0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : run_iprover %s %d SAT 0.12/0.34 % Computer : n013.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 960 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Wed Jul 30 07:40:34 EDT 2025 0.12/0.34 % CPUTime : 0.47/0.64 Running model finding 0.47/0.64 Running: /export/starexec/sandbox/solver/bin/run_problem --no_cores 8 --heuristic_context fnt --schedule fnt_schedule /export/starexec/sandbox/benchmark/theBenchmark.p 120 7.35/1.77 % SZS status Started for theBenchmark.p 7.35/1.77 % SZS status Satisfiable for theBenchmark.p 7.35/1.77 7.35/1.77 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------% 7.35/1.77 7.35/1.77 ------ iProver source info 7.35/1.77 7.35/1.77 git: date: 2024-06-12 09:56:46 +0000 7.35/1.77 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49 7.35/1.77 git: non_committed_changes: false 7.35/1.77 7.35/1.77 ------ Parsing... 7.35/1.77 ------ Clausification by vclausify_rel & Parsing by iProver... 7.35/1.77 ------ Proving... 7.35/1.77 ------ Problem Properties 7.35/1.77 7.35/1.77 7.35/1.77 clauses 910 7.35/1.77 conjectures 1 7.35/1.77 EPR 99 7.35/1.77 Horn 822 7.35/1.77 unary 351 7.35/1.77 binary 343 7.35/1.77 lits 1785 7.35/1.77 lits eq 662 7.35/1.77 fd_pure 0 7.35/1.77 fd_pseudo 0 7.35/1.77 fd_cond 21 7.35/1.77 fd_pseudo_cond 31 7.35/1.77 AC symbols 0 7.35/1.77 7.35/1.77 ------ Input Options Time Limit: Unbounded 7.35/1.77 7.35/1.77 7.35/1.77 ------ Finite Models: 7.35/1.77 7.35/1.77 ------ lit_activity_flag true 7.35/1.77 7.35/1.77 7.35/1.77 ------ Trying domains of size >= : 1 7.35/1.77 7.35/1.77 ------ Trying domains of size >= : 2 7.35/1.77 7.35/1.77 ------ Trying domains of size >= : 2 7.35/1.77 ------ 7.35/1.77 Current options: 7.35/1.77 ------ 7.35/1.77 7.35/1.77 ------ Input Options 7.35/1.77 7.35/1.77 --out_options all 7.35/1.77 --tptp_safe_out true 7.35/1.77 --problem_path "" 7.35/1.77 --include_path "" 7.35/1.77 --clausifier res/vclausify_rel 7.35/1.77 --clausifier_options --mode tclausify --show_fool true -t 124.99 -updr off 7.35/1.77 --stdin false 7.35/1.77 --proof_out true 7.35/1.77 --proof_dot_file "" 7.35/1.77 --proof_reduce_dot [] 7.35/1.77 --suppress_sat_res false 7.35/1.77 --suppress_unsat_res true 7.35/1.77 --stats_out none 7.35/1.77 --stats_mem false 7.35/1.77 --theory_stats_out false 7.35/1.77 7.35/1.77 ------ General Options 7.35/1.77 7.35/1.77 --fof false 7.35/1.77 --time_out_real 124.99 7.35/1.77 --time_out_virtual -1. 7.35/1.77 --rnd_seed 13 7.35/1.77 --symbol_type_check false 7.35/1.77 --clausify_out false 7.35/1.77 --sig_cnt_out false 7.35/1.77 --trig_cnt_out false 7.35/1.77 --trig_cnt_out_tolerance 1. 7.35/1.77 --trig_cnt_out_sk_spl false 7.35/1.77 --abstr_cl_out false 7.35/1.77 7.35/1.77 ------ Interactive Mode 7.35/1.77 7.35/1.77 --interactive_mode false 7.35/1.77 --external_ip_address "" 7.35/1.77 --external_port 0 7.35/1.77 7.35/1.77 ------ Global Options 7.35/1.77 7.35/1.77 --schedule none 7.35/1.77 --add_important_lit false 7.35/1.77 --prop_solver_per_cl 500 7.35/1.77 --subs_bck_mult 8 7.35/1.77 --min_unsat_core false 7.35/1.77 --soft_assumptions false 7.35/1.77 --soft_lemma_size 3 7.35/1.77 --prop_impl_unit_size 0 7.35/1.77 --prop_impl_unit [] 7.35/1.77 --share_sel_clauses true 7.35/1.77 --reset_solvers false 7.35/1.77 --bc_imp_inh [conj_cone] 7.35/1.77 --conj_cone_tolerance 3. 7.35/1.77 --extra_neg_conj none 7.35/1.77 --large_theory_mode true 7.35/1.77 --prolific_symb_bound 200 7.35/1.77 --lt_threshold 2000 7.35/1.77 --clause_weak_htbl true 7.35/1.77 --gc_record_bc_elim false 7.35/1.77 7.35/1.77 ------ Preprocessing Options 7.35/1.77 7.35/1.77 --preprocessing_flag false 7.35/1.77 --time_out_prep_mult 0.1 7.35/1.77 --splitting_mode input 7.35/1.77 --splitting_grd true 7.35/1.77 --splitting_cvd false 7.35/1.77 --splitting_cvd_svl false 7.35/1.77 --splitting_nvd 32 7.35/1.77 --sub_typing false 7.35/1.77 --prep_eq_flat_conj true 7.35/1.77 --prep_eq_flat_all_gr false 7.35/1.77 --prep_gs_sim true 7.35/1.77 --prep_unflatten true 7.35/1.77 --prep_res_sim true 7.35/1.77 --prep_sup_sim_all true 7.35/1.77 --prep_sup_sim_sup false 7.35/1.77 --prep_upred true 7.35/1.77 --prep_well_definedness true 7.35/1.77 --prep_sem_filter exhaustive 7.35/1.77 --prep_sem_filter_out false 7.35/1.77 --pred_elim true 7.35/1.77 --res_sim_input true 7.35/1.77 --eq_ax_congr_red true 7.35/1.77 --pure_diseq_elim true 7.35/1.77 --brand_transform false 7.35/1.77 --non_eq_to_eq false 7.35/1.77 --prep_def_merge true 7.35/1.77 --prep_def_merge_prop_impl false 7.35/1.77 --prep_def_merge_mbd true 7.35/1.77 --prep_def_merge_tr_red false 7.35/1.77 --prep_def_merge_tr_cl false 7.35/1.77 --smt_preprocessing false 7.35/1.77 --smt_ac_axioms fast 7.35/1.77 --preprocessed_out false 7.35/1.77 --preprocessed_stats false 7.35/1.77 7.35/1.77 ------ Abstraction refinement Options 7.35/1.77 7.35/1.77 --abstr_ref [] 7.35/1.77 --abstr_ref_prep false 7.35/1.77 --abstr_ref_until_sat false 7.35/1.77 --abstr_ref_sig_restrict funpre 7.35/1.77 --abstr_ref_af_restrict_to_split_sk false 7.35/1.77 --abstr_ref_under [] 7.35/1.77 7.35/1.77 ------ SAT Options 7.35/1.77 7.35/1.77 --sat_mode true 7.35/1.77 --sat_fm_restart_options "" 7.35/1.77 --sat_gr_def false 7.35/1.77 --sat_epr_types true 7.35/1.77 --sat_non_cyclic_types false 7.35/1.77 --sat_finite_models true 7.35/1.77 --sat_fm_lemmas false 7.35/1.77 --sat_fm_prep false 7.35/1.77 --sat_fm_uc_incr true 7.35/1.77 --sat_out_model pos 7.35/1.77 --sat_out_clauses false 7.35/1.77 7.35/1.77 ------ QBF Options 7.35/1.77 7.35/1.77 --qbf_mode false 7.35/1.77 --qbf_elim_univ false 7.35/1.77 --qbf_dom_inst none 7.35/1.77 --qbf_dom_pre_inst false 7.35/1.77 --qbf_sk_in false 7.35/1.77 --qbf_pred_elim true 7.35/1.77 --qbf_split 512 7.35/1.77 7.35/1.77 ------ BMC1 Options 7.35/1.77 7.35/1.77 --bmc1_incremental false 7.35/1.77 --bmc1_axioms reachable_all 7.35/1.77 --bmc1_min_bound 0 7.35/1.77 --bmc1_max_bound -1 7.35/1.77 --bmc1_max_bound_default -1 7.35/1.77 --bmc1_symbol_reachability true 7.35/1.77 --bmc1_property_lemmas false 7.35/1.77 --bmc1_k_induction false 7.35/1.77 --bmc1_non_equiv_states false 7.35/1.77 --bmc1_deadlock false 7.35/1.77 --bmc1_ucm false 7.35/1.77 --bmc1_add_unsat_core none 7.35/1.77 --bmc1_unsat_core_children false 7.35/1.77 --bmc1_unsat_core_extrapolate_axioms false 7.35/1.77 --bmc1_out_stat full 7.35/1.77 --bmc1_ground_init false 7.35/1.77 --bmc1_pre_inst_next_state false 7.35/1.77 --bmc1_pre_inst_state false 7.35/1.77 --bmc1_pre_inst_reach_state false 7.35/1.77 --bmc1_out_unsat_core false 7.35/1.77 --bmc1_aig_witness_out false 7.35/1.77 --bmc1_verbose false 7.35/1.77 --bmc1_dump_clauses_tptp false 7.35/1.77 --bmc1_dump_unsat_core_tptp false 7.35/1.77 --bmc1_dump_file - 7.35/1.77 --bmc1_ucm_expand_uc_limit 128 7.35/1.77 --bmc1_ucm_n_expand_iterations 6 7.35/1.77 --bmc1_ucm_extend_mode 1 7.35/1.77 --bmc1_ucm_init_mode 2 7.35/1.77 --bmc1_ucm_cone_mode none 7.35/1.77 --bmc1_ucm_reduced_relation_type 0 7.35/1.77 --bmc1_ucm_relax_model 4 7.35/1.77 --bmc1_ucm_full_tr_after_sat true 7.35/1.77 --bmc1_ucm_expand_neg_assumptions false 7.35/1.77 --bmc1_ucm_layered_model none 7.35/1.77 --bmc1_ucm_max_lemma_size 10 7.35/1.77 7.35/1.77 ------ AIG Options 7.35/1.77 7.35/1.77 --aig_mode false 7.35/1.77 7.35/1.77 ------ Instantiation Options 7.35/1.77 7.35/1.77 --instantiation_flag true 7.35/1.77 --inst_sos_flag false 7.35/1.77 --inst_sos_phase true 7.35/1.77 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb] 7.35/1.77 --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb] 7.35/1.77 --inst_lit_sel_side num_symb 7.35/1.77 --inst_solver_per_active 1400 7.35/1.77 --inst_solver_calls_frac 1. 7.35/1.77 --inst_to_smt_solver true 7.35/1.77 --inst_passive_queue_type priority_queues 7.35/1.77 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]] 7.35/1.77 --inst_passive_queues_freq [25;2] 7.35/1.77 --inst_dismatching true 7.35/1.77 --inst_eager_unprocessed_to_passive true 7.35/1.77 --inst_unprocessed_bound 1000 7.35/1.77 --inst_prop_sim_given true 7.35/1.77 --inst_prop_sim_new false 7.35/1.77 --inst_subs_new false 7.35/1.77 --inst_eq_res_simp false 7.35/1.77 --inst_subs_given false 7.35/1.77 --inst_orphan_elimination true 7.35/1.77 --inst_learning_loop_flag true 7.35/1.77 --inst_learning_start 3000 7.35/1.77 --inst_learning_factor 2 7.35/1.77 --inst_start_prop_sim_after_learn 3 7.35/1.77 --inst_sel_renew solver 7.35/1.77 --inst_lit_activity_flag true 7.35/1.77 --inst_restr_to_given false 7.35/1.77 --inst_activity_threshold 500 7.35/1.77 7.35/1.77 ------ Resolution Options 7.35/1.77 7.35/1.77 --resolution_flag false 7.35/1.77 --res_lit_sel adaptive 7.35/1.77 --res_lit_sel_side none 7.35/1.77 --res_ordering kbo 7.35/1.77 --res_to_prop_solver active 7.35/1.77 --res_prop_simpl_new false 7.35/1.77 --res_prop_simpl_given true 7.35/1.77 --res_to_smt_solver true 7.35/1.77 --res_passive_queue_type priority_queues 7.35/1.77 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]] 7.35/1.77 --res_passive_queues_freq [15;5] 7.35/1.77 --res_forward_subs full 7.35/1.77 --res_backward_subs full 7.35/1.77 --res_forward_subs_resolution true 7.35/1.77 --res_backward_subs_resolution true 7.35/1.77 --res_orphan_elimination true 7.35/1.77 --res_time_limit 300. 7.35/1.77 7.35/1.77 ------ Superposition Options 7.35/1.77 7.35/1.77 --superposition_flag false 7.35/1.77 --sup_passive_queue_type priority_queues 7.35/1.77 --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]] 7.35/1.77 --sup_passive_queues_freq [8;1;4;4] 7.35/1.77 --demod_completeness_check fast 7.35/1.77 --demod_use_ground true 7.35/1.77 --sup_unprocessed_bound 0 7.35/1.77 --sup_to_prop_solver passive 7.35/1.77 --sup_prop_simpl_new true 7.35/1.77 --sup_prop_simpl_given true 7.35/1.77 --sup_fun_splitting false 7.35/1.77 --sup_iter_deepening 2 7.35/1.77 --sup_restarts_mult 12 7.35/1.77 --sup_score sim_d_gen 7.35/1.77 --sup_share_score_frac 0.2 7.35/1.77 --sup_share_max_num_cl 500 7.35/1.77 --sup_ordering kbo 7.35/1.77 --sup_symb_ordering invfreq 7.35/1.77 --sup_term_weight default 7.35/1.77 7.35/1.77 ------ Superposition Simplification Setup 7.35/1.77 7.35/1.77 --sup_indices_passive [LightNormIndex;FwDemodIndex] 7.35/1.77 --sup_full_triv [SMTSimplify;PropSubs] 7.35/1.77 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] 7.35/1.77 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 7.35/1.77 --sup_immed_triv [] 7.35/1.77 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes] 7.35/1.77 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes] 7.35/1.77 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod] 7.35/1.77 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 7.35/1.77 --sup_input_triv [Unflattening;SMTSimplify] 7.35/1.77 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] 7.35/1.77 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 7.35/1.77 --sup_full_fixpoint true 7.35/1.77 --sup_main_fixpoint true 7.35/1.77 --sup_immed_fixpoint false 7.35/1.77 --sup_input_fixpoint true 7.35/1.77 --sup_cache_sim none 7.35/1.77 --sup_smt_interval 500 7.35/1.77 --sup_bw_gjoin_interval 0 7.35/1.77 7.35/1.77 ------ Combination Options 7.35/1.77 7.35/1.77 --comb_mode clause_based 7.35/1.77 --comb_inst_mult 5 7.35/1.77 --comb_res_mult 1 7.35/1.77 --comb_sup_mult 8 7.35/1.77 --comb_sup_deep_mult 2 7.35/1.77 7.35/1.77 ------ Debug Options 7.35/1.77 7.35/1.77 --dbg_backtrace false 7.35/1.77 --dbg_dump_prop_clauses false 7.35/1.77 --dbg_dump_prop_clauses_file - 7.35/1.77 --dbg_out_stat false 7.35/1.77 --dbg_just_parse false 7.35/1.77 7.35/1.77 7.35/1.77 7.35/1.77 7.35/1.77 ------ Proving... 7.35/1.77 7.35/1.77 ------ Trying domains of size >= : 2 7.35/1.77 7.35/1.77 ------ Trying domains of size >= : 2 7.35/1.77 7.35/1.77 ------ Trying domains of size >= : 2 7.35/1.77 7.35/1.77 7.35/1.77 ------ Proving... 7.35/1.77 7.35/1.77 7.35/1.77 % SZS status Satisfiable for theBenchmark.p 7.35/1.77 7.35/1.77 ------ Building Model...Done 7.35/1.77 7.35/1.77 %------ The model is defined over ground terms (initial term algebra). 7.35/1.77 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 7.35/1.77 %------ where \phi is a formula over the term algebra. 7.35/1.77 %------ If we have equality in the problem then it is also defined as a predicate above, 7.35/1.77 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type 7.35/1.77 %------ See help for --sat_out_model for different model outputs. 7.35/1.77 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "=" 7.35/1.77 %------ where the first argument stands for the sort ($i in the unsorted case) 7.35/1.77 % SZS output start Model for theBenchmark.p 7.35/1.77 7.35/1.77 %------ Positive definition of equality_sorted 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_12,X0_90,X1_90] : 7.35/1.77 ( equality_sorted(X0_12,X0_90,X1_90) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_12='B_ell2_e_cblinfun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='D_c_prod_ell2_d_c_prod_ell2_cblinfun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='B_b_prod_ell2_b_b_prod_ell2_cblinfun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='Complex_complex_complex_cblinfun_fun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='C_a_prod_ell2_c_a_prod_ell2_cblinfun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun$' ) 7.35/1.77 & 7.35/1.77 ( X0_162!=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_1 | X1_162!=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_2 ) 7.35/1.77 & 7.35/1.77 ( X0_162!=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_2 | X1_162!=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='C_ell2_c_ell2_cblinfun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='D_ell2_d_ell2_cblinfun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='C_d_prod_ell2_c_d_prod_ell2_cblinfun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='Complex$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='A_ell2_a_ell2_cblinfun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='C_b_prod_ell2_c_b_prod_ell2_cblinfun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='A_a_prod_ell2_a_a_prod_ell2_cblinfun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='Complex_complex_fun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='D_ell2_d_ell2_cblinfun_set$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='D_a_prod_ell2_d_a_prod_ell2_cblinfun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='B_a_prod_ell2_b_a_prod_ell2_cblinfun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='B_ell2_b_ell2_cblinfun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='D_d_prod_ell2_d_d_prod_ell2_cblinfun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='A_d_prod_ell2_a_d_prod_ell2_cblinfun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='D_b_prod_ell2_d_b_prod_ell2_cblinfun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='A_c_prod_ell2_a_c_prod_ell2_cblinfun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='B_d_prod_ell2_b_d_prod_ell2_cblinfun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='A_ell2_a_ell2_cblinfun_set$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='B_ell2_e_fun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='Complex_complex_fun_complex_complex_fun_fun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='A_b_prod_ell2_a_b_prod_ell2_cblinfun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='Complex_complex_cblinfun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='Complex_complex_complex_cblinfun_complex_cblinfun_cblinfun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='E$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='B_ell2_e_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='B_c_prod_ell2_b_c_prod_ell2_cblinfun$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 | 7.35/1.77 ( 7.35/1.77 ( X0_12='C_ell2_c_ell2_cblinfun_set$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'compatible$q' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_159,X0_179] : 7.35/1.77 ( 'compatible$q'(X0_159,X0_179) <=> 7.35/1.77 $false 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'compatible$h' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_138,X1_138] : 7.35/1.77 ( 'compatible$h'(X0_138,X1_138) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'clinear$j' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_23] : 7.35/1.77 ( 'clinear$j'(X0_23) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$an' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_180] : 7.35/1.77 ( 'register$an'(X0_180) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'member$a' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_54,X0_174] : 7.35/1.77 ( 'member$a'(X0_54,X0_174) <=> 7.35/1.77 $false 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'clinear$t' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_32] : 7.35/1.77 ( 'clinear$t'(X0_32) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$ad' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_176] : 7.35/1.77 ( 'register$ad'(X0_176) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$ar' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_124] : 7.35/1.77 ( 'register$ar'(X0_124) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'cbilinear$a' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_39] : 7.35/1.77 ( 'cbilinear$a'(X0_39) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'member$' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_164,X0_171] : 7.35/1.77 ( 'member$'(X0_164,X0_171) <=> 7.35/1.77 $false 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'clinear$p' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_122] : 7.35/1.77 ( 'clinear$p'(X0_122) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'clinear$' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_162] : 7.35/1.77 ( 'clinear$'(X0_162) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_162!=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$ac' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_120] : 7.35/1.77 ( 'register$ac'(X0_120) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'compatible$r' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_142,X0_24] : 7.35/1.77 ( 'compatible$r'(X0_142,X0_24) <=> 7.35/1.77 $false 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'iso_tuple_update_accessor_eq_assist$' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_104,X0_90,X0_76,X1_90,X1_76,X2_76] : 7.35/1.77 ( 'iso_tuple_update_accessor_eq_assist$'(X0_104,X0_90,X0_76,X1_90,X1_76,X2_76) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X2_76=X0_76 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'clinear$h' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_40] : 7.35/1.77 ( 'clinear$h'(X0_40) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'clinear$n' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_142] : 7.35/1.77 ( 'clinear$n'(X0_142) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'clinear$v' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_57] : 7.35/1.77 ( 'clinear$v'(X0_57) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'clinear$o' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_13] : 7.35/1.77 ( 'clinear$o'(X0_13) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$s' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_163] : 7.35/1.77 ( 'register$s'(X0_163) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'compatible$j' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_173,X0_13] : 7.35/1.77 ( 'compatible$j'(X0_173,X0_13) <=> 7.35/1.77 $false 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'compatible$y' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_97,X0_82] : 7.35/1.77 ( 'compatible$y'(X0_97,X0_82) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'compatible$w' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_97,X1_97] : 7.35/1.77 ( 'compatible$w'(X0_97,X1_97) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'cbilinear$f' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_84] : 7.35/1.77 ( 'cbilinear$f'(X0_84) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'cbilinear$q' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_81] : 7.35/1.77 ( 'cbilinear$q'(X0_81) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_81='tensor_op$a' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'clinear$d' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_173] : 7.35/1.77 ( 'clinear$d'(X0_173) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'clinear$l' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_138] : 7.35/1.77 ( 'clinear$l'(X0_138) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'cbilinear$j' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_94] : 7.35/1.77 ( 'cbilinear$j'(X0_94) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_94='cblinfun_compose$a' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'cbilinear$l' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_34] : 7.35/1.77 ( 'cbilinear$l'(X0_34) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_34='cblinfun_compose$b' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'compatible$k' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_13,X0_173] : 7.35/1.77 ( 'compatible$k'(X0_13,X0_173) <=> 7.35/1.77 $false 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$a' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_23] : 7.35/1.77 ( 'register$a'(X0_23) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$aq' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_97] : 7.35/1.77 ( 'register$aq'(X0_97) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$ag' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_140] : 7.35/1.77 ( 'register$ag'(X0_140) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'cbilinear$e' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_153] : 7.35/1.77 ( 'cbilinear$e'(X0_153) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'clinear$c' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_17] : 7.35/1.77 ( 