TSTP Solution File: ITP302_10 by iProver-SAT---3.9
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%------------------------------------------------------------------------------
% File : iProver-SAT---3.9
% Problem : ITP302_10 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d SAT
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:32:21 EDT 2024
% Result : Satisfiable 7.14s 1.65s
% Output : Model 7.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ITP302_10 : TPTP v8.2.0. Released v8.2.0.
% 0.06/0.12 % Command : run_iprover %s %d SAT
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 2 22:13:21 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.45 Running model finding
% 0.18/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --heuristic_context fnt --schedule fnt_schedule /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.14/1.65 % SZS status Started for theBenchmark.p
% 7.14/1.65 % SZS status Satisfiable for theBenchmark.p
% 7.14/1.65
% 7.14/1.65 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.14/1.65
% 7.14/1.65 ------ iProver source info
% 7.14/1.65
% 7.14/1.65 git: date: 2024-05-02 19:28:25 +0000
% 7.14/1.65 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.14/1.65 git: non_committed_changes: false
% 7.14/1.65
% 7.14/1.65 ------ Parsing...
% 7.14/1.65 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.14/1.65 ------ Proving...
% 7.14/1.65 ------ Problem Properties
% 7.14/1.65
% 7.14/1.65
% 7.14/1.65 clauses 1323
% 7.14/1.65 conjectures 0
% 7.14/1.65 EPR 31
% 7.14/1.65 Horn 1135
% 7.14/1.65 unary 324
% 7.14/1.65 binary 611
% 7.14/1.65 lits 3013
% 7.14/1.65 lits eq 712
% 7.14/1.65 fd_pure 1
% 7.14/1.65 fd_pseudo 0
% 7.14/1.65 fd_cond 1
% 7.14/1.65 fd_pseudo_cond 80
% 7.14/1.65 AC symbols 0
% 7.14/1.65
% 7.14/1.65 ------ Input Options Time Limit: Unbounded
% 7.14/1.65
% 7.14/1.65
% 7.14/1.65 ------ Finite Models:
% 7.14/1.65
% 7.14/1.65 ------ lit_activity_flag true
% 7.14/1.65
% 7.14/1.65
% 7.14/1.65 ------ Trying domains of size >= : 1
% 7.14/1.65 ------
% 7.14/1.65 Current options:
% 7.14/1.65 ------
% 7.14/1.65
% 7.14/1.65 ------ Input Options
% 7.14/1.65
% 7.14/1.65 --out_options all
% 7.14/1.65 --tptp_safe_out true
% 7.14/1.65 --problem_path ""
% 7.14/1.65 --include_path ""
% 7.14/1.65 --clausifier res/vclausify_rel
% 7.14/1.65 --clausifier_options --mode tclausify -t 300.00 --show_fool true -updr off
% 7.14/1.65 --stdin false
% 7.14/1.65 --proof_out true
% 7.14/1.65 --proof_dot_file ""
% 7.14/1.65 --proof_reduce_dot []
% 7.14/1.65 --suppress_sat_res false
% 7.14/1.65 --suppress_unsat_res true
% 7.14/1.65 --stats_out none
% 7.14/1.65 --stats_mem false
% 7.14/1.65 --theory_stats_out false
% 7.14/1.65
% 7.14/1.65 ------ General Options
% 7.14/1.65
% 7.14/1.65 --fof false
% 7.14/1.65 --time_out_real 300.
% 7.14/1.65 --time_out_virtual -1.
% 7.14/1.65 --rnd_seed 13
% 7.14/1.65 --symbol_type_check false
% 7.14/1.65 --clausify_out false
% 7.14/1.65 --sig_cnt_out false
% 7.14/1.65 --trig_cnt_out false
% 7.14/1.65 --trig_cnt_out_tolerance 1.
% 7.14/1.65 --trig_cnt_out_sk_spl false
% 7.14/1.65 --abstr_cl_out false
% 7.14/1.65
% 7.14/1.65 ------ Interactive Mode
% 7.14/1.65
% 7.14/1.65 --interactive_mode false
% 7.14/1.65 --external_ip_address ""
% 7.14/1.65 --external_port 0
% 7.14/1.65
% 7.14/1.65 ------ Global Options
% 7.14/1.65
% 7.14/1.65 --schedule none
% 7.14/1.65 --add_important_lit false
% 7.14/1.65 --prop_solver_per_cl 500
% 7.14/1.65 --subs_bck_mult 8
% 7.14/1.65 --min_unsat_core false
% 7.14/1.65 --soft_assumptions false
% 7.14/1.65 --soft_lemma_size 3
% 7.14/1.65 --prop_impl_unit_size 0
% 7.14/1.65 --prop_impl_unit []
% 7.14/1.65 --share_sel_clauses true
% 7.14/1.65 --reset_solvers false
% 7.14/1.65 --bc_imp_inh []
% 7.14/1.65 --conj_cone_tolerance 3.
% 7.14/1.65 --extra_neg_conj none
% 7.14/1.65 --large_theory_mode true
% 7.14/1.65 --prolific_symb_bound 200
% 7.14/1.65 --lt_threshold 2000
% 7.14/1.65 --clause_weak_htbl true
% 7.14/1.65 --gc_record_bc_elim false
% 7.14/1.65
% 7.14/1.65 ------ Preprocessing Options
% 7.14/1.65
% 7.14/1.65 --preprocessing_flag false
% 7.14/1.65 --time_out_prep_mult 0.1
% 7.14/1.65 --splitting_mode input
% 7.14/1.65 --splitting_grd true
% 7.14/1.65 --splitting_cvd false
% 7.14/1.65 --splitting_cvd_svl false
% 7.14/1.65 --splitting_nvd 32
% 7.14/1.65 --sub_typing false
% 7.14/1.65 --prep_eq_flat_conj false
% 7.14/1.65 --prep_eq_flat_all_gr false
% 7.14/1.65 --prep_gs_sim true
% 7.14/1.65 --prep_unflatten true
% 7.14/1.65 --prep_res_sim true
% 7.14/1.65 --prep_sup_sim_all true
% 7.14/1.65 --prep_sup_sim_sup false
% 7.14/1.65 --prep_upred true
% 7.14/1.65 --prep_well_definedness true
% 7.14/1.65 --prep_sem_filter exhaustive
% 7.14/1.65 --prep_sem_filter_out false
% 7.14/1.65 --pred_elim true
% 7.14/1.65 --res_sim_input true
% 7.14/1.65 --eq_ax_congr_red true
% 7.14/1.65 --pure_diseq_elim true
% 7.14/1.65 --brand_transform false
% 7.14/1.65 --non_eq_to_eq false
% 7.14/1.65 --prep_def_merge true
% 7.14/1.65 --prep_def_merge_prop_impl false
% 7.14/1.65 --prep_def_merge_mbd true
% 7.14/1.65 --prep_def_merge_tr_red false
% 7.14/1.65 --prep_def_merge_tr_cl false
% 7.14/1.65 --smt_preprocessing false
% 7.14/1.65 --smt_ac_axioms fast
% 7.14/1.65 --preprocessed_out false
% 7.14/1.65 --preprocessed_stats false
% 7.14/1.65
% 7.14/1.65 ------ Abstraction refinement Options
% 7.14/1.65
% 7.14/1.65 --abstr_ref []
% 7.14/1.65 --abstr_ref_prep false
% 7.14/1.65 --abstr_ref_until_sat false
% 7.14/1.65 --abstr_ref_sig_restrict funpre
% 7.14/1.65 --abstr_ref_af_restrict_to_split_sk false
% 7.14/1.65 --abstr_ref_under []
% 7.14/1.65
% 7.14/1.65 ------ SAT Options
% 7.14/1.65
% 7.14/1.65 --sat_mode true
% 7.14/1.65 --sat_fm_restart_options ""
% 7.14/1.65 --sat_gr_def false
% 7.14/1.65 --sat_epr_types true
% 7.14/1.65 --sat_non_cyclic_types false
% 7.14/1.65 --sat_finite_models true
% 7.14/1.65 --sat_fm_lemmas false
% 7.14/1.65 --sat_fm_prep false
% 7.14/1.65 --sat_fm_uc_incr true
% 7.14/1.65 --sat_out_model pos
% 7.14/1.65 --sat_out_clauses false
% 7.14/1.65
% 7.14/1.65 ------ QBF Options
% 7.14/1.65
% 7.14/1.65 --qbf_mode false
% 7.14/1.65 --qbf_elim_univ false
% 7.14/1.65 --qbf_dom_inst none
% 7.14/1.65 --qbf_dom_pre_inst false
% 7.14/1.65 --qbf_sk_in false
% 7.14/1.65 --qbf_pred_elim true
% 7.14/1.65 --qbf_split 512
% 7.14/1.65
% 7.14/1.65 ------ BMC1 Options
% 7.14/1.65
% 7.14/1.65 --bmc1_incremental false
% 7.14/1.65 --bmc1_axioms reachable_all
% 7.14/1.65 --bmc1_min_bound 0
% 7.14/1.65 --bmc1_max_bound -1
% 7.14/1.65 --bmc1_max_bound_default -1
% 7.14/1.65 --bmc1_symbol_reachability true
% 7.14/1.65 --bmc1_property_lemmas false
% 7.14/1.65 --bmc1_k_induction false
% 7.14/1.65 --bmc1_non_equiv_states false
% 7.14/1.65 --bmc1_deadlock false
% 7.14/1.65 --bmc1_ucm false
% 7.14/1.65 --bmc1_add_unsat_core none
% 7.14/1.65 --bmc1_unsat_core_children false
% 7.14/1.65 --bmc1_unsat_core_extrapolate_axioms false
% 7.14/1.65 --bmc1_out_stat full
% 7.14/1.65 --bmc1_ground_init false
% 7.14/1.65 --bmc1_pre_inst_next_state false
% 7.14/1.65 --bmc1_pre_inst_state false
% 7.14/1.65 --bmc1_pre_inst_reach_state false
% 7.14/1.65 --bmc1_out_unsat_core false
% 7.14/1.65 --bmc1_aig_witness_out false
% 7.14/1.65 --bmc1_verbose false
% 7.14/1.65 --bmc1_dump_clauses_tptp false
% 7.14/1.65 --bmc1_dump_unsat_core_tptp false
% 7.14/1.65 --bmc1_dump_file -
% 7.14/1.65 --bmc1_ucm_expand_uc_limit 128
% 7.14/1.65 --bmc1_ucm_n_expand_iterations 6
% 7.14/1.65 --bmc1_ucm_extend_mode 1
% 7.14/1.65 --bmc1_ucm_init_mode 2
% 7.14/1.65 --bmc1_ucm_cone_mode none
% 7.14/1.65 --bmc1_ucm_reduced_relation_type 0
% 7.14/1.65 --bmc1_ucm_relax_model 4
% 7.14/1.65 --bmc1_ucm_full_tr_after_sat true
% 7.14/1.65 --bmc1_ucm_expand_neg_assumptions false
% 7.14/1.65 --bmc1_ucm_layered_model none
% 7.14/1.65 --bmc1_ucm_max_lemma_size 10
% 7.14/1.65
% 7.14/1.65 ------ AIG Options
% 7.14/1.65
% 7.14/1.65 --aig_mode false
% 7.14/1.65
% 7.14/1.65 ------ Instantiation Options
% 7.14/1.65
% 7.14/1.65 --instantiation_flag true
% 7.14/1.65 --inst_sos_flag false
% 7.14/1.65 --inst_sos_phase true
% 7.14/1.65 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb]
% 7.14/1.65 --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 7.14/1.65 --inst_lit_sel_side num_symb
% 7.14/1.65 --inst_solver_per_active 1400
% 7.14/1.65 --inst_solver_calls_frac 1.
% 7.14/1.65 --inst_to_smt_solver true
% 7.14/1.65 --inst_passive_queue_type priority_queues
% 7.14/1.65 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 7.14/1.65 --inst_passive_queues_freq [25;2]
% 7.14/1.65 --inst_dismatching true
% 7.14/1.65 --inst_eager_unprocessed_to_passive true
% 7.14/1.65 --inst_unprocessed_bound 1000
% 7.14/1.65 --inst_prop_sim_given false
% 7.14/1.65 --inst_prop_sim_new false
% 7.14/1.65 --inst_subs_new false
% 7.14/1.65 --inst_eq_res_simp false
% 7.14/1.65 --inst_subs_given false
% 7.14/1.65 --inst_orphan_elimination true
% 7.14/1.65 --inst_learning_loop_flag true
% 7.14/1.65 --inst_learning_start 3000
% 7.14/1.65 --inst_learning_factor 2
% 7.14/1.65 --inst_start_prop_sim_after_learn 3
% 7.14/1.65 --inst_sel_renew solver
% 7.14/1.65 --inst_lit_activity_flag false
% 7.14/1.65 --inst_restr_to_given false
% 7.14/1.65 --inst_activity_threshold 500
% 7.14/1.65
% 7.14/1.65 ------ Resolution Options
% 7.14/1.65
% 7.14/1.65 --resolution_flag false
% 7.14/1.65 --res_lit_sel adaptive
% 7.14/1.65 --res_lit_sel_side none
% 7.14/1.65 --res_ordering kbo
% 7.14/1.65 --res_to_prop_solver active
% 7.14/1.65 --res_prop_simpl_new false
% 7.14/1.65 --res_prop_simpl_given true
% 7.14/1.65 --res_to_smt_solver true
% 7.14/1.65 --res_passive_queue_type priority_queues
% 7.14/1.65 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 7.14/1.65 --res_passive_queues_freq [15;5]
% 7.14/1.65 --res_forward_subs full
% 7.14/1.65 --res_backward_subs full
% 7.14/1.65 --res_forward_subs_resolution true
% 7.14/1.65 --res_backward_subs_resolution true
% 7.14/1.65 --res_orphan_elimination true
% 7.14/1.65 --res_time_limit 300.
% 7.14/1.65
% 7.14/1.65 ------ Superposition Options
% 7.14/1.65
% 7.14/1.65 --superposition_flag false
% 7.14/1.65 --sup_passive_queue_type priority_queues
% 7.14/1.65 --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]]
% 7.14/1.65 --sup_passive_queues_freq [8;1;4;4]
% 7.14/1.65 --demod_completeness_check fast
% 7.14/1.65 --demod_use_ground true
% 7.14/1.65 --sup_unprocessed_bound 0
% 7.14/1.65 --sup_to_prop_solver passive
% 7.14/1.65 --sup_prop_simpl_new true
% 7.14/1.65 --sup_prop_simpl_given true
% 7.14/1.65 --sup_fun_splitting false
% 7.14/1.65 --sup_iter_deepening 2
% 7.14/1.65 --sup_restarts_mult 12
% 7.14/1.65 --sup_score sim_d_gen
% 7.14/1.65 --sup_share_score_frac 0.2
% 7.14/1.65 --sup_share_max_num_cl 500
% 7.14/1.65 --sup_ordering kbo
% 7.14/1.65 --sup_symb_ordering invfreq
% 7.14/1.65 --sup_term_weight default
% 7.14/1.65
% 7.14/1.65 ------ Superposition Simplification Setup
% 7.14/1.65
% 7.14/1.65 --sup_indices_passive [LightNormIndex;FwDemodIndex]
% 7.14/1.65 --sup_full_triv [SMTSimplify;PropSubs]
% 7.14/1.65 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 7.14/1.65 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 7.14/1.65 --sup_immed_triv []
% 7.14/1.65 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes]
% 7.14/1.65 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes]
% 7.14/1.65 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod]
% 7.14/1.65 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 7.14/1.65 --sup_input_triv [Unflattening;SMTSimplify]
% 7.14/1.65 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 7.14/1.65 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 7.14/1.65 --sup_full_fixpoint true
% 7.14/1.65 --sup_main_fixpoint true
% 7.14/1.65 --sup_immed_fixpoint false
% 7.14/1.65 --sup_input_fixpoint true
% 7.14/1.65 --sup_cache_sim none
% 7.14/1.65 --sup_smt_interval 500
% 7.14/1.65 --sup_bw_gjoin_interval 0
% 7.14/1.65
% 7.14/1.65 ------ Combination Options
% 7.14/1.65
% 7.14/1.65 --comb_mode clause_based
% 7.14/1.65 --comb_inst_mult 5
% 7.14/1.65 --comb_res_mult 1
% 7.14/1.65 --comb_sup_mult 8
% 7.14/1.65 --comb_sup_deep_mult 2
% 7.14/1.65
% 7.14/1.65 ------ Debug Options
% 7.14/1.65
% 7.14/1.65 --dbg_backtrace false
% 7.14/1.65 --dbg_dump_prop_clauses false
% 7.14/1.65 --dbg_dump_prop_clauses_file -
% 7.14/1.65 --dbg_out_stat false
% 7.14/1.65 --dbg_just_parse false
% 7.14/1.65
% 7.14/1.65
% 7.14/1.65
% 7.14/1.65
% 7.14/1.65 ------ Proving...
% 7.14/1.65
% 7.14/1.65
% 7.14/1.65 % SZS status Satisfiable for theBenchmark.p
% 7.14/1.65
% 7.14/1.65 ------ Building Model...Done
% 7.14/1.65
% 7.14/1.65 %------ The model is defined over ground terms (initial term algebra).
% 7.14/1.65 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n))))
% 7.14/1.65 %------ where \phi is a formula over the term algebra.
% 7.14/1.65 %------ If we have equality in the problem then it is also defined as a predicate above,
% 7.14/1.65 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 7.14/1.65 %------ See help for --sat_out_model for different model outputs.
