%------------------------------------------------------------------------------ % File : iProver-SAT---3.9.4 % Problem : ITP391_1 : TPTP v9.3.1. Released v8.0.0. % Transfm : none % Format : tptp:raw % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p SAT % Computer : n014.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Fri Sep 25 01:51:16 PM UTC 2026 % Result : CounterSatisfiable 5.67s 1.70s % Output : Model 7.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : ITP391_1 : TPTP v9.3.1. Released v8.0.0. % 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p SAT % 0.10/0.36 % Computer : n014.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Wed Sep 23 18:31:35 UTC 2026 % 0.10/0.36 % CPUTime : % 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p SAT % 0.10/0.39 Running model finding % 0.10/0.39 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fnt_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.10/0.40 % 0.10/0.40 % ======== iProver multi-core TPTP/SMT ========= % 0.10/0.40 % 0.10/0.40 % Detected problem language: tptp % 0.10/0.42 % Proving... % 5.67/1.70 % SZS status Started for theBenchmark.p % 5.67/1.70 % SZS status Satisfiable for theBenchmark.p % 5.67/1.70 % 5.67/1.70 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------% % 5.67/1.70 % 5.67/1.70 ------ iProver source info % 5.67/1.70 % 5.67/1.70 git: date: 2026-07-19 20:42:38 +0200 % 5.67/1.70 git: sha1: 804e7d636a263075307957e923b7a22a4035de61 % 5.67/1.70 git: non_committed_changes: false % 5.67/1.70 % 5.67/1.70 ------ Parsing... % 5.67/1.70 ------ Clausification by vclausify_rel & Parsing by iProver... % 5.67/1.70 ------ Proving... % 5.67/1.70 ------ Problem Properties % 5.67/1.70 % 5.67/1.70 % 5.67/1.70 clauses 910 % 5.67/1.70 conjectures 1 % 5.67/1.70 EPR 99 % 5.67/1.70 Horn 822 % 5.67/1.70 unary 351 % 5.67/1.70 binary 343 % 5.67/1.70 lits 1785 % 5.67/1.70 lits eq 662 % 5.67/1.70 fd_pure 0 % 5.67/1.70 fd_pseudo 0 % 5.67/1.70 fd_cond 21 % 5.67/1.70 fd_pseudo_cond 31 % 5.67/1.70 AC symbols 0 % 5.67/1.70 % 5.67/1.70 ------ Input Options Time Limit: Unbounded % 5.67/1.70 % 5.67/1.70 % 5.67/1.70 ------ Finite Models: % 5.67/1.70 % 5.67/1.70 ------ lit_activity_flag true % 5.67/1.70 % 5.67/1.70 % 5.67/1.70 ------ Trying domains of size >= : 1 % 5.67/1.70 % 5.67/1.70 ------ Trying domains of size >= : 2 % 5.67/1.70 % 5.67/1.70 ------ Trying domains of size >= : 2 % 5.67/1.70 ------ % 5.67/1.70 Current options: % 5.67/1.70 ------ % 5.67/1.70 % 5.67/1.70 ------ Input Options % 5.67/1.70 % 5.67/1.70 --out_options all % 5.67/1.70 --tptp_safe_out true % 5.67/1.70 --problem_path "" % 5.67/1.70 --include_path "" % 5.67/1.70 --clausifier res/vclausify_rel % 5.67/1.70 --clausifier_options --mode tclausify -t 101.66 --show_fool true -updr off % 5.67/1.70 --stdin false % 5.67/1.70 --proof_out true % 5.67/1.70 --proof_dot_file "" % 5.67/1.70 --proof_reduce_dot [] % 5.67/1.70 --suppress_sat_res false % 5.67/1.70 --suppress_unsat_res true % 5.67/1.70 --stats_out none % 5.67/1.70 --stats_mem false % 5.67/1.70 --theory_stats_out false % 5.67/1.70 % 5.67/1.70 ------ General Options % 5.67/1.70 % 5.67/1.70 --fof false % 5.67/1.70 --time_out_real 304.99 % 5.67/1.70 --time_out_virtual -1. % 5.67/1.70 --rnd_seed 13 % 5.67/1.70 --symbol_type_check false % 5.67/1.70 --clausify_out false % 5.67/1.70 --sig_cnt_out false % 5.67/1.70 --trig_cnt_out false % 5.67/1.70 --trig_cnt_out_tolerance 1. % 5.67/1.70 --trig_cnt_out_sk_spl false % 5.67/1.70 --abstr_cl_out false % 5.67/1.70 % 5.67/1.70 ------ Interactive Mode % 5.67/1.70 % 5.67/1.70 --interactive_mode false % 5.67/1.70 --external_ip_address "" % 5.67/1.70 --external_port 0 % 5.67/1.70 % 5.67/1.70 ------ Global Options % 5.67/1.70 % 5.67/1.70 --schedule none % 5.67/1.70 --add_important_lit false % 5.67/1.70 --prop_solver_per_cl 500 % 5.67/1.70 --subs_bck_mult 8 % 5.67/1.70 --min_unsat_core false % 5.67/1.70 --soft_assumptions false % 5.67/1.70 --soft_lemma_size 3 % 5.67/1.70 --prop_impl_unit_size 0 % 5.67/1.70 --prop_impl_unit [] % 5.67/1.70 --share_sel_clauses true % 5.67/1.70 --reset_solvers false % 5.67/1.70 --bc_imp_inh [conj_cone] % 5.67/1.70 --conj_cone_tolerance 3. % 5.67/1.70 --extra_neg_conj none % 5.67/1.70 --large_theory_mode true % 5.67/1.70 --prolific_symb_bound 200 % 5.67/1.70 --lt_threshold 2000 % 5.67/1.70 --clause_weak_htbl true % 5.67/1.70 --gc_record_bc_elim false % 5.67/1.70 % 5.67/1.70 ------ Preprocessing Options % 5.67/1.70 % 5.67/1.70 --preprocessing_flag false % 5.67/1.70 --time_out_prep_mult 0.1 % 5.67/1.70 --splitting_mode input % 5.67/1.70 --splitting_grd true % 5.67/1.70 --splitting_cvd false % 5.67/1.70 --splitting_cvd_svl false % 5.67/1.70 --splitting_nvd 32 % 5.67/1.70 --sub_typing false % 5.67/1.70 --prep_eq_flat_conj false % 5.67/1.70 --prep_ineq_split false % 5.67/1.70 --prep_eq_flat_all_gr false % 5.67/1.70 --prep_gs_sim true % 5.67/1.70 --prep_unflatten true % 5.67/1.70 --prep_res_sim true % 5.67/1.70 --prep_sup_sim_all true % 5.67/1.70 --prep_sup_sim_sup false % 5.67/1.70 --prep_upred true % 5.67/1.70 --prep_well_definedness true % 5.67/1.70 --prep_sem_filter exhaustive % 5.67/1.70 --prep_sem_filter_out false % 5.67/1.70 --pred_elim true % 5.67/1.70 --res_sim_input true % 5.67/1.70 --eq_ax_congr_red true % 5.67/1.70 --pure_diseq_elim true % 5.67/1.70 --brand_transform false % 5.67/1.70 --non_eq_to_eq false % 5.67/1.70 --prep_eq_proxy false % 5.67/1.70 --prep_def_merge true % 5.67/1.70 --prep_def_merge_prop_impl false % 5.67/1.70 --prep_def_merge_mbd true % 5.67/1.70 --prep_def_merge_tr_red false % 5.67/1.70 --prep_def_merge_tr_cl false % 5.67/1.70 --smt_preprocessing false % 5.67/1.70 --smt_ac_axioms fast % 5.67/1.70 --preprocessed_out false % 5.67/1.70 --preprocessed_stats false % 5.67/1.70 % 5.67/1.70 ------ Abstraction refinement Options % 5.67/1.70 % 5.67/1.70 --abstr_ref [] % 5.67/1.70 --abstr_ref_prep false % 5.67/1.70 --abstr_ref_until_sat false % 5.67/1.70 --abstr_ref_sig_restrict funpre % 5.67/1.70 --abstr_ref_af_restrict_to_split_sk false % 5.67/1.70 --abstr_ref_under [] % 5.67/1.70 % 5.67/1.70 ------ SAT Options % 5.67/1.70 % 5.67/1.70 --sat_mode true % 5.67/1.70 --sat_fm_restart_options "" % 5.67/1.70 --sat_gr_def false % 5.67/1.70 --sat_epr_types true % 5.67/1.70 --sat_non_cyclic_types false % 5.67/1.70 --sat_finite_models true % 5.67/1.70 --sat_fm_lemmas false % 5.67/1.70 --sat_fm_prep false % 5.67/1.70 --sat_fm_uc_incr true % 5.67/1.70 --sat_out_model pos % 5.67/1.70 --sat_out_clauses false % 5.67/1.70 % 5.67/1.70 ------ QBF Options % 5.67/1.70 % 5.67/1.70 --qbf_mode false % 5.67/1.70 --qbf_elim_univ false % 5.67/1.70 --qbf_dom_inst none % 5.67/1.70 --qbf_dom_pre_inst false % 5.67/1.70 --qbf_sk_in false % 5.67/1.70 --qbf_pred_elim true % 5.67/1.70 --qbf_split 512 % 5.67/1.70 % 5.67/1.70 ------ BMC1 Options % 5.67/1.70 % 5.67/1.70 --bmc1_incremental false % 5.67/1.70 --bmc1_axioms reachable_all % 5.67/1.70 --bmc1_min_bound 0 % 5.67/1.70 --bmc1_max_bound -1 % 5.67/1.70 --bmc1_max_bound_default -1 % 5.67/1.70 --bmc1_symbol_reachability true % 5.67/1.70 --bmc1_property_lemmas false % 5.67/1.70 --bmc1_k_induction false % 5.67/1.70 --bmc1_non_equiv_states false % 5.67/1.70 --bmc1_deadlock false % 5.67/1.70 --bmc1_ucm false % 5.67/1.70 --bmc1_add_unsat_core none % 5.67/1.70 --bmc1_unsat_core_children false % 5.67/1.70 --bmc1_unsat_core_extrapolate_axioms false % 5.67/1.70 --bmc1_out_stat full % 5.67/1.70 --bmc1_ground_init false % 5.67/1.70 --bmc1_pre_inst_next_state false % 5.67/1.70 --bmc1_pre_inst_state false % 5.67/1.70 --bmc1_pre_inst_reach_state false % 5.67/1.70 --bmc1_out_unsat_core false % 5.67/1.70 --bmc1_aig_witness_out false % 5.67/1.70 --bmc1_verbose false % 5.67/1.70 --bmc1_dump_clauses_tptp false % 5.67/1.70 --bmc1_dump_unsat_core_tptp false % 5.67/1.70 --bmc1_dump_file - % 5.67/1.70 --bmc1_ucm_expand_uc_limit 128 % 5.67/1.70 --bmc1_ucm_n_expand_iterations 6 % 5.67/1.70 --bmc1_ucm_extend_mode 1 % 5.67/1.70 --bmc1_ucm_init_mode 2 % 5.67/1.70 --bmc1_ucm_cone_mode none % 5.67/1.70 --bmc1_ucm_reduced_relation_type 0 % 5.67/1.70 --bmc1_ucm_relax_model 4 % 5.67/1.70 --bmc1_ucm_full_tr_after_sat true % 5.67/1.70 --bmc1_ucm_expand_neg_assumptions false % 5.67/1.70 --bmc1_ucm_layered_model none % 5.67/1.70 --bmc1_ucm_max_lemma_size 10 % 5.67/1.70 % 5.67/1.70 ------ AIG Options % 5.67/1.70 % 5.67/1.70 --aig_mode false % 5.67/1.70 % 5.67/1.70 ------ Instantiation Options % 5.67/1.70 % 5.67/1.70 --instantiation_flag true % 5.67/1.70 --inst_sos_flag false % 5.67/1.70 --inst_sos_phase true % 5.67/1.70 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb] % 5.67/1.70 --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb] % 5.67/1.70 --inst_lit_sel_side num_symb % 5.67/1.70 --inst_solver_per_active 1400 % 5.67/1.70 --inst_solver_calls_frac 1. % 5.67/1.70 --inst_to_smt_solver true % 5.67/1.70 --inst_passive_queue_type priority_queues % 5.67/1.70 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]] % 5.67/1.70 --inst_passive_queues_freq [25;2] % 5.67/1.70 --inst_dismatching true % 5.67/1.70 --inst_eager_unprocessed_to_passive true % 5.67/1.70 --inst_unprocessed_bound 1000 % 5.67/1.70 --inst_prop_sim_given true % 5.67/1.70 --inst_prop_sim_new false % 5.67/1.70 --inst_subs_new false % 5.67/1.70 --inst_eq_res_simp false % 5.67/1.70 --inst_subs_given false % 5.67/1.70 --inst_orphan_elimination true % 5.67/1.70 --inst_learning_loop_flag true % 5.67/1.70 --inst_learning_start 3000 % 5.67/1.70 --inst_learning_factor 2 % 5.67/1.70 --inst_start_prop_sim_after_learn 3 % 5.67/1.70 --inst_sel_renew solver % 5.67/1.70 --inst_lit_activity_flag true % 5.67/1.70 --inst_restr_to_given false % 5.67/1.70 --inst_activity_threshold 500 % 5.67/1.70 % 5.67/1.70 ------ Resolution Options % 5.67/1.70 % 5.67/1.70 --resolution_flag false % 5.67/1.70 --res_lit_sel adaptive % 5.67/1.70 --res_lit_sel_side none % 5.67/1.70 --res_ordering kbo % 5.67/1.70 --res_to_prop_solver active % 5.67/1.70 --res_prop_simpl_new false % 5.67/1.70 --res_prop_simpl_given true % 5.67/1.70 --res_to_smt_solver true % 5.67/1.70 --res_passive_queue_type priority_queues % 5.67/1.70 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]] % 5.67/1.70 --res_passive_queues_freq [15;5] % 5.67/1.70 --res_forward_subs full % 7.51/1.70 --res_backward_subs full % 7.51/1.70 --res_forward_subs_resolution true % 7.51/1.70 --res_backward_subs_resolution true % 7.51/1.70 --res_orphan_elimination true % 7.51/1.70 --res_time_limit 300. % 7.51/1.70 % 7.51/1.70 ------ Superposition Options % 7.51/1.70 % 7.51/1.70 --superposition_flag false % 7.51/1.70 --sup_passive_queue_type priority_queues % 7.51/1.70 --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]] % 7.51/1.70 --sup_passive_queues_freq [8;1;4;4] % 7.51/1.70 --twee_lhs_weight 4 % 7.51/1.70 --sup_set_join false % 7.51/1.70 --sup_set_join_goals true % 7.51/1.70 --sup_set_join_limit 1000 % 7.51/1.70 --demod_completeness_check fast % 7.51/1.70 --demod_use_ground true % 7.51/1.70 --sup_unprocessed_bound 0 % 7.51/1.70 --sup_to_prop_solver passive % 7.51/1.70 --sup_prop_simpl_new true % 7.51/1.70 --sup_prop_simpl_given true % 7.51/1.70 --sup_fun_splitting false % 7.51/1.70 --sup_iter_deepening 2 % 7.51/1.70 --sup_restarts_mult 12 % 7.51/1.70 --sup_score sim_d_gen % 7.51/1.70 --sup_share_score_frac 0.2 % 7.51/1.70 --sup_share_max_num_cl 500 % 7.51/1.70 --sup_ordering kbo % 7.51/1.70 --sup_symb_ordering invfreq % 7.51/1.70 --sup_term_weight default % 7.51/1.70 % 7.51/1.70 ------ Superposition Simplification Setup % 7.51/1.70 % 7.51/1.70 --sup_indices_passive [LightNormIndex;FwDemodIndex] % 7.51/1.70 --sup_full_triv [SMTSimplify;PropSubs] % 7.51/1.70 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] % 7.51/1.70 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] % 7.51/1.70 --sup_immed_triv [] % 7.51/1.70 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes] % 7.51/1.70 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes] % 7.51/1.70 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod] % 7.51/1.70 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] % 7.51/1.70 --sup_input_triv [Unflattening;SMTSimplify] % 7.51/1.70 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] % 7.51/1.70 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] % 7.51/1.70 --sup_full_fixpoint true % 7.51/1.70 --sup_main_fixpoint true % 7.51/1.70 --sup_immed_fixpoint false % 7.51/1.70 --sup_input_fixpoint true % 7.51/1.70 --sup_cache_sim none % 7.51/1.70 --sup_smt_interval 500 % 7.51/1.70 --sup_bw_gjoin_interval 0 % 7.51/1.70 % 7.51/1.70 ------ Combination Options % 7.51/1.70 % 7.51/1.70 --comb_mode clause_based % 7.51/1.70 --comb_inst_mult 5 % 7.51/1.70 --comb_res_mult 1 % 7.51/1.70 --comb_sup_mult 8 % 7.51/1.70 --comb_sup_deep_mult 2 % 7.51/1.70 % 7.51/1.70 ------ Debug Options % 7.51/1.70 % 7.51/1.70 --dbg_backtrace false % 7.51/1.70 --dbg_dump_prop_clauses false % 7.51/1.70 --dbg_dump_prop_clauses_file - % 7.51/1.70 --dbg_out_stat false % 7.51/1.70 --dbg_just_parse false % 7.51/1.70 % 7.51/1.70 % 7.51/1.70 % 7.51/1.70 % 7.51/1.70 ------ Proving... % 7.51/1.70 % 7.51/1.70 ------ Trying domains of size >= : 2 % 7.51/1.70 % 7.51/1.70 ------ Trying domains of size >= : 2 % 7.51/1.70 % 7.51/1.70 ------ Trying domains of size >= : 2 % 7.51/1.70 % 7.51/1.70 % 7.51/1.70 ------ Proving... % 7.51/1.70 % 7.51/1.70 % 7.51/1.70 % SZS status Satisfiable for theBenchmark.p % 7.51/1.70 % 7.51/1.70 ------ Building Model...Done % 7.51/1.70 % 7.51/1.70 %------ The model is defined over ground terms (initial term algebra). % 7.51/1.70 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) % 7.51/1.70 %------ where \phi is a formula over the term algebra. % 7.51/1.70 %------ If we have equality in the problem then it is also defined as a predicate above, % 7.51/1.70 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type % 7.51/1.70 %------ See help for --sat_out_model for different model outputs. % 7.51/1.70 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "=" % 7.51/1.70 %------ where the first argument stands for the sort ($i in the unsorted case) % 7.51/1.70 % SZS output start Model for theBenchmark.p % 7.51/1.70 % 7.51/1.70 %------ Positive definition of equality_sorted % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_tType,X0_'Complex_complex_fun',X1_'Complex_complex_fun'] : % 7.51/1.70 ( equality_sorted(X0_tType,X0_'Complex_complex_fun',X1_'Complex_complex_fun') <=> % 7.51/1.70 ( % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='B_ell2_e_cblinfun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='D_c_prod_ell2_d_c_prod_ell2_cblinfun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='B_b_prod_ell2_b_b_prod_ell2_cblinfun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='Complex_complex_complex_cblinfun_fun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='C_a_prod_ell2_c_a_prod_ell2_cblinfun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun$' ) % 7.51/1.70 & % 7.51/1.70 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'!=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_1 | X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'!=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_2 ) % 7.51/1.70 & % 7.51/1.70 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'!=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_2 | X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'!=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_1 ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='C_ell2_c_ell2_cblinfun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='D_ell2_d_ell2_cblinfun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='C_d_prod_ell2_c_d_prod_ell2_cblinfun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='Complex$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='A_ell2_a_ell2_cblinfun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='C_b_prod_ell2_c_b_prod_ell2_cblinfun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='A_a_prod_ell2_a_a_prod_ell2_cblinfun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='Complex_complex_fun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='D_ell2_d_ell2_cblinfun_set$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='D_a_prod_ell2_d_a_prod_ell2_cblinfun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='B_a_prod_ell2_b_a_prod_ell2_cblinfun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='B_ell2_b_ell2_cblinfun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='D_d_prod_ell2_d_d_prod_ell2_cblinfun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='A_d_prod_ell2_a_d_prod_ell2_cblinfun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='D_b_prod_ell2_d_b_prod_ell2_cblinfun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='A_c_prod_ell2_a_c_prod_ell2_cblinfun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='B_d_prod_ell2_b_d_prod_ell2_cblinfun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='A_ell2_a_ell2_cblinfun_set$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='B_ell2_e_fun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='Complex_complex_fun_complex_complex_fun_fun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='A_b_prod_ell2_a_b_prod_ell2_cblinfun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='Complex_complex_cblinfun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='Complex_complex_complex_cblinfun_complex_cblinfun_cblinfun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='E$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='B_ell2_e_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='B_c_prod_ell2_b_c_prod_ell2_cblinfun$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 | % 7.51/1.70 ( % 7.51/1.70 ( X0_tType='C_ell2_c_ell2_cblinfun_set$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'compatible$q' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'compatible$q'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 7.51/1.70 $false % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'compatible$h' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'compatible$h'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'clinear$j' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'clinear$j'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'register$an' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'register$an'(X0_'A_ell2_a_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'member$a' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_set'] : % 7.51/1.70 ( 'member$a'(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_set') <=> % 7.51/1.70 $false % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'clinear$t' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'clinear$t'(X0_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'register$ad' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'register$ad'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'register$ar' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'register$ar'(X0_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'cbilinear$a' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.70 ( 'cbilinear$a'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'member$' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_set'] : % 7.51/1.70 ( 'member$'(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_set') <=> % 7.51/1.70 $false % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'clinear$p' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'clinear$p'(X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'clinear$' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'] : % 7.51/1.70 ( 'clinear$'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun') <=> % 7.51/1.70 ( % 7.51/1.70 ( % 7.51/1.70 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'!