%------------------------------------------------------------------------------ % File : iProver-SAT---3.9.4 % Problem : ITP303_10 : TPTP v9.3.1. Released v8.2.0. % Transfm : none % Format : tptp:raw % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT % Computer : n011.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Fri Sep 25 01:51:09 PM UTC 2026 % Result : Satisfiable 3.38s 1.27s % Output : Model 3.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : ITP303_10 : TPTP v9.3.1. Released v8.2.0. % 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT % 0.09/0.56 % Computer : n011.cluster.edu % 0.09/0.56 % Model : x86_64 x86_64 % 0.09/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.56 % Memory : 8046.5625MB % 0.09/0.56 % OS : Linux 6.8.0-71-generic % 0.09/0.56 % CPULimit : 300 % 0.09/0.56 % WCLimit : 300 % 0.09/0.56 % DateTime : Wed Sep 23 18:21:27 UTC 2026 % 0.09/0.56 % CPUTime : % 0.09/0.56 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT % 0.09/0.59 Running model finding % 0.09/0.59 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fnt_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.09/0.60 % 0.09/0.60 % ======== iProver multi-core TPTP/SMT ========= % 0.09/0.60 % 0.09/0.60 % Detected problem language: tptp % 0.09/0.62 % Proving... % 3.38/1.27 % SZS status Started for theBenchmark.p % 3.38/1.27 % SZS status Satisfiable for theBenchmark.p % 3.38/1.27 % 3.38/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------% % 3.38/1.27 % 3.38/1.27 ------ iProver source info % 3.38/1.27 % 3.38/1.27 git: date: 2026-07-19 20:42:38 +0200 % 3.38/1.27 git: sha1: 804e7d636a263075307957e923b7a22a4035de61 % 3.38/1.27 git: non_committed_changes: false % 3.38/1.27 % 3.38/1.27 ------ Parsing... % 3.38/1.27 ------ Clausification by vclausify_rel & Parsing by iProver... % 3.38/1.27 ------ Proving... % 3.38/1.27 ------ Problem Properties % 3.38/1.27 % 3.38/1.27 % 3.38/1.27 clauses 1048 % 3.38/1.27 conjectures 0 % 3.38/1.27 EPR 100 % 3.38/1.27 Horn 885 % 3.38/1.27 unary 104 % 3.38/1.27 binary 527 % 3.38/1.27 lits 3017 % 3.38/1.27 lits eq 763 % 3.38/1.27 fd_pure 0 % 3.38/1.27 fd_pseudo 0 % 3.38/1.27 fd_cond 0 % 3.38/1.27 fd_pseudo_cond 71 % 3.38/1.27 AC symbols 0 % 3.38/1.27 % 3.38/1.27 ------ Input Options Time Limit: Unbounded % 3.38/1.27 % 3.38/1.27 % 3.38/1.27 ------ Finite Models: % 3.38/1.27 % 3.38/1.27 ------ lit_activity_flag true % 3.38/1.27 % 3.38/1.27 % 3.38/1.27 ------ Trying domains of size >= : 1 % 3.38/1.27 ------ % 3.38/1.27 Current options: % 3.38/1.27 ------ % 3.38/1.27 % 3.38/1.27 ------ Input Options % 3.38/1.27 % 3.38/1.27 --out_options all % 3.38/1.27 --tptp_safe_out true % 3.38/1.27 --problem_path "" % 3.38/1.27 --include_path "" % 3.38/1.27 --clausifier res/vclausify_rel % 3.38/1.27 --clausifier_options --mode tclausify --show_fool true -t 101.66 -updr off % 3.38/1.27 --stdin false % 3.38/1.27 --proof_out true % 3.38/1.27 --proof_dot_file "" % 3.38/1.27 --proof_reduce_dot [] % 3.38/1.27 --suppress_sat_res false % 3.38/1.27 --suppress_unsat_res true % 3.38/1.27 --stats_out none % 3.38/1.27 --stats_mem false % 3.38/1.27 --theory_stats_out false % 3.38/1.27 % 3.38/1.27 ------ General Options % 3.38/1.27 % 3.38/1.27 --fof false % 3.38/1.27 --time_out_real 304.98 % 3.38/1.27 --time_out_virtual -1. % 3.38/1.27 --rnd_seed 13 % 3.38/1.27 --symbol_type_check false % 3.38/1.27 --clausify_out false % 3.38/1.27 --sig_cnt_out false % 3.38/1.27 --trig_cnt_out false % 3.38/1.27 --trig_cnt_out_tolerance 1. % 3.38/1.27 --trig_cnt_out_sk_spl false % 3.38/1.27 --abstr_cl_out false % 3.38/1.27 % 3.38/1.27 ------ Interactive Mode % 3.38/1.27 % 3.38/1.27 --interactive_mode false % 3.38/1.27 --external_ip_address "" % 3.38/1.27 --external_port 0 % 3.38/1.27 % 3.38/1.27 ------ Global Options % 3.38/1.27 % 3.38/1.27 --schedule none % 3.38/1.27 --add_important_lit false % 3.38/1.27 --prop_solver_per_cl 500 % 3.38/1.27 --subs_bck_mult 8 % 3.38/1.27 --min_unsat_core false % 3.38/1.27 --soft_assumptions false % 3.38/1.27 --soft_lemma_size 3 % 3.38/1.27 --prop_impl_unit_size 0 % 3.38/1.27 --prop_impl_unit [] % 3.38/1.27 --share_sel_clauses true % 3.38/1.27 --reset_solvers false % 3.38/1.27 --bc_imp_inh [conj_cone] % 3.38/1.27 --conj_cone_tolerance 3. % 3.38/1.27 --extra_neg_conj none % 3.38/1.27 --large_theory_mode true % 3.38/1.27 --prolific_symb_bound 200 % 3.38/1.27 --lt_threshold 2000 % 3.38/1.27 --clause_weak_htbl true % 3.38/1.27 --gc_record_bc_elim false % 3.38/1.27 % 3.38/1.27 ------ Preprocessing Options % 3.38/1.27 % 3.38/1.27 --preprocessing_flag false % 3.38/1.27 --time_out_prep_mult 0.1 % 3.38/1.27 --splitting_mode input % 3.38/1.27 --splitting_grd true % 3.38/1.27 --splitting_cvd false % 3.38/1.27 --splitting_cvd_svl false % 3.38/1.27 --splitting_nvd 32 % 3.38/1.27 --sub_typing false % 3.38/1.27 --prep_eq_flat_conj false % 3.38/1.27 --prep_ineq_split false % 3.38/1.27 --prep_eq_flat_all_gr false % 3.38/1.27 --prep_gs_sim true % 3.38/1.27 --prep_unflatten true % 3.38/1.27 --prep_res_sim true % 3.38/1.27 --prep_sup_sim_all true % 3.38/1.27 --prep_sup_sim_sup false % 3.38/1.27 --prep_upred true % 3.38/1.27 --prep_well_definedness true % 3.38/1.27 --prep_sem_filter exhaustive % 3.38/1.27 --prep_sem_filter_out false % 3.38/1.27 --pred_elim true % 3.38/1.27 --res_sim_input true % 3.38/1.27 --eq_ax_congr_red true % 3.38/1.27 --pure_diseq_elim true % 3.38/1.27 --brand_transform false % 3.38/1.27 --non_eq_to_eq false % 3.38/1.27 --prep_eq_proxy false % 3.38/1.27 --prep_def_merge true % 3.38/1.27 --prep_def_merge_prop_impl false % 3.38/1.27 --prep_def_merge_mbd true % 3.38/1.27 --prep_def_merge_tr_red false % 3.38/1.27 --prep_def_merge_tr_cl false % 3.38/1.27 --smt_preprocessing false % 3.38/1.27 --smt_ac_axioms fast % 3.38/1.27 --preprocessed_out false % 3.38/1.27 --preprocessed_stats false % 3.38/1.27 % 3.38/1.27 ------ Abstraction refinement Options % 3.38/1.27 % 3.38/1.27 --abstr_ref [] % 3.38/1.27 --abstr_ref_prep false % 3.38/1.27 --abstr_ref_until_sat false % 3.38/1.27 --abstr_ref_sig_restrict funpre % 3.38/1.27 --abstr_ref_af_restrict_to_split_sk false % 3.38/1.27 --abstr_ref_under [] % 3.38/1.27 % 3.38/1.27 ------ SAT Options % 3.38/1.27 % 3.38/1.27 --sat_mode true % 3.38/1.27 --sat_fm_restart_options "" % 3.38/1.27 --sat_gr_def false % 3.38/1.27 --sat_epr_types false % 3.38/1.27 --sat_non_cyclic_types false % 3.38/1.27 --sat_finite_models true % 3.38/1.27 --sat_fm_lemmas false % 3.38/1.27 --sat_fm_prep false % 3.38/1.27 --sat_fm_uc_incr false % 3.38/1.27 --sat_out_model pos % 3.38/1.27 --sat_out_clauses false % 3.38/1.27 % 3.38/1.27 ------ QBF Options % 3.38/1.27 % 3.38/1.27 --qbf_mode false % 3.38/1.27 --qbf_elim_univ false % 3.38/1.27 --qbf_dom_inst none % 3.38/1.27 --qbf_dom_pre_inst false % 3.38/1.27 --qbf_sk_in false % 3.38/1.27 --qbf_pred_elim true % 3.38/1.27 --qbf_split 512 % 3.38/1.27 % 3.38/1.27 ------ BMC1 Options % 3.38/1.27 % 3.38/1.27 --bmc1_incremental false % 3.38/1.27 --bmc1_axioms reachable_all % 3.38/1.27 --bmc1_min_bound 0 % 3.38/1.27 --bmc1_max_bound -1 % 3.38/1.27 --bmc1_max_bound_default -1 % 3.38/1.27 --bmc1_symbol_reachability true % 3.38/1.27 --bmc1_property_lemmas false % 3.38/1.27 --bmc1_k_induction false % 3.38/1.27 --bmc1_non_equiv_states false % 3.38/1.27 --bmc1_deadlock false % 3.38/1.27 --bmc1_ucm false % 3.38/1.27 --bmc1_add_unsat_core none % 3.38/1.27 --bmc1_unsat_core_children false % 3.38/1.27 --bmc1_unsat_core_extrapolate_axioms false % 3.38/1.27 --bmc1_out_stat full % 3.38/1.27 --bmc1_ground_init false % 3.38/1.27 --bmc1_pre_inst_next_state false % 3.38/1.27 --bmc1_pre_inst_state false % 3.38/1.27 --bmc1_pre_inst_reach_state false % 3.38/1.27 --bmc1_out_unsat_core false % 3.38/1.27 --bmc1_aig_witness_out false % 3.38/1.27 --bmc1_verbose false % 3.38/1.27 --bmc1_dump_clauses_tptp false % 3.38/1.27 --bmc1_dump_unsat_core_tptp false % 3.38/1.27 --bmc1_dump_file - % 3.38/1.27 --bmc1_ucm_expand_uc_limit 128 % 3.38/1.27 --bmc1_ucm_n_expand_iterations 6 % 3.38/1.27 --bmc1_ucm_extend_mode 1 % 3.38/1.27 --bmc1_ucm_init_mode 2 % 3.38/1.27 --bmc1_ucm_cone_mode none % 3.38/1.27 --bmc1_ucm_reduced_relation_type 0 % 3.38/1.27 --bmc1_ucm_relax_model 4 % 3.38/1.27 --bmc1_ucm_full_tr_after_sat true % 3.38/1.27 --bmc1_ucm_expand_neg_assumptions false % 3.38/1.27 --bmc1_ucm_layered_model none % 3.38/1.27 --bmc1_ucm_max_lemma_size 10 % 3.38/1.27 % 3.38/1.27 ------ AIG Options % 3.38/1.27 % 3.38/1.27 --aig_mode false % 3.38/1.27 % 3.38/1.27 ------ Instantiation Options % 3.38/1.27 % 3.38/1.27 --instantiation_flag true % 3.38/1.27 --inst_sos_flag false % 3.38/1.27 --inst_sos_phase true % 3.38/1.27 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb] % 3.38/1.27 --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb] % 3.38/1.27 --inst_lit_sel_side num_symb % 3.38/1.27 --inst_solver_per_active 1400 % 3.38/1.27 --inst_solver_calls_frac 1. % 3.38/1.27 --inst_to_smt_solver true % 3.38/1.27 --inst_passive_queue_type priority_queues % 3.38/1.27 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]] % 3.38/1.27 --inst_passive_queues_freq [25;2] % 3.38/1.27 --inst_dismatching true % 3.38/1.27 --inst_eager_unprocessed_to_passive true % 3.38/1.27 --inst_unprocessed_bound 1000 % 3.38/1.27 --inst_prop_sim_given true % 3.38/1.27 --inst_prop_sim_new false % 3.38/1.27 --inst_subs_new false % 3.38/1.27 --inst_eq_res_simp false % 3.38/1.27 --inst_subs_given false % 3.38/1.27 --inst_orphan_elimination true % 3.38/1.27 --inst_learning_loop_flag true % 3.38/1.27 --inst_learning_start 3000 % 3.38/1.27 --inst_learning_factor 2 % 3.38/1.27 --inst_start_prop_sim_after_learn 3 % 3.38/1.27 --inst_sel_renew solver % 3.38/1.27 --inst_lit_activity_flag true % 3.38/1.27 --inst_restr_to_given false % 3.38/1.27 --inst_activity_threshold 500 % 3.38/1.27 % 3.38/1.27 ------ Resolution Options % 3.38/1.27 % 3.38/1.27 --resolution_flag false % 3.38/1.27 --res_lit_sel adaptive % 3.38/1.27 --res_lit_sel_side none % 3.38/1.27 --res_ordering kbo % 3.38/1.27 --res_to_prop_solver active % 3.38/1.27 --res_prop_simpl_new false % 3.38/1.27 --res_prop_simpl_given true % 3.38/1.27 --res_to_smt_solver true % 3.38/1.27 --res_passive_queue_type priority_queues % 3.38/1.27 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]] % 3.38/1.27 --res_passive_queues_freq [15;5] % 3.38/1.27 --res_forward_subs full % 3.38/1.27 --res_backward_subs full % 3.38/1.27 --res_forward_subs_resolution true % 3.38/1.27 --res_backward_subs_resolution true % 3.38/1.27 --res_orphan_elimination true % 3.38/1.27 --res_time_limit 300. % 3.38/1.27 % 3.38/1.27 ------ Superposition Options % 3.38/1.27 % 3.38/1.27 --superposition_flag false % 3.38/1.27 --sup_passive_queue_type priority_queues % 3.38/1.27 --sup_passive_queues [[-conj_dist;-num_symb];[+score;+min_def_symb;-max_atom_input_occur;+conj_non_prolific_symb];[+age;-num_symb];[+score;-num_symb]] % 3.38/1.27 --sup_passive_queues_freq [8;1;4;4] % 3.38/1.27 --twee_lhs_weight 4 % 3.38/1.27 --sup_set_join false % 3.38/1.27 --sup_set_join_goals true % 3.38/1.27 --sup_set_join_limit 1000 % 3.38/1.27 --demod_completeness_check fast % 3.38/1.27 --demod_use_ground true % 3.38/1.27 --sup_unprocessed_bound 0 % 3.38/1.27 --sup_to_prop_solver passive % 3.38/1.27 --sup_prop_simpl_new true % 3.38/1.27 --sup_prop_simpl_given true % 3.38/1.27 --sup_fun_splitting false % 3.38/1.27 --sup_iter_deepening 2 % 3.38/1.27 --sup_restarts_mult 12 % 3.38/1.27 --sup_score sim_d_gen % 3.38/1.27 --sup_share_score_frac 0.2 % 3.38/1.27 --sup_share_max_num_cl 500 % 3.38/1.27 --sup_ordering kbo % 3.38/1.27 --sup_symb_ordering invfreq % 3.38/1.27 --sup_term_weight default % 3.38/1.27 % 3.38/1.27 ------ Superposition Simplification Setup % 3.38/1.27 % 3.38/1.27 --sup_indices_passive [LightNormIndex;FwDemodIndex] % 3.38/1.27 --sup_full_triv [SMTSimplify;PropSubs] % 3.38/1.27 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] % 3.38/1.27 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] % 3.38/1.27 --sup_immed_triv [] % 3.38/1.27 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes] % 3.38/1.27 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes] % 3.38/1.27 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod] % 3.38/1.27 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] % 3.38/1.27 --sup_input_triv [Unflattening;SMTSimplify] % 3.38/1.27 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] % 3.38/1.27 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] % 3.38/1.27 --sup_full_fixpoint true % 3.38/1.27 --sup_main_fixpoint true % 3.38/1.27 --sup_immed_fixpoint false % 3.38/1.27 --sup_input_fixpoint true % 3.38/1.27 --sup_cache_sim none % 3.38/1.27 --sup_smt_interval 500 % 3.38/1.27 --sup_bw_gjoin_interval 0 % 3.38/1.27 % 3.38/1.27 ------ Combination Options % 3.38/1.27 % 3.38/1.27 --comb_mode clause_based % 3.38/1.27 --comb_inst_mult 5 % 3.38/1.27 --comb_res_mult 1 % 3.38/1.27 --comb_sup_mult 8 % 3.38/1.27 --comb_sup_deep_mult 2 % 3.38/1.27 % 3.38/1.27 ------ Debug Options % 3.38/1.27 % 3.38/1.27 --dbg_backtrace false % 3.38/1.27 --dbg_dump_prop_clauses false % 3.38/1.27 --dbg_dump_prop_clauses_file - % 3.38/1.27 --dbg_out_stat false % 3.38/1.27 --dbg_just_parse false % 3.38/1.27 % 3.38/1.27 % 3.38/1.27 % 3.38/1.27 % 3.38/1.27 ------ Proving... % 3.38/1.27 % 3.38/1.27 % 3.38/1.27 % SZS status Satisfiable for theBenchmark.p % 3.38/1.27 % 3.38/1.27 ------ Building Model...Done % 3.38/1.27 % 3.38/1.27 %------ The model is defined over ground terms (initial term algebra). % 3.38/1.27 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) % 3.38/1.27 %------ where \phi is a formula over the term algebra. % 3.38/1.27 %------ If we have equality in the problem then it is also defined as a predicate above, % 3.38/1.27 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type % 3.38/1.27 %------ See help for --sat_out_model for different model outputs. % 3.38/1.27 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "=" % 3.38/1.27 %------ where the first argument stands for the sort ($i in the unsorted case) % 3.38/1.27 % SZS output start Model for theBenchmark.p % 3.38/1.27 % 3.38/1.27 %------ Positive definition of equality_sorted % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_tType,X0_'ZF_ZF_unit_Category_ext',X1_'ZF_ZF_unit_Category_ext'] : % 3.38/1.27 ( equality_sorted(X0_tType,X0_'ZF_ZF_unit_Category_ext',X1_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.27 ( % 3.38/1.27 ( % 3.38/1.27 ( X0_tType='A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) % 3.38/1.27 ) % 3.38/1.27 % 3.38/1.27 | % 3.38/1.27 ( % 3.38/1.27 ( X0_tType='ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ) % 3.38/1.27 ) % 3.38/1.27 % 3.38/1.27 | % 3.38/1.27 ( % 3.38/1.27 ( X0_tType='B_ZF_fun_set$' ) % 3.38/1.27 ) % 3.38/1.27 % 3.38/1.27 | % 3.38/1.27 ( % 3.38/1.27 ( X0_tType='A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ) % 3.38/1.27 ) % 3.38/1.27 % 3.38/1.27 | % 3.38/1.27 ( % 3.38/1.27 ( X0_tType='A_b_b_c_LSCategory_ext_Category_ext$' ) % 3.38/1.27 ) % 3.38/1.27 % 3.38/1.27 | % 3.38/1.27 ( % 3.38/1.27 ( X0_tType='A_ZF_fun$' ) % 3.38/1.27 ) % 3.38/1.27 % 3.38/1.27 | % 3.38/1.27 ( % 3.38/1.27 ( X0_tType='A_set$' ) % 3.38/1.27 ) % 3.38/1.27 % 3.38/1.27 | % 3.38/1.27 ( % 3.38/1.27 ( X0_tType='ZF_ZF_unit_Category_ext$' ) % 3.38/1.27 ) % 3.38/1.27 % 3.38/1.27 | % 3.38/1.27 ( % 3.38/1.27 ( X0_tType='B_set$' ) % 3.38/1.27 ) % 3.38/1.27 % 3.38/1.27 | % 3.38/1.27 ( % 3.38/1.27 ( X0_tType='B_a_fun_set$' ) % 3.38/1.27 ) % 3.38/1.27 % 3.38/1.27 | % 3.38/1.27 ( % 3.38/1.27 ( X0_tType='ZF_ZF_prod_set$' ) % 3.38/1.27 ) % 3.38/1.27 % 3.38/1.27 | % 3.38/1.27 ( % 3.38/1.27 ( X0_tType='B$' ) % 3.38/1.27 ) % 3.38/1.27 % 3.38/1.27 | % 3.38/1.27 ( % 3.38/1.27 ( X0_tType='A$' ) % 3.38/1.27 ) % 3.38/1.27 % 3.38/1.27 | % 3.38/1.27 ( % 3.38/1.27 ( X0_tType='Unit$' ) % 3.38/1.27 ) % 3.38/1.27 % 3.38/1.27 | % 3.38/1.27 ( % 3.38/1.27 ( X0_tType='ZF_ZF_ZF_fun_fun$' ) % 3.38/1.27 ) % 3.38/1.27 % 3.38/1.27 | % 3.38/1.27 ( % 3.38/1.27 ( X0_tType='ZF$' ) % 3.38/1.27 ) % 3.38/1.27 % 3.38/1.27 | % 3.38/1.27 ( % 3.38/1.27 ( X0_tType='ZF_set$' ) % 3.38/1.27 ) % 3.38/1.27 % 3.38/1.27 | % 3.38/1.27 ( % 3.38/1.27 ( X0_tType='B_b_prod_set$' ) % 3.38/1.27 ) % 3.38/1.27 % 3.38/1.27 | % 3.38/1.27 ( % 3.38/1.27 ( X0_tType='B_b_prod$' ) % 3.38/1.27 ) % 3.38/1.27 % 3.38/1.27 | % 3.38/1.27 ( % 3.38/1.27 ( X0_tType='ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' ) % 3.38/1.27 ) % 3.38/1.27 % 3.38/1.27 | % 3.38/1.27 ( % 3.38/1.27 ( X0_tType='ZF_ZF_fun$' ) % 3.38/1.27 ) % 3.38/1.27 % 3.38/1.27 | % 3.38/1.27 ( % 3.38/1.27 ( X0_tType='Unit_unit_unit_Category_ext$' ) % 3.38/1.27 ) % 3.38/1.27 % 3.38/1.27 | % 3.38/1.27 ( % 3.38/1.27 ( X0_tType='B_ZF_fun$' ) % 3.38/1.27 ) % 3.38/1.27 % 3.38/1.27 | % 3.38/1.27 ( % 3.38/1.27 ( X0_tType='A_b_fun_set$' ) % 3.38/1.27 ) % 3.38/1.27 % 3.38/1.27 | % 3.38/1.27 ( % 3.38/1.27 ( X0_tType='ZF_ZF_prod$' ) % 3.38/1.27 ) % 3.38/1.27 % 3.38/1.27 | % 3.38/1.27 ( % 3.38/1.27 ( X0_tType='A_ZF_fun_set$' ) % 3.38/1.27 ) % 3.38/1.27 % 3.38/1.27 | % 3.38/1.27 ( % 3.38/1.27 ( X0_tType='A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$' ) % 