0.07/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.14 % Command : /export/starexec/sandbox2/solver/bin/run_iprover 120 /export/starexec/sandbox2/benchmark/theBenchmark.p SAT 0.14/0.36 % Computer : n012.cluster.edu 0.14/0.36 % Model : x86_64 x86_64 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.36 % Memory : 8042.1875MB 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 960 0.14/0.36 % WCLimit : 120 0.14/0.36 % DateTime : Wed Jul 30 07:40:34 EDT 2025 0.14/0.36 % CPUTime : 0.21/0.44 /export/starexec/sandbox2/solver/bin/SPCForProblem: Command not found. 0.21/0.44 Running model finding 0.21/0.44 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core-casc.sh -l tptp -s fnt_schedule -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.21/0.45 0.21/0.45 % ======== iProver multi-core TPTP/SMT ========= 0.21/0.45 0.21/0.45 % Detected problem language: tptp 0.21/0.45 % Checking... 0.39/1.09 % Proving... 3.75/1.80 % SZS status Started for theBenchmark.p 3.75/1.80 % SZS status Satisfiable for theBenchmark.p 3.75/1.80 3.75/1.80 %---------------- iProver v3.9.3 (pre CASC 2025/SMT-COMP 2025) ----------------% 3.75/1.80 3.75/1.80 ------ iProver source info 3.75/1.80 3.75/1.80 git: date: 2025-07-21 10:15:00 +0000 3.75/1.80 git: sha1: d7ebeb21b290b8724a1e08b4c4a533d26e8c009f 3.75/1.80 git: non_committed_changes: true 3.75/1.80 3.75/1.80 ------ Parsing... 3.75/1.80 ------ Clausification by vclausify_rel & Parsing by iProver... 3.75/1.80 ------ Proving... 3.75/1.80 ------ Problem Properties 3.75/1.80 3.75/1.80 3.75/1.80 clauses 910 3.75/1.80 conjectures 1 3.75/1.80 EPR 99 3.75/1.80 Horn 822 3.75/1.80 unary 351 3.75/1.80 binary 343 3.75/1.80 lits 1785 3.75/1.80 lits eq 662 3.75/1.80 fd_pure 0 3.75/1.80 fd_pseudo 0 3.75/1.80 fd_cond 21 3.75/1.80 fd_pseudo_cond 31 3.75/1.80 AC symbols 0 3.75/1.80 3.75/1.80 ------ Input Options Time Limit: Unbounded 3.75/1.80 3.75/1.80 3.75/1.80 ------ Finite Models: 3.75/1.80 3.75/1.80 ------ lit_activity_flag true 3.75/1.80 3.75/1.80 3.75/1.80 ------ Trying domains of size >= : 1 3.75/1.80 3.75/1.80 ------ Trying domains of size >= : 2 3.75/1.80 3.75/1.80 ------ Trying domains of size >= : 2 3.75/1.80 ------ 3.75/1.80 Current options: 3.75/1.80 ------ 3.75/1.80 3.75/1.80 ------ Input Options 3.75/1.80 3.75/1.80 --out_options all 3.75/1.80 --tptp_safe_out true 3.75/1.80 --problem_path "" 3.75/1.80 --include_path "" 3.75/1.80 --clausifier res/vclausify_rel 3.75/1.80 --clausifier_options --mode tclausify -t 41.66 --show_fool true -updr off 3.75/1.80 --stdin false 3.75/1.80 --proof_out true 3.75/1.80 --proof_dot_file "" 3.75/1.80 --proof_reduce_dot [] 3.75/1.80 --suppress_sat_res false 3.75/1.80 --suppress_unsat_res true 3.75/1.80 --stats_out none 3.75/1.80 --stats_mem false 3.75/1.80 --theory_stats_out false 3.75/1.80 3.75/1.80 ------ General Options 3.75/1.80 3.75/1.80 --fof false 3.75/1.80 --time_out_real 124.99 3.75/1.80 --time_out_virtual -1. 3.75/1.80 --rnd_seed 13 3.75/1.80 --symbol_type_check false 3.75/1.80 --clausify_out false 3.75/1.80 --sig_cnt_out false 3.75/1.80 --trig_cnt_out false 3.75/1.80 --trig_cnt_out_tolerance 1. 3.75/1.80 --trig_cnt_out_sk_spl false 3.75/1.80 --abstr_cl_out false 3.75/1.80 3.75/1.80 ------ Interactive Mode 3.75/1.80 3.75/1.80 --interactive_mode false 3.75/1.80 --external_ip_address "" 3.75/1.80 --external_port 0 3.75/1.80 3.75/1.80 ------ Global Options 3.75/1.80 3.75/1.80 --schedule none 3.75/1.80 --add_important_lit false 3.75/1.80 --prop_solver_per_cl 500 3.75/1.80 --subs_bck_mult 8 3.75/1.80 --min_unsat_core false 3.75/1.80 --soft_assumptions false 3.75/1.80 --soft_lemma_size 3 3.75/1.80 --prop_impl_unit_size 0 3.75/1.80 --prop_impl_unit [] 3.75/1.80 --share_sel_clauses true 3.75/1.80 --reset_solvers false 3.75/1.80 --bc_imp_inh [conj_cone] 3.75/1.80 --conj_cone_tolerance 3. 3.75/1.80 --extra_neg_conj none 3.75/1.80 --large_theory_mode true 3.75/1.80 --prolific_symb_bound 200 3.75/1.80 --lt_threshold 2000 3.75/1.80 --clause_weak_htbl true 3.75/1.80 --gc_record_bc_elim false 3.75/1.80 3.75/1.80 ------ Preprocessing Options 3.75/1.80 3.75/1.80 --preprocessing_flag false 3.75/1.80 --time_out_prep_mult 0.1 3.75/1.80 --splitting_mode input 3.75/1.80 --splitting_grd true 3.75/1.80 --splitting_cvd false 3.75/1.80 --splitting_cvd_svl false 3.75/1.80 --splitting_nvd 32 3.75/1.80 --sub_typing false 3.75/1.80 --prep_eq_flat_conj false 3.75/1.80 --prep_eq_flat_all_gr false 3.75/1.80 --prep_gs_sim true 3.75/1.80 --prep_unflatten true 3.75/1.80 --prep_res_sim true 3.75/1.80 --prep_sup_sim_all true 3.75/1.80 --prep_sup_sim_sup false 3.75/1.80 --prep_upred true 3.75/1.80 --prep_well_definedness true 3.75/1.80 --prep_sem_filter exhaustive 3.75/1.80 --prep_sem_filter_out false 3.75/1.80 --pred_elim true 3.75/1.80 --res_sim_input true 3.75/1.80 --eq_ax_congr_red true 3.75/1.80 --pure_diseq_elim true 3.75/1.80 --brand_transform false 3.75/1.80 --non_eq_to_eq false 3.75/1.80 --prep_def_merge true 3.75/1.80 --prep_def_merge_prop_impl false 3.75/1.80 --prep_def_merge_mbd true 3.75/1.80 --prep_def_merge_tr_red false 3.75/1.80 --prep_def_merge_tr_cl false 3.75/1.80 --smt_preprocessing false 3.75/1.80 --smt_ac_axioms fast 3.75/1.80 --preprocessed_out false 3.75/1.80 --preprocessed_stats false 3.75/1.80 3.75/1.80 ------ Abstraction refinement Options 3.75/1.80 3.75/1.80 --abstr_ref [] 3.75/1.80 --abstr_ref_prep false 3.75/1.80 --abstr_ref_until_sat false 3.75/1.80 --abstr_ref_sig_restrict funpre 3.75/1.80 --abstr_ref_af_restrict_to_split_sk false 3.75/1.80 --abstr_ref_under [] 3.75/1.80 3.75/1.80 ------ SAT Options 3.75/1.80 3.75/1.80 --sat_mode true 3.75/1.80 --sat_fm_restart_options "" 3.75/1.80 --sat_gr_def false 3.75/1.80 --sat_epr_types true 3.75/1.80 --sat_non_cyclic_types false 3.75/1.80 --sat_finite_models true 3.75/1.80 --sat_fm_lemmas false 3.75/1.80 --sat_fm_prep false 3.75/1.80 --sat_fm_uc_incr true 3.75/1.80 --sat_out_model pos 3.75/1.80 --sat_out_clauses false 3.75/1.80 3.75/1.80 ------ QBF Options 3.75/1.80 3.75/1.80 --qbf_mode false 3.75/1.80 --qbf_elim_univ false 3.75/1.80 --qbf_dom_inst none 3.75/1.80 --qbf_dom_pre_inst false 3.75/1.80 --qbf_sk_in false 3.75/1.80 --qbf_pred_elim true 3.75/1.80 --qbf_split 512 3.75/1.80 3.75/1.80 ------ BMC1 Options 3.75/1.80 3.75/1.80 --bmc1_incremental false 3.75/1.80 --bmc1_axioms reachable_all 3.75/1.80 --bmc1_min_bound 0 3.75/1.80 --bmc1_max_bound -1 3.75/1.80 --bmc1_max_bound_default -1 3.75/1.80 --bmc1_symbol_reachability true 3.75/1.80 --bmc1_property_lemmas false 3.75/1.80 --bmc1_k_induction false 3.75/1.80 --bmc1_non_equiv_states false 3.75/1.80 --bmc1_deadlock false 3.75/1.80 --bmc1_ucm false 3.75/1.80 --bmc1_add_unsat_core none 3.75/1.80 --bmc1_unsat_core_children false 3.75/1.80 --bmc1_unsat_core_extrapolate_axioms false 3.75/1.80 --bmc1_out_stat full 3.75/1.80 --bmc1_ground_init false 3.75/1.80 --bmc1_pre_inst_next_state false 3.75/1.80 --bmc1_pre_inst_state false 3.75/1.80 --bmc1_pre_inst_reach_state false 3.75/1.80 --bmc1_out_unsat_core false 3.75/1.80 --bmc1_aig_witness_out false 3.75/1.80 --bmc1_verbose false 3.75/1.80 --bmc1_dump_clauses_tptp false 3.75/1.80 --bmc1_dump_unsat_core_tptp false 3.75/1.80 --bmc1_dump_file - 3.75/1.80 --bmc1_ucm_expand_uc_limit 128 3.75/1.80 --bmc1_ucm_n_expand_iterations 6 3.75/1.80 --bmc1_ucm_extend_mode 1 3.75/1.80 --bmc1_ucm_init_mode 2 3.75/1.80 --bmc1_ucm_cone_mode none 3.75/1.80 --bmc1_ucm_reduced_relation_type 0 3.75/1.80 --bmc1_ucm_relax_model 4 3.75/1.80 --bmc1_ucm_full_tr_after_sat true 3.75/1.80 --bmc1_ucm_expand_neg_assumptions false 3.75/1.80 --bmc1_ucm_layered_model none 3.75/1.80 --bmc1_ucm_max_lemma_size 10 3.75/1.80 3.75/1.80 ------ AIG Options 3.75/1.80 3.75/1.80 --aig_mode false 3.75/1.80 3.75/1.80 ------ Instantiation Options 3.75/1.80 3.75/1.80 --instantiation_flag true 3.75/1.80 --inst_sos_flag false 3.75/1.80 --inst_sos_phase true 3.75/1.80 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb] 3.75/1.80 --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb] 3.75/1.80 --inst_lit_sel_side num_symb 3.75/1.80 --inst_solver_per_active 1400 3.75/1.80 --inst_solver_calls_frac 1. 3.75/1.80 --inst_to_smt_solver true 3.75/1.80 --inst_passive_queue_type priority_queues 3.75/1.80 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]] 3.75/1.80 --inst_passive_queues_freq [25;2] 3.75/1.80 --inst_dismatching true 3.75/1.80 --inst_eager_unprocessed_to_passive true 3.75/1.80 --inst_unprocessed_bound 1000 3.75/1.80 --inst_prop_sim_given true 3.75/1.80 --inst_prop_sim_new false 3.75/1.80 --inst_subs_new false 3.75/1.80 --inst_eq_res_simp false 3.75/1.80 --inst_subs_given false 3.75/1.80 --inst_orphan_elimination true 3.75/1.80 --inst_learning_loop_flag true 3.75/1.80 --inst_learning_start 3000 3.75/1.80 --inst_learning_factor 2 3.75/1.80 --inst_start_prop_sim_after_learn 3 3.75/1.80 --inst_sel_renew solver 3.75/1.80 --inst_lit_activity_flag true 3.75/1.80 --inst_restr_to_given false 3.75/1.80 --inst_activity_threshold 500 3.75/1.80 3.75/1.80 ------ Resolution Options 3.75/1.80 3.75/1.80 --resolution_flag false 3.75/1.80 --res_lit_sel adaptive 3.75/1.80 --res_lit_sel_side none 3.75/1.80 --res_ordering kbo 3.75/1.80 --res_to_prop_solver active 3.75/1.80 --res_prop_simpl_new false 3.75/1.80 --res_prop_simpl_given true 3.75/1.80 --res_to_smt_solver true 3.75/1.80 --res_passive_queue_type priority_queues 3.75/1.80 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]] 3.75/1.80 --res_passive_queues_freq [15;5] 3.75/1.80 --res_forward_subs full 3.75/1.80 --res_backward_subs full 3.75/1.80 --res_forward_subs_resolution true 3.75/1.80 --res_backward_subs_resolution true 3.75/1.80 --res_orphan_elimination true 3.75/1.80 --res_time_limit 300. 3.75/1.80 3.75/1.80 ------ Superposition Options 3.75/1.80 3.75/1.80 --superposition_flag false 3.75/1.80 --sup_passive_queue_type priority_queues 3.75/1.80 --sup_passive_queues [[-conj_dist;-num_symb];[+score;+min_def_symb;-max_atom_input_occur;+conj_non_prolific_symb];[+age;-num_symb];[+score;-num_symb]] 3.75/1.80 --sup_passive_queues_freq [8;1;4;4] 3.75/1.80 --demod_completeness_check fast 3.75/1.80 --demod_use_ground true 3.75/1.80 --sup_unprocessed_bound 0 3.75/1.80 --sup_to_prop_solver passive 3.75/1.80 --sup_prop_simpl_new true 3.75/1.80 --sup_prop_simpl_given true 3.75/1.80 --sup_fun_splitting false 3.75/1.80 --sup_iter_deepening 2 3.75/1.80 --sup_restarts_mult 12 3.75/1.80 --sup_score sim_d_gen 3.75/1.80 --sup_share_score_frac 0.2 3.75/1.80 --sup_share_max_num_cl 500 3.75/1.80 --sup_ordering kbo 3.75/1.80 --sup_symb_ordering invfreq 3.75/1.80 --sup_term_weight default 3.75/1.80 3.75/1.80 ------ Superposition Simplification Setup 3.75/1.80 3.75/1.80 --sup_indices_passive [LightNormIndex;FwDemodIndex] 3.75/1.80 --sup_full_triv [SMTSimplify;PropSubs] 3.75/1.80 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] 3.75/1.80 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 3.75/1.80 --sup_immed_triv [] 3.75/1.80 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes] 3.75/1.80 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes] 3.75/1.80 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod] 3.75/1.80 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 3.75/1.80 --sup_input_triv [Unflattening;SMTSimplify] 3.75/1.80 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] 3.75/1.80 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 3.75/1.80 --sup_full_fixpoint true 3.75/1.80 --sup_main_fixpoint true 3.75/1.80 --sup_immed_fixpoint false 3.75/1.80 --sup_input_fixpoint true 3.75/1.80 --sup_cache_sim none 3.75/1.80 --sup_smt_interval 500 3.75/1.80 --sup_bw_gjoin_interval 0 3.75/1.80 3.75/1.80 ------ Combination Options 3.75/1.80 3.75/1.80 --comb_mode clause_based 3.75/1.80 --comb_inst_mult 5 3.75/1.80 --comb_res_mult 1 3.75/1.80 --comb_sup_mult 8 3.75/1.80 --comb_sup_deep_mult 2 3.75/1.80 3.75/1.80 ------ Debug Options 3.75/1.80 3.75/1.80 --dbg_backtrace false 3.75/1.80 --dbg_dump_prop_clauses false 3.75/1.80 --dbg_dump_prop_clauses_file - 3.75/1.80 --dbg_out_stat false 3.75/1.80 --dbg_just_parse false 3.75/1.80 3.75/1.80 3.75/1.80 3.75/1.80 3.75/1.80 ------ Proving... 3.75/1.80 3.75/1.80 ------ Trying domains of size >= : 2 3.75/1.80 3.75/1.80 ------ Trying domains of size >= : 2 3.75/1.80 3.75/1.80 ------ Trying domains of size >= : 2 3.75/1.80 3.75/1.80 3.75/1.80 ------ Proving... 3.75/1.80 3.75/1.80 3.75/1.80 % SZS status Satisfiable for theBenchmark.p 3.75/1.80 3.75/1.80 ------ Building Model...Done 3.75/1.80 3.75/1.80 %------ The model is defined over ground terms (initial term algebra). 3.75/1.80 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 3.75/1.80 %------ where \phi is a formula over the term algebra. 3.75/1.80 %------ If we have equality in the problem then it is also defined as a predicate above, 3.75/1.80 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type 3.75/1.80 %------ See help for --sat_out_model for different model outputs. 3.75/1.80 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "=" 3.75/1.80 %------ where the first argument stands for the sort ($i in the unsorted case) 3.75/1.80 % SZS output start Model for theBenchmark.p 3.75/1.80 3.75/1.80 %------ Positive definition of equality_sorted 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_tType,X0_'Complex_complex_fun',X1_'Complex_complex_fun'] : 3.75/1.80 ( equality_sorted(X0_tType,X0_'Complex_complex_fun',X1_'Complex_complex_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_tType='B_ell2_e_cblinfun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='D_c_prod_ell2_d_c_prod_ell2_cblinfun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='B_b_prod_ell2_b_b_prod_ell2_cblinfun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='Complex_complex_complex_cblinfun_fun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='C_a_prod_ell2_c_a_prod_ell2_cblinfun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun$' ) 3.75/1.80 & 3.75/1.80 ( 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 ) 3.75/1.80 & 3.75/1.80 ( 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 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='C_ell2_c_ell2_cblinfun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='D_ell2_d_ell2_cblinfun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='C_d_prod_ell2_c_d_prod_ell2_cblinfun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='Complex$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='A_ell2_a_ell2_cblinfun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='C_b_prod_ell2_c_b_prod_ell2_cblinfun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='A_a_prod_ell2_a_a_prod_ell2_cblinfun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='Complex_complex_fun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='D_ell2_d_ell2_cblinfun_set$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='D_a_prod_ell2_d_a_prod_ell2_cblinfun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='B_a_prod_ell2_b_a_prod_ell2_cblinfun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='B_ell2_b_ell2_cblinfun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='D_d_prod_ell2_d_d_prod_ell2_cblinfun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='A_d_prod_ell2_a_d_prod_ell2_cblinfun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='D_b_prod_ell2_d_b_prod_ell2_cblinfun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='A_c_prod_ell2_a_c_prod_ell2_cblinfun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='B_d_prod_ell2_b_d_prod_ell2_cblinfun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='A_ell2_a_ell2_cblinfun_set$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='B_ell2_e_fun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='Complex_complex_fun_complex_complex_fun_fun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='A_b_prod_ell2_a_b_prod_ell2_cblinfun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='Complex_complex_cblinfun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='Complex_complex_complex_cblinfun_complex_cblinfun_cblinfun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='E$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='B_ell2_e_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='B_c_prod_ell2_b_c_prod_ell2_cblinfun$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 | 3.75/1.80 ( 3.75/1.80 ( X0_tType='C_ell2_c_ell2_cblinfun_set$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'compatible$q' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : 3.75/1.80 ( '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') <=> 3.75/1.80 $false 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'compatible$h' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( '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') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'clinear$j' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( 'clinear$j'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$an' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$an'(X0_'A_ell2_a_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'member$a' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_set'] : 3.75/1.80 ( 'member$a'(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_set') <=> 3.75/1.80 $false 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'clinear$t' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( 'clinear$t'(X0_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$ad' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$ad'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$ar' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$ar'(X0_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'cbilinear$a' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : 3.75/1.80 ( 'cbilinear$a'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'member$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_set'] : 3.75/1.80 ( 'member$'(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_set') <=> 3.75/1.80 $false 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'clinear$p' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( 'clinear$p'(X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'clinear$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'] : 3.75/1.80 ( 'clinear$'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'!