0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.13 % Command : /export/starexec/sandbox/solver/bin/run_iprover 120 /export/starexec/sandbox/benchmark/theBenchmark.p SAT 0.11/0.34 % Computer : n006.cluster.edu 0.11/0.34 % Model : x86_64 x86_64 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.34 % Memory : 8042.1875MB 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.34 % CPULimit : 960 0.11/0.34 % WCLimit : 120 0.11/0.34 % DateTime : Wed Jul 30 07:30:04 EDT 2025 0.11/0.34 % CPUTime : 0.18/0.45 /export/starexec/sandbox/solver/bin/SPCForProblem: Command not found. 0.18/0.46 Running model finding 0.18/0.46 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core-casc.sh -l tptp -s fnt_schedule -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.18/0.46 0.18/0.46 % ======== iProver multi-core TPTP/SMT ========= 0.18/0.46 0.18/0.46 % Detected problem language: tptp 0.18/0.47 % Checking... 0.47/1.13 % Proving... 75.38/10.84 % SZS status Started for theBenchmark.p 75.38/10.84 % SZS status Satisfiable for theBenchmark.p 75.38/10.84 75.38/10.84 %---------------- iProver v3.9.3 (pre CASC 2025/SMT-COMP 2025) ----------------% 75.38/10.84 75.38/10.84 ------ iProver source info 75.38/10.84 75.38/10.84 git: date: 2025-07-21 10:15:00 +0000 75.38/10.84 git: sha1: d7ebeb21b290b8724a1e08b4c4a533d26e8c009f 75.38/10.84 git: non_committed_changes: true 75.38/10.84 75.38/10.84 ------ Parsing... 75.38/10.84 ------ Clausification by vclausify_rel & Parsing by iProver... 75.38/10.84 ------ Proving... 75.38/10.84 ------ Problem Properties 75.38/10.84 75.38/10.84 75.38/10.84 clauses 710 75.38/10.84 conjectures 1 75.38/10.84 EPR 82 75.38/10.84 Horn 695 75.38/10.84 unary 422 75.38/10.84 binary 206 75.38/10.84 lits 1080 75.38/10.84 lits eq 668 75.38/10.84 fd_pure 0 75.38/10.84 fd_pseudo 0 75.38/10.84 fd_cond 35 75.38/10.84 fd_pseudo_cond 10 75.38/10.84 AC symbols 0 75.38/10.84 75.38/10.84 ------ Input Options Time Limit: Unbounded 75.38/10.84 75.38/10.84 75.38/10.84 ------ Finite Models: 75.38/10.84 75.38/10.84 ------ lit_activity_flag true 75.38/10.84 75.38/10.84 75.38/10.84 ------ Trying domains of size >= : 1 75.38/10.84 75.38/10.84 ------ Trying domains of size >= : 2 75.38/10.84 ------ 75.38/10.84 Current options: 75.38/10.84 ------ 75.38/10.84 75.38/10.84 ------ Input Options 75.38/10.84 75.38/10.84 --out_options all 75.38/10.84 --tptp_safe_out true 75.38/10.84 --problem_path "" 75.38/10.84 --include_path "" 75.38/10.84 --clausifier res/vclausify_rel 75.38/10.84 --clausifier_options --mode tclausify --show_fool true -t 41.66 -updr off 75.38/10.84 --stdin false 75.38/10.84 --proof_out true 75.38/10.84 --proof_dot_file "" 75.38/10.84 --proof_reduce_dot [] 75.38/10.84 --suppress_sat_res false 75.38/10.84 --suppress_unsat_res true 75.38/10.84 --stats_out none 75.38/10.84 --stats_mem false 75.38/10.84 --theory_stats_out false 75.38/10.84 75.38/10.84 ------ General Options 75.38/10.84 75.38/10.84 --fof false 75.38/10.84 --time_out_real 124.99 75.38/10.84 --time_out_virtual -1. 75.38/10.84 --rnd_seed 13 75.38/10.84 --symbol_type_check false 75.38/10.84 --clausify_out false 75.38/10.84 --sig_cnt_out false 75.38/10.84 --trig_cnt_out false 75.38/10.84 --trig_cnt_out_tolerance 1. 75.38/10.84 --trig_cnt_out_sk_spl false 75.38/10.84 --abstr_cl_out false 75.38/10.84 75.38/10.84 ------ Interactive Mode 75.38/10.84 75.38/10.84 --interactive_mode false 75.38/10.84 --external_ip_address "" 75.38/10.84 --external_port 0 75.38/10.84 75.38/10.84 ------ Global Options 75.38/10.84 75.38/10.84 --schedule none 75.38/10.84 --add_important_lit false 75.38/10.84 --prop_solver_per_cl 500 75.38/10.84 --subs_bck_mult 8 75.38/10.84 --min_unsat_core false 75.38/10.84 --soft_assumptions false 75.38/10.84 --soft_lemma_size 3 75.38/10.84 --prop_impl_unit_size 0 75.38/10.84 --prop_impl_unit [] 75.38/10.84 --share_sel_clauses true 75.38/10.84 --reset_solvers false 75.38/10.84 --bc_imp_inh [conj_cone] 75.38/10.84 --conj_cone_tolerance 3. 75.38/10.84 --extra_neg_conj none 75.38/10.84 --large_theory_mode true 75.38/10.84 --prolific_symb_bound 200 75.38/10.84 --lt_threshold 2000 75.38/10.84 --clause_weak_htbl true 75.38/10.84 --gc_record_bc_elim false 75.38/10.84 75.38/10.84 ------ Preprocessing Options 75.38/10.84 75.38/10.84 --preprocessing_flag false 75.38/10.84 --time_out_prep_mult 0.1 75.38/10.84 --splitting_mode input 75.38/10.84 --splitting_grd true 75.38/10.84 --splitting_cvd false 75.38/10.84 --splitting_cvd_svl false 75.38/10.84 --splitting_nvd 32 75.38/10.84 --sub_typing false 75.38/10.84 --prep_eq_flat_conj false 75.38/10.84 --prep_eq_flat_all_gr false 75.38/10.84 --prep_gs_sim true 75.38/10.84 --prep_unflatten true 75.38/10.84 --prep_res_sim true 75.38/10.84 --prep_sup_sim_all true 75.38/10.84 --prep_sup_sim_sup false 75.38/10.84 --prep_upred true 75.38/10.84 --prep_well_definedness true 75.38/10.84 --prep_sem_filter exhaustive 75.38/10.84 --prep_sem_filter_out false 75.38/10.84 --pred_elim true 75.38/10.84 --res_sim_input true 75.38/10.84 --eq_ax_congr_red true 75.38/10.84 --pure_diseq_elim true 75.38/10.84 --brand_transform false 75.38/10.84 --non_eq_to_eq false 75.38/10.84 --prep_def_merge true 75.38/10.84 --prep_def_merge_prop_impl false 75.38/10.84 --prep_def_merge_mbd true 75.38/10.84 --prep_def_merge_tr_red false 75.38/10.84 --prep_def_merge_tr_cl false 75.38/10.84 --smt_preprocessing false 75.38/10.84 --smt_ac_axioms fast 75.38/10.84 --preprocessed_out false 75.38/10.84 --preprocessed_stats false 75.38/10.84 75.38/10.84 ------ Abstraction refinement Options 75.38/10.84 75.38/10.84 --abstr_ref [] 75.38/10.84 --abstr_ref_prep false 75.38/10.84 --abstr_ref_until_sat false 75.38/10.84 --abstr_ref_sig_restrict funpre 75.38/10.84 --abstr_ref_af_restrict_to_split_sk false 75.38/10.84 --abstr_ref_under [] 75.38/10.84 75.38/10.84 ------ SAT Options 75.38/10.84 75.38/10.84 --sat_mode true 75.38/10.84 --sat_fm_restart_options "" 75.38/10.84 --sat_gr_def true 75.38/10.84 --sat_epr_types true 75.38/10.84 --sat_non_cyclic_types false 75.38/10.84 --sat_finite_models true 75.38/10.84 --sat_fm_lemmas false 75.38/10.84 --sat_fm_prep false 75.38/10.84 --sat_fm_uc_incr false 75.38/10.84 --sat_out_model pos 75.38/10.84 --sat_out_clauses false 75.38/10.84 75.38/10.84 ------ QBF Options 75.38/10.84 75.38/10.84 --qbf_mode false 75.38/10.84 --qbf_elim_univ false 75.38/10.84 --qbf_dom_inst none 75.38/10.84 --qbf_dom_pre_inst false 75.38/10.84 --qbf_sk_in false 75.38/10.84 --qbf_pred_elim true 75.38/10.84 --qbf_split 512 75.38/10.84 75.38/10.84 ------ BMC1 Options 75.38/10.84 75.38/10.84 --bmc1_incremental false 75.38/10.84 --bmc1_axioms reachable_all 75.38/10.84 --bmc1_min_bound 0 75.38/10.84 --bmc1_max_bound -1 75.38/10.84 --bmc1_max_bound_default -1 75.38/10.84 --bmc1_symbol_reachability true 75.38/10.84 --bmc1_property_lemmas false 75.38/10.84 --bmc1_k_induction false 75.38/10.84 --bmc1_non_equiv_states false 75.38/10.84 --bmc1_deadlock false 75.38/10.84 --bmc1_ucm false 75.38/10.84 --bmc1_add_unsat_core none 75.38/10.84 --bmc1_unsat_core_children false 75.38/10.84 --bmc1_unsat_core_extrapolate_axioms false 75.38/10.84 --bmc1_out_stat full 75.38/10.84 --bmc1_ground_init false 75.38/10.84 --bmc1_pre_inst_next_state false 75.38/10.84 --bmc1_pre_inst_state false 75.38/10.84 --bmc1_pre_inst_reach_state false 75.38/10.84 --bmc1_out_unsat_core false 75.38/10.84 --bmc1_aig_witness_out false 75.38/10.84 --bmc1_verbose false 75.38/10.84 --bmc1_dump_clauses_tptp false 75.38/10.84 --bmc1_dump_unsat_core_tptp false 75.38/10.84 --bmc1_dump_file - 75.38/10.84 --bmc1_ucm_expand_uc_limit 128 75.38/10.84 --bmc1_ucm_n_expand_iterations 6 75.38/10.84 --bmc1_ucm_extend_mode 1 75.38/10.84 --bmc1_ucm_init_mode 2 75.38/10.84 --bmc1_ucm_cone_mode none 75.38/10.84 --bmc1_ucm_reduced_relation_type 0 75.38/10.84 --bmc1_ucm_relax_model 4 75.38/10.84 --bmc1_ucm_full_tr_after_sat true 75.38/10.84 --bmc1_ucm_expand_neg_assumptions false 75.38/10.84 --bmc1_ucm_layered_model none 75.38/10.84 --bmc1_ucm_max_lemma_size 10 75.38/10.84 75.38/10.84 ------ AIG Options 75.38/10.84 75.38/10.84 --aig_mode false 75.38/10.84 75.38/10.84 ------ Instantiation Options 75.38/10.84 75.38/10.84 --instantiation_flag true 75.38/10.84 --inst_sos_flag false 75.38/10.84 --inst_sos_phase true 75.38/10.84 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb] 75.38/10.84 --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb] 75.38/10.84 --inst_lit_sel_side num_symb 75.38/10.84 --inst_solver_per_active 1400 75.38/10.84 --inst_solver_calls_frac 1. 75.38/10.84 --inst_to_smt_solver true 75.38/10.84 --inst_passive_queue_type priority_queues 75.38/10.84 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]] 75.38/10.84 --inst_passive_queues_freq [25;2] 75.38/10.84 --inst_dismatching true 75.38/10.84 --inst_eager_unprocessed_to_passive true 75.38/10.84 --inst_unprocessed_bound 1000 75.38/10.84 --inst_prop_sim_given true 75.38/10.84 --inst_prop_sim_new false 75.38/10.84 --inst_subs_new false 75.38/10.84 --inst_eq_res_simp false 75.38/10.84 --inst_subs_given false 75.38/10.84 --inst_orphan_elimination true 75.38/10.84 --inst_learning_loop_flag true 75.38/10.84 --inst_learning_start 3000 75.38/10.84 --inst_learning_factor 2 75.38/10.84 --inst_start_prop_sim_after_learn 3 75.38/10.84 --inst_sel_renew solver 75.38/10.84 --inst_lit_activity_flag true 75.38/10.84 --inst_restr_to_given false 75.38/10.84 --inst_activity_threshold 500 75.38/10.84 75.38/10.84 ------ Resolution Options 75.38/10.84 75.38/10.84 --resolution_flag false 75.38/10.84 --res_lit_sel adaptive 75.38/10.84 --res_lit_sel_side none 75.38/10.84 --res_ordering kbo 75.38/10.84 --res_to_prop_solver active 75.38/10.84 --res_prop_simpl_new false 75.38/10.84 --res_prop_simpl_given true 75.38/10.84 --res_to_smt_solver true 75.38/10.84 --res_passive_queue_type priority_queues 75.38/10.84 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]] 75.38/10.84 --res_passive_queues_freq [15;5] 75.38/10.84 --res_forward_subs full 75.38/10.84 --res_backward_subs full 75.38/10.84 --res_forward_subs_resolution true 75.38/10.84 --res_backward_subs_resolution true 75.38/10.84 --res_orphan_elimination true 75.38/10.84 --res_time_limit 300. 