% 7.14/1.65 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 7.14/1.65 %------ where the first argument stands for the sort ($i in the unsorted case)
% 7.14/1.65 % SZS output start Model for theBenchmark.p
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of equality_sorted
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_12,X0_115,X1_115] :
% 7.14/1.65 ( equality_sorted(X0_12,X0_115,X1_115) <=>
% 7.14/1.65 (
% 7.14/1.65 (
% 7.14/1.65 ( X0_12=$o & X1_1=X0_1 )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12='ZF_set_set_ZF_set_fun$' )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12='ZF_ZF_prod_set$' )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12='A_b_b_c_LSCategory_ext_Category_ext$' )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12='A_b_fun$' )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12='ZF$' )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12='ZF_ZF_unit_Category_ext$' )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12='ZF_set$' )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12='ZF_nat_prod_set$' )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12='ZF_ZF_prod$' )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12='ZF_ZF_prod_ZF_fun$' )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12='Unit$' )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12='B_set$' )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12='ZF_ZF_ZF_fun_fun$' )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12='ZF_ZF_fun$' )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12='A$' )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12='B$' )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12='ZF_set_set_ZF_set_set_fun$' )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12='B_a_fun$' )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12='ZF_set_set$' )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12=tlbool )
% 7.14/1.65 &
% 7.14/1.65 ( X0_115!=tltrue | X1_115!=tlfalse )
% 7.14/1.65 &
% 7.14/1.65 ( X0_115!=tlfalse )
% 7.14/1.65 &
% 7.14/1.65 ( X1_115!=tlfalse )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12=tlbool & X0_115=tlfalse & X1_115=tlfalse )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12=tlbool & X1_115=X0_115 )
% 7.14/1.65 &
% 7.14/1.65 ( X0_115!=tlfalse )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12=tlbool & X1_115=tltrue )
% 7.14/1.65 &
% 7.14/1.65 ( X0_115!=tlfalse )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12='B_b_prod$' )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12='A_set$' )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12='ZF_ZF_prod_set_set_ZF_set_fun$' )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12='Nat_set$' )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12='Nat_nat_prod_set$' )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12='Nat_ZF_prod_set$' )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12='ZF_set_ZF_set_prod_set$' )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12='ZF_ZF_set_prod_set$' )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12='ZF_set_ZF_prod_set$' )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12='B_b_b_fun_fun$' )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12='Nat_set_set_ZF_set_set_fun$' )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12='ZF_set_ZF_set_prod$' )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12='ZF_set_ZF_prod$' )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12='B_c_LSCategory_ext$' )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 |
% 7.14/1.65 (
% 7.14/1.65 ( X0_12='ZF_ZF_set_prod$' )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'less_eq$e'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_31,X1_31] :
% 7.14/1.65 ( 'less_eq$e'(X0_31,X1_31) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'functorM$'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_23] :
% 7.14/1.65 ( 'functorM$'(X0_23) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'fun_app$ak'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_100,X0_65] :
% 7.14/1.65 ( 'fun_app$ak'(X0_100,X0_65) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'less_eq$f'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_55,X1_55] :
% 7.14/1.65 ( 'less_eq$f'(X0_55,X1_55) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'lSCategory$'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_27] :
% 7.14/1.65 ( 'lSCategory$'(X0_27) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'less_eq$k'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_187,X1_187] :
% 7.14/1.65 ( 'less_eq$k'(X0_187,X1_187) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'member$l'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_47,X0_98] :
% 7.14/1.65 ( 'member$l'(X0_47,X0_98) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'category$a'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_140] :
% 7.14/1.65 ( 'category$a'(X0_140) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'functorM$b'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_128] :
% 7.14/1.65 ( 'functorM$b'(X0_128) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'category$'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_27] :
% 7.14/1.65 ( 'category$'(X0_27) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'functorM$a'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_62] :
% 7.14/1.65 ( 'functorM$a'(X0_62) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'fun_app$ck'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_186,X0_111] :
% 7.14/1.65 ( 'fun_app$ck'(X0_186,X0_111) <=>
% 7.14/1.65 $false
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'less_eq$m'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_169,X1_169] :
% 7.14/1.65 ( 'less_eq$m'(X0_169,X1_169) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'fun_app$h'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_169,X0_21] :
% 7.14/1.65 ( 'fun_app$h'(X0_169,X0_21) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'functor$b'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_128] :
% 7.14/1.65 ( 'functor$b'(X0_128) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'functor$a'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_23] :
% 7.14/1.65 ( 'functor$a'(X0_23) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'fun_app$f'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_159,X0_175] :
% 7.14/1.65 ( 'fun_app$f'(X0_159,X0_175) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'member$j'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_118,X0_68] :
% 7.14/1.65 ( 'member$j'(X0_118,X0_68) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'lSCategory_axioms$'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_27] :
% 7.14/1.65 ( 'lSCategory_axioms$'(X0_27) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'extCategory$a'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_27] :
% 7.14/1.65 ( 'extCategory$a'(X0_27) <=>
% 7.14/1.65 $false
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'fun_app$ag'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_173,X0_92] :
% 7.14/1.65 ( 'fun_app$ag'(X0_173,X0_92) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'member$g'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_176,X0_14] :
% 7.14/1.65 ( 'member$g'(X0_176,X0_14) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'extCategory$'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_140] :
% 7.14/1.65 ( 'extCategory$'(X0_140) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'category_axioms$'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_27] :
% 7.14/1.65 ( 'category_axioms$'(X0_27) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'functor_abbrev$'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_23,X0_27,X0_140] :
% 7.14/1.65 ( 'functor_abbrev$'(X0_23,X0_27,X0_140) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'functorM$c'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_17] :
% 7.14/1.65 ( 'functorM$c'(X0_17) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'member$f'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_99,X0_103] :
% 7.14/1.65 ( 'member$f'(X0_99,X0_103) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'less_eq$'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_125,X1_125] :
% 7.14/1.65 ( 'less_eq$'(X0_125,X1_125) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'less_eq$j'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_123,X1_123] :
% 7.14/1.65 ( 'less_eq$j'(X0_123,X1_123) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'less_eq$a'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_134,X1_134] :
% 7.14/1.65 ( 'less_eq$a'(X0_134,X1_134) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'fun_app$cl'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_136,X0_131] :
% 7.14/1.65 ( 'fun_app$cl'(X0_136,X0_131) <=>
% 7.14/1.65 $false
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'sup$a'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_174] :
% 7.14/1.65 ( 'sup$a'(X0_174) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'less_eq$l'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_159,X1_159] :
% 7.14/1.65 ( 'less_eq$l'(X0_159,X1_159) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'fun_app$k'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_187,X0_73] :
% 7.14/1.65 ( 'fun_app$k'(X0_187,X0_73) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'member$i'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_131,X0_41] :
% 7.14/1.65 ( 'member$i'(X0_131,X0_41) <=>
% 7.14/1.65 $false
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'less_eq$h'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_70,X1_70] :
% 7.14/1.65 ( 'less_eq$h'(X0_70,X1_70) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'fun_app$al'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_96,X0_118] :
% 7.14/1.65 ( 'fun_app$al'(X0_96,X0_118) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'member$d'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_65,X0_31] :
% 7.14/1.65 ( 'member$d'(X0_65,X0_31) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'less_eq$g'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_170,X1_170] :
% 7.14/1.65 ( 'less_eq$g'(X0_170,X1_170) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'category_axioms$a'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_140] :
% 7.14/1.65 ( 'category_axioms$a'(X0_140) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'preFunctor$a'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_17] :
% 7.14/1.65 ( 'preFunctor$a'(X0_17) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'functor$'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_17] :
% 7.14/1.65 ( 'functor$'(X0_17) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'less_eq$b'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_36,X1_36] :
% 7.14/1.65 ( 'less_eq$b'(X0_36,X1_36) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'fun_app$n'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_123,X0_138] :
% 7.14/1.65 ( 'fun_app$n'(X0_123,X0_138) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'functor$c'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_86] :
% 7.14/1.65 ( 'functor$c'(X0_86) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'member$e'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_92,X0_181] :
% 7.14/1.65 ( 'member$e'(X0_92,X0_181) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'fun_app$j'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_74,X0_36] :
% 7.14/1.65 ( 'fun_app$j'(X0_74,X0_36) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'fun_app$m'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_146,X0_134] :
% 7.14/1.65 ( 'fun_app$m'(X0_146,X0_134) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'preFunctor$'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_128] :
% 7.14/1.65 ( 'preFunctor$'(X0_128) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'member$h'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_111,X0_179] :
% 7.14/1.65 ( 'member$h'(X0_111,X0_179) <=>
% 7.14/1.65 $false
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'fun_app$cj'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_193,X0_176] :
% 7.14/1.65 ( 'fun_app$cj'(X0_193,X0_176) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'fun_app$p'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_191,X0_125] :
% 7.14/1.65 ( 'fun_app$p'(X0_191,X0_125) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of 'fun_app$ci'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_142,X0_99] :
% 7.14/1.65 ( 'fun_app$ci'(X0_142,X0_99) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of sP0
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_27] :
% 7.14/1.65 ( sP0(X0_27) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of sP1
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_27] :
% 7.14/1.65 ( sP1(X0_27) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of sP2
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_27] :
% 7.14/1.65 ( sP2(X0_27) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of sP3
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_27] :
% 7.14/1.65 ( sP3(X0_27) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of sP4
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_27] :
% 7.14/1.65 ( sP4(X0_27) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of sP5
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_140] :
% 7.14/1.65 ( sP5(X0_140) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of sP6
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_140] :
% 7.14/1.65 ( sP6(X0_140) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of sP7
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_140] :
% 7.14/1.65 ( sP7(X0_140) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of sP8
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_140] :
% 7.14/1.65 ( sP8(X0_140) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of sP9
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_140] :
% 7.14/1.65 ( sP9(X0_140) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of sP10
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_27] :
% 7.14/1.65 ( sP10(X0_27) <=>
% 7.14/1.65 $false
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of sP11
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_27] :
% 7.14/1.65 ( sP11(X0_27) <=>
% 7.14/1.65 $false
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of sP12
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_27] :
% 7.14/1.65 ( sP12(X0_27) <=>
% 7.14/1.65 $false
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of sP13
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_27] :
% 7.14/1.65 ( sP13(X0_27) <=>
% 7.14/1.65 $false
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of sP14
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_140] :
% 7.14/1.65 ( sP14(X0_140) <=>
% 7.14/1.65 $false
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of sP15
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_140] :
% 7.14/1.65 ( sP15(X0_140) <=>
% 7.14/1.65 $false
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of sP16
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_140] :
% 7.14/1.65 ( sP16(X0_140) <=>
% 7.14/1.65 $false
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of sP17
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_140] :
% 7.14/1.65 ( sP17(X0_140) <=>
% 7.14/1.65 $false
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of sP18
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_27] :
% 7.14/1.65 ( sP18(X0_27) <=>
% 7.14/1.65 $true
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of sP19
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_27] :
% 7.14/1.65 ( sP19(X0_27) <=>
% 7.14/1.65 $false
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of iProver_Flat_'sup$'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_119] :
% 7.14/1.65 ( iProver_Flat_'sup$'(X0_119) <=>
% 7.14/1.65 (
% 7.14/1.65 (
% 7.14/1.65 ( X0_119=iProver_Domain_'ZF_set_set_ZF_set_fun'_1 )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of iProver_Flat_'image$ai'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_31,X0_51,X0_71] :
% 7.14/1.65 ( iProver_Flat_'image$ai'(X0_31,X0_51,X0_71) <=>
% 7.14/1.65 (
% 7.14/1.65 (
% 7.14/1.65 ( X0_31=iProver_Domain_'ZF_ZF_prod_set'_1 )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of iProver_Flat_'mor_update$a'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_27,X0_155,X1_27] :
% 7.14/1.65 ( iProver_Flat_'mor_update$a'(X0_27,X0_155,X1_27) <=>
% 7.14/1.65 (
% 7.14/1.65 (
% 7.14/1.65 ( X0_27=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext'_1 )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of iProver_Flat_'id$'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_131,X0_27] :
% 7.14/1.65 ( iProver_Flat_'id$'(X0_131,X0_27) <=>
% 7.14/1.65 (
% 7.14/1.65 (
% 7.14/1.65 ( X0_131=iProver_Domain_'A_b_fun'_1 )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of iProver_Flat_'fun_app$ah'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_173,X0_26,X0_175] :
% 7.14/1.65 ( iProver_Flat_'fun_app$ah'(X0_173,X0_26,X0_175) <=>
% 7.14/1.65 (
% 7.14/1.65 (
% 7.14/1.65 ( X0_173=iProver_Domain_'Nat_bool_fun'_1 )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of iProver_Flat_'catDom$a'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_140,X0_17] :
% 7.14/1.65 ( iProver_Flat_'catDom$a'(X0_140,X0_17) <=>
% 7.14/1.65 (
% 7.14/1.65 (
% 7.14/1.65 ( X0_140=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of iProver_Flat_'uxn$'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_60,X0_31] :
% 7.14/1.65 ( iProver_Flat_'uxn$'(X0_60,X0_31) <=>
% 7.14/1.65 (
% 7.14/1.65 (
% 7.14/1.65 ( X0_60=iProver_Domain_'ZF_ZF_ZF_prod_set_fun'_1 )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of iProver_Flat_'sigma$b'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_116,X0_21,X0_24] :
% 7.14/1.65 ( iProver_Flat_'sigma$b'(X0_116,X0_21,X0_24) <=>
% 7.14/1.65 (
% 7.14/1.65 (
% 7.14/1.65 ( X0_116=iProver_Domain_'ZF_nat_prod_set'_1 )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of iProver_Flat_'fun_app$bv'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_152,X0_81,X0_65] :
% 7.14/1.65 ( iProver_Flat_'fun_app$bv'(X0_152,X0_81,X0_65) <=>
% 7.14/1.65 (
% 7.14/1.65 (
% 7.14/1.65 ( X0_152=iProver_Domain_'Nat_ZF_ZF_set_prod_fun'_1 )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of iProver_Flat_'uxj$'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_59] :
% 7.14/1.65 ( iProver_Flat_'uxj$'(X0_59) <=>
% 7.14/1.65 (
% 7.14/1.65 (
% 7.14/1.65 ( X0_59=iProver_Domain_'ZF_ZF_ZF_ZF_prod_fun_fun'_1 )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of iProver_Flat_'relInvImage$b'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_71,X0_31,X1_31,X0_47] :
% 7.14/1.65 ( iProver_Flat_'relInvImage$b'(X0_71,X0_31,X1_31,X0_47) <=>
% 7.14/1.65 (
% 7.14/1.65 (
% 7.14/1.65 ( X0_71=iProver_Domain_'ZF_ZF_prod_ZF_ZF_prod_prod_set'_1 )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of iProver_Flat_'c$'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_27] :
% 7.14/1.65 ( iProver_Flat_'c$'(X0_27) <=>
% 7.14/1.65 (
% 7.14/1.65 (
% 7.14/1.65 ( X0_27=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext'_1 )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of iProver_Flat_'image$bg'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_110,X0_185,X0_31] :
% 7.14/1.65 ( iProver_Flat_'image$bg'(X0_110,X0_185,X0_31) <=>
% 7.14/1.65 (
% 7.14/1.65 (
% 7.14/1.65 ( X0_110=iProver_Domain_'ZF_ZF_prod_set_set'_1 )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of iProver_Flat_'relcomp$'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_31,X1_31,X2_31] :
% 7.14/1.65 ( iProver_Flat_'relcomp$'(X0_31,X1_31,X2_31) <=>
% 7.14/1.65 (
% 7.14/1.65 (
% 7.14/1.65 ( X0_31=iProver_Domain_'ZF_ZF_prod_set'_1 )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of iProver_Flat_'uwa$'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_187,X0_176,X0_134,X0_159] :
% 7.14/1.65 ( iProver_Flat_'uwa$'(X0_187,X0_176,X0_134,X0_159) <=>
% 7.14/1.65 (
% 7.14/1.65 (
% 7.14/1.65 ( X0_187=iProver_Domain_'B_bool_fun'_1 )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of iProver_Flat_'vah$'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_75] :
% 7.14/1.65 ( iProver_Flat_'vah$'(X0_75) <=>
% 7.14/1.65 (
% 7.14/1.65 (
% 7.14/1.65 ( X0_75=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of iProver_Flat_'mapO$a'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_158,X0_62] :
% 7.14/1.65 ( iProver_Flat_'mapO$a'(X0_158,X0_62) <=>
% 7.14/1.65 (
% 7.14/1.65 (
% 7.14/1.65 ( X0_158=iProver_Domain_'A_a_fun'_1 )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of iProver_Flat_'uwl$'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_159,X0_47,X0_31] :
% 7.14/1.65 ( iProver_Flat_'uwl$'(X0_159,X0_47,X0_31) <=>
% 7.14/1.65 (
% 7.14/1.65 (
% 7.14/1.65 ( X0_159=iProver_Domain_'ZF_bool_fun'_1 )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of iProver_Flat_'unitFunctor$'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_86,X0_140] :
% 7.14/1.65 ( iProver_Flat_'unitFunctor$'(X0_86,X0_140) <=>
% 7.14/1.65 (
% 7.14/1.65 (
% 7.14/1.65 ( X0_86=iProver_Domain_'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext'_1 )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of iProver_Flat_'vas$'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_114,X0_144,X0_87] :
% 7.14/1.65 ( iProver_Flat_'vas$'(X0_114,X0_144,X0_87) <=>
% 7.14/1.65 (
% 7.14/1.65 (
% 7.14/1.65 ( X0_114=iProver_Domain_'Nat_ZF_set_fun'_1 )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of iProver_Flat_'fun_app$b'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_99,X0_75,X0_175] :
% 7.14/1.65 ( iProver_Flat_'fun_app$b'(X0_99,X0_75,X0_175) <=>
% 7.14/1.65 (
% 7.14/1.65 (
% 7.14/1.65 ( X0_99=iProver_Domain_'ZF_ZF_fun'_1 )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of iProver_Flat_'uyt$'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_102,X0_114] :
% 7.14/1.65 ( iProver_Flat_'uyt$'(X0_102,X0_114) <=>
% 7.14/1.65 (
% 7.14/1.65 (
% 7.14/1.65 ( X0_102=iProver_Domain_'Nat_set_ZF_set_fun'_1 )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of iProver_Flat_'constFunctor$'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_62,X0_27,X1_27,X0_138] :
% 7.14/1.65 ( iProver_Flat_'constFunctor$'(X0_62,X0_27,X1_27,X0_138) <=>
% 7.14/1.65 (
% 7.14/1.65 (
% 7.14/1.65 ( X0_62=iProver_Domain_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext'_1 )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of iProver_Flat_'vbb$'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_22,X0_144] :
% 7.14/1.65 ( iProver_Flat_'vbb$'(X0_22,X0_144) <=>
% 7.14/1.65 (
% 7.14/1.65 (
% 7.14/1.65 ( X0_22=iProver_Domain_'Nat_nat_fun_ZF_set_fun'_1 )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of iProver_Flat_'the$a'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_73,X0_187] :
% 7.14/1.65 ( iProver_Flat_'the$a'(X0_73,X0_187) <=>
% 7.14/1.65 (
% 7.14/1.65 (
% 7.14/1.65 ( X0_73=iProver_Domain_'B'_1 )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of iProver_Flat_'mapsTo$'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_123,X0_27,X0_73,X0_138] :
% 7.14/1.65 ( iProver_Flat_'mapsTo$'(X0_123,X0_27,X0_73,X0_138) <=>
% 7.14/1.65 (
% 7.14/1.65 (
% 7.14/1.65 ( X0_123=iProver_Domain_'A_bool_fun'_1 )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of iProver_Flat_'compDefined$'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_194,X0_140] :
% 7.14/1.65 ( iProver_Flat_'compDefined$'(X0_194,X0_140) <=>
% 7.14/1.65 (
% 7.14/1.65 (
% 7.14/1.65 ( X0_194=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of iProver_Flat_'case_prod$'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_47,X0_75] :
% 7.14/1.65 ( iProver_Flat_'case_prod$'(X0_47,X0_75) <=>
% 7.14/1.65 (
% 7.14/1.65 (
% 7.14/1.65 ( X0_47=iProver_Domain_'ZF_ZF_prod_ZF_fun'_1 )
% 7.14/1.65 )
% 7.14/1.65
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 )
% 7.14/1.65 ).