=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$ac' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$ac'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'compatible$r' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'] : 3.75/1.80 ( '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') <=> 3.75/1.80 $false 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'iso_tuple_update_accessor_eq_assist$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'Complex_complex_fun_complex_complex_fun_fun',X0_'Complex_complex_fun',X0_'Complex',X1_'Complex_complex_fun',X1_'Complex',X2_'Complex'] : 3.75/1.80 ( 'iso_tuple_update_accessor_eq_assist$'(X0_'Complex_complex_fun_complex_complex_fun_fun',X0_'Complex_complex_fun',X0_'Complex',X1_'Complex_complex_fun',X1_'Complex',X2_'Complex') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X2_'Complex'=X0_'Complex' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'clinear$h' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( 'clinear$h'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'clinear$n' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'] : 3.75/1.80 ( 'clinear$n'(X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'clinear$v' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( 'clinear$v'(X0_'D_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'clinear$o' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : 3.75/1.80 ( 'clinear$o'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$s' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$s'(X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'compatible$j' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : 3.75/1.80 ( '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') <=> 3.75/1.80 $false 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'compatible$y' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( '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') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'compatible$w' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( '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') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'cbilinear$f' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : 3.75/1.80 ( 'cbilinear$f'(X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'cbilinear$q' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun_fun'] : 3.75/1.80 ( 'cbilinear$q'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun_fun'='tensor_op$a' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'clinear$d' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : 3.75/1.80 ( 'clinear$d'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'clinear$l' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( 'clinear$l'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'cbilinear$j' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : 3.75/1.80 ( 'cbilinear$j'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'='cblinfun_compose$a' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'cbilinear$l' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun_fun'] : 3.75/1.80 ( 'cbilinear$l'(X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun_fun'='cblinfun_compose$b' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'compatible$k' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : 3.75/1.80 ( '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') <=> 3.75/1.80 $false 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$a' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$a'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$aq' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$aq'(X0_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$ag' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$ag'(X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'cbilinear$e' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : 3.75/1.80 ( 'cbilinear$e'(X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'clinear$c' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'] : 3.75/1.80 ( 'clinear$c'(X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$ae' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$ae'(X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'compatible$c' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( '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') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'fun_app$bg' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_bool_fun',X0_'A_ell2_a_ell2_cblinfun'] : 3.75/1.80 ( 'fun_app$bg'(X0_'A_ell2_a_ell2_cblinfun_bool_fun',X0_'A_ell2_a_ell2_cblinfun') <=> 3.75/1.80 $false 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'clinear$s' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( 'clinear$s'(X0_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'iso_tuple_update_accessor_cong_assist$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'Complex_complex_fun_complex_complex_fun_fun',X0_'Complex_complex_fun'] : 3.75/1.80 ( 'iso_tuple_update_accessor_cong_assist$'(X0_'Complex_complex_fun_complex_complex_fun_fun',X0_'Complex_complex_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'separating$b' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_itself',X0_'A_ell2_a_ell2_cblinfun_set'] : 3.75/1.80 ( 'separating$b'(X0_'A_itself',X0_'A_ell2_a_ell2_cblinfun_set') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$w' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$w'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'fun_app$bf' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun_bool_fun',X0_'C_ell2_c_ell2_cblinfun'] : 3.75/1.80 ( 'fun_app$bf'(X0_'C_ell2_c_ell2_cblinfun_bool_fun',X0_'C_ell2_c_ell2_cblinfun') <=> 3.75/1.80 $false 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$n' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$n'(X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 3.75/1.80 $false 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'compatible$i' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( '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') <=> 3.75/1.80 $false 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$bc' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$bc'(X0_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'cbilinear$r' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun_fun'] : 3.75/1.80 ( 'cbilinear$r'(X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun_fun'='tensor_op$b' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$be' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$be'(X0_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$c' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$c'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 $false 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'compatible$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( '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') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'clinear$b' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_ell2_e_cblinfun_b_ell2_e_cblinfun_fun'] : 3.75/1.80 ( 'clinear$b'(X0_'B_ell2_e_cblinfun_b_ell2_e_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'cbilinear$k' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'E_e_cblinfun_b_ell2_e_cblinfun_b_ell2_e_cblinfun_fun_fun'] : 3.75/1.80 ( 'cbilinear$k'(X0_'E_e_cblinfun_b_ell2_e_cblinfun_b_ell2_e_cblinfun_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'E_e_cblinfun_b_ell2_e_cblinfun_b_ell2_e_cblinfun_fun_fun'='cblinfun_compose$d' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$v' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$v'(X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'compatible$o' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : 3.75/1.80 ( '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') <=> 3.75/1.80 $false 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$j' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$j'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 3.75/1.80 $false 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'compatible$a' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( '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') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'separating$d' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_itself',X0_'C_ell2_c_ell2_cblinfun_set'] : 3.75/1.80 ( 'separating$d'(X0_'B_itself',X0_'C_ell2_c_ell2_cblinfun_set') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'compatible$ad' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( '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') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$aj' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$aj'(X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'compatible$f' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( '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') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'separating$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_itself',X0_'A_ell2_a_ell2_cblinfun_set'] : 3.75/1.80 ( 'separating$'(X0_'D_itself',X0_'A_ell2_a_ell2_cblinfun_set') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'compatible$ab' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( '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') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'compatible$an' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( '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') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'cbilinear$h' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : 3.75/1.80 ( 'cbilinear$h'(X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'compatible$m' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( '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') <=> 3.75/1.80 $false 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$ak' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$ak'(X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$ba' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$ba'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'='swap$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$q' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$q'(X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'compatible$b' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( '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') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$u' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$u'(X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'cbilinear$m' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun_fun'] : 3.75/1.80 ( 'cbilinear$m'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun_fun'='cblinfun_compose$c' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'cbilinear$c' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : 3.75/1.80 ( 'cbilinear$c'(X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'member$b' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set'] : 3.75/1.80 ( 'member$b'(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set') <=> 3.75/1.80 $false 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$o' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$o'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'cbilinear$u' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun'] : 3.75/1.80 ( 'cbilinear$u'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun') <=> 3.75/1.80 $false 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'compatible$z' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( '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') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'compatible$ac' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( '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') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'clinear$u' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( 'clinear$u'(X0_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'separating$e' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_itself',X0_'D_ell2_d_ell2_cblinfun_set'] : 3.75/1.80 ( 'separating$e'(X0_'B_itself',X0_'D_ell2_d_ell2_cblinfun_set') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$bh' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$bh'(X0_'C_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$t' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$t'(X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'cbilinear$p' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun_fun'] : 3.75/1.80 ( 'cbilinear$p'(X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun_fun'='tensor_op$' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'compatible$aa' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( 'compatible$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') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'compatible$ah' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( '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') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'clinear$g' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'E_e_cblinfun_b_ell2_e_cblinfun_fun'] : 3.75/1.80 ( 'clinear$g'(X0_'E_e_cblinfun_b_ell2_e_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'clinear$a' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( 'clinear$a'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'compatible$e' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( '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') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'cbilinear$b' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : 3.75/1.80 ( 'cbilinear$b'(X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$p' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$p'(X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'compatible$x' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( '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') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$av' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$av'(X0_'C_ell2_c_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'compatible$g' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( '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') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$bg' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$bg'(X0_'D_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'fun_app$aq' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( 'fun_app$aq'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun_bool_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'!=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'cbilinear$i' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun'] : 3.75/1.80 ( 'cbilinear$i'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'separating$c' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_itself',X0_'A_ell2_a_ell2_cblinfun_set'] : 3.75/1.80 ( 'separating$c'(X0_'B_itself',X0_'A_ell2_a_ell2_cblinfun_set') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'clinear$f' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun'] : 3.75/1.80 ( 'clinear$f'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'clinear$i' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( 'clinear$i'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'cbilinear$g' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : 3.75/1.80 ( 'cbilinear$g'(X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'bounded_cbilinear$a' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'Complex_complex_complex_fun_fun'] : 3.75/1.80 ( 'bounded_cbilinear$a'(X0_'Complex_complex_complex_fun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$r' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$r'(X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'compatible$p' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : 3.75/1.80 ( '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') <=> 3.75/1.80 $false 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$bd' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$bd'(X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'compatible$ak' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( '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') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'compatible$n' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : 3.75/1.80 ( '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') <=> 3.75/1.80 $false 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$at' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$at'(X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'cbilinear$v' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'Complex_complex_complex_fun_fun'] : 3.75/1.80 ( 'cbilinear$v'(X0_'Complex_complex_complex_fun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'separating$a' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_itself',X0_'A_ell2_a_ell2_cblinfun_set'] : 3.75/1.80 ( 'separating$a'(X0_'C_itself',X0_'A_ell2_a_ell2_cblinfun_set') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'cbilinear$t' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun_fun'] : 3.75/1.80 ( 'cbilinear$t'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun_fun'='tensor_op$d' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$as' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$as'(X0_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$k' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$k'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 3.75/1.80 $false 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'fun_app$be' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_ell2_d_ell2_cblinfun_bool_fun',X0_'D_ell2_d_ell2_cblinfun'] : 3.75/1.80 ( 'fun_app$be'(X0_'D_ell2_d_ell2_cblinfun_bool_fun',X0_'D_ell2_d_ell2_cblinfun') <=> 3.75/1.80 $false 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'clinear$k' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'Complex_complex_fun'] : 3.75/1.80 ( 'clinear$k'(X0_'Complex_complex_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'compatible$aj' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( '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') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$bb' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$bb'(X0_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'clinear$r' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( 'clinear$r'(X0_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$b' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$b'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'cbilinear$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : 3.75/1.80 ( 'cbilinear$'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'compatible$al' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( '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') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$az' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$az'(X0_'C_ell2_c_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'cbilinear$d' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : 3.75/1.80 ( 'cbilinear$d'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$ai' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$ai'(X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$bf' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$bf'(X0_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'compatible$d' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( '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') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'cbilinear$o' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_ell2_e_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun'] : 3.75/1.80 ( 'cbilinear$o'(X0_'B_ell2_e_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'cbilinear$s' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun_fun'] : 3.75/1.80 ( 'cbilinear$s'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun_fun'='tensor_op$c' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'bounded_cbilinear$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_ell2_e_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun'] : 3.75/1.80 ( 'bounded_cbilinear$'(X0_'B_ell2_e_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'clinear$w' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( 