75.38/10.84 75.38/10.84 ------ Superposition Options 75.38/10.84 75.38/10.84 --superposition_flag false 75.38/10.84 --sup_passive_queue_type priority_queues 75.38/10.84 --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]] 75.38/10.84 --sup_passive_queues_freq [8;1;4;4] 75.38/10.84 --demod_completeness_check fast 75.38/10.84 --demod_use_ground true 75.38/10.84 --sup_unprocessed_bound 0 75.38/10.84 --sup_to_prop_solver passive 75.38/10.84 --sup_prop_simpl_new true 75.38/10.84 --sup_prop_simpl_given true 75.38/10.84 --sup_fun_splitting false 75.38/10.84 --sup_iter_deepening 2 75.38/10.84 --sup_restarts_mult 12 75.38/10.84 --sup_score sim_d_gen 75.38/10.84 --sup_share_score_frac 0.2 75.38/10.84 --sup_share_max_num_cl 500 75.38/10.84 --sup_ordering kbo 75.38/10.84 --sup_symb_ordering invfreq 75.38/10.84 --sup_term_weight default 75.38/10.84 75.38/10.84 ------ Superposition Simplification Setup 75.38/10.84 75.38/10.84 --sup_indices_passive [LightNormIndex;FwDemodIndex] 75.38/10.84 --sup_full_triv [SMTSimplify;PropSubs] 75.38/10.84 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] 75.38/10.84 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 75.38/10.84 --sup_immed_triv [] 75.38/10.84 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes] 75.38/10.84 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes] 75.38/10.84 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod] 75.38/10.84 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 75.38/10.84 --sup_input_triv [Unflattening;SMTSimplify] 75.38/10.84 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] 75.38/10.84 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 75.38/10.84 --sup_full_fixpoint true 75.38/10.84 --sup_main_fixpoint true 75.38/10.84 --sup_immed_fixpoint false 75.38/10.84 --sup_input_fixpoint true 75.38/10.84 --sup_cache_sim none 75.38/10.84 --sup_smt_interval 500 75.38/10.84 --sup_bw_gjoin_interval 0 75.38/10.84 75.38/10.84 ------ Combination Options 75.38/10.84 75.38/10.84 --comb_mode clause_based 75.38/10.84 --comb_inst_mult 5 75.38/10.84 --comb_res_mult 1 75.38/10.84 --comb_sup_mult 8 75.38/10.84 --comb_sup_deep_mult 2 75.38/10.84 75.38/10.84 ------ Debug Options 75.38/10.84 75.38/10.84 --dbg_backtrace false 75.38/10.84 --dbg_dump_prop_clauses false 75.38/10.84 --dbg_dump_prop_clauses_file - 75.38/10.84 --dbg_out_stat false 75.38/10.84 --dbg_just_parse false 75.38/10.84 75.38/10.84 75.38/10.84 75.38/10.84 75.38/10.84 ------ Proving... 75.38/10.84 75.38/10.84 75.38/10.84 % SZS status Satisfiable for theBenchmark.p 75.38/10.84 75.38/10.84 ------ Building Model...Done 75.38/10.84 75.38/10.84 %------ The model is defined over ground terms (initial term algebra). 75.38/10.84 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 75.38/10.84 %------ where \phi is a formula over the term algebra. 75.38/10.84 %------ If we have equality in the problem then it is also defined as a predicate above, 75.38/10.84 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type 75.38/10.84 %------ See help for --sat_out_model for different model outputs. 75.38/10.84 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "=" 75.38/10.84 %------ where the first argument stands for the sort ($i in the unsorted case) 75.38/10.84 % SZS output start Model for theBenchmark.p 75.38/10.84 75.38/10.84 %------ Positive definition of equality_sorted 75.38/10.84 fof(lit_def,axiom, 75.38/10.84 (! [X0_tType,X0_'A2_ell2_a2_ell2_cblinfun',X1_'A2_ell2_a2_ell2_cblinfun'] : 75.38/10.84 ( equality_sorted(X0_tType,X0_'A2_ell2_a2_ell2_cblinfun',X1_'A2_ell2_a2_ell2_cblinfun') <=> 75.38/10.84 ( 75.38/10.84 ( 75.38/10.84 ( X0_tType='B3_ell2$' ) 75.38/10.84 & 75.38/10.84 ( X0_'B3_ell2'!=iProver_Domain_'B3_ell2'_1 | X1_'B3_ell2'!=iProver_Domain_'B3_ell2'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'B3_ell2'!=iProver_Domain_'B3_ell2'_2 | X1_'B3_ell2'!=iProver_Domain_'B3_ell2'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='B1_ell2_complex_cblinfun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'B1_ell2_complex_cblinfun'!=iProver_Domain_'B1_ell2_complex_cblinfun'_1 | X1_'B1_ell2_complex_cblinfun'!=iProver_Domain_'B1_ell2_complex_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'B1_ell2_complex_cblinfun'!=iProver_Domain_'B1_ell2_complex_cblinfun'_2 | X1_'B1_ell2_complex_cblinfun'!=iProver_Domain_'B1_ell2_complex_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='B1_ell2_complex_cblinfun$' & X0_'B1_ell2_complex_cblinfun'=iProver_Domain_'B1_ell2_complex_cblinfun'_1 & X1_'B1_ell2_complex_cblinfun'=iProver_Domain_'B1_ell2_complex_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='Complex_b1_ell2_cblinfun$' & X0_'Complex_b1_ell2_cblinfun'=iProver_Domain_'Complex_b1_ell2_cblinfun'_1 & X1_'Complex_b1_ell2_cblinfun'=iProver_Domain_'Complex_b1_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='Complex_b1_ell2_cblinfun$' & X0_'Complex_b1_ell2_cblinfun'=iProver_Domain_'Complex_b1_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X1_'Complex_b1_ell2_cblinfun'!=iProver_Domain_'Complex_b1_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A2_ell2_b2_ell2_cblinfun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'A2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_1 | X1_'A2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'A2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_2 | X1_'A2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A2_ell2_a2_ell2_cblinfun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 | X1_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_2 | X1_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A2_ell2_a2_ell2_cblinfun$' & X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 & X1_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='B2_ell2_b2_ell2_cblinfun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 | X1_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_2 | X1_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='B2_ell2_b2_ell2_cblinfun$' & X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 & X1_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A2_ell2$' ) 75.38/10.84 & 75.38/10.84 ( X0_'A2_ell2'!=iProver_Domain_'A2_ell2'_1 | X1_'A2_ell2'!=iProver_Domain_'A2_ell2'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'A2_ell2'!=iProver_Domain_'A2_ell2'_2 | X1_'A2_ell2'!=iProver_Domain_'A2_ell2'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A3_ell2_a3_ell2_cblinfun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'A3_ell2_a3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 | X1_'A3_ell2_a3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'A3_ell2_a3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_2 | X1_'A3_ell2_a3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A3_ell2_a3_ell2_cblinfun$' & X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 & X1_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A3_ell2_a3_ell2_cblinfun$' & X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X1_'A3_ell2_a3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='Unit_ell2_a3_ell2_cblinfun$' & X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 & X1_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun'_1 | X1_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun'_2 | X1_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun'!=iProver_Domain_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun'_1 | X1_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun'!=iProver_Domain_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun'!=iProver_Domain_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun'_2 | X1_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun'!=iProver_Domain_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='B2_b1_prod_ell2_b2_b1_prod_ell2_cblinfun$' & X0_'B2_b1_prod_ell2_b2_b1_prod_ell2_cblinfun'=iProver_Domain_'B2_b1_prod_ell2_b2_b1_prod_ell2_cblinfun'_1 & X1_'B2_b1_prod_ell2_b2_b1_prod_ell2_cblinfun'=iProver_Domain_'B2_b1_prod_ell2_b2_b1_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.84 & 75.38/10.84 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 | X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 | X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun$' & X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 & X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun$' & X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 | X1_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 | X1_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 | X1_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 | X1_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 | X1_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 | X1_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.84 & 75.38/10.84 ( X1_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.84 & 75.38/10.84 ( X1_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun$' & X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X1_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun$' & X1_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 | X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 | X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.84 & 75.38/10.84 ( X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun$' & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun$' & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun$' & X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A1_a2_a3_prod_prod_ell2$' ) 75.38/10.84 & 75.38/10.84 ( X0_'A1_a2_a3_prod_prod_ell2'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 | X1_'A1_a2_a3_prod_prod_ell2'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'A1_a2_a3_prod_prod_ell2'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_2 | X1_'A1_a2_a3_prod_prod_ell2'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) 75.38/10.84 & 75.38/10.84 ( X1_'A1_a2_a3_prod_prod_ell2'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A1_a2_a3_prod_prod_ell2$' & X0_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 & X1_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A1_ell2$' ) 75.38/10.84 & 75.38/10.84 ( X0_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 | X1_'A1_ell2'!