3.38/1.27 ) % 3.38/1.27 % 3.38/1.27 | % 3.38/1.27 ( % 3.38/1.27 ( X0_tType='A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$' ) % 3.38/1.27 ) % 3.38/1.27 % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'member$j' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_fun_set'] : % 3.38/1.27 ( 'member$j'(X0_'ZF_ZF_fun',X0_'ZF_ZF_fun_set') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'fun_app$e' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'B_ZF_fun_bool_fun',X0_'B_ZF_fun'] : % 3.38/1.27 ( 'fun_app$e'(X0_'B_ZF_fun_bool_fun',X0_'B_ZF_fun') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'extCategory$' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.27 ( 'extCategory$'(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.27 $false % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'functor_comp_def$c' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'] : % 3.38/1.27 ( 'functor_comp_def$c'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'lSCategory$' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.27 ( 'lSCategory$'(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'fun_app$a' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.27 ( 'fun_app$a'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'member$f' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'A_ZF_fun',X0_'A_ZF_fun_set'] : % 3.38/1.27 ( 'member$f'(X0_'A_ZF_fun',X0_'A_ZF_fun_set') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'functor_comp_def$b' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'] : % 3.38/1.27 ( 'functor_comp_def$b'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'natTransP$f' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.27 ( 'natTransP$f'(X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.27 $false % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'fun_app$q' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.27 ( 'fun_app$q'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'fun_app$b' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'ZF_ZF_prod_bool_fun',X0_'ZF_ZF_prod'] : % 3.38/1.27 ( 'fun_app$b'(X0_'ZF_ZF_prod_bool_fun',X0_'ZF_ZF_prod') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'category$a' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.27 ( 'category$a'(X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'functor_comp_def$a' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext'] : % 3.38/1.27 ( 'functor_comp_def$a'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'category$b' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext'] : % 3.38/1.27 ( 'category$b'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'functorM_axioms$' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'] : % 3.38/1.27 ( 'functorM_axioms$'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'functorExt$' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'] : % 3.38/1.27 ( 'functorExt$'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'category$' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.27 ( 'category$'(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'nTCompDefined$' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'] : % 3.38/1.27 ( 'nTCompDefined$'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'member$m' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_ZF_fun_set'] : % 3.38/1.27 ( 'member$m'(X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_ZF_fun_set') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'natTrans$a' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'] : % 3.38/1.27 ( 'natTrans$a'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'fun_app$d' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'ZF_bool_fun',X0_'ZF'] : % 3.38/1.27 ( 'fun_app$d'(X0_'ZF_bool_fun',X0_'ZF') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'natTransP$e' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext'] : % 3.38/1.27 ( 'natTransP$e'(X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.27 $false % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'member$c' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'ZF',X0_'ZF_set'] : % 3.38/1.27 ( 'member$c'(X0_'ZF',X0_'ZF_set') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'member$g' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'A_b_fun',X0_'A_b_fun_set'] : % 3.38/1.27 ( 'member$g'(X0_'A_b_fun',X0_'A_b_fun_set') <=> % 3.38/1.27 $false % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'compDefined$c' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'Unit_unit_unit_Category_ext',X0_'Unit',X1_'Unit'] : % 3.38/1.27 ( 'compDefined$c'(X0_'Unit_unit_unit_Category_ext',X0_'Unit',X1_'Unit') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'natTransP$b' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext'] : % 3.38/1.27 ( 'natTransP$b'(X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'functor_comp_def$' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext'] : % 3.38/1.27 ( 'functor_comp_def$'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'functor$d' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext'] : % 3.38/1.27 ( 'functor$d'(X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext') <=> % 3.38/1.27 $false % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'functor$f' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.27 ( 'functor$f'(X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.27 $false % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'category_axioms$b' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext'] : % 3.38/1.27 ( 'category_axioms$b'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'lSCategory_axioms$' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.27 ( 'lSCategory_axioms$'(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'member$e' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'B_a_fun',X0_'B_a_fun_set'] : % 3.38/1.27 ( 'member$e'(X0_'B_a_fun',X0_'B_a_fun_set') <=> % 3.38/1.27 $false % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'nTCompDefined$e' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X1_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.27 ( 'nTCompDefined$e'(X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X1_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.27 $false % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'fun_app$c' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'B_b_prod_bool_fun',X0_'B_b_prod'] : % 3.38/1.27 ( 'fun_app$c'(X0_'B_b_prod_bool_fun',X0_'B_b_prod') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'natTrans$e' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext'] : % 3.38/1.27 ( 'natTrans$e'(X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.27 $false % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'functor_abbrev$b' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext',X1_'ZF_ZF_unit_Category_ext'] : % 3.38/1.27 ( 'functor_abbrev$b'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext',X1_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'fun_app$g' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'A_ZF_fun_bool_fun',X0_'A_ZF_fun'] : % 3.38/1.27 ( 'fun_app$g'(X0_'A_ZF_fun_bool_fun',X0_'A_ZF_fun') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'extCategory$a' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.27 ( 'extCategory$a'(X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'category_axioms$' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.27 ( 'category_axioms$'(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'functor_abbrev$' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [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'] : % 3.38/1.27 ( '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') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'natTransExt$' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'] : % 3.38/1.27 ( 'natTransExt$'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'functorM$' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'] : % 3.38/1.27 ( 'functorM$'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'natTransP$d' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext'] : % 3.38/1.27 ( 'natTransP$d'(X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext') <=> % 3.38/1.27 $false % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'natTrans$b' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext'] : % 3.38/1.27 ( 'natTrans$b'(X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'mapsTo$c' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'Unit_unit_unit_Category_ext',X0_'Unit',X1_'Unit',X2_'Unit'] : % 3.38/1.27 ( 'mapsTo$c'(X0_'Unit_unit_unit_Category_ext',X0_'Unit',X1_'Unit',X2_'Unit') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'fun_app$j' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'A_bool_fun',X0_'A'] : % 3.38/1.27 ( 'fun_app$j'(X0_'A_bool_fun',X0_'A') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'functor$b' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'] : % 3.38/1.27 ( 'functor$b'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'compDefined$b' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'] : % 3.38/1.27 ( 'compDefined$b'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.27 $false % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'functor_abbrev$a' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext',X0_'Unit_unit_unit_Category_ext'] : % 3.38/1.27 ( 'functor_abbrev$a'(X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext',X0_'Unit_unit_unit_Category_ext') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'functor$e' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext'] : % 3.38/1.27 ( 'functor$e'(X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext') <=> % 3.38/1.27 $false % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'member$h' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'B',X0_'B_set'] : % 3.38/1.27 ( 'member$h'(X0_'B',X0_'B_set') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'member$a' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'ZF_ZF_prod',X0_'ZF_ZF_prod_set'] : % 3.38/1.27 ( 'member$a'(X0_'ZF_ZF_prod',X0_'ZF_ZF_prod_set') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'member$i' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'A',X0_'A_set'] : % 3.38/1.27 ( 'member$i'(X0_'A',X0_'A_set') <=> % 3.38/1.27 $true % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'natTrans$f' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.27 ( 'natTrans$f'(X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.27 $false % 3.38/1.27 ) % 3.38/1.27 ) % 3.38/1.27 ). % 3.38/1.27 % 3.38/1.27 %------ Positive definition of 'nTCompDefined$c' % 3.38/1.27 fof(lit_def,axiom, % 3.38/1.27 (! [X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext',X1_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( 'nTCompDefined$c'(X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext',X1_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.28 $false % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of 'natTransP$c' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext'] : % 3.38/1.28 ( 'natTransP$c'(X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext') <=> % 3.38/1.28 $false % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of 'fun_app$f' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_a_fun_bool_fun',X0_'B_a_fun'] : % 3.38/1.28 ( 'fun_app$f'(X0_'B_a_fun_bool_fun',X0_'B_a_fun') <=> % 3.38/1.28 $false % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of 'category_axioms$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.28 ( 'category_axioms$a'(X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.28 $true % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of 'preFunctor$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'] : % 3.38/1.28 ( 'preFunctor$a'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext') <=> % 3.38/1.28 $true % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of 'member$b' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_b_prod',X0_'B_b_prod_set'] : % 3.38/1.28 ( 'member$b'(X0_'B_b_prod',X0_'B_b_prod_set') <=> % 3.38/1.28 $true % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of 'fun_app$i' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_bool_fun',X0_'B'] : % 3.38/1.28 ( 'fun_app$i'(X0_'B_bool_fun',X0_'B') <=> % 3.38/1.28 $true % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of 'member$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set'] : % 3.38/1.28 ( 'member$'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set') <=> % 3.38/1.28 $true % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of 'mapsTo$b' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'] : % 3.38/1.28 ( 'mapsTo$b'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext') <=> % 3.38/1.28 $false % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of 'fun_app$h' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_b_fun_bool_fun',X0_'A_b_fun'] : % 3.38/1.28 ( 'fun_app$h'(X0_'A_b_fun_bool_fun',X0_'A_b_fun') <=> % 3.38/1.28 $false % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of 'member$k' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'Unit',X0_'Unit_set'] : % 3.38/1.28 ( 'member$k'(X0_'Unit',X0_'Unit_set') <=> % 3.38/1.28 $true % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of 'natTransP$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( 'natTransP$'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.28 $true % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of 'nt_abbrev$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'] : % 3.38/1.28 ( 'nt_abbrev$'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext') <=> % 3.38/1.28 $true % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of 'member$d' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_ZF_fun',X0_'B_ZF_fun_set'] : % 3.38/1.28 ( 'member$d'(X0_'B_ZF_fun',X0_'B_ZF_fun_set') <=> % 3.38/1.28 $true % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of 'functor$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext'] : % 3.38/1.28 ( 'functor$a'(X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext') <=> % 3.38/1.28 $true % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of 'functor$c' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext'] : % 3.38/1.28 ( 'functor$c'(X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext') <=> % 3.38/1.28 $false % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of 'member$o' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_set',X0_'ZF_set_set'] : % 3.38/1.28 ( 'member$o'(X0_'ZF_set',X0_'ZF_set_set') <=> % 3.38/1.28 $true % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of sP0 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( sP0(X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.28 $true % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of sP1 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext'] : % 3.38/1.28 ( sP1(X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext') <=> % 3.38/1.28 $false % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of sP2 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext'] : % 3.38/1.28 ( sP2(X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext') <=> % 3.38/1.28 $false % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of sP3 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( sP3(X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.28 $false % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of sP4 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( sP4(X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.28 $false % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of sP5 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( sP5(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.28 $true % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of sP6 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( sP6(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.28 $true % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of sP7 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.28 ( sP7(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.28 $true % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of sP8 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.28 ( sP8(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.28 $true % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of sP9 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.28 ( sP9(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.28 $false % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of sP10 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.28 ( sP10(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.28 $false % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of sP11 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.28 ( sP11(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.28 $false % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of