'clinear$c'(X0_17) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$ae' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_89] : 7.35/1.77 ( 'register$ae'(X0_89) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'compatible$c' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_92,X1_92] : 7.35/1.77 ( 'compatible$c'(X0_92,X1_92) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'fun_app$bg' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_85,X0_16] : 7.35/1.77 ( 'fun_app$bg'(X0_85,X0_16) <=> 7.35/1.77 $false 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'clinear$s' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_27] : 7.35/1.77 ( 'clinear$s'(X0_27) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'iso_tuple_update_accessor_cong_assist$' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_104,X0_90] : 7.35/1.77 ( 'iso_tuple_update_accessor_cong_assist$'(X0_104,X0_90) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'separating$b' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_70,X0_112] : 7.35/1.77 ( 'separating$b'(X0_70,X0_112) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$w' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_40] : 7.35/1.77 ( 'register$w'(X0_40) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'fun_app$bf' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_56,X0_54] : 7.35/1.77 ( 'fun_app$bf'(X0_56,X0_54) <=> 7.35/1.77 $false 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$n' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_179] : 7.35/1.77 ( 'register$n'(X0_179) <=> 7.35/1.77 $false 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'compatible$i' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_23,X0_75] : 7.35/1.77 ( 'compatible$i'(X0_23,X0_75) <=> 7.35/1.77 $false 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$bc' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_27] : 7.35/1.77 ( 'register$bc'(X0_27) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'cbilinear$r' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_132] : 7.35/1.77 ( 'cbilinear$r'(X0_132) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_132='tensor_op$b' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$be' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_32] : 7.35/1.77 ( 'register$be'(X0_32) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$c' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_75] : 7.35/1.77 ( 'register$c'(X0_75) <=> 7.35/1.77 $false 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'compatible$' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_92,X0_23] : 7.35/1.77 ( 'compatible$'(X0_92,X0_23) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'clinear$b' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_146] : 7.35/1.77 ( 'clinear$b'(X0_146) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'cbilinear$k' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_107] : 7.35/1.77 ( 'cbilinear$k'(X0_107) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_107='cblinfun_compose$d' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$v' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_60] : 7.35/1.77 ( 'register$v'(X0_60) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'compatible$o' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_159,X0_121] : 7.35/1.77 ( 'compatible$o'(X0_159,X0_121) <=> 7.35/1.77 $false 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$j' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_13] : 7.35/1.77 ( 'register$j'(X0_13) <=> 7.35/1.77 $false 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'compatible$a' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_92,X0_138] : 7.35/1.77 ( 'compatible$a'(X0_92,X0_138) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'separating$d' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_33,X0_174] : 7.35/1.77 ( 'separating$d'(X0_33,X0_174) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'compatible$ad' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_82,X0_124] : 7.35/1.77 ( 'compatible$ad'(X0_82,X0_124) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$aj' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_108] : 7.35/1.77 ( 'register$aj'(X0_108) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'compatible$f' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_138,X0_92] : 7.35/1.77 ( 'compatible$f'(X0_138,X0_92) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'separating$' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_58,X0_112] : 7.35/1.77 ( 'separating$'(X0_58,X0_112) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'compatible$ab' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_124,X0_82] : 7.35/1.77 ( 'compatible$ab'(X0_124,X0_82) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'compatible$an' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_165,X1_165] : 7.35/1.77 ( 'compatible$an'(X0_165,X1_165) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'cbilinear$h' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_78] : 7.35/1.77 ( 'cbilinear$h'(X0_78) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'compatible$m' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_92,X0_75] : 7.35/1.77 ( 'compatible$m'(X0_92,X0_75) <=> 7.35/1.77 $false 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$ak' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_73] : 7.35/1.77 ( 'register$ak'(X0_73) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$ba' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_156] : 7.35/1.77 ( 'register$ba'(X0_156) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_156='swap$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$q' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_18] : 7.35/1.77 ( 'register$q'(X0_18) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'compatible$b' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_23,X0_138] : 7.35/1.77 ( 'compatible$b'(X0_23,X0_138) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$u' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_101] : 7.35/1.77 ( 'register$u'(X0_101) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'cbilinear$m' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_71] : 7.35/1.77 ( 'cbilinear$m'(X0_71) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_71='cblinfun_compose$c' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'cbilinear$c' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_98] : 7.35/1.77 ( 'cbilinear$c'(X0_98) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'member$b' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_16,X0_112] : 7.35/1.77 ( 'member$b'(X0_16,X0_112) <=> 7.35/1.77 $false 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$o' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_154] : 7.35/1.77 ( 'register$o'(X0_154) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'cbilinear$u' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_141] : 7.35/1.77 ( 'cbilinear$u'(X0_141) <=> 7.35/1.77 $false 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'compatible$z' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_124,X0_97] : 7.35/1.77 ( 'compatible$z'(X0_124,X0_97) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'compatible$ac' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_82,X0_97] : 7.35/1.77 ( 'compatible$ac'(X0_82,X0_97) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'clinear$u' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_102] : 7.35/1.77 ( 'clinear$u'(X0_102) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'separating$e' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_33,X0_171] : 7.35/1.77 ( 'separating$e'(X0_33,X0_171) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$bh' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_150] : 7.35/1.77 ( 'register$bh'(X0_150) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$t' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_93] : 7.35/1.77 ( 'register$t'(X0_93) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'cbilinear$p' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_67] : 7.35/1.77 ( 'cbilinear$p'(X0_67) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_67='tensor_op$' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'compatible$aa' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_124,X1_124] : 7.35/1.77 ( 'compatible$aa'(X0_124,X1_124) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'compatible$ah' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_165,X0_117] : 7.35/1.77 ( 'compatible$ah'(X0_165,X0_117) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'clinear$g' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_52] : 7.35/1.77 ( 'clinear$g'(X0_52) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'clinear$a' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_75] : 7.35/1.77 ( 'clinear$a'(X0_75) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'compatible$e' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_23,X1_23] : 7.35/1.77 ( 'compatible$e'(X0_23,X1_23) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'cbilinear$b' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_129] : 7.35/1.77 ( 'cbilinear$b'(X0_129) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$p' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_68] : 7.35/1.77 ( 'register$p'(X0_68) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'compatible$x' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_97,X0_124] : 7.35/1.77 ( 'compatible$x'(X0_97,X0_124) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$av' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_96] : 7.35/1.77 ( 'register$av'(X0_96) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'compatible$g' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_138,X0_23] : 7.35/1.77 ( 'compatible$g'(X0_138,X0_23) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$bg' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_57] : 7.35/1.77 ( 'register$bg'(X0_57) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'fun_app$aq' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_110,X0_162] : 7.35/1.77 ( 'fun_app$aq'(X0_110,X0_162) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_162!=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'cbilinear$i' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_72] : 7.35/1.77 ( 'cbilinear$i'(X0_72) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'separating$c' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_33,X0_112] : 7.35/1.77 ( 'separating$c'(X0_33,X0_112) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'clinear$f' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_123] : 7.35/1.77 ( 'clinear$f'(X0_123) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'clinear$i' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_92] : 7.35/1.77 ( 'clinear$i'(X0_92) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'cbilinear$g' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_87] : 7.35/1.77 ( 'cbilinear$g'(X0_87) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'bounded_cbilinear$a' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_168] : 7.35/1.77 ( 'bounded_cbilinear$a'(X0_168) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$r' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_14] : 7.35/1.77 ( 'register$r'(X0_14) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'compatible$p' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_179,X0_159] : 7.35/1.77 ( 'compatible$p'(X0_179,X0_159) <=> 7.35/1.77 $false 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$bd' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_122] : 7.35/1.77 ( 'register$bd'(X0_122) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'compatible$ak' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_180,X0_158] : 7.35/1.77 ( 'compatible$ak'(X0_180,X0_158) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'compatible$n' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_121,X0_159] : 7.35/1.77 ( 'compatible$n'(X0_121,X0_159) <=> 7.35/1.77 $false 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$at' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_160] : 7.35/1.77 ( 'register$at'(X0_160) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'cbilinear$v' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_168] : 7.35/1.77 ( 'cbilinear$v'(X0_168) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'separating$a' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_22,X0_112] : 7.35/1.77 ( 'separating$a'(X0_22,X0_112) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'cbilinear$t' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_80] : 7.35/1.77 ( 'cbilinear$t'(X0_80) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_80='tensor_op$d' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$as' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_82] : 7.35/1.77 ( 'register$as'(X0_82) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$k' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_159] : 7.35/1.77 ( 'register$k'(X0_159) <=> 7.35/1.77 $false 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'fun_app$be' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_152,X0_164] : 7.35/1.77 ( 'fun_app$be'(X0_152,X0_164) <=> 7.35/1.77 $false 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'clinear$k' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_90] : 7.35/1.77 ( 'clinear$k'(X0_90) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'compatible$aj' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_180,X0_61] : 7.35/1.77 ( 'compatible$aj'(X0_180,X0_61) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$bb' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_131] : 7.35/1.77 ( 'register$bb'(X0_131) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'clinear$r' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_131] : 7.35/1.77 ( 'clinear$r'(X0_131) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$b' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_138] : 7.35/1.77 ( 'register$b'(X0_138) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'cbilinear$' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_46] : 7.35/1.77 ( 'cbilinear$'(X0_46) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'compatible$al' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_45,X0_117] : 7.35/1.77 ( 'compatible$al'(X0_45,X0_117) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_92] : 7.35/1.77 ( 'register$'(X0_92) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$az' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_61] : 7.35/1.77 ( 'register$az'(X0_61) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'cbilinear$d' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_155] : 7.35/1.77 ( 'cbilinear$d'(X0_155) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$ai' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_36] : 7.35/1.77 ( 'register$ai'(X0_36) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$bf' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_102] : 7.35/1.77 ( 'register$bf'(X0_102) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'compatible$d' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_23,X0_92] : 7.35/1.77 ( 'compatible$d'(X0_23,X0_92) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'cbilinear$o' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_147] : 7.35/1.77 ( 'cbilinear$o'(X0_147) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'cbilinear$s' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_91] : 7.35/1.77 ( 'cbilinear$s'(X0_91) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_91='tensor_op$c' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'bounded_cbilinear$' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_147] : 7.35/1.77 ( 'bounded_cbilinear$'(X0_147) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'clinear$w' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_150] : 7.35/1.77 ( 'clinear$w'(X0_150) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'compatible$ae' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_82,X1_82] : 7.35/1.77 ( 'compatible$ae'(X0_82,X1_82) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'cbilinear$n' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_51] : 7.35/1.77 ( 'cbilinear$n'(X0_51) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_51='cblinfun_compose$e' ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$au' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_86] : 7.35/1.77 ( 'register$au'(X0_86) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'clinear$e' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_159] : 7.35/1.77 ( 'clinear$e'(X0_159) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'compatible$l' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_75,X0_92] : 7.35/1.77 ( 'compatible$l'(X0_75,X0_92) <=> 7.35/1.77 $false 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'clinear$q' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_160] : 7.35/1.77 ( 'clinear$q'(X0_160) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$af' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_157] : 7.35/1.77 ( 'register$af'(X0_157) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of 'register$ah' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_113] : 7.35/1.77 ( 'register$ah'(X0_113) <=> 7.35/1.77 $true 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'cblinfun_compose$h' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_26,X1_26,X2_26] : 7.35/1.77 ( iProver_Flat_'cblinfun_compose$h'(X0_26,X1_26,X2_26) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_26=iProver_Domain_'E_e_cblinfun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'plus$a' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_15,X1_15,X2_15] : 7.35/1.77 ( iProver_Flat_'plus$a'(X0_15,X1_15,X2_15) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_15=iProver_Domain_'B_ell2_e_cblinfun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'fun_app$cs' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_135,X0_108,X0_50] : 7.35/1.77 ( iProver_Flat_'fun_app$cs'(X0_135,X0_108,X0_50) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_135=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'comp$m' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_23,X0_138,X0_24] : 7.35/1.77 ( iProver_Flat_'comp$m'(X0_23,X0_138,X0_24) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_23=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'cblinfun_apply$c' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_92,X0_88] : 7.35/1.77 ( iProver_Flat_'cblinfun_apply$c'(X0_92,X0_88) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_92=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'cblinfun_scaleC_right$' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_139] : 7.35/1.77 ( iProver_Flat_'cblinfun_scaleC_right$'(X0_139) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_139=iProver_Domain_'Complex_complex_complex_cblinfun_fun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'uxw$' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_92,X1_92,X2_92] : 7.35/1.77 ( iProver_Flat_'uxw$'(X0_92,X1_92,X2_92) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_92=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'fun_app$co' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_135,X0_157,X0_95] : 7.35/1.77 ( iProver_Flat_'fun_app$co'(X0_135,X0_157,X0_95) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_135=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'register_tensor$c' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_157,X0_23,X0_92] : 7.35/1.77 ( iProver_Flat_'register_tensor$c'(X0_157,X0_23,X0_92) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_157=iProver_Domain_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'uxv$' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_162,X1_162,X2_162] : 7.35/1.77 ( iProver_Flat_'uxv$'(X0_162,X1_162,X2_162) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_162=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_2 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'uxj$' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_23] : 7.35/1.77 ( iProver_Flat_'uxj$'(X0_23) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_23=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'comp$' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_92,X0_40,X0_27] : 7.35/1.77 ( iProver_Flat_'comp$'(X0_92,X0_40,X0_27) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_92=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'tensor_op$k' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_19,X0_54,X0_164] : 7.35/1.77 ( iProver_Flat_'tensor_op$k'(X0_19,X0_54,X0_164) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_19=iProver_Domain_'C_d_prod_ell2_c_d_prod_ell2_cblinfun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'fun_app$bt' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_92,X0_98,X0_54] : 7.35/1.77 ( iProver_Flat_'fun_app$bt'(X0_92,X0_98,X0_54) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_92=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'uxs$' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_138,X1_138,X0_76] : 7.35/1.77 ( iProver_Flat_'uxs$'(X0_138,X1_138,X0_76) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_138=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'fun_app$b' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_102,X0_67,X0_54] : 7.35/1.77 ( iProver_Flat_'fun_app$b'(X0_102,X0_67,X0_54) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_102=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'fun_app$ai' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_151,X0_149,X0_16] : 7.35/1.77 ( iProver_Flat_'fun_app$ai'(X0_151,X0_149,X0_16) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_151=iProver_Domain_'C_b_prod_ell2_c_b_prod_ell2_cblinfun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'fun_app$ae' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_47,X0_106,X0_54] : 