0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/run_iprover 120 /export/starexec/sandbox/benchmark/theBenchmark.p SAT 0.12/0.33 % Computer : n013.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Wed Jul 30 05:43:34 EDT 2025 0.12/0.33 % CPUTime : 0.19/0.45 /export/starexec/sandbox/solver/bin/SPCForProblem: Command not found. 0.19/0.45 Running model finding 0.19/0.45 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core-casc.sh -l tptp -s fnt_schedule -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.19/0.46 0.19/0.46 % ======== iProver multi-core TPTP/SMT ========= 0.19/0.46 0.19/0.46 % Detected problem language: tptp 0.19/0.47 % Checking... 0.52/1.15 % Proving... 4.50/1.85 % SZS status Started for theBenchmark.p 4.50/1.85 % SZS status Satisfiable for theBenchmark.p 4.50/1.85 4.50/1.85 %---------------- iProver v3.9.3 (pre CASC 2025/SMT-COMP 2025) ----------------% 4.50/1.85 4.50/1.85 ------ iProver source info 4.50/1.85 4.50/1.85 git: date: 2025-07-21 10:15:00 +0000 4.50/1.85 git: sha1: d7ebeb21b290b8724a1e08b4c4a533d26e8c009f 4.50/1.85 git: non_committed_changes: true 4.50/1.85 4.50/1.85 ------ Parsing... 4.50/1.85 ------ Clausification by vclausify_rel & Parsing by iProver... 4.50/1.85 ------ Proving... 4.50/1.85 ------ Problem Properties 4.50/1.85 4.50/1.85 4.50/1.85 clauses 1323 4.50/1.85 conjectures 0 4.50/1.85 EPR 31 4.50/1.85 Horn 1135 4.50/1.85 unary 324 4.50/1.85 binary 611 4.50/1.85 lits 3013 4.50/1.85 lits eq 700 4.50/1.85 fd_pure 1 4.50/1.85 fd_pseudo 0 4.50/1.85 fd_cond 1 4.50/1.85 fd_pseudo_cond 80 4.50/1.85 AC symbols 0 4.50/1.85 4.50/1.85 ------ Input Options Time Limit: Unbounded 4.50/1.85 4.50/1.85 4.50/1.85 ------ Finite Models: 4.50/1.85 4.50/1.85 ------ lit_activity_flag true 4.50/1.85 4.50/1.85 4.50/1.85 ------ Trying domains of size >= : 1 4.50/1.85 ------ 4.50/1.85 Current options: 4.50/1.85 ------ 4.50/1.85 4.50/1.85 ------ Input Options 4.50/1.85 4.50/1.85 --out_options all 4.50/1.85 --tptp_safe_out true 4.50/1.85 --problem_path "" 4.50/1.85 --include_path "" 4.50/1.85 --clausifier res/vclausify_rel 4.50/1.85 --clausifier_options --mode tclausify -t 41.66 --show_fool true -updr off 4.50/1.85 --stdin false 4.50/1.85 --proof_out true 4.50/1.85 --proof_dot_file "" 4.50/1.85 --proof_reduce_dot [] 4.50/1.85 --suppress_sat_res false 4.50/1.85 --suppress_unsat_res true 4.50/1.85 --stats_out none 4.50/1.85 --stats_mem false 4.50/1.85 --theory_stats_out false 4.50/1.85 4.50/1.85 ------ General Options 4.50/1.85 4.50/1.85 --fof false 4.50/1.85 --time_out_real 124.99 4.50/1.86 --time_out_virtual -1. 4.50/1.86 --rnd_seed 13 4.50/1.86 --symbol_type_check false 4.50/1.86 --clausify_out false 4.50/1.86 --sig_cnt_out false 4.50/1.86 --trig_cnt_out false 4.50/1.86 --trig_cnt_out_tolerance 1. 4.50/1.86 --trig_cnt_out_sk_spl false 4.50/1.86 --abstr_cl_out false 4.50/1.86 4.50/1.86 ------ Interactive Mode 4.50/1.86 4.50/1.86 --interactive_mode false 4.50/1.86 --external_ip_address "" 4.50/1.86 --external_port 0 4.50/1.86 4.50/1.86 ------ Global Options 4.50/1.86 4.50/1.86 --schedule none 4.50/1.86 --add_important_lit false 4.50/1.86 --prop_solver_per_cl 500 4.50/1.86 --subs_bck_mult 8 4.50/1.86 --min_unsat_core false 4.50/1.86 --soft_assumptions false 4.50/1.86 --soft_lemma_size 3 4.50/1.86 --prop_impl_unit_size 0 4.50/1.86 --prop_impl_unit [] 4.50/1.86 --share_sel_clauses true 4.50/1.86 --reset_solvers false 4.50/1.86 --bc_imp_inh [conj_cone] 4.50/1.86 --conj_cone_tolerance 3. 4.50/1.86 --extra_neg_conj none 4.50/1.86 --large_theory_mode true 4.50/1.86 --prolific_symb_bound 200 4.50/1.86 --lt_threshold 2000 4.50/1.86 --clause_weak_htbl true 4.50/1.86 --gc_record_bc_elim false 4.50/1.86 4.50/1.86 ------ Preprocessing Options 4.50/1.86 4.50/1.86 --preprocessing_flag false 4.50/1.86 --time_out_prep_mult 0.1 4.50/1.86 --splitting_mode input 4.50/1.86 --splitting_grd true 4.50/1.86 --splitting_cvd false 4.50/1.86 --splitting_cvd_svl false 4.50/1.86 --splitting_nvd 32 4.50/1.86 --sub_typing false 4.50/1.86 --prep_eq_flat_conj false 4.50/1.86 --prep_eq_flat_all_gr false 4.50/1.86 --prep_gs_sim true 4.50/1.86 --prep_unflatten true 4.50/1.86 --prep_res_sim true 4.50/1.86 --prep_sup_sim_all true 4.50/1.86 --prep_sup_sim_sup false 4.50/1.86 --prep_upred true 4.50/1.86 --prep_well_definedness true 4.50/1.86 --prep_sem_filter exhaustive 4.50/1.86 --prep_sem_filter_out false 4.50/1.86 --pred_elim true 4.50/1.86 --res_sim_input true 4.50/1.86 --eq_ax_congr_red true 4.50/1.86 --pure_diseq_elim true 4.50/1.86 --brand_transform false 4.50/1.86 --non_eq_to_eq false 4.50/1.86 --prep_def_merge true 4.50/1.86 --prep_def_merge_prop_impl false 4.50/1.86 --prep_def_merge_mbd true 4.50/1.86 --prep_def_merge_tr_red false 4.50/1.86 --prep_def_merge_tr_cl false 4.50/1.86 --smt_preprocessing false 4.50/1.86 --smt_ac_axioms fast 4.50/1.86 --preprocessed_out false 4.50/1.86 --preprocessed_stats false 4.50/1.86 4.50/1.86 ------ Abstraction refinement Options 4.50/1.86 4.50/1.86 --abstr_ref [] 4.50/1.86 --abstr_ref_prep false 4.50/1.86 --abstr_ref_until_sat false 4.50/1.86 --abstr_ref_sig_restrict funpre 4.50/1.86 --abstr_ref_af_restrict_to_split_sk false 4.50/1.86 --abstr_ref_under [] 4.50/1.86 4.50/1.86 ------ SAT Options 4.50/1.86 4.50/1.86 --sat_mode true 4.50/1.86 --sat_fm_restart_options "" 4.50/1.86 --sat_gr_def false 4.50/1.86 --sat_epr_types true 4.50/1.86 --sat_non_cyclic_types false 4.50/1.86 --sat_finite_models true 4.50/1.86 --sat_fm_lemmas false 4.50/1.86 --sat_fm_prep false 4.50/1.86 --sat_fm_uc_incr true 4.50/1.86 --sat_out_model pos 4.50/1.86 --sat_out_clauses false 4.50/1.86 4.50/1.86 ------ QBF Options 4.50/1.86 4.50/1.86 --qbf_mode false 4.50/1.86 --qbf_elim_univ false 4.50/1.86 --qbf_dom_inst none 4.50/1.86 --qbf_dom_pre_inst false 4.50/1.86 --qbf_sk_in false 4.50/1.86 --qbf_pred_elim true 4.50/1.86 --qbf_split 512 4.50/1.86 4.50/1.86 ------ BMC1 Options 4.50/1.86 4.50/1.86 --bmc1_incremental false 4.50/1.86 --bmc1_axioms reachable_all 4.50/1.86 --bmc1_min_bound 0 4.50/1.86 --bmc1_max_bound -1 4.50/1.86 --bmc1_max_bound_default -1 4.50/1.86 --bmc1_symbol_reachability true 4.50/1.86 --bmc1_property_lemmas false 4.50/1.86 --bmc1_k_induction false 4.50/1.86 --bmc1_non_equiv_states false 4.50/1.86 --bmc1_deadlock false 4.50/1.86 --bmc1_ucm false 4.50/1.86 --bmc1_add_unsat_core none 4.50/1.86 --bmc1_unsat_core_children false 4.50/1.86 --bmc1_unsat_core_extrapolate_axioms false 4.50/1.86 --bmc1_out_stat full 4.50/1.86 --bmc1_ground_init false 4.50/1.86 --bmc1_pre_inst_next_state false 4.50/1.86 --bmc1_pre_inst_state false 4.50/1.86 --bmc1_pre_inst_reach_state false 4.50/1.86 --bmc1_out_unsat_core false 4.50/1.86 --bmc1_aig_witness_out false 4.50/1.86 --bmc1_verbose false 4.50/1.86 --bmc1_dump_clauses_tptp false 4.50/1.86 --bmc1_dump_unsat_core_tptp false 4.50/1.86 --bmc1_dump_file - 4.50/1.86 --bmc1_ucm_expand_uc_limit 128 4.50/1.86 --bmc1_ucm_n_expand_iterations 6 4.50/1.86 --bmc1_ucm_extend_mode 1 4.50/1.86 --bmc1_ucm_init_mode 2 4.50/1.86 --bmc1_ucm_cone_mode none 4.50/1.86 --bmc1_ucm_reduced_relation_type 0 4.50/1.86 --bmc1_ucm_relax_model 4 4.50/1.86 --bmc1_ucm_full_tr_after_sat true 4.50/1.86 --bmc1_ucm_expand_neg_assumptions false 4.50/1.86 --bmc1_ucm_layered_model none 4.50/1.86 --bmc1_ucm_max_lemma_size 10 4.50/1.86 4.50/1.86 ------ AIG Options 4.50/1.86 4.50/1.86 --aig_mode false 4.50/1.86 4.50/1.86 ------ Instantiation Options 4.50/1.86 4.50/1.86 --instantiation_flag true 4.50/1.86 --inst_sos_flag false 4.50/1.86 --inst_sos_phase true 4.50/1.86 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb] 4.50/1.86 --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb] 4.50/1.86 --inst_lit_sel_side num_symb 4.50/1.86 --inst_solver_per_active 1400 4.50/1.86 --inst_solver_calls_frac 1. 4.50/1.86 --inst_to_smt_solver true 4.50/1.86 --inst_passive_queue_type priority_queues 4.50/1.86 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]] 4.50/1.86 --inst_passive_queues_freq [25;2] 4.50/1.86 --inst_dismatching true 4.50/1.86 --inst_eager_unprocessed_to_passive true 4.50/1.86 --inst_unprocessed_bound 1000 4.50/1.86 --inst_prop_sim_given true 4.50/1.86 --inst_prop_sim_new false 4.50/1.86 --inst_subs_new false 4.50/1.86 --inst_eq_res_simp false 4.50/1.86 --inst_subs_given false 4.50/1.86 --inst_orphan_elimination true 4.50/1.86 --inst_learning_loop_flag true 4.50/1.86 --inst_learning_start 3000 4.50/1.86 --inst_learning_factor 2 4.50/1.86 --inst_start_prop_sim_after_learn 3 4.50/1.86 --inst_sel_renew solver 4.50/1.86 --inst_lit_activity_flag true 4.50/1.86 --inst_restr_to_given false 4.50/1.86 --inst_activity_threshold 500 4.50/1.86 4.50/1.86 ------ Resolution Options 4.50/1.86 4.50/1.86 --resolution_flag false 4.50/1.86 --res_lit_sel adaptive 4.50/1.86 --res_lit_sel_side none 4.50/1.86 --res_ordering kbo 4.50/1.86 --res_to_prop_solver active 4.50/1.86 --res_prop_simpl_new false 4.50/1.86 --res_prop_simpl_given true 4.50/1.86 --res_to_smt_solver true 4.50/1.86 --res_passive_queue_type priority_queues 4.50/1.86 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]] 4.50/1.86 --res_passive_queues_freq [15;5] 4.50/1.86 --res_forward_subs full 4.50/1.86 --res_backward_subs full 4.50/1.86 --res_forward_subs_resolution true 4.50/1.86 --res_backward_subs_resolution true 4.50/1.86 --res_orphan_elimination true 4.50/1.86 --res_time_limit 300. 4.50/1.86 4.50/1.86 ------ Superposition Options 4.50/1.86 4.50/1.86 --superposition_flag false 4.50/1.86 --sup_passive_queue_type priority_queues 4.50/1.86 --sup_passive_queues [[-conj_dist;-num_symb];[+score;+min_def_symb;-max_atom_input_occur;+conj_non_prolific_symb];[+age;-num_symb];[+score;-num_symb]] 4.50/1.86 --sup_passive_queues_freq [8;1;4;4] 4.50/1.86 --demod_completeness_check fast 4.50/1.86 --demod_use_ground true 4.50/1.86 --sup_unprocessed_bound 0 4.50/1.86 --sup_to_prop_solver passive 4.50/1.86 --sup_prop_simpl_new true 4.50/1.86 --sup_prop_simpl_given true 4.50/1.86 --sup_fun_splitting false 4.50/1.86 --sup_iter_deepening 2 4.50/1.86 --sup_restarts_mult 12 4.50/1.86 --sup_score sim_d_gen 4.50/1.86 --sup_share_score_frac 0.2 4.50/1.86 --sup_share_max_num_cl 500 4.50/1.86 --sup_ordering kbo 4.50/1.86 --sup_symb_ordering invfreq 4.50/1.86 --sup_term_weight default 4.50/1.86 4.50/1.86 ------ Superposition Simplification Setup 4.50/1.86 4.50/1.86 --sup_indices_passive [LightNormIndex;FwDemodIndex] 4.50/1.86 --sup_full_triv [SMTSimplify;PropSubs] 4.50/1.86 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] 4.50/1.86 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 4.50/1.86 --sup_immed_triv [] 4.50/1.86 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes] 4.50/1.86 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes] 4.50/1.86 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod] 4.50/1.86 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 4.50/1.86 --sup_input_triv [Unflattening;SMTSimplify] 4.50/1.86 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] 4.50/1.86 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 4.50/1.86 --sup_full_fixpoint true 4.50/1.86 --sup_main_fixpoint true 4.50/1.86 --sup_immed_fixpoint false 4.50/1.86 --sup_input_fixpoint true 4.50/1.86 --sup_cache_sim none 4.50/1.86 --sup_smt_interval 500 4.50/1.86 --sup_bw_gjoin_interval 0 4.50/1.86 4.50/1.86 ------ Combination Options 4.50/1.86 4.50/1.86 --comb_mode clause_based 4.50/1.86 --comb_inst_mult 5 4.50/1.86 --comb_res_mult 1 4.50/1.86 --comb_sup_mult 8 4.50/1.86 --comb_sup_deep_mult 2 4.50/1.86 4.50/1.86 ------ Debug Options 4.50/1.86 4.50/1.86 --dbg_backtrace false 4.50/1.86 --dbg_dump_prop_clauses false 4.50/1.86 --dbg_dump_prop_clauses_file - 4.50/1.86 --dbg_out_stat false 4.50/1.86 --dbg_just_parse false 4.50/1.86 4.50/1.86 4.50/1.86 4.50/1.86 4.50/1.86 ------ Proving... 4.50/1.86 4.50/1.86 4.50/1.86 % SZS status Satisfiable for theBenchmark.p 4.50/1.86 4.50/1.86 ------ Building Model...Done 4.50/1.86 4.50/1.86 %------ The model is defined over ground terms (initial term algebra). 4.50/1.86 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 4.50/1.86 %------ where \phi is a formula over the term algebra. 4.50/1.86 %------ If we have equality in the problem then it is also defined as a predicate above, 4.50/1.86 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type 4.50/1.86 %------ See help for --sat_out_model for different model outputs. 4.50/1.86 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "=" 4.50/1.86 %------ where the first argument stands for the sort ($i in the unsorted case) 4.50/1.86 % SZS output start Model for theBenchmark.p 4.50/1.86 4.50/1.86 %------ Positive definition of equality_sorted 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_tType,X0_tlbool,X1_tlbool] : 4.50/1.86 ( equality_sorted(X0_tType,X0_tlbool,X1_tlbool) <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_tType=$o & X1_o=X0_o ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType='ZF_set_set_ZF_set_fun$' ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType='ZF_ZF_prod_set$' ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType='A_b_b_c_LSCategory_ext_Category_ext$' ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType='A_b_fun$' ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType='ZF$' ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType='ZF_ZF_unit_Category_ext$' ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType='ZF_set$' ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType='ZF_nat_prod_set$' ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType='ZF_ZF_prod$' ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType='ZF_ZF_prod_ZF_fun$' ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType='Unit$' ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType='B_set$' ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType='ZF_ZF_ZF_fun_fun$' ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType='ZF_ZF_fun$' ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType='A$' ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType='B$' ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType='ZF_set_set_ZF_set_set_fun$' ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType='B_a_fun$' ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType='ZF_set_set$' ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType=tlbool ) 4.50/1.86 & 4.50/1.86 ( X0_tlbool!=tltrue | X1_tlbool!=tlfalse ) 4.50/1.86 & 4.50/1.86 ( X0_tlbool!=tlfalse ) 4.50/1.86 & 4.50/1.86 ( X1_tlbool!=tlfalse ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType=tlbool & X0_tlbool=tlfalse & X1_tlbool=tlfalse ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType=tlbool & X1_tlbool=X0_tlbool ) 4.50/1.86 & 4.50/1.86 ( X0_tlbool!=tlfalse ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType=tlbool & X1_tlbool=tltrue ) 4.50/1.86 & 4.50/1.86 ( X0_tlbool!=tlfalse ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType='B_b_prod$' ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType='A_set$' ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType='ZF_ZF_prod_set_set_ZF_set_fun$' ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType='Nat_set$' ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType='Nat_nat_prod_set$' ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType='Nat_ZF_prod_set$' ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType='ZF_set_ZF_set_prod_set$' ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType='ZF_ZF_set_prod_set$' ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType='ZF_set_ZF_prod_set$' ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType='B_b_b_fun_fun$' ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType='Nat_set_set_ZF_set_set_fun$' ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType='ZF_set_ZF_set_prod$' ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType='ZF_set_ZF_prod$' ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType='B_c_LSCategory_ext$' ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 | 4.50/1.86 ( 4.50/1.86 ( X0_tType='ZF_ZF_set_prod$' ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'less_eq$e' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_set',X1_'ZF_ZF_prod_set'] : 4.50/1.86 ( 'less_eq$e'(X0_'ZF_ZF_prod_set',X1_'ZF_ZF_prod_set') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'functorM$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : 4.50/1.86 ( 'functorM$'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'fun_app$ak' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_bool_fun',X0_'ZF_ZF_prod'] : 4.50/1.86 ( 'fun_app$ak'(X0_'ZF_ZF_prod_bool_fun',X0_'ZF_ZF_prod') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'less_eq$f' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_prod_set',X1_'ZF_ZF_set_prod_set'] : 4.50/1.86 ( 'less_eq$f'(X0_'ZF_ZF_set_prod_set',X1_'ZF_ZF_set_prod_set') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'lSCategory$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.86 ( 'lSCategory$'(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'less_eq$k' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_bool_fun',X1_'B_bool_fun'] : 4.50/1.86 ( 'less_eq$k'(X0_'B_bool_fun',X1_'B_bool_fun') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'member$l' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_ZF_fun_set'] : 4.50/1.86 ( 'member$l'(X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_ZF_fun_set') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'category$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( 'category$a'(X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'functorM$b' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext'] : 4.50/1.86 ( 'functorM$b'(X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'category$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.86 ( 'category$'(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'functorM$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext'] : 4.50/1.86 ( 'functorM$a'(X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'fun_app$ck' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_a_fun_bool_fun',X0_'B_a_fun'] : 4.50/1.86 ( 'fun_app$ck'(X0_'B_a_fun_bool_fun',X0_'B_a_fun') <=> 4.50/1.86 $false 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'less_eq$m' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_bool_fun',X1_'ZF_set_bool_fun'] : 4.50/1.86 ( 'less_eq$m'(X0_'ZF_set_bool_fun',X1_'ZF_set_bool_fun') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'fun_app$h' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_bool_fun',X0_'ZF_set'] : 4.50/1.86 ( 'fun_app$h'(X0_'ZF_set_bool_fun',X0_'ZF_set') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'functor$b' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext'] : 4.50/1.86 ( 'functor$b'(X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'functor$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : 4.50/1.86 ( 'functor$a'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'fun_app$f' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_bool_fun',X0_'ZF'] : 4.50/1.86 ( 'fun_app$f'(X0_'ZF_bool_fun',X0_'ZF') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'member$j' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_b_prod',X0_'B_b_prod_set'] : 4.50/1.86 ( 'member$j'(X0_'B_b_prod',X0_'B_b_prod_set') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'lSCategory_axioms$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.86 ( 'lSCategory_axioms$'(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'extCategory$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.86 ( 'extCategory$a'(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 $false 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'fun_app$ag' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_bool_fun',X0_'Nat'] : 4.50/1.86 ( 'fun_app$ag'(X0_'Nat_bool_fun',X0_'Nat') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'member$g' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_ZF_fun',X0_'B_ZF_fun_set'] : 4.50/1.86 ( 'member$g'(X0_'B_ZF_fun',X0_'B_ZF_fun_set') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'extCategory$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( 'extCategory$'(X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'category_axioms$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.86 ( 'category_axioms$'(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'functor_abbrev$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [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'] : 4.50/1.86 ( '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') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'functorM$c' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'] : 4.50/1.86 ( 'functorM$c'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'member$f' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_fun_set'] : 4.50/1.86 ( 'member$f'(X0_'ZF_ZF_fun',X0_'ZF_ZF_fun_set') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'less_eq$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_set',X1_'A_set'] : 4.50/1.86 ( 'less_eq$'(X0_'A_set',X1_'A_set') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'less_eq$j' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_bool_fun',X1_'A_bool_fun'] : 4.50/1.86 ( 'less_eq$j'(X0_'A_bool_fun',X1_'A_bool_fun') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'less_eq$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_set',X1_'B_set'] : 4.50/1.86 ( 'less_eq$a'(X0_'B_set',X1_'B_set') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'fun_app$cl' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_b_fun_bool_fun',X0_'A_b_fun'] : 4.50/1.86 ( 'fun_app$cl'(X0_'A_b_fun_bool_fun',X0_'A_b_fun') <=> 4.50/1.86 $false 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'sup$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Bool_set'] : 4.50/1.86 ( 'sup$a'(X0_'Bool_set') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'less_eq$l' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_bool_fun',X1_'ZF_bool_fun'] : 4.50/1.86 ( 'less_eq$l'(X0_'ZF_bool_fun',X1_'ZF_bool_fun') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'fun_app$k' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_bool_fun',X0_'B'] : 4.50/1.86 ( 'fun_app$k'(X0_'B_bool_fun',X0_'B') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'member$i' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_b_fun',X0_'A_b_fun_set'] : 4.50/1.86 ( 'member$i'(X0_'A_b_fun',X0_'A_b_fun_set') <=> 4.50/1.86 $false 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'less_eq$h' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_set_prod_set',X1_'Nat_ZF_set_prod_set'] : 4.50/1.86 ( 'less_eq$h'(X0_'Nat_ZF_set_prod_set',X1_'Nat_ZF_set_prod_set') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'fun_app$al' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_b_prod_bool_fun',X0_'B_b_prod'] : 4.50/1.86 ( 'fun_app$al'(X0_'B_b_prod_bool_fun',X0_'B_b_prod') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'member$d' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod',X0_'ZF_ZF_prod_set'] : 4.50/1.86 ( 'member$d'(X0_'ZF_ZF_prod',X0_'ZF_ZF_prod_set') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'less_eq$g' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_ZF_prod_set',X1_'ZF_ZF_prod_ZF_prod_set'] : 4.50/1.86 ( 'less_eq$g'(X0_'ZF_ZF_prod_ZF_prod_set',X1_'ZF_ZF_prod_ZF_prod_set') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'category_axioms$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( 'category_axioms$a'(X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'preFunctor$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'] : 4.50/1.86 ( 'preFunctor$a'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'functor$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'] : 4.50/1.86 ( 'functor$'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'less_eq$b' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_set',X1_'ZF_set_set'] : 4.50/1.86 ( 'less_eq$b'(X0_'ZF_set_set',X1_'ZF_set_set') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'fun_app$n' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_bool_fun',X0_'A'] : 4.50/1.86 ( 'fun_app$n'(X0_'A_bool_fun',X0_'A') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'functor$c' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext'] : 4.50/1.86 ( 'functor$c'(X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'member$e' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat',X0_'Nat_set'] : 4.50/1.86 ( 'member$e'(X0_'Nat',X0_'Nat_set') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'fun_app$j' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_set_bool_fun',X0_'ZF_set_set'] : 4.50/1.86 ( 'fun_app$j'(X0_'ZF_set_set_bool_fun',X0_'ZF_set_set') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'fun_app$m' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_set_bool_fun',X0_'B_set'] : 4.50/1.86 ( 'fun_app$m'(X0_'B_set_bool_fun',X0_'B_set') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'preFunctor$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext'] : 4.50/1.86 ( 'preFunctor$'(X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'member$h' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_a_fun',X0_'B_a_fun_set'] : 4.50/1.86 ( 'member$h'(X0_'B_a_fun',X0_'B_a_fun_set') <=> 4.50/1.86 $false 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'fun_app$cj' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_ZF_fun_bool_fun',X0_'B_ZF_fun'] : 4.50/1.86 ( 'fun_app$cj'(X0_'B_ZF_fun_bool_fun',X0_'B_ZF_fun') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'fun_app$p' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_set_bool_fun',X0_'A_set'] : 4.50/1.86 ( 'fun_app$p'(X0_'A_set_bool_fun',X0_'A_set') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of 'fun_app$ci' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_fun_bool_fun',X0_'ZF_ZF_fun'] : 4.50/1.86 ( 'fun_app$ci'(X0_'ZF_ZF_fun_bool_fun',X0_'ZF_ZF_fun') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of sP0 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.86 ( sP0(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 $false 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of sP1 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.86 ( sP1(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 $false 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of sP2 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.86 ( sP2(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 $false 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of sP3 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.86 ( sP3(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 $false 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of sP4 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( sP4(X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 $false 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of sP5 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( sP5(X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 $false 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of sP6 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( sP6(X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 $false 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of sP7 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( sP7(X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 $false 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of sP8 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( sP8(X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of sP9 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( sP9(X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of sP10 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( sP10(X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of sP11 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( sP11(X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of sP12 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( sP12(X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of sP13 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.86 ( sP13(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of sP14 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.86 ( sP14(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of sP15 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.86 ( sP15(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of sP16 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.86 ( sP16(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of sP17 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.86 ( sP17(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of sP18 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.86 ( sP18(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 $false 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of sP19 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.86 ( sP19(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'sup$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_set_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'sup$'(X0_'ZF_set_set_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_set_ZF_set_fun'=iProver_Domain_'ZF_set_set_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$ai' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [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'] : 