=iProver_Domain_'A1_ell2'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'A1_ell2'!=iProver_Domain_'A1_ell2'_2 | X1_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='Unit_ell2_a1_ell2_cblinfun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'Unit_ell2_a1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 | X1_'Unit_ell2_a1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'Unit_ell2_a1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_2 | X1_'Unit_ell2_a1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='B1_b2_prod_ell2_b1_b2_prod_ell2_fun$' & X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun'_1 & X1_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='Unit_ell2_unit_ell2_cblinfun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'Unit_ell2_unit_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 | X1_'Unit_ell2_unit_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'Unit_ell2_unit_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_2 | X1_'Unit_ell2_unit_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 | X1_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 | X1_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun$' & X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 & X1_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='Unit_b2_unit_prod_prod_ell2$' & X0_'Unit_b2_unit_prod_prod_ell2'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2'_1 & X1_'Unit_b2_unit_prod_prod_ell2'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='B1_ell2$' ) 75.38/10.84 & 75.38/10.84 ( X0_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 | X1_'B1_ell2'!=iProver_Domain_'B1_ell2'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'B1_ell2'!=iProver_Domain_'B1_ell2'_2 | X1_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='B2_ell2$' ) 75.38/10.84 & 75.38/10.84 ( X0_'B2_ell2'!=iProver_Domain_'B2_ell2'_1 | X1_'B2_ell2'!=iProver_Domain_'B2_ell2'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'B2_ell2'!=iProver_Domain_'B2_ell2'_2 | X1_'B2_ell2'!=iProver_Domain_'B2_ell2'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='B2_unit_prod_ell2$' & X0_'B2_unit_prod_ell2'=iProver_Domain_'B2_unit_prod_ell2'_1 & X1_'B2_unit_prod_ell2'=iProver_Domain_'B2_unit_prod_ell2'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 | X1_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 | X1_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun$' & X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 & X1_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun$' & X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X1_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun$' & X1_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 | X1_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_2 | X1_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun$' & X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X1_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A3_ell2_b3_ell2_cblinfun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'A3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 | X1_'A3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'A3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_2 | X1_'A3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A3_ell2_b3_ell2_cblinfun$' & X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 & X1_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A3_ell2_b3_ell2_cblinfun$' & X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X1_'A3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A1_ell2_a1_ell2_cblinfun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 | X1_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_2 | X1_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A1_ell2_a1_ell2_cblinfun$' & X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 & X1_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A1_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun$' & X0_'A1_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X1_'A1_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 | X1_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_2 | X1_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='Unit_ell2_b1_ell2_cblinfun$' & X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 & X1_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A3_ell2$' ) 75.38/10.84 & 75.38/10.84 ( X0_'A3_ell2'!=iProver_Domain_'A3_ell2'_1 | X1_'A3_ell2'!=iProver_Domain_'A3_ell2'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'A3_ell2'!=iProver_Domain_'A3_ell2'_2 | X1_'A3_ell2'!=iProver_Domain_'A3_ell2'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A3_ell2$' & X0_'A3_ell2'=iProver_Domain_'A3_ell2'_1 & X1_'A3_ell2'=iProver_Domain_'A3_ell2'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A1_a1_a3_prod_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun$' & X0_'A1_a1_a3_prod_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a3_prod_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun'_1 & X1_'A1_a1_a3_prod_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a3_prod_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='B1_b2_prod_a2_prod_ell2_b1_b2_prod_a2_prod_ell2_cblinfun$' & X0_'B1_b2_prod_a2_prod_ell2_b1_b2_prod_a2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_a2_prod_ell2_b1_b2_prod_a2_prod_ell2_cblinfun'_1 & X1_'B1_b2_prod_a2_prod_ell2_b1_b2_prod_a2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_a2_prod_ell2_b1_b2_prod_a2_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A1_ell2_b1_ell2_cblinfun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 | X1_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_2 | X1_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A1_ell2_b1_ell2_cblinfun$' & X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X1_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='B1_ell2_b1_ell2_cblinfun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.84 & 75.38/10.84 ( X0_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 | X1_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 | X1_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='B1_ell2_b1_ell2_cblinfun$' & X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 & X1_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='B1_ell2_b1_ell2_cblinfun$' & X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X1_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.84 & 75.38/10.84 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 | X1_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 | X1_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun$' & X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X1_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun$' & X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X1_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun$' & X1_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun$' & X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'_1 & X1_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A2_ell2_a2_ell2_fun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'A2_ell2_a2_ell2_fun'!=iProver_Domain_'A2_ell2_a2_ell2_fun'_1 | X1_'A2_ell2_a2_ell2_fun'!=iProver_Domain_'A2_ell2_a2_ell2_fun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'A2_ell2_a2_ell2_fun'!=iProver_Domain_'A2_ell2_a2_ell2_fun'_2 | X1_'A2_ell2_a2_ell2_fun'!=iProver_Domain_'A2_ell2_a2_ell2_fun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 | X1_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 | X1_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun$' & X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 & X1_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun$' & X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'_1 & X1_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='B2_ell2_b2_ell2_fun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'B2_ell2_b2_ell2_fun'!=iProver_Domain_'B2_ell2_b2_ell2_fun'_1 | X1_'B2_ell2_b2_ell2_fun'!=iProver_Domain_'B2_ell2_b2_ell2_fun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'B2_ell2_b2_ell2_fun'!=iProver_Domain_'B2_ell2_b2_ell2_fun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'B2_ell2_b2_ell2_fun'!=iProver_Domain_'B2_ell2_b2_ell2_fun'_2 | X1_'B2_ell2_b2_ell2_fun'!=iProver_Domain_'B2_ell2_b2_ell2_fun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='B2_ell2_b2_ell2_fun$' & X0_'B2_ell2_b2_ell2_fun'=iProver_Domain_'B2_ell2_b2_ell2_fun'_2 ) 75.38/10.84 & 75.38/10.84 ( X1_'B2_ell2_b2_ell2_fun'!=iProver_Domain_'B2_ell2_b2_ell2_fun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun$' & X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 & X1_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun$' & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 & X1_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='B2_b2_prod_ell2_b2_b2_prod_ell2_cblinfun$' & X0_'B2_b2_prod_ell2_b2_b2_prod_ell2_cblinfun'=iProver_Domain_'B2_b2_prod_ell2_b2_b2_prod_ell2_cblinfun'_1 & X1_'B2_b2_prod_ell2_b2_b2_prod_ell2_cblinfun'=iProver_Domain_'B2_b2_prod_ell2_b2_b2_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 | X1_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 | X1_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun$' & X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 & X1_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A2_b2_prod_ell2_a2_b2_prod_ell2_cblinfun$' & X0_'A2_b2_prod_ell2_a2_b2_prod_ell2_cblinfun'=iProver_Domain_'A2_b2_prod_ell2_a2_b2_prod_ell2_cblinfun'_1 & X1_'A2_b2_prod_ell2_a2_b2_prod_ell2_cblinfun'=iProver_Domain_'A2_b2_prod_ell2_a2_b2_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 | X1_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 | X1_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun$' & X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X1_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun$' & X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X1_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A3_a2_prod_ell2_a3_a2_prod_ell2_cblinfun$' & X0_'A3_a2_prod_ell2_a3_a2_prod_ell2_cblinfun'=iProver_Domain_'A3_a2_prod_ell2_a3_a2_prod_ell2_cblinfun'_1 & X1_'A3_a2_prod_ell2_a3_a2_prod_ell2_cblinfun'=iProver_Domain_'A3_a2_prod_ell2_a3_a2_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun$' & X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 & X1_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='B1_ell2_a1_ell2_cblinfun$' & X0_'B1_ell2_a1_ell2_cblinfun'=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_1 & X1_'B1_ell2_a1_ell2_cblinfun'=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 | X1_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 | X1_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'_1 | X1_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'_2 | X1_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A1_a2_prod_a3_prod_ell2$' & X0_'A1_a2_prod_a3_prod_ell2'=iProver_Domain_'A1_a2_prod_a3_prod_ell2'_1 & X1_'A1_a2_prod_a3_prod_ell2'=iProver_Domain_'A1_a2_prod_a3_prod_ell2'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_cblinfun$' & X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_cblinfun'_1 & X1_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='Complex_a1_ell2_cblinfun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'Complex_a1_ell2_cblinfun'!