7.35/1.77 ( iProver_Flat_'fun_app$ae'(X0_47,X0_106,X0_54) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_47=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'fun_app$cq' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_135,X0_113,X0_19] : 7.35/1.77 ( iProver_Flat_'fun_app$cq'(X0_135,X0_113,X0_19) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_135=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'uxl$' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_90] : 7.35/1.77 ( iProver_Flat_'uxl$'(X0_90) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_90=iProver_Domain_'Complex_complex_fun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'zero$e' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_54] : 7.35/1.77 ( iProver_Flat_'zero$e'(X0_54) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'minus$d' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_159,X0_16] : 7.35/1.77 ( iProver_Flat_'minus$d'(X0_159,X0_16) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_159=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'uxo$' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_168] : 7.35/1.77 ( iProver_Flat_'uxo$'(X0_168) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_168=iProver_Domain_'Complex_complex_complex_fun_fun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'snd$a' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_102] : 7.35/1.77 ( iProver_Flat_'snd$a'(X0_102) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_102=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'uvs$' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_82,X0_138] : 7.35/1.77 ( iProver_Flat_'uvs$'(X0_82,X0_138) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_82=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'uuz$' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_152,X0_171] : 7.35/1.77 ( iProver_Flat_'uuz$'(X0_152,X0_171) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_152=iProver_Domain_'D_ell2_d_ell2_cblinfun_bool_fun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'register_pair$f' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_93,X0_138,X0_92] : 7.35/1.77 ( iProver_Flat_'register_pair$f'(X0_93,X0_138,X0_92) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_93=iProver_Domain_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'id_cblinfun$l' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_114] : 7.35/1.77 ( iProver_Flat_'id_cblinfun$l'(X0_114) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_114=iProver_Domain_'D_a_prod_ell2_d_a_prod_ell2_cblinfun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'register_tensor$j' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_105,X0_23,X0_179,X0_109] : 7.35/1.77 ( iProver_Flat_'register_tensor$j'(X0_105,X0_23,X0_179,X0_109) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_105=iProver_Domain_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'uws$' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_39,X0_98] : 7.35/1.77 ( iProver_Flat_'uws$'(X0_39,X0_98) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_39=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'fun_app$cf' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_164,X0_21,X0_28] : 7.35/1.77 ( iProver_Flat_'fun_app$cf'(X0_164,X0_21,X0_28) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'fun_app$bx' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_28,X0_60,X0_134] : 7.35/1.77 ( iProver_Flat_'fun_app$bx'(X0_28,X0_60,X0_134) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_28=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'uuq$' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_84,X0_138,X0_92] : 7.35/1.77 ( iProver_Flat_'uuq$'(X0_84,X0_138,X0_92) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_84=iProver_Domain_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'register_pair$g' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_101,X0_138,X0_23] : 7.35/1.77 ( iProver_Flat_'register_pair$g'(X0_101,X0_138,X0_23) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_101=iProver_Domain_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'fun_app$cd' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_28,X0_68,X0_130] : 7.35/1.77 ( iProver_Flat_'fun_app$cd'(X0_28,X0_68,X0_130) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_28=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'fun_app$ag' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_63,X0_180,X0_16] : 7.35/1.77 ( iProver_Flat_'fun_app$ag'(X0_63,X0_180,X0_16) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_63=iProver_Domain_'D_b_prod_ell2_d_b_prod_ell2_cblinfun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'id_cblinfun$d' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_26] : 7.35/1.77 ( iProver_Flat_'id_cblinfun$d'(X0_26) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_26=iProver_Domain_'E_e_cblinfun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'fun_app$bn' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_138,X0_153,X0_54] : 7.35/1.77 ( iProver_Flat_'fun_app$bn'(X0_138,X0_153,X0_54) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_138=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'fun_app$al' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_28,X0_92,X0_16] : 7.35/1.77 ( iProver_Flat_'fun_app$al'(X0_28,X0_92,X0_16) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_28=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'comp$r' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_40,X0_138,X0_111] : 7.35/1.77 ( iProver_Flat_'comp$r'(X0_40,X0_138,X0_111) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_40=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'comp$z' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_138,X0_68,X0_57] : 7.35/1.77 ( iProver_Flat_'comp$z'(X0_138,X0_68,X0_57) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_138=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'uuf$' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_146,X0_28] : 7.35/1.77 ( iProver_Flat_'uuf$'(X0_146,X0_28) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_146=iProver_Domain_'B_ell2_e_cblinfun_b_ell2_e_cblinfun_fun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'zero$f' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_164] : 7.35/1.77 ( iProver_Flat_'zero$f'(X0_164) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'fun_app$bz' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_28,X0_93,X0_114] : 7.35/1.77 ( iProver_Flat_'fun_app$bz'(X0_28,X0_93,X0_114) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_28=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'uuh$' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_146] : 7.35/1.77 ( iProver_Flat_'uuh$'(X0_146) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_146=iProver_Domain_'B_ell2_e_cblinfun_b_ell2_e_cblinfun_fun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'uxx$' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_23,X1_23,X2_23] : 7.35/1.77 ( iProver_Flat_'uxx$'(X0_23,X1_23,X2_23) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_23=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'uup$' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_153,X0_23,X0_138] : 7.35/1.77 ( iProver_Flat_'uup$'(X0_153,X0_23,X0_138) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_153=iProver_Domain_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'fun_app$c' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_135,X0_160,X0_28] : 7.35/1.77 ( iProver_Flat_'fun_app$c'(X0_135,X0_160,X0_28) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_135=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'uub$' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_52,X0_15] : 7.35/1.77 ( iProver_Flat_'uub$'(X0_52,X0_15) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_52=iProver_Domain_'E_e_cblinfun_b_ell2_e_cblinfun_fun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'swap$a' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_161,X0_95] : 7.35/1.77 ( iProver_Flat_'swap$a'(X0_161,X0_95) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_161=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'cblinfun_mult_right$' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_139] : 7.35/1.77 ( iProver_Flat_'cblinfun_mult_right$'(X0_139) <=> 7.35/1.77 ( 7.35/1.77 ( 7.35/1.77 ( X0_139=iProver_Domain_'Complex_complex_complex_cblinfun_fun'_1 ) 7.35/1.77 ) 7.35/1.77 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ) 7.35/1.77 ). 7.35/1.77 7.35/1.77 %------ Positive definition of iProver_Flat_'fun_app$y' 7.35/1.77 fof(lit_def,axiom, 7.35/1.77 (! [X0_64,X0_96,X0_54] : 7.35/1.77 ( iProver_Flat_'fun_app$y'(X0_64,X0_96,X0_54) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_64=iProver_Domain_'B_d_prod_ell2_b_d_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uvp$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_165,X0_159] : 7.35/1.78 ( iProver_Flat_'uvp$'(X0_165,X0_159) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_165=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'id_cblinfun$b' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_164] : 7.35/1.78 ( iProver_Flat_'id_cblinfun$b'(X0_164) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$r' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_19,X1_19,X2_19] : 7.35/1.78 ( iProver_Flat_'cblinfun_compose$r'(X0_19,X1_19,X2_19) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_19=iProver_Domain_'C_d_prod_ell2_c_d_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'map_fun$c' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_144,X0_90,X0_126] : 7.35/1.78 ( iProver_Flat_'map_fun$c'(X0_144,X0_90,X0_126) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_144=iProver_Domain_'Complex_complex_complex_cblinfun_complex_fun_fun_complex_complex_complex_cblinfun_complex_cblinfun_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uvv$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_61,X0_23] : 7.35/1.78 ( iProver_Flat_'uvv$'(X0_61,X0_23) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_61=iProver_Domain_'C_ell2_c_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'cblinfun_apply$b' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_162,X0_44] : 7.35/1.78 ( iProver_Flat_'cblinfun_apply$b'(X0_162,X0_44) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_162=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_2 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fst$a' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_122] : 7.35/1.78 ( iProver_Flat_'fst$a'(X0_122) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_122=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'tensor_op$f' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_64,X0_28,X0_164] : 7.35/1.78 ( iProver_Flat_'tensor_op$f'(X0_64,X0_28,X0_164) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_64=iProver_Domain_'B_d_prod_ell2_b_d_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$cb' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_28,X0_14,X0_109] : 7.35/1.78 ( iProver_Flat_'fun_app$cb'(X0_28,X0_14,X0_109) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_28=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'collect$b' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_112,X0_85] : 7.35/1.78 ( iProver_Flat_'collect$b'(X0_112,X0_85) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_112=iProver_Domain_'A_ell2_a_ell2_cblinfun_set'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$g' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_26,X0_15,X0_65] : 7.35/1.78 ( iProver_Flat_'cblinfun_compose$g'(X0_26,X0_15,X0_65) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_26=iProver_Domain_'E_e_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$da' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_83,X0_25,X0_35] : 7.35/1.78 ( iProver_Flat_'fun_app$da'(X0_83,X0_25,X0_35) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_83=iProver_Domain_'B_ell2_e_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_95,X0_122,X0_54] : 7.35/1.78 ( iProver_Flat_'fun_app$'(X0_95,X0_122,X0_54) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_95=iProver_Domain_'C_a_prod_ell2_c_a_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'comp$aa' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_138,X0_163,X0_38] : 7.35/1.78 ( iProver_Flat_'comp$aa'(X0_138,X0_163,X0_38) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_138=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uxa$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_18] : 7.35/1.78 ( iProver_Flat_'uxa$'(X0_18) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_18=iProver_Domain_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uvf$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_53,X0_159] : 7.35/1.78 ( iProver_Flat_'uvf$'(X0_53,X0_159) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_53=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uminus$b' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_90] : 7.35/1.78 ( iProver_Flat_'uminus$b'(X0_90) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_90=iProver_Domain_'Complex_complex_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$ca' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_28,X0_163,X0_19] : 7.35/1.78 ( iProver_Flat_'fun_app$ca'(X0_28,X0_163,X0_19) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_28=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$bj' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_63,X0_61,X0_54] : 7.35/1.78 ( iProver_Flat_'fun_app$bj'(X0_63,X0_61,X0_54) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_63=iProver_Domain_'D_b_prod_ell2_d_b_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'tensor_lift$b' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_68,X0_129] : 7.35/1.78 ( iProver_Flat_'tensor_lift$b'(X0_68,X0_129) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_68=iProver_Domain_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$cc' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_28,X0_18,X0_95] : 7.35/1.78 ( iProver_Flat_'fun_app$cc'(X0_28,X0_18,X0_95) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_28=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'tensor_lift$e' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_163,X0_153] : 7.35/1.78 ( iProver_Flat_'tensor_lift$e'(X0_163,X0_153) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_163=iProver_Domain_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uwq$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_98,X0_39] : 7.35/1.78 ( iProver_Flat_'uwq$'(X0_98,X0_39) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_98=iProver_Domain_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'map_fun$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_104,X0_90,X1_90] : 7.35/1.78 ( iProver_Flat_'map_fun$'(X0_104,X0_90,X1_90) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_104=iProver_Domain_'Complex_complex_fun_complex_complex_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$af' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_105,X0_69,X0_28] : 7.35/1.78 ( iProver_Flat_'fun_app$af'(X0_105,X0_69,X0_28) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_105=iProver_Domain_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'adj$a' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_75] : 7.35/1.78 ( iProver_Flat_'adj$a'(X0_75) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_75=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uvg$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_97,X0_92] : 7.35/1.78 ( iProver_Flat_'uvg$'(X0_97,X0_92) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_97=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'comp$i' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_92,X0_23,X0_13] : 7.35/1.78 ( iProver_Flat_'comp$i'(X0_92,X0_23,X0_13) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_92=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$cj' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_28,X0_48,X0_181] : 7.35/1.78 ( iProver_Flat_'fun_app$cj'(X0_28,X0_48,X0_181) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_28=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uxr$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_23,X1_23,X0_76] : 7.35/1.78 ( iProver_Flat_'uxr$'(X0_23,X1_23,X0_76) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_23=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uxg$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_40] : 7.35/1.78 ( iProver_Flat_'uxg$'(X0_40) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_40=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'scaleC$c' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_74,X0_76,X1_74] : 7.35/1.78 ( iProver_Flat_'scaleC$c'(X0_74,X0_76,X1_74) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_74=iProver_Domain_'Complex_complex_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uuu$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_122,X0_16] : 7.35/1.78 ( iProver_Flat_'uuu$'(X0_122,X0_16) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_122=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'comp$ae' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_115,X0_167,X0_144,X0_145] : 7.35/1.78 ( iProver_Flat_'comp$ae'(X0_115,X0_167,X0_144,X0_145) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_115=iProver_Domain_'Complex_complex_complex_cblinfun_complex_cblinfun_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uwl$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_66,X0_121] : 7.35/1.78 ( iProver_Flat_'uwl$'(X0_66,X0_121) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_66=iProver_Domain_'D_ell2_d_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$w' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_16,X0_121,X0_164] : 7.35/1.78 ( iProver_Flat_'fun_app$w'(X0_16,X0_121,X0_164) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uwk$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_32,X0_159] : 7.35/1.78 ( iProver_Flat_'uwk$'(X0_32,X0_159) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_32=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'tensor_lift$a' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_154,X0_46] : 7.35/1.78 ( iProver_Flat_'tensor_lift$a'(X0_154,X0_46) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_154=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$db' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_25,X0_77,X0_83] : 7.35/1.78 ( iProver_Flat_'fun_app$db'(X0_25,X0_77,X0_83) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_25=iProver_Domain_'B_ell2_b_ell2_fun_b_ell2_e_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uminus$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_15,X1_15] : 7.35/1.78 ( iProver_Flat_'uminus$'(X0_15,X1_15) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_15=iProver_Domain_'B_ell2_e_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$s' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_135,X0_82,X0_164] : 7.35/1.78 ( iProver_Flat_'fun_app$s'(X0_135,X0_82,X0_164) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_135=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uua$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_75,X0_28] : 7.35/1.78 ( iProver_Flat_'uua$'(X0_75,X0_28) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_75=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'plus$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_168] : 7.35/1.78 ( iProver_Flat_'plus$'(X0_168) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_168=iProver_Domain_'Complex_complex_complex_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$bs' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_23,X0_39,X0_16] : 7.35/1.78 ( iProver_Flat_'fun_app$bs'(X0_23,X0_39,X0_16) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_23=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'register_pair$d' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_14,X0_23,X1_23] : 7.35/1.78 ( iProver_Flat_'register_pair$d'(X0_14,X0_23,X1_23) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_14=iProver_Domain_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'zero$c' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_161] : 7.35/1.78 ( iProver_Flat_'zero$c'(X0_161) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_161=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'minus$f' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_17,X0_164] : 7.35/1.78 ( iProver_Flat_'minus$f'(X0_17,X0_164) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_17=iProver_Domain_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$am' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_135,X0_97,X0_16] : 7.35/1.78 ( iProver_Flat_'fun_app$am'(X0_135,X0_97,X0_16) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_135=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uyc$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_23,X1_23] : 7.35/1.78 ( iProver_Flat_'uyc$'(X0_23,X1_23) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_23=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$ad' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_16,X0_179,X0_54] : 7.35/1.78 ( iProver_Flat_'fun_app$ad'(X0_16,X0_179,X0_54) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uxn$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_168] : 7.35/1.78 ( iProver_Flat_'uxn$'(X0_168) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_168=iProver_Domain_'Complex_complex_complex_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uvb$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_85,X0_112] : 7.35/1.78 ( iProver_Flat_'uvb$'(X0_85,X0_112) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_85=iProver_Domain_'A_ell2_a_ell2_cblinfun_bool_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'comp$p' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_40,X0_92,X0_178] : 