4.50/1.86 ( iProver_Flat_'image$ai'(X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_ZF_ZF_prod_prod_ZF_ZF_prod_fun',X0_'ZF_ZF_prod_ZF_ZF_prod_prod_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'mor_update$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B_set_b_set_fun',X1_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.86 ( iProver_Flat_'mor_update$a'(X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B_set_b_set_fun',X1_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_b_b_c_LSCategory_ext_Category_ext'=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'id$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_b_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.86 ( iProver_Flat_'id$'(X0_'A_b_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_b_fun'=iProver_Domain_'A_b_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$ah' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_bool_fun',X0_'ZF_nat_bool_fun_fun',X0_'ZF'] : 4.50/1.86 ( iProver_Flat_'fun_app$ah'(X0_'Nat_bool_fun',X0_'ZF_nat_bool_fun_fun',X0_'ZF') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_bool_fun'=iProver_Domain_'Nat_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'catDom$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'] : 4.50/1.86 ( iProver_Flat_'catDom$a'(X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uxn$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_ZF_prod_set_fun',X0_'ZF_ZF_prod_set'] : 4.50/1.86 ( iProver_Flat_'uxn$'(X0_'ZF_ZF_ZF_prod_set_fun',X0_'ZF_ZF_prod_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_ZF_prod_set_fun'=iProver_Domain_'ZF_ZF_ZF_prod_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'sigma$b' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_nat_prod_set',X0_'ZF_set',X0_'ZF_nat_set_fun'] : 4.50/1.86 ( iProver_Flat_'sigma$b'(X0_'ZF_nat_prod_set',X0_'ZF_set',X0_'ZF_nat_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_nat_prod_set'=iProver_Domain_'ZF_nat_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$bv' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_ZF_set_prod_fun',X0_'ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun',X0_'ZF_ZF_prod'] : 4.50/1.86 ( iProver_Flat_'fun_app$bv'(X0_'Nat_ZF_ZF_set_prod_fun',X0_'ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun',X0_'ZF_ZF_prod') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_ZF_set_prod_fun'=iProver_Domain_'Nat_ZF_ZF_set_prod_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uxj$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_ZF_ZF_prod_fun_fun'] : 4.50/1.86 ( iProver_Flat_'uxj$'(X0_'ZF_ZF_ZF_ZF_prod_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_ZF_ZF_prod_fun_fun'=iProver_Domain_'ZF_ZF_ZF_ZF_prod_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'relInvImage$b' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [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'] : 4.50/1.86 ( iProver_Flat_'relInvImage$b'(X0_'ZF_ZF_prod_ZF_ZF_prod_prod_set',X0_'ZF_ZF_prod_set',X1_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_ZF_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_ZF_ZF_prod_prod_set'=iProver_Domain_'ZF_ZF_prod_ZF_ZF_prod_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'c$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.86 ( iProver_Flat_'c$'(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_b_b_c_LSCategory_ext_Category_ext'=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$bg' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_set_set',X0_'ZF_ZF_prod_ZF_ZF_prod_set_fun',X0_'ZF_ZF_prod_set'] : 4.50/1.86 ( iProver_Flat_'image$bg'(X0_'ZF_ZF_prod_set_set',X0_'ZF_ZF_prod_ZF_ZF_prod_set_fun',X0_'ZF_ZF_prod_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_set_set'=iProver_Domain_'ZF_ZF_prod_set_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'relcomp$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_set',X1_'ZF_ZF_prod_set',X2_'ZF_ZF_prod_set'] : 4.50/1.86 ( iProver_Flat_'relcomp$'(X0_'ZF_ZF_prod_set',X1_'ZF_ZF_prod_set',X2_'ZF_ZF_prod_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uwa$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_bool_fun',X0_'B_ZF_fun',X0_'B_set',X0_'ZF_bool_fun'] : 4.50/1.86 ( iProver_Flat_'uwa$'(X0_'B_bool_fun',X0_'B_ZF_fun',X0_'B_set',X0_'ZF_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'vah$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_ZF_fun_fun'] : 4.50/1.86 ( iProver_Flat_'vah$'(X0_'ZF_ZF_ZF_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'mapO$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_a_fun',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext'] : 4.50/1.86 ( iProver_Flat_'mapO$a'(X0_'A_a_fun',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_a_fun'=iProver_Domain_'A_a_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uwl$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_bool_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_set'] : 4.50/1.86 ( iProver_Flat_'uwl$'(X0_'ZF_bool_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'unitFunctor$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( iProver_Flat_'unitFunctor$'(X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext'=iProver_Domain_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'vas$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_set_fun',X0_'Nat_nat_ZF_set_fun_fun',X0_'Nat_nat_fun'] : 4.50/1.86 ( iProver_Flat_'vas$'(X0_'Nat_ZF_set_fun',X0_'Nat_nat_ZF_set_fun_fun',X0_'Nat_nat_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$b' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_ZF_fun_fun',X0_'ZF'] : 4.50/1.86 ( iProver_Flat_'fun_app$b'(X0_'ZF_ZF_fun',X0_'ZF_ZF_ZF_fun_fun',X0_'ZF') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uyt$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_set_ZF_set_fun',X0_'Nat_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'uyt$'(X0_'Nat_set_ZF_set_fun',X0_'Nat_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_set_ZF_set_fun'=iProver_Domain_'Nat_set_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'constFunctor$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [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'] : 4.50/1.86 ( iProver_Flat_'constFunctor$'(X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext',X1_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext'=iProver_Domain_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'vbb$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_nat_fun_ZF_set_fun',X0_'Nat_nat_ZF_set_fun_fun'] : 4.50/1.86 ( iProver_Flat_'vbb$'(X0_'Nat_nat_fun_ZF_set_fun',X0_'Nat_nat_ZF_set_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_nat_fun_ZF_set_fun'=iProver_Domain_'Nat_nat_fun_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'the$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B',X0_'B_bool_fun'] : 4.50/1.86 ( iProver_Flat_'the$a'(X0_'B',X0_'B_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'mapsTo$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B',X0_'A'] : 4.50/1.86 ( iProver_Flat_'mapsTo$'(X0_'A_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B',X0_'A') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_bool_fun'=iProver_Domain_'A_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'compDefined$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_bool_fun_fun',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( iProver_Flat_'compDefined$'(X0_'ZF_ZF_bool_fun_fun',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_bool_fun_fun'=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'case_prod$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_ZF_fun_fun'] : 4.50/1.86 ( iProver_Flat_'case_prod$'(X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_ZF_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_ZF_fun'=iProver_Domain_'ZF_ZF_prod_ZF_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uyq$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_set_fun',X1_'Nat_ZF_set_fun',X0_'Nat_nat_set_fun'] : 4.50/1.86 ( iProver_Flat_'uyq$'(X0_'Nat_ZF_set_fun',X1_'Nat_ZF_set_fun',X0_'Nat_nat_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'sigma$g' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_ZF_prod_set',X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'sigma$g'(X0_'ZF_ZF_prod_ZF_prod_set',X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_ZF_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uwx$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_bool_fun',X0_'Nat_ZF_fun'] : 4.50/1.86 ( iProver_Flat_'uwx$'(X0_'ZF_bool_fun',X0_'Nat_ZF_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'constFunctor$d' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [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'] : 4.50/1.86 ( iProver_Flat_'constFunctor$d'(X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext'=iProver_Domain_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'comp$f' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_set_ZF_set_set_fun',X0_'ZF_set_ZF_set_set_fun',X0_'ZF_set_set_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'comp$f'(X0_'ZF_set_set_ZF_set_set_fun',X0_'ZF_set_ZF_set_set_fun',X0_'ZF_set_set_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_set_ZF_set_set_fun'=iProver_Domain_'ZF_set_set_ZF_set_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$bk' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A',X0_'B_a_fun',X0_'B'] : 4.50/1.86 ( iProver_Flat_'fun_app$bk'(X0_'A',X0_'B_a_fun',X0_'B') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$z' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_set',X0_'ZF_ZF_ZF_prod_fun',X0_'ZF_set'] : 4.50/1.86 ( iProver_Flat_'image$z'(X0_'ZF_ZF_prod_set',X0_'ZF_ZF_ZF_prod_fun',X0_'ZF_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'extensional$e' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_ZF_fun_set',X0_'B_set'] : 4.50/1.86 ( iProver_Flat_'extensional$e'(X0_'B_ZF_fun_set',X0_'B_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_ZF_fun_set'=iProver_Domain_'B_ZF_fun_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uzv$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_bool_fun',X0_'ZF_ZF_bool_fun_fun'] : 4.50/1.86 ( iProver_Flat_'uzv$'(X0_'ZF_bool_fun',X0_'ZF_ZF_bool_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'member$c' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_set_bool_fun',X0_'A'] : 4.50/1.86 ( iProver_Flat_'member$c'(X0_'A_set_bool_fun',X0_'A') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_set_bool_fun'=iProver_Domain_'A_set_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'inf$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set',X0_'ZF_set_set'] : 4.50/1.86 ( iProver_Flat_'inf$'(X0_'ZF_set',X0_'ZF_set_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'sup$h' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_bool_fun',X0_'B_bool_fun_set'] : 4.50/1.86 ( iProver_Flat_'sup$h'(X0_'B_bool_fun',X0_'B_bool_fun_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'cod_update$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( iProver_Flat_'cod_update$'(X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'member$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_set_bool_fun',X0_'ZF_set'] : 4.50/1.86 ( iProver_Flat_'member$a'(X0_'ZF_set_set_bool_fun',X0_'ZF_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_set_bool_fun'=iProver_Domain_'ZF_set_set_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uyh$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_fun',X0_'ZF_ZF_fun',X0_'ZF_set'] : 4.50/1.86 ( iProver_Flat_'uyh$'(X0_'ZF_ZF_set_fun',X0_'ZF_ZF_fun',X0_'ZF_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'extensional$d' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_ZF_fun_set',X0_'ZF_ZF_prod_set'] : 4.50/1.86 ( iProver_Flat_'extensional$d'(X0_'ZF_ZF_prod_ZF_fun_set',X0_'ZF_ZF_prod_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_ZF_fun_set'=iProver_Domain_'ZF_ZF_prod_ZF_fun_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$av' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_set',X0_'ZF_ZF_ZF_prod_set_fun',X0_'ZF'] : 4.50/1.86 ( iProver_Flat_'fun_app$av'(X0_'ZF_ZF_prod_set',X0_'ZF_ZF_ZF_prod_set_fun',X0_'ZF') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$dd' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_set_set',X0_'ZF_set_set_ZF_set_set_set_fun',X0_'ZF_set_set'] : 4.50/1.86 ( iProver_Flat_'fun_app$dd'(X0_'ZF_set_set_set',X0_'ZF_set_set_ZF_set_set_set_fun',X0_'ZF_set_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_set_set'=iProver_Domain_'ZF_set_set_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'sigma$k' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_ZF_ZF_prod_prod_set',X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_ZF_ZF_prod_set_fun'] : 4.50/1.86 ( iProver_Flat_'sigma$k'(X0_'ZF_ZF_prod_ZF_ZF_prod_prod_set',X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_ZF_ZF_prod_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_ZF_ZF_prod_prod_set'=iProver_Domain_'ZF_ZF_prod_ZF_ZF_prod_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'restrict$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B',X0_'B_b_prod_b_fun',X0_'B_b_prod_set',X0_'B_b_prod'] : 4.50/1.86 ( iProver_Flat_'restrict$a'(X0_'B',X0_'B_b_prod_b_fun',X0_'B_b_prod_set',X0_'B_b_prod') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$ai' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod'] : 4.50/1.86 ( iProver_Flat_'fun_app$ai'(X0_'ZF',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uwk$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_bool_fun',X0_'ZF_ZF_set_fun',X0_'ZF_set'] : 4.50/1.86 ( iProver_Flat_'uwk$'(X0_'ZF_set_bool_fun',X0_'ZF_ZF_set_fun',X0_'ZF_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_bool_fun'=iProver_Domain_'ZF_set_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$cr' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_set',X0_'A_a_set_fun',X0_'A'] : 4.50/1.86 ( iProver_Flat_'fun_app$cr'(X0_'A_set',X0_'A_a_set_fun',X0_'A') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_set'=iProver_Domain_'A_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'obj_update$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A_set_a_set_fun',X1_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.86 ( iProver_Flat_'obj_update$'(X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A_set_a_set_fun',X1_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_b_b_c_LSCategory_ext_Category_ext'=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uux$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_bool_fun',X0_'A_set',X1_'A_bool_fun'] : 4.50/1.86 ( iProver_Flat_'uux$'(X0_'A_bool_fun',X0_'A_set',X1_'A_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_bool_fun'=iProver_Domain_'A_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$bq' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_set',X0_'Nat_nat_fun_ZF_set_fun',X0_'Nat_nat_fun_set'] : 4.50/1.86 ( iProver_Flat_'image$bq'(X0_'ZF_set_set',X0_'Nat_nat_fun_ZF_set_fun',X0_'Nat_nat_fun_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_set'=iProver_Domain_'ZF_set_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uwd$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_bool_fun',X0_'ZF_set_a_fun',X0_'ZF_set_set',X1_'A_bool_fun'] : 4.50/1.86 ( iProver_Flat_'uwd$'(X0_'A_bool_fun',X0_'ZF_set_a_fun',X0_'ZF_set_set',X1_'A_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_bool_fun'=iProver_Domain_'A_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uyb$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_nat_ZF_set_ZF_set_prod_fun_fun',X0_'Nat_ZF_set_fun',X1_'Nat_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'uyb$'(X0_'Nat_nat_ZF_set_ZF_set_prod_fun_fun',X0_'Nat_ZF_set_fun',X1_'Nat_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_nat_ZF_set_ZF_set_prod_fun_fun'=iProver_Domain_'Nat_nat_ZF_set_ZF_set_prod_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uuw$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_ZF_fun_fun'] : 4.50/1.86 ( iProver_Flat_'uuw$'(X0_'ZF_ZF_ZF_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'id_update$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( iProver_Flat_'id_update$'(X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$e' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Bool_set',X0_'A_set_bool_fun',X0_'A_set_set'] : 4.50/1.86 ( iProver_Flat_'image$e'(X0_'Bool_set',X0_'A_set_bool_fun',X0_'A_set_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Bool_set'=iProver_Domain_'Bool_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$o' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_bool_fun',X0_'A_set_a_bool_fun_fun',X0_'A_set'] : 4.50/1.86 ( iProver_Flat_'fun_app$o'(X0_'A_bool_fun',X0_'A_set_a_bool_fun_fun',X0_'A_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_bool_fun'=iProver_Domain_'A_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'inverse_rel$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B'] : 4.50/1.86 ( iProver_Flat_'inverse_rel$'(X0_'B_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'mapO$b' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'] : 4.50/1.86 ( iProver_Flat_'mapO$b'(X0_'ZF_ZF_fun',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$co' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set',X0_'A_ZF_set_fun',X0_'A'] : 4.50/1.86 ( iProver_Flat_'fun_app$co'(X0_'ZF_set',X0_'A_ZF_set_fun',X0_'A') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uwp$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_bool_fun',X0_'ZF_set_ZF_fun',X0_'ZF_set_set'] : 4.50/1.86 ( iProver_Flat_'uwp$'(X0_'ZF_bool_fun',X0_'ZF_set_ZF_fun',X0_'ZF_set_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$bn' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_ZF_prod_set_fun',X0_'ZF_ZF_ZF_ZF_prod_set_fun_fun',X0_'ZF'] : 4.50/1.86 ( iProver_Flat_'fun_app$bn'(X0_'ZF_ZF_ZF_prod_set_fun',X0_'ZF_ZF_ZF_ZF_prod_set_fun_fun',X0_'ZF') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_ZF_prod_set_fun'=iProver_Domain_'ZF_ZF_ZF_prod_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'top$b' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_set'] : 4.50/1.86 ( iProver_Flat_'top$b'(X0_'ZF_ZF_prod_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'f$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B'] : 4.50/1.86 ( iProver_Flat_'f$'(X0_'B') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uye$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_ZF_ZF_prod_set_fun',X0_'ZF_ZF_prod_set'] : 4.50/1.86 ( iProver_Flat_'uye$'(X0_'ZF_ZF_prod_ZF_ZF_prod_set_fun',X0_'ZF_ZF_prod_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_ZF_ZF_prod_set_fun'=iProver_Domain_'ZF_ZF_prod_ZF_ZF_prod_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'comp$g' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [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'] : 4.50/1.86 ( iProver_Flat_'comp$g'(X0_'ZF_ZF_prod_set_set_ZF_set_fun',X0_'ZF_set_set_ZF_set_fun',X0_'ZF_ZF_prod_set_set_ZF_set_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_set_set_ZF_set_fun'=iProver_Domain_'ZF_ZF_prod_set_set_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'sup$j' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_bool_fun',X0_'ZF_bool_fun_set'] : 4.50/1.86 ( iProver_Flat_'sup$j'(X0_'ZF_bool_fun',X0_'ZF_bool_fun_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$f' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_set_ZF_set_fun',X0_'ZF_ZF_prod_ZF_fun'] : 4.50/1.86 ( iProver_Flat_'image$f'(X0_'ZF_ZF_prod_set_ZF_set_fun',X0_'ZF_ZF_prod_ZF_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_set_ZF_set_fun'=iProver_Domain_'ZF_ZF_prod_set_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uww$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_bool_fun',X0_'Nat_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'uww$'(X0_'ZF_set_bool_fun',X0_'Nat_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_bool_fun'=iProver_Domain_'ZF_set_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_set_ZF_set_set_fun',X0_'Nat_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'image$'(X0_'Nat_set_ZF_set_set_fun',X0_'Nat_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_set_ZF_set_set_fun'=iProver_Domain_'Nat_set_ZF_set_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$aa' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_set_fun',X0_'Nat_nat_ZF_set_fun_fun',X0_'Nat'] : 4.50/1.86 ( iProver_Flat_'fun_app$aa'(X0_'Nat_ZF_set_fun',X0_'Nat_nat_ZF_set_fun_fun',X0_'Nat') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$cg' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_set',X0_'ZF_ZF_prod_nat_set_fun',X0_'ZF_ZF_prod'] : 4.50/1.86 ( iProver_Flat_'fun_app$cg'(X0_'Nat_set',X0_'ZF_ZF_prod_nat_set_fun',X0_'ZF_ZF_prod') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_set'=iProver_Domain_'Nat_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'top$e' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_nat_prod_set'] : 4.50/1.86 ( iProver_Flat_'top$e'(X0_'Nat_nat_prod_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_nat_prod_set'=iProver_Domain_'Nat_nat_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'top$d' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_prod_set'] : 4.50/1.86 ( iProver_Flat_'top$d'(X0_'Nat_ZF_prod_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_prod_set'=iProver_Domain_'Nat_ZF_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$ac' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_ZF_set_prod_set',X0_'ZF_nat_prod_ZF_set_ZF_set_prod_fun',X0_'ZF_nat_prod_set'] : 4.50/1.86 ( iProver_Flat_'image$ac'(X0_'ZF_set_ZF_set_prod_set',X0_'ZF_nat_prod_ZF_set_ZF_set_prod_fun',X0_'ZF_nat_prod_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_ZF_set_prod_set'=iProver_Domain_'ZF_set_ZF_set_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'converse$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_set',X1_'ZF_ZF_prod_set'] : 4.50/1.86 ( iProver_Flat_'converse$'(X0_'ZF_ZF_prod_set',X1_'ZF_ZF_prod_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uwv$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_bool_fun',X0_'ZF_ZF_fun'] : 4.50/1.86 ( iProver_Flat_'uwv$'(X0_'ZF_bool_fun',X0_'ZF_ZF_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uzb$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_set_fun',X0_'Nat_ZF_ZF_set_fun_fun',X0_'ZF_set'] : 4.50/1.86 ( iProver_Flat_'uzb$'(X0_'Nat_ZF_set_fun',X0_'Nat_ZF_ZF_set_fun_fun',X0_'ZF_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uxi$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_fun',X0_'ZF_set'] : 4.50/1.86 ( iProver_Flat_'uxi$'(X0_'ZF_ZF_set_fun',X0_'ZF_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uxl$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_fun',X0_'ZF_ZF_bool_fun_fun'] : 4.50/1.86 ( iProver_Flat_'uxl$'(X0_'ZF_ZF_set_fun',X0_'ZF_ZF_bool_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$bf' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF',X0_'A_ZF_fun',X0_'A'] : 4.50/1.86 ( iProver_Flat_'fun_app$bf'(X0_'ZF',X0_'A_ZF_fun',X0_'A') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uur$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_fun'] : 4.50/1.86 ( iProver_Flat_'uur$'(X0_'ZF_ZF_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uxh$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_fun',X0_'ZF_bool_fun'] : 4.50/1.86 ( iProver_Flat_'uxh$'(X0_'ZF_ZF_set_fun',X0_'ZF_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'comp$j' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_set_ZF_set_fun',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_set_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'comp$j'(X0_'ZF_set_set_ZF_set_fun',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_set_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_set_ZF_set_fun'=iProver_Domain_'ZF_set_set_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'gr$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_prod_set',X0_'ZF_set',X0_'ZF_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'gr$'(X0_'ZF_ZF_set_prod_set',X0_'ZF_set',X0_'ZF_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_set_prod_set'=iProver_Domain_'ZF_ZF_set_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'comp$e' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [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'] : 4.50/1.86 ( iProver_Flat_'comp$e'(X0_'ZF_set_set_ZF_set_set_fun',X0_'ZF_set_set_set_ZF_set_set_fun',X0_'ZF_set_set_ZF_set_set_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_set_ZF_set_set_fun'=iProver_Domain_'ZF_set_set_ZF_set_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uuh$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_bool_fun_fun',X0_tlbool,X0_'ZF'] : 4.50/1.86 ( iProver_Flat_'uuh$'(X0_'ZF_ZF_bool_fun_fun',X0_tlbool,X0_'ZF') <=> 4.50/1.86 $true 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'sigma$f' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_ZF_prod_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'sigma$f'(X0_'ZF_set_ZF_prod_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_ZF_prod_set'=iProver_Domain_'ZF_set_ZF_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'sup$i' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_bool_fun',X0_'ZF_set_bool_fun_set'] : 4.50/1.86 ( iProver_Flat_'sup$i'(X0_'ZF_set_bool_fun',X0_'ZF_set_bool_fun_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_bool_fun'=iProver_Domain_'ZF_set_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'pair$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_b_prod',X0_'B',X1_'B'] : 4.50/1.86 ( iProver_Flat_'pair$a'(X0_'B_b_prod',X0_'B',X1_'B') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_b_prod'=iProver_Domain_'B_b_prod'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uyp$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_fun',X0_'Nat_ZF_set_fun',X0_'ZF_nat_set_fun'] : 4.50/1.86 ( iProver_Flat_'uyp$'(X0_'ZF_ZF_set_fun',X0_'Nat_ZF_set_fun',X0_'ZF_nat_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'vao$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_fun',X0_'Nat_ZF_ZF_set_fun_fun'] : 4.50/1.86 ( iProver_Flat_'vao$'(X0_'ZF_ZF_set_fun',X0_'Nat_ZF_ZF_set_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uzn$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_ZF_set_fun_fun',X0_'Nat_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'uzn$'(X0_'Nat_ZF_ZF_set_fun_fun',X0_'Nat_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_ZF_set_fun_fun'=iProver_Domain_'Nat_ZF_ZF_set_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$m' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_set',X0_'B_a_fun',X0_'B_set'] : 4.50/1.86 ( iProver_Flat_'image$m'(X0_'A_set',X0_'B_a_fun',X0_'B_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_set'=iProver_Domain_'A_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uzs$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun',X0_'ZF_set'] : 4.50/1.86 ( iProver_Flat_'uzs$'(X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun',X0_'ZF_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'extensional$c' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_b_prod_b_fun_set',X0_'B_b_prod_set'] : 4.50/1.86 ( iProver_Flat_'extensional$c'(X0_'B_b_prod_b_fun_set',X0_'B_b_prod_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_b_prod_b_fun_set'=iProver_Domain_'B_b_prod_b_fun_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uut$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_bool_fun'] : 4.50/1.86 ( iProver_Flat_'uut$'(X0_'ZF_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'case_prod$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_b_prod_b_fun',X0_'B_b_b_fun_fun'] : 4.50/1.86 ( iProver_Flat_'case_prod$a'(X0_'B_b_prod_b_fun',X0_'B_b_b_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_b_prod_b_fun'=iProver_Domain_'B_b_prod_b_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uzp$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_fun',X0_'Nat_ZF_set_fun',X0_'Nat_set'] : 4.50/1.86 ( iProver_Flat_'uzp$'(X0_'ZF_ZF_set_fun',X0_'Nat_ZF_set_fun',X0_'Nat_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'collect$i' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_set',X0_'B_bool_fun'] : 4.50/1.86 ( iProver_Flat_'collect$i'(X0_'B_set',X0_'B_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uve$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_set_fun',X0_'ZF_set_ZF_set_fun',X1_'Nat_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'uve$'(X0_'Nat_ZF_set_fun',X0_'ZF_set_ZF_set_fun',X1_'Nat_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uyc$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_nat_set_fun',X0_'Nat_set'] : 4.50/1.86 ( iProver_Flat_'uyc$'(X0_'Nat_nat_set_fun',X0_'Nat_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_nat_set_fun'=iProver_Domain_'Nat_nat_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'sum$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_fun'] : 4.50/1.86 ( iProver_Flat_'sum$'(X0_'ZF_ZF_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_ZF_set_set_fun',X0_'ZF_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'image$a'(X0_'ZF_set_ZF_set_set_fun',X0_'ZF_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_ZF_set_set_fun'=iProver_Domain_'ZF_set_ZF_set_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$bc' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_set_set',X0_'Nat_ZF_set_set_fun',X0_'Nat_set'] : 4.50/1.86 ( iProver_Flat_'image$bc'(X0_'ZF_set_set_set',X0_'Nat_ZF_set_set_fun',X0_'Nat_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_set_set'=iProver_Domain_'ZF_set_set_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$p' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_set_a_set_fun',X0_'A_a_fun'] : 4.50/1.86 ( iProver_Flat_'image$p'(X0_'A_set_a_set_fun',X0_'A_a_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_set_a_set_fun'=iProver_Domain_'A_set_a_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$bh' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_bool_fun_set',X0_'A_set_a_bool_fun_fun',X0_'A_set_set'] : 4.50/1.86 ( iProver_Flat_'image$bh'(X0_'A_bool_fun_set',X0_'A_set_a_bool_fun_fun',X0_'A_set_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_bool_fun_set'=iProver_Domain_'A_bool_fun_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$aq' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun',X1_'ZF_ZF_ZF_fun_fun'] : 4.50/1.86 ( iProver_Flat_'fun_app$aq'(X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun',X1_'ZF_ZF_ZF_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'mor$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( iProver_Flat_'mor$a'(X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uxa$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_ZF_set_set_fun',X0_'Nat_ZF_set_fun',X0_'Nat_set'] : 4.50/1.86 ( iProver_Flat_'uxa$'(X0_'ZF_set_ZF_set_set_fun',X0_'Nat_ZF_set_fun',X0_'Nat_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_ZF_set_set_fun'=iProver_Domain_'ZF_set_ZF_set_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'sigma$c' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_prod_set',X0_'Nat_set',X0_'Nat_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'sigma$c'(X0_'Nat_ZF_prod_set',X0_'Nat_set',X0_'Nat_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_prod_set'=iProver_Domain_'Nat_ZF_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'app$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_ZF_fun_fun'] : 4.50/1.86 ( iProver_Flat_'app$'(X0_'ZF_ZF_ZF_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'catDom$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [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'] : 4.50/1.86 ( iProver_Flat_'catDom$'(X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_b_b_c_LSCategory_ext_Category_ext'=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'set$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( iProver_Flat_'set$'(X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uui$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_b_prod_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.86 ( iProver_Flat_'uui$'(X0_'B_b_prod_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_b_prod_bool_fun'=iProver_Domain_'B_b_prod_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uuz$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_bool_fun',X0_'ZF_set_set',X1_'ZF_set_bool_fun'] : 4.50/1.86 ( iProver_Flat_'uuz$'(X0_'ZF_set_bool_fun',X0_'ZF_set_set',X1_'ZF_set_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_bool_fun'=iProver_Domain_'ZF_set_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uuj$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_bool_fun',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( iProver_Flat_'uuj$'(X0_'ZF_ZF_prod_bool_fun',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_bool_fun'=iProver_Domain_'ZF_ZF_prod_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'extensional$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_fun_set',X0_'ZF_set'] : 4.50/1.86 ( iProver_Flat_'extensional$a'(X0_'ZF_ZF_fun_set',X0_'ZF_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_fun_set'=iProver_Domain_'ZF_ZF_fun_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$ay' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_set',X0_'Nat_ZF_set_set_fun',X0_'Nat'] : 4.50/1.86 ( iProver_Flat_'fun_app$ay'(X0_'ZF_set_set',X0_'Nat_ZF_set_set_fun',X0_'Nat') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_set'=iProver_Domain_'ZF_set_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uzg$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_set_fun',X0_'Nat_nat_ZF_set_fun_fun',X0_'Nat_set'] : 4.50/1.86 ( iProver_Flat_'uzg$'(X0_'Nat_ZF_set_fun',X0_'Nat_nat_ZF_set_fun_fun',X0_'Nat_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'sigma$e' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_ZF_prod_prod_set',X0_'ZF_set',X0_'ZF_ZF_ZF_prod_set_fun'] : 4.50/1.86 ( iProver_Flat_'sigma$e'(X0_'ZF_ZF_ZF_prod_prod_set',X0_'ZF_set',X0_'ZF_ZF_ZF_prod_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_ZF_prod_prod_set'=iProver_Domain_'ZF_ZF_ZF_prod_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'unity$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Unit'] : 4.50/1.86 ( iProver_Flat_'unity$'(X0_'Unit') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Unit'=iProver_Domain_'Unit'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$az' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod',X0_'ZF_ZF_prod_ZF_ZF_prod_fun',X1_'ZF_ZF_prod'] : 4.50/1.86 ( iProver_Flat_'fun_app$az'(X0_'ZF_ZF_prod',X0_'ZF_ZF_prod_ZF_ZF_prod_fun',X1_'ZF_ZF_prod') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod'=iProver_Domain_'ZF_ZF_prod'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uwr$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'Nat_ZF_ZF_prod_fun'] : 4.50/1.86 ( iProver_Flat_'uwr$'(X0_'Nat_ZF_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'Nat_ZF_ZF_prod_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_fun'=iProver_Domain_'Nat_ZF_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$ah' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_ZF_set_prod_set',X0_'Nat_nat_prod_ZF_set_ZF_set_prod_fun',X0_'Nat_nat_prod_set'] : 4.50/1.86 ( iProver_Flat_'image$ah'(X0_'ZF_set_ZF_set_prod_set',X0_'Nat_nat_prod_ZF_set_ZF_set_prod_fun',X0_'Nat_nat_prod_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_ZF_set_prod_set'=iProver_Domain_'ZF_set_ZF_set_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$h' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_set',X0_'ZF_b_fun',X0_'ZF_set'] : 4.50/1.86 ( iProver_Flat_'image$h'(X0_'B_set',X0_'ZF_b_fun',X0_'ZF_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uwt$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_bool_fun',X0_'ZF_ZF_prod_ZF_fun'] : 4.50/1.86 ( iProver_Flat_'uwt$'(X0_'ZF_bool_fun',X0_'ZF_ZF_prod_ZF_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uyv$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_fun',X0_'ZF_ZF_ZF_set_fun_fun',X0_'ZF_set'] : 4.50/1.86 ( iProver_Flat_'uyv$'(X0_'ZF_ZF_set_fun',X0_'ZF_ZF_ZF_set_fun_fun',X0_'ZF_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'repl$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF',X1_'ZF',X0_'ZF_ZF_fun'] : 4.50/1.86 ( iProver_Flat_'repl$'(X0_'ZF',X1_'ZF',X0_'ZF_ZF_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'inf$b' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_set',X0_'B_set_set'] : 4.50/1.86 ( iProver_Flat_'inf$b'(X0_'B_set',X0_'B_set_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$x' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_set',X0_'ZF_set_ZF_set_set_fun',X0_'ZF_set'] : 4.50/1.86 ( iProver_Flat_'fun_app$x'(X0_'ZF_set_set',X0_'ZF_set_ZF_set_set_fun',X0_'ZF_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_set'=iProver_Domain_'ZF_set_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'comp$d' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_set_set_ZF_set_set_fun',X0_'Nat_set_ZF_set_set_fun',X0_'Nat_set_set_nat_set_fun'] : 4.50/1.86 ( iProver_Flat_'comp$d'(X0_'Nat_set_set_ZF_set_set_fun',X0_'Nat_set_ZF_set_set_fun',X0_'Nat_set_set_nat_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_set_set_ZF_set_set_fun'=iProver_Domain_'Nat_set_set_ZF_set_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'val$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_set_fun',X0_'ZF_nat_ZF_set_fun_fun'] : 4.50/1.86 ( iProver_Flat_'val$'(X0_'Nat_ZF_set_fun',X0_'ZF_nat_ZF_set_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'obj_update$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_unit_Category_ext',X0_'ZF_set_ZF_set_fun',X1_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( iProver_Flat_'obj_update$a'(X0_'ZF_ZF_unit_Category_ext',X0_'ZF_set_ZF_set_fun',X1_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'mor2ZF$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.86 ( iProver_Flat_'mor2ZF$'(X0_'B_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_ZF_fun'=iProver_Domain_'B_ZF_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uva$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_bool_fun',X0_'ZF_set',X1_'ZF_bool_fun'] : 4.50/1.86 ( iProver_Flat_'uva$'(X0_'ZF_bool_fun',X0_'ZF_set',X1_'ZF_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'comp_update$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun',X1_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( iProver_Flat_'comp_update$'(X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun',X1_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uxy$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_set_fun',X0_'ZF_set'] : 4.50/1.86 ( iProver_Flat_'uxy$'(X0_'Nat_ZF_set_fun',X0_'ZF_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uvg$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_set_fun',X0_'ZF_ZF_set_fun',X0_'Nat_ZF_fun'] : 4.50/1.86 ( iProver_Flat_'uvg$'(X0_'Nat_ZF_set_fun',X0_'ZF_ZF_set_fun',X0_'Nat_ZF_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uvi$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_ZF_fun',X1_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_ZF_ZF_prod_fun'] : 4.50/1.86 ( iProver_Flat_'uvi$'(X0_'ZF_ZF_prod_ZF_fun',X1_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_ZF_ZF_prod_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_ZF_fun'=iProver_Domain_'ZF_ZF_prod_ZF_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'extensional$b' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_b_fun_set',X0_'A_set'] : 4.50/1.86 ( iProver_Flat_'extensional$b'(X0_'A_b_fun_set',X0_'A_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_b_fun_set'=iProver_Domain_'A_b_fun_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$ca' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_ZF_set_prod',X0_'Nat_ZF_set_ZF_set_prod_fun',X0_'Nat'] : 4.50/1.86 ( iProver_Flat_'fun_app$ca'(X0_'ZF_set_ZF_set_prod',X0_'Nat_ZF_set_ZF_set_prod_fun',X0_'Nat') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_ZF_set_prod'=iProver_Domain_'ZF_set_ZF_set_prod'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uvb$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_bool_fun',X1_'ZF_bool_fun',X2_'ZF_bool_fun'] : 4.50/1.86 ( iProver_Flat_'uvb$'(X0_'ZF_bool_fun',X1_'ZF_bool_fun',X2_'ZF_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$bj' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_bool_fun_set',X0_'ZF_set_set_ZF_set_bool_fun_fun',X0_'ZF_set_set_set'] : 4.50/1.86 ( iProver_Flat_'image$bj'(X0_'ZF_set_bool_fun_set',X0_'ZF_set_set_ZF_set_bool_fun_fun',X0_'ZF_set_set_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_bool_fun_set'=iProver_Domain_'ZF_set_bool_fun_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$bw' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_ZF_prod',X0_'ZF_ZF_prod_ZF_set_ZF_prod_fun',X0_'ZF_ZF_prod'] : 4.50/1.86 ( iProver_Flat_'fun_app$bw'(X0_'ZF_set_ZF_prod',X0_'ZF_ZF_prod_ZF_set_ZF_prod_fun',X0_'ZF_ZF_prod') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_ZF_prod'=iProver_Domain_'ZF_set_ZF_prod'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uuk$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun',X0_'ZF_ZF_fun'] : 4.50/1.86 ( iProver_Flat_'uuk$'(X0_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun',X0_'ZF_ZF_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'gr$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_ZF_prod_set',X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_ZF_fun'] : 4.50/1.86 ( iProver_Flat_'gr$a'(X0_'ZF_ZF_prod_ZF_prod_set',X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_ZF_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_ZF_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uxb$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_set'] : 4.50/1.86 ( iProver_Flat_'uxb$'(X0_'ZF_ZF_set_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'dom_update$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [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'] : 4.50/1.86 ( iProver_Flat_'dom_update$'(X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B_a_fun_b_a_fun_fun',X1_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_b_b_c_LSCategory_ext_Category_ext'=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'vaw$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_set_fun',X0_'ZF_nat_ZF_set_fun_fun'] : 4.50/1.86 ( iProver_Flat_'vaw$'(X0_'Nat_ZF_set_fun',X0_'ZF_nat_ZF_set_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$cx' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set',X0_'B_ZF_set_fun',X0_'B'] : 4.50/1.86 ( iProver_Flat_'fun_app$cx'(X0_'ZF_set',X0_'B_ZF_set_fun',X0_'B') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$az' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_set_set',X0_'ZF_ZF_ZF_prod_set_fun',X0_'ZF_set'] : 4.50/1.86 ( iProver_Flat_'image$az'(X0_'ZF_ZF_prod_set_set',X0_'ZF_ZF_ZF_prod_set_fun',X0_'ZF_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_set_set'=iProver_Domain_'ZF_ZF_prod_set_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'vba$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_set_fun',X0_'Nat_nat_ZF_set_fun_fun'] : 4.50/1.86 ( iProver_Flat_'vba$'(X0_'Nat_ZF_set_fun',X0_'Nat_nat_ZF_set_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uvo$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_bool_fun',X0_'B_a_fun',X0_'B_set',X0_'A_bool_fun'] : 4.50/1.86 ( iProver_Flat_'uvo$'(X0_'B_bool_fun',X0_'B_a_fun',X0_'B_set',X0_'A_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$as' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_set_set',X0_'ZF_set_ZF_ZF_prod_set_fun',X0_'ZF_set_set'] : 4.50/1.86 ( iProver_Flat_'image$as'(X0_'ZF_ZF_prod_set_set',X0_'ZF_set_ZF_ZF_prod_set_fun',X0_'ZF_set_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_set_set'=iProver_Domain_'ZF_ZF_prod_set_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'comp$h' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [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'] : 4.50/1.86 ( iProver_Flat_'comp$h'(X0_'ZF_ZF_prod_set_set_ZF_set_fun',X0_'ZF_ZF_prod_set_ZF_set_fun',X0_'ZF_ZF_prod_set_set_ZF_ZF_prod_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_set_set_ZF_set_fun'=iProver_Domain_'ZF_ZF_prod_set_set_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'identityFunctor$b' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( iProver_Flat_'identityFunctor$b'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'pair$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_ZF_prod_fun',X0_'ZF'] : 4.50/1.86 ( iProver_Flat_'pair$'(X0_'ZF_ZF_ZF_prod_fun',X0_'ZF') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_ZF_prod_fun'=iProver_Domain_'ZF_ZF_ZF_prod_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'case_prod$n' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_prod_ZF_ZF_prod_set_fun',X0_'Nat_ZF_ZF_ZF_prod_set_fun_fun'] : 4.50/1.86 ( iProver_Flat_'case_prod$n'(X0_'Nat_ZF_prod_ZF_ZF_prod_set_fun',X0_'Nat_ZF_ZF_ZF_prod_set_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_prod_ZF_ZF_prod_set_fun'=iProver_Domain_'Nat_ZF_prod_ZF_ZF_prod_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uvh$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_ZF_set_fun',X0_'ZF_ZF_set_fun',X0_'ZF_ZF_prod_ZF_fun'] : 4.50/1.86 ( iProver_Flat_'uvh$'(X0_'ZF_ZF_prod_ZF_set_fun',X0_'ZF_ZF_set_fun',X0_'ZF_ZF_prod_ZF_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_ZF_set_fun'=iProver_Domain_'ZF_ZF_prod_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'vac$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_bool_fun_fun',X0_'Nat_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'vac$'(X0_'Nat_ZF_bool_fun_fun',X0_'Nat_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_bool_fun_fun'=iProver_Domain_'Nat_ZF_bool_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$w' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set',X0_'ZF_nat_fun_ZF_set_fun',X0_'ZF_nat_fun'] : 4.50/1.86 ( iProver_Flat_'fun_app$w'(X0_'ZF_set',X0_'ZF_nat_fun_ZF_set_fun',X0_'ZF_nat_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'vax$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_fun_ZF_set_fun',X0_'ZF_nat_ZF_set_fun_fun'] : 4.50/1.86 ( iProver_Flat_'vax$'(X0_'Nat_ZF_fun_ZF_set_fun',X0_'ZF_nat_ZF_set_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_fun_ZF_set_fun'=iProver_Domain_'Nat_ZF_fun_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$an' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_set_set',X0_'B_b_set_fun',X0_'B_set'] : 4.50/1.86 ( iProver_Flat_'image$an'(X0_'B_set_set',X0_'B_b_set_fun',X0_'B_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_set_set'=iProver_Domain_'B_set_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'obj$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( iProver_Flat_'obj$a'(X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uwf$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_bool_fun',X0_'Nat_ZF_set_fun',X0_'Nat_bool_fun'] : 4.50/1.86 ( iProver_Flat_'uwf$'(X0_'ZF_set_bool_fun',X0_'Nat_ZF_set_fun',X0_'Nat_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_bool_fun'=iProver_Domain_'ZF_set_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uvr$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_bool_fun',X0_'B_b_fun',X0_'B_set',X1_'B_bool_fun'] : 4.50/1.86 ( iProver_Flat_'uvr$'(X0_'B_bool_fun',X0_'B_b_fun',X0_'B_set',X1_'B_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uwu$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_bool_fun',X0_'ZF_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'uwu$'(X0_'ZF_set_bool_fun',X0_'ZF_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_bool_fun'=iProver_Domain_'ZF_set_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$aj' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF',X0_'Nat_ZF_fun',X0_'Nat'] : 4.50/1.86 ( iProver_Flat_'fun_app$aj'(X0_'ZF',X0_'Nat_ZF_fun',X0_'Nat') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uzm$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_set_fun',X0_'ZF_ZF_fun',X1_'Nat_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'uzm$'(X0_'Nat_ZF_set_fun',X0_'ZF_ZF_fun',X1_'Nat_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$ct' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_set',X0_'B_a_set_fun',X0_'B'] : 4.50/1.86 ( iProver_Flat_'fun_app$ct'(X0_'A_set',X0_'B_a_set_fun',X0_'B') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_set'=iProver_Domain_'A_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uvu$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_bool_fun',X0_'ZF_a_fun',X0_'ZF_set',X0_'A_bool_fun'] : 4.50/1.86 ( iProver_Flat_'uvu$'(X0_'ZF_bool_fun',X0_'ZF_a_fun',X0_'ZF_set',X0_'A_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uze$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_set_fun',X0_'Nat_nat_ZF_set_fun_fun',X0_'Nat_set'] : 4.50/1.86 ( iProver_Flat_'uze$'(X0_'Nat_ZF_set_fun',X0_'Nat_nat_ZF_set_fun_fun',X0_'Nat_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'zFfunCod$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_fun'] : 4.50/1.86 ( iProver_Flat_'zFfunCod$'(X0_'ZF_ZF_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$ax' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_set_set',X0_'Nat_nat_set_fun',X0_'Nat_set'] : 4.50/1.86 ( iProver_Flat_'image$ax'(X0_'Nat_set_set',X0_'Nat_nat_set_fun',X0_'Nat_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_set_set'=iProver_Domain_'Nat_set_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uyl$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_bool_fun_fun',X0_'ZF'] : 4.50/1.86 ( iProver_Flat_'uyl$'(X0_'ZF_ZF_bool_fun_fun',X0_'ZF') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_bool_fun_fun'=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'case_prod$l' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_ZF_set_ZF_set_prod_fun',X0_'ZF_ZF_ZF_set_ZF_set_prod_fun_fun'] : 4.50/1.86 ( iProver_Flat_'case_prod$l'(X0_'ZF_ZF_prod_ZF_set_ZF_set_prod_fun',X0_'ZF_ZF_ZF_set_ZF_set_prod_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_ZF_set_ZF_set_prod_fun'=iProver_Domain_'ZF_ZF_prod_ZF_set_ZF_set_prod_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uun$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( iProver_Flat_'uun$'(X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$cn' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_set',X0_'ZF_set_set_ZF_set_set_fun',X1_'ZF_set_set'] : 4.50/1.86 ( iProver_Flat_'fun_app$cn'(X0_'ZF_set_set',X0_'ZF_set_set_ZF_set_set_fun',X1_'ZF_set_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_set'=iProver_Domain_'ZF_set_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$bb' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_set_set',X0_'ZF_ZF_set_set_fun',X0_'ZF_set'] : 4.50/1.86 ( iProver_Flat_'image$bb'(X0_'ZF_set_set_set',X0_'ZF_ZF_set_set_fun',X0_'ZF_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_set_set'=iProver_Domain_'ZF_set_set_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uyg$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_ZF_ZF_prod_fun_fun',X0_'ZF_ZF_fun',X1_'ZF_ZF_fun'] : 4.50/1.86 ( iProver_Flat_'uyg$'(X0_'ZF_ZF_ZF_ZF_prod_fun_fun',X0_'ZF_ZF_fun',X1_'ZF_ZF_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_ZF_ZF_prod_fun_fun'=iProver_Domain_'ZF_ZF_ZF_ZF_prod_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uug$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_bool_fun_fun'] : 4.50/1.86 ( iProver_Flat_'uug$'(X0_'ZF_ZF_bool_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_bool_fun_fun'=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uzd$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_fun',X0_'Nat_ZF_ZF_set_fun_fun',X0_'Nat_set'] : 4.50/1.86 ( iProver_Flat_'uzd$'(X0_'ZF_ZF_set_fun',X0_'Nat_ZF_ZF_set_fun_fun',X0_'Nat_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'var$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_set_fun',X0_'Nat_nat_ZF_set_fun_fun'] : 4.50/1.86 ( iProver_Flat_'var$'(X0_'Nat_ZF_set_fun',X0_'Nat_nat_ZF_set_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'homFtor$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A'] : 4.50/1.86 ( iProver_Flat_'homFtor$'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'category_ext$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [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'] : 4.50/1.86 ( iProver_Flat_'category_ext$'(X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A_set',X0_'B_set',X0_'B_a_fun',X1_'B_a_fun',X0_'A_b_fun',X0_'B_b_b_fun_fun',X0_'B_c_LSCategory_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_b_b_c_LSCategory_ext_Category_ext'=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uxk$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_bool_fun_fun',X0_'ZF_bool_fun',X1_'ZF_ZF_bool_fun_fun'] : 4.50/1.86 ( iProver_Flat_'uxk$'(X0_'ZF_ZF_bool_fun_fun',X0_'ZF_bool_fun',X1_'ZF_ZF_bool_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_bool_fun_fun'=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'vau$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_fun',X0_'ZF_ZF_ZF_set_fun_fun'] : 4.50/1.86 ( iProver_Flat_'vau$'(X0_'ZF_ZF_set_fun',X0_'ZF_ZF_ZF_set_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$bm' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A',X0_'A_a_fun',X1_'A'] : 4.50/1.86 ( iProver_Flat_'fun_app$bm'(X0_'A',X0_'A_a_fun',X1_'A') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uxm$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun',X0_'ZF_ZF_set_fun',X0_'ZF_ZF_prod_ZF_fun'] : 4.50/1.86 ( iProver_Flat_'uxm$'(X0_'ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun',X0_'ZF_ZF_set_fun',X0_'ZF_ZF_prod_ZF_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun'=iProver_Domain_'ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'vaf$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_bool_fun',X0_'ZF_set_set_set'] : 4.50/1.86 ( iProver_Flat_'vaf$'(X0_'ZF_set_bool_fun',X0_'ZF_set_set_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_bool_fun'=iProver_Domain_'ZF_set_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'collect$b' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_b_prod_set',X0_'B_b_prod_bool_fun'] : 4.50/1.86 ( iProver_Flat_'collect$b'(X0_'B_b_prod_set',X0_'B_b_prod_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_b_prod_set'=iProver_Domain_'B_b_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uvz$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_bool_fun',X0_'B_ZF_fun',X0_'B_set',X1_'ZF_bool_fun'] : 4.50/1.86 ( iProver_Flat_'uvz$'(X0_'ZF_bool_fun',X0_'B_ZF_fun',X0_'B_set',X1_'ZF_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'cod$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_a_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.86 ( iProver_Flat_'cod$'(X0_'B_a_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_a_fun'=iProver_Domain_'B_a_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'collect$d' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_ZF_fun_set',X0_'B_ZF_fun_bool_fun'] : 4.50/1.86 ( iProver_Flat_'collect$d'(X0_'B_ZF_fun_set',X0_'B_ZF_fun_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_ZF_fun_set'=iProver_Domain_'B_ZF_fun_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$cy' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_set_set_ZF_ZF_prod_set_fun',X0_'ZF_ZF_prod_set_set'] : 4.50/1.86 ( iProver_Flat_'fun_app$cy'(X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_set_set_ZF_ZF_prod_set_fun',X0_'ZF_ZF_prod_set_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'case_prod$e' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_nat_prod_ZF_set_ZF_set_prod_fun',X0_'ZF_nat_ZF_set_ZF_set_prod_fun_fun'] : 4.50/1.86 ( iProver_Flat_'case_prod$e'(X0_'ZF_nat_prod_ZF_set_ZF_set_prod_fun',X0_'ZF_nat_ZF_set_ZF_set_prod_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_nat_prod_ZF_set_ZF_set_prod_fun'=iProver_Domain_'ZF_nat_prod_ZF_set_ZF_set_prod_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'sigma$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_ZF_set_prod_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_set_fun'] : 4.50/1.86 ( iProver_Flat_'sigma$a'(X0_'ZF_set_ZF_set_prod_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_ZF_set_prod_set'=iProver_Domain_'ZF_set_ZF_set_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uxg$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_bool_fun_fun',X0_'ZF_bool_fun',X1_'ZF_bool_fun'] : 4.50/1.86 ( iProver_Flat_'uxg$'(X0_'ZF_ZF_bool_fun_fun',X0_'ZF_bool_fun',X1_'ZF_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_bool_fun_fun'=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'set$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( iProver_Flat_'set$a'(X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'collect$c' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_fun_set',X0_'ZF_ZF_fun_bool_fun'] : 4.50/1.86 ( iProver_Flat_'collect$c'(X0_'ZF_ZF_fun_set',X0_'ZF_ZF_fun_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_fun_set'=iProver_Domain_'ZF_ZF_fun_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uxp$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_nat_ZF_set_ZF_set_prod_fun_fun',X0_'ZF_ZF_set_fun',X0_'Nat_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'uxp$'(X0_'ZF_nat_ZF_set_ZF_set_prod_fun_fun',X0_'ZF_ZF_set_fun',X0_'Nat_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_nat_ZF_set_ZF_set_prod_fun_fun'=iProver_Domain_'ZF_nat_ZF_set_ZF_set_prod_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'relImage$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_ZF_set_prod_set',X0_'Nat_nat_prod_set',X0_'Nat_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'relImage$a'(X0_'ZF_set_ZF_set_prod_set',X0_'Nat_nat_prod_set',X0_'Nat_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_ZF_set_prod_set'=iProver_Domain_'ZF_set_ZF_set_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'sigma$h' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_prod_set',X0_'ZF_set',X0_'ZF_ZF_set_set_fun'] : 4.50/1.86 ( iProver_Flat_'sigma$h'(X0_'ZF_ZF_set_prod_set',X0_'ZF_set',X0_'ZF_ZF_set_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_set_prod_set'=iProver_Domain_'ZF_ZF_set_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'mapM$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_ZF_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : 4.50/1.86 ( iProver_Flat_'mapM$'(X0_'B_ZF_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_ZF_fun'=iProver_Domain_'B_ZF_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'obj$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_set',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.86 ( iProver_Flat_'obj$'(X0_'A_set',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_set'=iProver_Domain_'A_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'inverse$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_b_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.86 ( iProver_Flat_'inverse$'(X0_'B_b_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_b_fun'=iProver_Domain_'B_b_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uxq$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_nat_set_fun',X0_'Nat_set'] : 4.50/1.86 ( iProver_Flat_'uxq$'(X0_'ZF_nat_set_fun',X0_'Nat_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_nat_set_fun'=iProver_Domain_'ZF_nat_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uxo$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_ZF_set_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_set'] : 4.50/1.86 ( iProver_Flat_'uxo$'(X0_'ZF_set_ZF_set_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_ZF_set_fun'=iProver_Domain_'ZF_set_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uvv$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_bool_fun',X0_'ZF_b_fun',X0_'ZF_set',X1_'B_bool_fun'] : 4.50/1.86 ( iProver_Flat_'uvv$'(X0_'B_bool_fun',X0_'ZF_b_fun',X0_'ZF_set',X1_'B_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$bc' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_set',X0_'ZF_nat_set_fun',X0_'ZF'] : 4.50/1.86 ( iProver_Flat_'fun_app$bc'(X0_'Nat_set',X0_'ZF_nat_set_fun',X0_'ZF') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_set'=iProver_Domain_'Nat_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'collect$j' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_set',X0_'ZF_set_bool_fun'] : 4.50/1.86 ( iProver_Flat_'collect$j'(X0_'ZF_set_set',X0_'ZF_set_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_set'=iProver_Domain_'ZF_set_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uud$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_b_b_fun_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.86 ( iProver_Flat_'uud$'(X0_'B_b_b_fun_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_b_b_fun_fun'=iProver_Domain_'B_b_b_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$cd' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_ZF_set_prod_fun',X0_'Nat_ZF_ZF_set_ZF_set_prod_fun_fun',X0_'Nat'] : 4.50/1.86 ( iProver_Flat_'fun_app$cd'(X0_'ZF_ZF_set_ZF_set_prod_fun',X0_'Nat_ZF_ZF_set_ZF_set_prod_fun_fun',X0_'Nat') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_set_ZF_set_prod_fun'=iProver_Domain_'ZF_ZF_set_ZF_set_prod_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$cc' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_ZF_set_ZF_prod_fun',X0_'Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun',X0_'Nat'] : 4.50/1.86 ( iProver_Flat_'fun_app$cc'(X0_'ZF_ZF_prod_ZF_set_ZF_prod_fun',X0_'Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun',X0_'Nat') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_ZF_set_ZF_prod_fun'=iProver_Domain_'ZF_ZF_prod_ZF_set_ZF_prod_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uzu$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_ZF_ZF_prod_set_fun_fun',X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'uzu$'(X0_'ZF_ZF_ZF_ZF_prod_set_fun_fun',X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_ZF_ZF_prod_set_fun_fun'=iProver_Domain_'ZF_ZF_ZF_ZF_prod_set_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'vam$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_set_fun',X0_'ZF_nat_ZF_set_fun_fun',X0_'Nat_ZF_fun'] : 4.50/1.86 ( iProver_Flat_'vam$'(X0_'Nat_ZF_set_fun',X0_'ZF_nat_ZF_set_fun_fun',X0_'Nat_ZF_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uvc$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_fun',X0_'ZF_set_ZF_set_fun',X1_'ZF_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'uvc$'(X0_'ZF_ZF_set_fun',X0_'ZF_set_ZF_set_fun',X1_'ZF_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$ad' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_fun',X0_'ZF_ZF_ZF_set_fun_fun',X0_'ZF'] : 4.50/1.86 ( iProver_Flat_'fun_app$ad'(X0_'ZF_ZF_set_fun',X0_'ZF_ZF_ZF_set_fun_fun',X0_'ZF') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'constFunctor$e' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext',X1_'ZF_ZF_unit_Category_ext',X0_'ZF'] : 4.50/1.86 ( iProver_Flat_'constFunctor$e'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext',X1_'ZF_ZF_unit_Category_ext',X0_'ZF') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$be' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF',X0_'ZF_set_ZF_fun',X0_'ZF_set'] : 4.50/1.86 ( iProver_Flat_'fun_app$be'(X0_'ZF',X0_'ZF_set_ZF_fun',X0_'ZF_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uza$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_set_fun',X0_'ZF_nat_ZF_set_fun_fun',X0_'ZF_set'] : 4.50/1.86 ( iProver_Flat_'uza$'(X0_'Nat_ZF_set_fun',X0_'ZF_nat_ZF_set_fun_fun',X0_'ZF_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'mapsTo$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_bool_fun_fun',X0_'ZF_ZF_unit_Category_ext',X0_'ZF'] : 4.50/1.86 ( iProver_Flat_'mapsTo$a'(X0_'ZF_ZF_bool_fun_fun',X0_'ZF_ZF_unit_Category_ext',X0_'ZF') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_bool_fun_fun'=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$aq' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_set',X0_'A_ZF_set_fun',X0_'A_set'] : 4.50/1.86 ( iProver_Flat_'image$aq'(X0_'ZF_set_set',X0_'A_ZF_set_fun',X0_'A_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_set'=iProver_Domain_'ZF_set_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$bd' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_set',X0_'Nat_nat_set_fun',X0_'Nat'] : 4.50/1.86 ( iProver_Flat_'fun_app$bd'(X0_'Nat_set',X0_'Nat_nat_set_fun',X0_'Nat') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_set'=iProver_Domain_'Nat_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$bp' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_ZF_prod_set_fun',X0_'ZF_nat_ZF_ZF_prod_set_fun_fun',X0_'ZF'] : 4.50/1.86 ( iProver_Flat_'fun_app$bp'(X0_'Nat_ZF_ZF_prod_set_fun',X0_'ZF_nat_ZF_ZF_prod_set_fun_fun',X0_'ZF') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_ZF_prod_set_fun'=iProver_Domain_'Nat_ZF_ZF_prod_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uvp$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_bool_fun',X0_'A_b_fun',X0_'A_set',X1_'B_bool_fun'] : 4.50/1.86 ( iProver_Flat_'uvp$'(X0_'B_bool_fun',X0_'A_b_fun',X0_'A_set',X1_'B_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$bi' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A',X0_'ZF_a_fun',X0_'ZF'] : 4.50/1.86 ( iProver_Flat_'fun_app$bi'(X0_'A',X0_'ZF_a_fun',X0_'ZF') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$al' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_set_set',X0_'A_b_set_fun',X0_'A_set'] : 4.50/1.86 ( iProver_Flat_'image$al'(X0_'B_set_set',X0_'A_b_set_fun',X0_'A_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_set_set'=iProver_Domain_'B_set_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'case_prod$f' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_ZF_prod_ZF_ZF_set_prod_fun',X0_'ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun'] : 4.50/1.86 ( iProver_Flat_'case_prod$f'(X0_'ZF_ZF_prod_ZF_prod_ZF_ZF_set_prod_fun',X0_'ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_ZF_prod_ZF_ZF_set_prod_fun'=iProver_Domain_'ZF_ZF_prod_ZF_prod_ZF_ZF_set_prod_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'sup$g' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_bool_fun',X0_'A_bool_fun_set'] : 4.50/1.86 ( iProver_Flat_'sup$g'(X0_'A_bool_fun',X0_'A_bool_fun_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_bool_fun'=iProver_Domain_'A_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'homFtorContra$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A'] : 4.50/1.86 ( iProver_Flat_'homFtorContra$a'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uyz$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_ZF_set_fun_fun',X0_'ZF_nat_ZF_set_fun_fun'] : 4.50/1.86 ( iProver_Flat_'uyz$'(X0_'Nat_ZF_ZF_set_fun_fun',X0_'ZF_nat_ZF_set_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_ZF_set_fun_fun'=iProver_Domain_'Nat_ZF_ZF_set_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uxd$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_nat_set_fun'] : 4.50/1.86 ( iProver_Flat_'uxd$'(X0_'ZF_nat_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_nat_set_fun'=iProver_Domain_'ZF_nat_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$u' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set',X0_'ZF_set_set_ZF_set_fun',X0_'ZF_set_set'] : 4.50/1.86 ( iProver_Flat_'fun_app$u'(X0_'ZF_set',X0_'ZF_set_set_ZF_set_fun',X0_'ZF_set_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'inf$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_set',X0_'A_set_set'] : 4.50/1.86 ( iProver_Flat_'inf$a'(X0_'A_set',X0_'A_set_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_set'=iProver_Domain_'A_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$db' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_set_set',X0_'Nat_set_set_ZF_set_set_set_fun',X0_'Nat_set_set'] : 4.50/1.86 ( iProver_Flat_'fun_app$db'(X0_'ZF_set_set_set',X0_'Nat_set_set_ZF_set_set_set_fun',X0_'Nat_set_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_set_set'=iProver_Domain_'ZF_set_set_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uzw$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_bool_fun_fun',X1_'ZF_ZF_bool_fun_fun'] : 4.50/1.86 ( iProver_Flat_'uzw$'(X0_'ZF_ZF_bool_fun_fun',X1_'ZF_ZF_bool_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_bool_fun_fun'=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$r' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set',X0_'Nat_ZF_fun',X0_'Nat_set'] : 4.50/1.86 ( iProver_Flat_'image$r'(X0_'ZF_set',X0_'Nat_ZF_fun',X0_'Nat_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$ak' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_set_set',X0_'A_a_set_fun',X0_'A_set'] : 4.50/1.86 ( iProver_Flat_'image$ak'(X0_'A_set_set',X0_'A_a_set_fun',X0_'A_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_set_set'=iProver_Domain_'A_set_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'zFfunComp$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_ZF_fun_fun'] : 4.50/1.86 ( iProver_Flat_'zFfunComp$'(X0_'ZF_ZF_ZF_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'compDefined$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B'] : 4.50/1.86 ( iProver_Flat_'compDefined$a'(X0_'B_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'the$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF',X0_'ZF_bool_fun'] : 4.50/1.86 ( iProver_Flat_'the$'(X0_'ZF',X0_'ZF_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'constFunctor$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [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'] : 4.50/1.86 ( iProver_Flat_'constFunctor$a'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'ZF_ZF_unit_Category_ext',X0_'ZF') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$ag' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_ZF_prod_set',X0_'Nat_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun',X0_'Nat_ZF_ZF_prod_prod_set'] : 4.50/1.86 ( iProver_Flat_'image$ag'(X0_'ZF_set_ZF_prod_set',X0_'Nat_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun',X0_'Nat_ZF_ZF_prod_prod_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_ZF_prod_set'=iProver_Domain_'ZF_set_ZF_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uwb$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_bool_fun',X0_'ZF_ZF_fun',X0_'ZF_set',X1_'ZF_bool_fun'] : 4.50/1.86 ( iProver_Flat_'uwb$'(X0_'ZF_bool_fun',X0_'ZF_ZF_fun',X0_'ZF_set',X1_'ZF_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun'] : 4.50/1.86 ( iProver_Flat_'fun_app$a'(X0_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uvw$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_bool_fun',X0_'ZF_b_fun',X0_'ZF_set',X0_'B_bool_fun'] : 4.50/1.86 ( iProver_Flat_'uvw$'(X0_'ZF_bool_fun',X0_'ZF_b_fun',X0_'ZF_set',X0_'B_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'vap$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_fun',X0_'Nat_ZF_ZF_set_fun_fun',X0_'ZF_nat_fun'] : 4.50/1.86 ( iProver_Flat_'vap$'(X0_'ZF_ZF_set_fun',X0_'Nat_ZF_ZF_set_fun_fun',X0_'ZF_nat_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$as' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B',X0_'ZF_b_fun',X0_'ZF'] : 4.50/1.86 ( iProver_Flat_'fun_app$as'(X0_'B',X0_'ZF_b_fun',X0_'ZF') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uzf$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_nat_ZF_set_fun_fun',X1_'Nat_nat_ZF_set_fun_fun'] : 4.50/1.86 ( iProver_Flat_'uzf$'(X0_'Nat_nat_ZF_set_fun_fun',X1_'Nat_nat_ZF_set_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_nat_ZF_set_fun_fun'=iProver_Domain_'Nat_nat_ZF_set_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$ad' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_prod_set',X0_'ZF_ZF_prod_ZF_prod_ZF_ZF_set_prod_fun',X0_'ZF_ZF_prod_ZF_prod_set'] : 4.50/1.86 ( iProver_Flat_'image$ad'(X0_'ZF_ZF_set_prod_set',X0_'ZF_ZF_prod_ZF_prod_ZF_ZF_set_prod_fun',X0_'ZF_ZF_prod_ZF_prod_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_set_prod_set'=iProver_Domain_'ZF_ZF_set_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uxv$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_nat_set_fun',X0_'Nat_set'] : 4.50/1.86 ( iProver_Flat_'uxv$'(X0_'ZF_ZF_prod_nat_set_fun',X0_'Nat_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_nat_set_fun'=iProver_Domain_'ZF_ZF_prod_nat_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$af' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set',X0_'Nat_set_ZF_set_fun',X0_'Nat_set'] : 4.50/1.86 ( iProver_Flat_'fun_app$af'(X0_'ZF_set',X0_'Nat_set_ZF_set_fun',X0_'Nat_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$g' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_ZF_set_fun',X0_'ZF_ZF_fun'] : 4.50/1.86 ( iProver_Flat_'image$g'(X0_'ZF_set_ZF_set_fun',X0_'ZF_ZF_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_ZF_set_fun'=iProver_Domain_'ZF_set_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$bh' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_set',X0_'A_set_a_set_fun',X1_'A_set'] : 4.50/1.86 ( iProver_Flat_'fun_app$bh'(X0_'A_set',X0_'A_set_a_set_fun',X1_'A_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_set'=iProver_Domain_'A_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'vag$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_bool_fun',X0_'ZF_set_set'] : 4.50/1.86 ( iProver_Flat_'vag$'(X0_'ZF_bool_fun',X0_'ZF_set_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uxr$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'uxr$'(X0_'ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun'=iProver_Domain_'ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$br' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_ZF_ZF_prod_fun',X0_'ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun',X0_'ZF_ZF_prod'] : 4.50/1.86 ( iProver_Flat_'fun_app$br'(X0_'ZF_ZF_prod_ZF_ZF_prod_fun',X0_'ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun',X0_'ZF_ZF_prod') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_ZF_ZF_prod_fun'=iProver_Domain_'ZF_ZF_prod_ZF_ZF_prod_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$bx' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_ZF_set_ZF_prod_fun',X0_'ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun',X0_'ZF'] : 4.50/1.86 ( iProver_Flat_'fun_app$bx'(X0_'ZF_ZF_prod_ZF_set_ZF_prod_fun',X0_'ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun',X0_'ZF') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_ZF_set_ZF_prod_fun'=iProver_Domain_'ZF_ZF_prod_ZF_set_ZF_prod_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'case_prod$m' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_nat_prod_ZF_ZF_prod_set_fun',X0_'ZF_nat_ZF_ZF_prod_set_fun_fun'] : 4.50/1.86 ( iProver_Flat_'case_prod$m'(X0_'ZF_nat_prod_ZF_ZF_prod_set_fun',X0_'ZF_nat_ZF_ZF_prod_set_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_nat_prod_ZF_ZF_prod_set_fun'=iProver_Domain_'ZF_nat_prod_ZF_ZF_prod_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'case_prod$c' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_ZF_ZF_prod_fun',X0_'ZF_ZF_ZF_ZF_prod_fun_fun'] : 4.50/1.86 ( iProver_Flat_'case_prod$c'(X0_'ZF_ZF_prod_ZF_ZF_prod_fun',X0_'ZF_ZF_ZF_ZF_prod_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_ZF_ZF_prod_fun'=iProver_Domain_'ZF_ZF_prod_ZF_ZF_prod_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'gr$c' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_set',X0_'ZF_set',X0_'ZF_ZF_fun'] : 4.50/1.86 ( iProver_Flat_'gr$c'(X0_'ZF_ZF_prod_set',X0_'ZF_set',X0_'ZF_ZF_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uvm$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_bool_fun',X0_'A_a_fun',X0_'A_set',X1_'A_bool_fun'] : 4.50/1.86 ( iProver_Flat_'uvm$'(X0_'A_bool_fun',X0_'A_a_fun',X0_'A_set',X1_'A_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_bool_fun'=iProver_Domain_'A_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uvf$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun',X0_'ZF_ZF_fun'] : 4.50/1.86 ( iProver_Flat_'uvf$'(X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun',X0_'ZF_ZF_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'vaq$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_nat_fun_ZF_set_fun',X0_'Nat_ZF_ZF_set_fun_fun'] : 4.50/1.86 ( iProver_Flat_'vaq$'(X0_'ZF_nat_fun_ZF_set_fun',X0_'Nat_ZF_ZF_set_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_nat_fun_ZF_set_fun'=iProver_Domain_'ZF_nat_fun_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uwn$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_bool_fun',X0_'B_ZF_fun',X0_'B_set'] : 4.50/1.86 ( iProver_Flat_'uwn$'(X0_'ZF_bool_fun',X0_'B_ZF_fun',X0_'B_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'identityFunctor$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [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'] : 4.50/1.86 ( iProver_Flat_'identityFunctor$'(X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext'=iProver_Domain_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$i' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_set',X0_'ZF_a_fun',X0_'ZF_set'] : 4.50/1.86 ( iProver_Flat_'image$i'(X0_'A_set',X0_'ZF_a_fun',X0_'ZF_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_set'=iProver_Domain_'A_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'lSCategory_ext$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_c_LSCategory_ext',X0_'B_ZF_fun',X0_'C'] : 4.50/1.86 ( iProver_Flat_'lSCategory_ext$'(X0_'B_c_LSCategory_ext',X0_'B_ZF_fun',X0_'C') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_c_LSCategory_ext'=iProver_Domain_'B_c_LSCategory_ext'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'identityFunctor$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( iProver_Flat_'identityFunctor$a'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'top$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set'] : 4.50/1.86 ( iProver_Flat_'top$a'(X0_'ZF_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$ar' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF',X0_'B_ZF_fun',X0_'B'] : 4.50/1.86 ( iProver_Flat_'fun_app$ar'(X0_'ZF',X0_'B_ZF_fun',X0_'B') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'restrict$b' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_a_fun',X1_'B_a_fun',X0_'B_set'] : 4.50/1.86 ( iProver_Flat_'restrict$b'(X0_'B_a_fun',X1_'B_a_fun',X0_'B_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_a_fun'=iProver_Domain_'B_a_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$d' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod',X0_'ZF_ZF_ZF_prod_fun',X0_'ZF'] : 4.50/1.86 ( iProver_Flat_'fun_app$d'(X0_'ZF_ZF_prod',X0_'ZF_ZF_ZF_prod_fun',X0_'ZF') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod'=iProver_Domain_'ZF_ZF_prod'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$cp' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A',X0_'Nat_a_fun',X0_'Nat'] : 4.50/1.86 ( iProver_Flat_'fun_app$cp'(X0_'A',X0_'Nat_a_fun',X0_'Nat') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uyw$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_ZF_set_fun_fun',X1_'ZF_ZF_ZF_set_fun_fun'] : 4.50/1.86 ( iProver_Flat_'uyw$'(X0_'ZF_ZF_ZF_set_fun_fun',X1_'ZF_ZF_ZF_set_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_ZF_set_fun_fun'=iProver_Domain_'ZF_ZF_ZF_set_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$c' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Bool_set',X0_'ZF_set_set_bool_fun',X0_'ZF_set_set_set'] : 4.50/1.86 ( iProver_Flat_'image$c'(X0_'Bool_set',X0_'ZF_set_set_bool_fun',X0_'ZF_set_set_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Bool_set'=iProver_Domain_'Bool_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'inverse_rel$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_bool_fun_fun',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( iProver_Flat_'inverse_rel$a'(X0_'ZF_ZF_bool_fun_fun',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_bool_fun_fun'=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$x' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_set',X0_'Nat_a_fun',X0_'Nat_set'] : 4.50/1.86 ( iProver_Flat_'image$x'(X0_'A_set',X0_'Nat_a_fun',X0_'Nat_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_set'=iProver_Domain_'A_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'case_prod$d' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun',X0_'ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun'] : 4.50/1.86 ( iProver_Flat_'case_prod$d'(X0_'ZF_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun',X0_'ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun'=iProver_Domain_'ZF_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'case_prod$g' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_nat_prod_ZF_ZF_set_prod_fun',X0_'ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun'] : 4.50/1.86 ( iProver_Flat_'case_prod$g'(X0_'ZF_ZF_prod_nat_prod_ZF_ZF_set_prod_fun',X0_'ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_nat_prod_ZF_ZF_set_prod_fun'=iProver_Domain_'ZF_ZF_prod_nat_prod_ZF_ZF_set_prod_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uvy$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_bool_fun',X0_'A_ZF_fun',X0_'A_set',X0_'ZF_bool_fun'] : 4.50/1.86 ( iProver_Flat_'uvy$'(X0_'A_bool_fun',X0_'A_ZF_fun',X0_'A_set',X0_'ZF_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_bool_fun'=iProver_Domain_'A_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$ab' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_set_fun',X0_'ZF_nat_ZF_set_fun_fun',X0_'ZF'] : 4.50/1.86 ( iProver_Flat_'fun_app$ab'(X0_'Nat_ZF_set_fun',X0_'ZF_nat_ZF_set_fun_fun',X0_'ZF') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'vai$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_fun',X0_'ZF_ZF_ZF_set_fun_fun'] : 4.50/1.86 ( iProver_Flat_'vai$'(X0_'ZF_ZF_set_fun',X0_'ZF_ZF_ZF_set_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'van$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_fun_ZF_set_fun',X0_'ZF_nat_ZF_set_fun_fun'] : 4.50/1.86 ( iProver_Flat_'van$'(X0_'Nat_ZF_fun_ZF_set_fun',X0_'ZF_nat_ZF_set_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_fun_ZF_set_fun'=iProver_Domain_'Nat_ZF_fun_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uvq$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_bool_fun',X0_'A_b_fun',X0_'A_set',X0_'B_bool_fun'] : 4.50/1.86 ( iProver_Flat_'uvq$'(X0_'A_bool_fun',X0_'A_b_fun',X0_'A_set',X0_'B_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_bool_fun'=iProver_Domain_'A_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uxu$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'Nat_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'uxu$'(X0_'ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'Nat_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun'=iProver_Domain_'ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'member$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_bool_fun',X0_'ZF'] : 4.50/1.86 ( iProver_Flat_'member$'(X0_'ZF_set_bool_fun',X0_'ZF') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_bool_fun'=iProver_Domain_'ZF_set_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uyn$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'uyn$'(X0_'ZF_set_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_ZF_set_fun'=iProver_Domain_'ZF_set_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'vat$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_nat_fun_ZF_set_fun',X0_'Nat_nat_ZF_set_fun_fun'] : 4.50/1.86 ( iProver_Flat_'vat$'(X0_'Nat_nat_fun_ZF_set_fun',X0_'Nat_nat_ZF_set_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_nat_fun_ZF_set_fun'=iProver_Domain_'Nat_nat_fun_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$cu' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_set',X0_'B_b_set_fun',X0_'B'] : 4.50/1.86 ( iProver_Flat_'fun_app$cu'(X0_'B_set',X0_'B_b_set_fun',X0_'B') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uwe$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_bool_fun',X0_'ZF_set_a_fun',X0_'ZF_set_set',X0_'A_bool_fun'] : 4.50/1.86 ( iProver_Flat_'uwe$'(X0_'ZF_set_bool_fun',X0_'ZF_set_a_fun',X0_'ZF_set_set',X0_'A_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_bool_fun'=iProver_Domain_'ZF_set_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uum$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_b_b_fun_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.86 ( iProver_Flat_'uum$'(X0_'B_b_b_fun_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_b_b_fun_fun'=iProver_Domain_'B_b_b_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uyx$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_fun',X0_'ZF_ZF_ZF_set_fun_fun',X0_'ZF_set'] : 4.50/1.86 ( iProver_Flat_'uyx$'(X0_'ZF_ZF_set_fun',X0_'ZF_ZF_ZF_set_fun_fun',X0_'ZF_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$b' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Bool_set',X0_'ZF_set_bool_fun',X0_'ZF_set_set'] : 4.50/1.86 ( iProver_Flat_'image$b'(X0_'Bool_set',X0_'ZF_set_bool_fun',X0_'ZF_set_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Bool_set'=iProver_Domain_'Bool_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uwo$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_bool_fun',X0_'ZF_ZF_fun',X0_'ZF_set'] : 4.50/1.86 ( iProver_Flat_'uwo$'(X0_'ZF_bool_fun',X0_'ZF_ZF_fun',X0_'ZF_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uya$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_ZF_prod_set_fun',X0_'ZF_ZF_prod_set'] : 4.50/1.86 ( iProver_Flat_'uya$'(X0_'Nat_ZF_ZF_prod_set_fun',X0_'ZF_ZF_prod_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_ZF_prod_set_fun'=iProver_Domain_'Nat_ZF_ZF_prod_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'collect$f' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_b_fun_set',X0_'A_b_fun_bool_fun'] : 4.50/1.86 ( iProver_Flat_'collect$f'(X0_'A_b_fun_set',X0_'A_b_fun_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_b_fun_set'=iProver_Domain_'A_b_fun_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'relInvImage$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_nat_prod_set',X0_'Nat_set',X0_'ZF_set_ZF_set_prod_set',X0_'Nat_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'relInvImage$a'(X0_'Nat_nat_prod_set',X0_'Nat_set',X0_'ZF_set_ZF_set_prod_set',X0_'Nat_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_nat_prod_set'=iProver_Domain_'Nat_nat_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uxs$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_ZF_set_fun',X0_'ZF_set'] : 4.50/1.86 ( iProver_Flat_'uxs$'(X0_'ZF_ZF_prod_ZF_set_fun',X0_'ZF_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_ZF_set_fun'=iProver_Domain_'ZF_ZF_prod_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'hOMCollection$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_ZF_set_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A'] : 4.50/1.86 ( iProver_Flat_'hOMCollection$'(X0_'A_ZF_set_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_ZF_set_fun'=iProver_Domain_'A_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$y' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_set',X0_'Nat_b_fun',X0_'Nat_set'] : 4.50/1.86 ( iProver_Flat_'image$y'(X0_'B_set',X0_'Nat_b_fun',X0_'Nat_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'case_prod$h' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_prod_ZF_set_ZF_set_prod_fun',X0_'Nat_ZF_ZF_set_ZF_set_prod_fun_fun'] : 4.50/1.86 ( iProver_Flat_'case_prod$h'(X0_'Nat_ZF_prod_ZF_set_ZF_set_prod_fun',X0_'Nat_ZF_ZF_set_ZF_set_prod_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_prod_ZF_set_ZF_set_prod_fun'=iProver_Domain_'Nat_ZF_prod_ZF_set_ZF_set_prod_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$ab' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_ZF_prod_set',X0_'ZF_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun',X0_'ZF_ZF_ZF_prod_prod_set'] : 4.50/1.86 ( iProver_Flat_'image$ab'(X0_'ZF_set_ZF_prod_set',X0_'ZF_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun',X0_'ZF_ZF_ZF_prod_prod_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_ZF_prod_set'=iProver_Domain_'ZF_set_ZF_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$s' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set',X0_'ZF_ZF_set_fun',X0_'ZF'] : 4.50/1.86 ( iProver_Flat_'fun_app$s'(X0_'ZF_set',X0_'ZF_ZF_set_fun',X0_'ZF') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'vaa$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_set_fun',X0_'ZF_nat_bool_fun_fun'] : 4.50/1.86 ( iProver_Flat_'vaa$'(X0_'Nat_ZF_set_fun',X0_'ZF_nat_bool_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uyi$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_set_fun',X0_'ZF_set_set'] : 4.50/1.86 ( iProver_Flat_'uyi$'(X0_'ZF_ZF_set_set_fun',X0_'ZF_set_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_set_set_fun'=iProver_Domain_'ZF_ZF_set_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$cq' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B',X0_'Nat_b_fun',X0_'Nat'] : 4.50/1.86 ( iProver_Flat_'fun_app$cq'(X0_'B',X0_'Nat_b_fun',X0_'Nat') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$ae' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set'] : 4.50/1.86 ( iProver_Flat_'fun_app$ae'(X0_'ZF_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'swap$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_ZF_ZF_prod_fun'] : 4.50/1.86 ( iProver_Flat_'swap$'(X0_'ZF_ZF_prod_ZF_ZF_prod_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_ZF_ZF_prod_fun'=iProver_Domain_'ZF_ZF_prod_ZF_ZF_prod_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'inverse$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( iProver_Flat_'inverse$a'(X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'mapO$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_ZF_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : 4.50/1.86 ( iProver_Flat_'mapO$'(X0_'A_ZF_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_ZF_fun'=iProver_Domain_'A_ZF_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$y' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set',X0_'Nat_ZF_fun_ZF_set_fun',X0_'Nat_ZF_fun'] : 4.50/1.86 ( iProver_Flat_'fun_app$y'(X0_'ZF_set',X0_'Nat_ZF_fun_ZF_set_fun',X0_'Nat_ZF_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$ap' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_set_set',X0_'ZF_b_set_fun',X0_'ZF_set'] : 4.50/1.86 ( iProver_Flat_'image$ap'(X0_'B_set_set',X0_'ZF_b_set_fun',X0_'ZF_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_set_set'=iProver_Domain_'B_set_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uxe$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'uxe$'(X0_'Nat_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$bu' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_prod',X0_'Nat_ZF_ZF_set_prod_fun',X0_'Nat'] : 4.50/1.86 ( iProver_Flat_'fun_app$bu'(X0_'ZF_ZF_set_prod',X0_'Nat_ZF_ZF_set_prod_fun',X0_'Nat') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_set_prod'=iProver_Domain_'ZF_ZF_set_prod'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$bg' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_set',X0_'B_set_b_set_fun',X1_'B_set'] : 4.50/1.86 ( iProver_Flat_'fun_app$bg'(X0_'B_set',X0_'B_set_b_set_fun',X1_'B_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$bo' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_ZF_prod_set_fun',X0_'Nat_ZF_ZF_ZF_prod_set_fun_fun',X0_'Nat'] : 4.50/1.86 ( iProver_Flat_'fun_app$bo'(X0_'ZF_ZF_ZF_prod_set_fun',X0_'Nat_ZF_ZF_ZF_prod_set_fun_fun',X0_'Nat') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_ZF_prod_set_fun'=iProver_Domain_'ZF_ZF_ZF_prod_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'category_ext$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [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'] : 4.50/1.86 ( iProver_Flat_'category_ext$a'(X0_'ZF_ZF_unit_Category_ext',X0_'ZF_set',X1_'ZF_set',X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X2_'ZF_ZF_fun',X0_'ZF_ZF_ZF_fun_fun',X0_'Unit') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uyo$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_ZF_ZF_prod_set_fun',X0_'ZF_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'uyo$'(X0_'ZF_set_ZF_ZF_prod_set_fun',X0_'ZF_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_ZF_ZF_prod_set_fun'=iProver_Domain_'ZF_set_ZF_ZF_prod_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'homFtorMap$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A'] : 4.50/1.86 ( iProver_Flat_'homFtorMap$'(X0_'B_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_ZF_fun'=iProver_Domain_'B_ZF_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uzt$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_nat_ZF_ZF_prod_set_fun_fun',X0_'Nat_ZF_set_fun',X1_'Nat_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'uzt$'(X0_'Nat_nat_ZF_ZF_prod_set_fun_fun',X0_'Nat_ZF_set_fun',X1_'Nat_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_nat_ZF_ZF_prod_set_fun_fun'=iProver_Domain_'Nat_nat_ZF_ZF_prod_set_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uuq$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B'] : 4.50/1.86 ( iProver_Flat_'uuq$'(X0_'ZF_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uxf$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_nat_set_fun'] : 4.50/1.86 ( iProver_Flat_'uxf$'(X0_'Nat_nat_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_nat_set_fun'=iProver_Domain_'Nat_nat_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$bt' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_ZF_set_prod_fun',X0_'ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun',X0_'ZF_ZF_prod'] : 4.50/1.86 ( iProver_Flat_'fun_app$bt'(X0_'ZF_ZF_ZF_set_prod_fun',X0_'ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun',X0_'ZF_ZF_prod') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_ZF_set_prod_fun'=iProver_Domain_'ZF_ZF_ZF_set_prod_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'extensional$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_a_fun_set',X0_'B_set'] : 4.50/1.86 ( iProver_Flat_'extensional$'(X0_'B_a_fun_set',X0_'B_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_a_fun_set'=iProver_Domain_'B_a_fun_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$aj' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_ZF_set_prod_set',X0_'ZF_ZF_prod_ZF_set_ZF_set_prod_fun',X0_'ZF_ZF_prod_set'] : 4.50/1.86 ( iProver_Flat_'image$aj'(X0_'ZF_set_ZF_set_prod_set',X0_'ZF_ZF_prod_ZF_set_ZF_set_prod_fun',X0_'ZF_ZF_prod_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_ZF_set_prod_set'=iProver_Domain_'ZF_set_ZF_set_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$d' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Bool_set',X0_'B_set_bool_fun',X0_'B_set_set'] : 4.50/1.86 ( iProver_Flat_'image$d'(X0_'Bool_set',X0_'B_set_bool_fun',X0_'B_set_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Bool_set'=iProver_Domain_'Bool_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$cw' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_set',X0_'ZF_b_set_fun',X0_'ZF'] : 4.50/1.86 ( iProver_Flat_'fun_app$cw'(X0_'B_set',X0_'ZF_b_set_fun',X0_'ZF') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uuo$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'ZF'] : 4.50/1.86 ( iProver_Flat_'uuo$'(X0_'B_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'ZF') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'opair$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_ZF_fun_fun'] : 4.50/1.86 ( iProver_Flat_'opair$'(X0_'ZF_ZF_ZF_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uuy$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_bool_fun',X0_'B_set',X1_'B_bool_fun'] : 4.50/1.86 ( iProver_Flat_'uuy$'(X0_'B_bool_fun',X0_'B_set',X1_'B_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uyy$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_fun',X0_'ZF_nat_ZF_set_fun_fun',X0_'Nat_set'] : 4.50/1.86 ( iProver_Flat_'uyy$'(X0_'ZF_ZF_set_fun',X0_'ZF_nat_ZF_set_fun_fun',X0_'Nat_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'collect$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set',X0_'ZF_bool_fun'] : 4.50/1.86 ( iProver_Flat_'collect$'(X0_'ZF_set',X0_'ZF_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$ao' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat',X0_'ZF_nat_fun',X0_'ZF'] : 4.50/1.86 ( iProver_Flat_'fun_app$ao'(X0_'Nat',X0_'ZF_nat_fun',X0_'ZF') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'g$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B'] : 4.50/1.86 ( iProver_Flat_'g$'(X0_'B') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'vae$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_bool_fun',X0_'B_set_set'] : 4.50/1.86 ( iProver_Flat_'vae$'(X0_'B_bool_fun',X0_'B_set_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'member$b' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_set_bool_fun',X0_'B'] : 4.50/1.86 ( iProver_Flat_'member$b'(X0_'B_set_bool_fun',X0_'B') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_set_bool_fun'=iProver_Domain_'B_set_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$ac' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_fun',X0_'Nat_ZF_ZF_set_fun_fun',X0_'Nat'] : 4.50/1.86 ( iProver_Flat_'fun_app$ac'(X0_'ZF_ZF_set_fun',X0_'Nat_ZF_ZF_set_fun_fun',X0_'Nat') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'more_update$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_unit_Category_ext',X0_'Unit_unit_fun',X1_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( iProver_Flat_'more_update$'(X0_'ZF_ZF_unit_Category_ext',X0_'Unit_unit_fun',X1_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$aa' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_set',X0_'Nat_ZF_ZF_prod_fun',X0_'Nat_set'] : 4.50/1.86 ( iProver_Flat_'image$aa'(X0_'ZF_ZF_prod_set',X0_'Nat_ZF_ZF_prod_fun',X0_'Nat_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uzy$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_bool_fun',X0_'ZF_nat_bool_fun_fun'] : 4.50/1.86 ( iProver_Flat_'uzy$'(X0_'ZF_bool_fun',X0_'ZF_nat_bool_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uxw$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_set_fun',X0_'Nat_ZF_set_fun',X0_'Nat_set'] : 4.50/1.86 ( iProver_Flat_'uxw$'(X0_'ZF_ZF_set_set_fun',X0_'Nat_ZF_set_fun',X0_'Nat_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_set_set_fun'=iProver_Domain_'ZF_ZF_set_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'comp$b' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X0_'ZF_ZF_fun'] : 4.50/1.86 ( iProver_Flat_'comp$b'(X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X0_'ZF_ZF_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_fun_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_fun_ZF_ZF_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'top$f' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_fun_set'] : 4.50/1.86 ( iProver_Flat_'top$f'(X0_'ZF_ZF_fun_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_fun_set'=iProver_Domain_'ZF_ZF_fun_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'more$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_c_LSCategory_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.86 ( iProver_Flat_'more$'(X0_'B_c_LSCategory_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_c_LSCategory_ext'=iProver_Domain_'B_c_LSCategory_ext'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uwh$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_bool_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_bool_fun'] : 4.50/1.86 ( iProver_Flat_'uwh$'(X0_'ZF_bool_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uyr$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun',X2_'ZF_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'uyr$'(X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun',X2_'ZF_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'restrict$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_ZF_fun',X1_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_set'] : 4.50/1.86 ( iProver_Flat_'restrict$'(X0_'ZF_ZF_prod_ZF_fun',X1_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_ZF_fun'=iProver_Domain_'ZF_ZF_prod_ZF_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$bi' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_bool_fun_set',X0_'B_set_b_bool_fun_fun',X0_'B_set_set'] : 4.50/1.86 ( iProver_Flat_'image$bi'(X0_'B_bool_fun_set',X0_'B_set_b_bool_fun_fun',X0_'B_set_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_bool_fun_set'=iProver_Domain_'B_bool_fun_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'more$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Unit',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( iProver_Flat_'more$a'(X0_'Unit',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Unit'=iProver_Domain_'Unit'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uvs$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_bool_fun',X0_'B_b_fun',X0_'B_set',X1_'B_bool_fun'] : 4.50/1.86 ( iProver_Flat_'uvs$'(X0_'B_bool_fun',X0_'B_b_fun',X0_'B_set',X1_'B_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'comp$i' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_set_ZF_set_fun',X1_'ZF_set_set_ZF_set_fun',X0_'ZF_set_set_ZF_set_set_fun'] : 4.50/1.86 ( iProver_Flat_'comp$i'(X0_'ZF_set_set_ZF_set_fun',X1_'ZF_set_set_ZF_set_fun',X0_'ZF_set_set_ZF_set_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_set_ZF_set_fun'=iProver_Domain_'ZF_set_set_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$bn' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_set',X0_'ZF_ZF_fun_ZF_set_fun',X0_'ZF_ZF_fun_set'] : 4.50/1.86 ( iProver_Flat_'image$bn'(X0_'ZF_set_set',X0_'ZF_ZF_fun_ZF_set_fun',X0_'ZF_ZF_fun_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_set'=iProver_Domain_'ZF_set_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$cb' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_set_ZF_set_prod_fun',X0_'ZF_nat_ZF_set_ZF_set_prod_fun_fun',X0_'ZF'] : 4.50/1.86 ( iProver_Flat_'fun_app$cb'(X0_'Nat_ZF_set_ZF_set_prod_fun',X0_'ZF_nat_ZF_set_ZF_set_prod_fun_fun',X0_'ZF') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_set_ZF_set_prod_fun'=iProver_Domain_'Nat_ZF_set_ZF_set_prod_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$bs' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_prod',X0_'ZF_ZF_ZF_set_prod_fun',X0_'ZF'] : 4.50/1.86 ( iProver_Flat_'fun_app$bs'(X0_'ZF_ZF_set_prod',X0_'ZF_ZF_ZF_set_prod_fun',X0_'ZF') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_set_prod'=iProver_Domain_'ZF_ZF_set_prod'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'vaj$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_fun',X0_'ZF_ZF_ZF_set_fun_fun',X0_'ZF_ZF_fun'] : 4.50/1.86 ( iProver_Flat_'vaj$'(X0_'ZF_ZF_set_fun',X0_'ZF_ZF_ZF_set_fun_fun',X0_'ZF_ZF_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'restrict$c' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_b_fun',X1_'A_b_fun',X0_'A_set'] : 4.50/1.86 ( iProver_Flat_'restrict$c'(X0_'A_b_fun',X1_'A_b_fun',X0_'A_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_b_fun'=iProver_Domain_'A_b_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'dom$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_a_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.86 ( iProver_Flat_'dom$'(X0_'B_a_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_a_fun'=iProver_Domain_'B_a_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'elem$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_bool_fun_fun'] : 4.50/1.86 ( iProver_Flat_'elem$'(X0_'ZF_ZF_bool_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_bool_fun_fun'=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'zFfunDom$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_fun'] : 4.50/1.86 ( iProver_Flat_'zFfunDom$'(X0_'ZF_ZF_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uzk$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_set_set_fun',X0_'ZF_ZF_set_fun',X0_'Nat_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'uzk$'(X0_'Nat_ZF_set_set_fun',X0_'ZF_ZF_set_fun',X0_'Nat_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_set_set_fun'=iProver_Domain_'Nat_ZF_set_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'vak$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_fun_ZF_set_fun',X0_'ZF_ZF_ZF_set_fun_fun'] : 4.50/1.86 ( iProver_Flat_'vak$'(X0_'ZF_ZF_fun_ZF_set_fun',X0_'ZF_ZF_ZF_set_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_fun_ZF_set_fun'=iProver_Domain_'ZF_ZF_fun_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$o' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_set',X0_'A_b_fun',X0_'A_set'] : 4.50/1.86 ( iProver_Flat_'image$o'(X0_'B_set',X0_'A_b_fun',X0_'A_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uyk$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_ZF_set_fun_fun'] : 4.50/1.86 ( iProver_Flat_'uyk$'(X0_'ZF_ZF_ZF_set_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_ZF_set_fun_fun'=iProver_Domain_'ZF_ZF_ZF_set_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$bb' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set',X0_'ZF_ZF_prod_ZF_set_fun',X0_'ZF_ZF_prod'] : 4.50/1.86 ( iProver_Flat_'fun_app$bb'(X0_'ZF_set',X0_'ZF_ZF_prod_ZF_set_fun',X0_'ZF_ZF_prod') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'zFfunApp$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_ZF_fun_fun'] : 4.50/1.86 ( iProver_Flat_'zFfunApp$'(X0_'ZF_ZF_ZF_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uzr$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_ZF_ZF_prod_set_fun_fun',X0_'Nat_ZF_set_fun',X0_'ZF_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'uzr$'(X0_'Nat_ZF_ZF_ZF_prod_set_fun_fun',X0_'Nat_ZF_set_fun',X0_'ZF_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_ZF_ZF_prod_set_fun_fun'=iProver_Domain_'Nat_ZF_ZF_ZF_prod_set_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'case_prod$p' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_ZF_ZF_prod_set_fun',X0_'ZF_ZF_ZF_ZF_prod_set_fun_fun'] : 4.50/1.86 ( iProver_Flat_'case_prod$p'(X0_'ZF_ZF_prod_ZF_ZF_prod_set_fun',X0_'ZF_ZF_ZF_ZF_prod_set_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_ZF_ZF_prod_set_fun'=iProver_Domain_'ZF_ZF_prod_ZF_ZF_prod_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uws$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_bool_fun'] : 4.50/1.86 ( iProver_Flat_'uws$'(X0_'Nat_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_bool_fun'=iProver_Domain_'Nat_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uwg$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_bool_fun',X0_'ZF_ZF_set_fun',X0_'ZF_bool_fun'] : 4.50/1.86 ( iProver_Flat_'uwg$'(X0_'ZF_set_bool_fun',X0_'ZF_ZF_set_fun',X0_'ZF_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_bool_fun'=iProver_Domain_'ZF_set_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'case_prod$b' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_bool_fun',X0_'ZF_ZF_bool_fun_fun'] : 4.50/1.86 ( iProver_Flat_'case_prod$b'(X0_'ZF_ZF_prod_bool_fun',X0_'ZF_ZF_bool_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_bool_fun'=iProver_Domain_'ZF_ZF_prod_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uzo$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_nat_ZF_ZF_prod_set_fun_fun',X0_'ZF_ZF_set_fun',X0_'Nat_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'uzo$'(X0_'ZF_nat_ZF_ZF_prod_set_fun_fun',X0_'ZF_ZF_set_fun',X0_'Nat_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_nat_ZF_ZF_prod_set_fun_fun'=iProver_Domain_'ZF_nat_ZF_ZF_prod_set_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'cod$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( iProver_Flat_'cod$a'(X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uvn$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_bool_fun',X0_'B_a_fun',X0_'B_set',X1_'A_bool_fun'] : 4.50/1.86 ( iProver_Flat_'uvn$'(X0_'A_bool_fun',X0_'B_a_fun',X0_'B_set',X1_'A_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_bool_fun'=iProver_Domain_'A_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uwy$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_bool_fun_fun'] : 4.50/1.86 ( iProver_Flat_'uwy$'(X0_'ZF_ZF_bool_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_bool_fun_fun'=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'more$b' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'C',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.86 ( iProver_Flat_'more$b'(X0_'C',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'C'=iProver_Domain_'C'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$v' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_set',X0_'Nat_set_ZF_set_set_fun',X0_'Nat_set'] : 4.50/1.86 ( iProver_Flat_'fun_app$v'(X0_'ZF_set_set',X0_'Nat_set_ZF_set_set_fun',X0_'Nat_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_set'=iProver_Domain_'ZF_set_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'vad$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_bool_fun',X0_'A_set_set'] : 4.50/1.86 ( iProver_Flat_'vad$'(X0_'A_bool_fun',X0_'A_set_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_bool_fun'=iProver_Domain_'A_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$cf' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_ZF_ZF_prod_set_fun',X0_'ZF_ZF_prod'] : 4.50/1.86 ( iProver_Flat_'fun_app$cf'(X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_ZF_ZF_prod_set_fun',X0_'ZF_ZF_prod') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'comp$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( iProver_Flat_'comp$'(X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uuv$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun'] : 4.50/1.86 ( iProver_Flat_'uuv$'(X0_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$ar' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_set',X0_'B_ZF_set_fun',X0_'B_set'] : 4.50/1.86 ( iProver_Flat_'image$ar'(X0_'ZF_set_set',X0_'B_ZF_set_fun',X0_'B_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_set'=iProver_Domain_'ZF_set_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'zF2mor$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_b_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.86 ( iProver_Flat_'zF2mor$'(X0_'ZF_b_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_b_fun'=iProver_Domain_'ZF_b_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uus$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_ZF_fun_fun',X0_'ZF'] : 4.50/1.86 ( iProver_Flat_'uus$'(X0_'ZF_ZF_ZF_fun_fun',X0_'ZF') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$t' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_ZF_ZF_prod_fun',X1_'ZF_ZF_prod_set'] : 4.50/1.86 ( iProver_Flat_'image$t'(X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_ZF_ZF_prod_fun',X1_'ZF_ZF_prod_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uxz$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun',X0_'Nat_ZF_set_fun',X0_'ZF_ZF_prod_ZF_fun'] : 4.50/1.86 ( iProver_Flat_'uxz$'(X0_'Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun',X0_'Nat_ZF_set_fun',X0_'ZF_ZF_prod_ZF_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun'=iProver_Domain_'Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'dom_update$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( iProver_Flat_'dom_update$a'(X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uwm$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_bool_fun',X0_'A_ZF_fun',X0_'A_set'] : 4.50/1.86 ( iProver_Flat_'uwm$'(X0_'ZF_bool_fun',X0_'A_ZF_fun',X0_'A_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$ce' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_set_ZF_set_prod_fun',X0_'Nat_nat_ZF_set_ZF_set_prod_fun_fun',X0_'Nat'] : 4.50/1.86 ( iProver_Flat_'fun_app$ce'(X0_'Nat_ZF_set_ZF_set_prod_fun',X0_'Nat_nat_ZF_set_ZF_set_prod_fun_fun',X0_'Nat') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_set_ZF_set_prod_fun'=iProver_Domain_'Nat_ZF_set_ZF_set_prod_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$cm' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Unit',X0_'Unit_unit_fun',X1_'Unit'] : 4.50/1.86 ( iProver_Flat_'fun_app$cm'(X0_'Unit',X0_'Unit_unit_fun',X1_'Unit') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Unit'=iProver_Domain_'Unit'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$at' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_bool_fun',X0_'Nat_ZF_bool_fun_fun',X0_'Nat'] : 4.50/1.86 ( iProver_Flat_'fun_app$at'(X0_'ZF_bool_fun',X0_'Nat_ZF_bool_fun_fun',X0_'Nat') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'homFtorMapContra$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B'] : 4.50/1.86 ( iProver_Flat_'homFtorMapContra$'(X0_'A_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_ZF_fun'=iProver_Domain_'A_ZF_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uue$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( iProver_Flat_'uue$'(X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uzj$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_set_fun',X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'uzj$'(X0_'ZF_ZF_set_set_fun',X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_set_set_fun'=iProver_Domain_'ZF_ZF_set_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uzq$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_ZF_set_fun_fun',X0_'ZF_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'uzq$'(X0_'ZF_ZF_ZF_set_fun_fun',X0_'ZF_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_ZF_set_fun_fun'=iProver_Domain_'ZF_ZF_ZF_set_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'collect$g' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_set',X0_'Nat_bool_fun'] : 4.50/1.86 ( iProver_Flat_'collect$g'(X0_'Nat_set',X0_'Nat_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_set'=iProver_Domain_'Nat_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'constFunctor$c' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext',X1_'ZF_ZF_unit_Category_ext',X0_'ZF'] : 4.50/1.86 ( iProver_Flat_'constFunctor$c'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext',X1_'ZF_ZF_unit_Category_ext',X0_'ZF') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$by' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_ZF_set_prod',X0_'ZF_ZF_set_ZF_set_prod_fun',X0_'ZF'] : 4.50/1.86 ( iProver_Flat_'fun_app$by'(X0_'ZF_set_ZF_set_prod',X0_'ZF_ZF_set_ZF_set_prod_fun',X0_'ZF') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_ZF_set_prod'=iProver_Domain_'ZF_set_ZF_set_prod'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$am' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B',X0_'B_b_fun',X1_'B'] : 4.50/1.86 ( iProver_Flat_'fun_app$am'(X0_'B',X0_'B_b_fun',X1_'B') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'collect$h' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_set',X0_'A_bool_fun'] : 4.50/1.86 ( iProver_Flat_'collect$h'(X0_'A_set',X0_'A_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_set'=iProver_Domain_'A_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uzh$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_ZF_prod_set_fun'] : 4.50/1.86 ( iProver_Flat_'uzh$'(X0_'ZF_ZF_set_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_ZF_prod_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'comp$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_b_b_fun_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.86 ( iProver_Flat_'comp$a'(X0_'B_b_b_fun_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_b_b_fun_fun'=iProver_Domain_'B_b_b_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$au' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set',X0_'ZF_ZF_prod_set_ZF_set_fun',X0_'ZF_ZF_prod_set'] : 4.50/1.86 ( iProver_Flat_'fun_app$au'(X0_'ZF_set',X0_'ZF_ZF_prod_set_ZF_set_fun',X0_'ZF_ZF_prod_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uyu$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_ZF_set_fun',X0_'ZF_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'uyu$'(X0_'ZF_set_ZF_set_fun',X0_'ZF_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_ZF_set_fun'=iProver_Domain_'ZF_set_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'relImage$b' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_ZF_ZF_prod_prod_set',X0_'ZF_ZF_prod_ZF_fun'] : 4.50/1.86 ( iProver_Flat_'relImage$b'(X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_ZF_ZF_prod_prod_set',X0_'ZF_ZF_prod_ZF_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uxx$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_ZF_set_ZF_set_prod_fun_fun',X0_'Nat_ZF_set_fun',X0_'ZF_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'uxx$'(X0_'Nat_ZF_ZF_set_ZF_set_prod_fun_fun',X0_'Nat_ZF_set_fun',X0_'ZF_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_ZF_set_ZF_set_prod_fun_fun'=iProver_Domain_'Nat_ZF_ZF_set_ZF_set_prod_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$bq' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_ZF_prod_set_fun',X0_'Nat_nat_ZF_ZF_prod_set_fun_fun',X0_'Nat'] : 4.50/1.86 ( iProver_Flat_'fun_app$bq'(X0_'Nat_ZF_ZF_prod_set_fun',X0_'Nat_nat_ZF_ZF_prod_set_fun_fun',X0_'Nat') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_ZF_prod_set_fun'=iProver_Domain_'Nat_ZF_ZF_prod_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uyd$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun',X0_'ZF_ZF_prod_ZF_fun',X1_'ZF_ZF_prod_ZF_fun'] : 