sP12 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.28 ( sP12(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.28 $false % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of sP13 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.28 ( sP13(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.28 $false % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of sP14 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.28 ( sP14(X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.28 $false % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of sP15 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.28 ( sP15(X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.28 $false % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of sP16 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.28 ( sP16(X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.28 $false % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of sP17 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.28 ( sP17(X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.28 $false % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of sP18 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.28 ( sP18(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.28 $true % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of sP19 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.28 ( sP19(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.28 $true % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of sP20 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.28 ( sP20(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.28 $true % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of sP21 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.28 ( sP21(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.28 $true % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of sP22 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.28 ( sP22(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.28 $true % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of sP23 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.28 ( sP23(X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.28 $true % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of sP24 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.28 ( sP24(X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.28 $true % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of sP25 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.28 ( sP25(X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.28 $true % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of sP26 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.28 ( sP26(X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.28 $true % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of sP27 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.28 ( sP27(X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.28 $true % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of sP28 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.28 ( sP28(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.28 $true % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of sP29 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.28 ( sP29(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.28 $false % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of sP30 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.28 ( sP30(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.28 $true % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'functorComp$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'] : % 3.38/1.28 ( iProver_Flat_'functorComp$a'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'collect$e' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_ZF_fun_set',X0_'B_ZF_fun_bool_fun'] : % 3.38/1.28 ( iProver_Flat_'collect$e'(X0_'B_ZF_fun_set',X0_'B_ZF_fun_bool_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_ZF_fun_set'=iProver_Domain_'B_ZF_fun_set'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'more_update$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X0_'Unit_unit_fun',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'more_update$'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X0_'Unit_unit_fun',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'id$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_b_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'id$'(X0_'A_b_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_b_fun'=iProver_Domain_'A_b_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'makeCat$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun'] : % 3.38/1.28 ( iProver_Flat_'makeCat$a'(X0_'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun'=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'restrict$c' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_fun',X1_'A_ZF_fun',X0_'A_set'] : % 3.38/1.28 ( iProver_Flat_'restrict$c'(X0_'A_ZF_fun',X1_'A_ZF_fun',X0_'A_set') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_fun'=iProver_Domain_'A_ZF_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'functorComp$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'] : % 3.38/1.28 ( iProver_Flat_'functorComp$'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'catDom$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'] : % 3.38/1.28 ( iProver_Flat_'catDom$a'(X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'extensional$c' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_a_fun_set',X0_'B_set'] : % 3.38/1.28 ( iProver_Flat_'extensional$c'(X0_'B_a_fun_set',X0_'B_set') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_a_fun_set'=iProver_Domain_'B_a_fun_set'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'uun$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'uun$'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'c$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'c$'(X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_b_b_c_LSCategory_ext_Category_ext'=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'collect$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_bool_fun'] : % 3.38/1.28 ( iProver_Flat_'collect$'(X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod_bool_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_prod_set'=iProver_Domain_'ZF_ZF_prod_set'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'mor_update$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun',X0_'B_set_b_set_fun'] : % 3.38/1.28 ( iProver_Flat_'mor_update$a'(X0_'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun',X0_'B_set_b_set_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun'=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'uum$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B'] : % 3.38/1.28 ( iProver_Flat_'uum$'(X0_'A_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_fun'=iProver_Domain_'A_ZF_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'nTCod$c' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext',X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'nTCod$c'(X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext',X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext'=iProver_Domain_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'uuq$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_bool_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A'] : % 3.38/1.28 ( iProver_Flat_'uuq$'(X0_'ZF_bool_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'nt_abbrev$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.28 ( iProver_Flat_'nt_abbrev$a'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'fun_app$s' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun',X1_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'fun_app$s'(X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun',X1_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_b_b_c_LSCategory_ext_Category_ext'=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'more$b' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'Unit',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.28 ( iProver_Flat_'more$b'(X0_'Unit',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'Unit'=iProver_Domain_'Unit'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'unitFunctor$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'unitFunctor$'(X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext'=iProver_Domain_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'natTransMap$d' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_b_fun',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'natTransMap$d'(X0_'A_b_fun',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_b_fun'=iProver_Domain_'A_b_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'natTrans_ext$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_ZF_fun',X0_'Unit'] : % 3.38/1.28 ( iProver_Flat_'natTrans_ext$a'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_ZF_fun',X0_'Unit') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'the$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B',X0_'B_bool_fun'] : % 3.38/1.28 ( iProver_Flat_'the$a'(X0_'B',X0_'B_bool_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'mapsTo$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B',X0_'A'] : % 3.38/1.28 ( iProver_Flat_'mapsTo$'(X0_'A_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B',X0_'A') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_bool_fun'=iProver_Domain_'A_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'obj$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_set',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'obj$a'(X0_'A_set',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_set'=iProver_Domain_'A_set'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'uuz$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'uuz$'(X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'case_prod$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_ZF_fun_fun'] : % 3.38/1.28 ( iProver_Flat_'case_prod$'(X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_ZF_fun_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_prod_ZF_fun'=iProver_Domain_'ZF_ZF_prod_ZF_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'catCod$d' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [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'] : % 3.38/1.28 ( iProver_Flat_'catCod$d'(X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_b_b_c_LSCategory_ext_Category_ext'=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'catDom$c' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_unit_Category_ext',X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext'] : % 3.38/1.28 ( iProver_Flat_'catDom$c'(X0_'ZF_ZF_unit_Category_ext',X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'natTrans$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun'] : % 3.38/1.28 ( iProver_Flat_'natTrans$'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'fun_app$n' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF',X0_'A_ZF_fun',X0_'A'] : % 3.38/1.28 ( iProver_Flat_'fun_app$n'(X0_'ZF',X0_'A_ZF_fun',X0_'A') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'uua$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_bool_fun',X0_'ZF_set'] : % 3.38/1.28 ( iProver_Flat_'uua$'(X0_'ZF_bool_fun',X0_'ZF_set') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'uup$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'uup$'(X0_'A_ZF_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_fun'=iProver_Domain_'A_ZF_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'extensional$d' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_prod_ZF_fun_set',X0_'ZF_ZF_prod_set'] : % 3.38/1.28 ( iProver_Flat_'extensional$d'(X0_'ZF_ZF_prod_ZF_fun_set',X0_'ZF_ZF_prod_set') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_prod_ZF_fun_set'=iProver_Domain_'ZF_ZF_prod_ZF_fun_set'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'obj_update$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun',X0_'ZF_set_ZF_set_fun'] : % 3.38/1.28 ( iProver_Flat_'obj_update$'(X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun',X0_'ZF_set_ZF_set_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun'=iProver_Domain_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'catDom_update$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun'] : % 3.38/1.28 ( iProver_Flat_'catDom_update$a'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'catCod$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_unit_Category_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.28 ( iProver_Flat_'catCod$'(X0_'ZF_ZF_unit_Category_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'nTCatDom$f' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_unit_Category_ext',X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'nTCatDom$f'(X0_'ZF_ZF_unit_Category_ext',X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'top$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_set'] : % 3.38/1.28 ( iProver_Flat_'top$'(X0_'ZF_set') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'restrict$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B',X0_'B_b_prod_b_fun',X0_'B_b_prod_set',X0_'B_b_prod'] : % 3.38/1.28 ( iProver_Flat_'restrict$a'(X0_'B',X0_'B_b_prod_b_fun',X0_'B_b_prod_set',X0_'B_b_prod') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'mapM$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'Unit',X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext',X0_'ZF'] : % 3.38/1.28 ( iProver_Flat_'mapM$a'(X0_'Unit',X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext',X0_'ZF') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'Unit'=iProver_Domain_'Unit'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'catExp$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext',X0_'ZF_ZF_unit_Category_ext',X1_'ZF_ZF_unit_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'catExp$'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext',X0_'ZF_ZF_unit_Category_ext',X1_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'more$c' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'C',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'more$c'(X0_'C',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'C'=iProver_Domain_'C'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'oppositeCategory$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun'] : % 3.38/1.28 ( iProver_Flat_'oppositeCategory$'(X0_'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun'=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'fun_app$r' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'fun_app$r'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'nTDom$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'nTDom$a'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'mapO$b' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'] : % 3.38/1.28 ( iProver_Flat_'mapO$b'(X0_'ZF_ZF_fun',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'f$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B'] : % 3.38/1.28 ( iProver_Flat_'f$'(X0_'B') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'natTransComp$g' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X1_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X2_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'natTransComp$g'(X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X1_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X2_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext'=iProver_Domain_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'nTCompDefined$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'nTCompDefined$a'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'uus$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'ZF'] : % 3.38/1.28 ( iProver_Flat_'uus$'(X0_'B_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'ZF') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'uud$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_a_fun_bool_fun',X0_'B_a_fun_set'] : % 3.38/1.28 ( iProver_Flat_'uud$'(X0_'B_a_fun_bool_fun',X0_'B_a_fun_set') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_a_fun_bool_fun'=iProver_Domain_'B_a_fun_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'natTransComp$d' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext',X1_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext',X2_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'natTransComp$d'(X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext',X1_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext',X2_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext'=iProver_Domain_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'fun_app$ab' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A',X0_'B_a_fun',X0_'B'] : % 3.38/1.28 ( iProver_Flat_'fun_app$ab'(X0_'A',X0_'B_a_fun',X0_'B') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'nTCatDom$d' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'nTCatDom$d'(X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_b_b_c_LSCategory_ext_Category_ext'=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'mapO$f' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A'] : % 3.38/1.28 ( iProver_Flat_'mapO$f'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'collect$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_b_prod_set',X0_'B_b_prod_bool_fun'] : % 3.38/1.28 ( iProver_Flat_'collect$a'(X0_'B_b_prod_set',X0_'B_b_prod_bool_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_b_prod_set'=iProver_Domain_'B_b_prod_set'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'nTCod$e' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext',X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'nTCod$e'(X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext',X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'mor$c' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'Unit_set',X0_'Unit_unit_unit_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'mor$c'(X0_'Unit_set',X0_'Unit_unit_unit_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'Unit_set'=iProver_Domain_'Unit_set'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'pair$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_b_prod',X0_'B',X1_'B'] : % 3.38/1.28 ( iProver_Flat_'pair$a'(X0_'B_b_prod',X0_'B',X1_'B') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_b_prod'=iProver_Domain_'B_b_prod'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'equivalence_axioms$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun'] : % 3.38/1.28 ( iProver_Flat_'equivalence_axioms$'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'dom_update$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun'] : % 3.38/1.28 ( iProver_Flat_'dom_update$'(X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun'=iProver_Domain_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'fun_app$u' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_fun',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'] : % 3.38/1.28 ( iProver_Flat_'fun_app$u'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_fun',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'idNatTrans$d' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun'] : % 3.38/1.28 ( iProver_Flat_'idNatTrans$d'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'uuk$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'uuk$'(X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'uut$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_bool_fun'] : % 3.38/1.28 ( iProver_Flat_'uut$'(X0_'ZF_bool_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'comp_update$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun',X0_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun'] : % 3.38/1.28 ( iProver_Flat_'comp_update$'(X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun',X0_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun'=iProver_Domain_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'case_prod$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_b_prod_b_fun',X0_'B_b_b_fun_fun'] : % 3.38/1.28 ( iProver_Flat_'case_prod$a'(X0_'B_b_prod_b_fun',X0_'B_b_b_fun_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_b_prod_b_fun'=iProver_Domain_'B_b_prod_b_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'functorM$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun'] : % 3.38/1.28 ( iProver_Flat_'functorM$a'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'nTCatDom$b' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_unit_Category_ext',X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'nTCatDom$b'(X0_'ZF_ZF_unit_Category_ext',X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'natTransComp$f' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext',X1_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext',X2_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'natTransComp$f'(X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext',X1_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext',X2_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'uu$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_bool_fun',X0_'B_set'] : % 3.38/1.28 ( iProver_Flat_'uu$'(X0_'B_bool_fun',X0_'B_set') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'set$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'set$'(X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'nTCatCod$d' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'nTCatCod$d'(X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_b_b_c_LSCategory_ext_Category_ext'=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'mapM$d' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext',X1_'B'] : % 3.38/1.28 ( iProver_Flat_'mapM$d'(X0_'B',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext',X1_'B') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'unity$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'Unit'] : % 3.38/1.28 ( iProver_Flat_'unity$'(X0_'Unit') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'Unit'=iProver_Domain_'Unit'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'uuo$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'uuo$'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'uur$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_fun_fun',X0_'ZF'] : % 3.38/1.28 ( iProver_Flat_'uur$'(X0_'ZF_ZF_ZF_fun_fun',X0_'ZF') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'fun_app$z' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'fun_app$z'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'oppositeCategory$b' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun'] : % 3.38/1.28 ( iProver_Flat_'oppositeCategory$b'(X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun'=iProver_Domain_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'nTDom$f' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'nTDom$f'(X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext'=iProver_Domain_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'uuy$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_prod_bool_fun',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'uuy$'(X0_'ZF_ZF_prod_bool_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_prod_bool_fun'=iProver_Domain_'ZF_ZF_prod_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'natTransComp$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X2_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'natTransComp$'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X2_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'fun_app$l' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B',X0_'B_b_fun',X1_'B'] : % 3.38/1.28 ( iProver_Flat_'fun_app$l'(X0_'B',X0_'B_b_fun',X1_'B') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'mor2ZF$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'mor2ZF$'(X0_'B_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_ZF_fun'=iProver_Domain_'B_ZF_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'idNatTrans$b' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.28 ( iProver_Flat_'idNatTrans$b'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'natTransMap$c' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext',X0_'ZF'] : % 3.38/1.28 ( iProver_Flat_'natTransMap$c'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext',X0_'ZF') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'catDom$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.28 ( iProver_Flat_'catDom$'(X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_b_b_c_LSCategory_ext_Category_ext'=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'zFfun$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF',X1_'ZF',X2_'ZF',X0_'ZF_ZF_fun'] : % 3.38/1.28 ( iProver_Flat_'zFfun$'(X0_'ZF',X1_'ZF',X2_'ZF',X0_'ZF_ZF_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'catDom_update$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_fun',X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun'] : % 3.38/1.28 ( iProver_Flat_'catDom_update$'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_fun',X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_fun'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'inverse_rel$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_bool_fun',X0_'ZF_ZF_unit_Category_ext',X0_'ZF'] : % 3.38/1.28 ( iProver_Flat_'inverse_rel$'(X0_'ZF_bool_fun',X0_'ZF_ZF_unit_Category_ext',X0_'ZF') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'extensional$b' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_ZF_fun_set',X0_'B_set'] : % 3.38/1.28 ( iProver_Flat_'extensional$b'(X0_'B_ZF_fun_set',X0_'B_set') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_ZF_fun_set'=iProver_Domain_'B_ZF_fun_set'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'fun_app$p' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B',X0_'A_b_fun',X0_'A'] : % 3.38/1.28 ( iProver_Flat_'fun_app$p'(X0_'B',X0_'A_b_fun',X0_'A') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'idNatTrans$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext',X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext'] : % 3.38/1.28 ( iProver_Flat_'idNatTrans$'(X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext',X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext'=iProver_Domain_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'more$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'Unit',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'more$a'(X0_'Unit',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'Unit'=iProver_Domain_'Unit'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'more$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'Unit',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'more$'(X0_'Unit',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'Unit'=iProver_Domain_'Unit'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'nTCod$f' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'nTCod$f'(X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext'=iProver_Domain_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'mapM$e' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext',X0_'ZF'] : % 3.38/1.28 ( iProver_Flat_'mapM$e'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext',X0_'ZF') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'fun_app$ac' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun'] : % 3.38/1.28 ( iProver_Flat_'fun_app$ac'(X0_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'natTransMap$e' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X0_'A'] : % 3.38/1.28 ( iProver_Flat_'natTransMap$e'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X0_'A') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'zFfunCod$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_fun'] : % 3.38/1.28 ( iProver_Flat_'zFfunCod$'(X0_'ZF_ZF_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'natTransMap$b' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B',X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext',X0_'ZF'] : % 3.38/1.28 ( iProver_Flat_'natTransMap$b'(X0_'B',X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext',X0_'ZF') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'fun_app$k' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_ZF_fun_fun',X0_'ZF'] : % 3.38/1.28 ( iProver_Flat_'fun_app$k'(X0_'ZF_ZF_fun',X0_'ZF_ZF_ZF_fun_fun',X0_'ZF') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'homFtor$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A'] : % 3.38/1.28 ( iProver_Flat_'homFtor$'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'category_ext$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [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'] : % 3.38/1.28 ( iProver_Flat_'category_ext$'(X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A_set',X0_'B_set',X0_'B_a_fun',X1_'B_a_fun',X0_'A_b_fun',X0_'B_b_b_fun_fun',X0_'B_c_LSCategory_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_b_b_c_LSCategory_ext_Category_ext'=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'catDom$b' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_unit_Category_ext',X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext'] : % 3.38/1.28 ( iProver_Flat_'catDom$b'(X0_'ZF_ZF_unit_Category_ext',X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'nTDom$e' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext',X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'nTDom$e'(X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext',X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'nTDom$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun'] : % 3.38/1.28 ( iProver_Flat_'nTDom$'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'more$e' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'Unit',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'more$e'(X0_'Unit',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'Unit'=iProver_Domain_'Unit'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'catDom$f' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.28 ( iProver_Flat_'catDom$f'(X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_b_b_c_LSCategory_ext_Category_ext'=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'set$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'set$a'(X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'idNatTrans$e' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext',X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext'] : % 3.38/1.28 ( iProver_Flat_'idNatTrans$e'(X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext',X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext'=iProver_Domain_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'nTDom$c' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext',X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'nTDom$c'(X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext',X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext'=iProver_Domain_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'compDefined$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_bool_fun',X0_'ZF_ZF_unit_Category_ext',X0_'ZF'] : % 3.38/1.28 ( iProver_Flat_'compDefined$'(X0_'ZF_bool_fun',X0_'ZF_ZF_unit_Category_ext',X0_'ZF') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'makeCat$c' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'makeCat$c'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'extensional$f' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_b_prod_b_fun_set',X0_'B_b_prod_set'] : % 3.38/1.28 ( iProver_Flat_'extensional$f'(X0_'B_b_prod_b_fun_set',X0_'B_b_prod_set') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_b_prod_b_fun_set'=iProver_Domain_'B_b_prod_b_fun_set'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'restrict$d' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_a_fun',X1_'B_a_fun',X0_'B_set'] : % 3.38/1.28 ( iProver_Flat_'restrict$d'(X0_'B_a_fun',X1_'B_a_fun',X0_'B_set') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_a_fun'=iProver_Domain_'B_a_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'mapM$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_ZF_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.28 ( iProver_Flat_'mapM$'(X0_'B_ZF_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_ZF_fun'=iProver_Domain_'B_ZF_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'collect$d' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_set',X0_'A_bool_fun'] : % 3.38/1.28 ( iProver_Flat_'collect$d'(X0_'A_set',X0_'A_bool_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_set'=iProver_Domain_'A_set'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'equivalence$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun'] : % 3.38/1.28 ( iProver_Flat_'equivalence$a'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'natTrans_ext$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_fun',X0_'Unit'] : % 3.38/1.28 ( iProver_Flat_'natTrans_ext$'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_fun',X0_'Unit') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'catExp$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'catExp$a'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'dom$b' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'dom$b'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'fun_app$m' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_b_fun',X0_'B_b_b_fun_fun',X0_'B'] : % 3.38/1.28 ( iProver_Flat_'fun_app$m'(X0_'B_b_fun',X0_'B_b_b_fun_fun',X0_'B') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_b_fun'=iProver_Domain_'B_b_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'nTCod_update$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'nTCod_update$a'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'catCod$c' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext'] : % 3.38/1.28 ( iProver_Flat_'catCod$c'(X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_b_b_c_LSCategory_ext_Category_ext'=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'restrict$f' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_set'] : % 