7.35/1.78 ( iProver_Flat_'comp$p'(X0_40,X0_92,X0_178) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_40=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'register_tensor$b' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_89,X0_92,X0_138] : 7.35/1.78 ( iProver_Flat_'register_tensor$b'(X0_89,X0_92,X0_138) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_89=iProver_Domain_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'times$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_168] : 7.35/1.78 ( iProver_Flat_'times$'(X0_168) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_168=iProver_Domain_'Complex_complex_complex_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'z$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_15] : 7.35/1.78 ( iProver_Flat_'z$'(X0_15) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_15=iProver_Domain_'B_ell2_e_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uxk$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_138] : 7.35/1.78 ( iProver_Flat_'uxk$'(X0_138) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_138=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'id_cblinfun$m' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_151] : 7.35/1.78 ( iProver_Flat_'id_cblinfun$m'(X0_151) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_151=iProver_Domain_'C_b_prod_ell2_c_b_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'register_pair$o' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_164,X0_24,X0_142,X0_95] : 7.35/1.78 ( iProver_Flat_'register_pair$o'(X0_164,X0_24,X0_142,X0_95) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'f$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_92] : 7.35/1.78 ( iProver_Flat_'f$'(X0_92) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_92=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'butterfly$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_15,X0_127,X0_175] : 7.35/1.78 ( iProver_Flat_'butterfly$'(X0_15,X0_127,X0_175) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_15=iProver_Domain_'B_ell2_e_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_147] : 7.35/1.78 ( iProver_Flat_'cblinfun_compose$'(X0_147) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_147=iProver_Domain_'B_ell2_e_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uwp$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_46,X1_46] : 7.35/1.78 ( iProver_Flat_'uwp$'(X0_46,X1_46) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_46=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'one$a' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_74] : 7.35/1.78 ( iProver_Flat_'one$a'(X0_74) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_74=iProver_Domain_'Complex_complex_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'register_pair$j' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_79,X0_159,X0_121] : 7.35/1.78 ( iProver_Flat_'register_pair$j'(X0_79,X0_159,X0_121) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_79=iProver_Domain_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'tensor_op$n' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_50,X0_164,X0_54] : 7.35/1.78 ( iProver_Flat_'tensor_op$n'(X0_50,X0_164,X0_54) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_50=iProver_Domain_'D_c_prod_ell2_d_c_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$i' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_135,X1_135,X2_135] : 7.35/1.78 ( iProver_Flat_'cblinfun_compose$i'(X0_135,X1_135,X2_135) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_135=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uux$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_27,X0_54] : 7.35/1.78 ( iProver_Flat_'uux$'(X0_27,X0_54) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_27=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uwh$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_69,X0_75] : 7.35/1.78 ( iProver_Flat_'uwh$'(X0_69,X0_75) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_69=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'comp$o' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_92,X0_75,X1_92] : 7.35/1.78 ( iProver_Flat_'comp$o'(X0_92,X0_75,X1_92) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_92=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uwf$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_117,X0_138] : 7.35/1.78 ( iProver_Flat_'uwf$'(X0_117,X0_138) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_117=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uvn$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_86,X0_142] : 7.35/1.78 ( iProver_Flat_'uvn$'(X0_86,X0_142) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_86=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$au' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_90,X0_168,X0_76] : 7.35/1.78 ( iProver_Flat_'fun_app$au'(X0_90,X0_168,X0_76) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_90=iProver_Domain_'Complex_complex_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'cinner$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_168] : 7.35/1.78 ( iProver_Flat_'cinner$'(X0_168) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_168=iProver_Domain_'Complex_complex_complex_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'map_fun$d' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_139,X0_90,X0_49,X0_168] : 7.35/1.78 ( iProver_Flat_'map_fun$d'(X0_139,X0_90,X0_49,X0_168) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_139=iProver_Domain_'Complex_complex_complex_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'sandwich$e' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_138,X0_37] : 7.35/1.78 ( iProver_Flat_'sandwich$e'(X0_138,X0_37) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_138=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uvl$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_96,X0_23] : 7.35/1.78 ( iProver_Flat_'uvl$'(X0_96,X0_23) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_96=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'tensor_lift$f' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_93,X0_84] : 7.35/1.78 ( iProver_Flat_'tensor_lift$f'(X0_93,X0_84) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_93=iProver_Domain_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$dd' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_74,X0_139,X0_76] : 7.35/1.78 ( iProver_Flat_'fun_app$dd'(X0_74,X0_139,X0_76) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_74=iProver_Domain_'Complex_complex_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$t' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_28,X0_138,X0_164] : 7.35/1.78 ( iProver_Flat_'fun_app$t'(X0_28,X0_138,X0_164) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_28=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$bh' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_63,X0_158,X0_164] : 7.35/1.78 ( iProver_Flat_'fun_app$bh'(X0_63,X0_158,X0_164) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_63=iProver_Domain_'D_b_prod_ell2_d_b_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$ak' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_64,X0_86,X0_16] : 7.35/1.78 ( iProver_Flat_'fun_app$ak'(X0_64,X0_86,X0_16) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_64=iProver_Domain_'B_d_prod_ell2_b_d_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uur$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_87,X0_138,X0_23] : 7.35/1.78 ( iProver_Flat_'uur$'(X0_87,X0_138,X0_23) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_87=iProver_Domain_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uya$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_162,X1_162] : 7.35/1.78 ( iProver_Flat_'uya$'(X0_162,X1_162) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_162=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_2 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$ax' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_164,X0_17,X1_164] : 7.35/1.78 ( iProver_Flat_'fun_app$ax'(X0_164,X0_17,X1_164) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uve$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_149,X0_13] : 7.35/1.78 ( iProver_Flat_'uve$'(X0_149,X0_13) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_149=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uwt$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_155,X1_155] : 7.35/1.78 ( iProver_Flat_'uwt$'(X0_155,X1_155) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_155=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uuv$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_160,X0_28] : 7.35/1.78 ( iProver_Flat_'uuv$'(X0_160,X0_28) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_160=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'scaleC$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_168] : 7.35/1.78 ( iProver_Flat_'scaleC$'(X0_168) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_168=iProver_Domain_'Complex_complex_complex_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$ah' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_164,X0_142,X0_16] : 7.35/1.78 ( iProver_Flat_'fun_app$ah'(X0_164,X0_142,X0_16) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'register_tensor$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_120,X0_92,X1_92] : 7.35/1.78 ( iProver_Flat_'register_tensor$'(X0_120,X0_92,X1_92) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_120=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uvj$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_160,X0_75] : 7.35/1.78 ( iProver_Flat_'uvj$'(X0_160,X0_75) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_160=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'id_cblinfun$k' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_50] : 7.35/1.78 ( iProver_Flat_'id_cblinfun$k'(X0_50) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_50=iProver_Domain_'D_c_prod_ell2_d_c_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'scaleC$g' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_17,X0_76] : 7.35/1.78 ( iProver_Flat_'scaleC$g'(X0_17,X0_76) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_17=iProver_Domain_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$cn' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_135,X0_89,X0_130] : 7.35/1.78 ( iProver_Flat_'fun_app$cn'(X0_135,X0_89,X0_130) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_135=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uxi$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_92] : 7.35/1.78 ( iProver_Flat_'uxi$'(X0_92) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_92=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'id_cblinfun$h' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_105] : 7.35/1.78 ( iProver_Flat_'id_cblinfun$h'(X0_105) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_105=iProver_Domain_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fst$b' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_131] : 7.35/1.78 ( iProver_Flat_'fst$b'(X0_131) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_131=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'g$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_23] : 7.35/1.78 ( iProver_Flat_'g$'(X0_23) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_23=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uminus$f' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_17] : 7.35/1.78 ( iProver_Flat_'uminus$f'(X0_17) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_17=iProver_Domain_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'tensor_op$j' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_55,X0_28,X0_54] : 7.35/1.78 ( iProver_Flat_'tensor_op$j'(X0_55,X0_28,X0_54) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_55=iProver_Domain_'B_c_prod_ell2_b_c_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$bb' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_15,X0_52,X0_26] : 7.35/1.78 ( iProver_Flat_'fun_app$bb'(X0_15,X0_52,X0_26) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_15=iProver_Domain_'B_ell2_e_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'of_complex$a' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_74,X0_76] : 7.35/1.78 ( iProver_Flat_'of_complex$a'(X0_74,X0_76) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_74=iProver_Domain_'Complex_complex_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'comp$h' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_138,X0_92,X0_121] : 7.35/1.78 ( iProver_Flat_'comp$h'(X0_138,X0_92,X0_121) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_138=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'comp$y' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_40,X1_40,X0_116] : 7.35/1.78 ( iProver_Flat_'comp$y'(X0_40,X1_40,X0_116) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_40=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'butterfly$a' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_28,X0_175,X1_175] : 7.35/1.78 ( iProver_Flat_'butterfly$a'(X0_28,X0_175,X1_175) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_28=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'eps$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_162,X0_110] : 7.35/1.78 ( iProver_Flat_'eps$'(X0_162,X0_110) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_162=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uxt$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_168,X0_90] : 7.35/1.78 ( iProver_Flat_'uxt$'(X0_168,X0_90) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_168=iProver_Domain_'Complex_complex_complex_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$an' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_105,X0_165,X0_16] : 7.35/1.78 ( iProver_Flat_'fun_app$an'(X0_105,X0_165,X0_16) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_105=iProver_Domain_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uwb$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_42,X0_173] : 7.35/1.78 ( iProver_Flat_'uwb$'(X0_42,X0_173) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_42=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_c_prod_ell2_b_c_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uminus$c' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_161,X1_161] : 7.35/1.78 ( iProver_Flat_'uminus$c'(X0_161,X1_161) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_161=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'sandwich$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_142,X0_166] : 7.35/1.78 ( iProver_Flat_'sandwich$'(X0_142,X0_166) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_142=iProver_Domain_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uye$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_104] : 7.35/1.78 ( iProver_Flat_'uye$'(X0_104) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_104=iProver_Domain_'Complex_complex_fun_complex_complex_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'register_pair$i' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_48,X0_92,X0_75] : 7.35/1.78 ( iProver_Flat_'register_pair$i'(X0_48,X0_92,X0_75) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_48=iProver_Domain_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'id_cblinfun$e' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_135] : 7.35/1.78 ( iProver_Flat_'id_cblinfun$e'(X0_135) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_135=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'cblinfun_apply$e' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_138,X0_137] : 7.35/1.78 ( iProver_Flat_'cblinfun_apply$e'(X0_138,X0_137) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_138=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'tensor_lift$g' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_101,X0_87] : 7.35/1.78 ( iProver_Flat_'tensor_lift$g'(X0_101,X0_87) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_101=iProver_Domain_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'tensor_op$g' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_181,X0_16,X0_28] : 7.35/1.78 ( iProver_Flat_'tensor_op$g'(X0_181,X0_16,X0_28) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_181=iProver_Domain_'A_b_prod_ell2_a_b_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$bi' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_55,X0_42,X0_54] : 7.35/1.78 ( iProver_Flat_'fun_app$bi'(X0_55,X0_42,X0_54) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_55=iProver_Domain_'B_c_prod_ell2_b_c_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'tensor_lift$i' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_40,X0_39] : 7.35/1.78 ( iProver_Flat_'tensor_lift$i'(X0_40,X0_39) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_40=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'tensor_op$l' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_109,X0_54,X1_54] : 7.35/1.78 ( iProver_Flat_'tensor_op$l'(X0_109,X0_54,X1_54) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_109=iProver_Domain_'C_c_prod_ell2_c_c_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uul$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_39,X0_92,X0_23] : 7.35/1.78 ( iProver_Flat_'uul$'(X0_39,X0_92,X0_23) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_39=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$ar' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_15,X0_99,X0_54] : 7.35/1.78 ( iProver_Flat_'fun_app$ar'(X0_15,X0_99,X0_54) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_15=iProver_Domain_'B_ell2_e_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uww$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_153,X0_87] : 7.35/1.78 ( iProver_Flat_'uww$'(X0_153,X0_87) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_153=iProver_Domain_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$bm' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_138,X0_78,X0_164] : 7.35/1.78 ( iProver_Flat_'fun_app$bm'(X0_138,X0_78,X0_164) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_138=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$m' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_63,X1_63,X2_63] : 7.35/1.78 ( iProver_Flat_'cblinfun_compose$m'(X0_63,X1_63,X2_63) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_63=iProver_Domain_'D_b_prod_ell2_d_b_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$bl' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_90,X0_104,X1_90] : 7.35/1.78 ( iProver_Flat_'fun_app$bl'(X0_90,X0_104,X1_90) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_90=iProver_Domain_'Complex_complex_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'register_pair$a' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_154,X0_92,X1_92] : 7.35/1.78 ( iProver_Flat_'register_pair$a'(X0_154,X0_92,X1_92) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_154=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'cblinfun_apply$d' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_23,X0_119] : 7.35/1.78 ( iProver_Flat_'cblinfun_apply$d'(X0_23,X0_119) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_23=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uwe$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_165,X0_92] : 7.35/1.78 ( iProver_Flat_'uwe$'(X0_165,X0_92) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_165=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'register_pair$c' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_18,X0_23,X0_92] : 7.35/1.78 ( iProver_Flat_'register_pair$c'(X0_18,X0_23,X0_92) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_18=iProver_Domain_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'register_tensor$d' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_140,X0_23,X1_23] : 7.35/1.78 ( iProver_Flat_'register_tensor$d'(X0_140,X0_23,X1_23) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_140=iProver_Domain_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'scaleC$d' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_161,X0_76,X1_161] : 7.35/1.78 ( iProver_Flat_'scaleC$d'(X0_161,X0_76,X1_161) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_161=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'sandwich$c' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_92,X0_169] : 7.35/1.78 ( iProver_Flat_'sandwich$c'(X0_92,X0_169) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_92=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uvu$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_180,X0_92] : 7.35/1.78 ( iProver_Flat_'uvu$'(X0_180,X0_92) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_180=iProver_Domain_'A_ell2_a_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uvo$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_41,X0_13] : 7.35/1.78 ( iProver_Flat_'uvo$'(X0_41,X0_13) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_41=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_c_prod_ell2_b_c_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'register_pair$q' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_164,X0_142,X0_17,X0_130] : 7.35/1.78 ( iProver_Flat_'register_pair$q'(X0_164,X0_142,X0_17,X0_130) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'comp$n' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_138,X1_138,X0_17] : 7.35/1.78 ( iProver_Flat_'comp$n'(X0_138,X1_138,X0_17) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_138=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'sandwich$d' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_23,X0_143] : 7.35/1.78 ( iProver_Flat_'sandwich$d'(X0_23,X0_143) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_23=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$k' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_47,X0_32,X0_16] : 7.35/1.78 ( iProver_Flat_'fun_app$k'(X0_47,X0_32,X0_16) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_47=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$a' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_95,X0_102,X0_16] : 