'clinear$w'(X0_'C_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'compatible$ae' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( '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') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'cbilinear$n' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_fun'] : 3.75/1.80 ( 'cbilinear$n'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_fun'='cblinfun_compose$e' ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$au' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$au'(X0_'A_ell2_a_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'clinear$e' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : 3.75/1.80 ( 'clinear$e'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'compatible$l' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( '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') <=> 3.75/1.80 $false 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'clinear$q' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( 'clinear$q'(X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$af' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$af'(X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of 'register$ah' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( 'register$ah'(X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> 3.75/1.80 $true 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'cblinfun_compose$h' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'E_e_cblinfun',X1_'E_e_cblinfun',X2_'E_e_cblinfun'] : 3.75/1.80 ( iProver_Flat_'cblinfun_compose$h'(X0_'E_e_cblinfun',X1_'E_e_cblinfun',X2_'E_e_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'E_e_cblinfun'=iProver_Domain_'E_e_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'plus$a' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_ell2_e_cblinfun',X1_'B_ell2_e_cblinfun',X2_'B_ell2_e_cblinfun'] : 3.75/1.80 ( iProver_Flat_'plus$a'(X0_'B_ell2_e_cblinfun',X1_'B_ell2_e_cblinfun',X2_'B_ell2_e_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_e_cblinfun'=iProver_Domain_'B_ell2_e_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$cs' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$cs'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'comp$m' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'comp$m'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'cblinfun_apply$c' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_cblinfun'] : 3.75/1.80 ( iProver_Flat_'cblinfun_apply$c'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'cblinfun_scaleC_right$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'Complex_complex_complex_cblinfun_fun'] : 3.75/1.80 ( iProver_Flat_'cblinfun_scaleC_right$'(X0_'Complex_complex_complex_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'Complex_complex_complex_cblinfun_fun'=iProver_Domain_'Complex_complex_complex_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uxw$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uxw$'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X2_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$co' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$co'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'register_tensor$c' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'register_tensor$c'(X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uxv$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uxv$'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun',X2_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_2 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uxj$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( iProver_Flat_'uxj$'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'comp$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'comp$'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'tensor_op$k' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'tensor_op$k'(X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun'=iProver_Domain_'C_d_prod_ell2_c_d_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$bt' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$bt'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uxs$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uxs$'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'Complex') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$b' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$b'(X0_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$ai' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$ai'(X0_'C_b_prod_ell2_c_b_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_b_prod_ell2_c_b_prod_ell2_cblinfun'=iProver_Domain_'C_b_prod_ell2_c_b_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$ae' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$ae'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$cq' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$cq'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uxl$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'Complex_complex_fun'] : 3.75/1.80 ( iProver_Flat_'uxl$'(X0_'Complex_complex_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'Complex_complex_fun'=iProver_Domain_'Complex_complex_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'zero$e' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'zero$e'(X0_'C_ell2_c_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'minus$d' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'minus$d'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uxo$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'Complex_complex_complex_fun_fun'] : 3.75/1.80 ( iProver_Flat_'uxo$'(X0_'Complex_complex_complex_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'Complex_complex_complex_fun_fun'=iProver_Domain_'Complex_complex_complex_fun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'snd$a' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( iProver_Flat_'snd$a'(X0_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uvs$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uvs$'(X0_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uuz$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_ell2_d_ell2_cblinfun_bool_fun',X0_'D_ell2_d_ell2_cblinfun_set'] : 3.75/1.80 ( iProver_Flat_'uuz$'(X0_'D_ell2_d_ell2_cblinfun_bool_fun',X0_'D_ell2_d_ell2_cblinfun_set') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_ell2_d_ell2_cblinfun_bool_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_bool_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'register_pair$f' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'register_pair$f'(X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'id_cblinfun$l' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'id_cblinfun$l'(X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun'=iProver_Domain_'D_a_prod_ell2_d_a_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'register_tensor$j' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'register_tensor$j'(X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'=iProver_Domain_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uws$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uws$'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$cf' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'fun_app$cf'(X0_'D_ell2_d_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$bx' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$bx'(X0_'B_ell2_b_ell2_cblinfun',X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uuq$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uuq$'(X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'register_pair$g' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'register_pair$g'(X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$cd' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$cd'(X0_'B_ell2_b_ell2_cblinfun',X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$ag' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$ag'(X0_'D_b_prod_ell2_d_b_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_b_prod_ell2_d_b_prod_ell2_cblinfun'=iProver_Domain_'D_b_prod_ell2_d_b_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'id_cblinfun$d' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'E_e_cblinfun'] : 3.75/1.80 ( iProver_Flat_'id_cblinfun$d'(X0_'E_e_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'E_e_cblinfun'=iProver_Domain_'E_e_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$bn' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$bn'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$al' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'fun_app$al'(X0_'B_ell2_b_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'comp$r' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'comp$r'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'comp$z' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'comp$z'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uuf$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_ell2_e_cblinfun_b_ell2_e_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'uuf$'(X0_'B_ell2_e_cblinfun_b_ell2_e_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_e_cblinfun_b_ell2_e_cblinfun_fun'=iProver_Domain_'B_ell2_e_cblinfun_b_ell2_e_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'zero$f' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_ell2_d_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'zero$f'(X0_'D_ell2_d_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$bz' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$bz'(X0_'B_ell2_b_ell2_cblinfun',X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uuh$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_ell2_e_cblinfun_b_ell2_e_cblinfun_fun'] : 3.75/1.80 ( iProver_Flat_'uuh$'(X0_'B_ell2_e_cblinfun_b_ell2_e_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_e_cblinfun_b_ell2_e_cblinfun_fun'=iProver_Domain_'B_ell2_e_cblinfun_b_ell2_e_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uxx$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uxx$'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X2_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uup$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uup$'(X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$c' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$c'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uub$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'E_e_cblinfun_b_ell2_e_cblinfun_fun',X0_'B_ell2_e_cblinfun'] : 3.75/1.80 ( iProver_Flat_'uub$'(X0_'E_e_cblinfun_b_ell2_e_cblinfun_fun',X0_'B_ell2_e_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'E_e_cblinfun_b_ell2_e_cblinfun_fun'=iProver_Domain_'E_e_cblinfun_b_ell2_e_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'swap$a' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'swap$a'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'cblinfun_mult_right$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'Complex_complex_complex_cblinfun_fun'] : 3.75/1.80 ( iProver_Flat_'cblinfun_mult_right$'(X0_'Complex_complex_complex_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'Complex_complex_complex_cblinfun_fun'=iProver_Domain_'Complex_complex_complex_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$y' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$y'(X0_'B_d_prod_ell2_b_d_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_d_prod_ell2_b_d_prod_ell2_cblinfun'=iProver_Domain_'B_d_prod_ell2_b_d_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uvp$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uvp$'(X0_'A_ell2_a_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'id_cblinfun$b' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_ell2_d_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'id_cblinfun$b'(X0_'D_ell2_d_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'cblinfun_compose$r' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'cblinfun_compose$r'(X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun',X1_'C_d_prod_ell2_c_d_prod_ell2_cblinfun',X2_'C_d_prod_ell2_c_d_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun'=iProver_Domain_'C_d_prod_ell2_c_d_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'map_fun$c' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'map_fun$c'(X0_'Complex_complex_complex_cblinfun_complex_fun_fun_complex_complex_complex_cblinfun_complex_cblinfun_fun_fun',X0_'Complex_complex_fun',X0_'Complex_complex_cblinfun_complex_fun_complex_complex_cblinfun_complex_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'Complex_complex_complex_cblinfun_complex_fun_fun_complex_complex_complex_cblinfun_complex_cblinfun_fun_fun'=iProver_Domain_'Complex_complex_complex_cblinfun_complex_fun_fun_complex_complex_complex_cblinfun_complex_cblinfun_fun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uvv$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uvv$'(X0_'C_ell2_c_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_ell2_c_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'cblinfun_apply$b' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'cblinfun_apply$b'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_2 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fst$a' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( iProver_Flat_'fst$a'(X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'tensor_op$f' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_d_prod_ell2_b_d_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'tensor_op$f'(X0_'B_d_prod_ell2_b_d_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_d_prod_ell2_b_d_prod_ell2_cblinfun'=iProver_Domain_'B_d_prod_ell2_b_d_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$cb' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$cb'(X0_'B_ell2_b_ell2_cblinfun',X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'collect$b' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_bool_fun'] : 3.75/1.80 ( iProver_Flat_'collect$b'(X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_bool_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_set'=iProver_Domain_'A_ell2_a_ell2_cblinfun_set'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'cblinfun_compose$g' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'E_e_cblinfun',X0_'B_ell2_e_cblinfun',X0_'E_b_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'cblinfun_compose$g'(X0_'E_e_cblinfun',X0_'B_ell2_e_cblinfun',X0_'E_b_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'E_e_cblinfun'=iProver_Domain_'E_e_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$da' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_ell2_e_fun',X0_'B_ell2_b_ell2_fun_b_ell2_e_fun_fun',X0_'B_ell2_b_ell2_fun'] : 3.75/1.80 ( iProver_Flat_'fun_app$da'(X0_'B_ell2_e_fun',X0_'B_ell2_b_ell2_fun_b_ell2_e_fun_fun',X0_'B_ell2_b_ell2_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_e_fun'=iProver_Domain_'B_ell2_e_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$'(X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun'=iProver_Domain_'C_a_prod_ell2_c_a_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'comp$aa' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'comp$aa'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_c_d_prod_ell2_c_d_prod_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uxa$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( iProver_Flat_'uxa$'(X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uvf$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uvf$'(X0_'A_ell2_a_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uminus$b' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'Complex_complex_fun'] : 3.75/1.80 ( iProver_Flat_'uminus$b'(X0_'Complex_complex_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'Complex_complex_fun'=iProver_Domain_'Complex_complex_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$ca' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$ca'(X0_'B_ell2_b_ell2_cblinfun',X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$bj' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$bj'(X0_'D_b_prod_ell2_d_b_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_b_prod_ell2_d_b_prod_ell2_cblinfun'=iProver_Domain_'D_b_prod_ell2_d_b_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'tensor_lift$b' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'tensor_lift$b'(X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$cc' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$cc'(X0_'B_ell2_b_ell2_cblinfun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'tensor_lift$e' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'tensor_lift$e'(X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uwq$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uwq$'(X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'map_fun$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'Complex_complex_fun_complex_complex_fun_fun',X0_'Complex_complex_fun',X1_'Complex_complex_fun'] : 3.75/1.80 ( iProver_Flat_'map_fun$'(X0_'Complex_complex_fun_complex_complex_fun_fun',X0_'Complex_complex_fun',X1_'Complex_complex_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'Complex_complex_fun_complex_complex_fun_fun'=iProver_Domain_'Complex_complex_fun_complex_complex_fun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$af' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$af'(X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'=iProver_Domain_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'adj$a' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( iProver_Flat_'adj$a'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uvg$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uvg$'(X0_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'comp$i' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'comp$i'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$cj' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$cj'(X0_'B_ell2_b_ell2_cblinfun',X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uxr$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uxr$'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'Complex') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uxg$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( iProver_Flat_'uxg$'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'scaleC$c' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'Complex_complex_cblinfun',X0_'Complex',X1_'Complex_complex_cblinfun'] : 3.75/1.80 ( iProver_Flat_'scaleC$c'(X0_'Complex_complex_cblinfun',X0_'Complex',X1_'Complex_complex_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'Complex_complex_cblinfun'=iProver_Domain_'Complex_complex_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uuu$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'uuu$'(X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'comp$ae' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'comp$ae'(X0_'Complex_complex_complex_cblinfun_complex_cblinfun_cblinfun',X0_'Complex_complex_complex_cblinfun_complex_cblinfun_fun_complex_complex_complex_cblinfun_complex_cblinfun_cblinfun_fun',X0_'Complex_complex_complex_cblinfun_complex_fun_fun_complex_complex_complex_cblinfun_complex_cblinfun_fun_fun',X0_'Complex_complex_complex_cblinfun_complex_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'Complex_complex_complex_cblinfun_complex_cblinfun_cblinfun'=iProver_Domain_'Complex_complex_complex_cblinfun_complex_cblinfun_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uwl$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uwl$'(X0_'D_ell2_d_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_ell2_d_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$w' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'fun_app$w'(X0_'A_ell2_a_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uwk$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uwk$'(X0_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'tensor_lift$a' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'tensor_lift$a'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$db' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$db'(X0_'B_ell2_b_ell2_fun_b_ell2_e_fun_fun',X0_'B_ell2_e_fun_b_ell2_b_ell2_fun_b_ell2_e_fun_fun_fun',X0_'B_ell2_e_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_b_ell2_fun_b_ell2_e_fun_fun'=iProver_Domain_'B_ell2_b_ell2_fun_b_ell2_e_fun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uminus$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_ell2_e_cblinfun',X1_'B_ell2_e_cblinfun'] : 3.75/1.80 ( iProver_Flat_'uminus$'(X0_'B_ell2_e_cblinfun',X1_'B_ell2_e_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_e_cblinfun'=iProver_Domain_'B_ell2_e_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$s' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$s'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uua$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'uua$'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'plus$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'Complex_complex_complex_fun_fun'] : 3.75/1.80 ( iProver_Flat_'plus$'(X0_'Complex_complex_complex_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'Complex_complex_complex_fun_fun'=iProver_Domain_'Complex_complex_complex_fun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$bs' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$bs'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'register_pair$d' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'register_pair$d'(X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'zero$c' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'zero$c'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'minus$f' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'minus$f'(X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$am' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$am'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uyc$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( iProver_Flat_'uyc$'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$ad' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'fun_app$ad'(X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uxn$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'Complex_complex_complex_fun_fun'] : 3.75/1.80 ( iProver_Flat_'uxn$'(X0_'Complex_complex_complex_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'Complex_complex_complex_fun_fun'=iProver_Domain_'Complex_complex_complex_fun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uvb$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_bool_fun',X0_'A_ell2_a_ell2_cblinfun_set'] : 3.75/1.80 ( iProver_Flat_'uvb$'(X0_'A_ell2_a_ell2_cblinfun_bool_fun',X0_'A_ell2_a_ell2_cblinfun_set') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_bool_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_bool_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'comp$p' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'comp$p'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'register_tensor$b' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'register_tensor$b'(X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'times$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'Complex_complex_complex_fun_fun'] : 3.75/1.80 ( iProver_Flat_'times$'(X0_'Complex_complex_complex_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'Complex_complex_complex_fun_fun'=iProver_Domain_'Complex_complex_complex_fun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'z$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_ell2_e_cblinfun'] : 3.75/1.80 ( iProver_Flat_'z$'(X0_'B_ell2_e_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_e_cblinfun'=iProver_Domain_'B_ell2_e_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uxk$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( iProver_Flat_'uxk$'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'id_cblinfun$m' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_b_prod_ell2_c_b_prod_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'id_cblinfun$m'(X0_'C_b_prod_ell2_c_b_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_b_prod_ell2_c_b_prod_ell2_cblinfun'=iProver_Domain_'C_b_prod_ell2_c_b_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'register_pair$o' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'register_pair$o'(X0_'D_ell2_d_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'f$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( iProver_Flat_'f$'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'butterfly$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_ell2_e_cblinfun',X0_'E',X0_'B_ell2'] : 3.75/1.80 ( iProver_Flat_'butterfly$'(X0_'B_ell2_e_cblinfun',X0_'E',X0_'B_ell2') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_e_cblinfun'=iProver_Domain_'B_ell2_e_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'cblinfun_compose$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_ell2_e_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun'] : 3.75/1.80 ( iProver_Flat_'cblinfun_compose$'(X0_'B_ell2_e_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_e_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun'=iProver_Domain_'B_ell2_e_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uwp$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uwp$'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X1_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'one$a' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'Complex_complex_cblinfun'] : 3.75/1.80 ( iProver_Flat_'one$a'(X0_'Complex_complex_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'Complex_complex_cblinfun'=iProver_Domain_'Complex_complex_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'register_pair$j' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'register_pair$j'(X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'tensor_op$n' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'tensor_op$n'(X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun'=iProver_Domain_'D_c_prod_ell2_d_c_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'cblinfun_compose$i' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'cblinfun_compose$i'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X1_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X2_'B_b_prod_ell2_b_b_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uux$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'uux$'(X0_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uwh$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uwh$'(X0_'B_ell2_b_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_b_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'comp$o' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'comp$o'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uwf$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uwf$'(X0_'D_ell2_d_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_ell2_d_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uvn$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uvn$'(X0_'A_ell2_a_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$au' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'Complex_complex_fun',X0_'Complex_complex_complex_fun_fun',X0_'Complex'] : 3.75/1.80 ( iProver_Flat_'fun_app$au'(X0_'Complex_complex_fun',X0_'Complex_complex_complex_fun_fun',X0_'Complex') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'Complex_complex_fun'=iProver_Domain_'Complex_complex_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'cinner$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'Complex_complex_complex_fun_fun'] : 3.75/1.80 ( iProver_Flat_'cinner$'(X0_'Complex_complex_complex_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'Complex_complex_complex_fun_fun'=iProver_Domain_'Complex_complex_complex_fun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'map_fun$d' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'Complex_complex_complex_cblinfun_fun',X0_'Complex_complex_fun',X0_'Complex_complex_fun_complex_complex_cblinfun_fun',X0_'Complex_complex_complex_fun_fun'] : 3.75/1.80 ( iProver_Flat_'map_fun$d'(X0_'Complex_complex_complex_cblinfun_fun',X0_'Complex_complex_fun',X0_'Complex_complex_fun_complex_complex_cblinfun_fun',X0_'Complex_complex_complex_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'Complex_complex_complex_cblinfun_fun'=iProver_Domain_'Complex_complex_complex_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'sandwich$e' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_b_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'sandwich$e'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_b_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uvl$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uvl$'(X0_'C_ell2_c_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_ell2_c_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'tensor_lift$f' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'tensor_lift$f'(X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$dd' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'Complex_complex_cblinfun',X0_'Complex_complex_complex_cblinfun_fun',X0_'Complex'] : 3.75/1.80 ( iProver_Flat_'fun_app$dd'(X0_'Complex_complex_cblinfun',X0_'Complex_complex_complex_cblinfun_fun',X0_'Complex') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'Complex_complex_cblinfun'=iProver_Domain_'Complex_complex_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$t' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'fun_app$t'(X0_'B_ell2_b_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$bh' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$bh'(X0_'D_b_prod_ell2_d_b_prod_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_b_prod_ell2_d_b_prod_ell2_cblinfun'=iProver_Domain_'D_b_prod_ell2_d_b_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$ak' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$ak'(X0_'B_d_prod_ell2_b_d_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_d_prod_ell2_b_d_prod_ell2_cblinfun'=iProver_Domain_'B_d_prod_ell2_b_d_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uur$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uur$'(X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uya$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uya$'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_2 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$ax' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'fun_app$ax'(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uve$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uve$'(X0_'A_ell2_a_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uwt$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uwt$'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X1_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uuv$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'uuv$'(X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'scaleC$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'Complex_complex_complex_fun_fun'] : 3.75/1.80 ( iProver_Flat_'scaleC$'(X0_'Complex_complex_complex_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'Complex_complex_complex_fun_fun'=iProver_Domain_'Complex_complex_complex_fun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$ah' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'fun_app$ah'(X0_'D_ell2_d_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'register_tensor$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'register_tensor$'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uvj$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uvj$'(X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'id_cblinfun$k' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'id_cblinfun$k'(X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun'=iProver_Domain_'D_c_prod_ell2_d_c_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'scaleC$g' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'Complex'] : 3.75/1.80 ( iProver_Flat_'scaleC$g'(X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'Complex') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$cn' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$cn'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uxi$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( iProver_Flat_'uxi$'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'id_cblinfun$h' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'id_cblinfun$h'(X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'=iProver_Domain_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fst$b' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( iProver_Flat_'fst$b'(X0_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'g$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( iProver_Flat_'g$'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uminus$f' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'] : 3.75/1.80 ( iProver_Flat_'uminus$f'(X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'tensor_op$j' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_c_prod_ell2_b_c_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'tensor_op$j'(X0_'B_c_prod_ell2_b_c_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_c_prod_ell2_b_c_prod_ell2_cblinfun'=iProver_Domain_'B_c_prod_ell2_b_c_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$bb' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_ell2_e_cblinfun',X0_'E_e_cblinfun_b_ell2_e_cblinfun_fun',X0_'E_e_cblinfun'] : 3.75/1.80 ( iProver_Flat_'fun_app$bb'(X0_'B_ell2_e_cblinfun',X0_'E_e_cblinfun_b_ell2_e_cblinfun_fun',X0_'E_e_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_e_cblinfun'=iProver_Domain_'B_ell2_e_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'of_complex$a' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'Complex_complex_cblinfun',X0_'Complex'] : 3.75/1.80 ( iProver_Flat_'of_complex$a'(X0_'Complex_complex_cblinfun',X0_'Complex') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'Complex_complex_cblinfun'=iProver_Domain_'Complex_complex_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'comp$h' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'comp$h'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'comp$y' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'comp$y'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'butterfly$a' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2',X1_'B_ell2'] : 3.75/1.80 ( iProver_Flat_'butterfly$a'(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2',X1_'B_ell2') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'eps$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'eps$'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun_bool_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uxt$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'Complex_complex_complex_fun_fun',X0_'Complex_complex_fun'] : 3.75/1.80 ( iProver_Flat_'uxt$'(X0_'Complex_complex_complex_fun_fun',X0_'Complex_complex_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'Complex_complex_complex_fun_fun'=iProver_Domain_'Complex_complex_complex_fun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$an' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$an'(X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'=iProver_Domain_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uwb$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uwb$'(X0_'C_ell2_c_ell2_cblinfun_b_c_prod_ell2_b_c_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_ell2_c_ell2_cblinfun_b_c_prod_ell2_b_c_prod_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_c_prod_ell2_b_c_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uminus$c' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'uminus$c'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'sandwich$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'A_ell2_d_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'sandwich$'(X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'A_ell2_d_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uye$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'Complex_complex_fun_complex_complex_fun_fun'] : 3.75/1.80 ( iProver_Flat_'uye$'(X0_'Complex_complex_fun_complex_complex_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'Complex_complex_fun_complex_complex_fun_fun'=iProver_Domain_'Complex_complex_fun_complex_complex_fun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'register_pair$i' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'register_pair$i'(X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'id_cblinfun$e' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'id_cblinfun$e'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'cblinfun_apply$e' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_cblinfun'] : 3.75/1.80 ( iProver_Flat_'cblinfun_apply$e'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'tensor_lift$g' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'tensor_lift$g'(X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'tensor_op$g' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'tensor_op$g'(X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun'=iProver_Domain_'A_b_prod_ell2_a_b_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$bi' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$bi'(X0_'B_c_prod_ell2_b_c_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_c_prod_ell2_b_c_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_c_prod_ell2_b_c_prod_ell2_cblinfun'=iProver_Domain_'B_c_prod_ell2_b_c_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'tensor_lift$i' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'tensor_lift$i'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'tensor_op$l' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X1_'C_ell2_c_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'tensor_op$l'(X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X1_'C_ell2_c_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun'=iProver_Domain_'C_c_prod_ell2_c_c_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uul$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uul$'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$ar' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_ell2_e_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'fun_app$ar'(X0_'B_ell2_e_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_e_cblinfun'=iProver_Domain_'B_ell2_e_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uww$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uww$'(X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$bm' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$bm'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'D_ell2_d_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'cblinfun_compose$m' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'cblinfun_compose$m'(X0_'D_b_prod_ell2_d_b_prod_ell2_cblinfun',X1_'D_b_prod_ell2_d_b_prod_ell2_cblinfun',X2_'D_b_prod_ell2_d_b_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_b_prod_ell2_d_b_prod_ell2_cblinfun'=iProver_Domain_'D_b_prod_ell2_d_b_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$bl' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'Complex_complex_fun',X0_'Complex_complex_fun_complex_complex_fun_fun',X1_'Complex_complex_fun'] : 