProver_Flat_'uxv$'(X0_'ZF_ZF_prod_nat_set_fun',X0_'Nat_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_prod_nat_set_fun'=iProver_Domain_'ZF_ZF_prod_nat_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$af' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_set',X0_'Nat_set_ZF_set_fun',X0_'Nat_set'] : % 0.07/6.01 ( iProver_Flat_'fun_app$af'(X0_'ZF_set',X0_'Nat_set_ZF_set_fun',X0_'Nat_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'image$g' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_set_ZF_set_fun',X0_'ZF_ZF_fun'] : % 0.07/6.01 ( iProver_Flat_'image$g'(X0_'ZF_set_ZF_set_fun',X0_'ZF_ZF_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_set_ZF_set_fun'=iProver_Domain_'ZF_set_ZF_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$bh' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'A_set',X0_'A_set_a_set_fun',X1_'A_set'] : % 0.07/6.01 ( iProver_Flat_'fun_app$bh'(X0_'A_set',X0_'A_set_a_set_fun',X1_'A_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'A_set'=iProver_Domain_'A_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'vag$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_bool_fun',X0_'ZF_set_set'] : % 0.07/6.01 ( iProver_Flat_'vag$'(X0_'ZF_bool_fun',X0_'ZF_set_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uxr$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_set_fun'] : % 0.07/6.01 ( iProver_Flat_'uxr$'(X0_'ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_set_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun'=iProver_Domain_'ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$br' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_prod_ZF_ZF_prod_fun',X0_'ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun',X0_'ZF_ZF_prod'] : % 0.07/6.01 ( iProver_Flat_'fun_app$br'(X0_'ZF_ZF_prod_ZF_ZF_prod_fun',X0_'ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun',X0_'ZF_ZF_prod') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_prod_ZF_ZF_prod_fun'=iProver_Domain_'ZF_ZF_prod_ZF_ZF_prod_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$bx' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_prod_ZF_set_ZF_prod_fun',X0_'ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun',X0_'ZF'] : % 0.07/6.01 ( iProver_Flat_'fun_app$bx'(X0_'ZF_ZF_prod_ZF_set_ZF_prod_fun',X0_'ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun',X0_'ZF') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_prod_ZF_set_ZF_prod_fun'=iProver_Domain_'ZF_ZF_prod_ZF_set_ZF_prod_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'case_prod$m' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_nat_prod_ZF_ZF_prod_set_fun',X0_'ZF_nat_ZF_ZF_prod_set_fun_fun'] : % 0.07/6.01 ( iProver_Flat_'case_prod$m'(X0_'ZF_nat_prod_ZF_ZF_prod_set_fun',X0_'ZF_nat_ZF_ZF_prod_set_fun_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_nat_prod_ZF_ZF_prod_set_fun'=iProver_Domain_'ZF_nat_prod_ZF_ZF_prod_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'case_prod$c' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_prod_ZF_ZF_prod_fun',X0_'ZF_ZF_ZF_ZF_prod_fun_fun'] : % 0.07/6.01 ( iProver_Flat_'case_prod$c'(X0_'ZF_ZF_prod_ZF_ZF_prod_fun',X0_'ZF_ZF_ZF_ZF_prod_fun_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_prod_ZF_ZF_prod_fun'=iProver_Domain_'ZF_ZF_prod_ZF_ZF_prod_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'gr$c' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_prod_set',X0_'ZF_set',X0_'ZF_ZF_fun'] : % 0.07/6.01 ( iProver_Flat_'gr$c'(X0_'ZF_ZF_prod_set',X0_'ZF_set',X0_'ZF_ZF_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uvm$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'A_bool_fun',X0_'A_a_fun',X0_'A_set',X1_'A_bool_fun'] : % 0.07/6.01 ( iProver_Flat_'uvm$'(X0_'A_bool_fun',X0_'A_a_fun',X0_'A_set',X1_'A_bool_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'A_bool_fun'=iProver_Domain_'A_bool_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uvf$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun',X0_'ZF_ZF_fun'] : % 0.07/6.01 ( iProver_Flat_'uvf$'(X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun',X0_'ZF_ZF_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'vaq$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_nat_fun_ZF_set_fun',X0_'Nat_ZF_ZF_set_fun_fun'] : % 0.07/6.01 ( iProver_Flat_'vaq$'(X0_'ZF_nat_fun_ZF_set_fun',X0_'Nat_ZF_ZF_set_fun_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_nat_fun_ZF_set_fun'=iProver_Domain_'ZF_nat_fun_ZF_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uwn$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_bool_fun',X0_'B_ZF_fun',X0_'B_set'] : % 0.07/6.01 ( iProver_Flat_'uwn$'(X0_'ZF_bool_fun',X0_'B_ZF_fun',X0_'B_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'identityFunctor$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 0.07/6.01 ( iProver_Flat_'identityFunctor$'(X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext'=iProver_Domain_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'image$i' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'A_set',X0_'ZF_a_fun',X0_'ZF_set'] : % 0.07/6.01 ( iProver_Flat_'image$i'(X0_'A_set',X0_'ZF_a_fun',X0_'ZF_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'A_set'=iProver_Domain_'A_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'lSCategory_ext$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'B_c_LSCategory_ext',X0_'B_ZF_fun',X0_'C'] : % 0.07/6.01 ( iProver_Flat_'lSCategory_ext$'(X0_'B_c_LSCategory_ext',X0_'B_ZF_fun',X0_'C') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'B_c_LSCategory_ext'=iProver_Domain_'B_c_LSCategory_ext'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'identityFunctor$a' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext'] : % 0.07/6.01 ( iProver_Flat_'identityFunctor$a'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'top$a' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_set'] : % 0.07/6.01 ( iProver_Flat_'top$a'(X0_'ZF_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$ar' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF',X0_'B_ZF_fun',X0_'B'] : % 0.07/6.01 ( iProver_Flat_'fun_app$ar'(X0_'ZF',X0_'B_ZF_fun',X0_'B') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'restrict$b' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'B_a_fun',X1_'B_a_fun',X0_'B_set'] : % 0.07/6.01 ( iProver_Flat_'restrict$b'(X0_'B_a_fun',X1_'B_a_fun',X0_'B_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'B_a_fun'=iProver_Domain_'B_a_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$d' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_prod',X0_'ZF_ZF_ZF_prod_fun',X0_'ZF'] : % 0.07/6.01 ( iProver_Flat_'fun_app$d'(X0_'ZF_ZF_prod',X0_'ZF_ZF_ZF_prod_fun',X0_'ZF') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_prod'=iProver_Domain_'ZF_ZF_prod'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$cp' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'A',X0_'Nat_a_fun',X0_'Nat'] : % 0.07/6.01 ( iProver_Flat_'fun_app$cp'(X0_'A',X0_'Nat_a_fun',X0_'Nat') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'A'=iProver_Domain_'A'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uyw$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_ZF_set_fun_fun',X1_'ZF_ZF_ZF_set_fun_fun'] : % 0.07/6.01 ( iProver_Flat_'uyw$'(X0_'ZF_ZF_ZF_set_fun_fun',X1_'ZF_ZF_ZF_set_fun_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_ZF_set_fun_fun'=iProver_Domain_'ZF_ZF_ZF_set_fun_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'image$c' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'Bool_set',X0_'ZF_set_set_bool_fun',X0_'ZF_set_set_set'] : % 0.07/6.01 ( iProver_Flat_'image$c'(X0_'Bool_set',X0_'ZF_set_set_bool_fun',X0_'ZF_set_set_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'Bool_set'=iProver_Domain_'Bool_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'inverse_rel$a' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_bool_fun_fun',X0_'ZF_ZF_unit_Category_ext'] : % 0.07/6.01 ( iProver_Flat_'inverse_rel$a'(X0_'ZF_ZF_bool_fun_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_bool_fun_fun'=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'image$x' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'A_set',X0_'Nat_a_fun',X0_'Nat_set'] : % 0.07/6.01 ( iProver_Flat_'image$x'(X0_'A_set',X0_'Nat_a_fun',X0_'Nat_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'A_set'=iProver_Domain_'A_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'case_prod$d' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun',X0_'ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun'] : % 0.07/6.01 ( iProver_Flat_'case_prod$d'(X0_'ZF_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun',X0_'ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun'=iProver_Domain_'ZF_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'case_prod$g' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_prod_nat_prod_ZF_ZF_set_prod_fun',X0_'ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun'] : % 0.07/6.01 ( iProver_Flat_'case_prod$g'(X0_'ZF_ZF_prod_nat_prod_ZF_ZF_set_prod_fun',X0_'ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_prod_nat_prod_ZF_ZF_set_prod_fun'=iProver_Domain_'ZF_ZF_prod_nat_prod_ZF_ZF_set_prod_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uvy$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'A_bool_fun',X0_'A_ZF_fun',X0_'A_set',X0_'ZF_bool_fun'] : % 0.07/6.01 ( iProver_Flat_'uvy$'(X0_'A_bool_fun',X0_'A_ZF_fun',X0_'A_set',X0_'ZF_bool_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'A_bool_fun'=iProver_Domain_'A_bool_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$ab' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'Nat_ZF_set_fun',X0_'ZF_nat_ZF_set_fun_fun',X0_'ZF'] : % 0.07/6.01 ( iProver_Flat_'fun_app$ab'(X0_'Nat_ZF_set_fun',X0_'ZF_nat_ZF_set_fun_fun',X0_'ZF') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'vai$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_set_fun',X0_'ZF_ZF_ZF_set_fun_fun'] : % 0.07/6.01 ( iProver_Flat_'vai$'(X0_'ZF_ZF_set_fun',X0_'ZF_ZF_ZF_set_fun_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'van$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'Nat_ZF_fun_ZF_set_fun',X0_'ZF_nat_ZF_set_fun_fun'] : % 0.07/6.01 ( iProver_Flat_'van$'(X0_'Nat_ZF_fun_ZF_set_fun',X0_'ZF_nat_ZF_set_fun_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'Nat_ZF_fun_ZF_set_fun'=iProver_Domain_'Nat_ZF_fun_ZF_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uvq$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'A_bool_fun',X0_'A_b_fun',X0_'A_set',X0_'B_bool_fun'] : % 0.07/6.01 ( iProver_Flat_'uvq$'(X0_'A_bool_fun',X0_'A_b_fun',X0_'A_set',X0_'B_bool_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'A_bool_fun'=iProver_Domain_'A_bool_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uxu$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'Nat_ZF_set_fun'] : % 0.07/6.01 ( iProver_Flat_'uxu$'(X0_'ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'Nat_ZF_set_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun'=iProver_Domain_'ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'member$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_set_bool_fun',X0_'ZF'] : % 0.07/6.01 ( iProver_Flat_'member$'(X0_'ZF_set_bool_fun',X0_'ZF') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_set_bool_fun'=iProver_Domain_'ZF_set_bool_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uyn$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_set_ZF_set_fun'] : % 0.07/6.01 ( iProver_Flat_'uyn$'(X0_'ZF_set_ZF_set_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_set_ZF_set_fun'=iProver_Domain_'ZF_set_ZF_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'vat$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'Nat_nat_fun_ZF_set_fun',X0_'Nat_nat_ZF_set_fun_fun'] : % 0.07/6.01 ( iProver_Flat_'vat$'(X0_'Nat_nat_fun_ZF_set_fun',X0_'Nat_nat_ZF_set_fun_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'Nat_nat_fun_ZF_set_fun'=iProver_Domain_'Nat_nat_fun_ZF_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$cu' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'B_set',X0_'B_b_set_fun',X0_'B'] : % 0.07/6.01 ( iProver_Flat_'fun_app$cu'(X0_'B_set',X0_'B_b_set_fun',X0_'B') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uwe$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_set_bool_fun',X0_'ZF_set_a_fun',X0_'ZF_set_set',X0_'A_bool_fun'] : % 0.07/6.01 ( iProver_Flat_'uwe$'(X0_'ZF_set_bool_fun',X0_'ZF_set_a_fun',X0_'ZF_set_set',X0_'A_bool_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_set_bool_fun'=iProver_Domain_'ZF_set_bool_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uum$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'B_b_b_fun_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 0.07/6.01 ( iProver_Flat_'uum$'(X0_'B_b_b_fun_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'B_b_b_fun_fun'=iProver_Domain_'B_b_b_fun_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uyx$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_set_fun',X0_'ZF_ZF_ZF_set_fun_fun',X0_'ZF_set'] : % 0.07/6.01 ( iProver_Flat_'uyx$'(X0_'ZF_ZF_set_fun',X0_'ZF_ZF_ZF_set_fun_fun',X0_'ZF_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'image$b' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'Bool_set',X0_'ZF_set_bool_fun',X0_'ZF_set_set'] : % 0.07/6.01 ( iProver_Flat_'image$b'(X0_'Bool_set',X0_'ZF_set_bool_fun',X0_'ZF_set_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'Bool_set'=iProver_Domain_'Bool_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uwo$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_bool_fun',X0_'ZF_ZF_fun',X0_'ZF_set'] : % 0.07/6.01 ( iProver_Flat_'uwo$'(X0_'ZF_bool_fun',X0_'ZF_ZF_fun',X0_'ZF_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uya$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'Nat_ZF_ZF_prod_set_fun',X0_'ZF_ZF_prod_set'] : % 0.07/6.01 ( iProver_Flat_'uya$'(X0_'Nat_ZF_ZF_prod_set_fun',X0_'ZF_ZF_prod_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'Nat_ZF_ZF_prod_set_fun'=iProver_Domain_'Nat_ZF_ZF_prod_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'collect$f' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'A_b_fun_set',X0_'A_b_fun_bool_fun'] : % 0.07/6.01 ( iProver_Flat_'collect$f'(X0_'A_b_fun_set',X0_'A_b_fun_bool_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'A_b_fun_set'=iProver_Domain_'A_b_fun_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'relInvImage$a' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'Nat_nat_prod_set',X0_'Nat_set',X0_'ZF_set_ZF_set_prod_set',X0_'Nat_ZF_set_fun'] : % 0.07/6.01 ( iProver_Flat_'relInvImage$a'(X0_'Nat_nat_prod_set',X0_'Nat_set',X0_'ZF_set_ZF_set_prod_set',X0_'Nat_ZF_set_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'Nat_nat_prod_set'=iProver_Domain_'Nat_nat_prod_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uxs$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_prod_ZF_set_fun',X0_'ZF_set'] : % 0.07/6.01 ( iProver_Flat_'uxs$'(X0_'ZF_ZF_prod_ZF_set_fun',X0_'ZF_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_prod_ZF_set_fun'=iProver_Domain_'ZF_ZF_prod_ZF_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'hOMCollection$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'A_ZF_set_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A'] : % 0.07/6.01 ( iProver_Flat_'hOMCollection$'(X0_'A_ZF_set_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'A_ZF_set_fun'=iProver_Domain_'A_ZF_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'image$y' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'B_set',X0_'Nat_b_fun',X0_'Nat_set'] : % 0.07/6.01 ( iProver_Flat_'image$y'(X0_'B_set',X0_'Nat_b_fun',X0_'Nat_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'case_prod$h' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'Nat_ZF_prod_ZF_set_ZF_set_prod_fun',X0_'Nat_ZF_ZF_set_ZF_set_prod_fun_fun'] : % 0.07/6.01 ( iProver_Flat_'case_prod$h'(X0_'Nat_ZF_prod_ZF_set_ZF_set_prod_fun',X0_'Nat_ZF_ZF_set_ZF_set_prod_fun_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'Nat_ZF_prod_ZF_set_ZF_set_prod_fun'=iProver_Domain_'Nat_ZF_prod_ZF_set_ZF_set_prod_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'image$ab' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_set_ZF_prod_set',X0_'ZF_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun',X0_'ZF_ZF_ZF_prod_prod_set'] : % 0.07/6.01 ( iProver_Flat_'image$ab'(X0_'ZF_set_ZF_prod_set',X0_'ZF_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun',X0_'ZF_ZF_ZF_prod_prod_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_set_ZF_prod_set'=iProver_Domain_'ZF_set_ZF_prod_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$s' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_set',X0_'ZF_ZF_set_fun',X0_'ZF'] : % 0.07/6.01 ( iProver_Flat_'fun_app$s'(X0_'ZF_set',X0_'ZF_ZF_set_fun',X0_'ZF') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'vaa$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'Nat_ZF_set_fun',X0_'ZF_nat_bool_fun_fun'] : % 0.07/6.01 ( iProver_Flat_'vaa$'(X0_'Nat_ZF_set_fun',X0_'ZF_nat_bool_fun_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uyi$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_set_set_fun',X0_'ZF_set_set'] : % 0.07/6.01 ( iProver_Flat_'uyi$'(X0_'ZF_ZF_set_set_fun',X0_'ZF_set_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_set_set_fun'=iProver_Domain_'ZF_ZF_set_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$cq' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'B',X0_'Nat_b_fun',X0_'Nat'] : % 0.07/6.01 ( iProver_Flat_'fun_app$cq'(X0_'B',X0_'Nat_b_fun',X0_'Nat') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'B'=iProver_Domain_'B'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$ae' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set'] : % 0.07/6.01 ( iProver_Flat_'fun_app$ae'(X0_'ZF_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'swap$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_prod_ZF_ZF_prod_fun'] : % 0.07/6.01 ( iProver_Flat_'swap$'(X0_'ZF_ZF_prod_ZF_ZF_prod_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_prod_ZF_ZF_prod_fun'=iProver_Domain_'ZF_ZF_prod_ZF_ZF_prod_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'inverse$a' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext'] : % 0.07/6.01 ( iProver_Flat_'inverse$a'(X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'mapO$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'A_ZF_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 0.07/6.01 ( iProver_Flat_'mapO$'(X0_'A_ZF_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'A_ZF_fun'=iProver_Domain_'A_ZF_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$y' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_set',X0_'Nat_ZF_fun_ZF_set_fun',X0_'Nat_ZF_fun'] : % 0.07/6.01 ( iProver_Flat_'fun_app$y'(X0_'ZF_set',X0_'Nat_ZF_fun_ZF_set_fun',X0_'Nat_ZF_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'image$ap' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'B_set_set',X0_'ZF_b_set_fun',X0_'ZF_set'] : % 0.07/6.01 ( iProver_Flat_'image$ap'(X0_'B_set_set',X0_'ZF_b_set_fun',X0_'ZF_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'B_set_set'=iProver_Domain_'B_set_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uxe$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'Nat_ZF_set_fun'] : % 0.07/6.01 ( iProver_Flat_'uxe$'(X0_'Nat_ZF_set_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$bu' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_set_prod',X0_'Nat_ZF_ZF_set_prod_fun',X0_'Nat'] : % 0.07/6.01 ( iProver_Flat_'fun_app$bu'(X0_'ZF_ZF_set_prod',X0_'Nat_ZF_ZF_set_prod_fun',X0_'Nat') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_set_prod'=iProver_Domain_'ZF_ZF_set_prod'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$bg' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'B_set',X0_'B_set_b_set_fun',X1_'B_set'] : % 0.07/6.01 ( iProver_Flat_'fun_app$bg'(X0_'B_set',X0_'B_set_b_set_fun',X1_'B_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$bo' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_ZF_prod_set_fun',X0_'Nat_ZF_ZF_ZF_prod_set_fun_fun',X0_'Nat'] : % 0.07/6.01 ( iProver_Flat_'fun_app$bo'(X0_'ZF_ZF_ZF_prod_set_fun',X0_'Nat_ZF_ZF_ZF_prod_set_fun_fun',X0_'Nat') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_ZF_prod_set_fun'=iProver_Domain_'ZF_ZF_ZF_prod_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'category_ext$a' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_unit_Category_ext',X0_'ZF_set',X1_'ZF_set',X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X2_'ZF_ZF_fun',X0_'ZF_ZF_ZF_fun_fun',X0_'Unit'] : % 0.07/6.01 ( iProver_Flat_'category_ext$a'(X0_'ZF_ZF_unit_Category_ext',X0_'ZF_set',X1_'ZF_set',X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X2_'ZF_ZF_fun',X0_'ZF_ZF_ZF_fun_fun',X0_'Unit') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uyo$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_set_ZF_ZF_prod_set_fun',X0_'ZF_ZF_set_fun'] : % 0.07/6.01 ( iProver_Flat_'uyo$'(X0_'ZF_set_ZF_ZF_prod_set_fun',X0_'ZF_ZF_set_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_set_ZF_ZF_prod_set_fun'=iProver_Domain_'ZF_set_ZF_ZF_prod_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'homFtorMap$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'B_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A'] : % 0.07/6.01 ( iProver_Flat_'homFtorMap$'(X0_'B_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'B_ZF_fun'=iProver_Domain_'B_ZF_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uzt$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'Nat_nat_ZF_ZF_prod_set_fun_fun',X0_'Nat_ZF_set_fun',X1_'Nat_ZF_set_fun'] : % 0.07/6.01 ( iProver_Flat_'uzt$'(X0_'Nat_nat_ZF_ZF_prod_set_fun_fun',X0_'Nat_ZF_set_fun',X1_'Nat_ZF_set_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'Nat_nat_ZF_ZF_prod_set_fun_fun'=iProver_Domain_'Nat_nat_ZF_ZF_prod_set_fun_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uuq$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B'] : % 0.07/6.01 ( iProver_Flat_'uuq$'(X0_'ZF_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uxf$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'Nat_nat_set_fun'] : % 0.07/6.01 ( iProver_Flat_'uxf$'(X0_'Nat_nat_set_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'Nat_nat_set_fun'=iProver_Domain_'Nat_nat_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$bt' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_ZF_set_prod_fun',X0_'ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun',X0_'ZF_ZF_prod'] : % 0.07/6.01 ( iProver_Flat_'fun_app$bt'(X0_'ZF_ZF_ZF_set_prod_fun',X0_'ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun',X0_'ZF_ZF_prod') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_ZF_set_prod_fun'=iProver_Domain_'ZF_ZF_ZF_set_prod_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'extensional$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'B_a_fun_set',X0_'B_set'] : % 0.07/6.01 ( iProver_Flat_'extensional$'(X0_'B_a_fun_set',X0_'B_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'B_a_fun_set'=iProver_Domain_'B_a_fun_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'image$aj' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_set_ZF_set_prod_set',X0_'ZF_ZF_prod_ZF_set_ZF_set_prod_fun',X0_'ZF_ZF_prod_set'] : % 0.07/6.01 ( iProver_Flat_'image$aj'(X0_'ZF_set_ZF_set_prod_set',X0_'ZF_ZF_prod_ZF_set_ZF_set_prod_fun',X0_'ZF_ZF_prod_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_set_ZF_set_prod_set'=iProver_Domain_'ZF_set_ZF_set_prod_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'image$d' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'Bool_set',X0_'B_set_bool_fun',X0_'B_set_set'] : % 0.07/6.01 ( iProver_Flat_'image$d'(X0_'Bool_set',X0_'B_set_bool_fun',X0_'B_set_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'Bool_set'=iProver_Domain_'Bool_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$cw' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'B_set',X0_'ZF_b_set_fun',X0_'ZF'] : % 0.07/6.01 ( iProver_Flat_'fun_app$cw'(X0_'B_set',X0_'ZF_b_set_fun',X0_'ZF') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uuo$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'B_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'ZF'] : % 0.07/6.01 ( iProver_Flat_'uuo$'(X0_'B_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'ZF') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'opair$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_ZF_fun_fun'] : % 0.07/6.01 ( iProver_Flat_'opair$'(X0_'ZF_ZF_ZF_fun_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uuy$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'B_bool_fun',X0_'B_set',X1_'B_bool_fun'] : % 0.07/6.01 ( iProver_Flat_'uuy$'(X0_'B_bool_fun',X0_'B_set',X1_'B_bool_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uyy$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_set_fun',X0_'ZF_nat_ZF_set_fun_fun',X0_'Nat_set'] : % 0.07/6.01 ( iProver_Flat_'uyy$'(X0_'ZF_ZF_set_fun',X0_'ZF_nat_ZF_set_fun_fun',X0_'Nat_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'collect$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_set',X0_'ZF_bool_fun'] : % 0.07/6.01 ( iProver_Flat_'collect$'(X0_'ZF_set',X0_'ZF_bool_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$ao' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'Nat',X0_'ZF_nat_fun',X0_'ZF'] : % 0.07/6.01 ( iProver_Flat_'fun_app$ao'(X0_'Nat',X0_'ZF_nat_fun',X0_'ZF') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'g$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'B'] : % 0.07/6.01 ( iProver_Flat_'g$'(X0_'B') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'B'=iProver_Domain_'B'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'vae$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'B_bool_fun',X0_'B_set_set'] : % 0.07/6.01 ( iProver_Flat_'vae$'(X0_'B_bool_fun',X0_'B_set_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'member$b' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'B_set_bool_fun',X0_'B'] : % 0.07/6.01 ( iProver_Flat_'member$b'(X0_'B_set_bool_fun',X0_'B') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'B_set_bool_fun'=iProver_Domain_'B_set_bool_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$ac' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_set_fun',X0_'Nat_ZF_ZF_set_fun_fun',X0_'Nat'] : % 0.07/6.01 ( iProver_Flat_'fun_app$ac'(X0_'ZF_ZF_set_fun',X0_'Nat_ZF_ZF_set_fun_fun',X0_'Nat') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'more_update$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_unit_Category_ext',X0_'Unit_unit_fun',X1_'ZF_ZF_unit_Category_ext'] : % 0.07/6.01 ( iProver_Flat_'more_update$'(X0_'ZF_ZF_unit_Category_ext',X0_'Unit_unit_fun',X1_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'image$aa' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_prod_set',X0_'Nat_ZF_ZF_prod_fun',X0_'Nat_set'] : % 0.07/6.01 ( iProver_Flat_'image$aa'(X0_'ZF_ZF_prod_set',X0_'Nat_ZF_ZF_prod_fun',X0_'Nat_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uzy$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_bool_fun',X0_'ZF_nat_bool_fun_fun'] : % 0.07/6.01 ( iProver_Flat_'uzy$'(X0_'ZF_bool_fun',X0_'ZF_nat_bool_fun_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uxw$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_set_set_fun',X0_'Nat_ZF_set_fun',X0_'Nat_set'] : % 0.07/6.01 ( iProver_Flat_'uxw$'(X0_'ZF_ZF_set_set_fun',X0_'Nat_ZF_set_fun',X0_'Nat_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_set_set_fun'=iProver_Domain_'ZF_ZF_set_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'comp$b' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X0_'ZF_ZF_fun'] : % 0.07/6.01 ( iProver_Flat_'comp$b'(X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X0_'ZF_ZF_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_fun_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_fun_ZF_ZF_fun_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'top$f' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_fun_set'] : % 0.07/6.01 ( iProver_Flat_'top$f'(X0_'ZF_ZF_fun_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_fun_set'=iProver_Domain_'ZF_ZF_fun_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'more$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'B_c_LSCategory_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 0.07/6.01 ( iProver_Flat_'more$'(X0_'B_c_LSCategory_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'B_c_LSCategory_ext'=iProver_Domain_'B_c_LSCategory_ext'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uwh$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_bool_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_bool_fun'] : % 0.07/6.01 ( iProver_Flat_'uwh$'(X0_'ZF_bool_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_bool_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uyr$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun',X2_'ZF_ZF_set_fun'] : % 0.07/6.01 ( iProver_Flat_'uyr$'(X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun',X2_'ZF_ZF_set_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'restrict$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_prod_ZF_fun',X1_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_set'] : % 0.07/6.01 ( iProver_Flat_'restrict$'(X0_'ZF_ZF_prod_ZF_fun',X1_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_prod_ZF_fun'=iProver_Domain_'ZF_ZF_prod_ZF_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'image$bi' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'B_bool_fun_set',X0_'B_set_b_bool_fun_fun',X0_'B_set_set'] : % 0.07/6.01 ( iProver_Flat_'image$bi'(X0_'B_bool_fun_set',X0_'B_set_b_bool_fun_fun',X0_'B_set_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'B_bool_fun_set'=iProver_Domain_'B_bool_fun_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'more$a' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'Unit',X0_'ZF_ZF_unit_Category_ext'] : % 0.07/6.01 ( iProver_Flat_'more$a'(X0_'Unit',X0_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'Unit'=iProver_Domain_'Unit'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uvs$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'B_bool_fun',X0_'B_b_fun',X0_'B_set',X1_'B_bool_fun'] : % 0.07/6.01 ( iProver_Flat_'uvs$'(X0_'B_bool_fun',X0_'B_b_fun',X0_'B_set',X1_'B_bool_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'comp$i' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_set_set_ZF_set_fun',X1_'ZF_set_set_ZF_set_fun',X0_'ZF_set_set_ZF_set_set_fun'] : % 0.07/6.01 ( iProver_Flat_'comp$i'(X0_'ZF_set_set_ZF_set_fun',X1_'ZF_set_set_ZF_set_fun',X0_'ZF_set_set_ZF_set_set_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_set_set_ZF_set_fun'=iProver_Domain_'ZF_set_set_ZF_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'image$bn' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_set_set',X0_'ZF_ZF_fun_ZF_set_fun',X0_'ZF_ZF_fun_set'] : % 0.07/6.01 ( iProver_Flat_'image$bn'(X0_'ZF_set_set',X0_'ZF_ZF_fun_ZF_set_fun',X0_'ZF_ZF_fun_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_set_set'=iProver_Domain_'ZF_set_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$cb' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'Nat_ZF_set_ZF_set_prod_fun',X0_'ZF_nat_ZF_set_ZF_set_prod_fun_fun',X0_'ZF'] : % 0.07/6.01 ( iProver_Flat_'fun_app$cb'(X0_'Nat_ZF_set_ZF_set_prod_fun',X0_'ZF_nat_ZF_set_ZF_set_prod_fun_fun',X0_'ZF') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'Nat_ZF_set_ZF_set_prod_fun'=iProver_Domain_'Nat_ZF_set_ZF_set_prod_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$bs' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_set_prod',X0_'ZF_ZF_ZF_set_prod_fun',X0_'ZF'] : % 0.07/6.01 ( iProver_Flat_'fun_app$bs'(X0_'ZF_ZF_set_prod',X0_'ZF_ZF_ZF_set_prod_fun',X0_'ZF') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_set_prod'=iProver_Domain_'ZF_ZF_set_prod'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'vaj$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_set_fun',X0_'ZF_ZF_ZF_set_fun_fun',X0_'ZF_ZF_fun'] : % 0.07/6.01 ( iProver_Flat_'vaj$'(X0_'ZF_ZF_set_fun',X0_'ZF_ZF_ZF_set_fun_fun',X0_'ZF_ZF_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'restrict$c' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'A_b_fun',X1_'A_b_fun',X0_'A_set'] : % 0.07/6.01 ( iProver_Flat_'restrict$c'(X0_'A_b_fun',X1_'A_b_fun',X0_'A_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'A_b_fun'=iProver_Domain_'A_b_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'dom$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'B_a_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 0.07/6.01 ( iProver_Flat_'dom$'(X0_'B_a_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'B_a_fun'=iProver_Domain_'B_a_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'elem$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_bool_fun_fun'] : % 0.07/6.01 ( iProver_Flat_'elem$'(X0_'ZF_ZF_bool_fun_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_bool_fun_fun'=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'zFfunDom$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_fun'] : % 0.07/6.01 ( iProver_Flat_'zFfunDom$'(X0_'ZF_ZF_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uzk$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'Nat_ZF_set_set_fun',X0_'ZF_ZF_set_fun',X0_'Nat_ZF_set_fun'] : % 0.07/6.01 ( iProver_Flat_'uzk$'(X0_'Nat_ZF_set_set_fun',X0_'ZF_ZF_set_fun',X0_'Nat_ZF_set_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'Nat_ZF_set_set_fun'=iProver_Domain_'Nat_ZF_set_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'vak$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_fun_ZF_set_fun',X0_'ZF_ZF_ZF_set_fun_fun'] : % 0.07/6.01 ( iProver_Flat_'vak$'(X0_'ZF_ZF_fun_ZF_set_fun',X0_'ZF_ZF_ZF_set_fun_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_fun_ZF_set_fun'=iProver_Domain_'ZF_ZF_fun_ZF_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'image$o' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'B_set',X0_'A_b_fun',X0_'A_set'] : % 0.07/6.01 ( iProver_Flat_'image$o'(X0_'B_set',X0_'A_b_fun',X0_'A_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uyk$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_ZF_set_fun_fun'] : % 0.07/6.01 ( iProver_Flat_'uyk$'(X0_'ZF_ZF_ZF_set_fun_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_ZF_set_fun_fun'=iProver_Domain_'ZF_ZF_ZF_set_fun_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$bb' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_set',X0_'ZF_ZF_prod_ZF_set_fun',X0_'ZF_ZF_prod'] : % 