=iProver_Domain_'Complex_a1_ell2_cblinfun'_1 | X1_'Complex_a1_ell2_cblinfun'!=iProver_Domain_'Complex_a1_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'Complex_a1_ell2_cblinfun'!=iProver_Domain_'Complex_a1_ell2_cblinfun'_2 | X1_'Complex_a1_ell2_cblinfun'!=iProver_Domain_'Complex_a1_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='Complex_a1_ell2_cblinfun$' & X0_'Complex_a1_ell2_cblinfun'=iProver_Domain_'Complex_a1_ell2_cblinfun'_1 & X1_'Complex_a1_ell2_cblinfun'=iProver_Domain_'Complex_a1_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='B1_b2_b3_prod_prod_ell2$' ) 75.38/10.84 & 75.38/10.84 ( X0_'B1_b2_b3_prod_prod_ell2'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2'_1 | X1_'B1_b2_b3_prod_prod_ell2'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'B1_b2_b3_prod_prod_ell2'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2'_2 | X1_'B1_b2_b3_prod_prod_ell2'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='B1_b2_b3_prod_prod_ell2$' & X0_'B1_b2_b3_prod_prod_ell2'=iProver_Domain_'B1_b2_b3_prod_prod_ell2'_1 & X1_'B1_b2_b3_prod_prod_ell2'=iProver_Domain_'B1_b2_b3_prod_prod_ell2'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'_1 | X1_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'_2 | X1_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_cblinfun$' & X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_cblinfun'_1 & X1_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun$' & X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 & X1_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun'_1 | X1_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun'_2 | X1_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun$' & X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X1_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A1_a2_prod_ell2_a1_a2_prod_ell2_fun$' & X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun'_1 & X1_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A3_ell2_complex_cblinfun$' & X0_'A3_ell2_complex_cblinfun'=iProver_Domain_'A3_ell2_complex_cblinfun'_1 & X1_'A3_ell2_complex_cblinfun'=iProver_Domain_'A3_ell2_complex_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A3_ell2_complex_cblinfun$' & X0_'A3_ell2_complex_cblinfun'=iProver_Domain_'A3_ell2_complex_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X1_'A3_ell2_complex_cblinfun'!=iProver_Domain_'A3_ell2_complex_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_fun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_fun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_fun'_1 | X1_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_fun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_fun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_fun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_fun'_2 | X1_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_fun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_fun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 | X1_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_2 | X1_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun$' & X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 & X1_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='Unit_b2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun$' & X0_'Unit_b2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 & X1_'Unit_b2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 | X1_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 | X1_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun$' & X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 & X1_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun$' & X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X1_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun$' & X1_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='Complex_a3_ell2_cblinfun$' ) 75.38/10.84 & 75.38/10.84 ( X0_'Complex_a3_ell2_cblinfun'!=iProver_Domain_'Complex_a3_ell2_cblinfun'_1 | X1_'Complex_a3_ell2_cblinfun'!=iProver_Domain_'Complex_a3_ell2_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X0_'Complex_a3_ell2_cblinfun'!=iProver_Domain_'Complex_a3_ell2_cblinfun'_2 | X1_'Complex_a3_ell2_cblinfun'!=iProver_Domain_'Complex_a3_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='Complex_a3_ell2_cblinfun$' & X0_'Complex_a3_ell2_cblinfun'=iProver_Domain_'Complex_a3_ell2_cblinfun'_1 & X1_'Complex_a3_ell2_cblinfun'=iProver_Domain_'Complex_a3_ell2_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A1_ell2_complex_cblinfun$' & X0_'A1_ell2_complex_cblinfun'=iProver_Domain_'A1_ell2_complex_cblinfun'_1 & X1_'A1_ell2_complex_cblinfun'=iProver_Domain_'A1_ell2_complex_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.84 75.38/10.84 | 75.38/10.84 ( 75.38/10.84 ( X0_tType='A1_ell2_complex_cblinfun$' & X0_'A1_ell2_complex_cblinfun'=iProver_Domain_'A1_ell2_complex_cblinfun'_2 ) 75.38/10.84 & 75.38/10.84 ( X1_'A1_ell2_complex_cblinfun'!=iProver_Domain_'A1_ell2_complex_cblinfun'_1 ) 75.38/10.84 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun$' & X0_'A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun'=iProver_Domain_'A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun'_1 & X1_'A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun'=iProver_Domain_'A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun$' & X1_'A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun'=iProver_Domain_'A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun'_2 ) 75.38/10.85 & 75.38/10.85 ( X0_'A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun'!=iProver_Domain_'A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='A3_a3_prod_ell2_b3_b3_prod_ell2_cblinfun$' & X0_'A3_a3_prod_ell2_b3_b3_prod_ell2_cblinfun'=iProver_Domain_'A3_a3_prod_ell2_b3_b3_prod_ell2_cblinfun'_1 & X1_'A3_a3_prod_ell2_b3_b3_prod_ell2_cblinfun'=iProver_Domain_'A3_a3_prod_ell2_b3_b3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_fun$' & X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_fun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_fun'_1 & X1_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_fun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_fun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun$' ) 75.38/10.85 & 75.38/10.85 ( X0_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun'_1 | X1_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun'_2 ) 75.38/10.85 & 75.38/10.85 ( X1_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun$' & X0_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun'_1 & X1_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun$' & X0_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 & X1_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun$' & X0_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_2 ) 75.38/10.85 & 75.38/10.85 ( X1_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='Unit_ell2_b3_ell2_cblinfun$' & X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 & X1_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='A2_a3_prod_ell2_a2_a3_prod_ell2_fun$' ) 75.38/10.85 & 75.38/10.85 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_fun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_fun'_1 | X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_fun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_fun'_2 ) 75.38/10.85 & 75.38/10.85 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_fun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_fun'_2 | X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_fun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_fun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='A2_a3_prod_ell2$' ) 75.38/10.85 & 75.38/10.85 ( X0_'A2_a3_prod_ell2'!=iProver_Domain_'A2_a3_prod_ell2'_1 | X1_'A2_a3_prod_ell2'!=iProver_Domain_'A2_a3_prod_ell2'_2 ) 75.38/10.85 & 75.38/10.85 ( X0_'A2_a3_prod_ell2'!=iProver_Domain_'A2_a3_prod_ell2'_2 | X1_'A2_a3_prod_ell2'!=iProver_Domain_'A2_a3_prod_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='A2_a3_prod_ell2$' & X0_'A2_a3_prod_ell2'=iProver_Domain_'A2_a3_prod_ell2'_1 & X1_'A2_a3_prod_ell2'=iProver_Domain_'A2_a3_prod_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_fun$' ) 75.38/10.85 & 75.38/10.85 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'!=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'_1 | X1_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'!=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'_2 ) 75.38/10.85 & 75.38/10.85 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'!=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'_2 | X1_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'!