3.75/1.80 ( iProver_Flat_'fun_app$bl'(X0_'Complex_complex_fun',X0_'Complex_complex_fun_complex_complex_fun_fun',X1_'Complex_complex_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'Complex_complex_fun'=iProver_Domain_'Complex_complex_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'register_pair$a' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'register_pair$a'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'cblinfun_apply$d' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_cblinfun'] : 3.75/1.80 ( iProver_Flat_'cblinfun_apply$d'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uwe$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uwe$'(X0_'A_ell2_a_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'register_pair$c' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'register_pair$c'(X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'register_tensor$d' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'register_tensor$d'(X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'scaleC$d' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X0_'Complex',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'scaleC$d'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X0_'Complex',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'sandwich$c' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_b_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'sandwich$c'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_b_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uvu$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uvu$'(X0_'A_ell2_a_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uvo$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uvo$'(X0_'A_ell2_a_ell2_cblinfun_b_c_prod_ell2_b_c_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_b_c_prod_ell2_b_c_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_c_prod_ell2_b_c_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'register_pair$q' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'register_pair$q'(X0_'D_ell2_d_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'comp$n' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'comp$n'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'sandwich$d' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_b_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'sandwich$d'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_b_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$k' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$k'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$a' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$a'(X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun'=iProver_Domain_'C_a_prod_ell2_c_a_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$cu' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$cu'(X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun'=iProver_Domain_'C_a_prod_ell2_c_a_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uxe$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( iProver_Flat_'uxe$'(X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'cblinfun_compose$l' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'cblinfun_compose$l'(X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun',X1_'B_a_prod_ell2_b_a_prod_ell2_cblinfun',X2_'B_a_prod_ell2_b_a_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'=iProver_Domain_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uvc$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uvc$'(X0_'C_ell2_c_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_ell2_c_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'comp$d' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'comp$d'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'divide$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'Complex_complex_complex_fun_fun'] : 3.75/1.80 ( iProver_Flat_'divide$'(X0_'Complex_complex_complex_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'Complex_complex_complex_fun_fun'=iProver_Domain_'Complex_complex_complex_fun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'swap$e' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun',X1_'A_a_prod_ell2_a_a_prod_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'swap$e'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun',X1_'A_a_prod_ell2_a_a_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$bv' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_ell2_e_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'fun_app$bv'(X0_'B_ell2_e_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_e_cblinfun'=iProver_Domain_'B_ell2_e_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uvr$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uvr$'(X0_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$ab' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$ab'(X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'=iProver_Domain_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'swap$c' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X1_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'swap$c'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X1_'B_b_prod_ell2_b_b_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uwx$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uwx$'(X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X1_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uxc$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( iProver_Flat_'uxc$'(X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$as' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$as'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_e_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_e_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$ck' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$ck'(X0_'B_ell2_b_ell2_cblinfun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uwa$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( iProver_Flat_'uwa$'(X0_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$d' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$d'(X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'register_tensor$m' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'register_tensor$m'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uxu$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'Complex_complex_complex_fun_fun'] : 3.75/1.80 ( iProver_Flat_'uxu$'(X0_'Complex_complex_complex_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'Complex_complex_complex_fun_fun'=iProver_Domain_'Complex_complex_complex_fun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uvm$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uvm$'(X0_'C_ell2_c_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_ell2_c_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$u' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$u'(X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'=iProver_Domain_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$v' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$v'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$bd' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$bd'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'comp$e' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'Complex_complex_fun_complex_complex_fun_fun',X0_'Complex_complex_fun'] : 3.75/1.80 ( iProver_Flat_'comp$e'(X0_'Complex_complex_fun_complex_complex_fun_fun',X0_'Complex_complex_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'Complex_complex_fun_complex_complex_fun_fun'=iProver_Domain_'Complex_complex_fun_complex_complex_fun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$ac' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$ac'(X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun'=iProver_Domain_'A_b_prod_ell2_a_b_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'register_tensor$i' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'register_tensor$i'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fst$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( iProver_Flat_'fst$'(X0_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$de' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'Complex_complex_cblinfun',X0_'Complex_complex_fun_complex_complex_cblinfun_fun',X0_'Complex_complex_fun'] : 3.75/1.80 ( iProver_Flat_'fun_app$de'(X0_'Complex_complex_cblinfun',X0_'Complex_complex_fun_complex_complex_cblinfun_fun',X0_'Complex_complex_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'Complex_complex_cblinfun'=iProver_Domain_'Complex_complex_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'map_fun$a' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'map_fun$a'(X0_'B_ell2_e_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun',X0_'B_ell2_e_cblinfun_b_ell2_e_fun_fun',X0_'B_ell2_b_ell2_fun_b_ell2_e_fun_fun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun',X0_'B_ell2_e_fun_b_ell2_b_ell2_fun_b_ell2_e_fun_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_e_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun'=iProver_Domain_'B_ell2_e_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'register_tensor$l' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'register_tensor$l'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_d_prod_ell2_c_d_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_d_prod_ell2_c_d_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_d_prod_ell2_c_d_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uuk$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uuk$'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uxh$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'] : 3.75/1.80 ( iProver_Flat_'uxh$'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_2 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'minus$c' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'minus$c'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X2_'A_c_prod_ell2_a_c_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$bw' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$bw'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_e_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_e_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'minus$e' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'minus$e'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$x' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'fun_app$x'(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uwy$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( iProver_Flat_'uwy$'(X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'zero$a' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_ell2_e_cblinfun'] : 3.75/1.80 ( iProver_Flat_'zero$a'(X0_'B_ell2_e_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_e_cblinfun'=iProver_Domain_'B_ell2_e_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'cadjoint$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'Complex_complex_fun_complex_complex_fun_fun'] : 3.75/1.80 ( iProver_Flat_'cadjoint$'(X0_'Complex_complex_fun_complex_complex_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'Complex_complex_fun_complex_complex_fun_fun'=iProver_Domain_'Complex_complex_fun_complex_complex_fun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uvt$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uvt$'(X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$br' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$br'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'plus$b' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'plus$b'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'swap$d' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun',X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'swap$d'(X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun',X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun'=iProver_Domain_'D_a_prod_ell2_d_a_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$bo' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$bo'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'D_ell2_d_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'register_tensor$f' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'register_tensor$f'(X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$ay' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$ay'(X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun_fun',X0_'D_ell2_d_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'scaleC$a' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_ell2_e_cblinfun',X0_'Complex',X1_'B_ell2_e_cblinfun'] : 3.75/1.80 ( iProver_Flat_'scaleC$a'(X0_'B_ell2_e_cblinfun',X0_'Complex',X1_'B_ell2_e_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_e_cblinfun'=iProver_Domain_'B_ell2_e_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'comp$ab' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'comp$ab'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uyb$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.80 ( iProver_Flat_'uyb$'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'comp$w' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'comp$w'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$h' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$h'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'id_cblinfun$g' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_c_prod_ell2_b_c_prod_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'id_cblinfun$g'(X0_'B_c_prod_ell2_b_c_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_c_prod_ell2_b_c_prod_ell2_cblinfun'=iProver_Domain_'B_c_prod_ell2_b_c_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uvh$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uvh$'(X0_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'snd$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'C_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( iProver_Flat_'snd$'(X0_'C_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$cm' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$cm'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$aa' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'fun_app$aa'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uuc$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'uuc$'(X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'one$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'Complex'] : 3.75/1.80 ( iProver_Flat_'one$'(X0_'Complex') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'Complex'=iProver_Domain_'Complex'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'map_fun$b' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'map_fun$b'(X0_'B_ell2_b_ell2_fun_b_ell2_e_fun_fun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_fun_fun',X0_'B_ell2_e_fun_b_ell2_e_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_b_ell2_fun_b_ell2_e_fun_fun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun'=iProver_Domain_'B_ell2_b_ell2_fun_b_ell2_e_fun_fun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uwj$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uwj$'(X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'fun_app$q' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'fun_app$q'(X0_'B_ell2_b_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'register_pair$k' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'register_pair$k'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'register_tensor$e' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'register_tensor$e'(X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uwr$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'uwr$'(X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'id$a' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'Complex_complex_fun_complex_complex_fun_fun'] : 3.75/1.80 ( iProver_Flat_'id$a'(X0_'Complex_complex_fun_complex_complex_fun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'Complex_complex_fun_complex_complex_fun_fun'=iProver_Domain_'Complex_complex_fun_complex_complex_fun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'swap$b' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun',X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun'] : 3.75/1.80 ( iProver_Flat_'swap$b'(X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun',X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun'=iProver_Domain_'A_d_prod_ell2_a_d_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'comp$s' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'comp$s'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'uvx$' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [X0_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'] : 3.75/1.80 ( iProver_Flat_'uvx$'(X0_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'register_pair$h' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'register_pair$h'(X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'cblinfun_compose$j' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'cblinfun_compose$j'(X0_'B_d_prod_ell2_b_d_prod_ell2_cblinfun',X1_'B_d_prod_ell2_b_d_prod_ell2_cblinfun',X2_'B_d_prod_ell2_b_d_prod_ell2_cblinfun') <=> 3.75/1.80 ( 3.75/1.80 ( 3.75/1.80 ( X0_'B_d_prod_ell2_b_d_prod_ell2_cblinfun'=iProver_Domain_'B_d_prod_ell2_b_d_prod_ell2_cblinfun'_1 ) 3.75/1.80 ) 3.75/1.80 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ) 3.75/1.80 ). 