0.07/6.01 ( iProver_Flat_'fun_app$bb'(X0_'ZF_set',X0_'ZF_ZF_prod_ZF_set_fun',X0_'ZF_ZF_prod') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'zFfunApp$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_ZF_fun_fun'] : % 0.07/6.01 ( iProver_Flat_'zFfunApp$'(X0_'ZF_ZF_ZF_fun_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uzr$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'Nat_ZF_ZF_ZF_prod_set_fun_fun',X0_'Nat_ZF_set_fun',X0_'ZF_ZF_set_fun'] : % 0.07/6.01 ( iProver_Flat_'uzr$'(X0_'Nat_ZF_ZF_ZF_prod_set_fun_fun',X0_'Nat_ZF_set_fun',X0_'ZF_ZF_set_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'Nat_ZF_ZF_ZF_prod_set_fun_fun'=iProver_Domain_'Nat_ZF_ZF_ZF_prod_set_fun_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'case_prod$p' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_prod_ZF_ZF_prod_set_fun',X0_'ZF_ZF_ZF_ZF_prod_set_fun_fun'] : % 0.07/6.01 ( iProver_Flat_'case_prod$p'(X0_'ZF_ZF_prod_ZF_ZF_prod_set_fun',X0_'ZF_ZF_ZF_ZF_prod_set_fun_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_prod_ZF_ZF_prod_set_fun'=iProver_Domain_'ZF_ZF_prod_ZF_ZF_prod_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uws$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'Nat_bool_fun'] : % 0.07/6.01 ( iProver_Flat_'uws$'(X0_'Nat_bool_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'Nat_bool_fun'=iProver_Domain_'Nat_bool_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uwg$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_set_bool_fun',X0_'ZF_ZF_set_fun',X0_'ZF_bool_fun'] : % 0.07/6.01 ( iProver_Flat_'uwg$'(X0_'ZF_set_bool_fun',X0_'ZF_ZF_set_fun',X0_'ZF_bool_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_set_bool_fun'=iProver_Domain_'ZF_set_bool_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'case_prod$b' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_prod_bool_fun',X0_'ZF_ZF_bool_fun_fun'] : % 0.07/6.01 ( iProver_Flat_'case_prod$b'(X0_'ZF_ZF_prod_bool_fun',X0_'ZF_ZF_bool_fun_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_prod_bool_fun'=iProver_Domain_'ZF_ZF_prod_bool_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uzo$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_nat_ZF_ZF_prod_set_fun_fun',X0_'ZF_ZF_set_fun',X0_'Nat_ZF_set_fun'] : % 0.07/6.01 ( iProver_Flat_'uzo$'(X0_'ZF_nat_ZF_ZF_prod_set_fun_fun',X0_'ZF_ZF_set_fun',X0_'Nat_ZF_set_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_nat_ZF_ZF_prod_set_fun_fun'=iProver_Domain_'ZF_nat_ZF_ZF_prod_set_fun_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'cod$a' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext'] : % 0.07/6.01 ( iProver_Flat_'cod$a'(X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uvn$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'A_bool_fun',X0_'B_a_fun',X0_'B_set',X1_'A_bool_fun'] : % 0.07/6.01 ( iProver_Flat_'uvn$'(X0_'A_bool_fun',X0_'B_a_fun',X0_'B_set',X1_'A_bool_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'A_bool_fun'=iProver_Domain_'A_bool_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uwy$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_bool_fun_fun'] : % 0.07/6.01 ( iProver_Flat_'uwy$'(X0_'ZF_ZF_bool_fun_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_bool_fun_fun'=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'more$b' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'C',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 0.07/6.01 ( iProver_Flat_'more$b'(X0_'C',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'C'=iProver_Domain_'C'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$v' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_set_set',X0_'Nat_set_ZF_set_set_fun',X0_'Nat_set'] : % 0.07/6.01 ( iProver_Flat_'fun_app$v'(X0_'ZF_set_set',X0_'Nat_set_ZF_set_set_fun',X0_'Nat_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_set_set'=iProver_Domain_'ZF_set_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'vad$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'A_bool_fun',X0_'A_set_set'] : % 0.07/6.01 ( iProver_Flat_'vad$'(X0_'A_bool_fun',X0_'A_set_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'A_bool_fun'=iProver_Domain_'A_bool_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$cf' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_ZF_ZF_prod_set_fun',X0_'ZF_ZF_prod'] : % 0.07/6.01 ( iProver_Flat_'fun_app$cf'(X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_ZF_ZF_prod_set_fun',X0_'ZF_ZF_prod') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'comp$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_unit_Category_ext'] : % 0.07/6.01 ( iProver_Flat_'comp$'(X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uuv$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun'] : % 0.07/6.01 ( iProver_Flat_'uuv$'(X0_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'image$ar' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_set_set',X0_'B_ZF_set_fun',X0_'B_set'] : % 0.07/6.01 ( iProver_Flat_'image$ar'(X0_'ZF_set_set',X0_'B_ZF_set_fun',X0_'B_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_set_set'=iProver_Domain_'ZF_set_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'zF2mor$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_b_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 0.07/6.01 ( iProver_Flat_'zF2mor$'(X0_'ZF_b_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_b_fun'=iProver_Domain_'ZF_b_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uus$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_ZF_fun_fun',X0_'ZF'] : % 0.07/6.01 ( iProver_Flat_'uus$'(X0_'ZF_ZF_ZF_fun_fun',X0_'ZF') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'image$t' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_ZF_ZF_prod_fun',X1_'ZF_ZF_prod_set'] : % 0.07/6.01 ( iProver_Flat_'image$t'(X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_ZF_ZF_prod_fun',X1_'ZF_ZF_prod_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uxz$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun',X0_'Nat_ZF_set_fun',X0_'ZF_ZF_prod_ZF_fun'] : % 0.07/6.01 ( iProver_Flat_'uxz$'(X0_'Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun',X0_'Nat_ZF_set_fun',X0_'ZF_ZF_prod_ZF_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun'=iProver_Domain_'Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'dom_update$a' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_unit_Category_ext'] : % 0.07/6.01 ( iProver_Flat_'dom_update$a'(X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uwm$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_bool_fun',X0_'A_ZF_fun',X0_'A_set'] : % 0.07/6.01 ( iProver_Flat_'uwm$'(X0_'ZF_bool_fun',X0_'A_ZF_fun',X0_'A_set') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$ce' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'Nat_ZF_set_ZF_set_prod_fun',X0_'Nat_nat_ZF_set_ZF_set_prod_fun_fun',X0_'Nat'] : % 0.07/6.01 ( iProver_Flat_'fun_app$ce'(X0_'Nat_ZF_set_ZF_set_prod_fun',X0_'Nat_nat_ZF_set_ZF_set_prod_fun_fun',X0_'Nat') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'Nat_ZF_set_ZF_set_prod_fun'=iProver_Domain_'Nat_ZF_set_ZF_set_prod_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$cm' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'Unit',X0_'Unit_unit_fun',X1_'Unit'] : % 0.07/6.01 ( iProver_Flat_'fun_app$cm'(X0_'Unit',X0_'Unit_unit_fun',X1_'Unit') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'Unit'=iProver_Domain_'Unit'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$at' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_bool_fun',X0_'Nat_ZF_bool_fun_fun',X0_'Nat'] : % 0.07/6.01 ( iProver_Flat_'fun_app$at'(X0_'ZF_bool_fun',X0_'Nat_ZF_bool_fun_fun',X0_'Nat') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'homFtorMapContra$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'A_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B'] : % 0.07/6.01 ( iProver_Flat_'homFtorMapContra$'(X0_'A_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'A_ZF_fun'=iProver_Domain_'A_ZF_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uue$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_unit_Category_ext'] : % 0.07/6.01 ( iProver_Flat_'uue$'(X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uzj$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_set_set_fun',X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun'] : % 0.07/6.01 ( iProver_Flat_'uzj$'(X0_'ZF_ZF_set_set_fun',X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_set_set_fun'=iProver_Domain_'ZF_ZF_set_set_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uzq$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_ZF_set_fun_fun',X0_'ZF_ZF_set_fun'] : % 0.07/6.01 ( iProver_Flat_'uzq$'(X0_'ZF_ZF_ZF_set_fun_fun',X0_'ZF_ZF_set_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_ZF_set_fun_fun'=iProver_Domain_'ZF_ZF_ZF_set_fun_fun'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'collect$g' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'Nat_set',X0_'Nat_bool_fun'] : % 0.07/6.01 ( iProver_Flat_'collect$g'(X0_'Nat_set',X0_'Nat_bool_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'Nat_set'=iProver_Domain_'Nat_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'constFunctor$c' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext',X1_'ZF_ZF_unit_Category_ext',X0_'ZF'] : % 0.07/6.01 ( iProver_Flat_'constFunctor$c'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext',X1_'ZF_ZF_unit_Category_ext',X0_'ZF') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$by' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_set_ZF_set_prod',X0_'ZF_ZF_set_ZF_set_prod_fun',X0_'ZF'] : % 0.07/6.01 ( iProver_Flat_'fun_app$by'(X0_'ZF_set_ZF_set_prod',X0_'ZF_ZF_set_ZF_set_prod_fun',X0_'ZF') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'ZF_set_ZF_set_prod'=iProver_Domain_'ZF_set_ZF_set_prod'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'fun_app$am' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'B',X0_'B_b_fun',X1_'B'] : % 0.07/6.01 ( iProver_Flat_'fun_app$am'(X0_'B',X0_'B_b_fun',X1_'B') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'B'=iProver_Domain_'B'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'collect$h' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'A_set',X0_'A_bool_fun'] : % 0.07/6.01 ( iProver_Flat_'collect$h'(X0_'A_set',X0_'A_bool_fun') <=> % 0.07/6.01 ( % 0.07/6.01 ( % 0.07/6.01 ( X0_'A_set'=iProver_Domain_'A_set'_1 ) % 0.07/6.01 ) % 0.07/6.01 % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ) % 0.07/6.01 ). % 0.07/6.01 % 0.07/6.01 %------ Positive definition of iProver_Flat_'uzh$' % 0.07/6.01 fof(lit_def,axiom, % 0.07/6.01 (! [X0_'ZF_ZF_set_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_ZF_prod_set_fun'] : % 0.07/6.01 ( iProver_Flat_'uzh$'(X0_'ZF_ZF_set_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_ZF_prod_set_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'comp$a' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'B_b_b_fun_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.01 ( iProver_Flat_'comp$a'(X0_'B_b_b_fun_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'B_b_b_fun_fun'=iProver_Domain_'B_b_b_fun_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'fun_app$au' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_set',X0_'ZF_ZF_prod_set_ZF_set_fun',X0_'ZF_ZF_prod_set'] : % 4.24/6.01 ( iProver_Flat_'fun_app$au'(X0_'ZF_set',X0_'ZF_ZF_prod_set_ZF_set_fun',X0_'ZF_ZF_prod_set') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'uyu$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_set_ZF_set_fun',X0_'ZF_ZF_set_fun'] : % 4.24/6.01 ( iProver_Flat_'uyu$'(X0_'ZF_set_ZF_set_fun',X0_'ZF_ZF_set_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_set_ZF_set_fun'=iProver_Domain_'ZF_set_ZF_set_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'relImage$b' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_ZF_ZF_prod_prod_set',X0_'ZF_ZF_prod_ZF_fun'] : % 4.24/6.01 ( iProver_Flat_'relImage$b'(X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_ZF_ZF_prod_prod_set',X0_'ZF_ZF_prod_ZF_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'uxx$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'Nat_ZF_ZF_set_ZF_set_prod_fun_fun',X0_'Nat_ZF_set_fun',X0_'ZF_ZF_set_fun'] : % 4.24/6.01 ( iProver_Flat_'uxx$'(X0_'Nat_ZF_ZF_set_ZF_set_prod_fun_fun',X0_'Nat_ZF_set_fun',X0_'ZF_ZF_set_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'Nat_ZF_ZF_set_ZF_set_prod_fun_fun'=iProver_Domain_'Nat_ZF_ZF_set_ZF_set_prod_fun_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'fun_app$bq' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'Nat_ZF_ZF_prod_set_fun',X0_'Nat_nat_ZF_ZF_prod_set_fun_fun',X0_'Nat'] : % 4.24/6.01 ( iProver_Flat_'fun_app$bq'(X0_'Nat_ZF_ZF_prod_set_fun',X0_'Nat_nat_ZF_ZF_prod_set_fun_fun',X0_'Nat') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'Nat_ZF_ZF_prod_set_fun'=iProver_Domain_'Nat_ZF_ZF_prod_set_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'uyd$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun',X0_'ZF_ZF_prod_ZF_fun',X1_'ZF_ZF_prod_ZF_fun'] : % 4.24/6.01 ( iProver_Flat_'uyd$'(X0_'ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun',X0_'ZF_ZF_prod_ZF_fun',X1_'ZF_ZF_prod_ZF_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun'=iProver_Domain_'ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'uvj$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_ZF_set_fun',X0_'Nat_ZF_set_fun',X0_'ZF_nat_fun'] : % 4.24/6.01 ( iProver_Flat_'uvj$'(X0_'ZF_ZF_set_fun',X0_'Nat_ZF_set_fun',X0_'ZF_nat_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'uwq$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_ZF_prod_fun'] : % 4.24/6.01 ( iProver_Flat_'uwq$'(X0_'ZF_ZF_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_ZF_prod_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'pair$d' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_set_ZF_set_prod',X0_'ZF_set',X1_'ZF_set'] : % 4.24/6.01 ( iProver_Flat_'pair$d'(X0_'ZF_set_ZF_set_prod',X0_'ZF_set',X1_'ZF_set') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_set_ZF_set_prod'=iProver_Domain_'ZF_set_ZF_set_prod'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'image$j' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'A_set',X0_'ZF_set_a_fun',X0_'ZF_set_set'] : % 4.24/6.01 ( iProver_Flat_'image$j'(X0_'A_set',X0_'ZF_set_a_fun',X0_'ZF_set_set') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'A_set'=iProver_Domain_'A_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'fun_app$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF',X0_'ZF_ZF_fun',X1_'ZF'] : % 4.24/6.01 ( iProver_Flat_'fun_app$'(X0_'ZF',X0_'ZF_ZF_fun',X1_'ZF') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'fun_app$l' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'B_bool_fun',X0_'B_set_b_bool_fun_fun',X0_'B_set'] : % 4.24/6.01 ( iProver_Flat_'fun_app$l'(X0_'B_bool_fun',X0_'B_set_b_bool_fun_fun',X0_'B_set') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'objIso$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_ZF_bool_fun_fun',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.01 ( iProver_Flat_'objIso$'(X0_'ZF_ZF_bool_fun_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_ZF_bool_fun_fun'=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'fun_app$ax' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_set_set',X0_'ZF_ZF_set_set_fun',X0_'ZF'] : % 4.24/6.01 ( iProver_Flat_'fun_app$ax'(X0_'ZF_set_set',X0_'ZF_ZF_set_set_fun',X0_'ZF') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_set_set'=iProver_Domain_'ZF_set_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'fun_app$cs' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'B_set',X0_'A_b_set_fun',X0_'A'] : % 4.24/6.01 ( iProver_Flat_'fun_app$cs'(X0_'B_set',X0_'A_b_set_fun',X0_'A') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'uzz$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_bool_fun',X0_'ZF_nat_bool_fun_fun',X0_'Nat'] : % 4.24/6.01 ( iProver_Flat_'uzz$'(X0_'ZF_bool_fun',X0_'ZF_nat_bool_fun_fun',X0_'Nat') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'fun_app$aw' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_ZF_prod_set',X0_'Nat_ZF_ZF_prod_set_fun',X0_'Nat'] : % 4.24/6.01 ( iProver_Flat_'fun_app$aw'(X0_'ZF_ZF_prod_set',X0_'Nat_ZF_ZF_prod_set_fun',X0_'Nat') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'collect$e' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'B_a_fun_set',X0_'B_a_fun_bool_fun'] : % 4.24/6.01 ( iProver_Flat_'collect$e'(X0_'B_a_fun_set',X0_'B_a_fun_bool_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'B_a_fun_set'=iProver_Domain_'B_a_fun_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'fun_app$g' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_bool_fun',X0_'ZF_set_ZF_bool_fun_fun',X0_'ZF_set'] : % 4.24/6.01 ( iProver_Flat_'fun_app$g'(X0_'ZF_bool_fun',X0_'ZF_set_ZF_bool_fun_fun',X0_'ZF_set') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'restrict$d' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_set'] : % 4.24/6.01 ( iProver_Flat_'restrict$d'(X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_set') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'image$af' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_set_ZF_set_prod_set',X0_'Nat_ZF_prod_ZF_set_ZF_set_prod_fun',X0_'Nat_ZF_prod_set'] : % 