4.50/1.86 ( iProver_Flat_'uyd$'(X0_'ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun',X0_'ZF_ZF_prod_ZF_fun',X1_'ZF_ZF_prod_ZF_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun'=iProver_Domain_'ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uvj$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_fun',X0_'Nat_ZF_set_fun',X0_'ZF_nat_fun'] : 4.50/1.86 ( iProver_Flat_'uvj$'(X0_'ZF_ZF_set_fun',X0_'Nat_ZF_set_fun',X0_'ZF_nat_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uwq$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_ZF_prod_fun'] : 4.50/1.86 ( iProver_Flat_'uwq$'(X0_'ZF_ZF_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_ZF_prod_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'pair$d' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_ZF_set_prod',X0_'ZF_set',X1_'ZF_set'] : 4.50/1.86 ( iProver_Flat_'pair$d'(X0_'ZF_set_ZF_set_prod',X0_'ZF_set',X1_'ZF_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_ZF_set_prod'=iProver_Domain_'ZF_set_ZF_set_prod'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$j' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_set',X0_'ZF_set_a_fun',X0_'ZF_set_set'] : 4.50/1.86 ( iProver_Flat_'image$j'(X0_'A_set',X0_'ZF_set_a_fun',X0_'ZF_set_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_set'=iProver_Domain_'A_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF',X0_'ZF_ZF_fun',X1_'ZF'] : 4.50/1.86 ( iProver_Flat_'fun_app$'(X0_'ZF',X0_'ZF_ZF_fun',X1_'ZF') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$l' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_bool_fun',X0_'B_set_b_bool_fun_fun',X0_'B_set'] : 4.50/1.86 ( iProver_Flat_'fun_app$l'(X0_'B_bool_fun',X0_'B_set_b_bool_fun_fun',X0_'B_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'objIso$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_bool_fun_fun',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( iProver_Flat_'objIso$'(X0_'ZF_ZF_bool_fun_fun',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_bool_fun_fun'=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$ax' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_set',X0_'ZF_ZF_set_set_fun',X0_'ZF'] : 4.50/1.86 ( iProver_Flat_'fun_app$ax'(X0_'ZF_set_set',X0_'ZF_ZF_set_set_fun',X0_'ZF') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_set'=iProver_Domain_'ZF_set_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$cs' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_set',X0_'A_b_set_fun',X0_'A'] : 4.50/1.86 ( iProver_Flat_'fun_app$cs'(X0_'B_set',X0_'A_b_set_fun',X0_'A') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uzz$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_bool_fun',X0_'ZF_nat_bool_fun_fun',X0_'Nat'] : 4.50/1.86 ( iProver_Flat_'uzz$'(X0_'ZF_bool_fun',X0_'ZF_nat_bool_fun_fun',X0_'Nat') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$aw' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_set',X0_'Nat_ZF_ZF_prod_set_fun',X0_'Nat'] : 4.50/1.86 ( iProver_Flat_'fun_app$aw'(X0_'ZF_ZF_prod_set',X0_'Nat_ZF_ZF_prod_set_fun',X0_'Nat') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'collect$e' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_a_fun_set',X0_'B_a_fun_bool_fun'] : 4.50/1.86 ( iProver_Flat_'collect$e'(X0_'B_a_fun_set',X0_'B_a_fun_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_a_fun_set'=iProver_Domain_'B_a_fun_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$g' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_bool_fun',X0_'ZF_set_ZF_bool_fun_fun',X0_'ZF_set'] : 4.50/1.86 ( iProver_Flat_'fun_app$g'(X0_'ZF_bool_fun',X0_'ZF_set_ZF_bool_fun_fun',X0_'ZF_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'restrict$d' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_set'] : 4.50/1.86 ( iProver_Flat_'restrict$d'(X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$af' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_ZF_set_prod_set',X0_'Nat_ZF_prod_ZF_set_ZF_set_prod_fun',X0_'Nat_ZF_prod_set'] : 4.50/1.86 ( iProver_Flat_'image$af'(X0_'ZF_set_ZF_set_prod_set',X0_'Nat_ZF_prod_ZF_set_ZF_set_prod_fun',X0_'Nat_ZF_prod_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_ZF_set_prod_set'=iProver_Domain_'ZF_set_ZF_set_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uvl$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_bool_fun',X0_'A_a_fun',X0_'A_set',X1_'A_bool_fun'] : 4.50/1.86 ( iProver_Flat_'uvl$'(X0_'A_bool_fun',X0_'A_a_fun',X0_'A_set',X1_'A_bool_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_bool_fun'=iProver_Domain_'A_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'isomorphism$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.86 ( iProver_Flat_'isomorphism$a'(X0_'B_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$bd' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_set_set',X0_'ZF_nat_prod_ZF_ZF_prod_set_fun',X0_'ZF_nat_prod_set'] : 4.50/1.86 ( iProver_Flat_'image$bd'(X0_'ZF_ZF_prod_set_set',X0_'ZF_nat_prod_ZF_ZF_prod_set_fun',X0_'ZF_nat_prod_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_set_set'=iProver_Domain_'ZF_ZF_prod_set_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$q' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_set_ZF_set_set_fun',X0_'ZF_set_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'image$q'(X0_'ZF_set_set_ZF_set_set_fun',X0_'ZF_set_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_set_ZF_set_set_fun'=iProver_Domain_'ZF_set_set_ZF_set_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$an' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'B_b_fun',X0_'B_b_b_fun_fun',X0_'B'] : 4.50/1.86 ( iProver_Flat_'fun_app$an'(X0_'B_b_fun',X0_'B_b_b_fun_fun',X0_'B') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'B_b_fun'=iProver_Domain_'B_b_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uwz$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_ZF_set_set_fun',X0_'ZF_ZF_set_fun',X0_'ZF_set'] : 4.50/1.86 ( iProver_Flat_'uwz$'(X0_'ZF_set_ZF_set_set_fun',X0_'ZF_ZF_set_fun',X0_'ZF_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_ZF_set_set_fun'=iProver_Domain_'ZF_set_ZF_set_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uuu$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_fun'] : 4.50/1.86 ( iProver_Flat_'uuu$'(X0_'ZF_ZF_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$av' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_set_set_ZF_set_set_fun',X0_'ZF_ZF_prod_set_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'image$av'(X0_'ZF_ZF_prod_set_set_ZF_set_set_fun',X0_'ZF_ZF_prod_set_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_set_set_ZF_set_set_fun'=iProver_Domain_'ZF_ZF_prod_set_set_ZF_set_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$aw' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_set_set',X0_'ZF_nat_set_fun',X0_'ZF_set'] : 4.50/1.86 ( iProver_Flat_'image$aw'(X0_'Nat_set_set',X0_'ZF_nat_set_fun',X0_'ZF_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_set_set'=iProver_Domain_'Nat_set_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$bp' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set_set',X0_'ZF_nat_fun_ZF_set_fun',X0_'ZF_nat_fun_set'] : 4.50/1.86 ( iProver_Flat_'image$bp'(X0_'ZF_set_set',X0_'ZF_nat_fun_ZF_set_fun',X0_'ZF_nat_fun_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set_set'=iProver_Domain_'ZF_set_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$ap' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat',X0_'Nat_nat_fun',X1_'Nat'] : 4.50/1.86 ( iProver_Flat_'fun_app$ap'(X0_'Nat',X0_'Nat_nat_fun',X1_'Nat') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$am' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'A_set_set',X0_'B_a_set_fun',X0_'B_set'] : 4.50/1.86 ( iProver_Flat_'image$am'(X0_'A_set_set',X0_'B_a_set_fun',X0_'B_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'A_set_set'=iProver_Domain_'A_set_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'top$c' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_nat_prod_set'] : 4.50/1.86 ( iProver_Flat_'top$c'(X0_'ZF_nat_prod_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_nat_prod_set'=iProver_Domain_'ZF_nat_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'vab$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_bool_fun_fun',X0_'ZF_ZF_set_fun'] : 4.50/1.86 ( iProver_Flat_'vab$'(X0_'ZF_ZF_bool_fun_fun',X0_'ZF_ZF_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_bool_fun_fun'=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'fun_app$z' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_set',X0_'ZF_ZF_fun_ZF_set_fun',X0_'ZF_ZF_fun'] : 4.50/1.86 ( iProver_Flat_'fun_app$z'(X0_'ZF_set',X0_'ZF_ZF_fun_ZF_set_fun',X0_'ZF_ZF_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'isomorphism$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_bool_fun',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( iProver_Flat_'isomorphism$'(X0_'ZF_bool_fun',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'image$ae' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_set_prod_set',X0_'ZF_ZF_prod_nat_prod_ZF_ZF_set_prod_fun',X0_'ZF_ZF_prod_nat_prod_set'] : 4.50/1.86 ( iProver_Flat_'image$ae'(X0_'ZF_ZF_set_prod_set',X0_'ZF_ZF_prod_nat_prod_ZF_ZF_set_prod_fun',X0_'ZF_ZF_prod_nat_prod_set') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_set_prod_set'=iProver_Domain_'ZF_ZF_set_prod_set'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'uzi$' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_set_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'Nat_ZF_ZF_prod_set_fun'] : 4.50/1.86 ( iProver_Flat_'uzi$'(X0_'Nat_ZF_set_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'Nat_ZF_ZF_prod_set_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'id$a' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.86 ( iProver_Flat_'id$a'(X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'case_prod$k' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'ZF_ZF_prod_ZF_ZF_prod_prod_ZF_ZF_prod_fun',X0_'ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun'] : 4.50/1.86 ( iProver_Flat_'case_prod$k'(X0_'ZF_ZF_prod_ZF_ZF_prod_prod_ZF_ZF_prod_fun',X0_'ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun') <=> 4.50/1.86 ( 4.50/1.86 ( 4.50/1.86 ( X0_'ZF_ZF_prod_ZF_ZF_prod_prod_ZF_ZF_prod_fun'=iProver_Domain_'ZF_ZF_prod_ZF_ZF_prod_prod_ZF_ZF_prod_fun'_1 ) 4.50/1.86 ) 4.50/1.86 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ) 4.50/1.86 ). 4.50/1.86 4.50/1.86 %------ Positive definition of iProver_Flat_'sigma$j' 4.50/1.86 fof(lit_def,axiom, 4.50/1.86 (! [X0_'Nat_ZF_ZF_prod_prod_set',X0_'Nat_set',X0_'Nat_ZF_ZF_prod_set_fun'] : 4.50/1.87 ( iProver_Flat_'sigma$j'(X0_'Nat_ZF_ZF_prod_prod_set',X0_'Nat_set',X0_'Nat_ZF_ZF_prod_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat_ZF_ZF_prod_prod_set'=iProver_Domain_'Nat_ZF_ZF_prod_prod_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'uzc$' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_nat_ZF_set_fun_fun',X0_'Nat_ZF_ZF_set_fun_fun'] : 4.50/1.87 ( iProver_Flat_'uzc$'(X0_'ZF_nat_ZF_set_fun_fun',X0_'Nat_ZF_ZF_set_fun_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_nat_ZF_set_fun_fun'=iProver_Domain_'ZF_nat_ZF_set_fun_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'comp$c' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [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'] : 4.50/1.87 ( iProver_Flat_'comp$c'(X0_'Nat_set_set_ZF_set_set_fun',X0_'ZF_set_set_set_ZF_set_set_fun',X0_'Nat_set_set_ZF_set_set_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat_set_set_ZF_set_set_fun'=iProver_Domain_'Nat_set_set_ZF_set_set_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'uvd$' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_fun',X1_'ZF_ZF_prod_ZF_fun'] : 4.50/1.87 ( iProver_Flat_'uvd$'(X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_fun',X1_'ZF_ZF_prod_ZF_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_prod_ZF_fun'=iProver_Domain_'ZF_ZF_prod_ZF_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'uvt$' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A_bool_fun',X0_'ZF_a_fun',X0_'ZF_set',X1_'A_bool_fun'] : 4.50/1.87 ( iProver_Flat_'uvt$'(X0_'A_bool_fun',X0_'ZF_a_fun',X0_'ZF_set',X1_'A_bool_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A_bool_fun'=iProver_Domain_'A_bool_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'fun_app$dc' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set_set',X0_'ZF_ZF_prod_set_set_ZF_set_set_fun',X0_'ZF_ZF_prod_set_set'] : 4.50/1.87 ( iProver_Flat_'fun_app$dc'(X0_'ZF_set_set',X0_'ZF_ZF_prod_set_set_ZF_set_set_fun',X0_'ZF_ZF_prod_set_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set_set'=iProver_Domain_'ZF_set_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'constFunctor$b' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [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'] : 4.50/1.87 ( iProver_Flat_'constFunctor$b'(X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext'=iProver_Domain_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'fun_app$cz' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat_set',X0_'Nat_set_set_nat_set_fun',X0_'Nat_set_set'] : 4.50/1.87 ( iProver_Flat_'fun_app$cz'(X0_'Nat_set',X0_'Nat_set_set_nat_set_fun',X0_'Nat_set_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat_set'=iProver_Domain_'Nat_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'uwi$' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_bool_fun',X0_'ZF_ZF_fun',X1_'ZF_bool_fun'] : 4.50/1.87 ( iProver_Flat_'uwi$'(X0_'ZF_bool_fun',X0_'ZF_ZF_fun',X1_'ZF_bool_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'uyf$' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_ZF_set_ZF_set_prod_fun_fun',X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_'uyf$'(X0_'ZF_ZF_ZF_set_ZF_set_prod_fun_fun',X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_ZF_set_ZF_set_prod_fun_fun'=iProver_Domain_'ZF_ZF_ZF_set_ZF_set_prod_fun_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'case_prod$j' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat_nat_prod_ZF_set_ZF_set_prod_fun',X0_'Nat_nat_ZF_set_ZF_set_prod_fun_fun'] : 4.50/1.87 ( iProver_Flat_'case_prod$j'(X0_'Nat_nat_prod_ZF_set_ZF_set_prod_fun',X0_'Nat_nat_ZF_set_ZF_set_prod_fun_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat_nat_prod_ZF_set_ZF_set_prod_fun'=iProver_Domain_'Nat_nat_prod_ZF_set_ZF_set_prod_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'fun_app$ba' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_prod',X0_'Nat_ZF_ZF_prod_fun',X0_'Nat'] : 4.50/1.87 ( iProver_Flat_'fun_app$ba'(X0_'ZF_ZF_prod',X0_'Nat_ZF_ZF_prod_fun',X0_'Nat') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_prod'=iProver_Domain_'ZF_ZF_prod'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'relImage$' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set_ZF_set_prod_set',X0_'ZF_ZF_prod_set',X0_'ZF_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_'relImage$'(X0_'ZF_set_ZF_set_prod_set',X0_'ZF_ZF_prod_set',X0_'ZF_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set_ZF_set_prod_set'=iProver_Domain_'ZF_set_ZF_set_prod_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'image$be' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_prod_set_set',X0_'Nat_ZF_prod_ZF_ZF_prod_set_fun',X0_'Nat_ZF_prod_set'] : 4.50/1.87 ( iProver_Flat_'image$be'(X0_'ZF_ZF_prod_set_set',X0_'Nat_ZF_prod_ZF_ZF_prod_set_fun',X0_'Nat_ZF_prod_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_prod_set_set'=iProver_Domain_'ZF_ZF_prod_set_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'homFtor$a' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A'] : 4.50/1.87 ( iProver_Flat_'homFtor$a'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'sigma$l' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat_ZF_set_prod_set',X0_'Nat_set',X0_'Nat_ZF_set_set_fun'] : 4.50/1.87 ( iProver_Flat_'sigma$l'(X0_'Nat_ZF_set_prod_set',X0_'Nat_set',X0_'Nat_ZF_set_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat_ZF_set_prod_set'=iProver_Domain_'Nat_ZF_set_prod_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'fun_app$bj' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'ZF_set_a_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_'fun_app$bj'(X0_'A',X0_'ZF_set_a_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'uzx$' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_set_fun',X0_'ZF_ZF_bool_fun_fun'] : 4.50/1.87 ( iProver_Flat_'uzx$'(X0_'ZF_ZF_set_fun',X0_'ZF_ZF_bool_fun_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'relInvImage$' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_prod_set',X0_'ZF_set',X0_'ZF_set_ZF_set_prod_set',X0_'ZF_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_'relInvImage$'(X0_'ZF_ZF_prod_set',X0_'ZF_set',X0_'ZF_set_ZF_set_prod_set',X0_'ZF_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'case_prod$i' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun',X0_'Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun'] : 4.50/1.87 ( iProver_Flat_'case_prod$i'(X0_'Nat_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun',X0_'Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun'=iProver_Domain_'Nat_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'vav$' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_fun_ZF_set_fun',X0_'ZF_ZF_ZF_set_fun_fun'] : 4.50/1.87 ( iProver_Flat_'vav$'(X0_'ZF_ZF_fun_ZF_set_fun',X0_'ZF_ZF_ZF_set_fun_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_fun_ZF_set_fun'=iProver_Domain_'ZF_ZF_fun_ZF_set_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'fun_app$ch' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B_a_fun',X0_'B_a_fun_b_a_fun_fun',X1_'B_a_fun'] : 4.50/1.87 ( iProver_Flat_'fun_app$ch'(X0_'B_a_fun',X0_'B_a_fun_b_a_fun_fun',X1_'B_a_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B_a_fun'=iProver_Domain_'B_a_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'image$bl' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_bool_fun_set',X0_'ZF_ZF_bool_fun_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_'image$bl'(X0_'ZF_bool_fun_set',X0_'ZF_ZF_bool_fun_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_bool_fun_set'=iProver_Domain_'ZF_bool_fun_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'case_prod$o' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat_nat_prod_ZF_ZF_prod_set_fun',X0_'Nat_nat_ZF_ZF_prod_set_fun_fun'] : 4.50/1.87 ( iProver_Flat_'case_prod$o'(X0_'Nat_nat_prod_ZF_ZF_prod_set_fun',X0_'Nat_nat_ZF_ZF_prod_set_fun_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat_nat_prod_ZF_ZF_prod_set_fun'=iProver_Domain_'Nat_nat_prod_ZF_ZF_prod_set_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'fun_app$da' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set_set',X0_'ZF_set_set_set_ZF_set_set_fun',X0_'ZF_set_set_set'] : 4.50/1.87 ( iProver_Flat_'fun_app$da'(X0_'ZF_set_set',X0_'ZF_set_set_set_ZF_set_set_fun',X0_'ZF_set_set_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set_set'=iProver_Domain_'ZF_set_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'uul$' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_prod_ZF_fun'] : 4.50/1.87 ( iProver_Flat_'uul$'(X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_prod_ZF_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'sigma$d' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat_nat_prod_set',X0_'Nat_set',X0_'Nat_nat_set_fun'] : 4.50/1.87 ( iProver_Flat_'sigma$d'(X0_'Nat_nat_prod_set',X0_'Nat_set',X0_'Nat_nat_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat_nat_prod_set'=iProver_Domain_'Nat_nat_prod_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'image$s' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set_set',X0_'ZF_ZF_prod_ZF_set_fun',X0_'ZF_ZF_prod_set'] : 4.50/1.87 ( iProver_Flat_'image$s'(X0_'ZF_set_set',X0_'ZF_ZF_prod_ZF_set_fun',X0_'ZF_ZF_prod_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set_set'=iProver_Domain_'ZF_set_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'image$v' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat_set',X0_'Nat_nat_fun',X1_'Nat_set'] : 4.50/1.87 ( iProver_Flat_'image$v'(X0_'Nat_set',X0_'Nat_nat_fun',X1_'Nat_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat_set'=iProver_Domain_'Nat_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'uvx$' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_bool_fun',X0_'A_ZF_fun',X0_'A_set',X1_'ZF_bool_fun'] : 4.50/1.87 ( iProver_Flat_'uvx$'(X0_'ZF_bool_fun',X0_'A_ZF_fun',X0_'A_set',X1_'ZF_bool_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'homSet$' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A'] : 4.50/1.87 ( iProver_Flat_'homSet$'(X0_'A_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A_ZF_fun'=iProver_Domain_'A_ZF_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'image$bm' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_bool_fun_set',X0_'Nat_ZF_bool_fun_fun',X0_'Nat_set'] : 4.50/1.87 ( iProver_Flat_'image$bm'(X0_'ZF_bool_fun_set',X0_'Nat_ZF_bool_fun_fun',X0_'Nat_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_bool_fun_set'=iProver_Domain_'ZF_bool_fun_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'fun_app$cv' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A_set',X0_'ZF_a_set_fun',X0_'ZF'] : 4.50/1.87 ( iProver_Flat_'fun_app$cv'(X0_'A_set',X0_'ZF_a_set_fun',X0_'ZF') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A_set'=iProver_Domain_'A_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'uzl$' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_set_fun',X0_'ZF_ZF_fun',X1_'ZF_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_'uzl$'(X0_'ZF_ZF_set_fun',X0_'ZF_ZF_fun',X1_'ZF_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'pair$b' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_set_prod',X0_'ZF',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_'pair$b'(X0_'ZF_ZF_set_prod',X0_'ZF',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_set_prod'=iProver_Domain_'ZF_ZF_set_prod'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'mor_update$' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_unit_Category_ext',X0_'ZF_set_ZF_set_fun',X1_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_'mor_update$'(X0_'ZF_ZF_unit_Category_ext',X0_'ZF_set_ZF_set_fun',X1_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'image$bo' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set_set',X0_'Nat_ZF_fun_ZF_set_fun',X0_'Nat_ZF_fun_set'] : 4.50/1.87 ( iProver_Flat_'image$bo'(X0_'ZF_set_set',X0_'Nat_ZF_fun_ZF_set_fun',X0_'Nat_ZF_fun_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set_set'=iProver_Domain_'ZF_set_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'image$ay' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set_set',X0_'Nat_set_ZF_set_fun',X0_'Nat_set_set'] : 4.50/1.87 ( iProver_Flat_'image$ay'(X0_'ZF_set_set',X0_'Nat_set_ZF_set_fun',X0_'Nat_set_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set_set'=iProver_Domain_'ZF_set_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'top$' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat_set'] : 4.50/1.87 ( iProver_Flat_'top$'(X0_'Nat_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat_set'=iProver_Domain_'Nat_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'image$bf' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_prod_set_set',X0_'Nat_nat_prod_ZF_ZF_prod_set_fun',X0_'Nat_nat_prod_set'] : 4.50/1.87 ( iProver_Flat_'image$bf'(X0_'ZF_ZF_prod_set_set',X0_'Nat_nat_prod_ZF_ZF_prod_set_fun',X0_'Nat_nat_prod_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_prod_set_set'=iProver_Domain_'ZF_ZF_prod_set_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'sigma$i' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_prod_nat_prod_set',X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_nat_set_fun'] : 4.50/1.87 ( iProver_Flat_'sigma$i'(X0_'ZF_ZF_prod_nat_prod_set',X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_nat_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_prod_nat_prod_set'=iProver_Domain_'ZF_ZF_prod_nat_prod_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'image$l' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B_set_b_set_fun',X0_'B_b_fun'] : 4.50/1.87 ( iProver_Flat_'image$l'(X0_'B_set_b_set_fun',X0_'B_b_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B_set_b_set_fun'=iProver_Domain_'B_set_b_set_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'uxt$' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_set_set_fun',X0_'ZF_ZF_set_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_'uxt$'(X0_'ZF_ZF_set_set_fun',X0_'ZF_ZF_set_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_set_set_fun'=iProver_Domain_'ZF_ZF_set_set_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'uxc$' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_'uxc$'(X0_'ZF_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'image$at' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat_set_set_ZF_set_set_set_fun',X0_'Nat_set_ZF_set_set_fun'] : 4.50/1.87 ( iProver_Flat_'image$at'(X0_'Nat_set_set_ZF_set_set_set_fun',X0_'Nat_set_ZF_set_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat_set_set_ZF_set_set_set_fun'=iProver_Domain_'Nat_set_set_ZF_set_set_set_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'vaz$' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_nat_fun_ZF_set_fun',X0_'Nat_ZF_ZF_set_fun_fun'] : 4.50/1.87 ( iProver_Flat_'vaz$'(X0_'ZF_nat_fun_ZF_set_fun',X0_'Nat_ZF_ZF_set_fun_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_nat_fun_ZF_set_fun'=iProver_Domain_'ZF_nat_fun_ZF_set_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'uvk$' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat_ZF_set_fun',X1_'Nat_ZF_set_fun',X0_'Nat_nat_fun'] : 4.50/1.87 ( iProver_Flat_'uvk$'(X0_'Nat_ZF_set_fun',X1_'Nat_ZF_set_fun',X0_'Nat_nat_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'fun_app$q' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_bool_fun',X0_'ZF_ZF_bool_fun_fun',X0_'ZF'] : 4.50/1.87 ( iProver_Flat_'fun_app$q'(X0_'ZF_bool_fun',X0_'ZF_ZF_bool_fun_fun',X0_'ZF') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'uwc$' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_bool_fun',X0_'ZF_ZF_fun',X0_'ZF_set',X1_'ZF_bool_fun'] : 4.50/1.87 ( iProver_Flat_'uwc$'(X0_'ZF_bool_fun',X0_'ZF_ZF_fun',X0_'ZF_set',X1_'ZF_bool_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'fun_app$bl' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'A_b_fun',X0_'A'] : 4.50/1.87 ( iProver_Flat_'fun_app$bl'(X0_'B',X0_'A_b_fun',X0_'A') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'uys$' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat_ZF_set_fun',X0_'ZF_ZF_set_fun',X1_'Nat_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_'uys$'(X0_'Nat_ZF_set_fun',X0_'ZF_ZF_set_fun',X1_'Nat_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat_ZF_set_fun'=iProver_Domain_'Nat_ZF_set_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'gr$b' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat_ZF_set_prod_set',X0_'Nat_set',X0_'Nat_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_'gr$b'(X0_'Nat_ZF_set_prod_set',X0_'Nat_set',X0_'Nat_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat_ZF_set_prod_set'=iProver_Domain_'Nat_ZF_set_prod_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'less_eq$c' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set_bool_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_'less_eq$c'(X0_'ZF_set_bool_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set_bool_fun'=iProver_Domain_'ZF_set_bool_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'explode$' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_'explode$'(X0_'ZF_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'isZFfun$' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_bool_fun'] : 4.50/1.87 ( iProver_Flat_'isZFfun$'(X0_'ZF_bool_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'fun_app$c' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_prod_set',X0_'ZF_set_ZF_ZF_prod_set_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_'fun_app$c'(X0_'ZF_ZF_prod_set',X0_'ZF_set_ZF_ZF_prod_set_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'uyj$' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat_ZF_set_set_fun',X0_'ZF_set_set'] : 4.50/1.87 ( iProver_Flat_'uyj$'(X0_'Nat_ZF_set_set_fun',X0_'ZF_set_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat_ZF_set_set_fun'=iProver_Domain_'Nat_ZF_set_set_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'vay$' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_set_fun',X0_'Nat_ZF_ZF_set_fun_fun'] : 4.50/1.87 ( iProver_Flat_'vay$'(X0_'ZF_ZF_set_fun',X0_'Nat_ZF_ZF_set_fun_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'cartProd$' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_ZF_fun_fun'] : 4.50/1.87 ( iProver_Flat_'cartProd$'(X0_'ZF_ZF_ZF_fun_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'image$au' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set_set_ZF_set_set_set_fun',X0_'ZF_set_ZF_set_set_fun'] : 4.50/1.87 ( iProver_Flat_'image$au'(X0_'ZF_set_set_ZF_set_set_set_fun',X0_'ZF_set_ZF_set_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set_set_ZF_set_set_set_fun'=iProver_Domain_'ZF_set_set_ZF_set_set_set_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'pair$c' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set_ZF_prod',X0_'ZF_set',X0_'ZF'] : 