7.35/1.78 ( iProver_Flat_'fun_app$a'(X0_95,X0_102,X0_16) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_95=iProver_Domain_'C_a_prod_ell2_c_a_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$cu' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_95,X0_156,X0_161] : 7.35/1.78 ( iProver_Flat_'fun_app$cu'(X0_95,X0_156,X0_161) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_95=iProver_Domain_'C_a_prod_ell2_c_a_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uxe$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_101] : 7.35/1.78 ( iProver_Flat_'uxe$'(X0_101) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_101=iProver_Domain_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$l' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_105,X1_105,X2_105] : 7.35/1.78 ( iProver_Flat_'cblinfun_compose$l'(X0_105,X1_105,X2_105) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_105=iProver_Domain_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uvc$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_177,X0_179] : 7.35/1.78 ( iProver_Flat_'uvc$'(X0_177,X0_179) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_177=iProver_Domain_'C_ell2_c_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'comp$d' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_40,X0_18,X0_156] : 7.35/1.78 ( iProver_Flat_'comp$d'(X0_40,X0_18,X0_156) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_40=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'divide$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_168] : 7.35/1.78 ( iProver_Flat_'divide$'(X0_168) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_168=iProver_Domain_'Complex_complex_complex_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'swap$e' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_47,X1_47] : 7.35/1.78 ( iProver_Flat_'swap$e'(X0_47,X1_47) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_47=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$bv' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_15,X0_128,X0_16] : 7.35/1.78 ( iProver_Flat_'fun_app$bv'(X0_15,X0_128,X0_16) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_15=iProver_Domain_'B_ell2_e_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uvr$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_124,X0_23] : 7.35/1.78 ( iProver_Flat_'uvr$'(X0_124,X0_23) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_124=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$ab' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_105,X0_45,X0_54] : 7.35/1.78 ( iProver_Flat_'fun_app$ab'(X0_105,X0_45,X0_54) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_105=iProver_Domain_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'swap$c' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_135,X1_135] : 7.35/1.78 ( iProver_Flat_'swap$c'(X0_135,X1_135) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_135=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uwx$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_78,X1_78] : 7.35/1.78 ( iProver_Flat_'uwx$'(X0_78,X1_78) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_78=iProver_Domain_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uxc$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_163] : 7.35/1.78 ( iProver_Flat_'uxc$'(X0_163) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_163=iProver_Domain_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$as' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_99,X0_141,X0_16] : 7.35/1.78 ( iProver_Flat_'fun_app$as'(X0_99,X0_141,X0_16) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_99=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_e_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$ck' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_28,X0_59,X0_135] : 7.35/1.78 ( iProver_Flat_'fun_app$ck'(X0_28,X0_59,X0_135) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_28=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uwa$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_32] : 7.35/1.78 ( iProver_Flat_'uwa$'(X0_32) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_32=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$d' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_160,X0_81,X0_28] : 7.35/1.78 ( iProver_Flat_'fun_app$d'(X0_160,X0_81,X0_28) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_160=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'register_tensor$m' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_116,X0_159,X0_173] : 7.35/1.78 ( iProver_Flat_'register_tensor$m'(X0_116,X0_159,X0_173) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_116=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uxu$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_168] : 7.35/1.78 ( iProver_Flat_'uxu$'(X0_168) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_168=iProver_Domain_'Complex_complex_complex_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uvm$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_45,X0_179] : 7.35/1.78 ( iProver_Flat_'uvm$'(X0_45,X0_179) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_45=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$u' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_105,X0_117,X0_164] : 7.35/1.78 ( iProver_Flat_'fun_app$u'(X0_105,X0_117,X0_164) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_105=iProver_Domain_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$v' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_47,X0_66,X0_164] : 7.35/1.78 ( iProver_Flat_'fun_app$v'(X0_47,X0_66,X0_164) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_47=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$bd' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_159,X0_51,X0_16] : 7.35/1.78 ( iProver_Flat_'fun_app$bd'(X0_159,X0_51,X0_16) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_159=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'comp$e' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_104,X0_90] : 7.35/1.78 ( iProver_Flat_'comp$e'(X0_104,X0_90) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_104=iProver_Domain_'Complex_complex_fun_complex_complex_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$ac' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_181,X0_177,X0_54] : 7.35/1.78 ( iProver_Flat_'fun_app$ac'(X0_181,X0_177,X0_54) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_181=iProver_Domain_'A_b_prod_ell2_a_b_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'register_tensor$i' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_133,X0_92,X0_179] : 7.35/1.78 ( iProver_Flat_'register_tensor$i'(X0_133,X0_92,X0_179) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_133=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fst$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_27] : 7.35/1.78 ( iProver_Flat_'fst$'(X0_27) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_27=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$de' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_74,X0_49,X0_90] : 7.35/1.78 ( iProver_Flat_'fun_app$de'(X0_74,X0_49,X0_90) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_74=iProver_Domain_'Complex_complex_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'map_fun$a' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_147,X0_172,X0_30,X0_77] : 7.35/1.78 ( iProver_Flat_'map_fun$a'(X0_147,X0_172,X0_30,X0_77) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_147=iProver_Domain_'B_ell2_e_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'register_tensor$l' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_31,X0_13,X0_24] : 7.35/1.78 ( iProver_Flat_'register_tensor$l'(X0_31,X0_13,X0_24) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_31=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_d_prod_ell2_c_d_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uuk$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_46,X0_92,X1_92] : 7.35/1.78 ( iProver_Flat_'uuk$'(X0_46,X0_92,X1_92) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_46=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uxh$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_162] : 7.35/1.78 ( iProver_Flat_'uxh$'(X0_162) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_162=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_2 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'minus$c' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_161,X1_161,X2_161] : 7.35/1.78 ( iProver_Flat_'minus$c'(X0_161,X1_161,X2_161) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_161=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$bw' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_128,X0_72,X0_161] : 7.35/1.78 ( iProver_Flat_'fun_app$bw'(X0_128,X0_72,X0_161) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_128=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_e_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'minus$e' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_173,X0_54] : 7.35/1.78 ( iProver_Flat_'minus$e'(X0_173,X0_54) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_173=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$x' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_54,X0_173,X1_54] : 7.35/1.78 ( iProver_Flat_'fun_app$x'(X0_54,X0_173,X1_54) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uwy$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_154] : 7.35/1.78 ( iProver_Flat_'uwy$'(X0_154) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_154=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'zero$a' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_15] : 7.35/1.78 ( iProver_Flat_'zero$a'(X0_15) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_15=iProver_Domain_'B_ell2_e_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'cadjoint$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_104] : 7.35/1.78 ( iProver_Flat_'cadjoint$'(X0_104) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_104=iProver_Domain_'Complex_complex_fun_complex_complex_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uvt$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_160,X0_75] : 7.35/1.78 ( iProver_Flat_'uvt$'(X0_160,X0_75) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_160=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$br' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_23,X0_155,X0_54] : 7.35/1.78 ( iProver_Flat_'fun_app$br'(X0_23,X0_155,X0_54) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_23=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'plus$b' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_75,X0_28] : 7.35/1.78 ( iProver_Flat_'plus$b'(X0_75,X0_28) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_75=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'swap$d' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_114,X0_130] : 7.35/1.78 ( iProver_Flat_'swap$d'(X0_114,X0_130) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_114=iProver_Domain_'D_a_prod_ell2_d_a_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$bo' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_23,X0_87,X0_164] : 7.35/1.78 ( iProver_Flat_'fun_app$bo'(X0_23,X0_87,X0_164) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_23=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'register_tensor$f' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_36,X0_138,X0_92] : 7.35/1.78 ( iProver_Flat_'register_tensor$f'(X0_36,X0_138,X0_92) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_36=iProver_Domain_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$ay' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_17,X0_34,X0_164] : 7.35/1.78 ( iProver_Flat_'fun_app$ay'(X0_17,X0_34,X0_164) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_17=iProver_Domain_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'scaleC$a' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_15,X0_76,X1_15] : 7.35/1.78 ( iProver_Flat_'scaleC$a'(X0_15,X0_76,X1_15) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_15=iProver_Domain_'B_ell2_e_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'comp$ab' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_92,X0_68,X0_131] : 7.35/1.78 ( iProver_Flat_'comp$ab'(X0_92,X0_68,X0_131) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_92=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uyb$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_92,X1_92] : 7.35/1.78 ( iProver_Flat_'uyb$'(X0_92,X1_92) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_92=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'comp$w' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_40,X0_68,X0_100] : 7.35/1.78 ( iProver_Flat_'comp$w'(X0_40,X0_68,X0_100) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_40=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$h' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_161,X0_27,X0_16] : 7.35/1.78 ( iProver_Flat_'fun_app$h'(X0_161,X0_27,X0_16) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_161=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'id_cblinfun$g' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_55] : 7.35/1.78 ( iProver_Flat_'id_cblinfun$g'(X0_55) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_55=iProver_Domain_'B_c_prod_ell2_b_c_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uvh$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_124,X0_23] : 7.35/1.78 ( iProver_Flat_'uvh$'(X0_124,X0_23) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_124=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'snd$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_150] : 7.35/1.78 ( iProver_Flat_'snd$'(X0_150) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_150=iProver_Domain_'C_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$cm' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_135,X0_176,X0_161] : 7.35/1.78 ( iProver_Flat_'fun_app$cm'(X0_135,X0_176,X0_161) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_135=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$aa' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_135,X0_124,X0_54] : 7.35/1.78 ( iProver_Flat_'fun_app$aa'(X0_135,X0_124,X0_54) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_135=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uuc$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_17,X0_164] : 7.35/1.78 ( iProver_Flat_'uuc$'(X0_17,X0_164) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_17=iProver_Domain_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'one$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_76] : 7.35/1.78 ( iProver_Flat_'one$'(X0_76) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_76=iProver_Domain_'Complex'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'map_fun$b' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_30,X0_62,X0_125] : 7.35/1.78 ( iProver_Flat_'map_fun$b'(X0_30,X0_62,X0_125) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_30=iProver_Domain_'B_ell2_b_ell2_fun_b_ell2_e_fun_fun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uwj$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_122,X0_173] : 7.35/1.78 ( iProver_Flat_'uwj$'(X0_122,X0_173) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_122=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$q' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_28,X0_75,X1_28] : 7.35/1.78 ( iProver_Flat_'fun_app$q'(X0_28,X0_75,X1_28) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_28=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'register_pair$k' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_111,X0_142,X0_24] : 7.35/1.78 ( iProver_Flat_'register_pair$k'(X0_111,X0_142,X0_24) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_111=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'register_tensor$e' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_113,X0_23,X0_138] : 7.35/1.78 ( iProver_Flat_'register_tensor$e'(X0_113,X0_23,X0_138) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_113=iProver_Domain_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uwr$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_84,X0_129] : 7.35/1.78 ( iProver_Flat_'uwr$'(X0_84,X0_129) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_84=iProver_Domain_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'id$a' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_104] : 7.35/1.78 ( iProver_Flat_'id$a'(X0_104) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_104=iProver_Domain_'Complex_complex_fun_complex_complex_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'swap$b' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_130,X0_114] : 7.35/1.78 ( iProver_Flat_'swap$b'(X0_130,X0_114) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_130=iProver_Domain_'A_d_prod_ell2_a_d_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'comp$s' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_23,X0_75,X1_23] : 7.35/1.78 ( iProver_Flat_'comp$s'(X0_23,X0_75,X1_23) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_23=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uvx$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_131] : 7.35/1.78 ( iProver_Flat_'uvx$'(X0_131) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_131=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'register_pair$h' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_60,X0_138,X1_138] : 7.35/1.78 ( iProver_Flat_'register_pair$h'(X0_60,X0_138,X1_138) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_60=iProver_Domain_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$j' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_64,X1_64,X2_64] : 7.35/1.78 ( iProver_Flat_'cblinfun_compose$j'(X0_64,X1_64,X2_64) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_64=iProver_Domain_'B_d_prod_ell2_b_d_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'comp$x' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_40,X0_163,X0_31] : 7.35/1.78 ( iProver_Flat_'comp$x'(X0_40,X0_163,X0_31) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_40=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uum$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_129,X0_92,X0_138] : 7.35/1.78 ( iProver_Flat_'uum$'(X0_129,X0_92,X0_138) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_129=iProver_Domain_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'register_pair$e' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_163,X0_23,X0_138] : 7.35/1.78 ( iProver_Flat_'register_pair$e'(X0_163,X0_23,X0_138) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_163=iProver_Domain_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uvq$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_97,X0_92] : 7.35/1.78 ( iProver_Flat_'uvq$'(X0_97,X0_92) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_97=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$i' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_161,X0_150,X0_54] : 7.35/1.78 ( iProver_Flat_'fun_app$i'(X0_161,X0_150,X0_54) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_161=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uun$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_98,X0_23,X0_92] : 7.35/1.78 ( iProver_Flat_'uun$'(X0_98,X0_23,X0_92) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_98=iProver_Domain_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uva$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_56,X0_174] : 7.35/1.78 ( iProver_Flat_'uva$'(X0_56,X0_174) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_56=iProver_Domain_'C_ell2_c_ell2_cblinfun_bool_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'sandwich$a' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_13,X0_170] : 7.35/1.78 ( iProver_Flat_'sandwich$a'(X0_13,X0_170) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_13=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'comp$ac' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_23,X0_163,X0_148] : 7.35/1.78 ( iProver_Flat_'comp$ac'(X0_23,X0_163,X0_148) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_23=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'cblinfun_cinner_right$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_139] : 7.35/1.78 ( iProver_Flat_'cblinfun_cinner_right$'(X0_139) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_139=iProver_Domain_'Complex_complex_complex_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'scaleC$e' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_159,X0_76] : 7.35/1.78 ( iProver_Flat_'scaleC$e'(X0_159,X0_76) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_159=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'inverse$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_90] : 7.35/1.78 ( iProver_Flat_'inverse$'(X0_90) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_90=iProver_Domain_'Complex_complex_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uwv$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_129,X0_84] : 7.35/1.78 ( iProver_Flat_'uwv$'(X0_129,X0_84) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_129=iProver_Domain_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'h$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_138] : 7.35/1.78 ( iProver_Flat_'h$'(X0_138) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_138=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'register_tensor$a' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_176,X0_92,X0_23] : 7.35/1.78 ( iProver_Flat_'register_tensor$a'(X0_176,X0_92,X0_23) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_176=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uui$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_159] : 7.35/1.78 ( iProver_Flat_'uui$'(X0_159) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_159=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'id_cblinfun$j' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_134] : 