=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='B1_b2_prod_b3_prod_ell2$' & X0_'B1_b2_prod_b3_prod_ell2'=iProver_Domain_'B1_b2_prod_b3_prod_ell2'_1 & X1_'B1_b2_prod_b3_prod_ell2'=iProver_Domain_'B1_b2_prod_b3_prod_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_fun$' & X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_fun'_1 & X1_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_fun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun$' & X0_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'_1 & X1_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun$' ) 75.38/10.85 & 75.38/10.85 ( X0_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun'_1 | X1_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun'_2 ) 75.38/10.85 & 75.38/10.85 ( X0_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun'_2 | X1_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_fun$' & X0_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_fun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_fun'_1 & X1_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_fun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_fun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='A1_a1_a2_prod_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun$' & X0_'A1_a1_a2_prod_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a2_prod_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun'_2 ) 75.38/10.85 & 75.38/10.85 ( X1_'A1_a1_a2_prod_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a1_a2_prod_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='B1_b2_prod_b2_prod_ell2_b1_b2_prod_b2_prod_ell2_cblinfun$' & X0_'B1_b2_prod_b2_prod_ell2_b1_b2_prod_b2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b2_prod_ell2_b1_b2_prod_b2_prod_ell2_cblinfun'_1 & X1_'B1_b2_prod_b2_prod_ell2_b1_b2_prod_b2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b2_prod_ell2_b1_b2_prod_b2_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun$' & X0_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun'=iProver_Domain_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun'_1 & X1_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun'=iProver_Domain_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun$' & X0_'B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun'=iProver_Domain_'B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun'_1 & X1_'B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun'=iProver_Domain_'B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='A3_b1_prod_ell2_b3_b1_prod_ell2_cblinfun$' & X0_'A3_b1_prod_ell2_b3_b1_prod_ell2_cblinfun'=iProver_Domain_'A3_b1_prod_ell2_b3_b1_prod_ell2_cblinfun'_1 & X1_'A3_b1_prod_ell2_b3_b1_prod_ell2_cblinfun'=iProver_Domain_'A3_b1_prod_ell2_b3_b1_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='A3_a1_prod_ell2_b3_a1_prod_ell2_cblinfun$' & X0_'A3_a1_prod_ell2_b3_a1_prod_ell2_cblinfun'=iProver_Domain_'A3_a1_prod_ell2_b3_a1_prod_ell2_cblinfun'_1 & X1_'A3_a1_prod_ell2_b3_a1_prod_ell2_cblinfun'=iProver_Domain_'A3_a1_prod_ell2_b3_a1_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='B1_b2_prod_ell2$' ) 75.38/10.85 & 75.38/10.85 ( X0_'B1_b2_prod_ell2'!=iProver_Domain_'B1_b2_prod_ell2'_1 | X1_'B1_b2_prod_ell2'!=iProver_Domain_'B1_b2_prod_ell2'_2 ) 75.38/10.85 & 75.38/10.85 ( X0_'B1_b2_prod_ell2'!=iProver_Domain_'B1_b2_prod_ell2'_2 | X1_'B1_b2_prod_ell2'!=iProver_Domain_'B1_b2_prod_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun$' & X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'_1 & X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun$' ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 | X1_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_2 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_2 | X1_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun$' & X0_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 & X1_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_fun$' & X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_fun'_1 & X1_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_fun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='A1_a2_prod_ell2$' ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a2_prod_ell2'!=iProver_Domain_'A1_a2_prod_ell2'_1 | X1_'A1_a2_prod_ell2'!=iProver_Domain_'A1_a2_prod_ell2'_2 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a2_prod_ell2'!=iProver_Domain_'A1_a2_prod_ell2'_2 | X1_'A1_a2_prod_ell2'!=iProver_Domain_'A1_a2_prod_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_cblinfun$' & X0_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_cblinfun'_1 & X1_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='A1_a1_a3_prod_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun$' & X0_'A1_a1_a3_prod_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a3_prod_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.85 & 75.38/10.85 ( X1_'A1_a1_a3_prod_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a1_a3_prod_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun$' & X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 & X1_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun$' & X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 ) 75.38/10.85 & 75.38/10.85 ( X1_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_cblinfun$' ) 75.38/10.85 & 75.38/10.85 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_cblinfun'_1 | X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_cblinfun'_2 ) 75.38/10.85 & 75.38/10.85 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_cblinfun'_2 | X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='B3_ell2_a1_ell2_cblinfun$' & X0_'B3_ell2_a1_ell2_cblinfun'=iProver_Domain_'B3_ell2_a1_ell2_cblinfun'_1 & X1_'B3_ell2_a1_ell2_cblinfun'=iProver_Domain_'B3_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='B2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun$' ) 75.38/10.85 & 75.38/10.85 ( X0_'B2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'!=iProver_Domain_'B2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'_1 | X1_'B2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'!=iProver_Domain_'B2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'_2 ) 75.38/10.85 & 75.38/10.85 ( X0_'B2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'!=iProver_Domain_'B2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'_2 | X1_'B2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'!=iProver_Domain_'B2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='A1_a1_a1_prod_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun$' ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a1_a1_prod_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a1_a1_prod_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun'_1 | X1_'A1_a1_a1_prod_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a1_a1_prod_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun'_2 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a1_a1_prod_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a1_a1_prod_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun'_2 | X1_'A1_a1_a1_prod_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a1_a1_prod_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_fun$' & X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_fun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_fun'_1 & X1_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_fun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_fun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='B2_a2_prod_ell2_b2_a2_prod_ell2_cblinfun$' & X0_'B2_a2_prod_ell2_b2_a2_prod_ell2_cblinfun'=iProver_Domain_'B2_a2_prod_ell2_b2_a2_prod_ell2_cblinfun'_1 & X1_'B2_a2_prod_ell2_b2_a2_prod_ell2_cblinfun'=iProver_Domain_'B2_a2_prod_ell2_b2_a2_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='A1_a1_a1_prod_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun$' & X0_'A1_a1_a1_prod_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a1_prod_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun'_1 & X1_'A1_a1_a1_prod_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a1_prod_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_fun$' ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_fun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_fun'_1 | X1_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_fun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_fun'_2 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_fun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_fun'_2 | X1_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_fun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_fun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='A2_a1_prod_ell2_a2_a1_prod_ell2_cblinfun$' ) 75.38/10.85 & 75.38/10.85 ( X0_'A2_a1_prod_ell2_a2_a1_prod_ell2_cblinfun'!=iProver_Domain_'A2_a1_prod_ell2_a2_a1_prod_ell2_cblinfun'_1 | X1_'A2_a1_prod_ell2_a2_a1_prod_ell2_cblinfun'!=iProver_Domain_'A2_a1_prod_ell2_a2_a1_prod_ell2_cblinfun'_2 ) 75.38/10.85 & 75.38/10.85 ( X0_'A2_a1_prod_ell2_a2_a1_prod_ell2_cblinfun'!=iProver_Domain_'A2_a1_prod_ell2_a2_a1_prod_ell2_cblinfun'_2 | X1_'A2_a1_prod_ell2_a2_a1_prod_ell2_cblinfun'!