=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_1 ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'register$ac' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'register$ac'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'compatible$r' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'compatible$r'(X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun') <=> % 7.51/1.70 $false % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'iso_tuple_update_accessor_eq_assist$' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'Complex_complex_fun_complex_complex_fun_fun',X0_'Complex_complex_fun',X0_'Complex',X1_'Complex_complex_fun',X1_'Complex',X2_'Complex'] : % 7.51/1.70 ( 'iso_tuple_update_accessor_eq_assist$'(X0_'Complex_complex_fun_complex_complex_fun_fun',X0_'Complex_complex_fun',X0_'Complex',X1_'Complex_complex_fun',X1_'Complex',X2_'Complex') <=> % 7.51/1.70 ( % 7.51/1.70 ( % 7.51/1.70 ( X2_'Complex'=X0_'Complex' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'clinear$h' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'clinear$h'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'clinear$n' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'clinear$n'(X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'clinear$v' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'D_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'clinear$v'(X0_'D_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'clinear$o' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'clinear$o'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'register$s' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'register$s'(X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'compatible$j' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'compatible$j'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 7.51/1.70 $false % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'compatible$y' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'compatible$y'(X0_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'compatible$w' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'compatible$w'(X0_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'cbilinear$f' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.70 ( 'cbilinear$f'(X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'cbilinear$q' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun_fun'] : % 7.51/1.70 ( 'cbilinear$q'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun_fun') <=> % 7.51/1.70 ( % 7.51/1.70 ( % 7.51/1.70 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun_fun'='tensor_op$a' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'clinear$d' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'clinear$d'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'clinear$l' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'clinear$l'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'cbilinear$j' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.70 ( 'cbilinear$j'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.70 ( % 7.51/1.70 ( % 7.51/1.70 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'='cblinfun_compose$a' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'cbilinear$l' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun_fun'] : % 7.51/1.70 ( 'cbilinear$l'(X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun_fun') <=> % 7.51/1.70 ( % 7.51/1.70 ( % 7.51/1.70 ( X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun_fun'='cblinfun_compose$b' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'compatible$k' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'compatible$k'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 7.51/1.70 $false % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'register$a' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'register$a'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'register$aq' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'register$aq'(X0_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'register$ag' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'register$ag'(X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'cbilinear$e' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.70 ( 'cbilinear$e'(X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'clinear$c' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'clinear$c'(X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'register$ae' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'register$ae'(X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'compatible$c' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'compatible$c'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'fun_app$bg' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_bool_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 7.51/1.70 ( 'fun_app$bg'(X0_'A_ell2_a_ell2_cblinfun_bool_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 7.51/1.70 $false % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'clinear$s' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'clinear$s'(X0_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'iso_tuple_update_accessor_cong_assist$' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'Complex_complex_fun_complex_complex_fun_fun',X0_'Complex_complex_fun'] : % 7.51/1.70 ( 'iso_tuple_update_accessor_cong_assist$'(X0_'Complex_complex_fun_complex_complex_fun_fun',X0_'Complex_complex_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'separating$b' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_itself',X0_'A_ell2_a_ell2_cblinfun_set'] : % 7.51/1.70 ( 'separating$b'(X0_'A_itself',X0_'A_ell2_a_ell2_cblinfun_set') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'register$w' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'register$w'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'fun_app$bf' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'C_ell2_c_ell2_cblinfun_bool_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 7.51/1.70 ( 'fun_app$bf'(X0_'C_ell2_c_ell2_cblinfun_bool_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 7.51/1.70 $false % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'register$n' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'register$n'(X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 7.51/1.70 $false % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'compatible$i' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'compatible$i'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.70 $false % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'register$bc' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'register$bc'(X0_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'cbilinear$r' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun_fun'] : % 7.51/1.70 ( 'cbilinear$r'(X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun_fun') <=> % 7.51/1.70 ( % 7.51/1.70 ( % 7.51/1.70 ( X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun_fun'='tensor_op$b' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'register$be' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'register$be'(X0_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'register$c' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'register$c'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.70 $false % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'compatible$' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'compatible$'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'clinear$b' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'B_ell2_e_cblinfun_b_ell2_e_cblinfun_fun'] : % 7.51/1.70 ( 'clinear$b'(X0_'B_ell2_e_cblinfun_b_ell2_e_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'cbilinear$k' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'E_e_cblinfun_b_ell2_e_cblinfun_b_ell2_e_cblinfun_fun_fun'] : % 7.51/1.70 ( 'cbilinear$k'(X0_'E_e_cblinfun_b_ell2_e_cblinfun_b_ell2_e_cblinfun_fun_fun') <=> % 7.51/1.70 ( % 7.51/1.70 ( % 7.51/1.70 ( X0_'E_e_cblinfun_b_ell2_e_cblinfun_b_ell2_e_cblinfun_fun_fun'='cblinfun_compose$d' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'register$v' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'register$v'(X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'compatible$o' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'compatible$o'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 7.51/1.70 $false % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'register$j' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'register$j'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 7.51/1.70 $false % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'compatible$a' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'compatible$a'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'separating$d' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'B_itself',X0_'C_ell2_c_ell2_cblinfun_set'] : % 7.51/1.70 ( 'separating$d'(X0_'B_itself',X0_'C_ell2_c_ell2_cblinfun_set') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'compatible$ad' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'compatible$ad'(X0_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'register$aj' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'register$aj'(X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'compatible$f' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'compatible$f'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'separating$' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'D_itself',X0_'A_ell2_a_ell2_cblinfun_set'] : % 7.51/1.70 ( 'separating$'(X0_'D_itself',X0_'A_ell2_a_ell2_cblinfun_set') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'compatible$ab' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'compatible$ab'(X0_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'compatible$an' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'compatible$an'(X0_'A_ell2_a_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'cbilinear$h' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.70 ( 'cbilinear$h'(X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'compatible$m' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'compatible$m'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.70 $false % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'register$ak' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'register$ak'(X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'register$ba' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'register$ba'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 ( % 7.51/1.70 ( % 7.51/1.70 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'='swap$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'register$q' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'register$q'(X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'compatible$b' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'compatible$b'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'register$u' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'register$u'(X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'cbilinear$m' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun_fun'] : % 7.51/1.70 ( 'cbilinear$m'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun_fun') <=> % 7.51/1.70 ( % 7.51/1.70 ( % 7.51/1.70 ( X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun_fun'='cblinfun_compose$c' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'cbilinear$c' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.70 ( 'cbilinear$c'(X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'member$b' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set'] : % 7.51/1.70 ( 'member$b'(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set') <=> % 7.51/1.70 $false % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'register$o' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'register$o'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'cbilinear$u' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun'] : % 7.51/1.70 ( 'cbilinear$u'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun') <=> % 7.51/1.70 $false % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'compatible$z' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'compatible$z'(X0_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'compatible$ac' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'compatible$ac'(X0_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'clinear$u' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'clinear$u'(X0_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'separating$e' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'B_itself',X0_'D_ell2_d_ell2_cblinfun_set'] : % 7.51/1.70 ( 'separating$e'(X0_'B_itself',X0_'D_ell2_d_ell2_cblinfun_set') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'register$bh' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'C_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'register$bh'(X0_'C_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'register$t' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'register$t'(X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'cbilinear$p' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun_fun'] : % 7.51/1.70 ( 'cbilinear$p'(X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun_fun') <=> % 7.51/1.70 ( % 7.51/1.70 ( % 7.51/1.70 ( X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun_fun'='tensor_op$' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'compatible$aa' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'compatible$aa'(X0_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'compatible$ah' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'compatible$ah'(X0_'A_ell2_a_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'clinear$g' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'E_e_cblinfun_b_ell2_e_cblinfun_fun'] : % 7.51/1.70 ( 'clinear$g'(X0_'E_e_cblinfun_b_ell2_e_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'clinear$a' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'clinear$a'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'compatible$e' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'compatible$e'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'cbilinear$b' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.70 ( 'cbilinear$b'(X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'register$p' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'register$p'(X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'compatible$x' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'compatible$x'(X0_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'register$av' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'C_ell2_c_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'register$av'(X0_'C_ell2_c_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'compatible$g' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'compatible$g'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'register$bg' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'D_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'register$bg'(X0_'D_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'fun_app$aq' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun_bool_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'] : % 7.51/1.70 ( 'fun_app$aq'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun_bool_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun') <=> % 7.51/1.70 ( % 7.51/1.70 ( % 7.51/1.70 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'!=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_1 ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'cbilinear$i' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun'] : % 7.51/1.70 ( 'cbilinear$i'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'separating$c' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'B_itself',X0_'A_ell2_a_ell2_cblinfun_set'] : % 7.51/1.70 ( 'separating$c'(X0_'B_itself',X0_'A_ell2_a_ell2_cblinfun_set') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'clinear$f' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun'] : % 7.51/1.70 ( 'clinear$f'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'clinear$i' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'clinear$i'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'cbilinear$g' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.70 ( 'cbilinear$g'(X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'bounded_cbilinear$a' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'Complex_complex_complex_fun_fun'] : % 7.51/1.70 ( 'bounded_cbilinear$a'(X0_'Complex_complex_complex_fun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'register$r' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'register$r'(X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'compatible$p' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'compatible$p'(X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 7.51/1.70 $false % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'register$bd' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'register$bd'(X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'compatible$ak' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'compatible$ak'(X0_'A_ell2_a_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'compatible$n' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'compatible$n'(X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 7.51/1.70 $false % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'register$at' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'register$at'(X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'cbilinear$v' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'Complex_complex_complex_fun_fun'] : % 7.51/1.70 ( 'cbilinear$v'(X0_'Complex_complex_complex_fun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'separating$a' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'C_itself',X0_'A_ell2_a_ell2_cblinfun_set'] : % 7.51/1.70 ( 'separating$a'(X0_'C_itself',X0_'A_ell2_a_ell2_cblinfun_set') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'cbilinear$t' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun_fun'] : % 7.51/1.70 ( 'cbilinear$t'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun_fun') <=> % 7.51/1.70 ( % 7.51/1.70 ( % 7.51/1.70 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun_fun'='tensor_op$d' ) % 7.51/1.70 ) % 7.51/1.70 % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'register$as' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'register$as'(X0_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'register$k' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'register$k'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 7.51/1.70 $false % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'fun_app$be' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'D_ell2_d_ell2_cblinfun_bool_fun',X0_'D_ell2_d_ell2_cblinfun'] : % 7.51/1.70 ( 'fun_app$be'(X0_'D_ell2_d_ell2_cblinfun_bool_fun',X0_'D_ell2_d_ell2_cblinfun') <=> % 7.51/1.70 $false % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'clinear$k' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'Complex_complex_fun'] : % 7.51/1.70 ( 'clinear$k'(X0_'Complex_complex_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'compatible$aj' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'compatible$aj'(X0_'A_ell2_a_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'register$bb' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'register$bb'(X0_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'clinear$r' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'clinear$r'(X0_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'register$b' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.70 ( 'register$b'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'cbilinear$' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.70 ( 'cbilinear$'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.70 $true % 7.51/1.70 ) % 7.51/1.70 ) % 7.51/1.70 ). % 7.51/1.70 % 7.51/1.70 %------ Positive definition of 'compatible$al' % 7.51/1.70 fof(lit_def,axiom, % 7.51/1.70 (! [X0_'C_ell2_c_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'] : % 7.51/1.71 ( 'compatible$al'(X0_'C_ell2_c_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun') <=> % 7.51/1.71 $true % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of 'register$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.71 ( 'register$'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.71 $true % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of 'register$az' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'C_ell2_c_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun'] : % 7.51/1.71 ( 'register$az'(X0_'C_ell2_c_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun') <=> % 7.51/1.71 $true % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of 'cbilinear$d' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.71 ( 'cbilinear$d'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.71 $true % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of 'register$ai' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 7.51/1.71 ( 'register$ai'(X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 7.51/1.71 $true % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of 'register$bf' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'] : % 7.51/1.71 ( 'register$bf'(X0_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun') <=> % 7.51/1.71 $true % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of 'compatible$d' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.71 ( 'compatible$d'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.71 $true % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of 'cbilinear$o' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_ell2_e_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun'] : % 7.51/1.71 ( 'cbilinear$o'(X0_'B_ell2_e_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun') <=> % 7.51/1.71 $true % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of 'cbilinear$s' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun_fun'] : % 7.51/1.71 ( 'cbilinear$s'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun_fun'='tensor_op$c' ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of 'bounded_cbilinear$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_ell2_e_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun'] : % 7.51/1.71 ( 'bounded_cbilinear$'(X0_'B_ell2_e_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun') <=> % 7.51/1.71 $true % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of 'clinear$w' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'C_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'] : % 7.51/1.71 ( 'clinear$w'(X0_'C_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun') <=> % 7.51/1.71 $true % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of 'compatible$ae' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 7.51/1.71 ( 'compatible$ae'(X0_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 7.51/1.71 $true % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of 