7.35/1.78 ( iProver_Flat_'id_cblinfun$j'(X0_134) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_134=iProver_Domain_'D_d_prod_ell2_d_d_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'cinner$a' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_76,X0_175,X1_175] : 7.35/1.78 ( iProver_Flat_'cinner$a'(X0_76,X0_175,X1_175) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_76=iProver_Domain_'Complex'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'comp$ag' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_118,X0_126,X0_145] : 7.35/1.78 ( iProver_Flat_'comp$ag'(X0_118,X0_126,X0_145) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_118=iProver_Domain_'Complex_complex_complex_cblinfun_complex_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uug$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_40,X0_28] : 7.35/1.78 ( iProver_Flat_'uug$'(X0_40,X0_28) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_40=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$p' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_28,X0_40,X0_161] : 7.35/1.78 ( iProver_Flat_'fun_app$p'(X0_28,X0_40,X0_161) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_28=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'scaleC$b' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_75,X0_76] : 7.35/1.78 ( iProver_Flat_'scaleC$b'(X0_75,X0_76) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_75=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$cl' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_135,X0_120,X0_47] : 7.35/1.78 ( iProver_Flat_'fun_app$cl'(X0_135,X0_120,X0_47) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_135=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'of_complex$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_90] : 7.35/1.78 ( iProver_Flat_'of_complex$'(X0_90) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_90=iProver_Domain_'Complex_complex_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uxq$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_92,X1_92,X0_76] : 7.35/1.78 ( iProver_Flat_'uxq$'(X0_92,X1_92,X0_76) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_92=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uue$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_159,X0_16] : 7.35/1.78 ( iProver_Flat_'uue$'(X0_159,X0_16) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_159=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uwo$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_168,X1_168] : 7.35/1.78 ( iProver_Flat_'uwo$'(X0_168,X1_168) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_168=iProver_Domain_'Complex_complex_complex_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uxp$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_162,X1_162,X0_76] : 7.35/1.78 ( iProver_Flat_'uxp$'(X0_162,X1_162,X0_76) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_162=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_2 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'comp$c' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_23,X0_18,X0_122] : 7.35/1.78 ( iProver_Flat_'comp$c'(X0_23,X0_18,X0_122) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_23=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uus$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_78,X0_138,X1_138] : 7.35/1.78 ( iProver_Flat_'uus$'(X0_78,X0_138,X1_138) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_78=iProver_Domain_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$az' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_173,X0_71,X0_54] : 7.35/1.78 ( iProver_Flat_'fun_app$az'(X0_173,X0_71,X0_54) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_173=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$k' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_55,X1_55,X2_55] : 7.35/1.78 ( iProver_Flat_'cblinfun_compose$k'(X0_55,X1_55,X2_55) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_55=iProver_Domain_'B_c_prod_ell2_b_c_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uxb$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_14] : 7.35/1.78 ( iProver_Flat_'uxb$'(X0_14) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_14=iProver_Domain_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'register_pair$b' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_68,X0_92,X0_138] : 7.35/1.78 ( iProver_Flat_'register_pair$b'(X0_68,X0_92,X0_138) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_68=iProver_Domain_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$cy' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_127,X0_83,X0_175] : 7.35/1.78 ( iProver_Flat_'fun_app$cy'(X0_127,X0_83,X0_175) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_127=iProver_Domain_'E'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$bk' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_55,X0_41,X0_16] : 7.35/1.78 ( iProver_Flat_'fun_app$bk'(X0_55,X0_41,X0_16) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_55=iProver_Domain_'B_c_prod_ell2_b_c_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'collect$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_171,X0_152] : 7.35/1.78 ( iProver_Flat_'collect$'(X0_171,X0_152) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_171=iProver_Domain_'D_ell2_d_ell2_cblinfun_set'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'register_pair$n' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_59,X0_75,X1_75] : 7.35/1.78 ( iProver_Flat_'register_pair$n'(X0_59,X0_75,X1_75) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_59=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uvw$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_160] : 7.35/1.78 ( iProver_Flat_'uvw$'(X0_160) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_160=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'cblinfun_mult_left$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_139] : 7.35/1.78 ( iProver_Flat_'cblinfun_mult_left$'(X0_139) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_139=iProver_Domain_'Complex_complex_complex_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'tensor_op$e' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_105,X0_28,X0_16] : 7.35/1.78 ( iProver_Flat_'tensor_op$e'(X0_105,X0_28,X0_16) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_105=iProver_Domain_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'bifunctional$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_115] : 7.35/1.78 ( iProver_Flat_'bifunctional$'(X0_115) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_115=iProver_Domain_'Complex_complex_complex_cblinfun_complex_cblinfun_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'sandwich$b' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_159,X0_16] : 7.35/1.78 ( iProver_Flat_'sandwich$b'(X0_159,X0_16) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_159=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uuj$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_90] : 7.35/1.78 ( iProver_Flat_'uuj$'(X0_90) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_90=iProver_Domain_'Complex_complex_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'adj$b' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_173] : 7.35/1.78 ( iProver_Flat_'adj$b'(X0_173) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_173=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$cr' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_135,X0_36,X0_114] : 7.35/1.78 ( iProver_Flat_'fun_app$cr'(X0_135,X0_36,X0_114) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_135=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$j' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_150,X0_91,X0_16] : 7.35/1.78 ( iProver_Flat_'fun_app$j'(X0_150,X0_91,X0_16) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_150=iProver_Domain_'C_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'minus$b' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_168] : 7.35/1.78 ( iProver_Flat_'minus$b'(X0_168) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_168=iProver_Domain_'Complex_complex_complex_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'comp$f' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_92,X1_92,X0_159] : 7.35/1.78 ( iProver_Flat_'comp$f'(X0_92,X1_92,X0_159) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_92=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'collect$a' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_174,X0_56] : 7.35/1.78 ( iProver_Flat_'collect$a'(X0_174,X0_56) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_174=iProver_Domain_'C_ell2_c_ell2_cblinfun_set'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$o' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_123,X0_147,X0_15] : 7.35/1.78 ( iProver_Flat_'fun_app$o'(X0_123,X0_147,X0_15) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_123=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'register_pair$l' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_29,X0_13,X0_173] : 7.35/1.78 ( iProver_Flat_'register_pair$l'(X0_29,X0_13,X0_173) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_29=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'comp$l' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_92,X0_138,X0_142] : 7.35/1.78 ( iProver_Flat_'comp$l'(X0_92,X0_138,X0_142) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_92=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'id_cblinfun$o' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_74] : 7.35/1.78 ( iProver_Flat_'id_cblinfun$o'(X0_74) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_74=iProver_Domain_'Complex_complex_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'zero$d' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_16] : 7.35/1.78 ( iProver_Flat_'zero$d'(X0_16) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'tensor_op$h' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_63,X0_164,X0_28] : 7.35/1.78 ( iProver_Flat_'tensor_op$h'(X0_63,X0_164,X0_28) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_63=iProver_Domain_'D_b_prod_ell2_d_b_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'tensor_op$i' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_151,X0_54,X0_28] : 7.35/1.78 ( iProver_Flat_'tensor_op$i'(X0_151,X0_54,X0_28) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_151=iProver_Domain_'C_b_prod_ell2_c_b_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uuy$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_32,X0_16] : 7.35/1.78 ( iProver_Flat_'uuy$'(X0_32,X0_16) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_32=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$ct' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_135,X0_73,X0_134] : 7.35/1.78 ( iProver_Flat_'fun_app$ct'(X0_135,X0_73,X0_134) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_135=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'comp$g' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_23,X0_92,X0_179] : 7.35/1.78 ( iProver_Flat_'comp$g'(X0_23,X0_92,X0_179) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_23=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$ao' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_181,X0_53,X0_16] : 7.35/1.78 ( iProver_Flat_'fun_app$ao'(X0_181,X0_53,X0_16) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_181=iProver_Domain_'A_b_prod_ell2_a_b_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'register_pair$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_40,X0_92,X0_23] : 7.35/1.78 ( iProver_Flat_'register_pair$'(X0_40,X0_92,X0_23) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_40=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uyd$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_138,X1_138] : 7.35/1.78 ( iProver_Flat_'uyd$'(X0_138,X1_138) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_138=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$aw' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_20,X0_145,X0_76] : 7.35/1.78 ( iProver_Flat_'fun_app$aw'(X0_20,X0_145,X0_76) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_20=iProver_Domain_'Complex_complex_cblinfun_complex_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uwm$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_106,X0_179] : 7.35/1.78 ( iProver_Flat_'uwm$'(X0_106,X0_179) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_106=iProver_Domain_'C_ell2_c_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'id_cblinfun$i' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_63] : 7.35/1.78 ( iProver_Flat_'id_cblinfun$i'(X0_63) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_63=iProver_Domain_'D_b_prod_ell2_d_b_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uvz$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_122] : 7.35/1.78 ( iProver_Flat_'uvz$'(X0_122) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_122=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$cp' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_135,X0_140,X0_109] : 7.35/1.78 ( iProver_Flat_'fun_app$cp'(X0_135,X0_140,X0_109) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_135=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'cblinfun_apply$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_90,X0_74] : 7.35/1.78 ( iProver_Flat_'cblinfun_apply$'(X0_90,X0_74) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_90=iProver_Domain_'Complex_complex_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uuw$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_131,X0_164] : 7.35/1.78 ( iProver_Flat_'uuw$'(X0_131,X0_164) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_131=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$ch' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_54,X0_103,X0_28] : 7.35/1.78 ( iProver_Flat_'fun_app$ch'(X0_54,X0_103,X0_28) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uxy$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_138,X1_138,X2_138] : 7.35/1.78 ( iProver_Flat_'uxy$'(X0_138,X1_138,X2_138) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_138=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'id_cblinfun$c' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_54] : 7.35/1.78 ( iProver_Flat_'id_cblinfun$c'(X0_54) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uwz$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_68] : 7.35/1.78 ( iProver_Flat_'uwz$'(X0_68) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_68=iProver_Domain_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'comp$v' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_40,X0_59,X0_176] : 7.35/1.78 ( iProver_Flat_'comp$v'(X0_40,X0_59,X0_176) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_40=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$f' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_130,X0_57,X0_164] : 7.35/1.78 ( iProver_Flat_'fun_app$f'(X0_130,X0_57,X0_164) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_130=iProver_Domain_'A_d_prod_ell2_a_d_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uwn$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_110,X0_141] : 7.35/1.78 ( iProver_Flat_'uwn$'(X0_110,X0_141) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_110=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun_bool_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uud$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_173,X0_54] : 7.35/1.78 ( iProver_Flat_'uud$'(X0_173,X0_54) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_173=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$bp' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_138,X0_129,X0_16] : 7.35/1.78 ( iProver_Flat_'fun_app$bp'(X0_138,X0_129,X0_16) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_138=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'minus$a' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_75,X0_28] : 7.35/1.78 ( iProver_Flat_'minus$a'(X0_75,X0_28) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_75=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'comp$t' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_40,X0_75,X1_40] : 7.35/1.78 ( iProver_Flat_'comp$t'(X0_40,X0_75,X1_40) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_40=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uvk$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_86,X0_92] : 7.35/1.78 ( iProver_Flat_'uvk$'(X0_86,X0_92) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_86=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'comp$af' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_118,X1_118,X0_90] : 7.35/1.78 ( iProver_Flat_'comp$af'(X0_118,X1_118,X0_90) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_118=iProver_Domain_'Complex_complex_complex_cblinfun_complex_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uxd$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_93] : 7.35/1.78 ( iProver_Flat_'uxd$'(X0_93) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_93=iProver_Domain_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$l' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_32,X0_80,X0_16] : 7.35/1.78 ( iProver_Flat_'fun_app$l'(X0_32,X0_80,X0_16) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_32=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$cg' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_164,X0_24,X0_54] : 7.35/1.78 ( iProver_Flat_'fun_app$cg'(X0_164,X0_24,X0_54) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$by' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_28,X0_101,X0_50] : 7.35/1.78 ( iProver_Flat_'fun_app$by'(X0_28,X0_101,X0_50) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_28=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$bu' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_92,X0_46,X0_16] : 7.35/1.78 ( iProver_Flat_'fun_app$bu'(X0_92,X0_46,X0_16) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_92=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uminus$d' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_159] : 7.35/1.78 ( iProver_Flat_'uminus$d'(X0_159) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_159=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uu$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_162] : 7.35/1.78 ( iProver_Flat_'uu$'(X0_162) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_162=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'id_cblinfun$a' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_28] : 7.35/1.78 ( iProver_Flat_'id_cblinfun$a'(X0_28) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_28=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$ci' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_54,X0_43,X0_164] : 7.35/1.78 ( iProver_Flat_'fun_app$ci'(X0_54,X0_43,X0_164) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uwc$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_117,X0_121] : 7.35/1.78 ( iProver_Flat_'uwc$'(X0_117,X0_121) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_117=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uvi$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_82,X0_138] : 7.35/1.78 ( iProver_Flat_'uvi$'(X0_82,X0_138) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_82=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uwu$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_87,X0_153] : 7.35/1.78 ( iProver_Flat_'uwu$'(X0_87,X0_153) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_87=iProver_Domain_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uut$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_72,X0_162,X0_92] : 7.35/1.78 ( iProver_Flat_'uut$'(X0_72,X0_162,X0_92) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_72=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$q' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_151,X1_151,X2_151] : 7.35/1.78 ( iProver_Flat_'cblinfun_compose$q'(X0_151,X1_151,X2_151) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_151=iProver_Domain_'C_b_prod_ell2_c_b_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'comp$a' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_23,X0_40,X0_150] : 7.35/1.78 ( iProver_Flat_'comp$a'(X0_23,X0_40,X0_150) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_23=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'scaleC$f' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_173,X0_76] : 7.35/1.78 ( iProver_Flat_'scaleC$f'(X0_173,X0_76) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_173=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'snd$b' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_57] : 7.35/1.78 ( iProver_Flat_'snd$b'(X0_57) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_57=iProver_Domain_'D_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$bq' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_92,X0_84,X0_164] : 7.35/1.78 ( iProver_Flat_'fun_app$bq'(X0_92,X0_84,X0_164) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_92=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uxz$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_104,X0_90] : 7.35/1.78 ( iProver_Flat_'uxz$'(X0_104,X0_90) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_104=iProver_Domain_'Complex_complex_fun_complex_complex_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'register_pair$p' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_164,X0_21,X1_21,X0_135] : 7.35/1.78 ( iProver_Flat_'register_pair$p'(X0_164,X0_21,X1_21,X0_135) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$at' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_76,X0_90,X1_76] : 7.35/1.78 ( iProver_Flat_'fun_app$at'(X0_76,X0_90,X1_76) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_76=iProver_Domain_'Complex'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uuo$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_155,X0_23,X1_23] : 7.35/1.78 ( iProver_Flat_'uuo$'(X0_155,X0_23,X1_23) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_155=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'comp$q' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_40,X0_23,X0_29] : 7.35/1.78 ( iProver_Flat_'comp$q'(X0_40,X0_23,X0_29) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_40=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$o' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_50,X1_50,X2_50] : 7.35/1.78 ( iProver_Flat_'cblinfun_compose$o'(X0_50,X1_50,X2_50) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_50=iProver_Domain_'D_c_prod_ell2_d_c_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$dc' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_115,X0_167,X0_118] : 7.35/1.78 ( iProver_Flat_'fun_app$dc'(X0_115,X0_167,X0_118) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_115=iProver_Domain_'Complex_complex_complex_cblinfun_complex_cblinfun_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uvy$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_27] : 7.35/1.78 ( iProver_Flat_'uvy$'(X0_27) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_27=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'comp$j' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_23,X1_23,X0_173] : 7.35/1.78 ( iProver_Flat_'comp$j'(X0_23,X1_23,X0_173) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_23=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$cx' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_35,X0_62,X0_28] : 7.35/1.78 ( iProver_Flat_'fun_app$cx'(X0_35,X0_62,X0_28) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_35=iProver_Domain_'B_ell2_b_ell2_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'register_tensor$g' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_108,X0_138,X0_23] : 7.35/1.78 ( iProver_Flat_'register_tensor$g'(X0_108,X0_138,X0_23) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_108=iProver_Domain_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'register_pair$m' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_178,X0_159,X0_179] : 7.35/1.78 ( iProver_Flat_'register_pair$m'(X0_178,X0_159,X0_179) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_178=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'tensor_lift$c' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_18,X0_98] : 7.35/1.78 ( iProver_Flat_'tensor_lift$c'(X0_18,X0_98) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_18=iProver_Domain_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$r' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_75,X0_94,X0_28] : 7.35/1.78 ( iProver_Flat_'fun_app$r'(X0_75,X0_94,X0_28) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_75=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'tensor_lift$d' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_14,X0_155] : 7.35/1.78 ( iProver_Flat_'tensor_lift$d'(X0_14,X0_155) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_14=iProver_Domain_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$ba' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_15,X0_146,X1_15] : 7.35/1.78 ( iProver_Flat_'fun_app$ba'(X0_15,X0_146,X1_15) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_15=iProver_Domain_'B_ell2_e_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'uwg$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_45,X0_23] : 7.35/1.78 ( iProver_Flat_'uwg$'(X0_45,X0_23) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_45=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$cv' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_16,X0_136,X0_28] : 7.35/1.78 ( iProver_Flat_'fun_app$cv'(X0_16,X0_136,X0_28) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$ap' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_16,X0_159,X1_16] : 7.35/1.78 ( iProver_Flat_'fun_app$ap'(X0_16,X0_159,X1_16) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'minus$' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_15,X1_15,X2_15] : 7.35/1.78 ( iProver_Flat_'minus$'(X0_15,X1_15,X2_15) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_15=iProver_Domain_'B_ell2_e_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$cz' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_83,X0_172,X0_15] : 7.35/1.78 ( iProver_Flat_'fun_app$cz'(X0_83,X0_172,X0_15) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_83=iProver_Domain_'B_ell2_e_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'tensor_lift$h' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_60,X0_78] : 7.35/1.78 ( iProver_Flat_'tensor_lift$h'(X0_60,X0_78) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_60=iProver_Domain_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'id_cblinfun$f' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_64] : 7.35/1.78 ( iProver_Flat_'id_cblinfun$f'(X0_64) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_64=iProver_Domain_'B_d_prod_ell2_b_d_prod_ell2_cblinfun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'fun_app$g' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_57,X0_132,X0_16] : 7.35/1.78 ( iProver_Flat_'fun_app$g'(X0_57,X0_132,X0_16) <=> 7.35/1.78 ( 7.35/1.78 ( 7.35/1.78 ( X0_57=iProver_Domain_'D_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'_1 ) 7.35/1.78 ) 7.35/1.78 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ) 7.35/1.78 ). 7.35/1.78 7.35/1.78 %------ Positive definition of iProver_Flat_'comp$b' 7.35/1.78 fof(lit_def,axiom, 7.35/1.78 (! [X0_92,X0_18,X0_102] : 7.35/1.78 ( iProver_Flat_'comp$b'(X0_92,X0_18,X0_102) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_92=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_'cblinfun_compose$f' 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_28,X0_65,X0_15] : 7.35/1.79 ( iProver_Flat_'cblinfun_compose$f'(X0_28,X0_65,X0_15) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_28=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_'cblinfun_compose$n' 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_134,X1_134,X2_134] : 7.35/1.79 ( iProver_Flat_'cblinfun_compose$n'(X0_134,X1_134,X2_134) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_134=iProver_Domain_'D_d_prod_ell2_d_d_prod_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_'register_tensor$k' 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_100,X0_159,X0_24] : 7.35/1.79 ( iProver_Flat_'register_tensor$k'(X0_100,X0_159,X0_24) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_100=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_'fun_app$m' 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_15,X0_162,X0_161] : 7.35/1.79 ( iProver_Flat_'fun_app$m'(X0_15,X0_162,X0_161) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_15=iProver_Domain_'B_ell2_e_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_'id_cblinfun$n' 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_19] : 7.35/1.79 ( iProver_Flat_'id_cblinfun$n'(X0_19) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_19=iProver_Domain_'C_d_prod_ell2_c_d_prod_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_'zero$b' 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_76] : 7.35/1.79 ( iProver_Flat_'zero$b'(X0_76) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_76=iProver_Domain_'Complex'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_'fun_app$ce' 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_28,X0_154,X0_47] : 7.35/1.79 ( iProver_Flat_'fun_app$ce'(X0_28,X0_154,X0_47) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_28=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_'id_cblinfun$' 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_16] : 7.35/1.79 ( iProver_Flat_'id_cblinfun$'(X0_16) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_'fun_app$bc' 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_146,X0_107,X0_26] : 7.35/1.79 ( iProver_Flat_'fun_app$bc'(X0_146,X0_107,X0_26) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_146=iProver_Domain_'B_ell2_e_cblinfun_b_ell2_e_cblinfun_fun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_'uwd$' 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_158,X0_138] : 7.35/1.79 ( iProver_Flat_'uwd$'(X0_158,X0_138) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_158=iProver_Domain_'D_ell2_d_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_'fun_app$e' 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_130,X0_131,X0_16] : 7.35/1.79 ( iProver_Flat_'fun_app$e'(X0_130,X0_131,X0_16) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_130=iProver_Domain_'A_d_prod_ell2_a_d_prod_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_'uminus$e' 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_173] : 7.35/1.79 ( iProver_Flat_'uminus$e'(X0_173) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_173=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_'adj$' 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_159] : 7.35/1.79 ( iProver_Flat_'adj$'(X0_159) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_159=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_'comp$k' 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_138,X0_23,X0_43] : 7.35/1.79 ( iProver_Flat_'comp$k'(X0_138,X0_23,X0_43) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_138=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_'uwi$' 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_102,X0_13] : 7.35/1.79 ( iProver_Flat_'uwi$'(X0_102,X0_13) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_102=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_'register_tensor$h' 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_73,X0_138,X1_138] : 7.35/1.79 ( iProver_Flat_'register_tensor$h'(X0_73,X0_138,X1_138) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_73=iProver_Domain_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_'fun_app$aj' 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_54,X0_13,X0_16] : 7.35/1.79 ( iProver_Flat_'fun_app$aj'(X0_54,X0_13,X0_16) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_'uminus$a' 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_75] : 7.35/1.79 ( iProver_Flat_'uminus$a'(X0_75) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_75=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_'fun_app$cw' 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_175,X0_35,X1_175] : 7.35/1.79 ( iProver_Flat_'fun_app$cw'(X0_175,X0_35,X1_175) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_175=iProver_Domain_'B_ell2'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_'comp$u' 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_138,X0_75,X1_138] : 7.35/1.79 ( iProver_Flat_'comp$u'(X0_138,X0_75,X1_138) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_138=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_'cblinfun_compose$p' 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_114,X1_114,X2_114] : 7.35/1.79 ( iProver_Flat_'cblinfun_compose$p'(X0_114,X1_114,X2_114) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_114=iProver_Domain_'D_a_prod_ell2_d_a_prod_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_'fun_app$z' 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_28,X0_23,X0_54] : 7.35/1.79 ( iProver_Flat_'fun_app$z'(X0_28,X0_23,X0_54) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_28=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_'fun_app$av' 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_76,X0_20,X0_74] : 7.35/1.79 ( iProver_Flat_'fun_app$av'(X0_76,X0_20,X0_74) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_76=iProver_Domain_'Complex'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_'uxf$' 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_60] : 7.35/1.79 ( iProver_Flat_'uxf$'(X0_60) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_60=iProver_Domain_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_'adj$c' 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_17] : 7.35/1.79 ( iProver_Flat_'adj$c'(X0_17) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_17=iProver_Domain_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_'cblinfun_scaleC_left$' 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_139] : 7.35/1.79 ( iProver_Flat_'cblinfun_scaleC_left$'(X0_139) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_139=iProver_Domain_'Complex_complex_complex_cblinfun_fun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_'uvd$' 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_180,X0_142] : 7.35/1.79 ( iProver_Flat_'uvd$'(X0_180,X0_142) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_180=iProver_Domain_'A_ell2_a_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_'fun_app$n' 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_15,X0_123,X0_28] : 7.35/1.79 ( iProver_Flat_'fun_app$n'(X0_15,X0_123,X0_28) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_15=iProver_Domain_'B_ell2_e_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_'tensor_op$o' 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_134,X0_164,X1_164] : 7.35/1.79 ( iProver_Flat_'tensor_op$o'(X0_134,X0_164,X1_164) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_134=iProver_Domain_'D_d_prod_ell2_d_d_prod_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_'zero$' 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_28] : 7.35/1.79 ( iProver_Flat_'zero$'(X0_28) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_28=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK0 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_16,X0_92] : 7.35/1.79 ( iProver_Flat_sK0(X0_16,X0_92) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK1 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_16,X0_92] : 7.35/1.79 ( iProver_Flat_sK1(X0_16,X0_92) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK2 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_16,X0_92] : 7.35/1.79 ( iProver_Flat_sK2(X0_16,X0_92) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK3 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_54,X0_23,X1_23] : 7.35/1.79 ( iProver_Flat_sK3(X0_54,X0_23,X1_23) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK4 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_54,X0_23,X1_23] : 7.35/1.79 ( iProver_Flat_sK4(X0_54,X0_23,X1_23) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK5 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_164,X0_78] : 7.35/1.79 ( iProver_Flat_sK5(X0_164,X0_78) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK6 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_164,X0_78] : 7.35/1.79 ( iProver_Flat_sK6(X0_164,X0_78) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK7 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_54,X0_39] : 7.35/1.79 ( iProver_Flat_sK7(X0_54,X0_39) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK8 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_16,X0_39] : 7.35/1.79 ( iProver_Flat_sK8(X0_16,X0_39) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK9 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_16,X0_92,X1_92] : 7.35/1.79 ( iProver_Flat_sK9(X0_16,X0_92,X1_92) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK10 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_16,X0_92,X1_92] : 7.35/1.79 ( iProver_Flat_sK10(X0_16,X0_92,X1_92) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK11 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_16,X0_92,X0_138] : 7.35/1.79 ( iProver_Flat_sK11(X0_16,X0_92,X0_138) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK12 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_164,X0_92,X0_138] : 7.35/1.79 ( iProver_Flat_sK12(X0_164,X0_92,X0_138) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK13 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_54,X0_23,X0_138] : 7.35/1.79 ( iProver_Flat_sK13(X0_54,X0_23,X0_138) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK14 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_164,X0_23,X0_138] : 7.35/1.79 ( iProver_Flat_sK14(X0_164,X0_23,X0_138) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK15 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_54,X0_23,X0_92] : 7.35/1.79 ( iProver_Flat_sK15(X0_54,X0_23,X0_92) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK16 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_16,X0_23,X0_92] : 7.35/1.79 ( iProver_Flat_sK16(X0_16,X0_23,X0_92) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK17 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_54,X0_23,X0_92] : 7.35/1.79 ( iProver_Flat_sK17(X0_54,X0_23,X0_92) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK18 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_16,X0_23,X0_92] : 7.35/1.79 ( iProver_Flat_sK18(X0_16,X0_23,X0_92) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK19 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_54,X0_23,X0_92] : 7.35/1.79 ( iProver_Flat_sK19(X0_54,X0_23,X0_92) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK20 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_16,X0_23,X0_92] : 7.35/1.79 ( iProver_Flat_sK20(X0_16,X0_23,X0_92) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK21 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_16,X0_92,X1_92] : 7.35/1.79 ( iProver_Flat_sK21(X0_16,X0_92,X1_92) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK22 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_16,X0_92,X1_92] : 7.35/1.79 ( iProver_Flat_sK22(X0_16,X0_92,X1_92) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK23 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_76,X0_90,X1_90] : 7.35/1.79 ( iProver_Flat_sK23(X0_76,X0_90,X1_90) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_76=iProver_Domain_'Complex'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK24 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_76,X0_90,X1_90] : 7.35/1.79 ( iProver_Flat_sK24(X0_76,X0_90,X1_90) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_76=iProver_Domain_'Complex'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK25 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_54,X0_174,X0_23,X1_23] : 7.35/1.79 ( iProver_Flat_sK25(X0_54,X0_174,X0_23,X1_23) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK26 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_54,X0_23,X0_138] : 7.35/1.79 ( iProver_Flat_sK26(X0_54,X0_23,X0_138) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK27 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_164,X0_23,X0_138] : 7.35/1.79 ( iProver_Flat_sK27(X0_164,X0_23,X0_138) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK28 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_16,X0_92,X0_138] : 7.35/1.79 ( iProver_Flat_sK28(X0_16,X0_92,X0_138) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK29 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_164,X0_92,X0_138] : 7.35/1.79 ( iProver_Flat_sK29(X0_164,X0_92,X0_138) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK30 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_76,X0_168] : 7.35/1.79 ( iProver_Flat_sK30(X0_76,X0_168) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_76=iProver_Domain_'Complex'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK31 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_76,X0_168] : 7.35/1.79 ( iProver_Flat_sK31(X0_76,X0_168) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_76=iProver_Domain_'Complex'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK32 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_164,X0_138,X1_138] : 7.35/1.79 ( iProver_Flat_sK32(X0_164,X0_138,X1_138) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK33 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_164,X0_138,X1_138] : 7.35/1.79 ( iProver_Flat_sK33(X0_164,X0_138,X1_138) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK34 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_16,X0_92,X0_23] : 7.35/1.79 ( iProver_Flat_sK34(X0_16,X0_92,X0_23) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK35 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_54,X0_92,X0_23] : 7.35/1.79 ( iProver_Flat_sK35(X0_54,X0_92,X0_23) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK36 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_16,X0_92,X0_23] : 7.35/1.79 ( iProver_Flat_sK36(X0_16,X0_92,X0_23) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK37 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_54,X0_92,X0_23] : 7.35/1.79 ( iProver_Flat_sK37(X0_54,X0_92,X0_23) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK38 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_13,X0_112] : 7.35/1.79 ( iProver_Flat_sK38(X0_13,X0_112) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_13=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK39 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_13,X0_112] : 7.35/1.79 ( iProver_Flat_sK39(X0_13,X0_112) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_13=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK40 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_16,X0_112,X0_13,X1_13] : 7.35/1.79 ( iProver_Flat_sK40(X0_16,X0_112,X0_13,X1_13) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK41 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_164,X0_171,X0_138,X1_138] : 7.35/1.79 ( iProver_Flat_sK41(X0_164,X0_171,X0_138,X1_138) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ). 