4.50/1.87 ( iProver_Flat_'pair$c'(X0_'ZF_set_ZF_prod',X0_'ZF_set',X0_'ZF') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set_ZF_prod'=iProver_Domain_'ZF_set_ZF_prod'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'fun_app$e' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_ZF_prod_fun',X0_'ZF_ZF_ZF_ZF_prod_fun_fun',X0_'ZF'] : 4.50/1.87 ( iProver_Flat_'fun_app$e'(X0_'ZF_ZF_ZF_prod_fun',X0_'ZF_ZF_ZF_ZF_prod_fun_fun',X0_'ZF') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_ZF_prod_fun'=iProver_Domain_'ZF_ZF_ZF_prod_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'uym$' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_fun_ZF_ZF_fun_fun'] : 4.50/1.87 ( iProver_Flat_'uym$'(X0_'ZF_ZF_fun_ZF_ZF_fun_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_fun_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_fun_ZF_ZF_fun_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'image$u' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat_set',X0_'ZF_nat_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_'image$u'(X0_'Nat_set',X0_'ZF_nat_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat_set'=iProver_Domain_'Nat_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'fun_app$bz' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_set_ZF_set_prod_fun',X0_'ZF_ZF_ZF_set_ZF_set_prod_fun_fun',X0_'ZF'] : 4.50/1.87 ( iProver_Flat_'fun_app$bz'(X0_'ZF_ZF_set_ZF_set_prod_fun',X0_'ZF_ZF_ZF_set_ZF_set_prod_fun_fun',X0_'ZF') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_set_ZF_set_prod_fun'=iProver_Domain_'ZF_ZF_set_ZF_set_prod_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'uuf$' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_bool_fun_fun'] : 4.50/1.87 ( iProver_Flat_'uuf$'(X0_'ZF_ZF_bool_fun_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_bool_fun_fun'=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'dom$a' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_'dom$a'(X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'fun_app$r' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set',X0_'Nat_ZF_set_fun',X0_'Nat'] : 4.50/1.87 ( iProver_Flat_'fun_app$r'(X0_'ZF_set',X0_'Nat_ZF_set_fun',X0_'Nat') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'fun_app$t' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set',X0_'Nat_nat_fun_ZF_set_fun',X0_'Nat_nat_fun'] : 4.50/1.87 ( iProver_Flat_'fun_app$t'(X0_'ZF_set',X0_'Nat_nat_fun_ZF_set_fun',X0_'Nat_nat_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'fun_app$i' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set_bool_fun',X0_'ZF_set_set_ZF_set_bool_fun_fun',X0_'ZF_set_set'] : 4.50/1.87 ( iProver_Flat_'fun_app$i'(X0_'ZF_set_bool_fun',X0_'ZF_set_set_ZF_set_bool_fun_fun',X0_'ZF_set_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set_bool_fun'=iProver_Domain_'ZF_set_bool_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'uup$' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B'] : 4.50/1.87 ( iProver_Flat_'uup$'(X0_'ZF_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'uwj$' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set_bool_fun',X0_'Nat_ZF_set_fun',X0_'Nat_set'] : 4.50/1.87 ( iProver_Flat_'uwj$'(X0_'ZF_set_bool_fun',X0_'Nat_ZF_set_fun',X0_'Nat_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set_bool_fun'=iProver_Domain_'ZF_set_bool_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'image$ba' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_prod_set_set',X0_'Nat_ZF_ZF_prod_set_fun',X0_'Nat_set'] : 4.50/1.87 ( iProver_Flat_'image$ba'(X0_'ZF_ZF_prod_set_set',X0_'Nat_ZF_ZF_prod_set_fun',X0_'Nat_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_prod_set_set'=iProver_Domain_'ZF_ZF_prod_set_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'image$bk' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_bool_fun_set',X0_'ZF_set_ZF_bool_fun_fun',X0_'ZF_set_set'] : 4.50/1.87 ( iProver_Flat_'image$bk'(X0_'ZF_bool_fun_set',X0_'ZF_set_ZF_bool_fun_fun',X0_'ZF_set_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_bool_fun_set'=iProver_Domain_'ZF_bool_fun_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'image$ao' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A_set_set',X0_'ZF_a_set_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_'image$ao'(X0_'A_set_set',X0_'ZF_a_set_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A_set_set'=iProver_Domain_'A_set_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'collect$a' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_bool_fun'] : 4.50/1.87 ( iProver_Flat_'collect$a'(X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_bool_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_'mor$' 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B_set',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_'mor$'(X0_'B_set',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK20 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X1_'B',X0_'B_b_set_fun',X0_'B_set'] : 4.50/1.87 ( iProver_Flat_sK20(X0_'B',X1_'B',X0_'B_b_set_fun',X0_'B_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK21 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun',X1_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK21(X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun',X1_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK22 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'B_set',X0_'Nat_set',X0_'B_ZF_set_fun',X0_'Nat_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK22(X0_'B',X0_'B_set',X0_'Nat_set',X0_'B_ZF_set_fun',X0_'Nat_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK23 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'B',X0_'A_b_set_fun',X0_'A_set'] : 4.50/1.87 ( iProver_Flat_sK23(X0_'A',X0_'B',X0_'A_b_set_fun',X0_'A_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK24 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK24(X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK25 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK25(X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK26 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'B_ZF_set_fun',X0_'B_set',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK26(X0_'B',X0_'B_ZF_set_fun',X0_'B_set',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK27 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat',X0_'Nat_ZF_set_fun',X0_'Nat_set',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK27(X0_'Nat',X0_'Nat_ZF_set_fun',X0_'Nat_set',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK28 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK28(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK29 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK29(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK30 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK30(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK31 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK31(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK32 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK32(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK33 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK33(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK34 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK34(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK35 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK35(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK36 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK36(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK37 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK37(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK38 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK38(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK39 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK39(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK40 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK40(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK41 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'B',X0_'ZF_b_fun'] : 4.50/1.87 ( iProver_Flat_sK41(X0_'ZF',X0_'B',X0_'ZF_b_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK42 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'A_set',X0_'A_ZF_set_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK42(X0_'A',X0_'A_set',X0_'A_ZF_set_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK43 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'A',X0_'ZF_a_set_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK43(X0_'ZF',X0_'A',X0_'ZF_a_set_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK44 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK44(X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK45 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun',X1_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK45(X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun',X1_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK46 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_bool_fun',X1_'ZF'] : 4.50/1.87 ( iProver_Flat_sK46(X0_'ZF',X0_'ZF_bool_fun',X1_'ZF') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK47 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'B_set',X0_'B_ZF_set_fun',X1_'B_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK47(X0_'B',X0_'B_set',X0_'B_ZF_set_fun',X1_'B_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK48 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_bool_fun',X1_'ZF'] : 4.50/1.87 ( iProver_Flat_sK48(X0_'ZF',X0_'ZF_bool_fun',X1_'ZF') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK49 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK49(X0_'ZF',X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK50 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_set_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK50(X0_'ZF',X0_'ZF_ZF_set_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK51 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat',X0_'ZF',X0_'Nat_ZF_set_fun',X0_'Nat_set'] : 4.50/1.87 ( iProver_Flat_sK51(X0_'Nat',X0_'ZF',X0_'Nat_ZF_set_fun',X0_'Nat_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK52 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_prod',X0_'ZF_ZF_prod_bool_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK52(X0_'ZF_ZF_prod',X0_'ZF_ZF_prod_bool_fun',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_prod'=iProver_Domain_'ZF_ZF_prod'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK53 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK53(X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK54 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat',X0_'Nat_set',X0_'Nat_ZF_set_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK54(X0_'Nat',X0_'Nat_set',X0_'Nat_ZF_set_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK55 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'B_set',X0_'B_ZF_set_fun',X1_'B_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK55(X0_'B',X0_'B_set',X0_'B_ZF_set_fun',X1_'B_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK56 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set',X1_'ZF_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK56(X0_'ZF_set',X1_'ZF_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK57 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set',X0_'ZF_set_ZF_set_fun',X0_'ZF_set_set',X1_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK57(X0_'ZF_set',X0_'ZF_set_ZF_set_fun',X0_'ZF_set_set',X1_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK58 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat',X0_'Nat_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK58(X0_'Nat',X0_'Nat_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK59 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'A',X0_'ZF_a_fun'] : 4.50/1.87 ( iProver_Flat_sK59(X0_'ZF',X0_'A',X0_'ZF_a_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK60 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X1_'B',X0_'B_b_set_fun',X0_'B_set'] : 4.50/1.87 ( iProver_Flat_sK60(X0_'B',X1_'B',X0_'B_b_set_fun',X0_'B_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK61 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_bool_fun',X0_'ZF_ZF_set_fun',X0_'ZF_set_set'] : 4.50/1.87 ( iProver_Flat_sK61(X0_'ZF',X0_'ZF_bool_fun',X0_'ZF_ZF_set_fun',X0_'ZF_set_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK62 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_fun',X1_'ZF'] : 4.50/1.87 ( iProver_Flat_sK62(X0_'ZF',X0_'ZF_ZF_fun',X1_'ZF') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK63 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_set',X0_'A',X0_'ZF_a_set_fun'] : 4.50/1.87 ( iProver_Flat_sK63(X0_'ZF',X0_'ZF_set',X0_'A',X0_'ZF_a_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK64 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat',X0_'Nat_set',X0_'A_set',X0_'Nat_ZF_set_fun',X0_'A_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK64(X0_'Nat',X0_'Nat_set',X0_'A_set',X0_'Nat_ZF_set_fun',X0_'A_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK65 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_bool_fun',X1_'ZF'] : 4.50/1.87 ( iProver_Flat_sK65(X0_'ZF',X0_'ZF_bool_fun',X1_'ZF') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK66 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'B_set',X0_'B_ZF_set_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK66(X0_'B',X0_'B_set',X0_'B_ZF_set_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK67 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat',X0_'Nat_bool_fun',X0_'Nat_ZF_set_fun',X0_'ZF_set_set'] : 4.50/1.87 ( iProver_Flat_sK67(X0_'Nat',X0_'Nat_bool_fun',X0_'Nat_ZF_set_fun',X0_'ZF_set_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK68 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_set_fun',X0_'ZF_set',X1_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK68(X0_'ZF',X0_'ZF_ZF_set_fun',X0_'ZF_set',X1_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK69 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X1_'ZF',X0_'ZF_ZF_set_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK69(X0_'ZF',X1_'ZF',X0_'ZF_ZF_set_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK70 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat',X0_'Nat_ZF_fun',X0_'ZF'] : 4.50/1.87 ( iProver_Flat_sK70(X0_'Nat',X0_'Nat_ZF_fun',X0_'ZF') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK71 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X1_'ZF',X0_'ZF_ZF_fun',X2_'ZF'] : 4.50/1.87 ( iProver_Flat_sK71(X0_'ZF',X1_'ZF',X0_'ZF_ZF_fun',X2_'ZF') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK72 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'ZF',X0_'A_ZF_set_fun',X0_'A_set'] : 4.50/1.87 ( iProver_Flat_sK72(X0_'A',X0_'ZF',X0_'A_ZF_set_fun',X0_'A_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK73 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat',X0_'Nat_set',X0_'Nat_ZF_set_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK73(X0_'Nat',X0_'Nat_set',X0_'Nat_ZF_set_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK74 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'ZF',X0_'A_ZF_set_fun',X0_'A_set'] : 4.50/1.87 ( iProver_Flat_sK74(X0_'A',X0_'ZF',X0_'A_ZF_set_fun',X0_'A_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK75 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK75(X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK76 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_bool_fun',X0_'ZF_ZF_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK76(X0_'ZF',X0_'ZF_bool_fun',X0_'ZF_ZF_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK77 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'B_set',X1_'B',X0_'B_b_set_fun'] : 4.50/1.87 ( iProver_Flat_sK77(X0_'B',X0_'B_set',X1_'B',X0_'B_b_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK78 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'A',X0_'ZF_a_set_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK78(X0_'ZF',X0_'A',X0_'ZF_a_set_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK79 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK79(X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK80 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'A',X0_'B_a_set_fun',X0_'B_set'] : 4.50/1.87 ( iProver_Flat_sK80(X0_'B',X0_'A',X0_'B_a_set_fun',X0_'B_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK81 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat',X0_'Nat_set',X0_'ZF',X0_'Nat_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK81(X0_'Nat',X0_'Nat_set',X0_'ZF',X0_'Nat_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK82 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X1_'ZF',X0_'ZF_ZF_fun',X1_'ZF_ZF_fun'] : 4.50/1.87 ( iProver_Flat_sK82(X0_'ZF',X1_'ZF',X0_'ZF_ZF_fun',X1_'ZF_ZF_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK83 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X1_'A',X0_'A_a_fun',X0_'A_set'] : 4.50/1.87 ( iProver_Flat_sK83(X0_'A',X1_'A',X0_'A_a_fun',X0_'A_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK84 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK84(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK85 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK85(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK86 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK86(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK87 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK87(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK88 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK88(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK89 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK89(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK90 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK90(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK91 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK91(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK92 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK92(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK93 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK93(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK94 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK94(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK95 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK95(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK96 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK96(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK97 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun'] : 4.50/1.87 ( iProver_Flat_sK97(X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK98 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'A_ZF_fun',X0_'A_set',X0_'ZF'] : 4.50/1.87 ( iProver_Flat_sK98(X0_'A',X0_'A_ZF_fun',X0_'A_set',X0_'ZF') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK99 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'B',X0_'ZF_b_set_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK99(X0_'ZF',X0_'B',X0_'ZF_b_set_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK100 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'B_set',X0_'B_bool_fun',X1_'B_bool_fun'] : 4.50/1.87 ( iProver_Flat_sK100(X0_'B',X0_'B_set',X0_'B_bool_fun',X1_'B_bool_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK101 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_set_fun',X0_'ZF_set',X1_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK101(X0_'ZF',X0_'ZF_ZF_set_fun',X0_'ZF_set',X1_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK102 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK102(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK103 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK103(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK104 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK104(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK105 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK105(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK106 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK106(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK107 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK107(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK108 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK108(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK109 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK109(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK110 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK110(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK111 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK111(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK112 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK112(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK113 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK113(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK114 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK114(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK115 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat',X0_'Nat_set',X1_'Nat_set',X0_'Nat_ZF_set_fun',X1_'Nat_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK115(X0_'Nat',X0_'Nat_set',X1_'Nat_set',X0_'Nat_ZF_set_fun',X1_'Nat_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK116 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK116(X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK117 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK117(X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK118 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK118(X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK119 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK119(X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK120 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK120(X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK121 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK121(X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK122 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'A_set',X0_'A_ZF_set_fun',X1_'A_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK122(X0_'A',X0_'A_set',X0_'A_ZF_set_fun',X1_'A_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK123 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_prod'] : 4.50/1.87 ( iProver_Flat_sK123(X0_'ZF',X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_prod') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK124 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_prod'] : 4.50/1.87 ( iProver_Flat_sK124(X0_'ZF',X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_prod') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK125 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_fun',X0_'ZF_set',X1_'ZF'] : 4.50/1.87 ( iProver_Flat_sK125(X0_'ZF',X0_'ZF_ZF_fun',X0_'ZF_set',X1_'ZF') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK126 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'B',X0_'A_b_set_fun',X0_'A_set'] : 4.50/1.87 ( iProver_Flat_sK126(X0_'A',X0_'B',X0_'A_b_set_fun',X0_'A_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK127 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat',X0_'Nat_set',X0_'Nat_ZF_set_fun',X1_'Nat_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK127(X0_'Nat',X0_'Nat_set',X0_'Nat_ZF_set_fun',X1_'Nat_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK128 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'B_set',X0_'A_set',X0_'B_ZF_set_fun',X0_'A_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK128(X0_'B',X0_'B_set',X0_'A_set',X0_'B_ZF_set_fun',X0_'A_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK129 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'A_set',X0_'Nat_set',X0_'A_ZF_set_fun',X0_'Nat_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK129(X0_'A',X0_'A_set',X0_'Nat_set',X0_'A_ZF_set_fun',X0_'Nat_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK130 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X1_'ZF',X0_'ZF_ZF_fun'] : 4.50/1.87 ( iProver_Flat_sK130(X0_'ZF',X1_'ZF',X0_'ZF_ZF_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK131 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK131(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK132 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK132(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK133 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK133(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK134 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK134(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK135 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK135(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK136 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK136(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK137 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK137(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK138 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK138(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK139 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK139(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK140 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK140(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK141 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK141(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK142 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK142(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK143 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK143(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK144 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'A',X0_'ZF_a_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK144(X0_'ZF',X0_'A',X0_'ZF_a_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK145 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat',X0_'B',X0_'Nat_b_fun'] : 4.50/1.87 ( iProver_Flat_sK145(X0_'Nat',X0_'B',X0_'Nat_b_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK146 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'B',X0_'ZF_b_set_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK146(X0_'ZF',X0_'B',X0_'ZF_b_set_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK147 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK147(X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK148 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat',X0_'Nat_set',X0_'B_set',X0_'Nat_ZF_set_fun',X0_'B_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK148(X0_'Nat',X0_'Nat_set',X0_'B_set',X0_'Nat_ZF_set_fun',X0_'B_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK149 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_bool_fun',X0_'ZF_b_fun',X0_'B_set'] : 4.50/1.87 ( iProver_Flat_sK149(X0_'ZF',X0_'ZF_bool_fun',X0_'ZF_b_fun',X0_'B_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK150 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'A',X0_'ZF_a_set_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK150(X0_'ZF',X0_'A',X0_'ZF_a_set_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK151 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat',X0_'Nat_set',X0_'ZF_set',X0_'Nat_ZF_set_fun',X0_'ZF_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK151(X0_'Nat',X0_'Nat_set',X0_'ZF_set',X0_'Nat_ZF_set_fun',X0_'ZF_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK152 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X1_'A',X0_'A_a_set_fun',X0_'A_set'] : 4.50/1.87 ( iProver_Flat_sK152(X0_'A',X1_'A',X0_'A_a_set_fun',X0_'A_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK153 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat',X0_'ZF_set',X0_'Nat_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK153(X0_'Nat',X0_'ZF_set',X0_'Nat_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK154 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK154(X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK155 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [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'] : 4.50/1.87 ( iProver_Flat_sK155(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') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK156 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'A_set',X1_'A_set',X0_'A_ZF_set_fun',X1_'A_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK156(X0_'A',X0_'A_set',X1_'A_set',X0_'A_ZF_set_fun',X1_'A_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK157 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_fun',X0_'ZF_bool_fun',X1_'ZF'] : 4.50/1.87 ( iProver_Flat_sK157(X0_'ZF',X0_'ZF_ZF_fun',X0_'ZF_bool_fun',X1_'ZF') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK158 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_set',X1_'ZF',X0_'ZF_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK158(X0_'ZF',X0_'ZF_set',X1_'ZF',X0_'ZF_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK159 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'B_set',X0_'ZF',X0_'B_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK159(X0_'B',X0_'B_set',X0_'ZF',X0_'B_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK160 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'ZF',X0_'A_ZF_fun',X0_'A_set'] : 