'cbilinear$n' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_fun'] : % 7.51/1.71 ( 'cbilinear$n'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_fun'='cblinfun_compose$e' ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of 'register$au' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_ell2_a_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun'] : % 7.51/1.71 ( 'register$au'(X0_'A_ell2_a_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun') <=> % 7.51/1.71 $true % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of 'clinear$e' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 7.51/1.71 ( 'clinear$e'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 7.51/1.71 $true % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of 'compatible$l' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.71 ( 'compatible$l'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.71 $false % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of 'clinear$q' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 7.51/1.71 ( 'clinear$q'(X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 7.51/1.71 $true % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of 'register$af' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 7.51/1.71 ( 'register$af'(X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 7.51/1.71 $true % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of 'register$ah' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 7.51/1.71 ( 'register$ah'(X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 7.51/1.71 $true % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'cblinfun_compose$h' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'E_e_cblinfun',X1_'E_e_cblinfun',X2_'E_e_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'cblinfun_compose$h'(X0_'E_e_cblinfun',X1_'E_e_cblinfun',X2_'E_e_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'E_e_cblinfun'=iProver_Domain_'E_e_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'plus$a' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_ell2_e_cblinfun',X1_'B_ell2_e_cblinfun',X2_'B_ell2_e_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'plus$a'(X0_'B_ell2_e_cblinfun',X1_'B_ell2_e_cblinfun',X2_'B_ell2_e_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'B_ell2_e_cblinfun'=iProver_Domain_'B_ell2_e_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'fun_app$cs' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'fun_app$cs'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'comp$m' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'comp$m'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'cblinfun_apply$c' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'cblinfun_apply$c'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'cblinfun_scaleC_right$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'Complex_complex_complex_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'cblinfun_scaleC_right$'(X0_'Complex_complex_complex_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'Complex_complex_complex_cblinfun_fun'=iProver_Domain_'Complex_complex_complex_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uxw$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X2_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'uxw$'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X2_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'fun_app$co' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'fun_app$co'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'register_tensor$c' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'register_tensor$c'(X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uxv$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun',X2_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'uxv$'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun',X2_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_2 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uxj$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'uxj$'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'comp$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'comp$'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'tensor_op$k' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'tensor_op$k'(X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun'=iProver_Domain_'C_d_prod_ell2_c_d_prod_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'fun_app$bt' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'fun_app$bt'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uxs$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'Complex'] : % 7.51/1.71 ( iProver_Flat_'uxs$'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'Complex') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'fun_app$b' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'fun_app$b'(X0_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'fun_app$ai' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'C_b_prod_ell2_c_b_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'fun_app$ai'(X0_'C_b_prod_ell2_c_b_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'C_b_prod_ell2_c_b_prod_ell2_cblinfun'=iProver_Domain_'C_b_prod_ell2_c_b_prod_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'fun_app$ae' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'fun_app$ae'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'fun_app$cq' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'fun_app$cq'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uxl$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'Complex_complex_fun'] : % 7.51/1.71 ( iProver_Flat_'uxl$'(X0_'Complex_complex_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'Complex_complex_fun'=iProver_Domain_'Complex_complex_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'zero$e' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'C_ell2_c_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'zero$e'(X0_'C_ell2_c_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'minus$d' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'minus$d'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uxo$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'Complex_complex_complex_fun_fun'] : % 7.51/1.71 ( iProver_Flat_'uxo$'(X0_'Complex_complex_complex_fun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'Complex_complex_complex_fun_fun'=iProver_Domain_'Complex_complex_complex_fun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'snd$a' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'snd$a'(X0_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uvs$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'uvs$'(X0_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uuz$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'D_ell2_d_ell2_cblinfun_bool_fun',X0_'D_ell2_d_ell2_cblinfun_set'] : % 7.51/1.71 ( iProver_Flat_'uuz$'(X0_'D_ell2_d_ell2_cblinfun_bool_fun',X0_'D_ell2_d_ell2_cblinfun_set') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'D_ell2_d_ell2_cblinfun_bool_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_bool_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'register_pair$f' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'register_pair$f'(X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'id_cblinfun$l' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'id_cblinfun$l'(X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun'=iProver_Domain_'D_a_prod_ell2_d_a_prod_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'register_tensor$j' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'register_tensor$j'(X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'=iProver_Domain_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'one_dim_iso$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'Complex_complex_fun'] : % 7.51/1.71 ( iProver_Flat_'one_dim_iso$'(X0_'Complex_complex_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'Complex_complex_fun'=iProver_Domain_'Complex_complex_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uws$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.71 ( iProver_Flat_'uws$'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'fun_app$cf' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'fun_app$cf'(X0_'D_ell2_d_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'fun_app$bx' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'fun_app$bx'(X0_'B_ell2_b_ell2_cblinfun',X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uuq$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'uuq$'(X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'register_pair$g' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'register_pair$g'(X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'fun_app$cd' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'fun_app$cd'(X0_'B_ell2_b_ell2_cblinfun',X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'fun_app$ag' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'D_b_prod_ell2_d_b_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'fun_app$ag'(X0_'D_b_prod_ell2_d_b_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'D_b_prod_ell2_d_b_prod_ell2_cblinfun'=iProver_Domain_'D_b_prod_ell2_d_b_prod_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'id_cblinfun$d' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'E_e_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'id_cblinfun$d'(X0_'E_e_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'E_e_cblinfun'=iProver_Domain_'E_e_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'fun_app$bn' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'fun_app$bn'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'fun_app$al' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'fun_app$al'(X0_'B_ell2_b_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'comp$r' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'comp$r'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'comp$z' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'comp$z'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uuf$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_ell2_e_cblinfun_b_ell2_e_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'uuf$'(X0_'B_ell2_e_cblinfun_b_ell2_e_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'B_ell2_e_cblinfun_b_ell2_e_cblinfun_fun'=iProver_Domain_'B_ell2_e_cblinfun_b_ell2_e_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'zero$f' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'D_ell2_d_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'zero$f'(X0_'D_ell2_d_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'fun_app$bz' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'fun_app$bz'(X0_'B_ell2_b_ell2_cblinfun',X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uuh$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_ell2_e_cblinfun_b_ell2_e_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'uuh$'(X0_'B_ell2_e_cblinfun_b_ell2_e_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'B_ell2_e_cblinfun_b_ell2_e_cblinfun_fun'=iProver_Domain_'B_ell2_e_cblinfun_b_ell2_e_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uxx$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X2_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'uxx$'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X2_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uup$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'uup$'(X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'fun_app$c' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'fun_app$c'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uub$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'E_e_cblinfun_b_ell2_e_cblinfun_fun',X0_'B_ell2_e_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'uub$'(X0_'E_e_cblinfun_b_ell2_e_cblinfun_fun',X0_'B_ell2_e_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'E_e_cblinfun_b_ell2_e_cblinfun_fun'=iProver_Domain_'E_e_cblinfun_b_ell2_e_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'swap$a' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'swap$a'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'cblinfun_mult_right$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'Complex_complex_complex_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'cblinfun_mult_right$'(X0_'Complex_complex_complex_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'Complex_complex_complex_cblinfun_fun'=iProver_Domain_'Complex_complex_complex_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'fun_app$y' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_d_prod_ell2_b_d_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'fun_app$y'(X0_'B_d_prod_ell2_b_d_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'B_d_prod_ell2_b_d_prod_ell2_cblinfun'=iProver_Domain_'B_d_prod_ell2_b_d_prod_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uvp$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_ell2_a_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'uvp$'(X0_'A_ell2_a_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_ell2_a_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'id_cblinfun$b' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'D_ell2_d_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'id_cblinfun$b'(X0_'D_ell2_d_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'cblinfun_compose$r' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun',X1_'C_d_prod_ell2_c_d_prod_ell2_cblinfun',X2_'C_d_prod_ell2_c_d_prod_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'cblinfun_compose$r'(X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun',X1_'C_d_prod_ell2_c_d_prod_ell2_cblinfun',X2_'C_d_prod_ell2_c_d_prod_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun'=iProver_Domain_'C_d_prod_ell2_c_d_prod_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'map_fun$c' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'Complex_complex_complex_cblinfun_complex_fun_fun_complex_complex_complex_cblinfun_complex_cblinfun_fun_fun',X0_'Complex_complex_fun',X0_'Complex_complex_cblinfun_complex_fun_complex_complex_cblinfun_complex_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'map_fun$c'(X0_'Complex_complex_complex_cblinfun_complex_fun_fun_complex_complex_complex_cblinfun_complex_cblinfun_fun_fun',X0_'Complex_complex_fun',X0_'Complex_complex_cblinfun_complex_fun_complex_complex_cblinfun_complex_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'Complex_complex_complex_cblinfun_complex_fun_fun_complex_complex_complex_cblinfun_complex_cblinfun_fun_fun'=iProver_Domain_'Complex_complex_complex_cblinfun_complex_fun_fun_complex_complex_complex_cblinfun_complex_cblinfun_fun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uvv$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'C_ell2_c_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'uvv$'(X0_'C_ell2_c_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'C_ell2_c_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'cblinfun_apply$b' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'cblinfun_apply$b'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_2 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'fst$a' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'fst$a'(X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'tensor_op$f' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_d_prod_ell2_b_d_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'tensor_op$f'(X0_'B_d_prod_ell2_b_d_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'B_d_prod_ell2_b_d_prod_ell2_cblinfun'=iProver_Domain_'B_d_prod_ell2_b_d_prod_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'fun_app$cb' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'fun_app$cb'(X0_'B_ell2_b_ell2_cblinfun',X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'collect$b' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_bool_fun'] : % 7.51/1.71 ( iProver_Flat_'collect$b'(X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_bool_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_ell2_a_ell2_cblinfun_set'=iProver_Domain_'A_ell2_a_ell2_cblinfun_set'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'cblinfun_compose$g' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'E_e_cblinfun',X0_'B_ell2_e_cblinfun',X0_'E_b_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'cblinfun_compose$g'(X0_'E_e_cblinfun',X0_'B_ell2_e_cblinfun',X0_'E_b_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'E_e_cblinfun'=iProver_Domain_'E_e_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'fun_app$da' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_ell2_e_fun',X0_'B_ell2_b_ell2_fun_b_ell2_e_fun_fun',X0_'B_ell2_b_ell2_fun'] : % 7.51/1.71 ( iProver_Flat_'fun_app$da'(X0_'B_ell2_e_fun',X0_'B_ell2_b_ell2_fun_b_ell2_e_fun_fun',X0_'B_ell2_b_ell2_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'B_ell2_e_fun'=iProver_Domain_'B_ell2_e_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'fun_app$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'fun_app$'(X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun'=iProver_Domain_'C_a_prod_ell2_c_a_prod_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'comp$aa' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_c_d_prod_ell2_c_d_prod_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'comp$aa'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_c_d_prod_ell2_c_d_prod_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uxa$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'uxa$'(X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uvf$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_ell2_a_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'uvf$'(X0_'A_ell2_a_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_ell2_a_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uminus$b' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'Complex_complex_fun'] : % 7.51/1.71 ( iProver_Flat_'uminus$b'(X0_'Complex_complex_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'Complex_complex_fun'=iProver_Domain_'Complex_complex_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'fun_app$ca' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'fun_app$ca'(X0_'B_ell2_b_ell2_cblinfun',X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'fun_app$bj' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'D_b_prod_ell2_d_b_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'fun_app$bj'(X0_'D_b_prod_ell2_d_b_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'D_b_prod_ell2_d_b_prod_ell2_cblinfun'=iProver_Domain_'D_b_prod_ell2_d_b_prod_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'tensor_lift$b' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.71 ( iProver_Flat_'tensor_lift$b'(X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'fun_app$cc' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'fun_app$cc'(X0_'B_ell2_b_ell2_cblinfun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'tensor_lift$e' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.71 ( iProver_Flat_'tensor_lift$e'(X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uwq$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.71 ( iProver_Flat_'uwq$'(X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'map_fun$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'Complex_complex_fun_complex_complex_fun_fun',X0_'Complex_complex_fun',X1_'Complex_complex_fun'] : % 7.51/1.71 ( iProver_Flat_'map_fun$'(X0_'Complex_complex_fun_complex_complex_fun_fun',X0_'Complex_complex_fun',X1_'Complex_complex_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'Complex_complex_fun_complex_complex_fun_fun'=iProver_Domain_'Complex_complex_fun_complex_complex_fun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'fun_app$af' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'fun_app$af'(X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'=iProver_Domain_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'adj$a' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'adj$a'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uvg$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'uvg$'(X0_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'comp$i' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'comp$i'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'fun_app$cj' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'fun_app$cj'(X0_'B_ell2_b_ell2_cblinfun',X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uxr$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'Complex'] : % 7.51/1.71 ( iProver_Flat_'uxr$'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'Complex') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uxg$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'uxg$'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'scaleC$c' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'Complex_complex_cblinfun',X0_'Complex',X1_'Complex_complex_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'scaleC$c'(X0_'Complex_complex_cblinfun',X0_'Complex',X1_'Complex_complex_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'Complex_complex_cblinfun'=iProver_Domain_'Complex_complex_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uuu$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'uuu$'(X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'comp$ae' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'Complex_complex_complex_cblinfun_complex_cblinfun_cblinfun',X0_'Complex_complex_complex_cblinfun_complex_cblinfun_fun_complex_complex_complex_cblinfun_complex_cblinfun_cblinfun_fun',X0_'Complex_complex_complex_cblinfun_complex_fun_fun_complex_complex_complex_cblinfun_complex_cblinfun_fun_fun',X0_'Complex_complex_complex_cblinfun_complex_fun_fun'] : % 