4.24/6.01 ( iProver_Flat_'image$af'(X0_'ZF_set_ZF_set_prod_set',X0_'Nat_ZF_prod_ZF_set_ZF_set_prod_fun',X0_'Nat_ZF_prod_set') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_set_ZF_set_prod_set'=iProver_Domain_'ZF_set_ZF_set_prod_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'uvl$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'A_bool_fun',X0_'A_a_fun',X0_'A_set',X1_'A_bool_fun'] : % 4.24/6.01 ( iProver_Flat_'uvl$'(X0_'A_bool_fun',X0_'A_a_fun',X0_'A_set',X1_'A_bool_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'A_bool_fun'=iProver_Domain_'A_bool_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'isomorphism$a' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'B_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.01 ( iProver_Flat_'isomorphism$a'(X0_'B_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'image$bd' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_ZF_prod_set_set',X0_'ZF_nat_prod_ZF_ZF_prod_set_fun',X0_'ZF_nat_prod_set'] : % 4.24/6.01 ( iProver_Flat_'image$bd'(X0_'ZF_ZF_prod_set_set',X0_'ZF_nat_prod_ZF_ZF_prod_set_fun',X0_'ZF_nat_prod_set') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_ZF_prod_set_set'=iProver_Domain_'ZF_ZF_prod_set_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'image$q' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_set_set_ZF_set_set_fun',X0_'ZF_set_ZF_set_fun'] : % 4.24/6.01 ( iProver_Flat_'image$q'(X0_'ZF_set_set_ZF_set_set_fun',X0_'ZF_set_ZF_set_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_set_set_ZF_set_set_fun'=iProver_Domain_'ZF_set_set_ZF_set_set_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'fun_app$an' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'B_b_fun',X0_'B_b_b_fun_fun',X0_'B'] : % 4.24/6.01 ( iProver_Flat_'fun_app$an'(X0_'B_b_fun',X0_'B_b_b_fun_fun',X0_'B') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'B_b_fun'=iProver_Domain_'B_b_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'uwz$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_set_ZF_set_set_fun',X0_'ZF_ZF_set_fun',X0_'ZF_set'] : % 4.24/6.01 ( iProver_Flat_'uwz$'(X0_'ZF_set_ZF_set_set_fun',X0_'ZF_ZF_set_fun',X0_'ZF_set') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_set_ZF_set_set_fun'=iProver_Domain_'ZF_set_ZF_set_set_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'uuu$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_ZF_fun'] : % 4.24/6.01 ( iProver_Flat_'uuu$'(X0_'ZF_ZF_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'image$av' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_ZF_prod_set_set_ZF_set_set_fun',X0_'ZF_ZF_prod_set_ZF_set_fun'] : % 4.24/6.01 ( iProver_Flat_'image$av'(X0_'ZF_ZF_prod_set_set_ZF_set_set_fun',X0_'ZF_ZF_prod_set_ZF_set_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_ZF_prod_set_set_ZF_set_set_fun'=iProver_Domain_'ZF_ZF_prod_set_set_ZF_set_set_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'image$aw' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'Nat_set_set',X0_'ZF_nat_set_fun',X0_'ZF_set'] : % 4.24/6.01 ( iProver_Flat_'image$aw'(X0_'Nat_set_set',X0_'ZF_nat_set_fun',X0_'ZF_set') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'Nat_set_set'=iProver_Domain_'Nat_set_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'image$bp' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_set_set',X0_'ZF_nat_fun_ZF_set_fun',X0_'ZF_nat_fun_set'] : % 4.24/6.01 ( iProver_Flat_'image$bp'(X0_'ZF_set_set',X0_'ZF_nat_fun_ZF_set_fun',X0_'ZF_nat_fun_set') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_set_set'=iProver_Domain_'ZF_set_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'fun_app$ap' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'Nat',X0_'Nat_nat_fun',X1_'Nat'] : % 4.24/6.01 ( iProver_Flat_'fun_app$ap'(X0_'Nat',X0_'Nat_nat_fun',X1_'Nat') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'image$am' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'A_set_set',X0_'B_a_set_fun',X0_'B_set'] : % 4.24/6.01 ( iProver_Flat_'image$am'(X0_'A_set_set',X0_'B_a_set_fun',X0_'B_set') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'A_set_set'=iProver_Domain_'A_set_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'top$c' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_nat_prod_set'] : % 4.24/6.01 ( iProver_Flat_'top$c'(X0_'ZF_nat_prod_set') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_nat_prod_set'=iProver_Domain_'ZF_nat_prod_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'vab$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_ZF_bool_fun_fun',X0_'ZF_ZF_set_fun'] : % 4.24/6.01 ( iProver_Flat_'vab$'(X0_'ZF_ZF_bool_fun_fun',X0_'ZF_ZF_set_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_ZF_bool_fun_fun'=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'fun_app$z' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_set',X0_'ZF_ZF_fun_ZF_set_fun',X0_'ZF_ZF_fun'] : % 4.24/6.01 ( iProver_Flat_'fun_app$z'(X0_'ZF_set',X0_'ZF_ZF_fun_ZF_set_fun',X0_'ZF_ZF_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'isomorphism$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_bool_fun',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.01 ( iProver_Flat_'isomorphism$'(X0_'ZF_bool_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'image$ae' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_ZF_set_prod_set',X0_'ZF_ZF_prod_nat_prod_ZF_ZF_set_prod_fun',X0_'ZF_ZF_prod_nat_prod_set'] : % 4.24/6.01 ( iProver_Flat_'image$ae'(X0_'ZF_ZF_set_prod_set',X0_'ZF_ZF_prod_nat_prod_ZF_ZF_set_prod_fun',X0_'ZF_ZF_prod_nat_prod_set') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_ZF_set_prod_set'=iProver_Domain_'ZF_ZF_set_prod_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'uzi$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'Nat_ZF_set_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'Nat_ZF_ZF_prod_set_fun'] : % 4.24/6.01 ( iProver_Flat_'uzi$'(X0_'Nat_ZF_set_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'Nat_ZF_ZF_prod_set_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'id$a' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.01 ( iProver_Flat_'id$a'(X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'case_prod$k' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_ZF_prod_ZF_ZF_prod_prod_ZF_ZF_prod_fun',X0_'ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun'] : % 4.24/6.01 ( iProver_Flat_'case_prod$k'(X0_'ZF_ZF_prod_ZF_ZF_prod_prod_ZF_ZF_prod_fun',X0_'ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_ZF_prod_ZF_ZF_prod_prod_ZF_ZF_prod_fun'=iProver_Domain_'ZF_ZF_prod_ZF_ZF_prod_prod_ZF_ZF_prod_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'sigma$j' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'Nat_ZF_ZF_prod_prod_set',X0_'Nat_set',X0_'Nat_ZF_ZF_prod_set_fun'] : % 4.24/6.01 ( iProver_Flat_'sigma$j'(X0_'Nat_ZF_ZF_prod_prod_set',X0_'Nat_set',X0_'Nat_ZF_ZF_prod_set_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'Nat_ZF_ZF_prod_prod_set'=iProver_Domain_'Nat_ZF_ZF_prod_prod_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'uzc$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_nat_ZF_set_fun_fun',X0_'Nat_ZF_ZF_set_fun_fun'] : % 4.24/6.01 ( iProver_Flat_'uzc$'(X0_'ZF_nat_ZF_set_fun_fun',X0_'Nat_ZF_ZF_set_fun_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_nat_ZF_set_fun_fun'=iProver_Domain_'ZF_nat_ZF_set_fun_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'comp$c' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'Nat_set_set_ZF_set_set_fun',X0_'ZF_set_set_set_ZF_set_set_fun',X0_'Nat_set_set_ZF_set_set_set_fun'] : % 4.24/6.01 ( iProver_Flat_'comp$c'(X0_'Nat_set_set_ZF_set_set_fun',X0_'ZF_set_set_set_ZF_set_set_fun',X0_'Nat_set_set_ZF_set_set_set_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'Nat_set_set_ZF_set_set_fun'=iProver_Domain_'Nat_set_set_ZF_set_set_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'uvd$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_fun',X1_'ZF_ZF_prod_ZF_fun'] : % 4.24/6.01 ( iProver_Flat_'uvd$'(X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_fun',X1_'ZF_ZF_prod_ZF_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_ZF_prod_ZF_fun'=iProver_Domain_'ZF_ZF_prod_ZF_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'uvt$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'A_bool_fun',X0_'ZF_a_fun',X0_'ZF_set',X1_'A_bool_fun'] : % 4.24/6.01 ( iProver_Flat_'uvt$'(X0_'A_bool_fun',X0_'ZF_a_fun',X0_'ZF_set',X1_'A_bool_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'A_bool_fun'=iProver_Domain_'A_bool_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'fun_app$dc' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_set_set',X0_'ZF_ZF_prod_set_set_ZF_set_set_fun',X0_'ZF_ZF_prod_set_set'] : % 4.24/6.01 ( iProver_Flat_'fun_app$dc'(X0_'ZF_set_set',X0_'ZF_ZF_prod_set_set_ZF_set_set_fun',X0_'ZF_ZF_prod_set_set') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_set_set'=iProver_Domain_'ZF_set_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'constFunctor$b' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A'] : % 4.24/6.01 ( iProver_Flat_'constFunctor$b'(X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext'=iProver_Domain_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'fun_app$cz' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'Nat_set',X0_'Nat_set_set_nat_set_fun',X0_'Nat_set_set'] : % 4.24/6.01 ( iProver_Flat_'fun_app$cz'(X0_'Nat_set',X0_'Nat_set_set_nat_set_fun',X0_'Nat_set_set') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'Nat_set'=iProver_Domain_'Nat_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'uwi$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_bool_fun',X0_'ZF_ZF_fun',X1_'ZF_bool_fun'] : % 4.24/6.01 ( iProver_Flat_'uwi$'(X0_'ZF_bool_fun',X0_'ZF_ZF_fun',X1_'ZF_bool_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'uyf$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_ZF_ZF_set_ZF_set_prod_fun_fun',X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun'] : % 4.24/6.01 ( iProver_Flat_'uyf$'(X0_'ZF_ZF_ZF_set_ZF_set_prod_fun_fun',X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_ZF_ZF_set_ZF_set_prod_fun_fun'=iProver_Domain_'ZF_ZF_ZF_set_ZF_set_prod_fun_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'case_prod$j' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'Nat_nat_prod_ZF_set_ZF_set_prod_fun',X0_'Nat_nat_ZF_set_ZF_set_prod_fun_fun'] : % 4.24/6.01 ( iProver_Flat_'case_prod$j'(X0_'Nat_nat_prod_ZF_set_ZF_set_prod_fun',X0_'Nat_nat_ZF_set_ZF_set_prod_fun_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'Nat_nat_prod_ZF_set_ZF_set_prod_fun'=iProver_Domain_'Nat_nat_prod_ZF_set_ZF_set_prod_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'fun_app$ba' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_ZF_prod',X0_'Nat_ZF_ZF_prod_fun',X0_'Nat'] : % 4.24/6.01 ( iProver_Flat_'fun_app$ba'(X0_'ZF_ZF_prod',X0_'Nat_ZF_ZF_prod_fun',X0_'Nat') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_ZF_prod'=iProver_Domain_'ZF_ZF_prod'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'relImage$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_set_ZF_set_prod_set',X0_'ZF_ZF_prod_set',X0_'ZF_ZF_set_fun'] : % 4.24/6.01 ( iProver_Flat_'relImage$'(X0_'ZF_set_ZF_set_prod_set',X0_'ZF_ZF_prod_set',X0_'ZF_ZF_set_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_set_ZF_set_prod_set'=iProver_Domain_'ZF_set_ZF_set_prod_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'image$be' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_ZF_prod_set_set',X0_'Nat_ZF_prod_ZF_ZF_prod_set_fun',X0_'Nat_ZF_prod_set'] : % 4.24/6.01 ( iProver_Flat_'image$be'(X0_'ZF_ZF_prod_set_set',X0_'Nat_ZF_prod_ZF_ZF_prod_set_fun',X0_'Nat_ZF_prod_set') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_ZF_prod_set_set'=iProver_Domain_'ZF_ZF_prod_set_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'homFtor$a' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A'] : % 4.24/6.01 ( iProver_Flat_'homFtor$a'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'sigma$l' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'Nat_ZF_set_prod_set',X0_'Nat_set',X0_'Nat_ZF_set_set_fun'] : % 4.24/6.01 ( iProver_Flat_'sigma$l'(X0_'Nat_ZF_set_prod_set',X0_'Nat_set',X0_'Nat_ZF_set_set_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'Nat_ZF_set_prod_set'=iProver_Domain_'Nat_ZF_set_prod_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'fun_app$bj' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'A',X0_'ZF_set_a_fun',X0_'ZF_set'] : % 4.24/6.01 ( iProver_Flat_'fun_app$bj'(X0_'A',X0_'ZF_set_a_fun',X0_'ZF_set') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'uzx$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_ZF_set_fun',X0_'ZF_ZF_bool_fun_fun'] : % 4.24/6.01 ( iProver_Flat_'uzx$'(X0_'ZF_ZF_set_fun',X0_'ZF_ZF_bool_fun_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'relInvImage$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_ZF_prod_set',X0_'ZF_set',X0_'ZF_set_ZF_set_prod_set',X0_'ZF_ZF_set_fun'] : % 4.24/6.01 ( iProver_Flat_'relInvImage$'(X0_'ZF_ZF_prod_set',X0_'ZF_set',X0_'ZF_set_ZF_set_prod_set',X0_'ZF_ZF_set_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'case_prod$i' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'Nat_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun',X0_'Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun'] : % 4.24/6.01 ( iProver_Flat_'case_prod$i'(X0_'Nat_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun',X0_'Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'Nat_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun'=iProver_Domain_'Nat_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'vav$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_ZF_fun_ZF_set_fun',X0_'ZF_ZF_ZF_set_fun_fun'] : % 4.24/6.01 ( iProver_Flat_'vav$'(X0_'ZF_ZF_fun_ZF_set_fun',X0_'ZF_ZF_ZF_set_fun_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_ZF_fun_ZF_set_fun'=iProver_Domain_'ZF_ZF_fun_ZF_set_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'fun_app$ch' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'B_a_fun',X0_'B_a_fun_b_a_fun_fun',X1_'B_a_fun'] : % 4.24/6.01 ( iProver_Flat_'fun_app$ch'(X0_'B_a_fun',X0_'B_a_fun_b_a_fun_fun',X1_'B_a_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'B_a_fun'=iProver_Domain_'B_a_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'image$bl' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_bool_fun_set',X0_'ZF_ZF_bool_fun_fun',X0_'ZF_set'] : % 4.24/6.01 ( iProver_Flat_'image$bl'(X0_'ZF_bool_fun_set',X0_'ZF_ZF_bool_fun_fun',X0_'ZF_set') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_bool_fun_set'=iProver_Domain_'ZF_bool_fun_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'case_prod$o' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'Nat_nat_prod_ZF_ZF_prod_set_fun',X0_'Nat_nat_ZF_ZF_prod_set_fun_fun'] : % 4.24/6.01 ( iProver_Flat_'case_prod$o'(X0_'Nat_nat_prod_ZF_ZF_prod_set_fun',X0_'Nat_nat_ZF_ZF_prod_set_fun_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'Nat_nat_prod_ZF_ZF_prod_set_fun'=iProver_Domain_'Nat_nat_prod_ZF_ZF_prod_set_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'fun_app$da' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_set_set',X0_'ZF_set_set_set_ZF_set_set_fun',X0_'ZF_set_set_set'] : % 4.24/6.01 ( iProver_Flat_'fun_app$da'(X0_'ZF_set_set',X0_'ZF_set_set_set_ZF_set_set_fun',X0_'ZF_set_set_set') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_set_set'=iProver_Domain_'ZF_set_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'uul$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_prod_ZF_fun'] : % 4.24/6.01 ( iProver_Flat_'uul$'(X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_prod_ZF_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'sigma$d' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'Nat_nat_prod_set',X0_'Nat_set',X0_'Nat_nat_set_fun'] : % 4.24/6.01 ( iProver_Flat_'sigma$d'(X0_'Nat_nat_prod_set',X0_'Nat_set',X0_'Nat_nat_set_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'Nat_nat_prod_set'=iProver_Domain_'Nat_nat_prod_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'image$s' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_set_set',X0_'ZF_ZF_prod_ZF_set_fun',X0_'ZF_ZF_prod_set'] : % 4.24/6.01 ( iProver_Flat_'image$s'(X0_'ZF_set_set',X0_'ZF_ZF_prod_ZF_set_fun',X0_'ZF_ZF_prod_set') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_set_set'=iProver_Domain_'ZF_set_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'image$v' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'Nat_set',X0_'Nat_nat_fun',X1_'Nat_set'] : % 4.24/6.01 ( iProver_Flat_'image$v'(X0_'Nat_set',X0_'Nat_nat_fun',X1_'Nat_set') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'Nat_set'=iProver_Domain_'Nat_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'uvx$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_bool_fun',X0_'A_ZF_fun',X0_'A_set',X1_'ZF_bool_fun'] : % 4.24/6.01 ( iProver_Flat_'uvx$'(X0_'ZF_bool_fun',X0_'A_ZF_fun',X0_'A_set',X1_'ZF_bool_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'homSet$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'A_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A'] : % 4.24/6.01 ( iProver_Flat_'homSet$'(X0_'A_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'A_ZF_fun'=iProver_Domain_'A_ZF_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'image$bm' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_bool_fun_set',X0_'Nat_ZF_bool_fun_fun',X0_'Nat_set'] : % 4.24/6.01 ( iProver_Flat_'image$bm'(X0_'ZF_bool_fun_set',X0_'Nat_ZF_bool_fun_fun',X0_'Nat_set') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_bool_fun_set'=iProver_Domain_'ZF_bool_fun_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'fun_app$cv' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'A_set',X0_'ZF_a_set_fun',X0_'ZF'] : % 4.24/6.01 ( iProver_Flat_'fun_app$cv'(X0_'A_set',X0_'ZF_a_set_fun',X0_'ZF') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'A_set'=iProver_Domain_'A_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'uzl$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_ZF_set_fun',X0_'ZF_ZF_fun',X1_'ZF_ZF_set_fun'] : % 4.24/6.01 ( iProver_Flat_'uzl$'(X0_'ZF_ZF_set_fun',X0_'ZF_ZF_fun',X1_'ZF_ZF_set_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'pair$b' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_ZF_set_prod',X0_'ZF',X0_'ZF_set'] : % 4.24/6.01 ( iProver_Flat_'pair$b'(X0_'ZF_ZF_set_prod',X0_'ZF',X0_'ZF_set') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_ZF_set_prod'=iProver_Domain_'ZF_ZF_set_prod'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'mor_update$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_ZF_unit_Category_ext',X0_'ZF_set_ZF_set_fun',X1_'ZF_ZF_unit_Category_ext'] : % 4.24/6.01 ( iProver_Flat_'mor_update$'(X0_'ZF_ZF_unit_Category_ext',X0_'ZF_set_ZF_set_fun',X1_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'image$bo' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_set_set',X0_'Nat_ZF_fun_ZF_set_fun',X0_'Nat_ZF_fun_set'] : % 4.24/6.01 ( iProver_Flat_'image$bo'(X0_'ZF_set_set',X0_'Nat_ZF_fun_ZF_set_fun',X0_'Nat_ZF_fun_set') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_set_set'=iProver_Domain_'ZF_set_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'image$ay' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_set_set',X0_'Nat_set_ZF_set_fun',X0_'Nat_set_set'] : % 4.24/6.01 ( iProver_Flat_'image$ay'(X0_'ZF_set_set',X0_'Nat_set_ZF_set_fun',X0_'Nat_set_set') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_set_set'=iProver_Domain_'ZF_set_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'top$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'Nat_set'] : % 4.24/6.01 ( iProver_Flat_'top$'(X0_'Nat_set') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'Nat_set'=iProver_Domain_'Nat_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'image$bf' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_ZF_prod_set_set',X0_'Nat_nat_prod_ZF_ZF_prod_set_fun',X0_'Nat_nat_prod_set'] : % 4.24/6.01 ( iProver_Flat_'image$bf'(X0_'ZF_ZF_prod_set_set',X0_'Nat_nat_prod_ZF_ZF_prod_set_fun',X0_'Nat_nat_prod_set') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_ZF_prod_set_set'=iProver_Domain_'ZF_ZF_prod_set_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'sigma$i' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_ZF_prod_nat_prod_set',X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_nat_set_fun'] : % 4.24/6.01 ( iProver_Flat_'sigma$i'(X0_'ZF_ZF_prod_nat_prod_set',X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_nat_set_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_ZF_prod_nat_prod_set'=iProver_Domain_'ZF_ZF_prod_nat_prod_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'image$l' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'B_set_b_set_fun',X0_'B_b_fun'] : % 4.24/6.01 ( iProver_Flat_'image$l'(X0_'B_set_b_set_fun',X0_'B_b_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'B_set_b_set_fun'=iProver_Domain_'B_set_b_set_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'uxt$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_ZF_set_set_fun',X0_'ZF_ZF_set_fun',X0_'ZF_set'] : % 4.24/6.01 ( iProver_Flat_'uxt$'(X0_'ZF_ZF_set_set_fun',X0_'ZF_ZF_set_fun',X0_'ZF_set') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_ZF_set_set_fun'=iProver_Domain_'ZF_ZF_set_set_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'uxc$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_ZF_set_fun'] : % 4.24/6.01 ( iProver_Flat_'uxc$'(X0_'ZF_ZF_set_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'image$at' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'Nat_set_set_ZF_set_set_set_fun',X0_'Nat_set_ZF_set_set_fun'] : % 4.24/6.01 ( iProver_Flat_'image$at'(X0_'Nat_set_set_ZF_set_set_set_fun',X0_'Nat_set_ZF_set_set_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'Nat_set_set_ZF_set_set_set_fun'=iProver_Domain_'Nat_set_set_ZF_set_set_set_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'vaz$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_nat_fun_ZF_set_fun',X0_'Nat_ZF_ZF_set_fun_fun'] : % 4.24/6.01 ( iProver_Flat_'vaz$'(X0_'ZF_nat_fun_ZF_set_fun',X0_'Nat_ZF_ZF_set_fun_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_nat_fun_ZF_set_fun'=iProver_Domain_'ZF_nat_fun_ZF_set_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'uvk$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'Nat_ZF_set_fun',X1_'Nat_ZF_set_fun',X0_'Nat_nat_fun'] : % 4.24/6.01 ( iProver_Flat_'uvk$'(X0_'Nat_ZF_set_fun',X1_'Nat_ZF_set_fun',X0_'Nat_nat_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'fun_app$q' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_bool_fun',X0_'ZF_ZF_bool_fun_fun',X0_'ZF'] : % 4.24/6.01 ( iProver_Flat_'fun_app$q'(X0_'ZF_bool_fun',X0_'ZF_ZF_bool_fun_fun',X0_'ZF') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'uwc$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_bool_fun',X0_'ZF_ZF_fun',X0_'ZF_set',X1_'ZF_bool_fun'] : % 4.24/6.01 ( iProver_Flat_'uwc$'(X0_'ZF_bool_fun',X0_'ZF_ZF_fun',X0_'ZF_set',X1_'ZF_bool_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'fun_app$bl' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'B',X0_'A_b_fun',X0_'A'] : % 4.24/6.01 ( iProver_Flat_'fun_app$bl'(X0_'B',X0_'A_b_fun',X0_'A') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'uys$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'Nat_ZF_set_fun',X0_'ZF_ZF_set_fun',X1_'Nat_ZF_set_fun'] : % 4.24/6.01 ( iProver_Flat_'uys$'(X0_'Nat_ZF_set_fun',X0_'ZF_ZF_set_fun',X1_'Nat_ZF_set_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'gr$b' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'Nat_ZF_set_prod_set',X0_'Nat_set',X0_'Nat_ZF_set_fun'] : % 4.24/6.01 ( iProver_Flat_'gr$b'(X0_'Nat_ZF_set_prod_set',X0_'Nat_set',X0_'Nat_ZF_set_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'Nat_ZF_set_prod_set'=iProver_Domain_'Nat_ZF_set_prod_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'less_eq$c' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_set_bool_fun',X0_'ZF_set'] : % 4.24/6.01 ( iProver_Flat_'less_eq$c'(X0_'ZF_set_bool_fun',X0_'ZF_set') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_set_bool_fun'=iProver_Domain_'ZF_set_bool_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'explode$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_ZF_set_fun'] : % 4.24/6.01 ( iProver_Flat_'explode$'(X0_'ZF_ZF_set_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'isZFfun$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_bool_fun'] : % 4.24/6.01 ( iProver_Flat_'isZFfun$'(X0_'ZF_bool_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'fun_app$c' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_ZF_prod_set',X0_'ZF_set_ZF_ZF_prod_set_fun',X0_'ZF_set'] : % 4.24/6.01 ( iProver_Flat_'fun_app$c'(X0_'ZF_ZF_prod_set',X0_'ZF_set_ZF_ZF_prod_set_fun',X0_'ZF_set') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_set'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'uyj$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'Nat_ZF_set_set_fun',X0_'ZF_set_set'] : % 4.24/6.01 ( iProver_Flat_'uyj$'(X0_'Nat_ZF_set_set_fun',X0_'ZF_set_set') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'Nat_ZF_set_set_fun'=iProver_Domain_'Nat_ZF_set_set_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'vay$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_ZF_set_fun',X0_'Nat_ZF_ZF_set_fun_fun'] : % 4.24/6.01 ( iProver_Flat_'vay$'(X0_'ZF_ZF_set_fun',X0_'Nat_ZF_ZF_set_fun_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'cartProd$' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_ZF_ZF_fun_fun'] : % 4.24/6.01 ( iProver_Flat_'cartProd$'(X0_'ZF_ZF_ZF_fun_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'image$au' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_set_set_ZF_set_set_set_fun',X0_'ZF_set_ZF_set_set_fun'] : % 4.24/6.01 ( iProver_Flat_'image$au'(X0_'ZF_set_set_ZF_set_set_set_fun',X0_'ZF_set_ZF_set_set_fun') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_set_set_ZF_set_set_set_fun'=iProver_Domain_'ZF_set_set_ZF_set_set_set_fun'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'pair$c' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_set_ZF_prod',X0_'ZF_set',X0_'ZF'] : % 4.24/6.01 ( iProver_Flat_'pair$c'(X0_'ZF_set_ZF_prod',X0_'ZF_set',X0_'ZF') <=> % 4.24/6.01 ( % 4.24/6.01 ( % 4.24/6.01 ( X0_'ZF_set_ZF_prod'=iProver_Domain_'ZF_set_ZF_prod'_1 ) % 4.24/6.01 ) % 4.24/6.01 % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ) % 4.24/6.01 ). % 4.24/6.01 % 4.24/6.01 %------ Positive definition of iProver_Flat_'fun_app$e' % 4.24/6.01 fof(lit_def,axiom, % 4.24/6.01 (! [X0_'ZF_ZF_ZF_prod_fun',X0_'ZF_ZF_ZF_ZF_prod_fun_fun',X0_'ZF'] : % 4.24/6.01 ( iProver_Flat_'fun_app$e'(X0_'ZF_ZF_ZF_prod_fun',X0_'ZF_ZF_ZF_ZF_prod_fun_fun',X0_'ZF') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_ZF_ZF_prod_fun'=iProver_Domain_'ZF_ZF_ZF_prod_fun'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_'uym$' % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_ZF_fun_ZF_ZF_fun_fun'] : % 4.24/6.02 ( iProver_Flat_'uym$'(X0_'ZF_ZF_fun_ZF_ZF_fun_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_ZF_fun_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_fun_ZF_ZF_fun_fun'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_'image$u' % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'Nat_set',X0_'ZF_nat_fun',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_'image$u'(X0_'Nat_set',X0_'ZF_nat_fun',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'Nat_set'=iProver_Domain_'Nat_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_'fun_app$bz' % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_ZF_set_ZF_set_prod_fun',X0_'ZF_ZF_ZF_set_ZF_set_prod_fun_fun',X0_'ZF'] : % 4.24/6.02 ( iProver_Flat_'fun_app$bz'(X0_'ZF_ZF_set_ZF_set_prod_fun',X0_'ZF_ZF_ZF_set_ZF_set_prod_fun_fun',X0_'ZF') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_ZF_set_ZF_set_prod_fun'=iProver_Domain_'ZF_ZF_set_ZF_set_prod_fun'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_'uuf$' % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_ZF_bool_fun_fun'] : % 4.24/6.02 ( iProver_Flat_'uuf$'(X0_'ZF_ZF_bool_fun_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_ZF_bool_fun_fun'=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_'dom$a' % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_'dom$a'(X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_'fun_app$r' % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_set',X0_'Nat_ZF_set_fun',X0_'Nat'] : % 4.24/6.02 ( iProver_Flat_'fun_app$r'(X0_'ZF_set',X0_'Nat_ZF_set_fun',X0_'Nat') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_'fun_app$t' % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_set',X0_'Nat_nat_fun_ZF_set_fun',X0_'Nat_nat_fun'] : % 4.24/6.02 ( iProver_Flat_'fun_app$t'(X0_'ZF_set',X0_'Nat_nat_fun_ZF_set_fun',X0_'Nat_nat_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_'fun_app$i' % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_set_bool_fun',X0_'ZF_set_set_ZF_set_bool_fun_fun',X0_'ZF_set_set'] : % 4.24/6.02 ( iProver_Flat_'fun_app$i'(X0_'ZF_set_bool_fun',X0_'ZF_set_set_ZF_set_bool_fun_fun',X0_'ZF_set_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_set_bool_fun'=iProver_Domain_'ZF_set_bool_fun'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_'uup$' % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B'] : % 4.24/6.02 ( iProver_Flat_'uup$'(X0_'ZF_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_'uwj$' % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_set_bool_fun',X0_'Nat_ZF_set_fun',X0_'Nat_set'] : % 4.24/6.02 ( iProver_Flat_'uwj$'(X0_'ZF_set_bool_fun',X0_'Nat_ZF_set_fun',X0_'Nat_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_set_bool_fun'=iProver_Domain_'ZF_set_bool_fun'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_'image$ba' % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_ZF_prod_set_set',X0_'Nat_ZF_ZF_prod_set_fun',X0_'Nat_set'] : % 4.24/6.02 ( iProver_Flat_'image$ba'(X0_'ZF_ZF_prod_set_set',X0_'Nat_ZF_ZF_prod_set_fun',X0_'Nat_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_ZF_prod_set_set'=iProver_Domain_'ZF_ZF_prod_set_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_'image$bk' % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_bool_fun_set',X0_'ZF_set_ZF_bool_fun_fun',X0_'ZF_set_set'] : % 4.24/6.02 ( iProver_Flat_'image$bk'(X0_'ZF_bool_fun_set',X0_'ZF_set_ZF_bool_fun_fun',X0_'ZF_set_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_bool_fun_set'=iProver_Domain_'ZF_bool_fun_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_'image$ao' % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A_set_set',X0_'ZF_a_set_fun',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_'image$ao'(X0_'A_set_set',X0_'ZF_a_set_fun',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A_set_set'=iProver_Domain_'A_set_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_'collect$a' % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_bool_fun'] : % 4.24/6.02 ( iProver_Flat_'collect$a'(X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_bool_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_'mor$' % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B_set',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_'mor$'(X0_'B_set',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK20 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_bool_fun_fun',X1_'ZF'] : % 4.24/6.02 ( iProver_Flat_sK20(X0_'ZF',X0_'ZF_ZF_bool_fun_fun',X1_'ZF') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK21 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'Nat',X0_'ZF_nat_bool_fun_fun',X0_'ZF'] : % 4.24/6.02 ( iProver_Flat_sK21(X0_'Nat',X0_'ZF_nat_bool_fun_fun',X0_'ZF') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK22 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_ZF_prod',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF'] : % 4.24/6.02 ( iProver_Flat_sK22(X0_'ZF_ZF_prod',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_ZF_prod'=iProver_Domain_'ZF_ZF_prod'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK23 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_fun',X1_'ZF'] : % 4.24/6.02 ( iProver_Flat_sK23(X0_'ZF',X0_'ZF_ZF_fun',X1_'ZF') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK24 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_set_fun',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK24(X0_'ZF',X0_'ZF_ZF_set_fun',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK25 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'Nat',X0_'Nat_ZF_fun',X0_'ZF'] : % 4.24/6.02 ( iProver_Flat_sK25(X0_'Nat',X0_'Nat_ZF_fun',X0_'ZF') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK26 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'Nat',X0_'Nat_ZF_set_fun',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK26(X0_'Nat',X0_'Nat_ZF_set_fun',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK27 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_prod'] : % 4.24/6.02 ( iProver_Flat_sK27(X0_'ZF',X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_prod') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK28 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_prod'] : % 4.24/6.02 ( iProver_Flat_sK28(X0_'ZF',X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_prod') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK29 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B_b_prod'] : % 4.24/6.02 ( iProver_Flat_sK29(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B_b_prod') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK30 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B_b_prod'] : % 4.24/6.02 ( iProver_Flat_sK30(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B_b_prod') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK31 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_ZF_prod',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_set',X0_'ZF'] : % 4.24/6.02 ( iProver_Flat_sK31(X0_'ZF_ZF_prod',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_set',X0_'ZF') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_ZF_prod'=iProver_Domain_'ZF_ZF_prod'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK32 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_fun',X0_'ZF_set',X1_'ZF'] : % 4.24/6.02 ( iProver_Flat_sK32(X0_'ZF',X0_'ZF_ZF_fun',X0_'ZF_set',X1_'ZF') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK33 