3.75/1.80 3.75/1.80 %------ Positive definition of iProver_Flat_'comp$x' 3.75/1.80 fof(lit_def,axiom, 3.75/1.80 (! [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'] : 3.75/1.80 ( iProver_Flat_'comp$x'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_d_prod_ell2_c_d_prod_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uum$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'uum$'(X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'register_pair$e' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'register_pair$e'(X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uvq$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'uvq$'(X0_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$i' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'fun_app$i'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uun$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'uun$'(X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uva$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'C_ell2_c_ell2_cblinfun_bool_fun',X0_'C_ell2_c_ell2_cblinfun_set'] : 3.75/1.81 ( iProver_Flat_'uva$'(X0_'C_ell2_c_ell2_cblinfun_bool_fun',X0_'C_ell2_c_ell2_cblinfun_set') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun_bool_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_bool_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'sandwich$a' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_c_ell2_cblinfun'] : 3.75/1.81 ( iProver_Flat_'sandwich$a'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_c_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'comp$ac' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'comp$ac'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_d_prod_ell2_c_d_prod_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'cblinfun_cinner_right$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'Complex_complex_complex_cblinfun_fun'] : 3.75/1.81 ( iProver_Flat_'cblinfun_cinner_right$'(X0_'Complex_complex_complex_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'Complex_complex_complex_cblinfun_fun'=iProver_Domain_'Complex_complex_complex_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'scaleC$e' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'Complex'] : 3.75/1.81 ( iProver_Flat_'scaleC$e'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'Complex') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'inverse$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'Complex_complex_fun'] : 3.75/1.81 ( iProver_Flat_'inverse$'(X0_'Complex_complex_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'Complex_complex_fun'=iProver_Domain_'Complex_complex_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uwv$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'uwv$'(X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'h$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.81 ( iProver_Flat_'h$'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'register_tensor$a' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'register_tensor$a'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uui$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : 3.75/1.81 ( iProver_Flat_'uui$'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'id_cblinfun$j' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun'] : 3.75/1.81 ( iProver_Flat_'id_cblinfun$j'(X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun'=iProver_Domain_'D_d_prod_ell2_d_d_prod_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'cinner$a' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'Complex',X0_'B_ell2',X1_'B_ell2'] : 3.75/1.81 ( iProver_Flat_'cinner$a'(X0_'Complex',X0_'B_ell2',X1_'B_ell2') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'Complex'=iProver_Domain_'Complex'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'comp$ag' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'comp$ag'(X0_'Complex_complex_complex_cblinfun_complex_cblinfun_fun',X0_'Complex_complex_cblinfun_complex_fun_complex_complex_cblinfun_complex_cblinfun_fun',X0_'Complex_complex_complex_cblinfun_complex_fun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'Complex_complex_complex_cblinfun_complex_cblinfun_fun'=iProver_Domain_'Complex_complex_complex_cblinfun_complex_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uug$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : 3.75/1.81 ( iProver_Flat_'uug$'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$p' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'fun_app$p'(X0_'B_ell2_b_ell2_cblinfun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'scaleC$b' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'Complex'] : 3.75/1.81 ( iProver_Flat_'scaleC$b'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'Complex') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$cl' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'fun_app$cl'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'of_complex$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'Complex_complex_fun'] : 3.75/1.81 ( iProver_Flat_'of_complex$'(X0_'Complex_complex_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'Complex_complex_fun'=iProver_Domain_'Complex_complex_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uxq$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'uxq$'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'Complex') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uue$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : 3.75/1.81 ( iProver_Flat_'uue$'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uwo$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'Complex_complex_complex_fun_fun',X1_'Complex_complex_complex_fun_fun'] : 3.75/1.81 ( iProver_Flat_'uwo$'(X0_'Complex_complex_complex_fun_fun',X1_'Complex_complex_complex_fun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'Complex_complex_complex_fun_fun'=iProver_Domain_'Complex_complex_complex_fun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uxp$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'uxp$'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'Complex') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_2 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'comp$c' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'comp$c'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uus$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'uus$'(X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$az' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'fun_app$az'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'cblinfun_compose$k' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'cblinfun_compose$k'(X0_'B_c_prod_ell2_b_c_prod_ell2_cblinfun',X1_'B_c_prod_ell2_b_c_prod_ell2_cblinfun',X2_'B_c_prod_ell2_b_c_prod_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'B_c_prod_ell2_b_c_prod_ell2_cblinfun'=iProver_Domain_'B_c_prod_ell2_b_c_prod_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uxb$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.81 ( iProver_Flat_'uxb$'(X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'register_pair$b' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'register_pair$b'(X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$cy' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'E',X0_'B_ell2_e_fun',X0_'B_ell2'] : 3.75/1.81 ( iProver_Flat_'fun_app$cy'(X0_'E',X0_'B_ell2_e_fun',X0_'B_ell2') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'E'=iProver_Domain_'E'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$bk' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'fun_app$bk'(X0_'B_c_prod_ell2_b_c_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_c_prod_ell2_b_c_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'B_c_prod_ell2_b_c_prod_ell2_cblinfun'=iProver_Domain_'B_c_prod_ell2_b_c_prod_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'collect$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'D_ell2_d_ell2_cblinfun_set',X0_'D_ell2_d_ell2_cblinfun_bool_fun'] : 3.75/1.81 ( iProver_Flat_'collect$'(X0_'D_ell2_d_ell2_cblinfun_set',X0_'D_ell2_d_ell2_cblinfun_bool_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun_set'=iProver_Domain_'D_ell2_d_ell2_cblinfun_set'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'register_pair$n' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'register_pair$n'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uvw$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'] : 3.75/1.81 ( iProver_Flat_'uvw$'(X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'cblinfun_mult_left$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'Complex_complex_complex_cblinfun_fun'] : 3.75/1.81 ( iProver_Flat_'cblinfun_mult_left$'(X0_'Complex_complex_complex_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'Complex_complex_complex_cblinfun_fun'=iProver_Domain_'Complex_complex_complex_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'tensor_op$e' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun'] : 3.75/1.81 ( iProver_Flat_'tensor_op$e'(X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'=iProver_Domain_'B_a_prod_ell2_b_a_prod_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'bifunctional$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'Complex_complex_complex_cblinfun_complex_cblinfun_cblinfun'] : 3.75/1.81 ( iProver_Flat_'bifunctional$'(X0_'Complex_complex_complex_cblinfun_complex_cblinfun_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'Complex_complex_complex_cblinfun_complex_cblinfun_cblinfun'=iProver_Domain_'Complex_complex_complex_cblinfun_complex_cblinfun_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'sandwich$b' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : 3.75/1.81 ( iProver_Flat_'sandwich$b'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uuj$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'Complex_complex_fun'] : 3.75/1.81 ( iProver_Flat_'uuj$'(X0_'Complex_complex_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'Complex_complex_fun'=iProver_Domain_'Complex_complex_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'adj$b' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : 3.75/1.81 ( iProver_Flat_'adj$b'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$cr' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'fun_app$cr'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$j' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'fun_app$j'(X0_'C_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'minus$b' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'Complex_complex_complex_fun_fun'] : 3.75/1.81 ( iProver_Flat_'minus$b'(X0_'Complex_complex_complex_fun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'Complex_complex_complex_fun_fun'=iProver_Domain_'Complex_complex_complex_fun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'comp$f' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'comp$f'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'collect$a' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'C_ell2_c_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_bool_fun'] : 3.75/1.81 ( iProver_Flat_'collect$a'(X0_'C_ell2_c_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_bool_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun_set'=iProver_Domain_'C_ell2_c_ell2_cblinfun_set'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$o' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'fun_app$o'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'B_ell2_e_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun',X0_'B_ell2_e_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'register_pair$l' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'register_pair$l'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'comp$l' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'comp$l'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'id_cblinfun$o' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'Complex_complex_cblinfun'] : 3.75/1.81 ( iProver_Flat_'id_cblinfun$o'(X0_'Complex_complex_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'Complex_complex_cblinfun'=iProver_Domain_'Complex_complex_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'zero$d' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'A_ell2_a_ell2_cblinfun'] : 3.75/1.81 ( iProver_Flat_'zero$d'(X0_'A_ell2_a_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'tensor_op$h' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'D_b_prod_ell2_d_b_prod_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun'] : 3.75/1.81 ( iProver_Flat_'tensor_op$h'(X0_'D_b_prod_ell2_d_b_prod_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_b_prod_ell2_d_b_prod_ell2_cblinfun'=iProver_Domain_'D_b_prod_ell2_d_b_prod_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'tensor_op$i' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'C_b_prod_ell2_c_b_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun'] : 3.75/1.81 ( iProver_Flat_'tensor_op$i'(X0_'C_b_prod_ell2_c_b_prod_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_b_prod_ell2_c_b_prod_ell2_cblinfun'=iProver_Domain_'C_b_prod_ell2_c_b_prod_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uuy$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : 3.75/1.81 ( iProver_Flat_'uuy$'(X0_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$ct' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'fun_app$ct'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'comp$g' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'comp$g'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$ao' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'fun_app$ao'(X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_b_prod_ell2_a_b_prod_ell2_cblinfun'=iProver_Domain_'A_b_prod_ell2_a_b_prod_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'register_pair$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'register_pair$'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uyd$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.81 ( iProver_Flat_'uyd$'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$aw' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'Complex_complex_cblinfun_complex_fun',X0_'Complex_complex_complex_cblinfun_complex_fun_fun',X0_'Complex'] : 3.75/1.81 ( iProver_Flat_'fun_app$aw'(X0_'Complex_complex_cblinfun_complex_fun',X0_'Complex_complex_complex_cblinfun_complex_fun_fun',X0_'Complex') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'Complex_complex_cblinfun_complex_fun'=iProver_Domain_'Complex_complex_cblinfun_complex_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uwm$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'uwm$'(X0_'C_ell2_c_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'id_cblinfun$i' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'D_b_prod_ell2_d_b_prod_ell2_cblinfun'] : 3.75/1.81 ( iProver_Flat_'id_cblinfun$i'(X0_'D_b_prod_ell2_d_b_prod_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_b_prod_ell2_d_b_prod_ell2_cblinfun'=iProver_Domain_'D_b_prod_ell2_d_b_prod_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uvz$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'] : 3.75/1.81 ( iProver_Flat_'uvz$'(X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$cp' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'fun_app$cp'(X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun',X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'=iProver_Domain_'B_b_prod_ell2_b_b_prod_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'cblinfun_apply$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'Complex_complex_fun',X0_'Complex_complex_cblinfun'] : 3.75/1.81 ( iProver_Flat_'cblinfun_apply$'(X0_'Complex_complex_fun',X0_'Complex_complex_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'Complex_complex_fun'=iProver_Domain_'Complex_complex_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uuw$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun'] : 3.75/1.81 ( iProver_Flat_'uuw$'(X0_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$ch' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : 3.75/1.81 ( iProver_Flat_'fun_app$ch'(X0_'C_ell2_c_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uxy$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'uxy$'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X2_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'id_cblinfun$c' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'C_ell2_c_ell2_cblinfun'] : 3.75/1.81 ( iProver_Flat_'id_cblinfun$c'(X0_'C_ell2_c_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uwz$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.81 ( iProver_Flat_'uwz$'(X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_d_prod_ell2_a_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'comp$v' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'comp$v'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$f' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'fun_app$f'(X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun'=iProver_Domain_'A_d_prod_ell2_a_d_prod_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uwn$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'uwn$'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun_bool_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun_bool_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun_bool_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uud$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : 3.75/1.81 ( iProver_Flat_'uud$'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$bp' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'fun_app$bp'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'minus$a' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : 3.75/1.81 ( iProver_Flat_'minus$a'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'comp$t' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'comp$t'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uvk$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'uvk$'(X0_'A_ell2_a_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_d_prod_ell2_b_d_prod_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'comp$af' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'Complex_complex_complex_cblinfun_complex_cblinfun_fun',X1_'Complex_complex_complex_cblinfun_complex_cblinfun_fun',X0_'Complex_complex_fun'] : 3.75/1.81 ( iProver_Flat_'comp$af'(X0_'Complex_complex_complex_cblinfun_complex_cblinfun_fun',X1_'Complex_complex_complex_cblinfun_complex_cblinfun_fun',X0_'Complex_complex_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'Complex_complex_complex_cblinfun_complex_cblinfun_fun'=iProver_Domain_'Complex_complex_complex_cblinfun_complex_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uxd$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.81 ( iProver_Flat_'uxd$'(X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_a_prod_ell2_d_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$l' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'fun_app$l'(X0_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$cg' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : 3.75/1.81 ( iProver_Flat_'fun_app$cg'(X0_'D_ell2_d_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$by' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'fun_app$by'(X0_'B_ell2_b_ell2_cblinfun',X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$bu' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'fun_app$bu'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uminus$d' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : 3.75/1.81 ( iProver_Flat_'uminus$d'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uu$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'] : 3.75/1.81 ( iProver_Flat_'uu$'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'id_cblinfun$a' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'B_ell2_b_ell2_cblinfun'] : 3.75/1.81 ( iProver_Flat_'id_cblinfun$a'(X0_'B_ell2_b_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$ci' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun'] : 3.75/1.81 ( iProver_Flat_'fun_app$ci'(X0_'C_ell2_c_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uwc$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'uwc$'(X0_'D_ell2_d_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uvi$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'uvi$'(X0_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uwu$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'uwu$'(X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uut$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'uut$'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_e_cblinfun_fun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'cblinfun_compose$q' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'cblinfun_compose$q'(X0_'C_b_prod_ell2_c_b_prod_ell2_cblinfun',X1_'C_b_prod_ell2_c_b_prod_ell2_cblinfun',X2_'C_b_prod_ell2_c_b_prod_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_b_prod_ell2_c_b_prod_ell2_cblinfun'=iProver_Domain_'C_b_prod_ell2_c_b_prod_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'comp$a' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'comp$a'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'scaleC$f' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'Complex'] : 