7.35/1.79 7.35/1.79 %------ Positive definition of iProver_Flat_sK42 7.35/1.79 fof(lit_def,axiom, 7.35/1.79 (! [X0_138,X0_171] : 7.35/1.79 ( iProver_Flat_sK42(X0_138,X0_171) <=> 7.35/1.79 ( 7.35/1.79 ( 7.35/1.79 ( X0_138=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.79 ) 7.35/1.79 7.35/1.79 ) 7.35/1.79 ) 7.35/1.79 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK43 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_138,X0_171] : 7.35/1.80 ( iProver_Flat_sK43(X0_138,X0_171) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_138=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK44 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_16,X0_92,X0_138] : 7.35/1.80 ( iProver_Flat_sK44(X0_16,X0_92,X0_138) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK45 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_164,X0_92,X0_138] : 7.35/1.80 ( iProver_Flat_sK45(X0_164,X0_92,X0_138) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK46 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_54,X0_155] : 7.35/1.80 ( iProver_Flat_sK46(X0_54,X0_155) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK47 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_54,X0_155] : 7.35/1.80 ( iProver_Flat_sK47(X0_54,X0_155) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK48 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_164,X0_138,X0_23] : 7.35/1.80 ( iProver_Flat_sK48(X0_164,X0_138,X0_23) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK49 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_54,X0_138,X0_23] : 7.35/1.80 ( iProver_Flat_sK49(X0_54,X0_138,X0_23) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK50 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_54,X0_23,X0_138] : 7.35/1.80 ( iProver_Flat_sK50(X0_54,X0_23,X0_138) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK51 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_164,X0_23,X0_138] : 7.35/1.80 ( iProver_Flat_sK51(X0_164,X0_23,X0_138) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK52 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_92,X0_112] : 7.35/1.80 ( iProver_Flat_sK52(X0_92,X0_112) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_92=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK53 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_92,X0_112] : 7.35/1.80 ( iProver_Flat_sK53(X0_92,X0_112) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_92=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK54 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_16,X0_112,X0_92,X1_92] : 7.35/1.80 ( iProver_Flat_sK54(X0_16,X0_112,X0_92,X1_92) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK55 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_76,X0_90] : 7.35/1.80 ( iProver_Flat_sK55(X0_76,X0_90) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_76=iProver_Domain_'Complex'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK56 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_16,X0_92,X0_138] : 7.35/1.80 ( iProver_Flat_sK56(X0_16,X0_92,X0_138) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK57 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_164,X0_92,X0_138] : 7.35/1.80 ( iProver_Flat_sK57(X0_164,X0_92,X0_138) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK58 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_164,X0_138,X0_92] : 7.35/1.80 ( iProver_Flat_sK58(X0_164,X0_138,X0_92) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK59 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_16,X0_138,X0_92] : 7.35/1.80 ( iProver_Flat_sK59(X0_16,X0_138,X0_92) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK60 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_16,X0_92,X0_23] : 7.35/1.80 ( iProver_Flat_sK60(X0_16,X0_92,X0_23) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK61 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_54,X0_92,X0_23] : 7.35/1.80 ( iProver_Flat_sK61(X0_54,X0_92,X0_23) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK62 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_16,X0_112,X0_142,X1_142] : 7.35/1.80 ( iProver_Flat_sK62(X0_16,X0_112,X0_142,X1_142) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK63 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_142,X0_112] : 7.35/1.80 ( iProver_Flat_sK63(X0_142,X0_112) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_142=iProver_Domain_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK64 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_142,X0_112] : 7.35/1.80 ( iProver_Flat_sK64(X0_142,X0_112) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_142=iProver_Domain_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK65 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_54,X0_23,X1_23] : 7.35/1.80 ( iProver_Flat_sK65(X0_54,X0_23,X1_23) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK66 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_54,X0_23,X1_23] : 7.35/1.80 ( iProver_Flat_sK66(X0_54,X0_23,X1_23) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK67 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_16,X0_92,X0_23] : 7.35/1.80 ( iProver_Flat_sK67(X0_16,X0_92,X0_23) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK68 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_54,X0_92,X0_23] : 7.35/1.80 ( iProver_Flat_sK68(X0_54,X0_92,X0_23) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK69 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_164,X0_138] : 7.35/1.80 ( iProver_Flat_sK69(X0_164,X0_138) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK70 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_164,X0_138] : 7.35/1.80 ( iProver_Flat_sK70(X0_164,X0_138) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK71 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_164,X0_138] : 7.35/1.80 ( iProver_Flat_sK71(X0_164,X0_138) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK72 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_164,X0_138,X1_138] : 7.35/1.80 ( iProver_Flat_sK72(X0_164,X0_138,X1_138) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK73 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_164,X0_138,X1_138] : 7.35/1.80 ( iProver_Flat_sK73(X0_164,X0_138,X1_138) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK74 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_16,X0_92,X1_92] : 7.35/1.80 ( iProver_Flat_sK74(X0_16,X0_92,X1_92) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK75 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_16,X0_92,X1_92] : 7.35/1.80 ( iProver_Flat_sK75(X0_16,X0_92,X1_92) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK76 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_54,X0_23,X0_92] : 7.35/1.80 ( iProver_Flat_sK76(X0_54,X0_23,X0_92) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK77 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_16,X0_23,X0_92] : 7.35/1.80 ( iProver_Flat_sK77(X0_16,X0_23,X0_92) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK78 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_164,X0_138,X0_23] : 7.35/1.80 ( iProver_Flat_sK78(X0_164,X0_138,X0_23) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK79 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_54,X0_138,X0_23] : 7.35/1.80 ( iProver_Flat_sK79(X0_54,X0_138,X0_23) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK80 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_54,X0_23,X1_23] : 7.35/1.80 ( iProver_Flat_sK80(X0_54,X0_23,X1_23) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK81 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_54,X0_23,X1_23] : 7.35/1.80 ( iProver_Flat_sK81(X0_54,X0_23,X1_23) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK82 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_16,X0_92,X0_75] : 7.35/1.80 ( iProver_Flat_sK82(X0_16,X0_92,X0_75) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK83 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_28,X0_92,X0_75] : 7.35/1.80 ( iProver_Flat_sK83(X0_28,X0_92,X0_75) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_28=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK84 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_54,X0_87] : 7.35/1.80 ( iProver_Flat_sK84(X0_54,X0_87) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK85 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_164,X0_87] : 7.35/1.80 ( iProver_Flat_sK85(X0_164,X0_87) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK86 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_16,X0_92,X1_92] : 7.35/1.80 ( iProver_Flat_sK86(X0_16,X0_92,X1_92) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK87 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_16,X0_92,X1_92] : 7.35/1.80 ( iProver_Flat_sK87(X0_16,X0_92,X1_92) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK88 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_164,X0_138,X0_23] : 7.35/1.80 ( iProver_Flat_sK88(X0_164,X0_138,X0_23) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK89 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_54,X0_138,X0_23] : 7.35/1.80 ( iProver_Flat_sK89(X0_54,X0_138,X0_23) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK90 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_159,X0_112] : 7.35/1.80 ( iProver_Flat_sK90(X0_159,X0_112) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_159=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK91 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_159,X0_112] : 7.35/1.80 ( iProver_Flat_sK91(X0_159,X0_112) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_159=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK92 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_16,X0_112,X0_159,X1_159] : 7.35/1.80 ( iProver_Flat_sK92(X0_16,X0_112,X0_159,X1_159) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK93 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_16,X0_92,X1_92] : 7.35/1.80 ( iProver_Flat_sK93(X0_16,X0_92,X1_92) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK94 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_16,X0_92,X1_92] : 7.35/1.80 ( iProver_Flat_sK94(X0_16,X0_92,X1_92) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK95 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_54,X0_23,X1_23] : 7.35/1.80 ( iProver_Flat_sK95(X0_54,X0_23,X1_23) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK96 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_54,X0_23,X1_23] : 7.35/1.80 ( iProver_Flat_sK96(X0_54,X0_23,X1_23) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK97 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_16,X0_112,X0_92,X1_92] : 7.35/1.80 ( iProver_Flat_sK97(X0_16,X0_112,X0_92,X1_92) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK98 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_164,X0_138,X0_92] : 7.35/1.80 ( iProver_Flat_sK98(X0_164,X0_138,X0_92) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK99 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_16,X0_138,X0_92] : 7.35/1.80 ( iProver_Flat_sK99(X0_16,X0_138,X0_92) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK100 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_164,X0_138,X1_138] : 7.35/1.80 ( iProver_Flat_sK100(X0_164,X0_138,X1_138) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK101 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_164,X0_138,X1_138] : 7.35/1.80 ( iProver_Flat_sK101(X0_164,X0_138,X1_138) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK102 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_16,X0_162,X1_162] : 7.35/1.80 ( iProver_Flat_sK102(X0_16,X0_162,X1_162) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.80 & 7.35/1.80 ( X0_162!=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_1 | X1_162!=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_2 ) 7.35/1.80 & 7.35/1.80 ( X0_162!=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_2 | X1_162!=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 | 7.35/1.80 ( 7.35/1.80 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 & X0_162=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_1 & X1_162=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_2 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 | 7.35/1.80 ( 7.35/1.80 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 & X0_162=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_2 & X1_162=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK103 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_54,X0_162,X1_162] : 7.35/1.80 ( iProver_Flat_sK103(X0_54,X0_162,X1_162) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK104 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_54,X0_23,X0_92] : 7.35/1.80 ( iProver_Flat_sK104(X0_54,X0_23,X0_92) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK105 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_16,X0_23,X0_92] : 7.35/1.80 ( iProver_Flat_sK105(X0_16,X0_23,X0_92) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK106 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_54,X0_23,X0_75] : 7.35/1.80 ( iProver_Flat_sK106(X0_54,X0_23,X0_75) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK107 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_28,X0_23,X0_75] : 7.35/1.80 ( iProver_Flat_sK107(X0_28,X0_23,X0_75) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_28=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK108 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_16,X0_92,X0_23] : 7.35/1.80 ( iProver_Flat_sK108(X0_16,X0_92,X0_23) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK109 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_54,X0_92,X0_23] : 7.35/1.80 ( iProver_Flat_sK109(X0_54,X0_92,X0_23) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK110 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_76,X0_90] : 7.35/1.80 ( iProver_Flat_sK110(X0_76,X0_90) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_76=iProver_Domain_'Complex'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK111 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_54,X0_23,X0_75] : 7.35/1.80 ( iProver_Flat_sK111(X0_54,X0_23,X0_75) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK112 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_28,X0_23,X0_75] : 7.35/1.80 ( iProver_Flat_sK112(X0_28,X0_23,X0_75) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_28=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK113 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_54,X0_23] : 7.35/1.80 ( iProver_Flat_sK113(X0_54,X0_23) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK114 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_54,X0_23] : 7.35/1.80 ( iProver_Flat_sK114(X0_54,X0_23) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK115 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_54,X0_23] : 7.35/1.80 ( iProver_Flat_sK115(X0_54,X0_23) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK116 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_16,X0_129] : 7.35/1.80 ( iProver_Flat_sK116(X0_16,X0_129) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK117 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_164,X0_129] : 7.35/1.80 ( iProver_Flat_sK117(X0_164,X0_129) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK118 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_164,X0_171,X0_138,X1_138] : 7.35/1.80 ( iProver_Flat_sK118(X0_164,X0_171,X0_138,X1_138) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK119 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_164,X0_138,X1_138] : 7.35/1.80 ( iProver_Flat_sK119(X0_164,X0_138,X1_138) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK120 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_164,X0_138,X1_138] : 7.35/1.80 ( iProver_Flat_sK120(X0_164,X0_138,X1_138) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK121 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_16,X0_92,X0_138] : 7.35/1.80 ( iProver_Flat_sK121(X0_16,X0_92,X0_138) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK122 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_164,X0_92,X0_138] : 7.35/1.80 ( iProver_Flat_sK122(X0_164,X0_92,X0_138) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK123 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_54,X0_23,X0_138] : 7.35/1.80 ( iProver_Flat_sK123(X0_54,X0_23,X0_138) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK124 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_164,X0_23,X0_138] : 7.35/1.80 ( iProver_Flat_sK124(X0_164,X0_23,X0_138) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK125 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_76,X0_90] : 7.35/1.80 ( iProver_Flat_sK125(X0_76,X0_90) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_76=iProver_Domain_'Complex'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK126 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_16,X0_46] : 7.35/1.80 ( iProver_Flat_sK126(X0_16,X0_46) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK127 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_16,X0_46] : 7.35/1.80 ( iProver_Flat_sK127(X0_16,X0_46) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK128 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_164,X0_138,X0_92] : 7.35/1.80 ( iProver_Flat_sK128(X0_164,X0_138,X0_92) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK129 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_16,X0_138,X0_92] : 7.35/1.80 ( iProver_Flat_sK129(X0_16,X0_138,X0_92) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK130 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_164,X0_138,X0_23] : 7.35/1.80 ( iProver_Flat_sK130(X0_164,X0_138,X0_23) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK131 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_54,X0_138,X0_23] : 7.35/1.80 ( iProver_Flat_sK131(X0_54,X0_138,X0_23) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK132 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_23,X0_174] : 7.35/1.80 ( iProver_Flat_sK132(X0_23,X0_174) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_23=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK133 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_23,X0_174] : 7.35/1.80 ( iProver_Flat_sK133(X0_23,X0_174) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_23=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK134 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_54,X0_174,X0_23,X1_23] : 7.35/1.80 ( iProver_Flat_sK134(X0_54,X0_174,X0_23,X1_23) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK135 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_164,X0_138,X0_92] : 7.35/1.80 ( iProver_Flat_sK135(X0_164,X0_138,X0_92) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK136 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_16,X0_138,X0_92] : 7.35/1.80 ( iProver_Flat_sK136(X0_16,X0_138,X0_92) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK137 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_54,X0_153] : 7.35/1.80 ( iProver_Flat_sK137(X0_54,X0_153) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK138 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_164,X0_153] : 7.35/1.80 ( iProver_Flat_sK138(X0_164,X0_153) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK139 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_16,X0_141,X0_162] : 7.35/1.80 ( iProver_Flat_sK139(X0_16,X0_141,X0_162) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK140 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_54,X0_141,X0_162] : 7.35/1.80 ( iProver_Flat_sK140(X0_54,X0_141,X0_162) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK141 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_164,X0_138,X0_23] : 7.35/1.80 ( iProver_Flat_sK141(X0_164,X0_138,X0_23) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK142 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_54,X0_138,X0_23] : 7.35/1.80 ( iProver_Flat_sK142(X0_54,X0_138,X0_23) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK143 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_164,X0_138,X1_138] : 7.35/1.80 ( iProver_Flat_sK143(X0_164,X0_138,X1_138) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK144 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_164,X0_138,X1_138] : 7.35/1.80 ( iProver_Flat_sK144(X0_164,X0_138,X1_138) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK145 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_16,X0_92,X0_75] : 7.35/1.80 ( iProver_Flat_sK145(X0_16,X0_92,X0_75) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK146 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_28,X0_92,X0_75] : 7.35/1.80 ( iProver_Flat_sK146(X0_28,X0_92,X0_75) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_28=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK147 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_164,X0_138,X0_92] : 7.35/1.80 ( iProver_Flat_sK147(X0_164,X0_138,X0_92) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK148 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_16,X0_138,X0_92] : 7.35/1.80 ( iProver_Flat_sK148(X0_16,X0_138,X0_92) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK149 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_16,X0_98] : 7.35/1.80 ( iProver_Flat_sK149(X0_16,X0_98) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK150 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_54,X0_98] : 7.35/1.80 ( iProver_Flat_sK150(X0_54,X0_98) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK151 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_54,X0_23,X0_138] : 7.35/1.80 ( iProver_Flat_sK151(X0_54,X0_23,X0_138) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK152 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_164,X0_23,X0_138] : 7.35/1.80 ( iProver_Flat_sK152(X0_164,X0_23,X0_138) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK153 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_54,X0_23,X1_23] : 7.35/1.80 ( iProver_Flat_sK153(X0_54,X0_23,X1_23) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK154 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_54,X0_23,X1_23] : 7.35/1.80 ( iProver_Flat_sK154(X0_54,X0_23,X1_23) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_54=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK155 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_164,X0_84] : 7.35/1.80 ( iProver_Flat_sK155(X0_164,X0_84) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_164=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 7.35/1.80 %------ Positive definition of iProver_Flat_sK156 7.35/1.80 fof(lit_def,axiom, 7.35/1.80 (! [X0_16,X0_84] : 7.35/1.80 ( iProver_Flat_sK156(X0_16,X0_84) <=> 7.35/1.80 ( 7.35/1.80 ( 7.35/1.80 ( X0_16=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 7.35/1.80 ) 7.35/1.80 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ) 7.35/1.80 ). 7.35/1.80 % SZS output end Model for theBenchmark.p 7.35/1.80 7.35/1.80 EOF