3.38/1.28 ( iProver_Flat_'restrict$f'(X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_set') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'natTransMap$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'natTransMap$'(X0_'A_ZF_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_fun'=iProver_Domain_'A_ZF_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'natTransMap$f' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'Unit',X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext',X0_'ZF'] : % 3.38/1.28 ( iProver_Flat_'natTransMap$f'(X0_'Unit',X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext',X0_'ZF') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'Unit'=iProver_Domain_'Unit'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'oppositeCategory$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'oppositeCategory$a'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'functor_ext$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [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_'B_ZF_fun',X0_'Unit'] : % 3.38/1.28 ( iProver_Flat_'functor_ext$'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'ZF_ZF_unit_Category_ext',X0_'B_ZF_fun',X0_'Unit') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'nTCod$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'nTCod$a'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'extensional$e' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_b_fun_set',X0_'A_set'] : % 3.38/1.28 ( iProver_Flat_'extensional$e'(X0_'A_b_fun_set',X0_'A_set') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_b_fun_set'=iProver_Domain_'A_b_fun_set'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'collect$b' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_set',X0_'B_bool_fun'] : % 3.38/1.28 ( iProver_Flat_'collect$b'(X0_'B_set',X0_'B_bool_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'cod$b' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'cod$b'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'zFfunComp$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_fun_fun'] : % 3.38/1.28 ( iProver_Flat_'zFfunComp$'(X0_'ZF_ZF_ZF_fun_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'compDefined$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B'] : % 3.38/1.28 ( iProver_Flat_'compDefined$a'(X0_'B_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'inverse_rel$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B'] : % 3.38/1.28 ( iProver_Flat_'inverse_rel$a'(X0_'B_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'the$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF',X0_'ZF_bool_fun'] : % 3.38/1.28 ( iProver_Flat_'the$'(X0_'ZF',X0_'ZF_bool_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'nTCatDom$c' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'nTCatDom$c'(X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'catCod$e' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext',X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext'] : % 3.38/1.28 ( iProver_Flat_'catCod$e'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext',X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'catCod$b' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'] : % 3.38/1.28 ( iProver_Flat_'catCod$b'(X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'constFunctor$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext',X1_'ZF_ZF_unit_Category_ext',X0_'ZF'] : % 3.38/1.28 ( iProver_Flat_'constFunctor$a'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext',X1_'ZF_ZF_unit_Category_ext',X0_'ZF') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'uuf$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_b_fun_bool_fun',X0_'A_b_fun_set'] : % 3.38/1.28 ( iProver_Flat_'uuf$'(X0_'A_b_fun_bool_fun',X0_'A_b_fun_set') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_b_fun_bool_fun'=iProver_Domain_'A_b_fun_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'nTDom_update$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'nTDom_update$'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'catCod$f' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext',X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.28 ( iProver_Flat_'catCod$f'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext',X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'objIso$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_bool_fun',X0_'ZF_ZF_unit_Category_ext',X0_'ZF'] : % 3.38/1.28 ( iProver_Flat_'objIso$'(X0_'ZF_bool_fun',X0_'ZF_ZF_unit_Category_ext',X0_'ZF') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'oppositeCategory$c' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'oppositeCategory$c'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'cod_update$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun'] : % 3.38/1.28 ( iProver_Flat_'cod_update$'(X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun'=iProver_Domain_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'lSCategory_ext$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_c_LSCategory_ext',X0_'B_ZF_fun',X0_'C'] : % 3.38/1.28 ( iProver_Flat_'lSCategory_ext$'(X0_'B_c_LSCategory_ext',X0_'B_ZF_fun',X0_'C') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_c_LSCategory_ext'=iProver_Domain_'B_c_LSCategory_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'identityFunctor$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'identityFunctor$a'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'collect$h' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_b_fun_set',X0_'A_b_fun_bool_fun'] : % 3.38/1.28 ( iProver_Flat_'collect$h'(X0_'A_b_fun_set',X0_'A_b_fun_bool_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_b_fun_set'=iProver_Domain_'A_b_fun_set'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'comp$b' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X2_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'comp$b'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X2_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'functor$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun'] : % 3.38/1.28 ( iProver_Flat_'functor$'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'mor_update$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun',X0_'ZF_set_ZF_set_fun'] : % 3.38/1.28 ( iProver_Flat_'mor_update$'(X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun',X0_'ZF_set_ZF_set_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun'=iProver_Domain_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'catCod$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'Unit_unit_unit_Category_ext',X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext'] : % 3.38/1.28 ( iProver_Flat_'catCod$a'(X0_'Unit_unit_unit_Category_ext',X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'Unit_unit_unit_Category_ext'=iProver_Domain_'Unit_unit_unit_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'natTransMap$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'natTransMap$a'(X0_'ZF_ZF_fun',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'cod$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_a_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'cod$a'(X0_'B_a_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_a_fun'=iProver_Domain_'B_a_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'makeFtor$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun'] : % 3.38/1.28 ( iProver_Flat_'makeFtor$'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'natTransExt$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun'] : % 3.38/1.28 ( iProver_Flat_'natTransExt$a'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'nTCatCod$e' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext',X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'nTCatCod$e'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext',X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'fun_app$w' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun',X1_'ZF_ZF_unit_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'fun_app$w'(X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun',X1_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'mapO$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A',X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext',X0_'ZF'] : % 3.38/1.28 ( iProver_Flat_'mapO$'(X0_'A',X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext',X0_'ZF') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'nTDom$b' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext',X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'nTDom$b'(X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext',X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext'=iProver_Domain_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'nTCod$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun'] : % 3.38/1.28 ( iProver_Flat_'nTCod$'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'uul$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A'] : % 3.38/1.28 ( iProver_Flat_'uul$'(X0_'B_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_ZF_fun'=iProver_Domain_'B_ZF_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'identityFunctor$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'identityFunctor$'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'restrict$e' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_b_fun',X1_'A_b_fun',X0_'A_set'] : % 3.38/1.28 ( iProver_Flat_'restrict$e'(X0_'A_b_fun',X1_'A_b_fun',X0_'A_set') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_b_fun'=iProver_Domain_'A_b_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'category_ext$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [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'] : % 3.38/1.28 ( iProver_Flat_'category_ext$a'(X0_'ZF_ZF_unit_Category_ext',X0_'ZF_set',X1_'ZF_set',X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X2_'ZF_ZF_fun',X0_'ZF_ZF_ZF_fun_fun',X0_'Unit') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'constFunctor$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [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'] : % 3.38/1.28 ( iProver_Flat_'constFunctor$'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'ZF_ZF_unit_Category_ext',X0_'ZF') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'homFtorMap$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A'] : % 3.38/1.28 ( iProver_Flat_'homFtorMap$'(X0_'B_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_ZF_fun'=iProver_Domain_'B_ZF_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'collect$f' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_a_fun_set',X0_'B_a_fun_bool_fun'] : % 3.38/1.28 ( iProver_Flat_'collect$f'(X0_'B_a_fun_set',X0_'B_a_fun_bool_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_a_fun_set'=iProver_Domain_'B_a_fun_set'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'makeNT$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'makeNT$a'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'inverse$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'inverse$'(X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'uuv$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_fun'] : % 3.38/1.28 ( iProver_Flat_'uuv$'(X0_'ZF_ZF_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'restrict$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod'] : % 3.38/1.28 ( iProver_Flat_'restrict$'(X0_'ZF',X0_'ZF_ZF_prod_ZF_fun',X0_'ZF_ZF_prod_set',X0_'ZF_ZF_prod') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'fun_app$t' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X0_'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun',X0_'B'] : % 3.38/1.28 ( iProver_Flat_'fun_app$t'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X0_'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun',X0_'B') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'extensional$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_fun_set',X0_'A_set'] : % 3.38/1.28 ( iProver_Flat_'extensional$a'(X0_'A_ZF_fun_set',X0_'A_set') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_fun_set'=iProver_Domain_'A_ZF_fun_set'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'functorExt$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun'] : % 3.38/1.28 ( iProver_Flat_'functorExt$a'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'fun_app$x' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.28 ( iProver_Flat_'fun_app$x'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'collect$j' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun'] : % 3.38/1.28 ( iProver_Flat_'collect$j'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'uub$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_bool_fun',X0_'A_set'] : % 3.38/1.28 ( iProver_Flat_'uub$'(X0_'A_bool_fun',X0_'A_set') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_bool_fun'=iProver_Domain_'A_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'fun_app$af' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun',X1_'ZF_ZF_ZF_fun_fun'] : % 3.38/1.28 ( iProver_Flat_'fun_app$af'(X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun',X1_'ZF_ZF_ZF_fun_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'uux$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_b_b_fun_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'uux$'(X0_'B_b_b_fun_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_b_b_fun_fun'=iProver_Domain_'B_b_b_fun_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'uui$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set'] : % 3.38/1.28 ( iProver_Flat_'uui$'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'dom$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_a_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'dom$'(X0_'B_a_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_a_fun'=iProver_Domain_'B_a_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'more$d' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_c_LSCategory_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'more$d'(X0_'B_c_LSCategory_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_c_LSCategory_ext'=iProver_Domain_'B_c_LSCategory_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'zFfunDom$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_fun'] : % 3.38/1.28 ( iProver_Flat_'zFfunDom$'(X0_'ZF_ZF_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'natTransP$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun'] : % 3.38/1.28 ( iProver_Flat_'natTransP$a'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'zFfunApp$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_fun_fun'] : % 3.38/1.28 ( iProver_Flat_'zFfunApp$'(X0_'ZF_ZF_ZF_fun_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'collect$c' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_set',X0_'ZF_bool_fun'] : % 3.38/1.28 ( iProver_Flat_'collect$c'(X0_'ZF_set',X0_'ZF_bool_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'fun_app$ae' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_set',X0_'B_set_b_set_fun',X1_'B_set'] : % 3.38/1.28 ( iProver_Flat_'fun_app$ae'(X0_'B_set',X0_'B_set_b_set_fun',X1_'B_set') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'mapM$f' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'B'] : % 3.38/1.28 ( iProver_Flat_'mapM$f'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'B') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'isomorphism$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_bool_fun',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'isomorphism$a'(X0_'ZF_bool_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'nTCod_update$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_fun',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'nTCod_update$'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_fun',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'hOMCollection$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_set',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A',X1_'A'] : % 3.38/1.28 ( iProver_Flat_'hOMCollection$'(X0_'ZF_set',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A',X1_'A') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'uuw$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_b_prod_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'uuw$'(X0_'B_b_prod_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_b_prod_bool_fun'=iProver_Domain_'B_b_prod_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'uuh$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_b_prod_bool_fun',X0_'B_b_prod_set'] : % 3.38/1.28 ( iProver_Flat_'uuh$'(X0_'B_b_prod_bool_fun',X0_'B_b_prod_set') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_b_prod_bool_fun'=iProver_Domain_'B_b_prod_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'functorM_axioms$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun'] : % 3.38/1.28 ( iProver_Flat_'functorM_axioms$a'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'comp$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'comp$'(X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'isomorphism$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'isomorphism$'(X0_'B_bool_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'fun_app$o' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF',X0_'B_ZF_fun',X0_'B'] : % 3.38/1.28 ( iProver_Flat_'fun_app$o'(X0_'ZF',X0_'B_ZF_fun',X0_'B') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'catDom$e' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext'] : % 3.38/1.28 ( iProver_Flat_'catDom$e'(X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'inverse$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext',X1_'B'] : % 3.38/1.28 ( iProver_Flat_'inverse$a'(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext',X1_'B') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'mapM$b' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'] : % 3.38/1.28 ( iProver_Flat_'mapM$b'(X0_'ZF_ZF_fun',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'fun_app$ad' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set'] : % 3.38/1.28 ( iProver_Flat_'fun_app$ad'(X0_'ZF_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'fun_app$aa' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'Unit',X0_'Unit_unit_fun',X1_'Unit'] : % 3.38/1.28 ( iProver_Flat_'fun_app$aa'(X0_'Unit',X0_'Unit_unit_fun',X1_'Unit') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'Unit'=iProver_Domain_'Unit'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'obj$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'obj$'(X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'homFtorMapContra$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B'] : % 3.38/1.28 ( iProver_Flat_'homFtorMapContra$'(X0_'A_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_fun'=iProver_Domain_'A_ZF_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'elem$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_bool_fun',X0_'ZF'] : % 3.38/1.28 ( iProver_Flat_'elem$'(X0_'ZF_bool_fun',X0_'ZF') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'comp$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_b_b_fun_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'comp$a'(X0_'B_b_b_fun_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_b_b_fun_fun'=iProver_Domain_'B_b_b_fun_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'nTCatCod$f' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'Unit_unit_unit_Category_ext',X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'nTCatCod$f'(X0_'Unit_unit_unit_Category_ext',X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'Unit_unit_unit_Category_ext'=iProver_Domain_'Unit_unit_unit_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'fun_app$v' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.28 ( iProver_Flat_'fun_app$v'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'nTDom$d' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'nTDom$d'(X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext'=iProver_Domain_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'catExp$b' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext',X0_'ZF_ZF_unit_Category_ext',X1_'ZF_ZF_unit_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'catExp$b'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext',X0_'ZF_ZF_unit_Category_ext',X1_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'more_update$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun',X0_'Unit_unit_fun'] : % 3.38/1.28 ( iProver_Flat_'more_update$a'(X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun',X0_'Unit_unit_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun'=iProver_Domain_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'catDom$d' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [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'] : % 3.38/1.28 ( iProver_Flat_'catDom$d'(X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_b_b_c_LSCategory_ext_Category_ext'=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'fun_app$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF',X0_'ZF_ZF_fun',X1_'ZF'] : % 3.38/1.28 ( iProver_Flat_'fun_app$'(X0_'ZF',X0_'ZF_ZF_fun',X1_'ZF') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'comp$d' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X0_'ZF_ZF_fun'] : % 3.38/1.28 ( iProver_Flat_'comp$d'(X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X0_'ZF_ZF_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_fun_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_fun_ZF_ZF_fun_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'mapO$c' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.28 ( iProver_Flat_'mapO$c'(X0_'A_ZF_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_fun'=iProver_Domain_'A_ZF_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'constFunctor$b' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext',X1_'ZF_ZF_unit_Category_ext',X0_'ZF'] : % 3.38/1.28 ( iProver_Flat_'constFunctor$b'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_unit_Category_ext',X1_'ZF_ZF_unit_Category_ext',X0_'ZF') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'collect$i' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun'] : % 3.38/1.28 ( iProver_Flat_'collect$i'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'yFtorNT$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'yFtorNT$a'(X0_'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun'=iProver_Domain_'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'mapsTo$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_bool_fun',X0_'ZF_ZF_unit_Category_ext',X0_'ZF',X1_'ZF'] : % 3.38/1.28 ( iProver_Flat_'mapsTo$a'(X0_'ZF_bool_fun',X0_'ZF_ZF_unit_Category_ext',X0_'ZF',X1_'ZF') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'makeCat$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun'] : % 3.38/1.28 ( iProver_Flat_'makeCat$'(X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun'=iProver_Domain_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'mapM$c' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B',X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext',X0_'ZF'] : % 3.38/1.28 ( iProver_Flat_'mapM$c'(X0_'B',X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext',X0_'ZF') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'mor$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'mor$a'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'extensional$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_fun_set',X0_'ZF_set'] : % 3.38/1.28 ( iProver_Flat_'extensional$'(X0_'ZF_ZF_fun_set',X0_'ZF_set') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_fun_set'=iProver_Domain_'ZF_ZF_fun_set'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'uuu$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_fun'] : % 3.38/1.28 ( iProver_Flat_'uuu$'(X0_'ZF_ZF_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'uug$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_prod_bool_fun',X0_'ZF_ZF_prod_set'] : % 3.38/1.28 ( iProver_Flat_'uug$'(X0_'ZF_ZF_prod_bool_fun',X0_'ZF_ZF_prod_set') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_prod_bool_fun'=iProver_Domain_'ZF_ZF_prod_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'id$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'id$a'(X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'image$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_set_set',X0_'ZF_ZF_set_fun',X0_'ZF_set'] : % 3.38/1.28 ( iProver_Flat_'image$'(X0_'ZF_set_set',X0_'ZF_ZF_set_fun',X0_'ZF_set') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_set_set'=iProver_Domain_'ZF_set_set'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'restrict$b' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_ZF_fun',X1_'B_ZF_fun',X0_'B_set'] : % 3.38/1.28 ( iProver_Flat_'restrict$b'(X0_'B_ZF_fun',X1_'B_ZF_fun',X0_'B_set') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_ZF_fun'=iProver_Domain_'B_ZF_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'uuj$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_b_b_fun_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'uuj$'(X0_'B_b_b_fun_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_b_b_fun_fun'=iProver_Domain_'B_b_b_fun_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'id_update$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun'] : % 3.38/1.28 ( iProver_Flat_'id_update$'(X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun'=iProver_Domain_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'homFtor$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A'] : % 3.38/1.28 ( iProver_Flat_'homFtor$a'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'preFunctor$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun'] : % 3.38/1.28 ( iProver_Flat_'preFunctor$'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'idNatTrans$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'] : % 3.38/1.28 ( iProver_Flat_'idNatTrans$a'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'cod$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'cod$'(X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'pair$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_prod',X0_'ZF',X1_'ZF'] : % 3.38/1.28 ( iProver_Flat_'pair$'(X0_'ZF_ZF_prod',X0_'ZF',X1_'ZF') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_prod'=iProver_Domain_'ZF_ZF_prod'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'nTCod$d' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'nTCod$d'(X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext'=iProver_Domain_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'makeCat$b' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'makeCat$b'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'nTCod$b' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext',X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'nTCod$b'(X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext',X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext'=iProver_Domain_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'homSet$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A'] : % 3.38/1.28 ( iProver_Flat_'homSet$'(X0_'A_ZF_fun',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_fun'=iProver_Domain_'A_ZF_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'uue$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_fun_bool_fun',X0_'A_ZF_fun_set'] : % 3.38/1.28 ( iProver_Flat_'uue$'(X0_'A_ZF_fun_bool_fun',X0_'A_ZF_fun_set') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_fun_bool_fun'=iProver_Domain_'A_ZF_fun_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'collect$g' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_fun_set',X0_'A_ZF_fun_bool_fun'] : % 3.38/1.28 ( iProver_Flat_'collect$g'(X0_'A_ZF_fun_set',X0_'A_ZF_fun_bool_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_fun_set'=iProver_Domain_'A_ZF_fun_set'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'explode$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_set_fun'] : % 3.38/1.28 ( iProver_Flat_'explode$'(X0_'ZF_ZF_set_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_set_fun'=iProver_Domain_'ZF_ZF_set_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'isZFfun$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_bool_fun'] : % 3.38/1.28 ( iProver_Flat_'isZFfun$'(X0_'ZF_bool_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_bool_fun'=iProver_Domain_'ZF_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'fun_app$y' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'fun_app$y'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'mapO$d' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'Unit',X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext',X0_'ZF'] : % 3.38/1.28 ( iProver_Flat_'mapO$d'(X0_'Unit',X0_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext',X0_'ZF') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'Unit'=iProver_Domain_'Unit'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'mor$b' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'mor$b'(X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'nTCatCod$c' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext',X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'nTCatCod$c'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext',X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'natTransComp$e' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext',X1_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext',X2_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'natTransComp$e'(X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext',X1_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext',X2_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext'=iProver_Domain_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'uuc$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_ZF_fun_bool_fun',X0_'B_ZF_fun_set'] : % 3.38/1.28 ( iProver_Flat_'uuc$'(X0_'B_ZF_fun_bool_fun',X0_'B_ZF_fun_set') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_ZF_fun_bool_fun'=iProver_Domain_'B_ZF_fun_bool_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'nTCatCod$b' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'nTCatCod$b'(X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_b_b_c_LSCategory_ext_Category_ext'=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'dom$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'dom$a'(X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'nTCatDom$e' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_'nTCatDom$e'(X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_b_b_c_LSCategory_ext_Category_ext'=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'comp$c' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'Unit_unit_fun',X0_'Unit_unit_unit_Category_ext',X0_'Unit'] : % 3.38/1.28 ( iProver_Flat_'comp$c'(X0_'Unit_unit_fun',X0_'Unit_unit_unit_Category_ext',X0_'Unit') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'Unit_unit_fun'=iProver_Domain_'Unit_unit_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'natTransComp$c' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun'] : % 3.38/1.28 ( iProver_Flat_'natTransComp$c'(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'mapO$a' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext',X1_'A'] : % 3.38/1.28 ( iProver_Flat_'mapO$a'(X0_'A',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext',X1_'A') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'mapO$e' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext',X0_'ZF'] : % 3.38/1.28 ( iProver_Flat_'mapO$e'(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext',X0_'ZF') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_'mor$' % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_set',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.28 ( iProver_Flat_'mor$'(X0_'B_set',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_sK31 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_prod'] : % 3.38/1.28 ( iProver_Flat_sK31(X0_'ZF',X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_prod') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_sK32 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_prod'] : % 3.38/1.28 ( iProver_Flat_sK32(X0_'ZF',X0_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_prod') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_sK33 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B_b_prod'] : % 3.38/1.28 ( iProver_Flat_sK33(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B_b_prod') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_sK34 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B_b_prod'] : % 3.38/1.28 ( iProver_Flat_sK34(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'B_b_prod') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_sK35 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_fun',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_fun'] : % 3.38/1.28 ( iProver_Flat_sK35(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_fun',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_sK36 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun'] : % 3.38/1.28 ( iProver_Flat_sK36(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( 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 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_sK37 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_fun',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_fun'] : % 3.38/1.28 ( iProver_Flat_sK37(X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_fun',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_sK38 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun'] : % 3.38/1.28 ( iProver_Flat_sK38(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( 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 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_sK39 