3.75/1.81 ( iProver_Flat_'scaleC$f'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'Complex') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'snd$b' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'D_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'] : 3.75/1.81 ( iProver_Flat_'snd$b'(X0_'D_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$bq' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'fun_app$bq'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'D_ell2_d_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uxz$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'Complex_complex_fun_complex_complex_fun_fun',X0_'Complex_complex_fun'] : 3.75/1.81 ( iProver_Flat_'uxz$'(X0_'Complex_complex_fun_complex_complex_fun_fun',X0_'Complex_complex_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'Complex_complex_fun_complex_complex_fun_fun'=iProver_Domain_'Complex_complex_fun_complex_complex_fun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'register_pair$p' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'register_pair$p'(X0_'D_ell2_d_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X1_'B_ell2_b_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'B_b_prod_ell2_b_b_prod_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$at' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'Complex',X0_'Complex_complex_fun',X1_'Complex'] : 3.75/1.81 ( iProver_Flat_'fun_app$at'(X0_'Complex',X0_'Complex_complex_fun',X1_'Complex') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'Complex'=iProver_Domain_'Complex'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uuo$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'uuo$'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'comp$q' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'comp$q'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'cblinfun_compose$o' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'cblinfun_compose$o'(X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun',X1_'D_c_prod_ell2_d_c_prod_ell2_cblinfun',X2_'D_c_prod_ell2_d_c_prod_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun'=iProver_Domain_'D_c_prod_ell2_d_c_prod_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$dc' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'fun_app$dc'(X0_'Complex_complex_complex_cblinfun_complex_cblinfun_cblinfun',X0_'Complex_complex_complex_cblinfun_complex_cblinfun_fun_complex_complex_complex_cblinfun_complex_cblinfun_cblinfun_fun',X0_'Complex_complex_complex_cblinfun_complex_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'Complex_complex_complex_cblinfun_complex_cblinfun_cblinfun'=iProver_Domain_'Complex_complex_complex_cblinfun_complex_cblinfun_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uvy$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'] : 3.75/1.81 ( iProver_Flat_'uvy$'(X0_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'comp$j' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'comp$j'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$cx' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'B_ell2_b_ell2_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_fun_fun',X0_'B_ell2_b_ell2_cblinfun'] : 3.75/1.81 ( iProver_Flat_'fun_app$cx'(X0_'B_ell2_b_ell2_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_fun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'B_ell2_b_ell2_fun'=iProver_Domain_'B_ell2_b_ell2_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'register_tensor$g' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'register_tensor$g'(X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'D_c_prod_ell2_d_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'register_pair$m' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'register_pair$m'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'tensor_lift$c' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'tensor_lift$c'(X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$r' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'fun_app$r'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'tensor_lift$d' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'tensor_lift$d'(X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$ba' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'B_ell2_e_cblinfun',X0_'B_ell2_e_cblinfun_b_ell2_e_cblinfun_fun',X1_'B_ell2_e_cblinfun'] : 3.75/1.81 ( iProver_Flat_'fun_app$ba'(X0_'B_ell2_e_cblinfun',X0_'B_ell2_e_cblinfun_b_ell2_e_cblinfun_fun',X1_'B_ell2_e_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'B_ell2_e_cblinfun'=iProver_Domain_'B_ell2_e_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uwg$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'uwg$'(X0_'C_ell2_c_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$cv' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : 3.75/1.81 ( iProver_Flat_'fun_app$cv'(X0_'A_ell2_a_ell2_cblinfun',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$ap' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun'] : 3.75/1.81 ( iProver_Flat_'fun_app$ap'(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'minus$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'B_ell2_e_cblinfun',X1_'B_ell2_e_cblinfun',X2_'B_ell2_e_cblinfun'] : 3.75/1.81 ( iProver_Flat_'minus$'(X0_'B_ell2_e_cblinfun',X1_'B_ell2_e_cblinfun',X2_'B_ell2_e_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'B_ell2_e_cblinfun'=iProver_Domain_'B_ell2_e_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$cz' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'B_ell2_e_fun',X0_'B_ell2_e_cblinfun_b_ell2_e_fun_fun',X0_'B_ell2_e_cblinfun'] : 3.75/1.81 ( iProver_Flat_'fun_app$cz'(X0_'B_ell2_e_fun',X0_'B_ell2_e_cblinfun_b_ell2_e_fun_fun',X0_'B_ell2_e_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'B_ell2_e_fun'=iProver_Domain_'B_ell2_e_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'tensor_lift$h' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'tensor_lift$h'(X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'id_cblinfun$f' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'B_d_prod_ell2_b_d_prod_ell2_cblinfun'] : 3.75/1.81 ( iProver_Flat_'id_cblinfun$f'(X0_'B_d_prod_ell2_b_d_prod_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'B_d_prod_ell2_b_d_prod_ell2_cblinfun'=iProver_Domain_'B_d_prod_ell2_b_d_prod_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$g' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'fun_app$g'(X0_'D_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'comp$b' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'comp$b'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'cblinfun_compose$f' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'E_b_ell2_cblinfun',X0_'B_ell2_e_cblinfun'] : 3.75/1.81 ( iProver_Flat_'cblinfun_compose$f'(X0_'B_ell2_b_ell2_cblinfun',X0_'E_b_ell2_cblinfun',X0_'B_ell2_e_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'cblinfun_compose$n' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'cblinfun_compose$n'(X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun',X1_'D_d_prod_ell2_d_d_prod_ell2_cblinfun',X2_'D_d_prod_ell2_d_d_prod_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun'=iProver_Domain_'D_d_prod_ell2_d_d_prod_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'register_tensor$k' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'register_tensor$k'(X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'=iProver_Domain_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$m' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'fun_app$m'(X0_'B_ell2_e_cblinfun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'A_c_prod_ell2_a_c_prod_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'B_ell2_e_cblinfun'=iProver_Domain_'B_ell2_e_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'id_cblinfun$n' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun'] : 3.75/1.81 ( iProver_Flat_'id_cblinfun$n'(X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_d_prod_ell2_c_d_prod_ell2_cblinfun'=iProver_Domain_'C_d_prod_ell2_c_d_prod_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'zero$b' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'Complex'] : 3.75/1.81 ( iProver_Flat_'zero$b'(X0_'Complex') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'Complex'=iProver_Domain_'Complex'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$ce' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'fun_app$ce'(X0_'B_ell2_b_ell2_cblinfun',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_a_prod_ell2_a_a_prod_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'id_cblinfun$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'A_ell2_a_ell2_cblinfun'] : 3.75/1.81 ( iProver_Flat_'id_cblinfun$'(X0_'A_ell2_a_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$bc' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'fun_app$bc'(X0_'B_ell2_e_cblinfun_b_ell2_e_cblinfun_fun',X0_'E_e_cblinfun_b_ell2_e_cblinfun_b_ell2_e_cblinfun_fun_fun',X0_'E_e_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'B_ell2_e_cblinfun_b_ell2_e_cblinfun_fun'=iProver_Domain_'B_ell2_e_cblinfun_b_ell2_e_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uwd$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'uwd$'(X0_'D_ell2_d_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$e' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'fun_app$e'(X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_d_prod_ell2_a_d_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_d_prod_ell2_a_d_prod_ell2_cblinfun'=iProver_Domain_'A_d_prod_ell2_a_d_prod_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uminus$e' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'] : 3.75/1.81 ( iProver_Flat_'uminus$e'(X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'=iProver_Domain_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'adj$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'] : 3.75/1.81 ( iProver_Flat_'adj$'(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'comp$k' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'comp$k'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uwi$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'uwi$'(X0_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'register_tensor$h' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'register_tensor$h'(X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'=iProver_Domain_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$aj' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'] : 3.75/1.81 ( iProver_Flat_'fun_app$aj'(X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uminus$a' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.81 ( iProver_Flat_'uminus$a'(X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$cw' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'B_ell2',X0_'B_ell2_b_ell2_fun',X1_'B_ell2'] : 3.75/1.81 ( iProver_Flat_'fun_app$cw'(X0_'B_ell2',X0_'B_ell2_b_ell2_fun',X1_'B_ell2') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'B_ell2'=iProver_Domain_'B_ell2'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'comp$u' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'comp$u'(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X1_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'cblinfun_compose$p' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'cblinfun_compose$p'(X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun',X1_'D_a_prod_ell2_d_a_prod_ell2_cblinfun',X2_'D_a_prod_ell2_d_a_prod_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_a_prod_ell2_d_a_prod_ell2_cblinfun'=iProver_Domain_'D_a_prod_ell2_d_a_prod_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$z' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'B_ell2_b_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun'] : 3.75/1.81 ( iProver_Flat_'fun_app$z'(X0_'B_ell2_b_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$av' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'Complex',X0_'Complex_complex_cblinfun_complex_fun',X0_'Complex_complex_cblinfun'] : 3.75/1.81 ( iProver_Flat_'fun_app$av'(X0_'Complex',X0_'Complex_complex_cblinfun_complex_fun',X0_'Complex_complex_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'Complex'=iProver_Domain_'Complex'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uxf$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.81 ( iProver_Flat_'uxf$'(X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'=iProver_Domain_'D_d_prod_ell2_d_d_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'adj$c' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'] : 3.75/1.81 ( iProver_Flat_'adj$c'(X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'=iProver_Domain_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'cblinfun_scaleC_left$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'Complex_complex_complex_cblinfun_fun'] : 3.75/1.81 ( iProver_Flat_'cblinfun_scaleC_left$'(X0_'Complex_complex_complex_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'Complex_complex_complex_cblinfun_fun'=iProver_Domain_'Complex_complex_complex_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'uvd$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_'uvd$'(X0_'A_ell2_a_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun'=iProver_Domain_'A_ell2_a_ell2_cblinfun_d_b_prod_ell2_d_b_prod_ell2_cblinfun_fun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'fun_app$n' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'B_ell2_e_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'] : 3.75/1.81 ( iProver_Flat_'fun_app$n'(X0_'B_ell2_e_cblinfun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_e_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'B_ell2_e_cblinfun'=iProver_Domain_'B_ell2_e_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'tensor_op$o' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun',X1_'D_ell2_d_ell2_cblinfun'] : 3.75/1.81 ( iProver_Flat_'tensor_op$o'(X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun',X1_'D_ell2_d_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_d_prod_ell2_d_d_prod_ell2_cblinfun'=iProver_Domain_'D_d_prod_ell2_d_d_prod_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_'zero$' 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'B_ell2_b_ell2_cblinfun'] : 3.75/1.81 ( iProver_Flat_'zero$'(X0_'B_ell2_b_ell2_cblinfun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK0 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.81 ( iProver_Flat_sK0(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK1 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.81 ( iProver_Flat_sK1(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK2 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.81 ( iProver_Flat_sK2(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK3 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK3(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK4 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK4(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK5 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : 3.75/1.81 ( iProver_Flat_sK5(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK6 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : 3.75/1.81 ( iProver_Flat_sK6(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK7 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : 3.75/1.81 ( iProver_Flat_sK7(X0_'C_ell2_c_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK8 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : 3.75/1.81 ( iProver_Flat_sK8(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK9 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK9(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK10 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK10(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK11 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK11(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK12 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK12(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK13 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK13(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK14 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK14(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK15 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK15(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK16 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK16(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK17 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK17(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK18 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK18(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK19 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK19(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK20 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK20(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK21 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK21(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK22 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( 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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK23 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'Complex',X0_'Complex_complex_fun',X1_'Complex_complex_fun'] : 3.75/1.81 ( iProver_Flat_sK23(X0_'Complex',X0_'Complex_complex_fun',X1_'Complex_complex_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'Complex'=iProver_Domain_'Complex'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK24 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'Complex',X0_'Complex_complex_fun',X1_'Complex_complex_fun'] : 3.75/1.81 ( iProver_Flat_sK24(X0_'Complex',X0_'Complex_complex_fun',X1_'Complex_complex_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'Complex'=iProver_Domain_'Complex'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK25 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK25(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK26 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK26(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK27 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK27(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK28 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK28(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK29 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK29(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK30 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'Complex',X0_'Complex_complex_complex_fun_fun'] : 3.75/1.81 ( iProver_Flat_sK30(X0_'Complex',X0_'Complex_complex_complex_fun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'Complex'=iProver_Domain_'Complex'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK31 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'Complex',X0_'Complex_complex_complex_fun_fun'] : 3.75/1.81 ( iProver_Flat_sK31(X0_'Complex',X0_'Complex_complex_complex_fun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'Complex'=iProver_Domain_'Complex'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK32 