7.51/1.71 ( iProver_Flat_'comp$ae'(X0_'Complex_complex_complex_cblinfun_complex_cblinfun_cblinfun',X0_'Complex_complex_complex_cblinfun_complex_cblinfun_fun_complex_complex_complex_cblinfun_complex_cblinfun_cblinfun_fun',X0_'Complex_complex_complex_cblinfun_complex_fun_fun_complex_complex_complex_cblinfun_complex_cblinfun_fun_fun',X0_'Complex_complex_complex_cblinfun_complex_fun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'Complex_complex_complex_cblinfun_complex_cblinfun_cblinfun'=iProver_Domain_'Complex_complex_complex_cblinfun_complex_cblinfun_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uwl$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'D_ell2_d_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'uwl$'(X0_'D_ell2_d_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'D_ell2_d_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'fun_app$w' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'fun_app$w'(X0_'A_ell2_a_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uwk$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'uwk$'(X0_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'tensor_lift$a' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.71 ( iProver_Flat_'tensor_lift$a'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'fun_app$db' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_ell2_b_ell2_fun_b_ell2_e_fun_fun',X0_'B_ell2_e_fun_b_ell2_b_ell2_fun_b_ell2_e_fun_fun_fun',X0_'B_ell2_e_fun'] : % 7.51/1.71 ( iProver_Flat_'fun_app$db'(X0_'B_ell2_b_ell2_fun_b_ell2_e_fun_fun',X0_'B_ell2_e_fun_b_ell2_b_ell2_fun_b_ell2_e_fun_fun_fun',X0_'B_ell2_e_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'B_ell2_b_ell2_fun_b_ell2_e_fun_fun'=iProver_Domain_'B_ell2_b_ell2_fun_b_ell2_e_fun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uminus$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_ell2_e_cblinfun',X1_'B_ell2_e_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'uminus$'(X0_'B_ell2_e_cblinfun',X1_'B_ell2_e_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'B_ell2_e_cblinfun'=iProver_Domain_'B_ell2_e_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'fun_app$s' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'fun_app$s'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uua$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'uua$'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'plus$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'Complex_complex_complex_fun_fun'] : % 7.51/1.71 ( iProver_Flat_'plus$'(X0_'Complex_complex_complex_fun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'Complex_complex_complex_fun_fun'=iProver_Domain_'Complex_complex_complex_fun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'fun_app$bs' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'fun_app$bs'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'register_pair$d' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'register_pair$d'(X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'zero$c' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'zero$c'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'minus$f' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'minus$f'(X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'fun_app$am' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'fun_app$am'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uyc$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'uyc$'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'fun_app$ad' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'fun_app$ad'(X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uxn$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'Complex_complex_complex_fun_fun'] : % 7.51/1.71 ( iProver_Flat_'uxn$'(X0_'Complex_complex_complex_fun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'Complex_complex_complex_fun_fun'=iProver_Domain_'Complex_complex_complex_fun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uvb$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_ell2_a_ell2_cblinfun_bool_fun',X0_'A_ell2_a_ell2_cblinfun_set'] : % 7.51/1.71 ( iProver_Flat_'uvb$'(X0_'A_ell2_a_ell2_cblinfun_bool_fun',X0_'A_ell2_a_ell2_cblinfun_set') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_ell2_a_ell2_cblinfun_bool_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_bool_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'comp$p' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'comp$p'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'register_tensor$b' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'register_tensor$b'(X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'times$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'Complex_complex_complex_fun_fun'] : % 7.51/1.71 ( iProver_Flat_'times$'(X0_'Complex_complex_complex_fun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'Complex_complex_complex_fun_fun'=iProver_Domain_'Complex_complex_complex_fun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'z$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_ell2_e_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'z$'(X0_'B_ell2_e_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'B_ell2_e_cblinfun'=iProver_Domain_'B_ell2_e_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uxk$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'uxk$'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'id_cblinfun$m' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'C_b_prod_ell2_c_b_prod_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'id_cblinfun$m'(X0_'C_b_prod_ell2_c_b_prod_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'C_b_prod_ell2_c_b_prod_ell2_cblinfun'=iProver_Domain_'C_b_prod_ell2_c_b_prod_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'register_pair$o' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'register_pair$o'(X0_'D_ell2_d_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'f$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'f$'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'butterfly$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_ell2_e_cblinfun',X0_'E',X0_'B_ell2'] : % 7.51/1.71 ( iProver_Flat_'butterfly$'(X0_'B_ell2_e_cblinfun',X0_'E',X0_'B_ell2') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'B_ell2_e_cblinfun'=iProver_Domain_'B_ell2_e_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'cblinfun_compose$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_ell2_e_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun'] : % 7.51/1.71 ( iProver_Flat_'cblinfun_compose$'(X0_'B_ell2_e_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'B_ell2_e_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun'=iProver_Domain_'B_ell2_e_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uwp$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X1_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.71 ( iProver_Flat_'uwp$'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X1_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'one$a' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'Complex_complex_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'one$a'(X0_'Complex_complex_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'Complex_complex_cblinfun'=iProver_Domain_'Complex_complex_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'register_pair$j' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'register_pair$j'(X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'tensor_op$n' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'tensor_op$n'(X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun'=iProver_Domain_'D_c_prod_ell2_d_c_prod_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'cblinfun_compose$i' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X1_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X2_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'cblinfun_compose$i'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X1_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X2_'B_b_prod_ell2_b_b_prod_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uux$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 7.51/1.71 ( iProver_Flat_'uux$'(X0_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uwh$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'B_ell2_b_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'uwh$'(X0_'B_ell2_b_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'B_ell2_b_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'comp$o' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'comp$o'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uwf$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'D_ell2_d_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'uwf$'(X0_'D_ell2_d_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'D_ell2_d_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'uvn$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'A_ell2_a_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'] : % 7.51/1.71 ( iProver_Flat_'uvn$'(X0_'A_ell2_a_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'A_ell2_a_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'fun_app$au' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'Complex_complex_fun',X0_'Complex_complex_complex_fun_fun',X0_'Complex'] : % 7.51/1.71 ( iProver_Flat_'fun_app$au'(X0_'Complex_complex_fun',X0_'Complex_complex_complex_fun_fun',X0_'Complex') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'Complex_complex_fun'=iProver_Domain_'Complex_complex_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'cinner$' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'Complex_complex_complex_fun_fun'] : % 7.51/1.71 ( iProver_Flat_'cinner$'(X0_'Complex_complex_complex_fun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'Complex_complex_complex_fun_fun'=iProver_Domain_'Complex_complex_complex_fun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'map_fun$d' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'Complex_complex_complex_cblinfun_fun',X0_'Complex_complex_fun',X0_'Complex_complex_fun_complex_complex_cblinfun_fun',X0_'Complex_complex_complex_fun_fun'] : % 7.51/1.71 ( iProver_Flat_'map_fun$d'(X0_'Complex_complex_complex_cblinfun_fun',X0_'Complex_complex_fun',X0_'Complex_complex_fun_complex_complex_cblinfun_fun',X0_'Complex_complex_complex_fun_fun') <=> % 7.51/1.71 ( % 7.51/1.71 ( % 7.51/1.71 ( X0_'Complex_complex_complex_cblinfun_fun'=iProver_Domain_'Complex_complex_complex_cblinfun_fun'_1 ) % 7.51/1.71 ) % 7.51/1.71 % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ) % 7.51/1.71 ). % 7.51/1.71 % 7.51/1.71 %------ Positive definition of iProver_Flat_'sandwich$e' % 7.51/1.71 fof(lit_def,axiom, % 7.51/1.71 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_b_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'sandwich$e'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_b_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uvl$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'C_ell2_c_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'uvl$'(X0_'C_ell2_c_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'C_ell2_c_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'tensor_lift$f' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.72 ( iProver_Flat_'tensor_lift$f'(X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$dd' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'Complex_complex_cblinfun',X0_'Complex_complex_complex_cblinfun_fun',X0_'Complex'] : % 7.51/1.72 ( iProver_Flat_'fun_app$dd'(X0_'Complex_complex_cblinfun',X0_'Complex_complex_complex_cblinfun_fun',X0_'Complex') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'Complex_complex_cblinfun'=iProver_Domain_'Complex_complex_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$t' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$t'(X0_'B_ell2_b_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$bh' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'D_b_prod_ell2_d_b_prod_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$bh'(X0_'D_b_prod_ell2_d_b_prod_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'D_b_prod_ell2_d_b_prod_ell2_cblinfun'=iProver_Domain_'D_b_prod_ell2_d_b_prod_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$ak' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'B_d_prod_ell2_b_d_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$ak'(X0_'B_d_prod_ell2_b_d_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'B_d_prod_ell2_b_d_prod_ell2_cblinfun'=iProver_Domain_'B_d_prod_ell2_b_d_prod_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uur$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'uur$'(X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uya$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'uya$'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_2 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$ax' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$ax'(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uve$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_ell2_a_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'uve$'(X0_'A_ell2_a_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_ell2_a_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uwt$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X1_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.72 ( iProver_Flat_'uwt$'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X1_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uuv$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'uuv$'(X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'scaleC$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'Complex_complex_complex_fun_fun'] : % 7.51/1.72 ( iProver_Flat_'scaleC$'(X0_'Complex_complex_complex_fun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'Complex_complex_complex_fun_fun'=iProver_Domain_'Complex_complex_complex_fun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$ah' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$ah'(X0_'D_ell2_d_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'register_tensor$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'register_tensor$'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uvj$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'uvj$'(X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'id_cblinfun$k' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'id_cblinfun$k'(X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun'=iProver_Domain_'D_c_prod_ell2_d_c_prod_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'scaleC$g' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'Complex'] : % 7.51/1.72 ( iProver_Flat_'scaleC$g'(X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'Complex') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$cn' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$cn'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uxi$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'uxi$'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'id_cblinfun$h' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'id_cblinfun$h'(X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'=iProver_Domain_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fst$b' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'fst$b'(X0_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'g$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'g$'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uminus$f' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'uminus$f'(X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'tensor_op$j' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'B_c_prod_ell2_b_c_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'tensor_op$j'(X0_'B_c_prod_ell2_b_c_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'B_c_prod_ell2_b_c_prod_ell2_cblinfun'=iProver_Domain_'B_c_prod_ell2_b_c_prod_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$bb' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'B_ell2_e_cblinfun',X0_'E_e_cblinfun_b_ell2_e_cblinfun_fun',X0_'E_e_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$bb'(X0_'B_ell2_e_cblinfun',X0_'E_e_cblinfun_b_ell2_e_cblinfun_fun',X0_'E_e_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'B_ell2_e_cblinfun'=iProver_Domain_'B_ell2_e_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'of_complex$a' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'Complex_complex_cblinfun',X0_'Complex'] : % 7.51/1.72 ( iProver_Flat_'of_complex$a'(X0_'Complex_complex_cblinfun',X0_'Complex') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'Complex_complex_cblinfun'=iProver_Domain_'Complex_complex_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'comp$h' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'comp$h'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'comp$y' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'comp$y'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'butterfly$a' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2',X1_'B_ell2'] : % 7.51/1.72 ( iProver_Flat_'butterfly$a'(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2',X1_'B_ell2') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'eps$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun_bool_fun'] : % 7.51/1.72 ( iProver_Flat_'eps$'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun_bool_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uxt$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'Complex_complex_complex_fun_fun',X0_'Complex_complex_fun'] : % 7.51/1.72 ( iProver_Flat_'uxt$'(X0_'Complex_complex_complex_fun_fun',X0_'Complex_complex_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'Complex_complex_complex_fun_fun'=iProver_Domain_'Complex_complex_complex_fun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$an' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$an'(X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'=iProver_Domain_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uwb$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'C_ell2_c_ell2_cblinfun_b_c_prod_ell2_b_c_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'uwb$'(X0_'C_ell2_c_ell2_cblinfun_b_c_prod_ell2_b_c_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'C_ell2_c_ell2_cblinfun_b_c_prod_ell2_b_c_prod_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_c_prod_ell2_b_c_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uminus$c' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'uminus$c'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'sandwich$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'A_ell2_d_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'sandwich$'(X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'A_ell2_d_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uye$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'Complex_complex_fun_complex_complex_fun_fun'] : % 7.51/1.72 ( iProver_Flat_'uye$'(X0_'Complex_complex_fun_complex_complex_fun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'Complex_complex_fun_complex_complex_fun_fun'=iProver_Domain_'Complex_complex_fun_complex_complex_fun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'register_pair$i' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'register_pair$i'(X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'id_cblinfun$e' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'id_cblinfun$e'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'cblinfun_apply$e' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'cblinfun_apply$e'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'tensor_lift$g' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.72 ( iProver_Flat_'tensor_lift$g'(X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'tensor_op$g' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'tensor_op$g'(X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun'=iProver_Domain_'A_b_prod_ell2_a_b_prod_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$bi' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'B_c_prod_ell2_b_c_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_c_prod_ell2_b_c_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$bi'(X0_'B_c_prod_ell2_b_c_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_c_prod_ell2_b_c_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'B_c_prod_ell2_b_c_prod_ell2_cblinfun'=iProver_Domain_'B_c_prod_ell2_b_c_prod_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'tensor_lift$i' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.72 ( iProver_Flat_'tensor_lift$i'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'tensor_op$l' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X1_'C_ell2_c_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'tensor_op$l'(X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X1_'C_ell2_c_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun'=iProver_Domain_'C_c_prod_ell2_c_c_prod_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uul$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'uul$'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$ar' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'B_ell2_e_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$ar'(X0_'B_ell2_e_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'B_ell2_e_cblinfun'=iProver_Domain_'B_ell2_e_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uww$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.72 ( iProver_Flat_'uww$'(X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$bm' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'D_ell2_d_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$bm'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'D_ell2_d_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'cblinfun_compose$m' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'D_b_prod_ell2_d_b_prod_ell2_cblinfun',X1_'D_b_prod_ell2_d_b_prod_ell2_cblinfun',X2_'D_b_prod_ell2_d_b_prod_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'cblinfun_compose$m'(X0_'D_b_prod_ell2_d_b_prod_ell2_cblinfun',X1_'D_b_prod_ell2_d_b_prod_ell2_cblinfun',X2_'D_b_prod_ell2_d_b_prod_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'D_b_prod_ell2_d_b_prod_ell2_cblinfun'=iProver_Domain_'D_b_prod_ell2_d_b_prod_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$bl' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'Complex_complex_fun',X0_'Complex_complex_fun_complex_complex_fun_fun',X1_'Complex_complex_fun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$bl'(X0_'Complex_complex_fun',X0_'Complex_complex_fun_complex_complex_fun_fun',X1_'Complex_complex_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'Complex_complex_fun'=iProver_Domain_'Complex_complex_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'register_pair$a' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'register_pair$a'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'cblinfun_apply$d' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'cblinfun_apply$d'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uwe$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_ell2_a_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'uwe$'(X0_'A_ell2_a_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_ell2_a_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'register_pair$c' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'register_pair$c'(X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'register_tensor$d' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'register_tensor$d'(X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'scaleC$d' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X0_'Complex',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'scaleC$d'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X0_'Complex',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'sandwich$c' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_b_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'sandwich$c'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_b_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uvu$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_ell2_a_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'uvu$'(X0_'A_ell2_a_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_ell2_a_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uvo$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_ell2_a_ell2_cblinfun_b_c_prod_ell2_b_c_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'uvo$'(X0_'A_ell2_a_ell2_cblinfun_b_c_prod_ell2_b_c_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_ell2_a_ell2_cblinfun_b_c_prod_ell2_b_c_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_c_prod_ell2_b_c_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'register_pair$q' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'register_pair$q'(X0_'D_ell2_d_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'comp$n' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'comp$n'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'sandwich$d' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_b_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'sandwich$d'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_b_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$k' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$k'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$a' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$a'(X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun'=iProver_Domain_'C_a_prod_ell2_c_a_prod_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$cu' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$cu'(X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun'=iProver_Domain_'C_a_prod_ell2_c_a_prod_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uxe$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'uxe$'(X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'cblinfun_compose$l' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun',X1_'B_a_prod_ell2_b_a_prod_ell2_cblinfun',X2_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'cblinfun_compose$l'(X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun',X1_'B_a_prod_ell2_b_a_prod_ell2_cblinfun',X2_'B_a_prod_ell2_b_a_prod_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'=iProver_Domain_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uvc$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'C_ell2_c_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'uvc$'(X0_'C_ell2_c_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'C_ell2_c_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'comp$d' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'comp$d'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'divide$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'Complex_complex_complex_fun_fun'] : % 7.51/1.72 ( iProver_Flat_'divide$'(X0_'Complex_complex_complex_fun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'Complex_complex_complex_fun_fun'=iProver_Domain_'Complex_complex_complex_fun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'swap$e' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun',X1_'A_a_prod_ell2_a_a_prod_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'swap$e'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun',X1_'A_a_prod_ell2_a_a_prod_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$bv' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'B_ell2_e_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$bv'(X0_'B_ell2_e_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'B_ell2_e_cblinfun'=iProver_Domain_'B_ell2_e_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uvr$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'uvr$'(X0_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$ab' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$ab'(X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'=iProver_Domain_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'swap$c' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X1_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'swap$c'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X1_'B_b_prod_ell2_b_b_prod_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uwx$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X1_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.72 ( iProver_Flat_'uwx$'(X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X1_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uxc$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'uxc$'(X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$as' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$as'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_e_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_e_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$ck' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$ck'(X0_'B_ell2_b_ell2_cblinfun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uwa$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'uwa$'(X0_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$d' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$d'(X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'register_tensor$m' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'register_tensor$m'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uxu$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'Complex_complex_complex_fun_fun'] : % 7.51/1.72 ( iProver_Flat_'uxu$'(X0_'Complex_complex_complex_fun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'Complex_complex_complex_fun_fun'=iProver_Domain_'Complex_complex_complex_fun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uvm$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'C_ell2_c_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'uvm$'(X0_'C_ell2_c_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'C_ell2_c_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$u' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$u'(X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'=iProver_Domain_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$v' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$v'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$bd' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$bd'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'comp$e' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'Complex_complex_fun_complex_complex_fun_fun',X0_'Complex_complex_fun'] : % 7.51/1.72 ( iProver_Flat_'comp$e'(X0_'Complex_complex_fun_complex_complex_fun_fun',X0_'Complex_complex_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'Complex_complex_fun_complex_complex_fun_fun'=iProver_Domain_'Complex_complex_fun_complex_complex_fun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$ac' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$ac'(X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun'=iProver_Domain_'A_b_prod_ell2_a_b_prod_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'register_tensor$i' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'register_tensor$i'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fst$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'fst$'(X0_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$de' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'Complex_complex_cblinfun',X0_'Complex_complex_fun_complex_complex_cblinfun_fun',X0_'Complex_complex_fun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$de'(X0_'Complex_complex_cblinfun',X0_'Complex_complex_fun_complex_complex_cblinfun_fun',X0_'Complex_complex_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'Complex_complex_cblinfun'=iProver_Domain_'Complex_complex_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'map_fun$a' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'B_ell2_e_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun',X0_'B_ell2_e_cblinfun_b_ell2_e_fun_fun',X0_'B_ell2_b_ell2_fun_b_ell2_e_fun_fun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun',X0_'B_ell2_e_fun_b_ell2_b_ell2_fun_b_ell2_e_fun_fun_fun'] : % 7.51/1.72 ( iProver_Flat_'map_fun$a'(X0_'B_ell2_e_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun',X0_'B_ell2_e_cblinfun_b_ell2_e_fun_fun',X0_'B_ell2_b_ell2_fun_b_ell2_e_fun_fun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun',X0_'B_ell2_e_fun_b_ell2_b_ell2_fun_b_ell2_e_fun_fun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'B_ell2_e_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun'=iProver_Domain_'B_ell2_e_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'register_tensor$l' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_d_prod_ell2_c_d_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'register_tensor$l'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_d_prod_ell2_c_d_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_d_prod_ell2_c_d_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_d_prod_ell2_c_d_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uuk$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'uuk$'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uxh$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'uxh$'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_2 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'minus$c' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X2_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'minus$c'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X2_'A_c_prod_ell2_a_c_prod_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$bw' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$bw'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_e_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_e_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'minus$e' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'minus$e'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$x' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$x'(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uwy$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'uwy$'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'zero$a' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'B_ell2_e_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'zero$a'(X0_'B_ell2_e_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'B_ell2_e_cblinfun'=iProver_Domain_'B_ell2_e_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'cadjoint$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'Complex_complex_fun_complex_complex_fun_fun'] : % 7.51/1.72 ( iProver_Flat_'cadjoint$'(X0_'Complex_complex_fun_complex_complex_fun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'Complex_complex_fun_complex_complex_fun_fun'=iProver_Domain_'Complex_complex_fun_complex_complex_fun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uvt$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'uvt$'(X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$br' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$br'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'plus$b' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'plus$b'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'swap$d' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun',X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'swap$d'(X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun',X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun'=iProver_Domain_'D_a_prod_ell2_d_a_prod_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$bo' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'D_ell2_d_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$bo'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'D_ell2_d_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'register_tensor$f' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'register_tensor$f'(X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$ay' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun_fun',X0_'D_ell2_d_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$ay'(X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun_fun',X0_'D_ell2_d_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'scaleC$a' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'B_ell2_e_cblinfun',X0_'Complex',X1_'B_ell2_e_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'scaleC$a'(X0_'B_ell2_e_cblinfun',X0_'Complex',X1_'B_ell2_e_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'B_ell2_e_cblinfun'=iProver_Domain_'B_ell2_e_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'comp$ab' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'comp$ab'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uyb$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'uyb$'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'comp$w' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'comp$w'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$h' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$h'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'id_cblinfun$g' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'B_c_prod_ell2_b_c_prod_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'id_cblinfun$g'(X0_'B_c_prod_ell2_b_c_prod_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'B_c_prod_ell2_b_c_prod_ell2_cblinfun'=iProver_Domain_'B_c_prod_ell2_b_c_prod_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uvh$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'uvh$'(X0_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'snd$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'C_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'snd$'(X0_'C_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'C_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$cm' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$cm'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$aa' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$aa'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uuc$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'uuc$'(X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'one$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'Complex'] : % 7.51/1.72 ( iProver_Flat_'one$'(X0_'Complex') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'Complex'=iProver_Domain_'Complex'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'map_fun$b' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'B_ell2_b_ell2_fun_b_ell2_e_fun_fun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_fun_fun',X0_'B_ell2_e_fun_b_ell2_e_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'map_fun$b'(X0_'B_ell2_b_ell2_fun_b_ell2_e_fun_fun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_fun_fun',X0_'B_ell2_e_fun_b_ell2_e_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'B_ell2_b_ell2_fun_b_ell2_e_fun_fun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun'=iProver_Domain_'B_ell2_b_ell2_fun_b_ell2_e_fun_fun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uwj$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'uwj$'(X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$q' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$q'(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'register_pair$k' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'register_pair$k'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'register_tensor$e' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'register_tensor$e'(X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uwr$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.72 ( iProver_Flat_'uwr$'(X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'id$a' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'Complex_complex_fun_complex_complex_fun_fun'] : % 7.51/1.72 ( iProver_Flat_'id$a'(X0_'Complex_complex_fun_complex_complex_fun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'Complex_complex_fun_complex_complex_fun_fun'=iProver_Domain_'Complex_complex_fun_complex_complex_fun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'swap$b' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun',X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'swap$b'(X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun',X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun'=iProver_Domain_'A_d_prod_ell2_a_d_prod_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'comp$s' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'comp$s'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uvx$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'uvx$'(X0_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'register_pair$h' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'register_pair$h'(X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'cblinfun_compose$j' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'B_d_prod_ell2_b_d_prod_ell2_cblinfun',X1_'B_d_prod_ell2_b_d_prod_ell2_cblinfun',X2_'B_d_prod_ell2_b_d_prod_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'cblinfun_compose$j'(X0_'B_d_prod_ell2_b_d_prod_ell2_cblinfun',X1_'B_d_prod_ell2_b_d_prod_ell2_cblinfun',X2_'B_d_prod_ell2_b_d_prod_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'B_d_prod_ell2_b_d_prod_ell2_cblinfun'=iProver_Domain_'B_d_prod_ell2_b_d_prod_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'comp$x' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_d_prod_ell2_c_d_prod_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'comp$x'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_d_prod_ell2_c_d_prod_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uum$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'uum$'(X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'register_pair$e' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'register_pair$e'(X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uvq$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.72 ( iProver_Flat_'uvq$'(X0_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'fun_app$i' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 7.51/1.72 ( iProver_Flat_'fun_app$i'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 7.51/1.72 ( % 7.51/1.72 ( % 7.51/1.72 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'_1 ) % 7.51/1.72 ) % 7.51/1.72 % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ) % 7.51/1.72 ). % 7.51/1.72 % 7.51/1.72 %------ Positive definition of iProver_Flat_'uun$' % 7.51/1.72 fof(lit_def,axiom, % 7.51/1.72 (! [X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'uun$'(X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uva$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'C_ell2_c_ell2_cblinfun_bool_fun',X0_'C_ell2_c_ell2_cblinfun_set'] : % 7.51/1.73 ( iProver_Flat_'uva$'(X0_'C_ell2_c_ell2_cblinfun_bool_fun',X0_'C_ell2_c_ell2_cblinfun_set') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'C_ell2_c_ell2_cblinfun_bool_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_bool_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'sandwich$a' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_c_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'sandwich$a'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_c_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'comp$ac' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_d_prod_ell2_c_d_prod_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'comp$ac'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_d_prod_ell2_c_d_prod_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'cblinfun_cinner_right$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'Complex_complex_complex_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'cblinfun_cinner_right$'(X0_'Complex_complex_complex_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'Complex_complex_complex_cblinfun_fun'=iProver_Domain_'Complex_complex_complex_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'scaleC$e' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'Complex'] : % 7.51/1.73 ( iProver_Flat_'scaleC$e'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'Complex') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'inverse$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'Complex_complex_fun'] : % 7.51/1.73 ( iProver_Flat_'inverse$'(X0_'Complex_complex_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'Complex_complex_fun'=iProver_Domain_'Complex_complex_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uwv$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.73 ( iProver_Flat_'uwv$'(X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'h$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'h$'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'register_tensor$a' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'register_tensor$a'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uui$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'uui$'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'id_cblinfun$j' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'id_cblinfun$j'(X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun'=iProver_Domain_'D_d_prod_ell2_d_d_prod_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'cinner$a' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'Complex',X0_'B_ell2',X1_'B_ell2'] : % 7.51/1.73 ( iProver_Flat_'cinner$a'(X0_'Complex',X0_'B_ell2',X1_'B_ell2') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'Complex'=iProver_Domain_'Complex'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'comp$ag' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'Complex_complex_complex_cblinfun_complex_cblinfun_fun',X0_'Complex_complex_cblinfun_complex_fun_complex_complex_cblinfun_complex_cblinfun_fun',X0_'Complex_complex_complex_cblinfun_complex_fun_fun'] : % 7.51/1.73 ( iProver_Flat_'comp$ag'(X0_'Complex_complex_complex_cblinfun_complex_cblinfun_fun',X0_'Complex_complex_cblinfun_complex_fun_complex_complex_cblinfun_complex_cblinfun_fun',X0_'Complex_complex_complex_cblinfun_complex_fun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'Complex_complex_complex_cblinfun_complex_cblinfun_fun'=iProver_Domain_'Complex_complex_complex_cblinfun_complex_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uug$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'uug$'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$p' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'fun_app$p'(X0_'B_ell2_b_ell2_cblinfun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'scaleC$b' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'Complex'] : % 7.51/1.73 ( iProver_Flat_'scaleC$b'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'Complex') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$cl' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'fun_app$cl'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uxq$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'Complex'] : % 7.51/1.73 ( iProver_Flat_'uxq$'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'Complex') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uue$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'uue$'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uwo$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'Complex_complex_complex_fun_fun',X1_'Complex_complex_complex_fun_fun'] : % 7.51/1.73 ( iProver_Flat_'uwo$'(X0_'Complex_complex_complex_fun_fun',X1_'Complex_complex_complex_fun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'Complex_complex_complex_fun_fun'=iProver_Domain_'Complex_complex_complex_fun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uxp$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'Complex'] : % 7.51/1.73 ( iProver_Flat_'uxp$'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'Complex') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_2 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'comp$c' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'comp$c'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uus$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'uus$'(X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$az' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'fun_app$az'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'cblinfun_compose$k' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'B_c_prod_ell2_b_c_prod_ell2_cblinfun',X1_'B_c_prod_ell2_b_c_prod_ell2_cblinfun',X2_'B_c_prod_ell2_b_c_prod_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'cblinfun_compose$k'(X0_'B_c_prod_ell2_b_c_prod_ell2_cblinfun',X1_'B_c_prod_ell2_b_c_prod_ell2_cblinfun',X2_'B_c_prod_ell2_b_c_prod_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'B_c_prod_ell2_b_c_prod_ell2_cblinfun'=iProver_Domain_'B_c_prod_ell2_b_c_prod_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uxb$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'uxb$'(X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'register_pair$b' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'register_pair$b'(X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$cy' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'E',X0_'B_ell2_e_fun',X0_'B_ell2'] : % 7.51/1.73 ( iProver_Flat_'fun_app$cy'(X0_'E',X0_'B_ell2_e_fun',X0_'B_ell2') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'E'=iProver_Domain_'E'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$bk' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'B_c_prod_ell2_b_c_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_c_prod_ell2_b_c_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'fun_app$bk'(X0_'B_c_prod_ell2_b_c_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_c_prod_ell2_b_c_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'B_c_prod_ell2_b_c_prod_ell2_cblinfun'=iProver_Domain_'B_c_prod_ell2_b_c_prod_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'collect$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'D_ell2_d_ell2_cblinfun_set',X0_'D_ell2_d_ell2_cblinfun_bool_fun'] : % 7.51/1.73 ( iProver_Flat_'collect$'(X0_'D_ell2_d_ell2_cblinfun_set',X0_'D_ell2_d_ell2_cblinfun_bool_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'D_ell2_d_ell2_cblinfun_set'=iProver_Domain_'D_ell2_d_ell2_cblinfun_set'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'register_pair$n' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'register_pair$n'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uvw$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'uvw$'(X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'cblinfun_mult_left$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'Complex_complex_complex_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'cblinfun_mult_left$'(X0_'Complex_complex_complex_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'Complex_complex_complex_cblinfun_fun'=iProver_Domain_'Complex_complex_complex_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'tensor_op$e' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'tensor_op$e'(X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'=iProver_Domain_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'bifunctional$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'Complex_complex_complex_cblinfun_complex_cblinfun_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'bifunctional$'(X0_'Complex_complex_complex_cblinfun_complex_cblinfun_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'Complex_complex_complex_cblinfun_complex_cblinfun_cblinfun'=iProver_Domain_'Complex_complex_complex_cblinfun_complex_cblinfun_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'sandwich$b' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'sandwich$b'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uuj$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'Complex_complex_fun'] : % 7.51/1.73 ( iProver_Flat_'uuj$'(X0_'Complex_complex_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'Complex_complex_fun'=iProver_Domain_'Complex_complex_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'adj$b' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'adj$b'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$cr' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'fun_app$cr'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$j' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'C_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'fun_app$j'(X0_'C_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'C_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'minus$b' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'Complex_complex_complex_fun_fun'] : % 7.51/1.73 ( iProver_Flat_'minus$b'(X0_'Complex_complex_complex_fun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'Complex_complex_complex_fun_fun'=iProver_Domain_'Complex_complex_complex_fun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'comp$f' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'comp$f'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'collect$a' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'C_ell2_c_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_bool_fun'] : % 7.51/1.73 ( iProver_Flat_'collect$a'(X0_'C_ell2_c_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_bool_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'C_ell2_c_ell2_cblinfun_set'=iProver_Domain_'C_ell2_c_ell2_cblinfun_set'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$o' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'B_ell2_e_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun',X0_'B_ell2_e_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'fun_app$o'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'B_ell2_e_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun',X0_'B_ell2_e_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'register_pair$l' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'register_pair$l'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'comp$l' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'comp$l'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'id_cblinfun$o' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'Complex_complex_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'id_cblinfun$o'(X0_'Complex_complex_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'Complex_complex_cblinfun'=iProver_Domain_'Complex_complex_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'zero$d' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_ell2_a_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'zero$d'(X0_'A_ell2_a_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'tensor_op$h' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'D_b_prod_ell2_d_b_prod_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'tensor_op$h'(X0_'D_b_prod_ell2_d_b_prod_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'D_b_prod_ell2_d_b_prod_ell2_cblinfun'=iProver_Domain_'D_b_prod_ell2_d_b_prod_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'tensor_op$i' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'C_b_prod_ell2_c_b_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'tensor_op$i'(X0_'C_b_prod_ell2_c_b_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'C_b_prod_ell2_c_b_prod_ell2_cblinfun'=iProver_Domain_'C_b_prod_ell2_c_b_prod_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uuy$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'uuy$'(X0_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$ct' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'fun_app$ct'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'comp$g' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'comp$g'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$ao' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'fun_app$ao'(X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun'=iProver_Domain_'A_b_prod_ell2_a_b_prod_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'register_pair$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'register_pair$'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uyd$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'uyd$'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$aw' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'Complex_complex_cblinfun_complex_fun',X0_'Complex_complex_complex_cblinfun_complex_fun_fun',X0_'Complex'] : % 7.51/1.73 ( iProver_Flat_'fun_app$aw'(X0_'Complex_complex_cblinfun_complex_fun',X0_'Complex_complex_complex_cblinfun_complex_fun_fun',X0_'Complex') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'Complex_complex_cblinfun_complex_fun'=iProver_Domain_'Complex_complex_cblinfun_complex_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uwm$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'C_ell2_c_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'uwm$'(X0_'C_ell2_c_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'C_ell2_c_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'id_cblinfun$i' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'D_b_prod_ell2_d_b_prod_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'id_cblinfun$i'(X0_'D_b_prod_ell2_d_b_prod_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'D_b_prod_ell2_d_b_prod_ell2_cblinfun'=iProver_Domain_'D_b_prod_ell2_d_b_prod_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uvz$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'uvz$'(X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$cp' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'fun_app$cp'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'cblinfun_apply$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'Complex_complex_fun',X0_'Complex_complex_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'cblinfun_apply$'(X0_'Complex_complex_fun',X0_'Complex_complex_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'Complex_complex_fun'=iProver_Domain_'Complex_complex_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uuw$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'uuw$'(X0_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$ch' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'fun_app$ch'(X0_'C_ell2_c_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uxy$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X2_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'uxy$'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X2_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'id_cblinfun$c' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'C_ell2_c_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'id_cblinfun$c'(X0_'C_ell2_c_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uwz$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'uwz$'(X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'comp$v' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'comp$v'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$f' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'fun_app$f'(X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun'=iProver_Domain_'A_d_prod_ell2_a_d_prod_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uwn$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun_bool_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun'] : % 7.51/1.73 ( iProver_Flat_'uwn$'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun_bool_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun_bool_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun_bool_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uud$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'uud$'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$bp' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'fun_app$bp'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'minus$a' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'minus$a'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'comp$t' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'comp$t'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uvk$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_ell2_a_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'uvk$'(X0_'A_ell2_a_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_ell2_a_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'comp$af' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'Complex_complex_complex_cblinfun_complex_cblinfun_fun',X1_'Complex_complex_complex_cblinfun_complex_cblinfun_fun',X0_'Complex_complex_fun'] : % 7.51/1.73 ( iProver_Flat_'comp$af'(X0_'Complex_complex_complex_cblinfun_complex_cblinfun_fun',X1_'Complex_complex_complex_cblinfun_complex_cblinfun_fun',X0_'Complex_complex_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'Complex_complex_complex_cblinfun_complex_cblinfun_fun'=iProver_Domain_'Complex_complex_complex_cblinfun_complex_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uxd$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'uxd$'(X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$l' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'fun_app$l'(X0_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$cg' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'fun_app$cg'(X0_'D_ell2_d_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$by' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'fun_app$by'(X0_'B_ell2_b_ell2_cblinfun',X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$bu' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'fun_app$bu'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uminus$d' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'uminus$d'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uu$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'uu$'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'id_cblinfun$a' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'B_ell2_b_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'id_cblinfun$a'(X0_'B_ell2_b_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$ci' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'fun_app$ci'(X0_'C_ell2_c_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uwc$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'D_ell2_d_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'uwc$'(X0_'D_ell2_d_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'D_ell2_d_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uvi$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'uvi$'(X0_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uwu$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.73 ( iProver_Flat_'uwu$'(X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uut$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'uut$'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'cblinfun_compose$q' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'C_b_prod_ell2_c_b_prod_ell2_cblinfun',X1_'C_b_prod_ell2_c_b_prod_ell2_cblinfun',X2_'C_b_prod_ell2_c_b_prod_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'cblinfun_compose$q'(X0_'C_b_prod_ell2_c_b_prod_ell2_cblinfun',X1_'C_b_prod_ell2_c_b_prod_ell2_cblinfun',X2_'C_b_prod_ell2_c_b_prod_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'C_b_prod_ell2_c_b_prod_ell2_cblinfun'=iProver_Domain_'C_b_prod_ell2_c_b_prod_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'comp$a' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'comp$a'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'scaleC$f' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'Complex'] : % 7.51/1.73 ( iProver_Flat_'scaleC$f'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'Complex') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'snd$b' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'D_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'snd$b'(X0_'D_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'D_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$bq' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'D_ell2_d_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'fun_app$bq'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'D_ell2_d_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uxz$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'Complex_complex_fun_complex_complex_fun_fun',X0_'Complex_complex_fun'] : % 7.51/1.73 ( iProver_Flat_'uxz$'(X0_'Complex_complex_fun_complex_complex_fun_fun',X0_'Complex_complex_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'Complex_complex_fun_complex_complex_fun_fun'=iProver_Domain_'Complex_complex_fun_complex_complex_fun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'register_pair$p' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'register_pair$p'(X0_'D_ell2_d_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$at' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'Complex',X0_'Complex_complex_fun',X1_'Complex'] : % 7.51/1.73 ( iProver_Flat_'fun_app$at'(X0_'Complex',X0_'Complex_complex_fun',X1_'Complex') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'Complex'=iProver_Domain_'Complex'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uuo$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'uuo$'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'comp$q' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'comp$q'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'cblinfun_compose$o' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun',X1_'D_c_prod_ell2_d_c_prod_ell2_cblinfun',X2_'D_c_prod_ell2_d_c_prod_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'cblinfun_compose$o'(X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun',X1_'D_c_prod_ell2_d_c_prod_ell2_cblinfun',X2_'D_c_prod_ell2_d_c_prod_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun'=iProver_Domain_'D_c_prod_ell2_d_c_prod_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$dc' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'Complex_complex_complex_cblinfun_complex_cblinfun_cblinfun',X0_'Complex_complex_complex_cblinfun_complex_cblinfun_fun_complex_complex_complex_cblinfun_complex_cblinfun_cblinfun_fun',X0_'Complex_complex_complex_cblinfun_complex_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'fun_app$dc'(X0_'Complex_complex_complex_cblinfun_complex_cblinfun_cblinfun',X0_'Complex_complex_complex_cblinfun_complex_cblinfun_fun_complex_complex_complex_cblinfun_complex_cblinfun_cblinfun_fun',X0_'Complex_complex_complex_cblinfun_complex_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'Complex_complex_complex_cblinfun_complex_cblinfun_cblinfun'=iProver_Domain_'Complex_complex_complex_cblinfun_complex_cblinfun_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uvy$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'uvy$'(X0_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'comp$j' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'comp$j'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$cx' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'B_ell2_b_ell2_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_fun_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'fun_app$cx'(X0_'B_ell2_b_ell2_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_fun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'B_ell2_b_ell2_fun'=iProver_Domain_'B_ell2_b_ell2_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'register_tensor$g' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'register_tensor$g'(X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'register_pair$m' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'register_pair$m'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'tensor_lift$c' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.73 ( iProver_Flat_'tensor_lift$c'(X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$r' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'fun_app$r'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'tensor_lift$d' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.73 ( iProver_Flat_'tensor_lift$d'(X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$ba' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'B_ell2_e_cblinfun',X0_'B_ell2_e_cblinfun_b_ell2_e_cblinfun_fun',X1_'B_ell2_e_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'fun_app$ba'(X0_'B_ell2_e_cblinfun',X0_'B_ell2_e_cblinfun_b_ell2_e_cblinfun_fun',X1_'B_ell2_e_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'B_ell2_e_cblinfun'=iProver_Domain_'B_ell2_e_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uwg$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'C_ell2_c_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'uwg$'(X0_'C_ell2_c_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'C_ell2_c_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$cv' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'fun_app$cv'(X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$ap' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'fun_app$ap'(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'minus$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'B_ell2_e_cblinfun',X1_'B_ell2_e_cblinfun',X2_'B_ell2_e_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'minus$'(X0_'B_ell2_e_cblinfun',X1_'B_ell2_e_cblinfun',X2_'B_ell2_e_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'B_ell2_e_cblinfun'=iProver_Domain_'B_ell2_e_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$cz' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'B_ell2_e_fun',X0_'B_ell2_e_cblinfun_b_ell2_e_fun_fun',X0_'B_ell2_e_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'fun_app$cz'(X0_'B_ell2_e_fun',X0_'B_ell2_e_cblinfun_b_ell2_e_fun_fun',X0_'B_ell2_e_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'B_ell2_e_fun'=iProver_Domain_'B_ell2_e_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'tensor_lift$h' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.73 ( iProver_Flat_'tensor_lift$h'(X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'id_cblinfun$f' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'B_d_prod_ell2_b_d_prod_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'id_cblinfun$f'(X0_'B_d_prod_ell2_b_d_prod_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'B_d_prod_ell2_b_d_prod_ell2_cblinfun'=iProver_Domain_'B_d_prod_ell2_b_d_prod_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$g' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'D_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'fun_app$g'(X0_'D_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'D_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'comp$b' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'comp$b'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'cblinfun_compose$f' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'E_b_ell2_cblinfun',X0_'B_ell2_e_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'cblinfun_compose$f'(X0_'B_ell2_b_ell2_cblinfun',X0_'E_b_ell2_cblinfun',X0_'B_ell2_e_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'cblinfun_compose$n' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun',X1_'D_d_prod_ell2_d_d_prod_ell2_cblinfun',X2_'D_d_prod_ell2_d_d_prod_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'cblinfun_compose$n'(X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun',X1_'D_d_prod_ell2_d_d_prod_ell2_cblinfun',X2_'D_d_prod_ell2_d_d_prod_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun'=iProver_Domain_'D_d_prod_ell2_d_d_prod_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'register_tensor$k' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'register_tensor$k'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$m' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'B_ell2_e_cblinfun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'fun_app$m'(X0_'B_ell2_e_cblinfun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'B_ell2_e_cblinfun'=iProver_Domain_'B_ell2_e_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'id_cblinfun$n' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'id_cblinfun$n'(X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun'=iProver_Domain_'C_d_prod_ell2_c_d_prod_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'zero$b' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'Complex'] : % 7.51/1.73 ( iProver_Flat_'zero$b'(X0_'Complex') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'Complex'=iProver_Domain_'Complex'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$ce' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'fun_app$ce'(X0_'B_ell2_b_ell2_cblinfun',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'id_cblinfun$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_ell2_a_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'id_cblinfun$'(X0_'A_ell2_a_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$bc' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'B_ell2_e_cblinfun_b_ell2_e_cblinfun_fun',X0_'E_e_cblinfun_b_ell2_e_cblinfun_b_ell2_e_cblinfun_fun_fun',X0_'E_e_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'fun_app$bc'(X0_'B_ell2_e_cblinfun_b_ell2_e_cblinfun_fun',X0_'E_e_cblinfun_b_ell2_e_cblinfun_b_ell2_e_cblinfun_fun_fun',X0_'E_e_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'B_ell2_e_cblinfun_b_ell2_e_cblinfun_fun'=iProver_Domain_'B_ell2_e_cblinfun_b_ell2_e_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uwd$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'D_ell2_d_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'uwd$'(X0_'D_ell2_d_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'D_ell2_d_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$e' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'fun_app$e'(X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun'=iProver_Domain_'A_d_prod_ell2_a_d_prod_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uminus$e' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'uminus$e'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'adj$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'adj$'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'comp$k' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'comp$k'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uwi$' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'uwi$'(X0_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'register_tensor$h' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'register_tensor$h'(X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$aj' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'fun_app$aj'(X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'uminus$a' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'uminus$a'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$cw' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'B_ell2',X0_'B_ell2_b_ell2_fun',X1_'B_ell2'] : % 7.51/1.73 ( iProver_Flat_'fun_app$cw'(X0_'B_ell2',X0_'B_ell2_b_ell2_fun',X1_'B_ell2') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'B_ell2'=iProver_Domain_'B_ell2'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'comp$u' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.73 ( iProver_Flat_'comp$u'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'cblinfun_compose$p' % 7.51/1.73 fof(lit_def,axiom, % 7.51/1.73 (! [X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun',X1_'D_a_prod_ell2_d_a_prod_ell2_cblinfun',X2_'D_a_prod_ell2_d_a_prod_ell2_cblinfun'] : % 7.51/1.73 ( iProver_Flat_'cblinfun_compose$p'(X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun',X1_'D_a_prod_ell2_d_a_prod_ell2_cblinfun',X2_'D_a_prod_ell2_d_a_prod_ell2_cblinfun') <=> % 7.51/1.73 ( % 7.51/1.73 ( % 7.51/1.73 ( X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun'=iProver_Domain_'D_a_prod_ell2_d_a_prod_ell2_cblinfun'_1 ) % 7.51/1.73 ) % 7.51/1.73 % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ) % 7.51/1.73 ). % 7.51/1.73 % 7.51/1.73 %------ Positive definition of iProver_Flat_'fun_app$z' % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : % 7.51/1.74 ( iProver_Flat_'fun_app$z'(X0_'B_ell2_b_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_'fun_app$av' % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'Complex',X0_'Complex_complex_cblinfun_complex_fun',X0_'Complex_complex_cblinfun'] : % 7.51/1.74 ( iProver_Flat_'fun_app$av'(X0_'Complex',X0_'Complex_complex_cblinfun_complex_fun',X0_'Complex_complex_cblinfun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'Complex'=iProver_Domain_'Complex'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_'uxf$' % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_'uxf$'(X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_'adj$c' % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_'adj$c'(X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_'cblinfun_scaleC_left$' % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'Complex_complex_complex_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_'cblinfun_scaleC_left$'(X0_'Complex_complex_complex_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'Complex_complex_complex_cblinfun_fun'=iProver_Domain_'Complex_complex_complex_cblinfun_fun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_'uvd$' % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_'uvd$'(X0_'A_ell2_a_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_'fun_app$n' % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'B_ell2_e_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : % 7.51/1.74 ( iProver_Flat_'fun_app$n'(X0_'B_ell2_e_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'B_ell2_e_cblinfun'=iProver_Domain_'B_ell2_e_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_'tensor_op$o' % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun',X1_'D_ell2_d_ell2_cblinfun'] : % 7.51/1.74 ( iProver_Flat_'tensor_op$o'(X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun',X1_'D_ell2_d_ell2_cblinfun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun'=iProver_Domain_'D_d_prod_ell2_d_d_prod_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_'zero$' % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'B_ell2_b_ell2_cblinfun'] : % 7.51/1.74 ( iProver_Flat_'zero$'(X0_'B_ell2_b_ell2_cblinfun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK0 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK0(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK1 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK1(X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK2 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK2(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK3 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK3(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK4 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK4(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK5 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK5(X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK6 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK6(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK7 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK7(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK8 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK8(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK9 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK9(X0_'A_ell2_a_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK10 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK10(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK11 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK11(X0_'C_ell2_c_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK12 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK12(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK13 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK13(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK14 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK14(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK15 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK15(X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK16 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK16(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK17 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK17(X0_'D_ell2_d_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK18 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK18(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK19 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK19(X0_'D_ell2_d_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK20 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK20(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK21 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK21(X0_'B_ell2_b_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK22 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK22(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK23 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK23(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK24 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK24(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK25 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK25(X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK26 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK26(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK27 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK27(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK28 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK28(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK29 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK29(X0_'A_ell2_a_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK30 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK30(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK31 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK31(X0_'C_ell2_c_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK32 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK32(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK33 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK33(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK34 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK34(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK35 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK35(X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK36 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK36(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK37 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK37(X0_'D_ell2_d_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK38 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK38(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK39 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK39(X0_'D_ell2_d_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK40 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK40(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK41 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK41(X0_'B_ell2_b_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK42 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK42(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK43 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK43(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK44 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK44(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK45 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK45(X0_'D_ell2_d_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK46 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK46(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK47 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK47(X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK48 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK48(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK49 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK49(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK50 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK50(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK51 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK51(X0_'D_ell2_d_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK52 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK52(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK53 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK53(X0_'A_ell2_a_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK54 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK54(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK55 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK55(X0_'C_ell2_c_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK56 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK56(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK57 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK57(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK58 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK58(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK59 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK59(X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK60 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK60(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK61 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK61(X0_'B_ell2_b_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK62 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set'] : % 7.51/1.74 ( iProver_Flat_sK62(X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK63 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set'] : % 7.51/1.74 ( iProver_Flat_sK63(X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK64 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK64(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK65 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set'] : % 7.51/1.74 ( iProver_Flat_sK65(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK66 