% 7.14/1.65
% 7.14/1.65 %------ Positive definition of iProver_Flat_'uyq$'
% 7.14/1.65 fof(lit_def,axiom,
% 7.14/1.65 (! [X0_114,X1_114,X0_130] :
% 7.14/1.65 ( iProver_Flat_'uyq$'(X0_114,X1_114,X0_130) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_114=iProver_Domain_'Nat_ZF_set_fun'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'sigma$g'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_170,X0_31,X0_61] :
% 7.34/1.65 ( iProver_Flat_'sigma$g'(X0_170,X0_31,X0_61) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_170=iProver_Domain_'ZF_ZF_prod_ZF_prod_set'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'uwx$'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_159,X0_184] :
% 7.34/1.65 ( iProver_Flat_'uwx$'(X0_159,X0_184) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_159=iProver_Domain_'ZF_bool_fun'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'constFunctor$d'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_128,X0_140,X0_27,X0_138] :
% 7.34/1.65 ( iProver_Flat_'constFunctor$d'(X0_128,X0_140,X0_27,X0_138) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_128=iProver_Domain_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'comp$f'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_162,X0_129,X0_119] :
% 7.34/1.65 ( iProver_Flat_'comp$f'(X0_162,X0_129,X0_119) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_162=iProver_Domain_'ZF_set_set_ZF_set_set_fun'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'fun_app$bk'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_138,X0_111,X0_73] :
% 7.34/1.65 ( iProver_Flat_'fun_app$bk'(X0_138,X0_111,X0_73) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'image$z'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_31,X0_13,X0_21] :
% 7.34/1.65 ( iProver_Flat_'image$z'(X0_31,X0_13,X0_21) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_31=iProver_Domain_'ZF_ZF_prod_set'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'extensional$e'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_14,X0_134] :
% 7.34/1.65 ( iProver_Flat_'extensional$e'(X0_14,X0_134) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_14=iProver_Domain_'B_ZF_fun_set'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'uzv$'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_159,X0_194] :
% 7.34/1.65 ( iProver_Flat_'uzv$'(X0_159,X0_194) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_159=iProver_Domain_'ZF_bool_fun'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'member$c'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_191,X0_138] :
% 7.34/1.65 ( iProver_Flat_'member$c'(X0_191,X0_138) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_191=iProver_Domain_'A_set_bool_fun'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'inf$'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_21,X0_36] :
% 7.34/1.65 ( iProver_Flat_'inf$'(X0_21,X0_36) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'sup$h'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_187,X0_77] :
% 7.34/1.65 ( iProver_Flat_'sup$h'(X0_187,X0_77) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_187=iProver_Domain_'B_bool_fun'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'cod_update$'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_140,X0_120,X1_140] :
% 7.34/1.65 ( iProver_Flat_'cod_update$'(X0_140,X0_120,X1_140) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_140=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'member$a'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_74,X0_21] :
% 7.34/1.65 ( iProver_Flat_'member$a'(X0_74,X0_21) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_74=iProver_Domain_'ZF_set_set_bool_fun'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'uyh$'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_40,X0_99,X0_21] :
% 7.34/1.65 ( iProver_Flat_'uyh$'(X0_40,X0_99,X0_21) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_40=iProver_Domain_'ZF_ZF_set_fun'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'extensional$d'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_98,X0_31] :
% 7.34/1.65 ( iProver_Flat_'extensional$d'(X0_98,X0_31) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_98=iProver_Domain_'ZF_ZF_prod_ZF_fun_set'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'fun_app$av'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_31,X0_60,X0_175] :
% 7.34/1.65 ( iProver_Flat_'fun_app$av'(X0_31,X0_60,X0_175) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_31=iProver_Domain_'ZF_ZF_prod_set'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'fun_app$dd'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_177,X0_101,X0_36] :
% 7.34/1.65 ( iProver_Flat_'fun_app$dd'(X0_177,X0_101,X0_36) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_177=iProver_Domain_'ZF_set_set_set'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'sigma$k'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_71,X0_31,X0_185] :
% 7.34/1.65 ( iProver_Flat_'sigma$k'(X0_71,X0_31,X0_185) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_71=iProver_Domain_'ZF_ZF_prod_ZF_ZF_prod_prod_set'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'restrict$a'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_73,X0_153,X0_68,X0_118] :
% 7.34/1.65 ( iProver_Flat_'restrict$a'(X0_73,X0_153,X0_68,X0_118) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'fun_app$ai'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_175,X0_47,X0_65] :
% 7.34/1.65 ( iProver_Flat_'fun_app$ai'(X0_175,X0_47,X0_65) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'uwk$'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_169,X0_40,X0_21] :
% 7.34/1.65 ( iProver_Flat_'uwk$'(X0_169,X0_40,X0_21) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_169=iProver_Domain_'ZF_set_bool_fun'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'fun_app$cr'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_125,X0_127,X0_138] :
% 7.34/1.65 ( iProver_Flat_'fun_app$cr'(X0_125,X0_127,X0_138) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_125=iProver_Domain_'A_set'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'obj_update$'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_27,X0_168,X1_27] :
% 7.34/1.65 ( iProver_Flat_'obj_update$'(X0_27,X0_168,X1_27) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_27=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'uux$'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_123,X0_125,X1_123] :
% 7.34/1.65 ( iProver_Flat_'uux$'(X0_123,X0_125,X1_123) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_123=iProver_Domain_'A_bool_fun'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'image$bq'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_36,X0_22,X0_46] :
% 7.34/1.65 ( iProver_Flat_'image$bq'(X0_36,X0_22,X0_46) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_36=iProver_Domain_'ZF_set_set'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'uwd$'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_123,X0_78,X0_36,X1_123] :
% 7.34/1.65 ( iProver_Flat_'uwd$'(X0_123,X0_78,X0_36,X1_123) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_123=iProver_Domain_'A_bool_fun'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'uyb$'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_19,X0_114,X1_114] :
% 7.34/1.65 ( iProver_Flat_'uyb$'(X0_19,X0_114,X1_114) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_19=iProver_Domain_'Nat_nat_ZF_set_ZF_set_prod_fun_fun'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'uuw$'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_75] :
% 7.34/1.65 ( iProver_Flat_'uuw$'(X0_75) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_75=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'id_update$'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_140,X0_120,X1_140] :
% 7.34/1.65 ( iProver_Flat_'id_update$'(X0_140,X0_120,X1_140) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_140=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'image$e'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_174,X0_191,X0_45] :
% 7.34/1.65 ( iProver_Flat_'image$e'(X0_174,X0_191,X0_45) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_174=iProver_Domain_'Bool_set'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'fun_app$o'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_123,X0_121,X0_125] :
% 7.34/1.65 ( iProver_Flat_'fun_app$o'(X0_123,X0_121,X0_125) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_123=iProver_Domain_'A_bool_fun'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'inverse_rel$'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_187,X0_27,X0_73] :
% 7.34/1.65 ( iProver_Flat_'inverse_rel$'(X0_187,X0_27,X0_73) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_187=iProver_Domain_'B_bool_fun'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'mapO$b'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_99,X0_17] :
% 7.34/1.65 ( iProver_Flat_'mapO$b'(X0_99,X0_17) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_99=iProver_Domain_'ZF_ZF_fun'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'fun_app$co'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_21,X0_76,X0_138] :
% 7.34/1.65 ( iProver_Flat_'fun_app$co'(X0_21,X0_76,X0_138) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'uwp$'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_159,X0_154,X0_36] :
% 7.34/1.65 ( iProver_Flat_'uwp$'(X0_159,X0_154,X0_36) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_159=iProver_Domain_'ZF_bool_fun'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'fun_app$bn'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_60,X0_133,X0_175] :
% 7.34/1.65 ( iProver_Flat_'fun_app$bn'(X0_60,X0_133,X0_175) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_60=iProver_Domain_'ZF_ZF_ZF_prod_set_fun'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'top$b'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_31] :
% 7.34/1.65 ( iProver_Flat_'top$b'(X0_31) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_31=iProver_Domain_'ZF_ZF_prod_set'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'f$'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_73] :
% 7.34/1.65 ( iProver_Flat_'f$'(X0_73) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'uye$'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_185,X0_31] :
% 7.34/1.65 ( iProver_Flat_'uye$'(X0_185,X0_31) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_185=iProver_Domain_'ZF_ZF_prod_ZF_ZF_prod_set_fun'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'comp$g'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_156,X0_119,X0_33] :
% 7.34/1.65 ( iProver_Flat_'comp$g'(X0_156,X0_119,X0_33) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_156=iProver_Domain_'ZF_ZF_prod_set_set_ZF_set_fun'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'sup$j'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_159,X0_183] :
% 7.34/1.65 ( iProver_Flat_'sup$j'(X0_159,X0_183) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_159=iProver_Domain_'ZF_bool_fun'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'image$f'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_145,X0_47] :
% 7.34/1.65 ( iProver_Flat_'image$f'(X0_145,X0_47) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_145=iProver_Domain_'ZF_ZF_prod_set_ZF_set_fun'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'uww$'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_169,X0_114] :
% 7.34/1.65 ( iProver_Flat_'uww$'(X0_169,X0_114) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_169=iProver_Domain_'ZF_set_bool_fun'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'image$'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_94,X0_114] :
% 7.34/1.65 ( iProver_Flat_'image$'(X0_94,X0_114) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_94=iProver_Domain_'Nat_set_ZF_set_set_fun'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'fun_app$aa'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_114,X0_144,X0_92] :
% 7.34/1.65 ( iProver_Flat_'fun_app$aa'(X0_114,X0_144,X0_92) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_114=iProver_Domain_'Nat_ZF_set_fun'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'fun_app$cg'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_181,X0_63,X0_65] :
% 7.34/1.65 ( iProver_Flat_'fun_app$cg'(X0_181,X0_63,X0_65) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_181=iProver_Domain_'Nat_set'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'top$e'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_72] :
% 7.34/1.65 ( iProver_Flat_'top$e'(X0_72) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_72=iProver_Domain_'Nat_nat_prod_set'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'top$d'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_30] :
% 7.34/1.65 ( iProver_Flat_'top$d'(X0_30) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_30=iProver_Domain_'Nat_ZF_prod_set'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'image$ac'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_42,X0_132,X0_116] :
% 7.34/1.65 ( iProver_Flat_'image$ac'(X0_42,X0_132,X0_116) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_42=iProver_Domain_'ZF_set_ZF_set_prod_set'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'converse$'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_31,X1_31] :
% 7.34/1.65 ( iProver_Flat_'converse$'(X0_31,X1_31) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_31=iProver_Domain_'ZF_ZF_prod_set'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'uwv$'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_159,X0_99] :
% 7.34/1.65 ( iProver_Flat_'uwv$'(X0_159,X0_99) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_159=iProver_Domain_'ZF_bool_fun'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'uzb$'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_114,X0_189,X0_21] :
% 7.34/1.65 ( iProver_Flat_'uzb$'(X0_114,X0_189,X0_21) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_114=iProver_Domain_'Nat_ZF_set_fun'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'uxi$'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_40,X0_21] :
% 7.34/1.65 ( iProver_Flat_'uxi$'(X0_40,X0_21) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_40=iProver_Domain_'ZF_ZF_set_fun'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'uxl$'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_40,X0_194] :
% 7.34/1.65 ( iProver_Flat_'uxl$'(X0_40,X0_194) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_40=iProver_Domain_'ZF_ZF_set_fun'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'fun_app$bf'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_175,X0_167,X0_138] :
% 7.34/1.65 ( iProver_Flat_'fun_app$bf'(X0_175,X0_167,X0_138) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'uur$'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_99] :
% 7.34/1.65 ( iProver_Flat_'uur$'(X0_99) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_99=iProver_Domain_'ZF_ZF_fun'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'uxh$'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_40,X0_159] :
% 7.34/1.65 ( iProver_Flat_'uxh$'(X0_40,X0_159) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_40=iProver_Domain_'ZF_ZF_set_fun'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'comp$j'
% 7.34/1.65 fof(lit_def,axiom,
% 7.34/1.65 (! [X0_119,X0_38,X1_119] :
% 7.34/1.65 ( iProver_Flat_'comp$j'(X0_119,X0_38,X1_119) <=>
% 7.34/1.65 (
% 7.34/1.65 (
% 7.34/1.65 ( X0_119=iProver_Domain_'ZF_set_set_ZF_set_fun'_1 )
% 7.34/1.65 )
% 7.34/1.65
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 )
% 7.34/1.65 ).
% 7.34/1.65
% 7.34/1.65 %------ Positive definition of iProver_Flat_'gr$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_55,X0_21,X0_40] :
% 7.34/1.66 ( iProver_Flat_'gr$'(X0_55,X0_21,X0_40) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_55=iProver_Domain_'ZF_ZF_set_prod_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'comp$e'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_162,X0_91,X0_101] :
% 7.34/1.66 ( iProver_Flat_'comp$e'(X0_162,X0_91,X0_101) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_162=iProver_Domain_'ZF_set_set_ZF_set_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uuh$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_194,X0_115,X0_175] :
% 7.34/1.66 ( iProver_Flat_'uuh$'(X0_194,X0_115,X0_175) <=>
% 7.34/1.66 $true
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'sigma$f'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_149,X0_36,X0_38] :
% 7.34/1.66 ( iProver_Flat_'sigma$f'(X0_149,X0_36,X0_38) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_149=iProver_Domain_'ZF_set_ZF_prod_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'sup$i'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_169,X0_35] :
% 7.34/1.66 ( iProver_Flat_'sup$i'(X0_169,X0_35) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_169=iProver_Domain_'ZF_set_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'pair$a'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_118,X0_73,X1_73] :
% 7.34/1.66 ( iProver_Flat_'pair$a'(X0_118,X0_73,X1_73) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_118=iProver_Domain_'B_b_prod'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uyp$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_40,X0_114,X0_24] :
% 7.34/1.66 ( iProver_Flat_'uyp$'(X0_40,X0_114,X0_24) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_40=iProver_Domain_'ZF_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'vao$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_40,X0_189] :
% 7.34/1.66 ( iProver_Flat_'vao$'(X0_40,X0_189) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_40=iProver_Domain_'ZF_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uzn$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_189,X0_114] :
% 7.34/1.66 ( iProver_Flat_'uzn$'(X0_189,X0_114) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_189=iProver_Domain_'Nat_ZF_ZF_set_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'image$m'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_125,X0_111,X0_134] :
% 7.34/1.66 ( iProver_Flat_'image$m'(X0_125,X0_111,X0_134) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_125=iProver_Domain_'A_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uzs$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_40,X1_40,X0_21] :
% 7.34/1.66 ( iProver_Flat_'uzs$'(X0_40,X1_40,X0_21) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_40=iProver_Domain_'ZF_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'extensional$c'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_105,X0_68] :
% 7.34/1.66 ( iProver_Flat_'extensional$c'(X0_105,X0_68) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_105=iProver_Domain_'B_b_prod_b_fun_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uut$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_159] :
% 7.34/1.66 ( iProver_Flat_'uut$'(X0_159) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_159=iProver_Domain_'ZF_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'case_prod$a'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_153,X0_161] :
% 7.34/1.66 ( iProver_Flat_'case_prod$a'(X0_153,X0_161) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_153=iProver_Domain_'B_b_prod_b_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uzp$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_40,X0_114,X0_181] :
% 7.34/1.66 ( iProver_Flat_'uzp$'(X0_40,X0_114,X0_181) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_40=iProver_Domain_'ZF_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'collect$i'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_134,X0_187] :
% 7.34/1.66 ( iProver_Flat_'collect$i'(X0_134,X0_187) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_134=iProver_Domain_'B_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uve$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_114,X0_38,X1_114] :
% 7.34/1.66 ( iProver_Flat_'uve$'(X0_114,X0_38,X1_114) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_114=iProver_Domain_'Nat_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uyc$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_130,X0_181] :
% 7.34/1.66 ( iProver_Flat_'uyc$'(X0_130,X0_181) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_130=iProver_Domain_'Nat_nat_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'sum$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_99] :
% 7.34/1.66 ( iProver_Flat_'sum$'(X0_99) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_99=iProver_Domain_'ZF_ZF_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'image$a'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_129,X0_40] :
% 7.34/1.66 ( iProver_Flat_'image$a'(X0_129,X0_40) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_129=iProver_Domain_'ZF_set_ZF_set_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'image$bc'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_177,X0_93,X0_181] :
% 7.34/1.66 ( iProver_Flat_'image$bc'(X0_177,X0_93,X0_181) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_177=iProver_Domain_'ZF_set_set_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'image$p'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_168,X0_158] :
% 7.34/1.66 ( iProver_Flat_'image$p'(X0_168,X0_158) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_168=iProver_Domain_'A_set_a_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'image$bh'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_37,X0_121,X0_45] :
% 7.34/1.66 ( iProver_Flat_'image$bh'(X0_37,X0_121,X0_45) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_37=iProver_Domain_'A_bool_fun_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$aq'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_75,X0_165,X1_75] :
% 7.34/1.66 ( iProver_Flat_'fun_app$aq'(X0_75,X0_165,X1_75) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_75=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'mor$a'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_21,X0_140] :
% 7.34/1.66 ( iProver_Flat_'mor$a'(X0_21,X0_140) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uxa$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_129,X0_114,X0_181] :
% 7.34/1.66 ( iProver_Flat_'uxa$'(X0_129,X0_114,X0_181) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_129=iProver_Domain_'ZF_set_ZF_set_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'sigma$c'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_30,X0_181,X0_114] :
% 7.34/1.66 ( iProver_Flat_'sigma$c'(X0_30,X0_181,X0_114) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_30=iProver_Domain_'Nat_ZF_prod_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'app$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_75] :
% 7.34/1.66 ( iProver_Flat_'app$'(X0_75) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_75=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'catDom$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_27,X0_62] :
% 7.34/1.66 ( iProver_Flat_'catDom$'(X0_27,X0_62) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_27=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'set$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_140] :
% 7.34/1.66 ( iProver_Flat_'set$'(X0_140) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_140=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uui$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_96,X0_27] :
% 7.34/1.66 ( iProver_Flat_'uui$'(X0_96,X0_27) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_96=iProver_Domain_'B_b_prod_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uuz$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_169,X0_36,X1_169] :
% 7.34/1.66 ( iProver_Flat_'uuz$'(X0_169,X0_36,X1_169) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_169=iProver_Domain_'ZF_set_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uuj$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_100,X0_140] :
% 7.34/1.66 ( iProver_Flat_'uuj$'(X0_100,X0_140) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_100=iProver_Domain_'ZF_ZF_prod_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'extensional$a'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_103,X0_21] :
% 7.34/1.66 ( iProver_Flat_'extensional$a'(X0_103,X0_21) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_103=iProver_Domain_'ZF_ZF_fun_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$ay'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_36,X0_93,X0_92] :
% 7.34/1.66 ( iProver_Flat_'fun_app$ay'(X0_36,X0_93,X0_92) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_36=iProver_Domain_'ZF_set_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uzg$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_114,X0_144,X0_181] :
% 7.34/1.66 ( iProver_Flat_'uzg$'(X0_114,X0_144,X0_181) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_114=iProver_Domain_'Nat_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'sigma$e'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_107,X0_21,X0_60] :
% 7.34/1.66 ( iProver_Flat_'sigma$e'(X0_107,X0_21,X0_60) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_107=iProver_Domain_'ZF_ZF_ZF_prod_prod_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'unity$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_172] :
% 7.34/1.66 ( iProver_Flat_'unity$'(X0_172) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_172=iProver_Domain_'Unit'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$az'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_65,X0_39,X1_65] :
% 7.34/1.66 ( iProver_Flat_'fun_app$az'(X0_65,X0_39,X1_65) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_65=iProver_Domain_'ZF_ZF_prod'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uwr$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_184,X0_47,X0_97] :
% 7.34/1.66 ( iProver_Flat_'uwr$'(X0_184,X0_47,X0_97) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_184=iProver_Domain_'Nat_ZF_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'image$ah'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_42,X0_106,X0_72] :
% 7.34/1.66 ( iProver_Flat_'image$ah'(X0_42,X0_106,X0_72) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_42=iProver_Domain_'ZF_set_ZF_set_prod_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'image$h'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_134,X0_90,X0_21] :
% 7.34/1.66 ( iProver_Flat_'image$h'(X0_134,X0_90,X0_21) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_134=iProver_Domain_'B_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uwt$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_159,X0_47] :
% 7.34/1.66 ( iProver_Flat_'uwt$'(X0_159,X0_47) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_159=iProver_Domain_'ZF_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uyv$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_40,X0_82,X0_21] :
% 7.34/1.66 ( iProver_Flat_'uyv$'(X0_40,X0_82,X0_21) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_40=iProver_Domain_'ZF_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'repl$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_175,X1_175,X0_99] :
% 7.34/1.66 ( iProver_Flat_'repl$'(X0_175,X1_175,X0_99) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'inf$b'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_134,X0_150] :
% 7.34/1.66 ( iProver_Flat_'inf$b'(X0_134,X0_150) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_134=iProver_Domain_'B_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$x'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_36,X0_129,X0_21] :
% 7.34/1.66 ( iProver_Flat_'fun_app$x'(X0_36,X0_129,X0_21) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_36=iProver_Domain_'ZF_set_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'comp$d'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_28,X0_94,X0_50] :
% 7.34/1.66 ( iProver_Flat_'comp$d'(X0_28,X0_94,X0_50) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_28=iProver_Domain_'Nat_set_set_ZF_set_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'val$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_114,X0_64] :
% 7.34/1.66 ( iProver_Flat_'val$'(X0_114,X0_64) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_114=iProver_Domain_'Nat_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'obj_update$a'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_140,X0_38,X1_140] :
% 7.34/1.66 ( iProver_Flat_'obj_update$a'(X0_140,X0_38,X1_140) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_140=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'mor2ZF$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_176,X0_27] :
% 7.34/1.66 ( iProver_Flat_'mor2ZF$'(X0_176,X0_27) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_176=iProver_Domain_'B_ZF_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uva$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_159,X0_21,X1_159] :
% 7.34/1.66 ( iProver_Flat_'uva$'(X0_159,X0_21,X1_159) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_159=iProver_Domain_'ZF_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'comp_update$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_140,X0_165,X1_140] :
% 7.34/1.66 ( iProver_Flat_'comp_update$'(X0_140,X0_165,X1_140) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_140=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uxy$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_114,X0_21] :
% 7.34/1.66 ( iProver_Flat_'uxy$'(X0_114,X0_21) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_114=iProver_Domain_'Nat_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uvg$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_114,X0_40,X0_184] :
% 7.34/1.66 ( iProver_Flat_'uvg$'(X0_114,X0_40,X0_184) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_114=iProver_Domain_'Nat_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uvi$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_47,X1_47,X0_39] :
% 7.34/1.66 ( iProver_Flat_'uvi$'(X0_47,X1_47,X0_39) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_47=iProver_Domain_'ZF_ZF_prod_ZF_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'extensional$b'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_41,X0_125] :
% 7.34/1.66 ( iProver_Flat_'extensional$b'(X0_41,X0_125) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_41=iProver_Domain_'A_b_fun_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$ca'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_151,X0_109,X0_92] :
% 7.34/1.66 ( iProver_Flat_'fun_app$ca'(X0_151,X0_109,X0_92) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_151=iProver_Domain_'ZF_set_ZF_set_prod'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uvb$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_159,X1_159,X2_159] :
% 7.34/1.66 ( iProver_Flat_'uvb$'(X0_159,X1_159,X2_159) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_159=iProver_Domain_'ZF_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'image$bj'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_35,X0_84,X0_177] :