=iProver_Domain_'A2_a1_prod_ell2_a2_a1_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_tType='A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_cblinfun$' & X0_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_cblinfun'_1 & X1_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'isometry$ae' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A3_ell2_a3_ell2_cblinfun'] : 75.38/10.85 ( 'isometry$ae'(X0_'A3_ell2_a3_ell2_cblinfun') <=> 75.38/10.85 $true 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'cbilinear$d' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun_fun'] : 75.38/10.85 ( 'cbilinear$d'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun_fun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun_fun'='cblinfun_compose$ao' ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'heterogenous_same_type_cblinfun$a' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_ell2_itself',X0_'A1_a2_prod_ell2_itself'] : 75.38/10.85 ( 'heterogenous_same_type_cblinfun$a'(X0_'A2_ell2_itself',X0_'A1_a2_prod_ell2_itself') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'cbilinear$f' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_ell2_a2_ell2_cblinfun_unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun_fun'] : 75.38/10.85 ( 'cbilinear$f'(X0_'A2_ell2_a2_ell2_cblinfun_unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun_fun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A2_ell2_a2_ell2_cblinfun_unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun_fun'='tensor_op$g' ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'iso_cblinfun$i' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_ell2_a1_a2_prod_ell2_cblinfun'] : 75.38/10.85 ( 'iso_cblinfun$i'(X0_'A2_ell2_a1_a2_prod_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$ai' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B2_ell2_b2_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$ai'(X0_'B2_ell2_b2_ell2_cblinfun') <=> 75.38/10.85 $true 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'isometry$u' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_ell2_a1_ell2_cblinfun'] : 75.38/10.85 ( 'isometry$u'(X0_'A1_ell2_a1_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'iso_cblinfun$g' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_ell2_a2_a3_prod_ell2_cblinfun'] : 75.38/10.85 ( 'iso_cblinfun$g'(X0_'A2_ell2_a2_a3_prod_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$l' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_ell2_complex_cblinfun'] : 75.38/10.85 ( 'unitary$l'(X0_'B1_ell2_complex_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$h' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_ell2_b1_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$h'(X0_'A1_ell2_b1_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'isometry$b' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( 'isometry$b'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'iso_cblinfun$b' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B2_ell2_a2_ell2_cblinfun'] : 75.38/10.85 ( 'iso_cblinfun$b'(X0_'B2_ell2_a2_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'less_eq$f' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B2_ell2_b2_ell2_cblinfun',X1_'B2_ell2_b2_ell2_cblinfun'] : 75.38/10.85 ( 'less_eq$f'(X0_'B2_ell2_b2_ell2_cblinfun',X1_'B2_ell2_b2_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X1_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$ac' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_ell2_b1_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$ac'(X0_'B1_ell2_b1_ell2_cblinfun') <=> 75.38/10.85 $true 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$m' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A3_ell2_complex_cblinfun'] : 75.38/10.85 ( 'unitary$m'(X0_'A3_ell2_complex_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'iso_cblinfun$e' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_ell2_b1_b2_prod_ell2_cblinfun'] : 75.38/10.85 ( 'iso_cblinfun$e'(X0_'A2_ell2_b1_b2_prod_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'iso_cblinfun$n' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Complex_b1_ell2_cblinfun'] : 75.38/10.85 ( 'iso_cblinfun$n'(X0_'Complex_b1_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'iso_cblinfun$a' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_ell2_b2_ell2_cblinfun'] : 75.38/10.85 ( 'iso_cblinfun$a'(X0_'A2_ell2_b2_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$v' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$v'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$e' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Complex_a1_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$e'(X0_'Complex_a1_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$a' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$a'(X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$o' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_ell2_a1_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$o'(X0_'B1_ell2_a1_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$y' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$y'(X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.85 $true 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'less_eq$g' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_ell2_a2_ell2_cblinfun',X1_'A2_ell2_a2_ell2_cblinfun'] : 75.38/10.85 ( 'less_eq$g'(X0_'A2_ell2_a2_ell2_cblinfun',X1_'A2_ell2_a2_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$i' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_ell2_a1_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$i'(X0_'A1_ell2_a1_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'iso_cblinfun$o' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Complex_a3_ell2_cblinfun'] : 75.38/10.85 ( 'iso_cblinfun$o'(X0_'Complex_a3_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$p' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B2_ell2_a2_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$p'(X0_'B2_ell2_a2_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$f' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_ell2_b2_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$f'(X0_'A2_ell2_b2_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$aj' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_b2_prod_ell2_b2_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$aj'(X0_'B1_b2_prod_ell2_b2_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'iso_cblinfun$d' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B2_ell2_b1_b2_prod_ell2_cblinfun'] : 75.38/10.85 ( 'iso_cblinfun$d'(X0_'B2_ell2_b1_b2_prod_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$t' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$t'(X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'isometry$d' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Complex_a3_ell2_cblinfun'] : 75.38/10.85 ( 'isometry$d'(X0_'Complex_a3_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'less_eq$' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X1_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( 'less_eq$'(X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X1_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X1_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$g' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_ell2_a2_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$g'(X0_'A2_ell2_a2_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'iso_cblinfun$f' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B2_ell2_a2_a3_prod_ell2_cblinfun'] : 75.38/10.85 ( 'iso_cblinfun$f'(X0_'B2_ell2_a2_a3_prod_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'isometry$p' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( 'isometry$p'(X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$n' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_ell2_complex_cblinfun'] : 75.38/10.85 ( 'unitary$n'(X0_'A1_ell2_complex_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'heterogenous_same_type_cblinfun$f' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_a3_prod_ell2_itself',X1_'A2_a3_prod_ell2_itself'] : 75.38/10.85 ( 'heterogenous_same_type_cblinfun$f'(X0_'A2_a3_prod_ell2_itself',X1_'A2_a3_prod_ell2_itself') <=> 75.38/10.85 $true 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$u' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$u'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$j' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$j'(X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'isometry$r' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( 'isometry$r'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$w' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$w'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$al' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_a3_prod_ell2_b2_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$al'(X0_'A2_a3_prod_ell2_b2_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$ae' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$ae'(X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'is_Proj$' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_ell2_a1_ell2_cblinfun'] : 75.38/10.85 ( 'is_Proj$'(X0_'A1_ell2_a1_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$am' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_a3_prod_ell2_a2_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$am'(X0_'A2_a3_prod_ell2_a2_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'cbilinear$a' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun_fun'] : 75.38/10.85 ( 'cbilinear$a'(X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun_fun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun_fun'='cblinfun_compose$ak' ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'iso_cblinfun$p' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Complex_a1_ell2_cblinfun'] : 75.38/10.85 ( 'iso_cblinfun$p'(X0_'Complex_a1_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'isometry$a' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( 'isometry$a'(X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'cbilinear$' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun'] : 75.38/10.85 ( 'cbilinear$'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun'='cblinfun_compose$a' ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'cbilinear$h' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_ell2_b1_ell2_cblinfun_a2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun'] : 75.38/10.85 ( 'cbilinear$h'(X0_'A1_ell2_b1_ell2_cblinfun_a2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_ell2_b1_ell2_cblinfun_a2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun'='tensor_op$w' ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'isometry$m' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_ell2_b2_ell2_cblinfun'] : 75.38/10.85 ( 'isometry$m'(X0_'A2_ell2_b2_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$aa' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Complex_b3_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$aa'(X0_'Complex_b3_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$ao' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_prod_ell2_a2_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$ao'(X0_'A1_a2_prod_ell2_a2_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$an' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_prod_ell2_b2_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$an'(X0_'A1_a2_prod_ell2_b2_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$ar' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$ar'(X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'cbilinear$i' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_ell2_a1_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun_fun'] : 