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_unit_Category_ext',X1_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun',X1_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun'] : % 3.38/1.28 ( iProver_Flat_sK39(X0_'ZF_ZF_unit_Category_ext',X1_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun',X1_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_sK40 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext',X1_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun',X1_'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun'] : % 3.38/1.28 ( iProver_Flat_sK40(X0_'A_b_b_c_LSCategory_ext_Category_ext',X1_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun',X1_'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_b_b_c_LSCategory_ext_Category_ext'=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_sK41 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_unit_Category_ext',X1_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun',X1_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun'] : % 3.38/1.28 ( iProver_Flat_sK41(X0_'ZF_ZF_unit_Category_ext',X1_'ZF_ZF_unit_Category_ext',X0_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun',X1_'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_unit_Category_ext'=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_sK42 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_b_b_c_LSCategory_ext_Category_ext',X1_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun',X1_'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun'] : % 3.38/1.28 ( iProver_Flat_sK42(X0_'A_b_b_c_LSCategory_ext_Category_ext',X1_'A_b_b_c_LSCategory_ext_Category_ext',X0_'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun',X1_'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_b_b_c_LSCategory_ext_Category_ext'=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_sK43 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B',X0_'B_bool_fun',X1_'B_bool_fun'] : % 3.38/1.28 ( iProver_Flat_sK43(X0_'B',X0_'B_bool_fun',X1_'B_bool_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_sK44 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun'] : % 3.38/1.28 ( iProver_Flat_sK44(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( 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 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_sK45 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun'] : % 3.38/1.28 ( iProver_Flat_sK45(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_sK46 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF_ZF_prod',X0_'ZF_ZF_prod_bool_fun',X1_'ZF_ZF_prod_bool_fun'] : % 3.38/1.28 ( iProver_Flat_sK46(X0_'ZF_ZF_prod',X0_'ZF_ZF_prod_bool_fun',X1_'ZF_ZF_prod_bool_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF_ZF_prod'=iProver_Domain_'ZF_ZF_prod'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_sK47 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'B_b_prod',X0_'B_b_prod_bool_fun',X1_'B_b_prod_bool_fun'] : % 3.38/1.28 ( iProver_Flat_sK47(X0_'B_b_prod',X0_'B_b_prod_bool_fun',X1_'B_b_prod_bool_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'B_b_prod'=iProver_Domain_'B_b_prod'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_sK48 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF',X0_'ZF_bool_fun',X1_'ZF_bool_fun'] : % 3.38/1.28 ( iProver_Flat_sK48(X0_'ZF',X0_'ZF_bool_fun',X1_'ZF_bool_fun') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_sK49 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_sK49(X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_sK50 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_sK50(X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_sK51 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_sK51(X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_sK52 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_sK52(X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_sK53 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_sK53(X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext',X1_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_sK54 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_sK54(X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_sK55 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_sK55(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( 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 ) % 3.38/1.28 ) % 3.38/1.28 % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ) % 3.38/1.28 ). % 3.38/1.28 % 3.38/1.28 %------ Positive definition of iProver_Flat_sK56 % 3.38/1.28 fof(lit_def,axiom, % 3.38/1.28 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.28 ( iProver_Flat_sK56(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.28 ( % 3.38/1.28 ( % 3.38/1.28 ( 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 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK57 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A_ZF_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK57(X0_'A_ZF_fun',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A_ZF_fun'=iProver_Domain_'A_ZF_fun'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK58 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'Unit',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK58(X0_'Unit',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'Unit'=iProver_Domain_'Unit'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK59 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'Unit',X1_'Unit',X0_'Unit_unit_fun',X1_'Unit_unit_fun'] : % 3.38/1.29 ( iProver_Flat_sK59(X0_'Unit',X1_'Unit',X0_'Unit_unit_fun',X1_'Unit_unit_fun') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'Unit'=iProver_Domain_'Unit'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK60 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK60(X0_'ZF',X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK61 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK61(X0_'ZF',X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK62 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK62(X0_'ZF',X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK63 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK63(X0_'ZF',X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK64 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK64(X0_'ZF',X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK65 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK65(X0_'ZF',X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK66 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK66(X0_'ZF',X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK67 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK67(X0_'ZF',X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK68 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK68(X0_'A',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK69 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK69(X0_'B',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK70 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK70(X0_'A',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK71 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK71(X0_'A',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK72 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK72(X0_'ZF',X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK73 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK73(X0_'ZF',X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK74 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK74(X0_'ZF',X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK75 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK75(X0_'ZF',X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK76 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK76(X0_'A',X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK77 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK77(X0_'B',X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK78 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK78(X0_'A',X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK79 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK79(X0_'A',X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK80 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK80(X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK81 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK81(X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK82 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK82(X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK83 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK83(X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK84 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK84(X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK85 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK85(X0_'B',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK86 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK86(X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK87 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK87(X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK88 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK88(X0_'ZF',X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK89 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK89(X0_'ZF',X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK90 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK90(X0_'ZF',X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK91 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK91(X0_'ZF',X0_'ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK92 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK92(X0_'ZF',X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK93 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK93(X0_'ZF',X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK94 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK94(X0_'ZF',X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK95 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK95(X0_'ZF',X0_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK96 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK96(X0_'A',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK97 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK97(X0_'B',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK98 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK98(X0_'A',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK99 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK99(X0_'A',X0_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK100 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK100(X0_'ZF',X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK101 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK101(X0_'ZF',X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK102 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK102(X0_'ZF',X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK103 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK103(X0_'ZF',X0_'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK104 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK104(X0_'A',X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK105 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK105(X0_'B',X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK106 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK106(X0_'A',X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK107 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK107(X0_'A',X0_'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK108 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK108(X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK109 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK109(X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK110 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK110(X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK111 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK111(X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK112 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK112(X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK113 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK113(X0_'B',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK114 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK114(X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK115 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext'] : % 3.38/1.29 ( iProver_Flat_sK115(X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK116 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'Unit',X1_'Unit',X0_'Unit_unit_fun',X1_'Unit_unit_fun'] : % 3.38/1.29 ( iProver_Flat_sK116(X0_'Unit',X1_'Unit',X0_'Unit_unit_fun',X1_'Unit_unit_fun') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'Unit'=iProver_Domain_'Unit'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK117 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X1_'ZF',X2_'ZF',X3_'ZF'] : % 3.38/1.29 ( iProver_Flat_sK117(X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext',X1_'ZF',X2_'ZF',X3_'ZF') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK118 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A',X1_'A',X0_'ZF'] : % 3.38/1.29 ( iProver_Flat_sK118(X0_'B',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A',X1_'A',X0_'ZF') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK119 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'] : % 3.38/1.29 ( iProver_Flat_sK119(X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK120 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'] : % 3.38/1.29 ( iProver_Flat_sK120(X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK121 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'] : % 3.38/1.29 ( iProver_Flat_sK121(X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK122 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.29 ( iProver_Flat_sK122(X0_'B',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK123 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.29 ( iProver_Flat_sK123(X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK124 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.29 ( iProver_Flat_sK124(X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK125 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'] : % 3.38/1.29 ( iProver_Flat_sK125(X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK126 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'] : % 3.38/1.29 ( iProver_Flat_sK126(X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK127 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'] : % 3.38/1.29 ( iProver_Flat_sK127(X0_'ZF',X0_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK128 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.29 ( iProver_Flat_sK128(X0_'B',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK129 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.29 ( iProver_Flat_sK129(X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK130 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.29 ( iProver_Flat_sK130(X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK131 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'ZF'] : % 3.38/1.29 ( iProver_Flat_sK131(X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'ZF') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK132 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.29 ( iProver_Flat_sK132(X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK133 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.29 ( iProver_Flat_sK133(X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK134 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.29 ( iProver_Flat_sK134(X0_'ZF',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK135 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.29 ( iProver_Flat_sK135(X0_'ZF',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK136 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A',X1_'A',X0_'ZF'] : % 3.38/1.29 ( iProver_Flat_sK136(X0_'B',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A',X1_'A',X0_'ZF') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK137 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'ZF'] : % 3.38/1.29 ( iProver_Flat_sK137(X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'ZF') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK138 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.29 ( iProver_Flat_sK138(X0_'B',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK139 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.29 ( iProver_Flat_sK139(X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK140 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.29 ( iProver_Flat_sK140(X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK141 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.29 ( iProver_Flat_sK141(X0_'B',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK142 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.29 ( iProver_Flat_sK142(X0_'B',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK143 