4.50/1.87 ( iProver_Flat_sK160(X0_'A',X0_'ZF',X0_'A_ZF_fun',X0_'A_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK161 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK161(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK162 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK162(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK163 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK163(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK164 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK164(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK165 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat',X0_'Nat_set',X0_'Nat_ZF_set_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK165(X0_'Nat',X0_'Nat_set',X0_'Nat_ZF_set_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK166 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat',X0_'A',X0_'Nat_a_fun'] : 4.50/1.87 ( iProver_Flat_sK166(X0_'Nat',X0_'A',X0_'Nat_a_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK167 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext',X1_'ZF',X2_'ZF'] : 4.50/1.87 ( iProver_Flat_sK167(X0_'ZF',X0_'ZF_ZF_unit_Category_ext',X1_'ZF',X2_'ZF') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK168 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'ZF',X0_'B_ZF_set_fun',X0_'B_set'] : 4.50/1.87 ( iProver_Flat_sK168(X0_'B',X0_'ZF',X0_'B_ZF_set_fun',X0_'B_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK169 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'B',X0_'A_b_fun',X0_'A_set'] : 4.50/1.87 ( iProver_Flat_sK169(X0_'A',X0_'B',X0_'A_b_fun',X0_'A_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK170 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'A_set',X0_'ZF_set',X0_'A_ZF_set_fun',X0_'ZF_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK170(X0_'A',X0_'A_set',X0_'ZF_set',X0_'A_ZF_set_fun',X0_'ZF_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK171 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK171(X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK172 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A_set',X1_'A_set',X0_'A_set_a_set_fun',X1_'A_set_a_set_fun'] : 4.50/1.87 ( iProver_Flat_sK172(X0_'A_set',X1_'A_set',X0_'A_set_a_set_fun',X1_'A_set_a_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A_set'=iProver_Domain_'A_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK173 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat',X0_'Nat_set',X0_'Nat_ZF_set_fun',X1_'Nat_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK173(X0_'Nat',X0_'Nat_set',X0_'Nat_ZF_set_fun',X1_'Nat_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK174 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set',X0_'A',X0_'ZF_set_a_fun',X0_'ZF_set_set'] : 4.50/1.87 ( iProver_Flat_sK174(X0_'ZF_set',X0_'A',X0_'ZF_set_a_fun',X0_'ZF_set_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK175 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat',X0_'Nat_ZF_set_fun',X0_'Nat_set',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK175(X0_'Nat',X0_'Nat_ZF_set_fun',X0_'Nat_set',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK176 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'B_set',X0_'B_bool_fun'] : 4.50/1.87 ( iProver_Flat_sK176(X0_'B',X0_'B_set',X0_'B_bool_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK177 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat',X0_'ZF',X0_'Nat_ZF_set_fun',X0_'Nat_set'] : 4.50/1.87 ( iProver_Flat_sK177(X0_'Nat',X0_'ZF',X0_'Nat_ZF_set_fun',X0_'Nat_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK178 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat',X0_'ZF_nat_bool_fun_fun',X0_'ZF'] : 4.50/1.87 ( iProver_Flat_sK178(X0_'Nat',X0_'ZF_nat_bool_fun_fun',X0_'ZF') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK179 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set',X1_'ZF_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK179(X0_'ZF_set',X1_'ZF_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK180 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext',X1_'ZF'] : 4.50/1.87 ( iProver_Flat_sK180(X0_'ZF',X0_'ZF_ZF_unit_Category_ext',X1_'ZF') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK181 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK181(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK182 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK182(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK183 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK183(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK184 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK184(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK185 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_bool_fun',X1_'ZF_bool_fun'] : 4.50/1.87 ( iProver_Flat_sK185(X0_'ZF',X0_'ZF_bool_fun',X1_'ZF_bool_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK186 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_bool_fun',X1_'ZF'] : 4.50/1.87 ( iProver_Flat_sK186(X0_'ZF',X0_'ZF_bool_fun',X1_'ZF') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK187 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_prod',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_set',X0_'ZF'] : 4.50/1.87 ( iProver_Flat_sK187(X0_'ZF_ZF_prod',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_set',X0_'ZF') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_prod'=iProver_Domain_'ZF_ZF_prod'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK188 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'ZF',X0_'B_ZF_set_fun',X0_'B_set'] : 4.50/1.87 ( iProver_Flat_sK188(X0_'B',X0_'ZF',X0_'B_ZF_set_fun',X0_'B_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK189 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'ZF',X0_'A_ZF_set_fun',X0_'A_set'] : 4.50/1.87 ( iProver_Flat_sK189(X0_'A',X0_'ZF',X0_'A_ZF_set_fun',X0_'A_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK190 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun',X1_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK190(X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun',X1_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK191 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A_set',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK191(X0_'A_set',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A_set'=iProver_Domain_'A_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK192 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B_set',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK192(X0_'B_set',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK193 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B_a_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK193(X0_'B_a_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B_a_fun'=iProver_Domain_'B_a_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK194 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B_a_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK194(X0_'B_a_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B_a_fun'=iProver_Domain_'B_a_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK195 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A_b_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK195(X0_'A_b_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A_b_fun'=iProver_Domain_'A_b_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK196 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B_b_b_fun_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK196(X0_'B_b_b_fun_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B_b_b_fun_fun'=iProver_Domain_'B_b_b_fun_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK197 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B_c_LSCategory_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK197(X0_'B_c_LSCategory_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B_c_LSCategory_ext'=iProver_Domain_'B_c_LSCategory_ext'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK198 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'B_set',X0_'B_ZF_set_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK198(X0_'B',X0_'B_set',X0_'B_ZF_set_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK199 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun'] : 4.50/1.87 ( iProver_Flat_sK199(X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK200 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X1_'ZF',X2_'ZF'] : 4.50/1.87 ( iProver_Flat_sK200(X0_'ZF',X1_'ZF',X2_'ZF') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK201 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'A',X0_'B_a_set_fun',X0_'B_set'] : 4.50/1.87 ( iProver_Flat_sK201(X0_'B',X0_'A',X0_'B_a_set_fun',X0_'B_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK202 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'A_set',X0_'B_set',X0_'A_ZF_set_fun',X0_'B_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK202(X0_'A',X0_'A_set',X0_'B_set',X0_'A_ZF_set_fun',X0_'B_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK203 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK203(X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK204 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X1_'ZF',X0_'ZF_ZF_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK204(X0_'ZF',X1_'ZF',X0_'ZF_ZF_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK205 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_prod',X0_'ZF',X0_'ZF_ZF_prod_ZF_fun'] : 4.50/1.87 ( iProver_Flat_sK205(X0_'ZF_ZF_prod',X0_'ZF',X0_'ZF_ZF_prod_ZF_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_prod'=iProver_Domain_'ZF_ZF_prod'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK206 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set',X1_'ZF_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK206(X0_'ZF_set',X1_'ZF_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK207 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_bool_fun',X1_'ZF_set_bool_fun'] : 4.50/1.87 ( iProver_Flat_sK207(X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_bool_fun',X1_'ZF_set_bool_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK208 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B_a_fun',X1_'B_a_fun',X0_'B_a_fun_b_a_fun_fun',X1_'B_a_fun_b_a_fun_fun'] : 4.50/1.87 ( iProver_Flat_sK208(X0_'B_a_fun',X1_'B_a_fun',X0_'B_a_fun_b_a_fun_fun',X1_'B_a_fun_b_a_fun_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B_a_fun'=iProver_Domain_'B_a_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK209 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X1_'B',X0_'B_b_set_fun',X0_'B_set'] : 4.50/1.87 ( iProver_Flat_sK209(X0_'B',X1_'B',X0_'B_b_set_fun',X0_'B_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK210 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_bool_fun',X0_'ZF_a_fun',X0_'A_set'] : 4.50/1.87 ( iProver_Flat_sK210(X0_'ZF',X0_'ZF_bool_fun',X0_'ZF_a_fun',X0_'A_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK211 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_set',X0_'ZF_bool_fun'] : 4.50/1.87 ( iProver_Flat_sK211(X0_'ZF',X0_'ZF_set',X0_'ZF_bool_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK212 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_bool_fun',X1_'ZF_bool_fun'] : 4.50/1.87 ( iProver_Flat_sK212(X0_'ZF',X0_'ZF_bool_fun',X1_'ZF_bool_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK213 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_bool_fun',X1_'ZF'] : 4.50/1.87 ( iProver_Flat_sK213(X0_'ZF',X0_'ZF_bool_fun',X1_'ZF') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK214 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat',X0_'Nat_ZF_set_fun',X1_'Nat_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK214(X0_'Nat',X0_'Nat_ZF_set_fun',X1_'Nat_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK215 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun'] : 4.50/1.87 ( iProver_Flat_sK215(X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK216 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'A_set',X0_'A_ZF_set_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK216(X0_'A',X0_'A_set',X0_'A_ZF_set_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK217 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'A_set',X0_'B',X0_'A_b_set_fun'] : 4.50/1.87 ( iProver_Flat_sK217(X0_'A',X0_'A_set',X0_'B',X0_'A_b_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK218 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_prod',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF'] : 4.50/1.87 ( iProver_Flat_sK218(X0_'ZF_ZF_prod',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_prod'=iProver_Domain_'ZF_ZF_prod'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK219 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set',X0_'ZF_set_ZF_fun',X0_'ZF_set_set',X0_'ZF'] : 4.50/1.87 ( iProver_Flat_sK219(X0_'ZF_set',X0_'ZF_set_ZF_fun',X0_'ZF_set_set',X0_'ZF') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK220 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X1_'ZF',X0_'ZF_ZF_fun',X2_'ZF'] : 4.50/1.87 ( iProver_Flat_sK220(X0_'ZF',X1_'ZF',X0_'ZF_ZF_fun',X2_'ZF') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK221 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'A_set',X1_'A',X0_'A_a_set_fun'] : 4.50/1.87 ( iProver_Flat_sK221(X0_'A',X0_'A_set',X1_'A',X0_'A_a_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK222 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set',X1_'ZF_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK222(X0_'ZF_set',X1_'ZF_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK223 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_bool_fun_fun',X1_'ZF'] : 4.50/1.87 ( iProver_Flat_sK223(X0_'ZF',X0_'ZF_ZF_bool_fun_fun',X1_'ZF') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK224 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'B_set',X0_'B_ZF_set_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK224(X0_'B',X0_'B_set',X0_'B_ZF_set_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK225 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat',X0_'Nat_ZF_set_fun',X0_'Nat_bool_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK225(X0_'Nat',X0_'Nat_ZF_set_fun',X0_'Nat_bool_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK226 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'A_set',X0_'A_ZF_set_fun',X1_'A_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK226(X0_'A',X0_'A_set',X0_'A_ZF_set_fun',X1_'A_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK227 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'A_set',X0_'A_bool_fun'] : 4.50/1.87 ( iProver_Flat_sK227(X0_'A',X0_'A_set',X0_'A_bool_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK228 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B_set',X1_'B_set',X0_'B_set_b_set_fun',X1_'B_set_b_set_fun'] : 4.50/1.87 ( iProver_Flat_sK228(X0_'B_set',X1_'B_set',X0_'B_set_b_set_fun',X1_'B_set_b_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK229 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_set_fun',X0_'ZF_bool_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK229(X0_'ZF',X0_'ZF_ZF_set_fun',X0_'ZF_bool_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK230 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'B_set',X0_'A',X0_'B_a_set_fun'] : 4.50/1.87 ( iProver_Flat_sK230(X0_'B',X0_'B_set',X0_'A',X0_'B_a_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK231 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun'] : 4.50/1.87 ( iProver_Flat_sK231(X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK232 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B_b_prod'] : 4.50/1.87 ( iProver_Flat_sK232(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B_b_prod') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK233 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B_b_prod'] : 4.50/1.87 ( iProver_Flat_sK233(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B_b_prod') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK234 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun'] : 4.50/1.87 ( iProver_Flat_sK234(X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK235 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK235(X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun',X1_'ZF_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK236 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun'] : 4.50/1.87 ( iProver_Flat_sK236(X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK237 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A_set',X1_'A_set',X0_'A_set_a_set_fun',X1_'A_set_a_set_fun'] : 4.50/1.87 ( iProver_Flat_sK237(X0_'A_set',X1_'A_set',X0_'A_set_a_set_fun',X1_'A_set_a_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A_set'=iProver_Domain_'A_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK238 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_bool_fun'] : 4.50/1.87 ( iProver_Flat_sK238(X0_'ZF_set',X0_'ZF_set_set',X0_'ZF_set_bool_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK239 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_set',X0_'B',X0_'ZF_b_set_fun'] : 4.50/1.87 ( iProver_Flat_sK239(X0_'ZF',X0_'ZF_set',X0_'B',X0_'ZF_b_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK240 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'A',X0_'B_a_fun',X0_'B_set'] : 4.50/1.87 ( iProver_Flat_sK240(X0_'B',X0_'A',X0_'B_a_fun',X0_'B_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK241 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat',X0_'Nat_set',X0_'Nat_ZF_set_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK241(X0_'Nat',X0_'Nat_set',X0_'Nat_ZF_set_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK242 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set',X0_'Nat_set',X0_'Nat_ZF_set_fun',X1_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK242(X0_'ZF_set',X0_'Nat_set',X0_'Nat_ZF_set_fun',X1_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK243 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_bool_fun',X1_'ZF_bool_fun'] : 4.50/1.87 ( iProver_Flat_sK243(X0_'ZF',X0_'ZF_bool_fun',X1_'ZF_bool_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK244 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'B',X0_'ZF_b_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK244(X0_'ZF',X0_'B',X0_'ZF_b_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK245 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'A_set',X0_'A_ZF_set_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK245(X0_'A',X0_'A_set',X0_'A_ZF_set_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK246 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'A_ZF_set_fun',X0_'A_set',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK246(X0_'A',X0_'A_ZF_set_fun',X0_'A_set',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK247 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'B',X0_'A_b_set_fun',X0_'A_set'] : 4.50/1.87 ( iProver_Flat_sK247(X0_'A',X0_'B',X0_'A_b_set_fun',X0_'A_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK248 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK248(X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK249 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_set_fun',X0_'ZF_set',X1_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK249(X0_'ZF',X0_'ZF_ZF_set_fun',X0_'ZF_set',X1_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK250 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X1_'B',X0_'B_b_fun',X0_'B_set'] : 4.50/1.87 ( iProver_Flat_sK250(X0_'B',X1_'B',X0_'B_b_fun',X0_'B_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK251 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X1_'ZF',X0_'ZF_ZF_set_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK251(X0_'ZF',X1_'ZF',X0_'ZF_ZF_set_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK252 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'B_ZF_set_fun',X0_'B_set',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK252(X0_'B',X0_'B_ZF_set_fun',X0_'B_set',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK253 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'ZF',X0_'B_ZF_set_fun',X0_'B_set'] : 4.50/1.87 ( iProver_Flat_sK253(X0_'B',X0_'ZF',X0_'B_ZF_set_fun',X0_'B_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK254 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'B_set',X0_'B_ZF_set_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK254(X0_'B',X0_'B_set',X0_'B_ZF_set_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK255 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set',X0_'B_set',X0_'B_ZF_set_fun',X1_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK255(X0_'ZF_set',X0_'B_set',X0_'B_ZF_set_fun',X1_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK256 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [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'] : 4.50/1.87 ( iProver_Flat_sK256(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') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK257 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'B',X0_'ZF_b_set_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK257(X0_'ZF',X0_'B',X0_'ZF_b_set_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK258 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X1_'ZF',X0_'ZF_ZF_set_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK258(X0_'ZF',X1_'ZF',X0_'ZF_ZF_set_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK259 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X1_'A',X0_'A_a_set_fun',X0_'A_set'] : 4.50/1.87 ( iProver_Flat_sK259(X0_'A',X1_'A',X0_'A_a_set_fun',X0_'A_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK260 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_bool_fun',X1_'ZF'] : 4.50/1.87 ( iProver_Flat_sK260(X0_'ZF',X0_'ZF_bool_fun',X1_'ZF') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK261 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'B_ZF_fun',X0_'B_set',X0_'ZF'] : 4.50/1.87 ( iProver_Flat_sK261(X0_'B',X0_'B_ZF_fun',X0_'B_set',X0_'ZF') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK262 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B_set',X1_'B_set',X0_'B_set_b_set_fun',X1_'B_set_b_set_fun'] : 4.50/1.87 ( iProver_Flat_sK262(X0_'B_set',X1_'B_set',X0_'B_set_b_set_fun',X1_'B_set_b_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK263 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat',X0_'ZF',X0_'Nat_ZF_fun'] : 4.50/1.87 ( iProver_Flat_sK263(X0_'Nat',X0_'ZF',X0_'Nat_ZF_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK264 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK264(X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK265 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK265(X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK266 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK266(X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK267 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK267(X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK268 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK268(X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK269 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK269(X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK270 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Unit',X0_'ZF_ZF_unit_Category_ext'] : 4.50/1.87 ( iProver_Flat_sK270(X0_'Unit',X0_'ZF_ZF_unit_Category_ext') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Unit'=iProver_Domain_'Unit'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK271 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'A_set',X0_'A_bool_fun',X1_'A_bool_fun'] : 4.50/1.87 ( iProver_Flat_sK271(X0_'A',X0_'A_set',X0_'A_bool_fun',X1_'A_bool_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK272 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_set',X0_'ZF_bool_fun',X1_'ZF_bool_fun'] : 4.50/1.87 ( iProver_Flat_sK272(X0_'ZF',X0_'ZF_set',X0_'ZF_bool_fun',X1_'ZF_bool_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK273 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'A_ZF_set_fun',X0_'A_set',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK273(X0_'A',X0_'A_ZF_set_fun',X0_'A_set',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK274 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat',X0_'Nat_ZF_set_fun',X0_'Nat_set',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK274(X0_'Nat',X0_'Nat_ZF_set_fun',X0_'Nat_set',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK275 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B_a_fun',X1_'B_a_fun',X0_'B_a_fun_b_a_fun_fun',X1_'B_a_fun_b_a_fun_fun'] : 4.50/1.87 ( iProver_Flat_sK275(X0_'B_a_fun',X1_'B_a_fun',X0_'B_a_fun_b_a_fun_fun',X1_'B_a_fun_b_a_fun_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B_a_fun'=iProver_Domain_'B_a_fun'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK276 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat',X0_'Nat_ZF_set_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK276(X0_'Nat',X0_'Nat_ZF_set_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK277 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X1_'A',X0_'A_a_set_fun',X0_'A_set'] : 4.50/1.87 ( iProver_Flat_sK277(X0_'A',X1_'A',X0_'A_a_set_fun',X0_'A_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK278 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'ZF',X0_'B_ZF_fun',X0_'B_set'] : 4.50/1.87 ( iProver_Flat_sK278(X0_'B',X0_'ZF',X0_'B_ZF_fun',X0_'B_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK279 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun',X1_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK279(X0_'ZF',X0_'ZF_set',X0_'ZF_ZF_set_fun',X1_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK280 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set',X1_'ZF_set',X0_'ZF_ZF_set_fun',X2_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK280(X0_'ZF_set',X1_'ZF_set',X0_'ZF_ZF_set_fun',X2_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK281 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set',X0_'ZF_set_ZF_set_fun',X0_'ZF_set_set',X1_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK281(X0_'ZF_set',X0_'ZF_set_ZF_set_fun',X0_'ZF_set_set',X1_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK282 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'B',X0_'A',X0_'B_a_set_fun',X0_'B_set'] : 4.50/1.87 ( iProver_Flat_sK282(X0_'B',X0_'A',X0_'B_a_set_fun',X0_'B_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'B'=iProver_Domain_'B'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK283 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'A_set',X0_'ZF',X0_'A_ZF_set_fun'] : 4.50/1.87 ( iProver_Flat_sK283(X0_'A',X0_'A_set',X0_'ZF',X0_'A_ZF_set_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK284 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_bool_fun',X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_prod'] : 4.50/1.87 ( iProver_Flat_sK284(X0_'ZF',X0_'ZF_bool_fun',X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_prod') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK285 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_bool_fun',X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_prod'] : 4.50/1.87 ( iProver_Flat_sK285(X0_'ZF',X0_'ZF_bool_fun',X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_prod') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK286 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'A',X0_'A_set',X0_'A_ZF_set_fun',X0_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK286(X0_'A',X0_'A_set',X0_'A_ZF_set_fun',X0_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'A'=iProver_Domain_'A'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK287 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_set',X0_'A_set',X0_'A_ZF_set_fun',X1_'ZF_set'] : 4.50/1.87 ( iProver_Flat_sK287(X0_'ZF_set',X0_'A_set',X0_'A_ZF_set_fun',X1_'ZF_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK288 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_prod_ZF_fun'] : 4.50/1.87 ( iProver_Flat_sK288(X0_'ZF',X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_prod_ZF_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK289 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF',X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_prod_ZF_fun'] : 4.50/1.87 ( iProver_Flat_sK289(X0_'ZF',X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_prod_ZF_fun') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK290 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'ZF_ZF_prod',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_bool_fun',X0_'ZF'] : 4.50/1.87 ( iProver_Flat_sK290(X0_'ZF_ZF_prod',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_bool_fun',X0_'ZF') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'ZF_ZF_prod'=iProver_Domain_'ZF_ZF_prod'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 4.50/1.87 %------ Positive definition of iProver_Flat_sK291 4.50/1.87 fof(lit_def,axiom, 4.50/1.87 (! [X0_'Nat',X0_'ZF',X0_'Nat_ZF_set_fun',X0_'Nat_set'] : 4.50/1.87 ( iProver_Flat_sK291(X0_'Nat',X0_'ZF',X0_'Nat_ZF_set_fun',X0_'Nat_set') <=> 4.50/1.87 ( 4.50/1.87 ( 4.50/1.87 ( X0_'Nat'=iProver_Domain_'Nat'_1 ) 4.50/1.87 ) 4.50/1.87 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ) 4.50/1.87 ). 4.50/1.87 % SZS output end Model for theBenchmark.p 4.50/1.87 4.50/1.91 EOF