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( 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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK33 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( 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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK34 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( 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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK35 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( 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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK36 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK36(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK37 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK37(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK38 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set'] : 3.75/1.81 ( iProver_Flat_sK38(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( 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 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK39 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set'] : 3.75/1.81 ( iProver_Flat_sK39(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( 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 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK40 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK40(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK41 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK41(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK42 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_set'] : 3.75/1.81 ( iProver_Flat_sK42(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_set') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( 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 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK43 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_set'] : 3.75/1.81 ( iProver_Flat_sK43(X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'D_ell2_d_ell2_cblinfun_set') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( 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 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK44 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( 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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK45 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( 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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK46 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : 3.75/1.81 ( iProver_Flat_sK46(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK47 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : 3.75/1.81 ( iProver_Flat_sK47(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK48 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK48(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK49 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK49(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK50 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( 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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK51 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( 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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK52 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set'] : 3.75/1.81 ( iProver_Flat_sK52(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( 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 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK53 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set'] : 3.75/1.81 ( iProver_Flat_sK53(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( 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 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK54 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK54(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK55 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'Complex',X0_'Complex_complex_fun'] : 3.75/1.81 ( iProver_Flat_sK55(X0_'Complex',X0_'Complex_complex_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'Complex'=iProver_Domain_'Complex'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK56 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK56(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK57 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK57(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK58 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK58(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK59 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK59(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK60 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK60(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK61 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK61(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK62 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK62(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK63 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set'] : 3.75/1.81 ( iProver_Flat_sK63(X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( 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 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK64 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set'] : 3.75/1.81 ( iProver_Flat_sK64(X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( 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 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK65 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK65(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK66 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK66(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK67 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK67(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK68 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK68(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK69 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.81 ( iProver_Flat_sK69(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK70 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.81 ( iProver_Flat_sK70(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK71 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.81 ( iProver_Flat_sK71(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK72 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK72(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK73 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK73(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK74 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK74(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK75 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK75(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK76 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK76(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK77 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK77(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK78 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK78(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK79 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK79(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK80 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK80(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK81 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK81(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK82 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK82(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK83 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK83(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK84 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : 3.75/1.81 ( iProver_Flat_sK84(X0_'C_ell2_c_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK85 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : 3.75/1.81 ( iProver_Flat_sK85(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_c_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK86 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK86(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK87 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK87(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK88 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK88(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK89 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK89(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK90 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set'] : 3.75/1.81 ( iProver_Flat_sK90(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( 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 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK91 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set'] : 3.75/1.81 ( iProver_Flat_sK91(X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( 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 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK92 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK92(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK93 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK93(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK94 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK94(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK95 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK95(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK96 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK96(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK97 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK97(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK98 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK98(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK99 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK99(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK100 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK100(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK101 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK101(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK102 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK102(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 & 3.75/1.81 ( 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 ) 3.75/1.81 & 3.75/1.81 ( 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 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 | 3.75/1.81 ( 3.75/1.81 ( 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 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 | 3.75/1.81 ( 3.75/1.81 ( 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 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK103 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK103(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK104 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK104(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK105 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK105(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK106 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK106(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK107 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK107(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK108 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK108(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK109 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK109(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK110 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'Complex',X0_'Complex_complex_fun'] : 3.75/1.81 ( iProver_Flat_sK110(X0_'Complex',X0_'Complex_complex_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'Complex'=iProver_Domain_'Complex'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK111 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK111(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK112 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK112(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK113 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.81 ( iProver_Flat_sK113(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK114 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.81 ( iProver_Flat_sK114(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK115 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'] : 3.75/1.81 ( iProver_Flat_sK115(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK116 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : 3.75/1.81 ( iProver_Flat_sK116(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK117 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : 3.75/1.81 ( iProver_Flat_sK117(X0_'D_ell2_d_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK118 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK118(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK119 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK119(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK120 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK120(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK121 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK121(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK122 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK122(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK123 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK123(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK124 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK124(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK125 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'Complex',X0_'Complex_complex_fun'] : 3.75/1.81 ( iProver_Flat_sK125(X0_'Complex',X0_'Complex_complex_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'Complex'=iProver_Domain_'Complex'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK126 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : 3.75/1.81 ( iProver_Flat_sK126(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK127 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : 3.75/1.81 ( iProver_Flat_sK127(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK128 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK128(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK129 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK129(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK130 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK130(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK131 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK131(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK132 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_set'] : 3.75/1.81 ( iProver_Flat_sK132(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_set') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( 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 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK133 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_set'] : 3.75/1.81 ( iProver_Flat_sK133(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun_set') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( 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 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK134 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK134(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK135 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK135(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK136 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK136(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK137 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : 3.75/1.81 ( iProver_Flat_sK137(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK138 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : 3.75/1.81 ( iProver_Flat_sK138(X0_'D_ell2_d_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_d_ell2_d_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK139 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK139(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK140 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK140(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK141 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK141(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK142 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK142(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK143 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK143(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK144 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK144(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK145 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK145(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK146 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK146(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'B_ell2_b_ell2_cblinfun'=iProver_Domain_'B_ell2_b_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK147 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK147(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK148 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK148(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK149 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : 3.75/1.81 ( iProver_Flat_sK149(X0_'A_ell2_a_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK150 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : 3.75/1.81 ( iProver_Flat_sK150(X0_'C_ell2_c_ell2_cblinfun',X0_'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK151 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK151(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK152 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK152(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK153 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK153(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK154 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [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'] : 3.75/1.81 ( iProver_Flat_sK154(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') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'C_ell2_c_ell2_cblinfun'=iProver_Domain_'C_ell2_c_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK155 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : 3.75/1.81 ( iProver_Flat_sK155(X0_'D_ell2_d_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'D_ell2_d_ell2_cblinfun'=iProver_Domain_'D_ell2_d_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 3.75/1.81 %------ Positive definition of iProver_Flat_sK156 3.75/1.81 fof(lit_def,axiom, 3.75/1.81 (! [X0_'A_ell2_a_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun'] : 3.75/1.81 ( iProver_Flat_sK156(X0_'A_ell2_a_ell2_cblinfun',X0_'D_ell2_d_ell2_cblinfun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun') <=> 3.75/1.81 ( 3.75/1.81 ( 3.75/1.81 ( X0_'A_ell2_a_ell2_cblinfun'=iProver_Domain_'A_ell2_a_ell2_cblinfun'_1 ) 3.75/1.81 ) 3.75/1.81 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ) 3.75/1.81 ). 3.75/1.81 % SZS output end Model for theBenchmark.p 3.75/1.81 3.77/1.86 EOF