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_set_fun',X0_'ZF_set',X1_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK33(X0_'ZF',X0_'ZF_ZF_set_fun',X0_'ZF_set',X1_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK34 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_set',X0_'ZF_set_ZF_fun',X0_'ZF_set_set',X0_'ZF'] : % 4.24/6.02 ( iProver_Flat_sK34(X0_'ZF_set',X0_'ZF_set_ZF_fun',X0_'ZF_set_set',X0_'ZF') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK35 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'Nat',X0_'Nat_ZF_set_fun',X0_'Nat_set',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK35(X0_'Nat',X0_'Nat_ZF_set_fun',X0_'Nat_set',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK36 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'B_ZF_fun',X0_'B_set',X0_'ZF'] : % 4.24/6.02 ( iProver_Flat_sK36(X0_'B',X0_'B_ZF_fun',X0_'B_set',X0_'ZF') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK37 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'A_ZF_fun',X0_'A_set',X0_'ZF'] : % 4.24/6.02 ( iProver_Flat_sK37(X0_'A',X0_'A_ZF_fun',X0_'A_set',X0_'ZF') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK38 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_ZF_prod',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_bool_fun',X0_'ZF'] : % 4.24/6.02 ( iProver_Flat_sK38(X0_'ZF_ZF_prod',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_bool_fun',X0_'ZF') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_ZF_prod'=iProver_Domain_'ZF_ZF_prod'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK39 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_fun',X0_'ZF_bool_fun',X1_'ZF'] : % 4.24/6.02 ( iProver_Flat_sK39(X0_'ZF',X0_'ZF_ZF_fun',X0_'ZF_bool_fun',X1_'ZF') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK40 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_set_fun',X0_'ZF_bool_fun',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK40(X0_'ZF',X0_'ZF_ZF_set_fun',X0_'ZF_bool_fun',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK41 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'Nat',X0_'Nat_ZF_set_fun',X0_'Nat_bool_fun',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK41(X0_'Nat',X0_'Nat_ZF_set_fun',X0_'Nat_bool_fun',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK42 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B_a_fun',X1_'B_a_fun',X0_'B_a_fun_b_a_fun_fun',X1_'B_a_fun_b_a_fun_fun'] : % 4.24/6.02 ( iProver_Flat_sK42(X0_'B_a_fun',X1_'B_a_fun',X0_'B_a_fun_b_a_fun_fun',X1_'B_a_fun_b_a_fun_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B_a_fun'=iProver_Domain_'B_a_fun'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK43 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun'] : % 4.24/6.02 ( iProver_Flat_sK43(X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK44 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B_a_fun',X1_'B_a_fun',X0_'B_a_fun_b_a_fun_fun',X1_'B_a_fun_b_a_fun_fun'] : % 4.24/6.02 ( iProver_Flat_sK44(X0_'B_a_fun',X1_'B_a_fun',X0_'B_a_fun_b_a_fun_fun',X1_'B_a_fun_b_a_fun_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B_a_fun'=iProver_Domain_'B_a_fun'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK45 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun'] : % 4.24/6.02 ( iProver_Flat_sK45(X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK46 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A_set',X1_'A_set',X0_'A_set_a_set_fun',X1_'A_set_a_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK46(X0_'A_set',X1_'A_set',X0_'A_set_a_set_fun',X1_'A_set_a_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A_set'=iProver_Domain_'A_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK47 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_set',X1_'ZF_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK47(X0_'ZF_set',X1_'ZF_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK48 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A_set',X1_'A_set',X0_'A_set_a_set_fun',X1_'A_set_a_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK48(X0_'A_set',X1_'A_set',X0_'A_set_a_set_fun',X1_'A_set_a_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A_set'=iProver_Domain_'A_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK49 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_set',X1_'ZF_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK49(X0_'ZF_set',X1_'ZF_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK50 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A_set',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK50(X0_'A_set',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A_set'=iProver_Domain_'A_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK51 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B_set',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK51(X0_'B_set',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK52 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B_a_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK52(X0_'B_a_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B_a_fun'=iProver_Domain_'B_a_fun'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK53 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B_a_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK53(X0_'B_a_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B_a_fun'=iProver_Domain_'B_a_fun'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK54 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A_b_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK54(X0_'A_b_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A_b_fun'=iProver_Domain_'A_b_fun'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK55 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B_b_b_fun_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK55(X0_'B_b_b_fun_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B_b_b_fun_fun'=iProver_Domain_'B_b_b_fun_fun'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK56 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B_c_LSCategory_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK56(X0_'B_c_LSCategory_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B_c_LSCategory_ext'=iProver_Domain_'B_c_LSCategory_ext'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK57 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK57(X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK58 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK58(X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK59 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK59(X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK60 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK60(X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK61 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK61(X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK62 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK62(X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK63 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'Unit',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK63(X0_'Unit',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'Unit'=iProver_Domain_'Unit'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK64 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_bool_fun',X1_'ZF_bool_fun'] : % 4.24/6.02 ( iProver_Flat_sK64(X0_'ZF',X0_'ZF_bool_fun',X1_'ZF_bool_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK65 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext',X1_'ZF'] : % 4.24/6.02 ( iProver_Flat_sK65(X0_'ZF',X0_'ZF_ZF_unit_Category_ext',X1_'ZF') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK66 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK66(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK67 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK67(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK68 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK68(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK69 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK69(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK70 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK70(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK71 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK71(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK72 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK72(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK73 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK73(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK74 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK74(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK75 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK75(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK76 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK76(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK77 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK77(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK78 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK78(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK79 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK79(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK80 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK80(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK81 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK81(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK82 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK82(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK83 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK83(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK84 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK84(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK85 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK85(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK86 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK86(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK87 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK87(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK88 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK88(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK89 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK89(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK90 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK90(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK91 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK91(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK92 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK92(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK93 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK93(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK94 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK94(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK95 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK95(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK96 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK96(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK97 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK97(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK98 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK98(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK99 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK99(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK100 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK100(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK101 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK101(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK102 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK102(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK103 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK103(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK104 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK104(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK105 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK105(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK106 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK106(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK107 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK107(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK108 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK108(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK109 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK109(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK110 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK110(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK111 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK111(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK112 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK112(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK113 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK113(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK114 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK114(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK115 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK115(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK116 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK116(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK117 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK117(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK118 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext',X1_'ZF',X2_'ZF'] : % 4.24/6.02 ( iProver_Flat_sK118(X0_'ZF',X0_'ZF_ZF_unit_Category_ext',X1_'ZF',X2_'ZF') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK119 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_bool_fun',X1_'ZF'] : % 4.24/6.02 ( iProver_Flat_sK119(X0_'ZF',X0_'ZF_bool_fun',X1_'ZF') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK120 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_bool_fun',X1_'ZF'] : % 4.24/6.02 ( iProver_Flat_sK120(X0_'ZF',X0_'ZF_bool_fun',X1_'ZF') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK121 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_bool_fun',X1_'ZF'] : % 4.24/6.02 ( iProver_Flat_sK121(X0_'ZF',X0_'ZF_bool_fun',X1_'ZF') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK122 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_bool_fun',X1_'ZF'] : % 4.24/6.02 ( iProver_Flat_sK122(X0_'ZF',X0_'ZF_bool_fun',X1_'ZF') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK123 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_bool_fun',X1_'ZF_bool_fun'] : % 4.24/6.02 ( iProver_Flat_sK123(X0_'ZF',X0_'ZF_bool_fun',X1_'ZF_bool_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK124 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_bool_fun',X1_'ZF'] : % 4.24/6.02 ( iProver_Flat_sK124(X0_'ZF',X0_'ZF_bool_fun',X1_'ZF') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK125 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_bool_fun',X1_'ZF_bool_fun'] : % 4.24/6.02 ( iProver_Flat_sK125(X0_'ZF',X0_'ZF_bool_fun',X1_'ZF_bool_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK126 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_bool_fun',X1_'ZF'] : % 4.24/6.02 ( iProver_Flat_sK126(X0_'ZF',X0_'ZF_bool_fun',X1_'ZF') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK127 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_prod_ZF_fun'] : % 4.24/6.02 ( iProver_Flat_sK127(X0_'ZF',X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_prod_ZF_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK128 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_prod_ZF_fun'] : % 4.24/6.02 ( iProver_Flat_sK128(X0_'ZF',X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_prod_ZF_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK129 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_bool_fun',X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_prod'] : % 4.24/6.02 ( iProver_Flat_sK129(X0_'ZF',X0_'ZF_bool_fun',X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_prod') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK130 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_bool_fun',X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_prod'] : % 4.24/6.02 ( iProver_Flat_sK130(X0_'ZF',X0_'ZF_bool_fun',X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_prod') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK131 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X1_'ZF',X0_'ZF_ZF_fun',X1_'ZF_ZF_fun'] : % 4.24/6.02 ( iProver_Flat_sK131(X0_'ZF',X1_'ZF',X0_'ZF_ZF_fun',X1_'ZF_ZF_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK132 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X1_'ZF',X0_'ZF_ZF_fun',X2_'ZF'] : % 4.24/6.02 ( iProver_Flat_sK132(X0_'ZF',X1_'ZF',X0_'ZF_ZF_fun',X2_'ZF') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK133 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X1_'ZF',X2_'ZF'] : % 4.24/6.02 ( iProver_Flat_sK133(X0_'ZF',X1_'ZF',X2_'ZF') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK134 