% 7.34/1.66 ( iProver_Flat_'image$bj'(X0_35,X0_84,X0_177) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_35=iProver_Domain_'ZF_set_bool_fun_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$bw'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_108,X0_192,X0_65] :
% 7.34/1.66 ( iProver_Flat_'fun_app$bw'(X0_108,X0_192,X0_65) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_108=iProver_Domain_'ZF_set_ZF_prod'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uuk$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_165,X0_99] :
% 7.34/1.66 ( iProver_Flat_'uuk$'(X0_165,X0_99) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_165=iProver_Domain_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'gr$a'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_170,X0_31,X0_47] :
% 7.34/1.66 ( iProver_Flat_'gr$a'(X0_170,X0_31,X0_47) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_170=iProver_Domain_'ZF_ZF_prod_ZF_prod_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uxb$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_40,X0_47,X0_31] :
% 7.34/1.66 ( iProver_Flat_'uxb$'(X0_40,X0_47,X0_31) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_40=iProver_Domain_'ZF_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'dom_update$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_27,X0_157,X1_27] :
% 7.34/1.66 ( iProver_Flat_'dom_update$'(X0_27,X0_157,X1_27) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_27=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'vaw$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_114,X0_64] :
% 7.34/1.66 ( iProver_Flat_'vaw$'(X0_114,X0_64) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_114=iProver_Domain_'Nat_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$cx'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_21,X0_80,X0_73] :
% 7.34/1.66 ( iProver_Flat_'fun_app$cx'(X0_21,X0_80,X0_73) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'image$az'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_110,X0_60,X0_21] :
% 7.34/1.66 ( iProver_Flat_'image$az'(X0_110,X0_60,X0_21) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_110=iProver_Domain_'ZF_ZF_prod_set_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'vba$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_114,X0_144] :
% 7.34/1.66 ( iProver_Flat_'vba$'(X0_114,X0_144) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_114=iProver_Domain_'Nat_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uvo$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_187,X0_111,X0_134,X0_123] :
% 7.34/1.66 ( iProver_Flat_'uvo$'(X0_187,X0_111,X0_134,X0_123) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_187=iProver_Domain_'B_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'image$as'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_110,X0_178,X0_36] :
% 7.34/1.66 ( iProver_Flat_'image$as'(X0_110,X0_178,X0_36) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_110=iProver_Domain_'ZF_ZF_prod_set_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'comp$h'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_156,X0_145,X0_32] :
% 7.34/1.66 ( iProver_Flat_'comp$h'(X0_156,X0_145,X0_32) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_156=iProver_Domain_'ZF_ZF_prod_set_set_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'identityFunctor$b'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_17,X0_140] :
% 7.34/1.66 ( iProver_Flat_'identityFunctor$b'(X0_17,X0_140) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_17=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'pair$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_13,X0_175] :
% 7.34/1.66 ( iProver_Flat_'pair$'(X0_13,X0_175) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_13=iProver_Domain_'ZF_ZF_ZF_prod_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'case_prod$n'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_122,X0_188] :
% 7.34/1.66 ( iProver_Flat_'case_prod$n'(X0_122,X0_188) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_122=iProver_Domain_'Nat_ZF_prod_ZF_ZF_prod_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uvh$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_61,X0_40,X0_47] :
% 7.34/1.66 ( iProver_Flat_'uvh$'(X0_61,X0_40,X0_47) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_61=iProver_Domain_'ZF_ZF_prod_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'vac$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_56,X0_114] :
% 7.34/1.66 ( iProver_Flat_'vac$'(X0_56,X0_114) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_56=iProver_Domain_'Nat_ZF_bool_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$w'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_21,X0_124,X0_166] :
% 7.34/1.66 ( iProver_Flat_'fun_app$w'(X0_21,X0_124,X0_166) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'vax$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_180,X0_64] :
% 7.34/1.66 ( iProver_Flat_'vax$'(X0_180,X0_64) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_180=iProver_Domain_'Nat_ZF_fun_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'image$an'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_150,X0_190,X0_134] :
% 7.34/1.66 ( iProver_Flat_'image$an'(X0_150,X0_190,X0_134) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_150=iProver_Domain_'B_set_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'obj$a'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_21,X0_140] :
% 7.34/1.66 ( iProver_Flat_'obj$a'(X0_21,X0_140) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uwf$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_169,X0_114,X0_173] :
% 7.34/1.66 ( iProver_Flat_'uwf$'(X0_169,X0_114,X0_173) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_169=iProver_Domain_'ZF_set_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uvr$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_187,X0_53,X0_134,X1_187] :
% 7.34/1.66 ( iProver_Flat_'uvr$'(X0_187,X0_53,X0_134,X1_187) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_187=iProver_Domain_'B_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uwu$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_169,X0_40] :
% 7.34/1.66 ( iProver_Flat_'uwu$'(X0_169,X0_40) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_169=iProver_Domain_'ZF_set_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$aj'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_175,X0_184,X0_92] :
% 7.34/1.66 ( iProver_Flat_'fun_app$aj'(X0_175,X0_184,X0_92) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uzm$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_114,X0_99,X1_114] :
% 7.34/1.66 ( iProver_Flat_'uzm$'(X0_114,X0_99,X1_114) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_114=iProver_Domain_'Nat_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$ct'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_125,X0_66,X0_73] :
% 7.34/1.66 ( iProver_Flat_'fun_app$ct'(X0_125,X0_66,X0_73) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_125=iProver_Domain_'A_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uvu$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_159,X0_112,X0_21,X0_123] :
% 7.34/1.66 ( iProver_Flat_'uvu$'(X0_159,X0_112,X0_21,X0_123) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_159=iProver_Domain_'ZF_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uze$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_114,X0_144,X0_181] :
% 7.34/1.66 ( iProver_Flat_'uze$'(X0_114,X0_144,X0_181) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_114=iProver_Domain_'Nat_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'zFfunCod$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_99] :
% 7.34/1.66 ( iProver_Flat_'zFfunCod$'(X0_99) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_99=iProver_Domain_'ZF_ZF_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'image$ax'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_16,X0_130,X0_181] :
% 7.34/1.66 ( iProver_Flat_'image$ax'(X0_16,X0_130,X0_181) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_16=iProver_Domain_'Nat_set_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uyl$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_194,X0_175] :
% 7.34/1.66 ( iProver_Flat_'uyl$'(X0_194,X0_175) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_194=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'case_prod$l'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_117,X0_20] :
% 7.34/1.66 ( iProver_Flat_'case_prod$l'(X0_117,X0_20) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_117=iProver_Domain_'ZF_ZF_prod_ZF_set_ZF_set_prod_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uun$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_75,X0_140] :
% 7.34/1.66 ( iProver_Flat_'uun$'(X0_75,X0_140) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_75=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$cn'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_36,X0_162,X1_36] :
% 7.34/1.66 ( iProver_Flat_'fun_app$cn'(X0_36,X0_162,X1_36) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_36=iProver_Domain_'ZF_set_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'image$bb'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_177,X0_69,X0_21] :
% 7.34/1.66 ( iProver_Flat_'image$bb'(X0_177,X0_69,X0_21) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_177=iProver_Domain_'ZF_set_set_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uyg$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_59,X0_99,X1_99] :
% 7.34/1.66 ( iProver_Flat_'uyg$'(X0_59,X0_99,X1_99) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_59=iProver_Domain_'ZF_ZF_ZF_ZF_prod_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uug$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_194] :
% 7.34/1.66 ( iProver_Flat_'uug$'(X0_194) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_194=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uzd$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_40,X0_189,X0_181] :
% 7.34/1.66 ( iProver_Flat_'uzd$'(X0_40,X0_189,X0_181) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_40=iProver_Domain_'ZF_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'var$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_114,X0_144] :
% 7.34/1.66 ( iProver_Flat_'var$'(X0_114,X0_144) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_114=iProver_Domain_'Nat_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'homFtor$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_23,X0_27,X0_138] :
% 7.34/1.66 ( iProver_Flat_'homFtor$'(X0_23,X0_27,X0_138) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_23=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'category_ext$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_27,X0_125,X0_134,X0_111,X1_111,X0_131,X0_161,X0_49] :
% 7.34/1.66 ( iProver_Flat_'category_ext$'(X0_27,X0_125,X0_134,X0_111,X1_111,X0_131,X0_161,X0_49) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_27=iProver_Domain_'A_b_b_c_LSCategory_ext_Category_ext'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uxk$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_194,X0_159,X1_194] :
% 7.34/1.66 ( iProver_Flat_'uxk$'(X0_194,X0_159,X1_194) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_194=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'vau$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_40,X0_82] :
% 7.34/1.66 ( iProver_Flat_'vau$'(X0_40,X0_82) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_40=iProver_Domain_'ZF_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$bm'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_138,X0_158,X1_138] :
% 7.34/1.66 ( iProver_Flat_'fun_app$bm'(X0_138,X0_158,X1_138) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uxm$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_52,X0_40,X0_47] :
% 7.34/1.66 ( iProver_Flat_'uxm$'(X0_52,X0_40,X0_47) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_52=iProver_Domain_'ZF_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'vaf$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_169,X0_177] :
% 7.34/1.66 ( iProver_Flat_'vaf$'(X0_169,X0_177) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_169=iProver_Domain_'ZF_set_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'collect$b'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_68,X0_96] :
% 7.34/1.66 ( iProver_Flat_'collect$b'(X0_68,X0_96) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_68=iProver_Domain_'B_b_prod_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uvz$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_159,X0_176,X0_134,X1_159] :
% 7.34/1.66 ( iProver_Flat_'uvz$'(X0_159,X0_176,X0_134,X1_159) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_159=iProver_Domain_'ZF_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'cod$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_111,X0_27] :
% 7.34/1.66 ( iProver_Flat_'cod$'(X0_111,X0_27) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_111=iProver_Domain_'B_a_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'collect$d'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_14,X0_193] :
% 7.34/1.66 ( iProver_Flat_'collect$d'(X0_14,X0_193) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_14=iProver_Domain_'B_ZF_fun_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$cy'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_31,X0_32,X0_110] :
% 7.34/1.66 ( iProver_Flat_'fun_app$cy'(X0_31,X0_32,X0_110) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_31=iProver_Domain_'ZF_ZF_prod_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'case_prod$e'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_132,X0_54] :
% 7.34/1.66 ( iProver_Flat_'case_prod$e'(X0_132,X0_54) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_132=iProver_Domain_'ZF_nat_prod_ZF_set_ZF_set_prod_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'sigma$a'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_42,X0_36,X0_129] :
% 7.34/1.66 ( iProver_Flat_'sigma$a'(X0_42,X0_36,X0_129) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_42=iProver_Domain_'ZF_set_ZF_set_prod_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uxg$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_194,X0_159,X1_159] :
% 7.34/1.66 ( iProver_Flat_'uxg$'(X0_194,X0_159,X1_159) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_194=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'set$a'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_140] :
% 7.34/1.66 ( iProver_Flat_'set$a'(X0_140) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_140=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'collect$c'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_103,X0_142] :
% 7.34/1.66 ( iProver_Flat_'collect$c'(X0_103,X0_142) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_103=iProver_Domain_'ZF_ZF_fun_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uxp$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_54,X0_40,X0_114] :
% 7.34/1.66 ( iProver_Flat_'uxp$'(X0_54,X0_40,X0_114) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_54=iProver_Domain_'ZF_nat_ZF_set_ZF_set_prod_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'relImage$a'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_42,X0_72,X0_114] :
% 7.34/1.66 ( iProver_Flat_'relImage$a'(X0_42,X0_72,X0_114) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_42=iProver_Domain_'ZF_set_ZF_set_prod_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'sigma$h'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_55,X0_21,X0_69] :
% 7.34/1.66 ( iProver_Flat_'sigma$h'(X0_55,X0_21,X0_69) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_55=iProver_Domain_'ZF_ZF_set_prod_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'mapM$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_176,X0_23] :
% 7.34/1.66 ( iProver_Flat_'mapM$'(X0_176,X0_23) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_176=iProver_Domain_'B_ZF_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'obj$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_125,X0_27] :
% 7.34/1.66 ( iProver_Flat_'obj$'(X0_125,X0_27) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_125=iProver_Domain_'A_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'inverse$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_53,X0_27] :
% 7.34/1.66 ( iProver_Flat_'inverse$'(X0_53,X0_27) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_53=iProver_Domain_'B_b_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uxq$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_24,X0_181] :
% 7.34/1.66 ( iProver_Flat_'uxq$'(X0_24,X0_181) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_24=iProver_Domain_'ZF_nat_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uxo$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_38,X0_47,X0_31] :
% 7.34/1.66 ( iProver_Flat_'uxo$'(X0_38,X0_47,X0_31) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_38=iProver_Domain_'ZF_set_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uvv$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_187,X0_90,X0_21,X1_187] :
% 7.34/1.66 ( iProver_Flat_'uvv$'(X0_187,X0_90,X0_21,X1_187) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_187=iProver_Domain_'B_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$bc'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_181,X0_24,X0_175] :
% 7.34/1.66 ( iProver_Flat_'fun_app$bc'(X0_181,X0_24,X0_175) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_181=iProver_Domain_'Nat_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'collect$j'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_36,X0_169] :
% 7.34/1.66 ( iProver_Flat_'collect$j'(X0_36,X0_169) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_36=iProver_Domain_'ZF_set_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uud$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_161,X0_27] :
% 7.34/1.66 ( iProver_Flat_'uud$'(X0_161,X0_27) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_161=iProver_Domain_'B_b_b_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$cd'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_85,X0_83,X0_92] :
% 7.34/1.66 ( iProver_Flat_'fun_app$cd'(X0_85,X0_83,X0_92) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_85=iProver_Domain_'ZF_ZF_set_ZF_set_prod_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$cc'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_192,X0_67,X0_92] :
% 7.34/1.66 ( iProver_Flat_'fun_app$cc'(X0_192,X0_67,X0_92) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_192=iProver_Domain_'ZF_ZF_prod_ZF_set_ZF_prod_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uzu$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_133,X0_40,X1_40] :
% 7.34/1.66 ( iProver_Flat_'uzu$'(X0_133,X0_40,X1_40) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_133=iProver_Domain_'ZF_ZF_ZF_ZF_prod_set_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'vam$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_114,X0_64,X0_184] :
% 7.34/1.66 ( iProver_Flat_'vam$'(X0_114,X0_64,X0_184) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_114=iProver_Domain_'Nat_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uvc$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_40,X0_38,X1_40] :
% 7.34/1.66 ( iProver_Flat_'uvc$'(X0_40,X0_38,X1_40) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_40=iProver_Domain_'ZF_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$ad'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_40,X0_82,X0_175] :
% 7.34/1.66 ( iProver_Flat_'fun_app$ad'(X0_40,X0_82,X0_175) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_40=iProver_Domain_'ZF_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'constFunctor$e'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_17,X0_140,X1_140,X0_175] :
% 7.34/1.66 ( iProver_Flat_'constFunctor$e'(X0_17,X0_140,X1_140,X0_175) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_17=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$be'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_175,X0_154,X0_21] :
% 7.34/1.66 ( iProver_Flat_'fun_app$be'(X0_175,X0_154,X0_21) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uza$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_114,X0_64,X0_21] :
% 7.34/1.66 ( iProver_Flat_'uza$'(X0_114,X0_64,X0_21) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_114=iProver_Domain_'Nat_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'mapsTo$a'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_194,X0_140,X0_175] :
% 7.34/1.66 ( iProver_Flat_'mapsTo$a'(X0_194,X0_140,X0_175) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_194=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'image$aq'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_36,X0_76,X0_125] :
% 7.34/1.66 ( iProver_Flat_'image$aq'(X0_36,X0_76,X0_125) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_36=iProver_Domain_'ZF_set_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$bd'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_181,X0_130,X0_92] :
% 7.34/1.66 ( iProver_Flat_'fun_app$bd'(X0_181,X0_130,X0_92) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_181=iProver_Domain_'Nat_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$bp'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_137,X0_48,X0_175] :
% 7.34/1.66 ( iProver_Flat_'fun_app$bp'(X0_137,X0_48,X0_175) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_137=iProver_Domain_'Nat_ZF_ZF_prod_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uvp$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_187,X0_131,X0_125,X1_187] :
% 7.34/1.66 ( iProver_Flat_'uvp$'(X0_187,X0_131,X0_125,X1_187) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_187=iProver_Domain_'B_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$bi'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_138,X0_112,X0_175] :
% 7.34/1.66 ( iProver_Flat_'fun_app$bi'(X0_138,X0_112,X0_175) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'image$al'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_150,X0_147,X0_125] :
% 7.34/1.66 ( iProver_Flat_'image$al'(X0_150,X0_147,X0_125) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_150=iProver_Domain_'B_set_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'case_prod$f'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_163,X0_143] :
% 7.34/1.66 ( iProver_Flat_'case_prod$f'(X0_163,X0_143) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_163=iProver_Domain_'ZF_ZF_prod_ZF_prod_ZF_ZF_set_prod_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'sup$g'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_123,X0_37] :
% 7.34/1.66 ( iProver_Flat_'sup$g'(X0_123,X0_37) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_123=iProver_Domain_'A_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'homFtorContra$a'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_23,X0_27,X0_138] :
% 7.34/1.66 ( iProver_Flat_'homFtorContra$a'(X0_23,X0_27,X0_138) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_23=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uyz$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_189,X0_64] :
% 7.34/1.66 ( iProver_Flat_'uyz$'(X0_189,X0_64) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_189=iProver_Domain_'Nat_ZF_ZF_set_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uxd$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_24] :
% 7.34/1.66 ( iProver_Flat_'uxd$'(X0_24) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_24=iProver_Domain_'ZF_nat_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$u'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_21,X0_119,X0_36] :
% 7.34/1.66 ( iProver_Flat_'fun_app$u'(X0_21,X0_119,X0_36) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'inf$a'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_125,X0_45] :
% 7.34/1.66 ( iProver_Flat_'inf$a'(X0_125,X0_45) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_125=iProver_Domain_'A_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$db'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_177,X0_164,X0_16] :
% 7.34/1.66 ( iProver_Flat_'fun_app$db'(X0_177,X0_164,X0_16) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_177=iProver_Domain_'ZF_set_set_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uzw$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_194,X1_194] :
% 7.34/1.66 ( iProver_Flat_'uzw$'(X0_194,X1_194) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_194=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'image$r'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_21,X0_184,X0_181] :
% 7.34/1.66 ( iProver_Flat_'image$r'(X0_21,X0_184,X0_181) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'image$ak'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_45,X0_127,X0_125] :
% 7.34/1.66 ( iProver_Flat_'image$ak'(X0_45,X0_127,X0_125) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_45=iProver_Domain_'A_set_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'zFfunComp$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_75] :
% 7.34/1.66 ( iProver_Flat_'zFfunComp$'(X0_75) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_75=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'compDefined$a'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_187,X0_27,X0_73] :
% 7.34/1.66 ( iProver_Flat_'compDefined$a'(X0_187,X0_27,X0_73) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_187=iProver_Domain_'B_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'the$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_175,X0_159] :
% 7.34/1.66 ( iProver_Flat_'the$'(X0_175,X0_159) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'constFunctor$a'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_23,X0_27,X0_140,X0_175] :
% 7.34/1.66 ( iProver_Flat_'constFunctor$a'(X0_23,X0_27,X0_140,X0_175) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_23=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'image$ag'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_149,X0_182,X0_18] :
% 7.34/1.66 ( iProver_Flat_'image$ag'(X0_149,X0_182,X0_18) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_149=iProver_Domain_'ZF_set_ZF_prod_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uwb$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_159,X0_99,X0_21,X1_159] :
% 7.34/1.66 ( iProver_Flat_'uwb$'(X0_159,X0_99,X0_21,X1_159) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_159=iProver_Domain_'ZF_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$a'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_99,X0_120,X1_99] :
% 7.34/1.66 ( iProver_Flat_'fun_app$a'(X0_99,X0_120,X1_99) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_99=iProver_Domain_'ZF_ZF_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uvw$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_159,X0_90,X0_21,X0_187] :
% 7.34/1.66 ( iProver_Flat_'uvw$'(X0_159,X0_90,X0_21,X0_187) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_159=iProver_Domain_'ZF_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'vap$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_40,X0_189,X0_166] :
% 7.34/1.66 ( iProver_Flat_'vap$'(X0_40,X0_189,X0_166) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_40=iProver_Domain_'ZF_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$as'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_73,X0_90,X0_175] :
% 7.34/1.66 ( iProver_Flat_'fun_app$as'(X0_73,X0_90,X0_175) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uzf$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_144,X1_144] :
% 7.34/1.66 ( iProver_Flat_'uzf$'(X0_144,X1_144) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_144=iProver_Domain_'Nat_nat_ZF_set_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'image$ad'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_55,X0_163,X0_170] :
% 7.34/1.66 ( iProver_Flat_'image$ad'(X0_55,X0_163,X0_170) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_55=iProver_Domain_'ZF_ZF_set_prod_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uxv$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_63,X0_181] :
% 7.34/1.66 ( iProver_Flat_'uxv$'(X0_63,X0_181) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_63=iProver_Domain_'ZF_ZF_prod_nat_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$af'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_21,X0_102,X0_181] :
% 7.34/1.66 ( iProver_Flat_'fun_app$af'(X0_21,X0_102,X0_181) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'image$g'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_38,X0_99] :
% 7.34/1.66 ( iProver_Flat_'image$g'(X0_38,X0_99) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_38=iProver_Domain_'ZF_set_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$bh'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_125,X0_168,X1_125] :
% 7.34/1.66 ( iProver_Flat_'fun_app$bh'(X0_125,X0_168,X1_125) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_125=iProver_Domain_'A_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'vag$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_159,X0_36] :
% 7.34/1.66 ( iProver_Flat_'vag$'(X0_159,X0_36) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_159=iProver_Domain_'ZF_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uxr$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_143,X0_47,X0_40] :
% 7.34/1.66 ( iProver_Flat_'uxr$'(X0_143,X0_47,X0_40) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_143=iProver_Domain_'ZF_ZF_prod_ZF_ZF_ZF_set_prod_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$br'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_39,X0_126,X0_65] :
% 7.34/1.66 ( iProver_Flat_'fun_app$br'(X0_39,X0_126,X0_65) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_39=iProver_Domain_'ZF_ZF_prod_ZF_ZF_prod_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$bx'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_192,X0_52,X0_175] :
% 7.34/1.66 ( iProver_Flat_'fun_app$bx'(X0_192,X0_52,X0_175) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_192=iProver_Domain_'ZF_ZF_prod_ZF_set_ZF_prod_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'case_prod$m'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_57,X0_48] :
% 7.34/1.66 ( iProver_Flat_'case_prod$m'(X0_57,X0_48) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_57=iProver_Domain_'ZF_nat_prod_ZF_ZF_prod_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'case_prod$c'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_39,X0_59] :
% 7.34/1.66 ( iProver_Flat_'case_prod$c'(X0_39,X0_59) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_39=iProver_Domain_'ZF_ZF_prod_ZF_ZF_prod_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'gr$c'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_31,X0_21,X0_99] :
% 7.34/1.66 ( iProver_Flat_'gr$c'(X0_31,X0_21,X0_99) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_31=iProver_Domain_'ZF_ZF_prod_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uvm$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_123,X0_158,X0_125,X1_123] :