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.29 ( iProver_Flat_sK143(X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK144 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.29 ( iProver_Flat_sK144(X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK145 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.29 ( iProver_Flat_sK145(X0_'B',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK146 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.29 ( iProver_Flat_sK146(X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK147 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.29 ( iProver_Flat_sK147(X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK148 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.29 ( iProver_Flat_sK148(X0_'ZF',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK149 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.29 ( iProver_Flat_sK149(X0_'ZF',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK150 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A'] : % 3.38/1.29 ( iProver_Flat_sK150(X0_'ZF',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK151 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK151(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK152 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK152(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK153 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK153(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK154 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK154(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK155 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK155(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK156 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK156(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK157 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK157(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK158 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK158(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK159 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK159(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK160 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK160(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK161 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK161(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK162 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK162(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK163 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK163(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK164 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK164(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK165 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK165(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK166 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK166(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK167 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK167(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK168 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK168(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK169 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK169(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK170 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK170(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK171 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK171(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK172 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK172(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK173 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK173(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK174 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK174(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK175 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK175(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK176 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK176(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK177 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK177(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK178 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK178(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK179 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK179(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK180 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK180(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK181 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK181(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK182 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK182(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK183 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK183(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK184 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK184(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK185 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK185(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK186 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK186(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK187 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK187(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK188 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK188(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK189 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK189(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK190 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK190(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK191 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK191(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK192 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK192(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK193 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK193(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK194 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK194(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK195 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK195(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK196 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK196(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK197 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK197(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK198 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK198(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK199 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK199(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK200 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK200(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK201 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK201(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK202 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK202(X0_'ZF',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK203 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK203(X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK204 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK204(X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK205 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK205(X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK206 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK206(X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK207 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK207(X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK208 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK208(X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK209 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'Unit',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK209(X0_'Unit',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'Unit'=iProver_Domain_'Unit'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK210 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.29 ( iProver_Flat_sK210(X0_'B',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK211 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.29 ( iProver_Flat_sK211(X0_'B',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK212 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.29 ( iProver_Flat_sK212(X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK213 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.29 ( iProver_Flat_sK213(X0_'B',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK214 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.29 ( iProver_Flat_sK214(X0_'B',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK215 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'] : % 3.38/1.29 ( iProver_Flat_sK215(X0_'A',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK216 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A'] : % 3.38/1.29 ( iProver_Flat_sK216(X0_'ZF',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK217 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext',X1_'ZF'] : % 3.38/1.29 ( iProver_Flat_sK217(X0_'ZF',X0_'ZF_ZF_unit_Category_ext',X1_'ZF') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK218 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X0_'ZF_ZF_unit_Category_ext',X1_'ZF',X2_'ZF'] : % 3.38/1.29 ( iProver_Flat_sK218(X0_'ZF',X0_'ZF_ZF_unit_Category_ext',X1_'ZF',X2_'ZF') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK219 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK219(X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK220 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK220(X0_'ZF_set',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK221 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK221(X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK222 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK222(X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK223 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK223(X0_'ZF_ZF_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK224 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_unit_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK224(X0_'ZF_ZF_ZF_fun_fun',X0_'ZF_ZF_unit_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK225 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X1_'ZF',X0_'ZF_ZF_fun',X1_'ZF_ZF_fun'] : % 3.38/1.29 ( iProver_Flat_sK225(X0_'ZF',X1_'ZF',X0_'ZF_ZF_fun',X1_'ZF_ZF_fun') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK226 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X1_'ZF',X0_'ZF_ZF_fun',X2_'ZF'] : % 3.38/1.29 ( iProver_Flat_sK226(X0_'ZF',X1_'ZF',X0_'ZF_ZF_fun',X2_'ZF') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK227 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X1_'ZF',X2_'ZF'] : % 3.38/1.29 ( iProver_Flat_sK227(X0_'ZF',X1_'ZF',X2_'ZF') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK228 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF',X1_'ZF',X0_'ZF_ZF_fun',X2_'ZF'] : % 3.38/1.29 ( iProver_Flat_sK228(X0_'ZF',X1_'ZF',X0_'ZF_ZF_fun',X2_'ZF') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF'=iProver_Domain_'ZF'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK229 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun'] : % 3.38/1.29 ( iProver_Flat_sK229(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( 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 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK230 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun'] : % 3.38/1.29 ( iProver_Flat_sK230(X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext',X0_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun',X1_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( 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 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK231 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF_set',X1_'ZF_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_ZF_set_fun'] : % 3.38/1.29 ( iProver_Flat_sK231(X0_'ZF_set',X1_'ZF_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_ZF_set_fun') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK232 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF_set',X1_'ZF_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_ZF_set_fun'] : % 3.38/1.29 ( iProver_Flat_sK232(X0_'ZF_set',X1_'ZF_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_ZF_set_fun') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK233 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B_set',X1_'B_set',X0_'B_set_b_set_fun',X1_'B_set_b_set_fun'] : % 3.38/1.29 ( iProver_Flat_sK233(X0_'B_set',X1_'B_set',X0_'B_set_b_set_fun',X1_'B_set_b_set_fun') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK234 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF_set',X1_'ZF_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_ZF_set_fun'] : % 3.38/1.29 ( iProver_Flat_sK234(X0_'ZF_set',X1_'ZF_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_ZF_set_fun') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK235 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B_set',X1_'B_set',X0_'B_set_b_set_fun',X1_'B_set_b_set_fun'] : % 3.38/1.29 ( iProver_Flat_sK235(X0_'B_set',X1_'B_set',X0_'B_set_b_set_fun',X1_'B_set_b_set_fun') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK236 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF_set',X1_'ZF_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_ZF_set_fun'] : % 3.38/1.29 ( iProver_Flat_sK236(X0_'ZF_set',X1_'ZF_set',X0_'ZF_set_ZF_set_fun',X1_'ZF_set_ZF_set_fun') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF_set'=iProver_Domain_'ZF_set'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK237 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [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'] : % 3.38/1.29 ( iProver_Flat_sK237(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') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK238 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [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'] : % 3.38/1.29 ( iProver_Flat_sK238(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') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF_ZF_ZF_fun_fun'=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK239 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun'] : % 3.38/1.29 ( iProver_Flat_sK239(X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK240 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun'] : % 3.38/1.29 ( iProver_Flat_sK240(X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK241 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun'] : % 3.38/1.29 ( iProver_Flat_sK241(X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK242 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun'] : % 3.38/1.29 ( iProver_Flat_sK242(X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK243 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun'] : % 3.38/1.29 ( iProver_Flat_sK243(X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK244 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun'] : % 3.38/1.29 ( iProver_Flat_sK244(X0_'ZF_ZF_fun',X1_'ZF_ZF_fun',X0_'ZF_ZF_fun_ZF_ZF_fun_fun',X1_'ZF_ZF_fun_ZF_ZF_fun_fun') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'ZF_ZF_fun'=iProver_Domain_'ZF_ZF_fun'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK245 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK245(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK246 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK246(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK247 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK247(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK248 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK248(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK249 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK249(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK250 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK250(X0_'B',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'B'=iProver_Domain_'B'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK251 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK251(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % 3.38/1.29 %------ Positive definition of iProver_Flat_sK252 % 3.38/1.29 fof(lit_def,axiom, % 3.38/1.29 (! [X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext'] : % 3.38/1.29 ( iProver_Flat_sK252(X0_'A',X0_'A_b_b_c_LSCategory_ext_Category_ext') <=> % 3.38/1.29 ( % 3.38/1.29 ( % 3.38/1.29 ( X0_'A'=iProver_Domain_'A'_1 ) % 3.38/1.29 ) % 3.38/1.29 % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ) % 3.38/1.29 ). % 3.38/1.29 % SZS output end Model for theBenchmark.p % 3.38/1.29 %------------------------------------------------------------------------------