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK134(X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK135 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK135(X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK136 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK136(X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK137 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK137(X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK138 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK138(X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK139 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_unit_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK139(X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK140 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X1_'ZF',X0_'ZF_ZF_fun',X2_'ZF'] : % 4.24/6.02 ( iProver_Flat_sK140(X0_'ZF',X1_'ZF',X0_'ZF_ZF_fun',X2_'ZF') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK141 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B_set',X1_'B_set',X0_'B_set_b_set_fun',X1_'B_set_b_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK141(X0_'B_set',X1_'B_set',X0_'B_set_b_set_fun',X1_'B_set_b_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK142 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_set',X1_'ZF_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK142(X0_'ZF_set',X1_'ZF_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK143 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B_set',X1_'B_set',X0_'B_set_b_set_fun',X1_'B_set_b_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK143(X0_'B_set',X1_'B_set',X0_'B_set_b_set_fun',X1_'B_set_b_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK144 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_set',X1_'ZF_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK144(X0_'ZF_set',X1_'ZF_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK145 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'A_set',X0_'A_bool_fun'] : % 4.24/6.02 ( iProver_Flat_sK145(X0_'A',X0_'A_set',X0_'A_bool_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK146 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'B_set',X0_'B_bool_fun'] : % 4.24/6.02 ( iProver_Flat_sK146(X0_'B',X0_'B_set',X0_'B_bool_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK147 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_bool_fun'] : % 4.24/6.02 ( iProver_Flat_sK147(X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_bool_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK148 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_set',X0_'ZF_bool_fun'] : % 4.24/6.02 ( iProver_Flat_sK148(X0_'ZF',X0_'ZF_set',X0_'ZF_bool_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK149 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'A_set',X0_'A_bool_fun',X1_'A_bool_fun'] : % 4.24/6.02 ( iProver_Flat_sK149(X0_'A',X0_'A_set',X0_'A_bool_fun',X1_'A_bool_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK150 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'B_set',X0_'B_bool_fun',X1_'B_bool_fun'] : % 4.24/6.02 ( iProver_Flat_sK150(X0_'B',X0_'B_set',X0_'B_bool_fun',X1_'B_bool_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK151 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_bool_fun',X1_'ZF_set_bool_fun'] : % 4.24/6.02 ( iProver_Flat_sK151(X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_bool_fun',X1_'ZF_set_bool_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK152 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_set',X0_'ZF_bool_fun',X1_'ZF_bool_fun'] : % 4.24/6.02 ( iProver_Flat_sK152(X0_'ZF',X0_'ZF_set',X0_'ZF_bool_fun',X1_'ZF_bool_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK153 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_ZF_ZF_fun_fun',X1_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun',X1_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun'] : % 4.24/6.02 ( iProver_Flat_sK153(X0_'ZF_ZF_ZF_fun_fun',X1_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun',X1_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK154 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_ZF_ZF_fun_fun',X1_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun',X1_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun'] : % 4.24/6.02 ( iProver_Flat_sK154(X0_'ZF_ZF_ZF_fun_fun',X1_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun',X1_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK155 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun'] : % 4.24/6.02 ( iProver_Flat_sK155(X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK156 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun'] : % 4.24/6.02 ( iProver_Flat_sK156(X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK157 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun'] : % 4.24/6.02 ( iProver_Flat_sK157(X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK158 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun'] : % 4.24/6.02 ( iProver_Flat_sK158(X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK159 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_ZF_prod',X0_'ZF_ZF_prod_bool_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK159(X0_'ZF_ZF_prod',X0_'ZF_ZF_prod_bool_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_ZF_prod'=iProver_Domain_'ZF_ZF_prod'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK160 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'Nat',X0_'Nat_bool_fun',X0_'Nat_ZF_set_fun',X0_'ZF_set_set'] : % 4.24/6.02 ( iProver_Flat_sK160(X0_'Nat',X0_'Nat_bool_fun',X0_'Nat_ZF_set_fun',X0_'ZF_set_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK161 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_bool_fun',X0_'ZF_a_fun',X0_'A_set'] : % 4.24/6.02 ( iProver_Flat_sK161(X0_'ZF',X0_'ZF_bool_fun',X0_'ZF_a_fun',X0_'A_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK162 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_bool_fun',X0_'ZF_b_fun',X0_'B_set'] : % 4.24/6.02 ( iProver_Flat_sK162(X0_'ZF',X0_'ZF_bool_fun',X0_'ZF_b_fun',X0_'B_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK163 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_bool_fun',X0_'ZF_ZF_fun',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK163(X0_'ZF',X0_'ZF_bool_fun',X0_'ZF_ZF_fun',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK164 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_bool_fun',X0_'ZF_ZF_set_fun',X0_'ZF_set_set'] : % 4.24/6.02 ( iProver_Flat_sK164(X0_'ZF',X0_'ZF_bool_fun',X0_'ZF_ZF_set_fun',X0_'ZF_set_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK165 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X1_'A',X0_'A_a_fun',X0_'A_set'] : % 4.24/6.02 ( iProver_Flat_sK165(X0_'A',X1_'A',X0_'A_a_fun',X0_'A_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK166 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'A',X0_'B_a_fun',X0_'B_set'] : % 4.24/6.02 ( iProver_Flat_sK166(X0_'B',X0_'A',X0_'B_a_fun',X0_'B_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK167 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'A',X0_'ZF_a_fun',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK167(X0_'ZF',X0_'A',X0_'ZF_a_fun',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK168 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'B',X0_'A_b_fun',X0_'A_set'] : % 4.24/6.02 ( iProver_Flat_sK168(X0_'A',X0_'B',X0_'A_b_fun',X0_'A_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK169 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X1_'B',X0_'B_b_fun',X0_'B_set'] : % 4.24/6.02 ( iProver_Flat_sK169(X0_'B',X1_'B',X0_'B_b_fun',X0_'B_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK170 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'B',X0_'ZF_b_fun',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK170(X0_'ZF',X0_'B',X0_'ZF_b_fun',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK171 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'ZF',X0_'A_ZF_fun',X0_'A_set'] : % 4.24/6.02 ( iProver_Flat_sK171(X0_'A',X0_'ZF',X0_'A_ZF_fun',X0_'A_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK172 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'ZF',X0_'B_ZF_fun',X0_'B_set'] : % 4.24/6.02 ( iProver_Flat_sK172(X0_'B',X0_'ZF',X0_'B_ZF_fun',X0_'B_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK173 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X1_'ZF',X0_'ZF_ZF_fun',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK173(X0_'ZF',X1_'ZF',X0_'ZF_ZF_fun',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK174 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_set',X0_'A',X0_'ZF_set_a_fun',X0_'ZF_set_set'] : % 4.24/6.02 ( iProver_Flat_sK174(X0_'ZF_set',X0_'A',X0_'ZF_set_a_fun',X0_'ZF_set_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK175 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK175(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK176 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK176(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK177 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK177(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK178 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK178(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK179 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK179(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK180 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK180(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK181 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK181(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK182 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 4.24/6.02 ( iProver_Flat_sK182(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK183 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_ZF_prod',X0_'ZF',X0_'ZF_ZF_prod_ZF_fun'] : % 4.24/6.02 ( iProver_Flat_sK183(X0_'ZF_ZF_prod',X0_'ZF',X0_'ZF_ZF_prod_ZF_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_ZF_prod'=iProver_Domain_'ZF_ZF_prod'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK184 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'A',X0_'ZF_a_fun'] : % 4.24/6.02 ( iProver_Flat_sK184(X0_'ZF',X0_'A',X0_'ZF_a_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK185 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'B',X0_'ZF_b_fun'] : % 4.24/6.02 ( iProver_Flat_sK185(X0_'ZF',X0_'B',X0_'ZF_b_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK186 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X1_'ZF',X0_'ZF_ZF_fun'] : % 4.24/6.02 ( iProver_Flat_sK186(X0_'ZF',X1_'ZF',X0_'ZF_ZF_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK187 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK187(X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK188 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'Nat',X0_'A',X0_'Nat_a_fun'] : % 4.24/6.02 ( iProver_Flat_sK188(X0_'Nat',X0_'A',X0_'Nat_a_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK189 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'Nat',X0_'B',X0_'Nat_b_fun'] : % 4.24/6.02 ( iProver_Flat_sK189(X0_'Nat',X0_'B',X0_'Nat_b_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK190 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'Nat',X0_'ZF',X0_'Nat_ZF_fun'] : % 4.24/6.02 ( iProver_Flat_sK190(X0_'Nat',X0_'ZF',X0_'Nat_ZF_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK191 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'Nat',X0_'ZF_set',X0_'Nat_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK191(X0_'Nat',X0_'ZF_set',X0_'Nat_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK192 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK192(X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK193 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK193(X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK194 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X1_'A',X0_'A_a_set_fun',X0_'A_set'] : % 4.24/6.02 ( iProver_Flat_sK194(X0_'A',X1_'A',X0_'A_a_set_fun',X0_'A_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK195 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'A',X0_'B_a_set_fun',X0_'B_set'] : % 4.24/6.02 ( iProver_Flat_sK195(X0_'B',X0_'A',X0_'B_a_set_fun',X0_'B_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK196 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'A',X0_'ZF_a_set_fun',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK196(X0_'ZF',X0_'A',X0_'ZF_a_set_fun',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK197 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'B',X0_'A_b_set_fun',X0_'A_set'] : % 4.24/6.02 ( iProver_Flat_sK197(X0_'A',X0_'B',X0_'A_b_set_fun',X0_'A_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK198 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X1_'B',X0_'B_b_set_fun',X0_'B_set'] : % 4.24/6.02 ( iProver_Flat_sK198(X0_'B',X1_'B',X0_'B_b_set_fun',X0_'B_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK199 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'B',X0_'ZF_b_set_fun',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK199(X0_'ZF',X0_'B',X0_'ZF_b_set_fun',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK200 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'Nat',X0_'ZF',X0_'Nat_ZF_set_fun',X0_'Nat_set'] : % 4.24/6.02 ( iProver_Flat_sK200(X0_'Nat',X0_'ZF',X0_'Nat_ZF_set_fun',X0_'Nat_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK201 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'ZF',X0_'A_ZF_set_fun',X0_'A_set'] : % 4.24/6.02 ( iProver_Flat_sK201(X0_'A',X0_'ZF',X0_'A_ZF_set_fun',X0_'A_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK202 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'ZF',X0_'B_ZF_set_fun',X0_'B_set'] : % 4.24/6.02 ( iProver_Flat_sK202(X0_'B',X0_'ZF',X0_'B_ZF_set_fun',X0_'B_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK203 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X1_'ZF',X0_'ZF_ZF_set_fun',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK203(X0_'ZF',X1_'ZF',X0_'ZF_ZF_set_fun',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK204 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'Nat',X0_'Nat_set',X0_'Nat_ZF_set_fun',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK204(X0_'Nat',X0_'Nat_set',X0_'Nat_ZF_set_fun',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK205 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_set',X0_'Nat_set',X0_'Nat_ZF_set_fun',X1_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK205(X0_'ZF_set',X0_'Nat_set',X0_'Nat_ZF_set_fun',X1_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK206 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'A_set',X0_'A_ZF_set_fun',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK206(X0_'A',X0_'A_set',X0_'A_ZF_set_fun',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK207 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_set',X0_'A_set',X0_'A_ZF_set_fun',X1_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK207(X0_'ZF_set',X0_'A_set',X0_'A_ZF_set_fun',X1_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK208 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'B_set',X0_'B_ZF_set_fun',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK208(X0_'B',X0_'B_set',X0_'B_ZF_set_fun',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK209 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_set',X0_'B_set',X0_'B_ZF_set_fun',X1_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK209(X0_'ZF_set',X0_'B_set',X0_'B_ZF_set_fun',X1_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK210 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun',X1_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK210(X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun',X1_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK211 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_set',X1_'ZF_set',X0_'ZF_ZF_set_fun',X2_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK211(X0_'ZF_set',X1_'ZF_set',X0_'ZF_ZF_set_fun',X2_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK212 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK212(X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK213 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK213(X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK214 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'Nat',X0_'Nat_set',X1_'Nat_set',X0_'Nat_ZF_set_fun',X1_'Nat_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK214(X0_'Nat',X0_'Nat_set',X1_'Nat_set',X0_'Nat_ZF_set_fun',X1_'Nat_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK215 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'Nat',X0_'Nat_set',X0_'A_set',X0_'Nat_ZF_set_fun',X0_'A_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK215(X0_'Nat',X0_'Nat_set',X0_'A_set',X0_'Nat_ZF_set_fun',X0_'A_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK216 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'Nat',X0_'Nat_set',X0_'B_set',X0_'Nat_ZF_set_fun',X0_'B_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK216(X0_'Nat',X0_'Nat_set',X0_'B_set',X0_'Nat_ZF_set_fun',X0_'B_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK217 