% 7.34/1.66 ( iProver_Flat_'uvm$'(X0_123,X0_158,X0_125,X1_123) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_123=iProver_Domain_'A_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uvf$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_40,X1_40,X0_99] :
% 7.34/1.66 ( iProver_Flat_'uvf$'(X0_40,X1_40,X0_99) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_40=iProver_Domain_'ZF_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'vaq$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_124,X0_189] :
% 7.34/1.66 ( iProver_Flat_'vaq$'(X0_124,X0_189) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_124=iProver_Domain_'ZF_nat_fun_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uwn$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_159,X0_176,X0_134] :
% 7.34/1.66 ( iProver_Flat_'uwn$'(X0_159,X0_176,X0_134) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_159=iProver_Domain_'ZF_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'identityFunctor$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_62,X0_27] :
% 7.34/1.66 ( iProver_Flat_'identityFunctor$'(X0_62,X0_27) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_62=iProver_Domain_'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'image$i'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_125,X0_112,X0_21] :
% 7.34/1.66 ( iProver_Flat_'image$i'(X0_125,X0_112,X0_21) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_125=iProver_Domain_'A_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'lSCategory_ext$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_49,X0_176,X0_88] :
% 7.34/1.66 ( iProver_Flat_'lSCategory_ext$'(X0_49,X0_176,X0_88) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_49=iProver_Domain_'B_c_LSCategory_ext'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'identityFunctor$a'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_17,X0_140] :
% 7.34/1.66 ( iProver_Flat_'identityFunctor$a'(X0_17,X0_140) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_17=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'top$a'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_21] :
% 7.34/1.66 ( iProver_Flat_'top$a'(X0_21) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$ar'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_175,X0_176,X0_73] :
% 7.34/1.66 ( iProver_Flat_'fun_app$ar'(X0_175,X0_176,X0_73) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'restrict$b'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_111,X1_111,X0_134] :
% 7.34/1.66 ( iProver_Flat_'restrict$b'(X0_111,X1_111,X0_134) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_111=iProver_Domain_'B_a_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$d'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_65,X0_13,X0_175] :
% 7.34/1.66 ( iProver_Flat_'fun_app$d'(X0_65,X0_13,X0_175) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_65=iProver_Domain_'ZF_ZF_prod'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$cp'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_138,X0_44,X0_92] :
% 7.34/1.66 ( iProver_Flat_'fun_app$cp'(X0_138,X0_44,X0_92) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uyw$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_82,X1_82] :
% 7.34/1.66 ( iProver_Flat_'uyw$'(X0_82,X1_82) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_82=iProver_Domain_'ZF_ZF_ZF_set_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'image$c'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_174,X0_74,X0_177] :
% 7.34/1.66 ( iProver_Flat_'image$c'(X0_174,X0_74,X0_177) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_174=iProver_Domain_'Bool_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'inverse_rel$a'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_194,X0_140] :
% 7.34/1.66 ( iProver_Flat_'inverse_rel$a'(X0_194,X0_140) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_194=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'image$x'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_125,X0_44,X0_181] :
% 7.34/1.66 ( iProver_Flat_'image$x'(X0_125,X0_44,X0_181) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_125=iProver_Domain_'A_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'case_prod$d'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_34,X0_52] :
% 7.34/1.66 ( iProver_Flat_'case_prod$d'(X0_34,X0_52) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_34=iProver_Domain_'ZF_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'case_prod$g'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_171,X0_81] :
% 7.34/1.66 ( iProver_Flat_'case_prod$g'(X0_171,X0_81) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_171=iProver_Domain_'ZF_ZF_prod_nat_prod_ZF_ZF_set_prod_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uvy$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_123,X0_167,X0_125,X0_159] :
% 7.34/1.66 ( iProver_Flat_'uvy$'(X0_123,X0_167,X0_125,X0_159) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_123=iProver_Domain_'A_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$ab'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_114,X0_64,X0_175] :
% 7.34/1.66 ( iProver_Flat_'fun_app$ab'(X0_114,X0_64,X0_175) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_114=iProver_Domain_'Nat_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'vai$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_40,X0_82] :
% 7.34/1.66 ( iProver_Flat_'vai$'(X0_40,X0_82) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_40=iProver_Domain_'ZF_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'van$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_180,X0_64] :
% 7.34/1.66 ( iProver_Flat_'van$'(X0_180,X0_64) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_180=iProver_Domain_'Nat_ZF_fun_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uvq$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_123,X0_131,X0_125,X0_187] :
% 7.34/1.66 ( iProver_Flat_'uvq$'(X0_123,X0_131,X0_125,X0_187) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_123=iProver_Domain_'A_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uxu$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_81,X0_47,X0_114] :
% 7.34/1.66 ( iProver_Flat_'uxu$'(X0_81,X0_47,X0_114) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_81=iProver_Domain_'ZF_ZF_prod_nat_ZF_ZF_set_prod_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'member$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_169,X0_175] :
% 7.34/1.66 ( iProver_Flat_'member$'(X0_169,X0_175) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_169=iProver_Domain_'ZF_set_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uyn$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_38] :
% 7.34/1.66 ( iProver_Flat_'uyn$'(X0_38) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_38=iProver_Domain_'ZF_set_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'vat$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_22,X0_144] :
% 7.34/1.66 ( iProver_Flat_'vat$'(X0_22,X0_144) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_22=iProver_Domain_'Nat_nat_fun_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$cu'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_134,X0_190,X0_73] :
% 7.34/1.66 ( iProver_Flat_'fun_app$cu'(X0_134,X0_190,X0_73) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_134=iProver_Domain_'B_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uwe$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_169,X0_78,X0_36,X0_123] :
% 7.34/1.66 ( iProver_Flat_'uwe$'(X0_169,X0_78,X0_36,X0_123) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_169=iProver_Domain_'ZF_set_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uum$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_161,X0_27] :
% 7.34/1.66 ( iProver_Flat_'uum$'(X0_161,X0_27) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_161=iProver_Domain_'B_b_b_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uyx$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_40,X0_82,X0_21] :
% 7.34/1.66 ( iProver_Flat_'uyx$'(X0_40,X0_82,X0_21) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_40=iProver_Domain_'ZF_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'image$b'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_174,X0_169,X0_36] :
% 7.34/1.66 ( iProver_Flat_'image$b'(X0_174,X0_169,X0_36) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_174=iProver_Domain_'Bool_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uwo$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_159,X0_99,X0_21] :
% 7.34/1.66 ( iProver_Flat_'uwo$'(X0_159,X0_99,X0_21) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_159=iProver_Domain_'ZF_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uya$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_137,X0_31] :
% 7.34/1.66 ( iProver_Flat_'uya$'(X0_137,X0_31) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_137=iProver_Domain_'Nat_ZF_ZF_prod_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'collect$f'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_41,X0_136] :
% 7.34/1.66 ( iProver_Flat_'collect$f'(X0_41,X0_136) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_41=iProver_Domain_'A_b_fun_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'relInvImage$a'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_72,X0_181,X0_42,X0_114] :
% 7.34/1.66 ( iProver_Flat_'relInvImage$a'(X0_72,X0_181,X0_42,X0_114) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_72=iProver_Domain_'Nat_nat_prod_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uxs$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_61,X0_21] :
% 7.34/1.66 ( iProver_Flat_'uxs$'(X0_61,X0_21) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_61=iProver_Domain_'ZF_ZF_prod_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'hOMCollection$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_76,X0_27,X0_138] :
% 7.34/1.66 ( iProver_Flat_'hOMCollection$'(X0_76,X0_27,X0_138) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_76=iProver_Domain_'A_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'image$y'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_134,X0_148,X0_181] :
% 7.34/1.66 ( iProver_Flat_'image$y'(X0_134,X0_148,X0_181) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_134=iProver_Domain_'B_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'case_prod$h'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_160,X0_83] :
% 7.34/1.66 ( iProver_Flat_'case_prod$h'(X0_160,X0_83) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_160=iProver_Domain_'Nat_ZF_prod_ZF_set_ZF_set_prod_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'image$ab'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_149,X0_34,X0_107] :
% 7.34/1.66 ( iProver_Flat_'image$ab'(X0_149,X0_34,X0_107) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_149=iProver_Domain_'ZF_set_ZF_prod_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$s'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_21,X0_40,X0_175] :
% 7.34/1.66 ( iProver_Flat_'fun_app$s'(X0_21,X0_40,X0_175) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'vaa$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_114,X0_26] :
% 7.34/1.66 ( iProver_Flat_'vaa$'(X0_114,X0_26) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_114=iProver_Domain_'Nat_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uyi$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_69,X0_36] :
% 7.34/1.66 ( iProver_Flat_'uyi$'(X0_69,X0_36) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_69=iProver_Domain_'ZF_ZF_set_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$cq'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_73,X0_148,X0_92] :
% 7.34/1.66 ( iProver_Flat_'fun_app$cq'(X0_73,X0_148,X0_92) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$ae'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_21,X0_38,X1_21] :
% 7.34/1.66 ( iProver_Flat_'fun_app$ae'(X0_21,X0_38,X1_21) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'swap$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_39] :
% 7.34/1.66 ( iProver_Flat_'swap$'(X0_39) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_39=iProver_Domain_'ZF_ZF_prod_ZF_ZF_prod_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'inverse$a'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_99,X0_140] :
% 7.34/1.66 ( iProver_Flat_'inverse$a'(X0_99,X0_140) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_99=iProver_Domain_'ZF_ZF_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'mapO$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_167,X0_23] :
% 7.34/1.66 ( iProver_Flat_'mapO$'(X0_167,X0_23) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_167=iProver_Domain_'A_ZF_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$y'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_21,X0_180,X0_184] :
% 7.34/1.66 ( iProver_Flat_'fun_app$y'(X0_21,X0_180,X0_184) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'image$ap'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_150,X0_29,X0_21] :
% 7.34/1.66 ( iProver_Flat_'image$ap'(X0_150,X0_29,X0_21) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_150=iProver_Domain_'B_set_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uxe$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_114] :
% 7.34/1.66 ( iProver_Flat_'uxe$'(X0_114) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_114=iProver_Domain_'Nat_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$bu'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_113,X0_152,X0_92] :
% 7.34/1.66 ( iProver_Flat_'fun_app$bu'(X0_113,X0_152,X0_92) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_113=iProver_Domain_'ZF_ZF_set_prod'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$bg'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_134,X0_155,X1_134] :
% 7.34/1.66 ( iProver_Flat_'fun_app$bg'(X0_134,X0_155,X1_134) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_134=iProver_Domain_'B_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$bo'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_60,X0_188,X0_92] :
% 7.34/1.66 ( iProver_Flat_'fun_app$bo'(X0_60,X0_188,X0_92) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_60=iProver_Domain_'ZF_ZF_ZF_prod_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'category_ext$a'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_140,X0_21,X1_21,X0_99,X1_99,X2_99,X0_75,X0_172] :
% 7.34/1.66 ( iProver_Flat_'category_ext$a'(X0_140,X0_21,X1_21,X0_99,X1_99,X2_99,X0_75,X0_172) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_140=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uyo$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_178,X0_40] :
% 7.34/1.66 ( iProver_Flat_'uyo$'(X0_178,X0_40) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_178=iProver_Domain_'ZF_set_ZF_ZF_prod_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'homFtorMap$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_176,X0_27,X0_138] :
% 7.34/1.66 ( iProver_Flat_'homFtorMap$'(X0_176,X0_27,X0_138) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_176=iProver_Domain_'B_ZF_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uzt$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_135,X0_114,X1_114] :
% 7.34/1.66 ( iProver_Flat_'uzt$'(X0_135,X0_114,X1_114) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_135=iProver_Domain_'Nat_nat_ZF_ZF_prod_set_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uuq$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_99,X0_27,X0_73] :
% 7.34/1.66 ( iProver_Flat_'uuq$'(X0_99,X0_27,X0_73) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_99=iProver_Domain_'ZF_ZF_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uxf$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_130] :
% 7.34/1.66 ( iProver_Flat_'uxf$'(X0_130) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_130=iProver_Domain_'Nat_nat_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$bt'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_58,X0_143,X0_65] :
% 7.34/1.66 ( iProver_Flat_'fun_app$bt'(X0_58,X0_143,X0_65) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_58=iProver_Domain_'ZF_ZF_ZF_set_prod_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'extensional$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_179,X0_134] :
% 7.34/1.66 ( iProver_Flat_'extensional$'(X0_179,X0_134) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_179=iProver_Domain_'B_a_fun_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'image$aj'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_42,X0_117,X0_31] :
% 7.34/1.66 ( iProver_Flat_'image$aj'(X0_42,X0_117,X0_31) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_42=iProver_Domain_'ZF_set_ZF_set_prod_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'image$d'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_174,X0_146,X0_150] :
% 7.34/1.66 ( iProver_Flat_'image$d'(X0_174,X0_146,X0_150) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_174=iProver_Domain_'Bool_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$cw'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_134,X0_29,X0_175] :
% 7.34/1.66 ( iProver_Flat_'fun_app$cw'(X0_134,X0_29,X0_175) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_134=iProver_Domain_'B_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uuo$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_187,X0_27,X0_175] :
% 7.34/1.66 ( iProver_Flat_'uuo$'(X0_187,X0_27,X0_175) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_187=iProver_Domain_'B_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'opair$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_75] :
% 7.34/1.66 ( iProver_Flat_'opair$'(X0_75) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_75=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uuy$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_187,X0_134,X1_187] :
% 7.34/1.66 ( iProver_Flat_'uuy$'(X0_187,X0_134,X1_187) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_187=iProver_Domain_'B_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uyy$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_40,X0_64,X0_181] :
% 7.34/1.66 ( iProver_Flat_'uyy$'(X0_40,X0_64,X0_181) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_40=iProver_Domain_'ZF_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'collect$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_21,X0_159] :
% 7.34/1.66 ( iProver_Flat_'collect$'(X0_21,X0_159) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$ao'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_92,X0_166,X0_175] :
% 7.34/1.66 ( iProver_Flat_'fun_app$ao'(X0_92,X0_166,X0_175) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_92=iProver_Domain_'Nat'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'g$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_73] :
% 7.34/1.66 ( iProver_Flat_'g$'(X0_73) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'vae$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_187,X0_150] :
% 7.34/1.66 ( iProver_Flat_'vae$'(X0_187,X0_150) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_187=iProver_Domain_'B_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'member$b'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_146,X0_73] :
% 7.34/1.66 ( iProver_Flat_'member$b'(X0_146,X0_73) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_146=iProver_Domain_'B_set_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$ac'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_40,X0_189,X0_92] :
% 7.34/1.66 ( iProver_Flat_'fun_app$ac'(X0_40,X0_189,X0_92) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_40=iProver_Domain_'ZF_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'more_update$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_140,X0_25,X1_140] :
% 7.34/1.66 ( iProver_Flat_'more_update$'(X0_140,X0_25,X1_140) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_140=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'image$aa'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_31,X0_97,X0_181] :
% 7.34/1.66 ( iProver_Flat_'image$aa'(X0_31,X0_97,X0_181) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_31=iProver_Domain_'ZF_ZF_prod_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uzy$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_159,X0_26] :
% 7.34/1.66 ( iProver_Flat_'uzy$'(X0_159,X0_26) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_159=iProver_Domain_'ZF_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uxw$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_69,X0_114,X0_181] :
% 7.34/1.66 ( iProver_Flat_'uxw$'(X0_69,X0_114,X0_181) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_69=iProver_Domain_'ZF_ZF_set_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'comp$b'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_120,X0_99] :
% 7.34/1.66 ( iProver_Flat_'comp$b'(X0_120,X0_99) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_120=iProver_Domain_'ZF_ZF_fun_ZF_ZF_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'top$f'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_103] :
% 7.34/1.66 ( iProver_Flat_'top$f'(X0_103) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_103=iProver_Domain_'ZF_ZF_fun_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'more$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_49,X0_27] :
% 7.34/1.66 ( iProver_Flat_'more$'(X0_49,X0_27) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_49=iProver_Domain_'B_c_LSCategory_ext'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uwh$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_159,X0_47,X0_100] :
% 7.34/1.66 ( iProver_Flat_'uwh$'(X0_159,X0_47,X0_100) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_159=iProver_Domain_'ZF_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uyr$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_40,X1_40,X2_40] :
% 7.34/1.66 ( iProver_Flat_'uyr$'(X0_40,X1_40,X2_40) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_40=iProver_Domain_'ZF_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'restrict$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_47,X1_47,X0_31] :
% 7.34/1.66 ( iProver_Flat_'restrict$'(X0_47,X1_47,X0_31) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_47=iProver_Domain_'ZF_ZF_prod_ZF_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'image$bi'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_77,X0_139,X0_150] :
% 7.34/1.66 ( iProver_Flat_'image$bi'(X0_77,X0_139,X0_150) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_77=iProver_Domain_'B_bool_fun_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'more$a'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_172,X0_140] :
% 7.34/1.66 ( iProver_Flat_'more$a'(X0_172,X0_140) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_172=iProver_Domain_'Unit'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uvs$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_187,X0_53,X0_134,X1_187] :
% 7.34/1.66 ( iProver_Flat_'uvs$'(X0_187,X0_53,X0_134,X1_187) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_187=iProver_Domain_'B_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'comp$i'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_119,X1_119,X0_162] :
% 7.34/1.66 ( iProver_Flat_'comp$i'(X0_119,X1_119,X0_162) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_119=iProver_Domain_'ZF_set_set_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'image$bn'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_36,X0_43,X0_103] :
% 7.34/1.66 ( iProver_Flat_'image$bn'(X0_36,X0_43,X0_103) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_36=iProver_Domain_'ZF_set_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$cb'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_109,X0_54,X0_175] :
% 7.34/1.66 ( iProver_Flat_'fun_app$cb'(X0_109,X0_54,X0_175) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_109=iProver_Domain_'Nat_ZF_set_ZF_set_prod_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$bs'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_113,X0_58,X0_175] :
% 7.34/1.66 ( iProver_Flat_'fun_app$bs'(X0_113,X0_58,X0_175) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_113=iProver_Domain_'ZF_ZF_set_prod'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'vaj$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_40,X0_82,X0_99] :
% 7.34/1.66 ( iProver_Flat_'vaj$'(X0_40,X0_82,X0_99) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_40=iProver_Domain_'ZF_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'restrict$c'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_131,X1_131,X0_125] :
% 7.34/1.66 ( iProver_Flat_'restrict$c'(X0_131,X1_131,X0_125) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_131=iProver_Domain_'A_b_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'dom$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_111,X0_27] :
% 7.34/1.66 ( iProver_Flat_'dom$'(X0_111,X0_27) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_111=iProver_Domain_'B_a_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'elem$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_194] :
% 7.34/1.66 ( iProver_Flat_'elem$'(X0_194) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_194=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'zFfunDom$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_99] :
% 7.34/1.66 ( iProver_Flat_'zFfunDom$'(X0_99) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_99=iProver_Domain_'ZF_ZF_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uzk$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_93,X0_40,X0_114] :
% 7.34/1.66 ( iProver_Flat_'uzk$'(X0_93,X0_40,X0_114) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_93=iProver_Domain_'Nat_ZF_set_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'vak$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_43,X0_82] :
% 7.34/1.66 ( iProver_Flat_'vak$'(X0_43,X0_82) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_43=iProver_Domain_'ZF_ZF_fun_ZF_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'image$o'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_134,X0_131,X0_125] :
% 7.34/1.66 ( iProver_Flat_'image$o'(X0_134,X0_131,X0_125) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_134=iProver_Domain_'B_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uyk$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_82] :
% 7.34/1.66 ( iProver_Flat_'uyk$'(X0_82) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_82=iProver_Domain_'ZF_ZF_ZF_set_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$bb'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_21,X0_61,X0_65] :
% 7.34/1.66 ( iProver_Flat_'fun_app$bb'(X0_21,X0_61,X0_65) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'zFfunApp$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_75] :
% 7.34/1.66 ( iProver_Flat_'zFfunApp$'(X0_75) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_75=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uzr$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_188,X0_114,X0_40] :
% 7.34/1.66 ( iProver_Flat_'uzr$'(X0_188,X0_114,X0_40) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_188=iProver_Domain_'Nat_ZF_ZF_ZF_prod_set_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'case_prod$p'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_185,X0_133] :
% 7.34/1.66 ( iProver_Flat_'case_prod$p'(X0_185,X0_133) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_185=iProver_Domain_'ZF_ZF_prod_ZF_ZF_prod_set_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uws$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_173] :
% 7.34/1.66 ( iProver_Flat_'uws$'(X0_173) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_173=iProver_Domain_'Nat_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uwg$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_169,X0_40,X0_159] :
% 7.34/1.66 ( iProver_Flat_'uwg$'(X0_169,X0_40,X0_159) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_169=iProver_Domain_'ZF_set_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'case_prod$b'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_100,X0_194] :
% 7.34/1.66 ( iProver_Flat_'case_prod$b'(X0_100,X0_194) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_100=iProver_Domain_'ZF_ZF_prod_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uzo$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_48,X0_40,X0_114] :
% 7.34/1.66 ( iProver_Flat_'uzo$'(X0_48,X0_40,X0_114) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_48=iProver_Domain_'ZF_nat_ZF_ZF_prod_set_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'cod$a'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_99,X0_140] :
% 7.34/1.66 ( iProver_Flat_'cod$a'(X0_99,X0_140) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_99=iProver_Domain_'ZF_ZF_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uvn$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_123,X0_111,X0_134,X1_123] :
% 7.34/1.66 ( iProver_Flat_'uvn$'(X0_123,X0_111,X0_134,X1_123) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_123=iProver_Domain_'A_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uwy$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_194] :
% 7.34/1.66 ( iProver_Flat_'uwy$'(X0_194) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_194=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'more$b'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_88,X0_27] :
% 7.34/1.66 ( iProver_Flat_'more$b'(X0_88,X0_27) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_88=iProver_Domain_'C'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$v'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_36,X0_94,X0_181] :
% 7.34/1.66 ( iProver_Flat_'fun_app$v'(X0_36,X0_94,X0_181) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_36=iProver_Domain_'ZF_set_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'vad$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_123,X0_45] :
% 7.34/1.66 ( iProver_Flat_'vad$'(X0_123,X0_45) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_123=iProver_Domain_'A_bool_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'fun_app$cf'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_31,X0_185,X0_65] :
% 7.34/1.66 ( iProver_Flat_'fun_app$cf'(X0_31,X0_185,X0_65) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_31=iProver_Domain_'ZF_ZF_prod_set'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'comp$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_75,X0_140] :
% 7.34/1.66 ( iProver_Flat_'comp$'(X0_75,X0_140) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_75=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'uuv$'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_165] :
% 7.34/1.66 ( iProver_Flat_'uuv$'(X0_165) <=>
% 7.34/1.66 (
% 7.34/1.66 (
% 7.34/1.66 ( X0_165=iProver_Domain_'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun'_1 )
% 7.34/1.66 )
% 7.34/1.66
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 )
% 7.34/1.66 ).