75.38/10.85 ( 'cbilinear$i'(X0_'A1_ell2_a1_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun_fun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_ell2_a1_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun_fun'='tensor_op$b' ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$ah' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$ah'(X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun') <=> 75.38/10.85 $true 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'isometry$g' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A3_ell2_complex_cblinfun'] : 75.38/10.85 ( 'isometry$g'(X0_'A3_ell2_complex_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'iso_cblinfun$k' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A3_ell2_complex_cblinfun'] : 75.38/10.85 ( 'iso_cblinfun$k'(X0_'A3_ell2_complex_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'isometry$c' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Complex_b1_ell2_cblinfun'] : 75.38/10.85 ( 'isometry$c'(X0_'Complex_b1_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'less_eq$c' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun',X1_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'] : 75.38/10.85 ( 'less_eq$c'(X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun',X1_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$ak' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_b2_prod_ell2_a2_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$ak'(X0_'B1_b2_prod_ell2_a2_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'less_eq$e' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun',X1_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'] : 75.38/10.85 ( 'less_eq$e'(X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun',X1_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$k' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$k'(X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'isometry$n' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_ell2_a2_ell2_cblinfun'] : 75.38/10.85 ( 'isometry$n'(X0_'A2_ell2_a2_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'heterogenous_same_type_cblinfun$g' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_b2_prod_ell2_itself',X1_'B1_b2_prod_ell2_itself'] : 75.38/10.85 ( 'heterogenous_same_type_cblinfun$g'(X0_'B1_b2_prod_ell2_itself',X1_'B1_b2_prod_ell2_itself') <=> 75.38/10.85 $true 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'cbilinear$b' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun_fun'] : 75.38/10.85 ( 'cbilinear$b'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun_fun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun_fun'='cblinfun_compose$am' ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'iso_cblinfun$m' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( 'iso_cblinfun$m'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'less_eq$a' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X1_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( 'less_eq$a'(X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X1_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$c' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Complex_b1_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$c'(X0_'Complex_b1_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'less_eq$d' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'] : 75.38/10.85 ( 'less_eq$d'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$'(X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'heterogenous_same_type_cblinfun$e' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_prod_ell2_itself',X1_'A1_a2_prod_ell2_itself'] : 75.38/10.85 ( 'heterogenous_same_type_cblinfun$e'(X0_'A1_a2_prod_ell2_itself',X1_'A1_a2_prod_ell2_itself') <=> 75.38/10.85 $true 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$aq' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$aq'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun') <=> 75.38/10.85 $true 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$af' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$af'(X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun') <=> 75.38/10.85 $true 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'iso_cblinfun$l' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_ell2_complex_cblinfun'] : 75.38/10.85 ( 'iso_cblinfun$l'(X0_'A1_ell2_complex_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$r' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_ell2_a2_a3_prod_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$r'(X0_'A2_ell2_a2_a3_prod_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'cbilinear$g' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_ell2_a2_ell2_cblinfun_a3_ell2_a3_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun_fun'] : 75.38/10.85 ( 'cbilinear$g'(X0_'A2_ell2_a2_ell2_cblinfun_a3_ell2_a3_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun_fun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A2_ell2_a2_ell2_cblinfun_a3_ell2_a3_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun_fun'='tensor_op$c' ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'heterogenous_same_type_cblinfun$c' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_ell2_itself',X1_'A2_ell2_itself'] : 75.38/10.85 ( 'heterogenous_same_type_cblinfun$c'(X0_'A2_ell2_itself',X1_'A2_ell2_itself') <=> 75.38/10.85 $true 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$b' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$b'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'heterogenous_same_type_cblinfun$b' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_ell2_itself',X0_'B2_ell2_itself'] : 75.38/10.85 ( 'heterogenous_same_type_cblinfun$b'(X0_'A2_ell2_itself',X0_'B2_ell2_itself') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$ag' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$ag'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> 75.38/10.85 $true 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'iso_cblinfun$h' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B2_ell2_a1_a2_prod_ell2_cblinfun'] : 75.38/10.85 ( 'iso_cblinfun$h'(X0_'B2_ell2_a1_a2_prod_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'isometry$x' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( 'isometry$x'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'isometry$o' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( 'isometry$o'(X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'iso_cblinfun$j' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_ell2_complex_cblinfun'] : 75.38/10.85 ( 'iso_cblinfun$j'(X0_'B1_ell2_complex_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$s' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_ell2_a1_a2_prod_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$s'(X0_'A2_ell2_a1_a2_prod_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'isometry$f' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_ell2_complex_cblinfun'] : 75.38/10.85 ( 'isometry$f'(X0_'B1_ell2_complex_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'isometry$i' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_ell2_b1_ell2_cblinfun'] : 75.38/10.85 ( 'isometry$i'(X0_'A1_ell2_b1_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'isometry$s' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( 'isometry$s'(X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'heterogenous_same_type_cblinfun$d' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B2_ell2_itself',X1_'B2_ell2_itself'] : 75.38/10.85 ( 'heterogenous_same_type_cblinfun$d'(X0_'B2_ell2_itself',X1_'B2_ell2_itself') <=> 75.38/10.85 $true 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'iso_cblinfun$c' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_ell2_a2_ell2_cblinfun'] : 75.38/10.85 ( 'iso_cblinfun$c'(X0_'A2_ell2_a2_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'isometry$' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( 'isometry$'(X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.85 $true 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$ad' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A3_ell2_a3_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$ad'(X0_'A3_ell2_a3_ell2_cblinfun') <=> 75.38/10.85 $true 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$q' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_ell2_b1_b2_prod_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$q'(X0_'A2_ell2_b1_b2_prod_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'iso_cblinfun$' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B2_ell2_b2_ell2_cblinfun'] : 75.38/10.85 ( 'iso_cblinfun$'(X0_'B2_ell2_b2_ell2_cblinfun') <=> 75.38/10.85 $true 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'isometry$q' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'] : 75.38/10.85 ( 'isometry$q'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'isometry$h' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_ell2_complex_cblinfun'] : 75.38/10.85 ( 'isometry$h'(X0_'A1_ell2_complex_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_ell2_complex_cblinfun'!