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'Nat',X0_'Nat_set',X0_'ZF_set',X0_'Nat_ZF_set_fun',X0_'ZF_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK217(X0_'Nat',X0_'Nat_set',X0_'ZF_set',X0_'Nat_ZF_set_fun',X0_'ZF_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK218 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'A_set',X0_'Nat_set',X0_'A_ZF_set_fun',X0_'Nat_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK218(X0_'A',X0_'A_set',X0_'Nat_set',X0_'A_ZF_set_fun',X0_'Nat_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK219 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'A_set',X1_'A_set',X0_'A_ZF_set_fun',X1_'A_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK219(X0_'A',X0_'A_set',X1_'A_set',X0_'A_ZF_set_fun',X1_'A_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK220 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'A_set',X0_'B_set',X0_'A_ZF_set_fun',X0_'B_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK220(X0_'A',X0_'A_set',X0_'B_set',X0_'A_ZF_set_fun',X0_'B_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK221 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'A_set',X0_'ZF_set',X0_'A_ZF_set_fun',X0_'ZF_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK221(X0_'A',X0_'A_set',X0_'ZF_set',X0_'A_ZF_set_fun',X0_'ZF_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK222 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'B_set',X0_'Nat_set',X0_'B_ZF_set_fun',X0_'Nat_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK222(X0_'B',X0_'B_set',X0_'Nat_set',X0_'B_ZF_set_fun',X0_'Nat_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK223 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'B_set',X0_'A_set',X0_'B_ZF_set_fun',X0_'A_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK223(X0_'B',X0_'B_set',X0_'A_set',X0_'B_ZF_set_fun',X0_'A_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK224 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'Nat',X0_'Nat_set',X0_'Nat_ZF_set_fun',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK224(X0_'Nat',X0_'Nat_set',X0_'Nat_ZF_set_fun',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK225 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'A_set',X0_'A_ZF_set_fun',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK225(X0_'A',X0_'A_set',X0_'A_ZF_set_fun',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK226 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'B_set',X0_'B_ZF_set_fun',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK226(X0_'B',X0_'B_set',X0_'B_ZF_set_fun',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK227 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun',X1_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK227(X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun',X1_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK228 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK228(X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK229 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK229(X0_'ZF',X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK230 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'Nat',X0_'Nat_ZF_set_fun',X1_'Nat_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK230(X0_'Nat',X0_'Nat_ZF_set_fun',X1_'Nat_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK231 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'Nat',X0_'Nat_ZF_set_fun',X0_'Nat_set',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK231(X0_'Nat',X0_'Nat_ZF_set_fun',X0_'Nat_set',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK232 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'A_ZF_set_fun',X0_'A_set',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK232(X0_'A',X0_'A_ZF_set_fun',X0_'A_set',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK233 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'B_ZF_set_fun',X0_'B_set',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK233(X0_'B',X0_'B_ZF_set_fun',X0_'B_set',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK234 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_set_fun',X0_'ZF_set',X1_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK234(X0_'ZF',X0_'ZF_ZF_set_fun',X0_'ZF_set',X1_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK235 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_set',X0_'ZF_set_ZF_set_fun',X0_'ZF_set_set',X1_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK235(X0_'ZF_set',X0_'ZF_set_ZF_set_fun',X0_'ZF_set_set',X1_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK236 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'Nat',X0_'Nat_set',X0_'Nat_ZF_set_fun',X1_'Nat_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK236(X0_'Nat',X0_'Nat_set',X0_'Nat_ZF_set_fun',X1_'Nat_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK237 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'A_set',X0_'A_ZF_set_fun',X1_'A_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK237(X0_'A',X0_'A_set',X0_'A_ZF_set_fun',X1_'A_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK238 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'B_set',X0_'B_ZF_set_fun',X1_'B_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK238(X0_'B',X0_'B_set',X0_'B_ZF_set_fun',X1_'B_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK239 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK239(X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK240 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK240(X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK241 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'Nat',X0_'Nat_set',X0_'Nat_ZF_set_fun',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK241(X0_'Nat',X0_'Nat_set',X0_'Nat_ZF_set_fun',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK242 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'A_set',X0_'A_ZF_set_fun',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK242(X0_'A',X0_'A_set',X0_'A_ZF_set_fun',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK243 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'B_set',X0_'B_ZF_set_fun',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK243(X0_'B',X0_'B_set',X0_'B_ZF_set_fun',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK244 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun',X1_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK244(X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun',X1_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK245 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK245(X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK246 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'Nat',X0_'Nat_ZF_set_fun',X0_'Nat_set',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK246(X0_'Nat',X0_'Nat_ZF_set_fun',X0_'Nat_set',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK247 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'A_ZF_set_fun',X0_'A_set',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK247(X0_'A',X0_'A_ZF_set_fun',X0_'A_set',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK248 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'B_ZF_set_fun',X0_'B_set',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK248(X0_'B',X0_'B_ZF_set_fun',X0_'B_set',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK249 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_ZF_set_fun',X0_'ZF_set',X1_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK249(X0_'ZF',X0_'ZF_ZF_set_fun',X0_'ZF_set',X1_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK250 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_set',X0_'ZF_set_ZF_set_fun',X0_'ZF_set_set',X1_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK250(X0_'ZF_set',X0_'ZF_set_ZF_set_fun',X0_'ZF_set_set',X1_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK251 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X1_'A',X0_'A_a_set_fun',X0_'A_set'] : % 4.24/6.02 ( iProver_Flat_sK251(X0_'A',X1_'A',X0_'A_a_set_fun',X0_'A_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK252 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'A',X0_'B_a_set_fun',X0_'B_set'] : % 4.24/6.02 ( iProver_Flat_sK252(X0_'B',X0_'A',X0_'B_a_set_fun',X0_'B_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK253 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'A',X0_'ZF_a_set_fun',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK253(X0_'ZF',X0_'A',X0_'ZF_a_set_fun',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK254 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'B',X0_'A_b_set_fun',X0_'A_set'] : % 4.24/6.02 ( iProver_Flat_sK254(X0_'A',X0_'B',X0_'A_b_set_fun',X0_'A_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK255 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X1_'B',X0_'B_b_set_fun',X0_'B_set'] : % 4.24/6.02 ( iProver_Flat_sK255(X0_'B',X1_'B',X0_'B_b_set_fun',X0_'B_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK256 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'B',X0_'ZF_b_set_fun',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK256(X0_'ZF',X0_'B',X0_'ZF_b_set_fun',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK257 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'Nat',X0_'ZF',X0_'Nat_ZF_set_fun',X0_'Nat_set'] : % 4.24/6.02 ( iProver_Flat_sK257(X0_'Nat',X0_'ZF',X0_'Nat_ZF_set_fun',X0_'Nat_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK258 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'ZF',X0_'A_ZF_set_fun',X0_'A_set'] : % 4.24/6.02 ( iProver_Flat_sK258(X0_'A',X0_'ZF',X0_'A_ZF_set_fun',X0_'A_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK259 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'ZF',X0_'B_ZF_set_fun',X0_'B_set'] : % 4.24/6.02 ( iProver_Flat_sK259(X0_'B',X0_'ZF',X0_'B_ZF_set_fun',X0_'B_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK260 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X1_'ZF',X0_'ZF_ZF_set_fun',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK260(X0_'ZF',X1_'ZF',X0_'ZF_ZF_set_fun',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK261 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'Nat',X0_'Nat_set',X0_'Nat_ZF_set_fun',X1_'Nat_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK261(X0_'Nat',X0_'Nat_set',X0_'Nat_ZF_set_fun',X1_'Nat_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK262 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'A_set',X0_'A_ZF_set_fun',X1_'A_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK262(X0_'A',X0_'A_set',X0_'A_ZF_set_fun',X1_'A_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK263 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'B_set',X0_'B_ZF_set_fun',X1_'B_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK263(X0_'B',X0_'B_set',X0_'B_ZF_set_fun',X1_'B_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK264 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK264(X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK265 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK265(X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK266 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'Nat',X0_'Nat_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK266(X0_'Nat',X0_'Nat_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK267 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'Nat',X0_'Nat_set',X0_'Nat_ZF_set_fun',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK267(X0_'Nat',X0_'Nat_set',X0_'Nat_ZF_set_fun',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK268 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'A_set',X0_'A_ZF_set_fun',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK268(X0_'A',X0_'A_set',X0_'A_ZF_set_fun',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK269 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'B_set',X0_'B_ZF_set_fun',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK269(X0_'B',X0_'B_set',X0_'B_ZF_set_fun',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK270 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun',X1_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK270(X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun',X1_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK271 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK271(X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK272 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X1_'A',X0_'A_a_set_fun',X0_'A_set'] : % 4.24/6.02 ( iProver_Flat_sK272(X0_'A',X1_'A',X0_'A_a_set_fun',X0_'A_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK273 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'A',X0_'B_a_set_fun',X0_'B_set'] : % 4.24/6.02 ( iProver_Flat_sK273(X0_'B',X0_'A',X0_'B_a_set_fun',X0_'B_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK274 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'A',X0_'ZF_a_set_fun',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK274(X0_'ZF',X0_'A',X0_'ZF_a_set_fun',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK275 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'B',X0_'A_b_set_fun',X0_'A_set'] : % 4.24/6.02 ( iProver_Flat_sK275(X0_'A',X0_'B',X0_'A_b_set_fun',X0_'A_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK276 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X1_'B',X0_'B_b_set_fun',X0_'B_set'] : % 4.24/6.02 ( iProver_Flat_sK276(X0_'B',X1_'B',X0_'B_b_set_fun',X0_'B_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK277 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'B',X0_'ZF_b_set_fun',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK277(X0_'ZF',X0_'B',X0_'ZF_b_set_fun',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK278 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'Nat',X0_'ZF',X0_'Nat_ZF_set_fun',X0_'Nat_set'] : % 4.24/6.02 ( iProver_Flat_sK278(X0_'Nat',X0_'ZF',X0_'Nat_ZF_set_fun',X0_'Nat_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK279 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'ZF',X0_'A_ZF_set_fun',X0_'A_set'] : % 4.24/6.02 ( iProver_Flat_sK279(X0_'A',X0_'ZF',X0_'A_ZF_set_fun',X0_'A_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK280 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'ZF',X0_'B_ZF_set_fun',X0_'B_set'] : % 4.24/6.02 ( iProver_Flat_sK280(X0_'B',X0_'ZF',X0_'B_ZF_set_fun',X0_'B_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK281 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X1_'ZF',X0_'ZF_ZF_set_fun',X0_'ZF_set'] : % 4.24/6.02 ( iProver_Flat_sK281(X0_'ZF',X1_'ZF',X0_'ZF_ZF_set_fun',X0_'ZF_set') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK282 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'Nat',X0_'Nat_set',X0_'ZF',X0_'Nat_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK282(X0_'Nat',X0_'Nat_set',X0_'ZF',X0_'Nat_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK283 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'A_set',X1_'A',X0_'A_a_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK283(X0_'A',X0_'A_set',X1_'A',X0_'A_a_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK284 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'A_set',X0_'B',X0_'A_b_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK284(X0_'A',X0_'A_set',X0_'B',X0_'A_b_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK285 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'A',X0_'A_set',X0_'ZF',X0_'A_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK285(X0_'A',X0_'A_set',X0_'ZF',X0_'A_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'A'=iProver_Domain_'A'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK286 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'B_set',X0_'A',X0_'B_a_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK286(X0_'B',X0_'B_set',X0_'A',X0_'B_a_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK287 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'B_set',X1_'B',X0_'B_b_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK287(X0_'B',X0_'B_set',X1_'B',X0_'B_b_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK288 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'B',X0_'B_set',X0_'ZF',X0_'B_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK288(X0_'B',X0_'B_set',X0_'ZF',X0_'B_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'B'=iProver_Domain_'B'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK289 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_set',X0_'A',X0_'ZF_a_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK289(X0_'ZF',X0_'ZF_set',X0_'A',X0_'ZF_a_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK290 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_set',X0_'B',X0_'ZF_b_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK290(X0_'ZF',X0_'ZF_set',X0_'B',X0_'ZF_b_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % 4.24/6.02 %------ Positive definition of iProver_Flat_sK291 % 4.24/6.02 fof(lit_def,axiom, % 4.24/6.02 (! [X0_'ZF',X0_'ZF_set',X1_'ZF',X0_'ZF_ZF_set_fun'] : % 4.24/6.02 ( iProver_Flat_sK291(X0_'ZF',X0_'ZF_set',X1_'ZF',X0_'ZF_ZF_set_fun') <=> % 4.24/6.02 ( % 4.24/6.02 ( % 4.24/6.02 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 4.24/6.02 ) % 4.24/6.02 % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ) % 4.24/6.02 ). % 4.24/6.02 % SZS output end Model for theBenchmark.p % 4.24/6.02 %------------------------------------------------------------------------------