% 7.34/1.66
% 7.34/1.66 %------ Positive definition of iProver_Flat_'image$ar'
% 7.34/1.66 fof(lit_def,axiom,
% 7.34/1.66 (! [X0_36,X0_80,X0_134] :
% 7.34/1.66 ( iProver_Flat_'image$ar'(X0_36,X0_80,X0_134) <=>
% 7.34/1.66 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_36=iProver_Domain_'ZF_set_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'zF2mor$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_90,X0_27] :
% 7.34/1.67 ( iProver_Flat_'zF2mor$'(X0_90,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_90=iProver_Domain_'ZF_b_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uus$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_75,X0_175] :
% 7.34/1.67 ( iProver_Flat_'uus$'(X0_75,X0_175) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_75=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'image$t'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_31,X0_39,X1_31] :
% 7.34/1.67 ( iProver_Flat_'image$t'(X0_31,X0_39,X1_31) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_31=iProver_Domain_'ZF_ZF_prod_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uxz$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_67,X0_114,X0_47] :
% 7.34/1.67 ( iProver_Flat_'uxz$'(X0_67,X0_114,X0_47) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_67=iProver_Domain_'Nat_ZF_ZF_prod_ZF_set_ZF_prod_fun_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'dom_update$a'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_140,X0_120,X1_140] :
% 7.34/1.67 ( iProver_Flat_'dom_update$a'(X0_140,X0_120,X1_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_140=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uwm$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_159,X0_167,X0_125] :
% 7.34/1.67 ( iProver_Flat_'uwm$'(X0_159,X0_167,X0_125) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_159=iProver_Domain_'ZF_bool_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'fun_app$ce'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_109,X0_19,X0_92] :
% 7.34/1.67 ( iProver_Flat_'fun_app$ce'(X0_109,X0_19,X0_92) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_109=iProver_Domain_'Nat_ZF_set_ZF_set_prod_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'fun_app$cm'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_172,X0_25,X1_172] :
% 7.34/1.67 ( iProver_Flat_'fun_app$cm'(X0_172,X0_25,X1_172) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_172=iProver_Domain_'Unit'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'fun_app$at'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_159,X0_56,X0_92] :
% 7.34/1.67 ( iProver_Flat_'fun_app$at'(X0_159,X0_56,X0_92) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_159=iProver_Domain_'ZF_bool_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'homFtorMapContra$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_167,X0_27,X0_73] :
% 7.34/1.67 ( iProver_Flat_'homFtorMapContra$'(X0_167,X0_27,X0_73) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_167=iProver_Domain_'A_ZF_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uue$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_75,X0_140] :
% 7.34/1.67 ( iProver_Flat_'uue$'(X0_75,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_75=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uzj$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_69,X0_40,X1_40] :
% 7.34/1.67 ( iProver_Flat_'uzj$'(X0_69,X0_40,X1_40) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_69=iProver_Domain_'ZF_ZF_set_set_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uzq$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_82,X0_40] :
% 7.34/1.67 ( iProver_Flat_'uzq$'(X0_82,X0_40) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_82=iProver_Domain_'ZF_ZF_ZF_set_fun_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'collect$g'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_181,X0_173] :
% 7.34/1.67 ( iProver_Flat_'collect$g'(X0_181,X0_173) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_181=iProver_Domain_'Nat_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'constFunctor$c'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_17,X0_140,X1_140,X0_175] :
% 7.34/1.67 ( iProver_Flat_'constFunctor$c'(X0_17,X0_140,X1_140,X0_175) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_17=iProver_Domain_'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'fun_app$by'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_151,X0_85,X0_175] :
% 7.34/1.67 ( iProver_Flat_'fun_app$by'(X0_151,X0_85,X0_175) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_151=iProver_Domain_'ZF_set_ZF_set_prod'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'fun_app$am'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_73,X0_53,X1_73] :
% 7.34/1.67 ( iProver_Flat_'fun_app$am'(X0_73,X0_53,X1_73) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'collect$h'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_125,X0_123] :
% 7.34/1.67 ( iProver_Flat_'collect$h'(X0_125,X0_123) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_125=iProver_Domain_'A_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uzh$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_40,X0_47,X0_60] :
% 7.34/1.67 ( iProver_Flat_'uzh$'(X0_40,X0_47,X0_60) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_40=iProver_Domain_'ZF_ZF_set_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'comp$a'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_161,X0_27] :
% 7.34/1.67 ( iProver_Flat_'comp$a'(X0_161,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_161=iProver_Domain_'B_b_b_fun_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'fun_app$au'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_21,X0_145,X0_31] :
% 7.34/1.67 ( iProver_Flat_'fun_app$au'(X0_21,X0_145,X0_31) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uyu$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_38,X0_40] :
% 7.34/1.67 ( iProver_Flat_'uyu$'(X0_38,X0_40) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_38=iProver_Domain_'ZF_set_ZF_set_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'relImage$b'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_31,X0_71,X0_47] :
% 7.34/1.67 ( iProver_Flat_'relImage$b'(X0_31,X0_71,X0_47) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_31=iProver_Domain_'ZF_ZF_prod_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uxx$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_83,X0_114,X0_40] :
% 7.34/1.67 ( iProver_Flat_'uxx$'(X0_83,X0_114,X0_40) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_83=iProver_Domain_'Nat_ZF_ZF_set_ZF_set_prod_fun_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'fun_app$bq'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_137,X0_135,X0_92] :
% 7.34/1.67 ( iProver_Flat_'fun_app$bq'(X0_137,X0_135,X0_92) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_137=iProver_Domain_'Nat_ZF_ZF_prod_set_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uyd$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_126,X0_47,X1_47] :
% 7.34/1.67 ( iProver_Flat_'uyd$'(X0_126,X0_47,X1_47) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_126=iProver_Domain_'ZF_ZF_prod_ZF_ZF_prod_ZF_ZF_prod_fun_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uvj$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_40,X0_114,X0_166] :
% 7.34/1.67 ( iProver_Flat_'uvj$'(X0_40,X0_114,X0_166) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_40=iProver_Domain_'ZF_ZF_set_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uwq$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_99,X0_47,X0_13] :
% 7.34/1.67 ( iProver_Flat_'uwq$'(X0_99,X0_47,X0_13) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_99=iProver_Domain_'ZF_ZF_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'pair$d'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_151,X0_21,X1_21] :
% 7.34/1.67 ( iProver_Flat_'pair$d'(X0_151,X0_21,X1_21) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_151=iProver_Domain_'ZF_set_ZF_set_prod'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'image$j'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_125,X0_78,X0_36] :
% 7.34/1.67 ( iProver_Flat_'image$j'(X0_125,X0_78,X0_36) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_125=iProver_Domain_'A_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'fun_app$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_99,X1_175] :
% 7.34/1.67 ( iProver_Flat_'fun_app$'(X0_175,X0_99,X1_175) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'fun_app$l'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_187,X0_139,X0_134] :
% 7.34/1.67 ( iProver_Flat_'fun_app$l'(X0_187,X0_139,X0_134) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_187=iProver_Domain_'B_bool_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'objIso$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_194,X0_140] :
% 7.34/1.67 ( iProver_Flat_'objIso$'(X0_194,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_194=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'fun_app$ax'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_36,X0_69,X0_175] :
% 7.34/1.67 ( iProver_Flat_'fun_app$ax'(X0_36,X0_69,X0_175) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_36=iProver_Domain_'ZF_set_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'fun_app$cs'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_134,X0_147,X0_138] :
% 7.34/1.67 ( iProver_Flat_'fun_app$cs'(X0_134,X0_147,X0_138) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_134=iProver_Domain_'B_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uzz$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_159,X0_26,X0_92] :
% 7.34/1.67 ( iProver_Flat_'uzz$'(X0_159,X0_26,X0_92) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_159=iProver_Domain_'ZF_bool_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'fun_app$aw'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_31,X0_137,X0_92] :
% 7.34/1.67 ( iProver_Flat_'fun_app$aw'(X0_31,X0_137,X0_92) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_31=iProver_Domain_'ZF_ZF_prod_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'collect$e'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_179,X0_186] :
% 7.34/1.67 ( iProver_Flat_'collect$e'(X0_179,X0_186) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_179=iProver_Domain_'B_a_fun_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'fun_app$g'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_159,X0_141,X0_21] :
% 7.34/1.67 ( iProver_Flat_'fun_app$g'(X0_159,X0_141,X0_21) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_159=iProver_Domain_'ZF_bool_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'restrict$d'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_99,X1_99,X0_21] :
% 7.34/1.67 ( iProver_Flat_'restrict$d'(X0_99,X1_99,X0_21) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_99=iProver_Domain_'ZF_ZF_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'image$af'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_42,X0_160,X0_30] :
% 7.34/1.67 ( iProver_Flat_'image$af'(X0_42,X0_160,X0_30) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_42=iProver_Domain_'ZF_set_ZF_set_prod_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uvl$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_123,X0_158,X0_125,X1_123] :
% 7.34/1.67 ( iProver_Flat_'uvl$'(X0_123,X0_158,X0_125,X1_123) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_123=iProver_Domain_'A_bool_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'isomorphism$a'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_187,X0_27] :
% 7.34/1.67 ( iProver_Flat_'isomorphism$a'(X0_187,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_187=iProver_Domain_'B_bool_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'image$bd'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_110,X0_57,X0_116] :
% 7.34/1.67 ( iProver_Flat_'image$bd'(X0_110,X0_57,X0_116) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_110=iProver_Domain_'ZF_ZF_prod_set_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'image$q'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_162,X0_38] :
% 7.34/1.67 ( iProver_Flat_'image$q'(X0_162,X0_38) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_162=iProver_Domain_'ZF_set_set_ZF_set_set_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'fun_app$an'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_53,X0_161,X0_73] :
% 7.34/1.67 ( iProver_Flat_'fun_app$an'(X0_53,X0_161,X0_73) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_53=iProver_Domain_'B_b_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uwz$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_129,X0_40,X0_21] :
% 7.34/1.67 ( iProver_Flat_'uwz$'(X0_129,X0_40,X0_21) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_129=iProver_Domain_'ZF_set_ZF_set_set_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uuu$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_99] :
% 7.34/1.67 ( iProver_Flat_'uuu$'(X0_99) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_99=iProver_Domain_'ZF_ZF_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'image$av'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_33,X0_145] :
% 7.34/1.67 ( iProver_Flat_'image$av'(X0_33,X0_145) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_33=iProver_Domain_'ZF_ZF_prod_set_set_ZF_set_set_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'image$aw'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_16,X0_24,X0_21] :
% 7.34/1.67 ( iProver_Flat_'image$aw'(X0_16,X0_24,X0_21) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_16=iProver_Domain_'Nat_set_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'image$bp'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_36,X0_124,X0_79] :
% 7.34/1.67 ( iProver_Flat_'image$bp'(X0_36,X0_124,X0_79) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_36=iProver_Domain_'ZF_set_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'fun_app$ap'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_92,X0_87,X1_92] :
% 7.34/1.67 ( iProver_Flat_'fun_app$ap'(X0_92,X0_87,X1_92) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_92=iProver_Domain_'Nat'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'image$am'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_45,X0_66,X0_134] :
% 7.34/1.67 ( iProver_Flat_'image$am'(X0_45,X0_66,X0_134) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_45=iProver_Domain_'A_set_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'top$c'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_116] :
% 7.34/1.67 ( iProver_Flat_'top$c'(X0_116) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_116=iProver_Domain_'ZF_nat_prod_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'vab$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_194,X0_40] :
% 7.34/1.67 ( iProver_Flat_'vab$'(X0_194,X0_40) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_194=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'fun_app$z'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_21,X0_43,X0_99] :
% 7.34/1.67 ( iProver_Flat_'fun_app$z'(X0_21,X0_43,X0_99) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'isomorphism$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_159,X0_140] :
% 7.34/1.67 ( iProver_Flat_'isomorphism$'(X0_159,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_159=iProver_Domain_'ZF_bool_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'image$ae'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_55,X0_171,X0_104] :
% 7.34/1.67 ( iProver_Flat_'image$ae'(X0_55,X0_171,X0_104) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_55=iProver_Domain_'ZF_ZF_set_prod_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uzi$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_114,X0_47,X0_137] :
% 7.34/1.67 ( iProver_Flat_'uzi$'(X0_114,X0_47,X0_137) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_114=iProver_Domain_'Nat_ZF_set_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'id$a'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_99,X0_140] :
% 7.34/1.67 ( iProver_Flat_'id$a'(X0_99,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_99=iProver_Domain_'ZF_ZF_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'case_prod$k'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_51,X0_126] :
% 7.34/1.67 ( iProver_Flat_'case_prod$k'(X0_51,X0_126) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_51=iProver_Domain_'ZF_ZF_prod_ZF_ZF_prod_prod_ZF_ZF_prod_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'sigma$j'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_18,X0_181,X0_137] :
% 7.34/1.67 ( iProver_Flat_'sigma$j'(X0_18,X0_181,X0_137) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_18=iProver_Domain_'Nat_ZF_ZF_prod_prod_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uzc$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_64,X0_189] :
% 7.34/1.67 ( iProver_Flat_'uzc$'(X0_64,X0_189) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_64=iProver_Domain_'ZF_nat_ZF_set_fun_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'comp$c'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_28,X0_91,X0_164] :
% 7.34/1.67 ( iProver_Flat_'comp$c'(X0_28,X0_91,X0_164) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_28=iProver_Domain_'Nat_set_set_ZF_set_set_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uvd$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_47,X0_99,X1_47] :
% 7.34/1.67 ( iProver_Flat_'uvd$'(X0_47,X0_99,X1_47) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_47=iProver_Domain_'ZF_ZF_prod_ZF_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uvt$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_123,X0_112,X0_21,X1_123] :
% 7.34/1.67 ( iProver_Flat_'uvt$'(X0_123,X0_112,X0_21,X1_123) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_123=iProver_Domain_'A_bool_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'fun_app$dc'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_36,X0_33,X0_110] :
% 7.34/1.67 ( iProver_Flat_'fun_app$dc'(X0_36,X0_33,X0_110) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_36=iProver_Domain_'ZF_set_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'constFunctor$b'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_128,X0_140,X0_27,X0_138] :
% 7.34/1.67 ( iProver_Flat_'constFunctor$b'(X0_128,X0_140,X0_27,X0_138) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_128=iProver_Domain_'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'fun_app$cz'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_181,X0_50,X0_16] :
% 7.34/1.67 ( iProver_Flat_'fun_app$cz'(X0_181,X0_50,X0_16) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_181=iProver_Domain_'Nat_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uwi$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_159,X0_99,X1_159] :
% 7.34/1.67 ( iProver_Flat_'uwi$'(X0_159,X0_99,X1_159) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_159=iProver_Domain_'ZF_bool_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uyf$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_20,X0_40,X1_40] :
% 7.34/1.67 ( iProver_Flat_'uyf$'(X0_20,X0_40,X1_40) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_20=iProver_Domain_'ZF_ZF_ZF_set_ZF_set_prod_fun_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'case_prod$j'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_106,X0_19] :
% 7.34/1.67 ( iProver_Flat_'case_prod$j'(X0_106,X0_19) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_106=iProver_Domain_'Nat_nat_prod_ZF_set_ZF_set_prod_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'fun_app$ba'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_65,X0_97,X0_92] :
% 7.34/1.67 ( iProver_Flat_'fun_app$ba'(X0_65,X0_97,X0_92) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_65=iProver_Domain_'ZF_ZF_prod'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'relImage$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_42,X0_31,X0_40] :
% 7.34/1.67 ( iProver_Flat_'relImage$'(X0_42,X0_31,X0_40) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_42=iProver_Domain_'ZF_set_ZF_set_prod_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'image$be'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_110,X0_122,X0_30] :
% 7.34/1.67 ( iProver_Flat_'image$be'(X0_110,X0_122,X0_30) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_110=iProver_Domain_'ZF_ZF_prod_set_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'homFtor$a'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_23,X0_27,X0_138] :
% 7.34/1.67 ( iProver_Flat_'homFtor$a'(X0_23,X0_27,X0_138) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_23=iProver_Domain_'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'sigma$l'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_70,X0_181,X0_93] :
% 7.34/1.67 ( iProver_Flat_'sigma$l'(X0_70,X0_181,X0_93) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_70=iProver_Domain_'Nat_ZF_set_prod_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'fun_app$bj'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_138,X0_78,X0_21] :
% 7.34/1.67 ( iProver_Flat_'fun_app$bj'(X0_138,X0_78,X0_21) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uzx$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_40,X0_194] :
% 7.34/1.67 ( iProver_Flat_'uzx$'(X0_40,X0_194) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_40=iProver_Domain_'ZF_ZF_set_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'relInvImage$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_31,X0_21,X0_42,X0_40] :
% 7.34/1.67 ( iProver_Flat_'relInvImage$'(X0_31,X0_21,X0_42,X0_40) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_31=iProver_Domain_'ZF_ZF_prod_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'case_prod$i'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_182,X0_67] :
% 7.34/1.67 ( iProver_Flat_'case_prod$i'(X0_182,X0_67) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_182=iProver_Domain_'Nat_ZF_ZF_prod_prod_ZF_set_ZF_prod_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'vav$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_43,X0_82] :
% 7.34/1.67 ( iProver_Flat_'vav$'(X0_43,X0_82) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_43=iProver_Domain_'ZF_ZF_fun_ZF_set_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'fun_app$ch'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_111,X0_157,X1_111] :
% 7.34/1.67 ( iProver_Flat_'fun_app$ch'(X0_111,X0_157,X1_111) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_111=iProver_Domain_'B_a_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'image$bl'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_183,X0_194,X0_21] :
% 7.34/1.67 ( iProver_Flat_'image$bl'(X0_183,X0_194,X0_21) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_183=iProver_Domain_'ZF_bool_fun_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'case_prod$o'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_95,X0_135] :
% 7.34/1.67 ( iProver_Flat_'case_prod$o'(X0_95,X0_135) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_95=iProver_Domain_'Nat_nat_prod_ZF_ZF_prod_set_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'fun_app$da'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_36,X0_91,X0_177] :
% 7.34/1.67 ( iProver_Flat_'fun_app$da'(X0_36,X0_91,X0_177) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_36=iProver_Domain_'ZF_set_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uul$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_75,X0_47] :
% 7.34/1.67 ( iProver_Flat_'uul$'(X0_75,X0_47) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_75=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'sigma$d'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_72,X0_181,X0_130] :
% 7.34/1.67 ( iProver_Flat_'sigma$d'(X0_72,X0_181,X0_130) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_72=iProver_Domain_'Nat_nat_prod_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'image$s'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_36,X0_61,X0_31] :
% 7.34/1.67 ( iProver_Flat_'image$s'(X0_36,X0_61,X0_31) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_36=iProver_Domain_'ZF_set_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'image$v'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_181,X0_87,X1_181] :
% 7.34/1.67 ( iProver_Flat_'image$v'(X0_181,X0_87,X1_181) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_181=iProver_Domain_'Nat_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uvx$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_159,X0_167,X0_125,X1_159] :
% 7.34/1.67 ( iProver_Flat_'uvx$'(X0_159,X0_167,X0_125,X1_159) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_159=iProver_Domain_'ZF_bool_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'homSet$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_167,X0_27,X0_138] :
% 7.34/1.67 ( iProver_Flat_'homSet$'(X0_167,X0_27,X0_138) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_167=iProver_Domain_'A_ZF_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'image$bm'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_183,X0_56,X0_181] :
% 7.34/1.67 ( iProver_Flat_'image$bm'(X0_183,X0_56,X0_181) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_183=iProver_Domain_'ZF_bool_fun_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'fun_app$cv'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_125,X0_89,X0_175] :
% 7.34/1.67 ( iProver_Flat_'fun_app$cv'(X0_125,X0_89,X0_175) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_125=iProver_Domain_'A_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uzl$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_40,X0_99,X1_40] :
% 7.34/1.67 ( iProver_Flat_'uzl$'(X0_40,X0_99,X1_40) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_40=iProver_Domain_'ZF_ZF_set_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'pair$b'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_113,X0_175,X0_21] :
% 7.34/1.67 ( iProver_Flat_'pair$b'(X0_113,X0_175,X0_21) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_113=iProver_Domain_'ZF_ZF_set_prod'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'mor_update$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_140,X0_38,X1_140] :
% 7.34/1.67 ( iProver_Flat_'mor_update$'(X0_140,X0_38,X1_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_140=iProver_Domain_'ZF_ZF_unit_Category_ext'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'image$bo'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_36,X0_180,X0_15] :
% 7.34/1.67 ( iProver_Flat_'image$bo'(X0_36,X0_180,X0_15) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_36=iProver_Domain_'ZF_set_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'image$ay'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_36,X0_102,X0_16] :
% 7.34/1.67 ( iProver_Flat_'image$ay'(X0_36,X0_102,X0_16) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_36=iProver_Domain_'ZF_set_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'top$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_181] :
% 7.34/1.67 ( iProver_Flat_'top$'(X0_181) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_181=iProver_Domain_'Nat_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'image$bf'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_110,X0_95,X0_72] :
% 7.34/1.67 ( iProver_Flat_'image$bf'(X0_110,X0_95,X0_72) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_110=iProver_Domain_'ZF_ZF_prod_set_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'sigma$i'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_104,X0_31,X0_63] :
% 7.34/1.67 ( iProver_Flat_'sigma$i'(X0_104,X0_31,X0_63) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_104=iProver_Domain_'ZF_ZF_prod_nat_prod_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'image$l'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_155,X0_53] :
% 7.34/1.67 ( iProver_Flat_'image$l'(X0_155,X0_53) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_155=iProver_Domain_'B_set_b_set_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uxt$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_69,X0_40,X0_21] :
% 7.34/1.67 ( iProver_Flat_'uxt$'(X0_69,X0_40,X0_21) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_69=iProver_Domain_'ZF_ZF_set_set_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uxc$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_40] :
% 7.34/1.67 ( iProver_Flat_'uxc$'(X0_40) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_40=iProver_Domain_'ZF_ZF_set_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'image$at'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_164,X0_94] :
% 7.34/1.67 ( iProver_Flat_'image$at'(X0_164,X0_94) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_164=iProver_Domain_'Nat_set_set_ZF_set_set_set_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'vaz$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_124,X0_189] :
% 7.34/1.67 ( iProver_Flat_'vaz$'(X0_124,X0_189) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_124=iProver_Domain_'ZF_nat_fun_ZF_set_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uvk$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_114,X1_114,X0_87] :
% 7.34/1.67 ( iProver_Flat_'uvk$'(X0_114,X1_114,X0_87) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_114=iProver_Domain_'Nat_ZF_set_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'fun_app$q'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_159,X0_194,X0_175] :
% 7.34/1.67 ( iProver_Flat_'fun_app$q'(X0_159,X0_194,X0_175) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_159=iProver_Domain_'ZF_bool_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uwc$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_159,X0_99,X0_21,X1_159] :
% 7.34/1.67 ( iProver_Flat_'uwc$'(X0_159,X0_99,X0_21,X1_159) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_159=iProver_Domain_'ZF_bool_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'fun_app$bl'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_73,X0_131,X0_138] :
% 7.34/1.67 ( iProver_Flat_'fun_app$bl'(X0_73,X0_131,X0_138) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uys$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_114,X0_40,X1_114] :
% 7.34/1.67 ( iProver_Flat_'uys$'(X0_114,X0_40,X1_114) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_114=iProver_Domain_'Nat_ZF_set_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'gr$b'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_70,X0_181,X0_114] :
% 7.34/1.67 ( iProver_Flat_'gr$b'(X0_70,X0_181,X0_114) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_70=iProver_Domain_'Nat_ZF_set_prod_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'less_eq$c'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_169,X0_21] :
% 7.34/1.67 ( iProver_Flat_'less_eq$c'(X0_169,X0_21) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_169=iProver_Domain_'ZF_set_bool_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'explode$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_40] :
% 7.34/1.67 ( iProver_Flat_'explode$'(X0_40) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_40=iProver_Domain_'ZF_ZF_set_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'isZFfun$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_159] :
% 7.34/1.67 ( iProver_Flat_'isZFfun$'(X0_159) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_159=iProver_Domain_'ZF_bool_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'fun_app$c'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_31,X0_178,X0_21] :
% 7.34/1.67 ( iProver_Flat_'fun_app$c'(X0_31,X0_178,X0_21) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_31=iProver_Domain_'ZF_ZF_prod_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uyj$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_93,X0_36] :
% 7.34/1.67 ( iProver_Flat_'uyj$'(X0_93,X0_36) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_93=iProver_Domain_'Nat_ZF_set_set_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'vay$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_40,X0_189] :
% 7.34/1.67 ( iProver_Flat_'vay$'(X0_40,X0_189) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_40=iProver_Domain_'ZF_ZF_set_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'cartProd$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_75] :
% 7.34/1.67 ( iProver_Flat_'cartProd$'(X0_75) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_75=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'image$au'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_101,X0_129] :
% 7.34/1.67 ( iProver_Flat_'image$au'(X0_101,X0_129) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_101=iProver_Domain_'ZF_set_set_ZF_set_set_set_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'pair$c'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_108,X0_21,X0_175] :
% 7.34/1.67 ( iProver_Flat_'pair$c'(X0_108,X0_21,X0_175) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_108=iProver_Domain_'ZF_set_ZF_prod'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'fun_app$e'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_13,X0_59,X0_175] :
% 7.34/1.67 ( iProver_Flat_'fun_app$e'(X0_13,X0_59,X0_175) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_13=iProver_Domain_'ZF_ZF_ZF_prod_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uym$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_120] :
% 7.34/1.67 ( iProver_Flat_'uym$'(X0_120) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_120=iProver_Domain_'ZF_ZF_fun_ZF_ZF_fun_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'image$u'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_181,X0_166,X0_21] :
% 7.34/1.67 ( iProver_Flat_'image$u'(X0_181,X0_166,X0_21) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_181=iProver_Domain_'Nat_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'fun_app$bz'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_85,X0_20,X0_175] :