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set'] : % 7.51/1.74 ( iProver_Flat_sK66(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK67 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK67(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK68 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set'] : % 7.51/1.74 ( iProver_Flat_sK68(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK69 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set'] : % 7.51/1.74 ( iProver_Flat_sK69(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK70 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK70(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK71 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set'] : % 7.51/1.74 ( iProver_Flat_sK71(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK72 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set'] : % 7.51/1.74 ( iProver_Flat_sK72(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK73 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK73(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK74 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_set'] : % 7.51/1.74 ( iProver_Flat_sK74(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_set') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK75 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_set'] : % 7.51/1.74 ( iProver_Flat_sK75(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_set') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK76 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK76(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK77 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_set'] : % 7.51/1.74 ( iProver_Flat_sK77(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_set') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK78 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_set'] : % 7.51/1.74 ( iProver_Flat_sK78(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_set') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK79 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_set',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK79(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_set',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK80 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK80(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK81 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK81(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK82 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK82(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK83 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK83(X0_'D_ell2_d_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK84 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK84(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK85 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK85(X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK86 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK86(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK87 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK87(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK88 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK88(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK89 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK89(X0_'D_ell2_d_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK90 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK90(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK91 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK91(X0_'A_ell2_a_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK92 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK92(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK93 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK93(X0_'C_ell2_c_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK94 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK94(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK95 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK95(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK96 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK96(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK97 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK97(X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK98 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK98(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK99 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK99(X0_'B_ell2_b_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK100 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK100(X0_'A_ell2_a_ell2_cblinfun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 & % 7.51/1.74 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'!=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_1 | X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'!=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_2 ) % 7.51/1.74 & % 7.51/1.74 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'!=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_2 | X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'!=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 | % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 & X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_1 & X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_2 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 | % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 & X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_2 & X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK101 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK101(X0_'C_ell2_c_ell2_cblinfun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK102 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK102(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK103 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK103(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK104 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK104(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK105 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK105(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK106 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK106(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK107 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK107(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK108 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK108(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK109 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK109(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK110 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.74 ( iProver_Flat_sK110(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK111 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'Complex',X0_'Complex_complex_fun'] : % 7.51/1.74 ( iProver_Flat_sK111(X0_'Complex',X0_'Complex_complex_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'Complex'=iProver_Domain_'Complex'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK112 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'Complex',X0_'Complex_complex_fun',X1_'Complex_complex_fun'] : % 7.51/1.74 ( iProver_Flat_sK112(X0_'Complex',X0_'Complex_complex_fun',X1_'Complex_complex_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'Complex'=iProver_Domain_'Complex'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK113 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'Complex',X0_'Complex_complex_fun',X1_'Complex_complex_fun'] : % 7.51/1.74 ( iProver_Flat_sK113(X0_'Complex',X0_'Complex_complex_fun',X1_'Complex_complex_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'Complex'=iProver_Domain_'Complex'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK114 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'Complex',X0_'Complex_complex_complex_fun_fun'] : % 7.51/1.74 ( iProver_Flat_sK114(X0_'Complex',X0_'Complex_complex_complex_fun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'Complex'=iProver_Domain_'Complex'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK115 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'Complex',X0_'Complex_complex_complex_fun_fun'] : % 7.51/1.74 ( iProver_Flat_sK115(X0_'Complex',X0_'Complex_complex_complex_fun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'Complex'=iProver_Domain_'Complex'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK116 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.74 ( iProver_Flat_sK116(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK117 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.74 ( iProver_Flat_sK117(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK118 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.74 ( iProver_Flat_sK118(X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK119 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.74 ( iProver_Flat_sK119(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK120 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.74 ( iProver_Flat_sK120(X0_'D_ell2_d_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK121 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.74 ( iProver_Flat_sK121(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK122 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.74 ( iProver_Flat_sK122(X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK123 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.74 ( iProver_Flat_sK123(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK124 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.74 ( iProver_Flat_sK124(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK125 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.74 ( iProver_Flat_sK125(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK126 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.74 ( iProver_Flat_sK126(X0_'D_ell2_d_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK127 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.74 ( iProver_Flat_sK127(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK128 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.74 ( iProver_Flat_sK128(X0_'A_ell2_a_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK129 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.74 ( iProver_Flat_sK129(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK130 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.74 ( iProver_Flat_sK130(X0_'C_ell2_c_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK131 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.74 ( iProver_Flat_sK131(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.74 ( % 7.51/1.74 ( % 7.51/1.74 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.74 ) % 7.51/1.74 % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ) % 7.51/1.74 ). % 7.51/1.74 % 7.51/1.74 %------ Positive definition of iProver_Flat_sK132 % 7.51/1.74 fof(lit_def,axiom, % 7.51/1.74 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.75 ( iProver_Flat_sK132(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.75 ( % 7.51/1.75 ( % 7.51/1.75 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.75 ) % 7.51/1.75 % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ). % 7.51/1.75 % 7.51/1.75 %------ Positive definition of iProver_Flat_sK133 % 7.51/1.75 fof(lit_def,axiom, % 7.51/1.75 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : % 7.51/1.75 ( iProver_Flat_sK133(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> % 7.51/1.75 ( % 7.51/1.75 ( % 7.51/1.75 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.75 ) % 7.51/1.75 % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ). % 7.51/1.75 % 7.51/1.75 %------ Positive definition of iProver_Flat_sK134 % 7.51/1.75 fof(lit_def,axiom, % 7.51/1.75 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.75 ( iProver_Flat_sK134(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.75 ( % 7.51/1.75 ( % 7.51/1.75 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.75 ) % 7.51/1.75 % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ). % 7.51/1.75 % 7.51/1.75 %------ Positive definition of iProver_Flat_sK135 % 7.51/1.75 fof(lit_def,axiom, % 7.51/1.75 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.75 ( iProver_Flat_sK135(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.75 ( % 7.51/1.75 ( % 7.51/1.75 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.75 ) % 7.51/1.75 % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ). % 7.51/1.75 % 7.51/1.75 %------ Positive definition of iProver_Flat_sK136 % 7.51/1.75 fof(lit_def,axiom, % 7.51/1.75 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.75 ( iProver_Flat_sK136(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.75 ( % 7.51/1.75 ( % 7.51/1.75 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.75 ) % 7.51/1.75 % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ). % 7.51/1.75 % 7.51/1.75 %------ Positive definition of iProver_Flat_sK137 % 7.51/1.75 fof(lit_def,axiom, % 7.51/1.75 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.75 ( iProver_Flat_sK137(X0_'D_ell2_d_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.75 ( % 7.51/1.75 ( % 7.51/1.75 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.75 ) % 7.51/1.75 % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ). % 7.51/1.75 % 7.51/1.75 %------ Positive definition of iProver_Flat_sK138 % 7.51/1.75 fof(lit_def,axiom, % 7.51/1.75 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.75 ( iProver_Flat_sK138(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.75 ( % 7.51/1.75 ( % 7.51/1.75 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.75 ) % 7.51/1.75 % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ). % 7.51/1.75 % 7.51/1.75 %------ Positive definition of iProver_Flat_sK139 % 7.51/1.75 fof(lit_def,axiom, % 7.51/1.75 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.75 ( iProver_Flat_sK139(X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.75 ( % 7.51/1.75 ( % 7.51/1.75 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.75 ) % 7.51/1.75 % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ). % 7.51/1.75 % 7.51/1.75 %------ Positive definition of iProver_Flat_sK140 % 7.51/1.75 fof(lit_def,axiom, % 7.51/1.75 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.75 ( iProver_Flat_sK140(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.75 ( % 7.51/1.75 ( % 7.51/1.75 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.75 ) % 7.51/1.75 % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ). % 7.51/1.75 % 7.51/1.75 %------ Positive definition of iProver_Flat_sK141 % 7.51/1.75 fof(lit_def,axiom, % 7.51/1.75 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.75 ( iProver_Flat_sK141(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.75 ( % 7.51/1.75 ( % 7.51/1.75 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.75 ) % 7.51/1.75 % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ). % 7.51/1.75 % 7.51/1.75 %------ Positive definition of iProver_Flat_sK142 % 7.51/1.75 fof(lit_def,axiom, % 7.51/1.75 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.75 ( iProver_Flat_sK142(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.75 ( % 7.51/1.75 ( % 7.51/1.75 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.75 ) % 7.51/1.75 % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ). % 7.51/1.75 % 7.51/1.75 %------ Positive definition of iProver_Flat_sK143 % 7.51/1.75 fof(lit_def,axiom, % 7.51/1.75 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.75 ( iProver_Flat_sK143(X0_'D_ell2_d_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.75 ( % 7.51/1.75 ( % 7.51/1.75 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.75 ) % 7.51/1.75 % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ). % 7.51/1.75 % 7.51/1.75 %------ Positive definition of iProver_Flat_sK144 % 7.51/1.75 fof(lit_def,axiom, % 7.51/1.75 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.75 ( iProver_Flat_sK144(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.75 ( % 7.51/1.75 ( % 7.51/1.75 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.75 ) % 7.51/1.75 % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ). % 7.51/1.75 % 7.51/1.75 %------ Positive definition of iProver_Flat_sK145 % 7.51/1.75 fof(lit_def,axiom, % 7.51/1.75 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.75 ( iProver_Flat_sK145(X0_'A_ell2_a_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.75 ( % 7.51/1.75 ( % 7.51/1.75 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.75 ) % 7.51/1.75 % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ). % 7.51/1.75 % 7.51/1.75 %------ Positive definition of iProver_Flat_sK146 % 7.51/1.75 fof(lit_def,axiom, % 7.51/1.75 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.75 ( iProver_Flat_sK146(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.75 ( % 7.51/1.75 ( % 7.51/1.75 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.75 ) % 7.51/1.75 % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ). % 7.51/1.75 % 7.51/1.75 %------ Positive definition of iProver_Flat_sK147 % 7.51/1.75 fof(lit_def,axiom, % 7.51/1.75 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.75 ( iProver_Flat_sK147(X0_'C_ell2_c_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.75 ( % 7.51/1.75 ( % 7.51/1.75 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.75 ) % 7.51/1.75 % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ). % 7.51/1.75 % 7.51/1.75 %------ Positive definition of iProver_Flat_sK148 % 7.51/1.75 fof(lit_def,axiom, % 7.51/1.75 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.75 ( iProver_Flat_sK148(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.75 ( % 7.51/1.75 ( % 7.51/1.75 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.75 ) % 7.51/1.75 % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ). % 7.51/1.75 % 7.51/1.75 %------ Positive definition of iProver_Flat_sK149 % 7.51/1.75 fof(lit_def,axiom, % 7.51/1.75 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.75 ( iProver_Flat_sK149(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.75 ( % 7.51/1.75 ( % 7.51/1.75 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.75 ) % 7.51/1.75 % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ). % 7.51/1.75 % 7.51/1.75 %------ Positive definition of iProver_Flat_sK150 % 7.51/1.75 fof(lit_def,axiom, % 7.51/1.75 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.75 ( iProver_Flat_sK150(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.75 ( % 7.51/1.75 ( % 7.51/1.75 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.75 ) % 7.51/1.75 % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ). % 7.51/1.75 % 7.51/1.75 %------ Positive definition of iProver_Flat_sK151 % 7.51/1.75 fof(lit_def,axiom, % 7.51/1.75 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.75 ( iProver_Flat_sK151(X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.75 ( % 7.51/1.75 ( % 7.51/1.75 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.75 ) % 7.51/1.75 % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ). % 7.51/1.75 % 7.51/1.75 %------ Positive definition of iProver_Flat_sK152 % 7.51/1.75 fof(lit_def,axiom, % 7.51/1.75 (! [X0_'Complex',X0_'Complex_complex_fun'] : % 7.51/1.75 ( iProver_Flat_sK152(X0_'Complex',X0_'Complex_complex_fun') <=> % 7.51/1.75 ( % 7.51/1.75 ( % 7.51/1.75 ( X0_'Complex'=iProver_Domain_'Complex'_1 ) % 7.51/1.75 ) % 7.51/1.75 % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ). % 7.51/1.75 % 7.51/1.75 %------ Positive definition of iProver_Flat_sK153 % 7.51/1.75 fof(lit_def,axiom, % 7.51/1.75 (! [X0_'Complex',X0_'Complex_complex_fun'] : % 7.51/1.75 ( iProver_Flat_sK153(X0_'Complex',X0_'Complex_complex_fun') <=> % 7.51/1.75 ( % 7.51/1.75 ( % 7.51/1.75 ( X0_'Complex'=iProver_Domain_'Complex'_1 ) % 7.51/1.75 ) % 7.51/1.75 % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ). % 7.51/1.75 % 7.51/1.75 %------ Positive definition of iProver_Flat_sK154 % 7.51/1.75 fof(lit_def,axiom, % 7.51/1.75 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.75 ( iProver_Flat_sK154(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.75 ( % 7.51/1.75 ( % 7.51/1.75 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) % 7.51/1.75 ) % 7.51/1.75 % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ). % 7.51/1.75 % 7.51/1.75 %------ Positive definition of iProver_Flat_sK155 % 7.51/1.75 fof(lit_def,axiom, % 7.51/1.75 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.75 ( iProver_Flat_sK155(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.75 ( % 7.51/1.75 ( % 7.51/1.75 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) % 7.51/1.75 ) % 7.51/1.75 % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ). % 7.51/1.75 % 7.51/1.75 %------ Positive definition of iProver_Flat_sK156 % 7.51/1.75 fof(lit_def,axiom, % 7.51/1.75 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_set',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : % 7.51/1.75 ( iProver_Flat_sK156(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_set',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> % 7.51/1.75 ( % 7.51/1.75 ( % 7.51/1.75 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) % 7.51/1.75 ) % 7.51/1.75 % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ) % 7.51/1.75 ). % 7.51/1.75 % SZS output end Model for theBenchmark.p % 7.51/1.75 %------------------------------------------------------------------------------