% 7.34/1.67 ( iProver_Flat_'fun_app$bz'(X0_85,X0_20,X0_175) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_85=iProver_Domain_'ZF_ZF_set_ZF_set_prod_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uuf$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_194] :
% 7.34/1.67 ( iProver_Flat_'uuf$'(X0_194) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_194=iProver_Domain_'ZF_ZF_bool_fun_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'dom$a'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_99,X0_140] :
% 7.34/1.67 ( iProver_Flat_'dom$a'(X0_99,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_99=iProver_Domain_'ZF_ZF_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'fun_app$r'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_21,X0_114,X0_92] :
% 7.34/1.67 ( iProver_Flat_'fun_app$r'(X0_21,X0_114,X0_92) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'fun_app$t'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_21,X0_22,X0_87] :
% 7.34/1.67 ( iProver_Flat_'fun_app$t'(X0_21,X0_22,X0_87) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'fun_app$i'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_169,X0_84,X0_36] :
% 7.34/1.67 ( iProver_Flat_'fun_app$i'(X0_169,X0_84,X0_36) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_169=iProver_Domain_'ZF_set_bool_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uup$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_99,X0_27,X0_73] :
% 7.34/1.67 ( iProver_Flat_'uup$'(X0_99,X0_27,X0_73) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_99=iProver_Domain_'ZF_ZF_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'uwj$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_169,X0_114,X0_181] :
% 7.34/1.67 ( iProver_Flat_'uwj$'(X0_169,X0_114,X0_181) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_169=iProver_Domain_'ZF_set_bool_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'image$ba'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_110,X0_137,X0_181] :
% 7.34/1.67 ( iProver_Flat_'image$ba'(X0_110,X0_137,X0_181) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_110=iProver_Domain_'ZF_ZF_prod_set_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'image$bk'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_183,X0_141,X0_36] :
% 7.34/1.67 ( iProver_Flat_'image$bk'(X0_183,X0_141,X0_36) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_183=iProver_Domain_'ZF_bool_fun_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'image$ao'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_45,X0_89,X0_21] :
% 7.34/1.67 ( iProver_Flat_'image$ao'(X0_45,X0_89,X0_21) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_45=iProver_Domain_'A_set_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'collect$a'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_31,X0_100] :
% 7.34/1.67 ( iProver_Flat_'collect$a'(X0_31,X0_100) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_31=iProver_Domain_'ZF_ZF_prod_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_'mor$'
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_134,X0_27] :
% 7.34/1.67 ( iProver_Flat_'mor$'(X0_134,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_134=iProver_Domain_'B_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK20
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_194,X1_175] :
% 7.34/1.67 ( iProver_Flat_sK20(X0_175,X0_194,X1_175) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK21
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_92,X0_26,X0_175] :
% 7.34/1.67 ( iProver_Flat_sK21(X0_92,X0_26,X0_175) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_92=iProver_Domain_'Nat'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK22
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_65,X0_47,X0_175] :
% 7.34/1.67 ( iProver_Flat_sK22(X0_65,X0_47,X0_175) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_65=iProver_Domain_'ZF_ZF_prod'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK23
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_99,X1_175] :
% 7.34/1.67 ( iProver_Flat_sK23(X0_175,X0_99,X1_175) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK24
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_40,X0_21] :
% 7.34/1.67 ( iProver_Flat_sK24(X0_175,X0_40,X0_21) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK25
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_92,X0_184,X0_175] :
% 7.34/1.67 ( iProver_Flat_sK25(X0_92,X0_184,X0_175) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_92=iProver_Domain_'Nat'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK26
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_92,X0_114,X0_21] :
% 7.34/1.67 ( iProver_Flat_sK26(X0_92,X0_114,X0_21) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_92=iProver_Domain_'Nat'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK27
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_140,X0_65] :
% 7.34/1.67 ( iProver_Flat_sK27(X0_175,X0_140,X0_65) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK28
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_140,X0_65] :
% 7.34/1.67 ( iProver_Flat_sK28(X0_175,X0_140,X0_65) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK29
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_73,X0_27,X0_118] :
% 7.34/1.67 ( iProver_Flat_sK29(X0_73,X0_27,X0_118) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK30
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_73,X0_27,X0_118] :
% 7.34/1.67 ( iProver_Flat_sK30(X0_73,X0_27,X0_118) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK31
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_65,X0_47,X0_31,X0_175] :
% 7.34/1.67 ( iProver_Flat_sK31(X0_65,X0_47,X0_31,X0_175) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_65=iProver_Domain_'ZF_ZF_prod'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK32
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_99,X0_21,X1_175] :
% 7.34/1.67 ( iProver_Flat_sK32(X0_175,X0_99,X0_21,X1_175) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK33
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_40,X0_21,X1_21] :
% 7.34/1.67 ( iProver_Flat_sK33(X0_175,X0_40,X0_21,X1_21) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK34
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_21,X0_154,X0_36,X0_175] :
% 7.34/1.67 ( iProver_Flat_sK34(X0_21,X0_154,X0_36,X0_175) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK35
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_92,X0_114,X0_181,X0_21] :
% 7.34/1.67 ( iProver_Flat_sK35(X0_92,X0_114,X0_181,X0_21) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_92=iProver_Domain_'Nat'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK36
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_73,X0_176,X0_134,X0_175] :
% 7.34/1.67 ( iProver_Flat_sK36(X0_73,X0_176,X0_134,X0_175) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK37
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_138,X0_167,X0_125,X0_175] :
% 7.34/1.67 ( iProver_Flat_sK37(X0_138,X0_167,X0_125,X0_175) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK38
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_65,X0_47,X0_100,X0_175] :
% 7.34/1.67 ( iProver_Flat_sK38(X0_65,X0_47,X0_100,X0_175) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_65=iProver_Domain_'ZF_ZF_prod'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK39
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_99,X0_159,X1_175] :
% 7.34/1.67 ( iProver_Flat_sK39(X0_175,X0_99,X0_159,X1_175) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK40
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_40,X0_159,X0_21] :
% 7.34/1.67 ( iProver_Flat_sK40(X0_175,X0_40,X0_159,X0_21) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK41
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_92,X0_114,X0_173,X0_21] :
% 7.34/1.67 ( iProver_Flat_sK41(X0_92,X0_114,X0_173,X0_21) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_92=iProver_Domain_'Nat'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK42
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_111,X1_111,X0_157,X1_157] :
% 7.34/1.67 ( iProver_Flat_sK42(X0_111,X1_111,X0_157,X1_157) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_111=iProver_Domain_'B_a_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK43
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_99,X1_99,X0_120,X1_120] :
% 7.34/1.67 ( iProver_Flat_sK43(X0_99,X1_99,X0_120,X1_120) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_99=iProver_Domain_'ZF_ZF_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK44
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_111,X1_111,X0_157,X1_157] :
% 7.34/1.67 ( iProver_Flat_sK44(X0_111,X1_111,X0_157,X1_157) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_111=iProver_Domain_'B_a_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK45
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_99,X1_99,X0_120,X1_120] :
% 7.34/1.67 ( iProver_Flat_sK45(X0_99,X1_99,X0_120,X1_120) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_99=iProver_Domain_'ZF_ZF_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK46
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_125,X1_125,X0_168,X1_168] :
% 7.34/1.67 ( iProver_Flat_sK46(X0_125,X1_125,X0_168,X1_168) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_125=iProver_Domain_'A_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK47
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_21,X1_21,X0_38,X1_38] :
% 7.34/1.67 ( iProver_Flat_sK47(X0_21,X1_21,X0_38,X1_38) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK48
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_125,X1_125,X0_168,X1_168] :
% 7.34/1.67 ( iProver_Flat_sK48(X0_125,X1_125,X0_168,X1_168) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_125=iProver_Domain_'A_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK49
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_21,X1_21,X0_38,X1_38] :
% 7.34/1.67 ( iProver_Flat_sK49(X0_21,X1_21,X0_38,X1_38) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK50
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_125,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK50(X0_125,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_125=iProver_Domain_'A_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK51
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_134,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK51(X0_134,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_134=iProver_Domain_'B_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK52
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_111,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK52(X0_111,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_111=iProver_Domain_'B_a_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK53
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_111,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK53(X0_111,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_111=iProver_Domain_'B_a_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK54
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_131,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK54(X0_131,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_131=iProver_Domain_'A_b_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK55
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_161,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK55(X0_161,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_161=iProver_Domain_'B_b_b_fun_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK56
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_49,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK56(X0_49,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_49=iProver_Domain_'B_c_LSCategory_ext'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK57
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_21,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK57(X0_21,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK58
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_21,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK58(X0_21,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK59
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_99,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK59(X0_99,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_99=iProver_Domain_'ZF_ZF_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK60
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_99,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK60(X0_99,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_99=iProver_Domain_'ZF_ZF_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK61
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_99,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK61(X0_99,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_99=iProver_Domain_'ZF_ZF_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK62
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_75,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK62(X0_75,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_75=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK63
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_172,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK63(X0_172,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_172=iProver_Domain_'Unit'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK64
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_159,X1_159] :
% 7.34/1.67 ( iProver_Flat_sK64(X0_175,X0_159,X1_159) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK65
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_140,X1_175] :
% 7.34/1.67 ( iProver_Flat_sK65(X0_175,X0_140,X1_175) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK66
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_73,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK66(X0_73,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK67
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_73,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK67(X0_73,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK68
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_138,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK68(X0_138,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK69
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_73,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK69(X0_73,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK70
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_73,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK70(X0_73,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK71
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_73,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK71(X0_73,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK72
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_138,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK72(X0_138,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK73
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_138,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK73(X0_138,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK74
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_73,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK74(X0_73,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK75
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_138,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK75(X0_138,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK76
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_73,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK76(X0_73,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK77
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_73,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK77(X0_73,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK78
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_73,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK78(X0_73,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK79
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK79(X0_175,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK80
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK80(X0_175,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK81
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK81(X0_175,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK82
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK82(X0_175,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK83
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK83(X0_175,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK84
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK84(X0_175,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK85
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK85(X0_175,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK86
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK86(X0_175,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK87
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK87(X0_175,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK88
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK88(X0_175,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK89
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK89(X0_175,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK90
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK90(X0_175,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK91
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK91(X0_175,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK92
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_73,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK92(X0_73,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK93
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_73,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK93(X0_73,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK94
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_73,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK94(X0_73,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK95
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_138,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK95(X0_138,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK96
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_138,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK96(X0_138,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK97
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_73,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK97(X0_73,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK98
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_138,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK98(X0_138,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK99
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_73,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK99(X0_73,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK100
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_73,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK100(X0_73,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK101
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_73,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK101(X0_73,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK102
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_73,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK102(X0_73,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK103
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_73,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK103(X0_73,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK104
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_138,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK104(X0_138,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK105
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK105(X0_175,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK106
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK106(X0_175,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK107
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK107(X0_175,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK108
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK108(X0_175,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK109
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK109(X0_175,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK110
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK110(X0_175,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK111
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK111(X0_175,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK112
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK112(X0_175,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK113
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK113(X0_175,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK114
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK114(X0_175,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK115
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK115(X0_175,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK116
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK116(X0_175,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK117
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK117(X0_175,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK118
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_140,X1_175,X2_175] :
% 7.34/1.67 ( iProver_Flat_sK118(X0_175,X0_140,X1_175,X2_175) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK119
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_159,X1_175] :
% 7.34/1.67 ( iProver_Flat_sK119(X0_175,X0_159,X1_175) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK120
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_159,X1_175] :
% 7.34/1.67 ( iProver_Flat_sK120(X0_175,X0_159,X1_175) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK121
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_159,X1_175] :
% 7.34/1.67 ( iProver_Flat_sK121(X0_175,X0_159,X1_175) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK122
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_159,X1_159] :
% 7.34/1.67 ( iProver_Flat_sK122(X0_175,X0_159,X1_159) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK123
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_159,X1_175] :
% 7.34/1.67 ( iProver_Flat_sK123(X0_175,X0_159,X1_175) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK124
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_159,X1_159] :
% 7.34/1.67 ( iProver_Flat_sK124(X0_175,X0_159,X1_159) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK125
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_159,X1_175] :
% 7.34/1.67 ( iProver_Flat_sK125(X0_175,X0_159,X1_175) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK126
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_159,X1_175] :
% 7.34/1.67 ( iProver_Flat_sK126(X0_175,X0_159,X1_175) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK127
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_75,X0_47] :
% 7.34/1.67 ( iProver_Flat_sK127(X0_175,X0_75,X0_47) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK128
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_75,X0_47] :
% 7.34/1.67 ( iProver_Flat_sK128(X0_175,X0_75,X0_47) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK129
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_159,X0_75,X0_65] :
% 7.34/1.67 ( iProver_Flat_sK129(X0_175,X0_159,X0_75,X0_65) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK130
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_159,X0_75,X0_65] :
% 7.34/1.67 ( iProver_Flat_sK130(X0_175,X0_159,X0_75,X0_65) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK131
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X1_175,X0_99,X1_99] :
% 7.34/1.67 ( iProver_Flat_sK131(X0_175,X1_175,X0_99,X1_99) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK132
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X1_175,X0_99,X2_175] :
% 7.34/1.67 ( iProver_Flat_sK132(X0_175,X1_175,X0_99,X2_175) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK133
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X1_175,X2_175] :
% 7.34/1.67 ( iProver_Flat_sK133(X0_175,X1_175,X2_175) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK134
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_21,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK134(X0_21,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK135
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_21,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK135(X0_21,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK136
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_99,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK136(X0_99,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_99=iProver_Domain_'ZF_ZF_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK137
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_99,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK137(X0_99,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_99=iProver_Domain_'ZF_ZF_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK138
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_99,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK138(X0_99,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_99=iProver_Domain_'ZF_ZF_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK139
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_75,X0_140] :
% 7.34/1.67 ( iProver_Flat_sK139(X0_75,X0_140) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_75=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK140
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X1_175,X0_99,X2_175] :
% 7.34/1.67 ( iProver_Flat_sK140(X0_175,X1_175,X0_99,X2_175) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK141
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_134,X1_134,X0_155,X1_155] :
% 7.34/1.67 ( iProver_Flat_sK141(X0_134,X1_134,X0_155,X1_155) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_134=iProver_Domain_'B_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK142
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_21,X1_21,X0_38,X1_38] :
% 7.34/1.67 ( iProver_Flat_sK142(X0_21,X1_21,X0_38,X1_38) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK143
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_134,X1_134,X0_155,X1_155] :
% 7.34/1.67 ( iProver_Flat_sK143(X0_134,X1_134,X0_155,X1_155) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_134=iProver_Domain_'B_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK144
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_21,X1_21,X0_38,X1_38] :
% 7.34/1.67 ( iProver_Flat_sK144(X0_21,X1_21,X0_38,X1_38) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK145
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_138,X0_125,X0_123] :
% 7.34/1.67 ( iProver_Flat_sK145(X0_138,X0_125,X0_123) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK146
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_73,X0_134,X0_187] :
% 7.34/1.67 ( iProver_Flat_sK146(X0_73,X0_134,X0_187) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK147
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_21,X0_36,X0_169] :
% 7.34/1.67 ( iProver_Flat_sK147(X0_21,X0_36,X0_169) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK148
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_21,X0_159] :
% 7.34/1.67 ( iProver_Flat_sK148(X0_175,X0_21,X0_159) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK149
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_138,X0_125,X0_123,X1_123] :
% 7.34/1.67 ( iProver_Flat_sK149(X0_138,X0_125,X0_123,X1_123) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK150
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_73,X0_134,X0_187,X1_187] :
% 7.34/1.67 ( iProver_Flat_sK150(X0_73,X0_134,X0_187,X1_187) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK151
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_21,X0_36,X0_169,X1_169] :
% 7.34/1.67 ( iProver_Flat_sK151(X0_21,X0_36,X0_169,X1_169) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK152
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_21,X0_159,X1_159] :
% 7.34/1.67 ( iProver_Flat_sK152(X0_175,X0_21,X0_159,X1_159) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK153
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_75,X1_75,X0_165,X1_165] :
% 7.34/1.67 ( iProver_Flat_sK153(X0_75,X1_75,X0_165,X1_165) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_75=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK154
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_75,X1_75,X0_165,X1_165] :
% 7.34/1.67 ( iProver_Flat_sK154(X0_75,X1_75,X0_165,X1_165) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_75=iProver_Domain_'ZF_ZF_ZF_fun_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK155
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_99,X1_99,X0_120,X1_120] :
% 7.34/1.67 ( iProver_Flat_sK155(X0_99,X1_99,X0_120,X1_120) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_99=iProver_Domain_'ZF_ZF_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK156
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_99,X1_99,X0_120,X1_120] :
% 7.34/1.67 ( iProver_Flat_sK156(X0_99,X1_99,X0_120,X1_120) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_99=iProver_Domain_'ZF_ZF_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK157
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_99,X1_99,X0_120,X1_120] :
% 7.34/1.67 ( iProver_Flat_sK157(X0_99,X1_99,X0_120,X1_120) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_99=iProver_Domain_'ZF_ZF_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK158
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_99,X1_99,X0_120,X1_120] :
% 7.34/1.67 ( iProver_Flat_sK158(X0_99,X1_99,X0_120,X1_120) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_99=iProver_Domain_'ZF_ZF_fun'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK159
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_65,X0_100,X0_47,X0_21] :
% 7.34/1.67 ( iProver_Flat_sK159(X0_65,X0_100,X0_47,X0_21) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_65=iProver_Domain_'ZF_ZF_prod'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK160
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_92,X0_173,X0_114,X0_36] :
% 7.34/1.67 ( iProver_Flat_sK160(X0_92,X0_173,X0_114,X0_36) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_92=iProver_Domain_'Nat'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK161
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_159,X0_112,X0_125] :
% 7.34/1.67 ( iProver_Flat_sK161(X0_175,X0_159,X0_112,X0_125) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK162
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_159,X0_90,X0_134] :
% 7.34/1.67 ( iProver_Flat_sK162(X0_175,X0_159,X0_90,X0_134) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK163
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_159,X0_99,X0_21] :
% 7.34/1.67 ( iProver_Flat_sK163(X0_175,X0_159,X0_99,X0_21) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK164
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_159,X0_40,X0_36] :
% 7.34/1.67 ( iProver_Flat_sK164(X0_175,X0_159,X0_40,X0_36) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK165
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_138,X1_138,X0_158,X0_125] :
% 7.34/1.67 ( iProver_Flat_sK165(X0_138,X1_138,X0_158,X0_125) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK166
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_73,X0_138,X0_111,X0_134] :
% 7.34/1.67 ( iProver_Flat_sK166(X0_73,X0_138,X0_111,X0_134) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK167
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_138,X0_112,X0_21] :
% 7.34/1.67 ( iProver_Flat_sK167(X0_175,X0_138,X0_112,X0_21) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK168
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_138,X0_73,X0_131,X0_125] :
% 7.34/1.67 ( iProver_Flat_sK168(X0_138,X0_73,X0_131,X0_125) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK169
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_73,X1_73,X0_53,X0_134] :
% 7.34/1.67 ( iProver_Flat_sK169(X0_73,X1_73,X0_53,X0_134) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK170
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X0_73,X0_90,X0_21] :
% 7.34/1.67 ( iProver_Flat_sK170(X0_175,X0_73,X0_90,X0_21) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK171
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_138,X0_175,X0_167,X0_125] :
% 7.34/1.67 ( iProver_Flat_sK171(X0_138,X0_175,X0_167,X0_125) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK172
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_73,X0_175,X0_176,X0_134] :
% 7.34/1.67 ( iProver_Flat_sK172(X0_73,X0_175,X0_176,X0_134) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK173
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_175,X1_175,X0_99,X0_21] :
% 7.34/1.67 ( iProver_Flat_sK173(X0_175,X1_175,X0_99,X0_21) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK174
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_21,X0_138,X0_78,X0_36] :
% 7.34/1.67 ( iProver_Flat_sK174(X0_21,X0_138,X0_78,X0_36) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK175
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_73,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK175(X0_73,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK176
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_73,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK176(X0_73,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK177
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_138,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK177(X0_138,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.67 )
% 7.34/1.67
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 )
% 7.34/1.67 ).
% 7.34/1.67
% 7.34/1.67 %------ Positive definition of iProver_Flat_sK178
% 7.34/1.67 fof(lit_def,axiom,
% 7.34/1.67 (! [X0_138,X0_27] :
% 7.34/1.67 ( iProver_Flat_sK178(X0_138,X0_27) <=>
% 7.34/1.67 (
% 7.34/1.67 (
% 7.34/1.67 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK179
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_73,X0_27] :
% 7.34/1.68 ( iProver_Flat_sK179(X0_73,X0_27) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK180
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_73,X0_27] :
% 7.34/1.68 ( iProver_Flat_sK180(X0_73,X0_27) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK181
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_138,X0_27] :
% 7.34/1.68 ( iProver_Flat_sK181(X0_138,X0_27) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK182
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_138,X0_27] :
% 7.34/1.68 ( iProver_Flat_sK182(X0_138,X0_27) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK183
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_65,X0_175,X0_47] :
% 7.34/1.68 ( iProver_Flat_sK183(X0_65,X0_175,X0_47) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_65=iProver_Domain_'ZF_ZF_prod'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK184
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_175,X0_138,X0_112] :
% 7.34/1.68 ( iProver_Flat_sK184(X0_175,X0_138,X0_112) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK185
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_175,X0_73,X0_90] :
% 7.34/1.68 ( iProver_Flat_sK185(X0_175,X0_73,X0_90) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK186
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_175,X1_175,X0_99] :
% 7.34/1.68 ( iProver_Flat_sK186(X0_175,X1_175,X0_99) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK187
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_175,X0_21,X0_40] :
% 7.34/1.68 ( iProver_Flat_sK187(X0_175,X0_21,X0_40) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK188
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_92,X0_138,X0_44] :
% 7.34/1.68 ( iProver_Flat_sK188(X0_92,X0_138,X0_44) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_92=iProver_Domain_'Nat'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK189
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_92,X0_73,X0_148] :
% 7.34/1.68 ( iProver_Flat_sK189(X0_92,X0_73,X0_148) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_92=iProver_Domain_'Nat'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK190
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_92,X0_175,X0_184] :
% 7.34/1.68 ( iProver_Flat_sK190(X0_92,X0_175,X0_184) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_92=iProver_Domain_'Nat'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK191
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_92,X0_21,X0_114] :
% 7.34/1.68 ( iProver_Flat_sK191(X0_92,X0_21,X0_114) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_92=iProver_Domain_'Nat'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK192
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_175,X0_21,X0_40,X1_40] :
% 7.34/1.68 ( iProver_Flat_sK192(X0_175,X0_21,X0_40,X1_40) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK193
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_175,X0_21,X0_40] :
% 7.34/1.68 ( iProver_Flat_sK193(X0_175,X0_21,X0_40) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK194
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_138,X1_138,X0_127,X0_125] :
% 7.34/1.68 ( iProver_Flat_sK194(X0_138,X1_138,X0_127,X0_125) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK195
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_73,X0_138,X0_66,X0_134] :
% 7.34/1.68 ( iProver_Flat_sK195(X0_73,X0_138,X0_66,X0_134) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK196
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_175,X0_138,X0_89,X0_21] :
% 7.34/1.68 ( iProver_Flat_sK196(X0_175,X0_138,X0_89,X0_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK197
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_138,X0_73,X0_147,X0_125] :
% 7.34/1.68 ( iProver_Flat_sK197(X0_138,X0_73,X0_147,X0_125) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK198
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_73,X1_73,X0_190,X0_134] :
% 7.34/1.68 ( iProver_Flat_sK198(X0_73,X1_73,X0_190,X0_134) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK199
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_175,X0_73,X0_29,X0_21] :
% 7.34/1.68 ( iProver_Flat_sK199(X0_175,X0_73,X0_29,X0_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK200
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_92,X0_175,X0_114,X0_181] :
% 7.34/1.68 ( iProver_Flat_sK200(X0_92,X0_175,X0_114,X0_181) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_92=iProver_Domain_'Nat'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK201
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_138,X0_175,X0_76,X0_125] :
% 7.34/1.68 ( iProver_Flat_sK201(X0_138,X0_175,X0_76,X0_125) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK202
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_73,X0_175,X0_80,X0_134] :
% 7.34/1.68 ( iProver_Flat_sK202(X0_73,X0_175,X0_80,X0_134) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK203
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_175,X1_175,X0_40,X0_21] :
% 7.34/1.68 ( iProver_Flat_sK203(X0_175,X1_175,X0_40,X0_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK204
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_21,X0_181,X0_114,X1_21] :
% 7.34/1.68 ( iProver_Flat_sK204(X0_21,X0_181,X0_114,X1_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK205
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_92,X0_181,X0_114,X0_21] :
% 7.34/1.68 ( iProver_Flat_sK205(X0_92,X0_181,X0_114,X0_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_92=iProver_Domain_'Nat'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK206
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_21,X0_125,X0_76,X1_21] :
% 7.34/1.68 ( iProver_Flat_sK206(X0_21,X0_125,X0_76,X1_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK207
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_138,X0_125,X0_76,X0_21] :
% 7.34/1.68 ( iProver_Flat_sK207(X0_138,X0_125,X0_76,X0_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK208
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_21,X0_134,X0_80,X1_21] :
% 7.34/1.68 ( iProver_Flat_sK208(X0_21,X0_134,X0_80,X1_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK209
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_73,X0_134,X0_80,X0_21] :
% 7.34/1.68 ( iProver_Flat_sK209(X0_73,X0_134,X0_80,X0_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK210
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_21,X1_21,X0_40,X2_21] :
% 7.34/1.68 ( iProver_Flat_sK210(X0_21,X1_21,X0_40,X2_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK211
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_175,X0_21,X0_40,X1_21] :
% 7.34/1.68 ( iProver_Flat_sK211(X0_175,X0_21,X0_40,X1_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK212
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_21,X0_36,X0_38,X1_21] :
% 7.34/1.68 ( iProver_Flat_sK212(X0_21,X0_36,X0_38,X1_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK213
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_21,X0_36,X0_38,X1_21] :
% 7.34/1.68 ( iProver_Flat_sK213(X0_21,X0_36,X0_38,X1_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK214
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_92,X0_181,X1_181,X0_114,X1_114] :
% 7.34/1.68 ( iProver_Flat_sK214(X0_92,X0_181,X1_181,X0_114,X1_114) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_92=iProver_Domain_'Nat'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK215
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_92,X0_181,X0_125,X0_114,X0_76] :
% 7.34/1.68 ( iProver_Flat_sK215(X0_92,X0_181,X0_125,X0_114,X0_76) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_92=iProver_Domain_'Nat'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK216
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_92,X0_181,X0_134,X0_114,X0_80] :
% 7.34/1.68 ( iProver_Flat_sK216(X0_92,X0_181,X0_134,X0_114,X0_80) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_92=iProver_Domain_'Nat'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK217
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_92,X0_181,X0_21,X0_114,X0_40] :
% 7.34/1.68 ( iProver_Flat_sK217(X0_92,X0_181,X0_21,X0_114,X0_40) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_92=iProver_Domain_'Nat'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK218
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_138,X0_125,X0_181,X0_76,X0_114] :
% 7.34/1.68 ( iProver_Flat_sK218(X0_138,X0_125,X0_181,X0_76,X0_114) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK219
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_138,X0_125,X1_125,X0_76,X1_76] :
% 7.34/1.68 ( iProver_Flat_sK219(X0_138,X0_125,X1_125,X0_76,X1_76) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK220
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_138,X0_125,X0_134,X0_76,X0_80] :
% 7.34/1.68 ( iProver_Flat_sK220(X0_138,X0_125,X0_134,X0_76,X0_80) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK221
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_138,X0_125,X0_21,X0_76,X0_40] :
% 7.34/1.68 ( iProver_Flat_sK221(X0_138,X0_125,X0_21,X0_76,X0_40) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK222
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_73,X0_134,X0_181,X0_80,X0_114] :
% 7.34/1.68 ( iProver_Flat_sK222(X0_73,X0_134,X0_181,X0_80,X0_114) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK223
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_73,X0_134,X0_125,X0_80,X0_76] :
% 7.34/1.68 ( iProver_Flat_sK223(X0_73,X0_134,X0_125,X0_80,X0_76) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK224
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_92,X0_181,X0_114,X0_21] :
% 7.34/1.68 ( iProver_Flat_sK224(X0_92,X0_181,X0_114,X0_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_92=iProver_Domain_'Nat'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK225
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_138,X0_125,X0_76,X0_21] :
% 7.34/1.68 ( iProver_Flat_sK225(X0_138,X0_125,X0_76,X0_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK226
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_73,X0_134,X0_80,X0_21] :
% 7.34/1.68 ( iProver_Flat_sK226(X0_73,X0_134,X0_80,X0_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK227
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_175,X0_21,X0_40,X1_21] :
% 7.34/1.68 ( iProver_Flat_sK227(X0_175,X0_21,X0_40,X1_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK228
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_21,X0_36,X0_38,X1_21] :
% 7.34/1.68 ( iProver_Flat_sK228(X0_21,X0_36,X0_38,X1_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK229
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_175,X0_40,X1_40] :
% 7.34/1.68 ( iProver_Flat_sK229(X0_175,X0_40,X1_40) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK230
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_92,X0_114,X1_114] :
% 7.34/1.68 ( iProver_Flat_sK230(X0_92,X0_114,X1_114) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_92=iProver_Domain_'Nat'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK231
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_92,X0_114,X0_181,X0_21] :
% 7.34/1.68 ( iProver_Flat_sK231(X0_92,X0_114,X0_181,X0_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_92=iProver_Domain_'Nat'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK232
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_138,X0_76,X0_125,X0_21] :
% 7.34/1.68 ( iProver_Flat_sK232(X0_138,X0_76,X0_125,X0_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK233
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_73,X0_80,X0_134,X0_21] :
% 7.34/1.68 ( iProver_Flat_sK233(X0_73,X0_80,X0_134,X0_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK234
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_175,X0_40,X0_21,X1_21] :
% 7.34/1.68 ( iProver_Flat_sK234(X0_175,X0_40,X0_21,X1_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK235
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_21,X0_38,X0_36,X1_21] :
% 7.34/1.68 ( iProver_Flat_sK235(X0_21,X0_38,X0_36,X1_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK236
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_92,X0_181,X0_114,X1_114] :
% 7.34/1.68 ( iProver_Flat_sK236(X0_92,X0_181,X0_114,X1_114) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_92=iProver_Domain_'Nat'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK237
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_138,X0_125,X0_76,X1_76] :
% 7.34/1.68 ( iProver_Flat_sK237(X0_138,X0_125,X0_76,X1_76) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK238
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_73,X0_134,X0_80,X1_80] :
% 7.34/1.68 ( iProver_Flat_sK238(X0_73,X0_134,X0_80,X1_80) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK239
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_175,X0_21,X0_40,X1_40] :
% 7.34/1.68 ( iProver_Flat_sK239(X0_175,X0_21,X0_40,X1_40) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK240
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_21,X0_36,X0_38,X1_38] :
% 7.34/1.68 ( iProver_Flat_sK240(X0_21,X0_36,X0_38,X1_38) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK241
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_92,X0_181,X0_114,X0_21] :
% 7.34/1.68 ( iProver_Flat_sK241(X0_92,X0_181,X0_114,X0_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_92=iProver_Domain_'Nat'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK242
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_138,X0_125,X0_76,X0_21] :
% 7.34/1.68 ( iProver_Flat_sK242(X0_138,X0_125,X0_76,X0_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK243
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_73,X0_134,X0_80,X0_21] :
% 7.34/1.68 ( iProver_Flat_sK243(X0_73,X0_134,X0_80,X0_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK244
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_175,X0_21,X0_40,X1_21] :
% 7.34/1.68 ( iProver_Flat_sK244(X0_175,X0_21,X0_40,X1_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK245
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_21,X0_36,X0_38,X1_21] :
% 7.34/1.68 ( iProver_Flat_sK245(X0_21,X0_36,X0_38,X1_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK246
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_92,X0_114,X0_181,X0_21] :
% 7.34/1.68 ( iProver_Flat_sK246(X0_92,X0_114,X0_181,X0_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_92=iProver_Domain_'Nat'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK247
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_138,X0_76,X0_125,X0_21] :
% 7.34/1.68 ( iProver_Flat_sK247(X0_138,X0_76,X0_125,X0_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK248
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_73,X0_80,X0_134,X0_21] :
% 7.34/1.68 ( iProver_Flat_sK248(X0_73,X0_80,X0_134,X0_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK249
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_175,X0_40,X0_21,X1_21] :
% 7.34/1.68 ( iProver_Flat_sK249(X0_175,X0_40,X0_21,X1_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK250
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_21,X0_38,X0_36,X1_21] :
% 7.34/1.68 ( iProver_Flat_sK250(X0_21,X0_38,X0_36,X1_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK251
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_138,X1_138,X0_127,X0_125] :
% 7.34/1.68 ( iProver_Flat_sK251(X0_138,X1_138,X0_127,X0_125) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK252
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_73,X0_138,X0_66,X0_134] :
% 7.34/1.68 ( iProver_Flat_sK252(X0_73,X0_138,X0_66,X0_134) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK253
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_175,X0_138,X0_89,X0_21] :
% 7.34/1.68 ( iProver_Flat_sK253(X0_175,X0_138,X0_89,X0_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK254
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_138,X0_73,X0_147,X0_125] :
% 7.34/1.68 ( iProver_Flat_sK254(X0_138,X0_73,X0_147,X0_125) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK255
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_73,X1_73,X0_190,X0_134] :
% 7.34/1.68 ( iProver_Flat_sK255(X0_73,X1_73,X0_190,X0_134) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK256
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_175,X0_73,X0_29,X0_21] :
% 7.34/1.68 ( iProver_Flat_sK256(X0_175,X0_73,X0_29,X0_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK257
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_92,X0_175,X0_114,X0_181] :
% 7.34/1.68 ( iProver_Flat_sK257(X0_92,X0_175,X0_114,X0_181) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_92=iProver_Domain_'Nat'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK258
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_138,X0_175,X0_76,X0_125] :
% 7.34/1.68 ( iProver_Flat_sK258(X0_138,X0_175,X0_76,X0_125) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK259
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_73,X0_175,X0_80,X0_134] :
% 7.34/1.68 ( iProver_Flat_sK259(X0_73,X0_175,X0_80,X0_134) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK260
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_175,X1_175,X0_40,X0_21] :
% 7.34/1.68 ( iProver_Flat_sK260(X0_175,X1_175,X0_40,X0_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK261
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_92,X0_181,X0_114,X1_114] :
% 7.34/1.68 ( iProver_Flat_sK261(X0_92,X0_181,X0_114,X1_114) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_92=iProver_Domain_'Nat'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK262
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_138,X0_125,X0_76,X1_76] :
% 7.34/1.68 ( iProver_Flat_sK262(X0_138,X0_125,X0_76,X1_76) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK263
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_73,X0_134,X0_80,X1_80] :
% 7.34/1.68 ( iProver_Flat_sK263(X0_73,X0_134,X0_80,X1_80) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK264
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_175,X0_21,X0_40,X1_40] :
% 7.34/1.68 ( iProver_Flat_sK264(X0_175,X0_21,X0_40,X1_40) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK265
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_21,X0_36,X0_38,X1_38] :
% 7.34/1.68 ( iProver_Flat_sK265(X0_21,X0_36,X0_38,X1_38) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK266
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_92,X0_114] :
% 7.34/1.68 ( iProver_Flat_sK266(X0_92,X0_114) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_92=iProver_Domain_'Nat'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK267
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_92,X0_181,X0_114,X0_21] :
% 7.34/1.68 ( iProver_Flat_sK267(X0_92,X0_181,X0_114,X0_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_92=iProver_Domain_'Nat'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK268
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_138,X0_125,X0_76,X0_21] :
% 7.34/1.68 ( iProver_Flat_sK268(X0_138,X0_125,X0_76,X0_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK269
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_73,X0_134,X0_80,X0_21] :
% 7.34/1.68 ( iProver_Flat_sK269(X0_73,X0_134,X0_80,X0_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK270
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_175,X0_21,X0_40,X1_21] :
% 7.34/1.68 ( iProver_Flat_sK270(X0_175,X0_21,X0_40,X1_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK271
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_21,X0_36,X0_38,X1_21] :
% 7.34/1.68 ( iProver_Flat_sK271(X0_21,X0_36,X0_38,X1_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_21=iProver_Domain_'ZF_set'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK272
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_138,X1_138,X0_127,X0_125] :
% 7.34/1.68 ( iProver_Flat_sK272(X0_138,X1_138,X0_127,X0_125) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK273
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_73,X0_138,X0_66,X0_134] :
% 7.34/1.68 ( iProver_Flat_sK273(X0_73,X0_138,X0_66,X0_134) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK274
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_175,X0_138,X0_89,X0_21] :
% 7.34/1.68 ( iProver_Flat_sK274(X0_175,X0_138,X0_89,X0_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK275
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_138,X0_73,X0_147,X0_125] :
% 7.34/1.68 ( iProver_Flat_sK275(X0_138,X0_73,X0_147,X0_125) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK276
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_73,X1_73,X0_190,X0_134] :
% 7.34/1.68 ( iProver_Flat_sK276(X0_73,X1_73,X0_190,X0_134) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK277
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_175,X0_73,X0_29,X0_21] :
% 7.34/1.68 ( iProver_Flat_sK277(X0_175,X0_73,X0_29,X0_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK278
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_92,X0_175,X0_114,X0_181] :
% 7.34/1.68 ( iProver_Flat_sK278(X0_92,X0_175,X0_114,X0_181) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_92=iProver_Domain_'Nat'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK279
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_138,X0_175,X0_76,X0_125] :
% 7.34/1.68 ( iProver_Flat_sK279(X0_138,X0_175,X0_76,X0_125) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK280
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_73,X0_175,X0_80,X0_134] :
% 7.34/1.68 ( iProver_Flat_sK280(X0_73,X0_175,X0_80,X0_134) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK281
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_175,X1_175,X0_40,X0_21] :
% 7.34/1.68 ( iProver_Flat_sK281(X0_175,X1_175,X0_40,X0_21) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK282
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_92,X0_181,X0_175,X0_114] :
% 7.34/1.68 ( iProver_Flat_sK282(X0_92,X0_181,X0_175,X0_114) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_92=iProver_Domain_'Nat'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK283
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_138,X0_125,X1_138,X0_127] :
% 7.34/1.68 ( iProver_Flat_sK283(X0_138,X0_125,X1_138,X0_127) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK284
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_138,X0_125,X0_73,X0_147] :
% 7.34/1.68 ( iProver_Flat_sK284(X0_138,X0_125,X0_73,X0_147) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK285
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_138,X0_125,X0_175,X0_76] :
% 7.34/1.68 ( iProver_Flat_sK285(X0_138,X0_125,X0_175,X0_76) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_138=iProver_Domain_'A'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK286
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_73,X0_134,X0_138,X0_66] :
% 7.34/1.68 ( iProver_Flat_sK286(X0_73,X0_134,X0_138,X0_66) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK287
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_73,X0_134,X1_73,X0_190] :
% 7.34/1.68 ( iProver_Flat_sK287(X0_73,X0_134,X1_73,X0_190) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK288
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_73,X0_134,X0_175,X0_80] :
% 7.34/1.68 ( iProver_Flat_sK288(X0_73,X0_134,X0_175,X0_80) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_73=iProver_Domain_'B'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK289
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_175,X0_21,X0_138,X0_89] :
% 7.34/1.68 ( iProver_Flat_sK289(X0_175,X0_21,X0_138,X0_89) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK290
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_175,X0_21,X0_73,X0_29] :
% 7.34/1.68 ( iProver_Flat_sK290(X0_175,X0_21,X0_73,X0_29) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68
% 7.34/1.68 %------ Positive definition of iProver_Flat_sK291
% 7.34/1.68 fof(lit_def,axiom,
% 7.34/1.68 (! [X0_175,X0_21,X1_175,X0_40] :
% 7.34/1.68 ( iProver_Flat_sK291(X0_175,X0_21,X1_175,X0_40) <=>
% 7.34/1.68 (
% 7.34/1.68 (
% 7.34/1.68 ( X0_175=iProver_Domain_'ZF'_1 )
% 7.34/1.68 )
% 7.34/1.68
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 )
% 7.34/1.68 ).
% 7.34/1.68 % SZS output end Model for theBenchmark.p
% 7.34/1.68
%------------------------------------------------------------------------------