=iProver_Domain_'A1_ell2_complex_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'cbilinear$c' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun'] : 75.38/10.85 ( 'cbilinear$c'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun'='cblinfun_compose$' ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'isometry$e' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Complex_a1_ell2_cblinfun'] : 75.38/10.85 ( 'isometry$e'(X0_'Complex_a1_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'cbilinear$e' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_ell2_b2_ell2_cblinfun_unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun_fun'] : 75.38/10.85 ( 'cbilinear$e'(X0_'A2_ell2_b2_ell2_cblinfun_unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun_fun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A2_ell2_b2_ell2_cblinfun_unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun_fun'='tensor_op$q' ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'is_Proj$a' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( 'is_Proj$a'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.85 $true 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'heterogenous_same_type_cblinfun$' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_ell2_itself',X0_'A2_a3_prod_ell2_itself'] : 75.38/10.85 ( 'heterogenous_same_type_cblinfun$'(X0_'A2_ell2_itself',X0_'A2_a3_prod_ell2_itself') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'isometry$w' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_b2_prod_ell2_a2_ell2_cblinfun'] : 75.38/10.85 ( 'isometry$w'(X0_'B1_b2_prod_ell2_a2_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$ap' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$ap'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun') <=> 75.38/10.85 $true 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'unitary$d' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Complex_a3_ell2_cblinfun'] : 75.38/10.85 ( 'unitary$d'(X0_'Complex_a3_ell2_cblinfun') <=> 75.38/10.85 $false 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of 'less_eq$b' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( 'less_eq$b'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.85 $true 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'plus$b' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B3_ell2',X1_'B3_ell2',X2_'B3_ell2'] : 75.38/10.85 ( iProver_Flat_'plus$b'(X0_'B3_ell2',X1_'B3_ell2',X2_'B3_ell2') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B3_ell2'=iProver_Domain_'B3_ell2'_1 & X1_'B3_ell2'=iProver_Domain_'B3_ell2'_1 ) 75.38/10.85 & 75.38/10.85 ( X2_'B3_ell2'!=iProver_Domain_'B3_ell2'_1 ) 75.38/10.85 & 75.38/10.85 ( X2_'B3_ell2'!=iProver_Domain_'B3_ell2'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'B3_ell2'=iProver_Domain_'B3_ell2'_1 & X1_'B3_ell2'=iProver_Domain_'B3_ell2'_1 & X2_'B3_ell2'=iProver_Domain_'B3_ell2'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'B3_ell2'=iProver_Domain_'B3_ell2'_1 & X1_'B3_ell2'=iProver_Domain_'B3_ell2'_2 & X2_'B3_ell2'=iProver_Domain_'B3_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'B3_ell2'=iProver_Domain_'B3_ell2'_1 & X2_'B3_ell2'=iProver_Domain_'B3_ell2'_1 ) 75.38/10.85 & 75.38/10.85 ( X1_'B3_ell2'!=iProver_Domain_'B3_ell2'_1 ) 75.38/10.85 & 75.38/10.85 ( X1_'B3_ell2'!=iProver_Domain_'B3_ell2'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'B3_ell2'=iProver_Domain_'B3_ell2'_2 ) 75.38/10.85 & 75.38/10.85 ( X1_'B3_ell2'!=iProver_Domain_'B3_ell2'_1 ) 75.38/10.85 & 75.38/10.85 ( X2_'B3_ell2'!=iProver_Domain_'B3_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'B3_ell2'=iProver_Domain_'B3_ell2'_2 & X1_'B3_ell2'=iProver_Domain_'B3_ell2'_1 & X2_'B3_ell2'=iProver_Domain_'B3_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_inv$j' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Complex_b1_ell2_cblinfun',X0_'B1_ell2_complex_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_inv$j'(X0_'Complex_b1_ell2_cblinfun',X0_'B1_ell2_complex_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'Complex_b1_ell2_cblinfun'=iProver_Domain_'Complex_b1_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_compose$k' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_ell2_b2_ell2_cblinfun',X1_'A2_ell2_b2_ell2_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_compose$k'(X0_'A2_ell2_b2_ell2_cblinfun',X1_'A2_ell2_b2_ell2_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A2_ell2_b2_ell2_cblinfun'=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'zero$ar' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B2_ell2_b2_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'zero$ar'(X0_'B2_ell2_b2_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'vector_to_cblinfun$h' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Complex_a2_ell2_cblinfun',X0_'A2_ell2'] : 75.38/10.85 ( iProver_Flat_'vector_to_cblinfun$h'(X0_'Complex_a2_ell2_cblinfun',X0_'A2_ell2') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'Complex_a2_ell2_cblinfun'=iProver_Domain_'Complex_a2_ell2_cblinfun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_compose$s' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Unit_ell2_a3_ell2_cblinfun',X0_'A3_ell2_a3_ell2_cblinfun',X1_'Unit_ell2_a3_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_compose$s'(X0_'Unit_ell2_a3_ell2_cblinfun',X0_'A3_ell2_a3_ell2_cblinfun',X1_'Unit_ell2_a3_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 & X1_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_2 ) 75.38/10.85 & 75.38/10.85 ( X1_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_compose$bn' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B2_b1_prod_ell2_b2_b1_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun',X0_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_compose$bn'(X0_'B2_b1_prod_ell2_b2_b1_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun',X0_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B2_b1_prod_ell2_b2_b1_prod_ell2_cblinfun'=iProver_Domain_'B2_b1_prod_ell2_b2_b1_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'adj$k' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'adj$k'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 & X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) 75.38/10.85 & 75.38/10.85 ( X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_apply$z' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_fun',X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_apply$z'(X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_fun',X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_fun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_fun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_compose$dx' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X1_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_compose$dx'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X1_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 & X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'adj$ac' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B2_ell2_b2_ell2_cblinfun',X1_'B2_ell2_b2_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'adj$ac'(X0_'B2_ell2_b2_ell2_cblinfun',X1_'B2_ell2_b2_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 & X1_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_2 ) 75.38/10.85 & 75.38/10.85 ( X1_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_apply$t' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_a3_prod_prod_ell2',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2'] : 75.38/10.85 ( iProver_Flat_'cblinfun_apply$t'(X0_'A1_a2_a3_prod_prod_ell2',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X1_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 & X1_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_2 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 | X1_'A1_a2_a3_prod_prod_ell2'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) 75.38/10.85 & 75.38/10.85 ( X1_'A1_a2_a3_prod_prod_ell2'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_2 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X1_'A1_a2_a3_prod_prod_ell2'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_compose$cs' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X1_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X2_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_compose$cs'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X1_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X2_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X1_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X2_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.85 & 75.38/10.85 ( X1_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 | X2_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'vector_to_cblinfun$b' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Unit_ell2_a1_ell2_cblinfun',X0_'A1_ell2'] : 75.38/10.85 ( iProver_Flat_'vector_to_cblinfun$b'(X0_'Unit_ell2_a1_ell2_cblinfun',X0_'A1_ell2') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 & X0_'A1_ell2'=iProver_Domain_'A1_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_2 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'c$a' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_ell2_b2_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'c$a'(X0_'A2_ell2_b2_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A2_ell2_b2_ell2_cblinfun'=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_compose$bk' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B2_ell2_b2_ell2_cblinfun',X0_'A2_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_compose$bk'(X0_'B2_ell2_b2_ell2_cblinfun',X0_'A2_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'id$e' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun'] : 75.38/10.85 ( iProver_Flat_'id$e'(X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'tensor_op$p' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun',X0_'Unit_ell2_unit_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'tensor_op$p'(X0_'B2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun',X0_'Unit_ell2_unit_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'B2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_apply$aa' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Unit_b2_unit_prod_prod_ell2',X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2'] : 75.38/10.85 ( iProver_Flat_'cblinfun_apply$aa'(X0_'Unit_b2_unit_prod_prod_ell2',X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'Unit_b2_unit_prod_prod_ell2'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_apply$y' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Unit_b2_unit_prod_prod_ell2',X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2'] : 75.38/10.85 ( iProver_Flat_'cblinfun_apply$y'(X0_'Unit_b2_unit_prod_prod_ell2',X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'Unit_b2_unit_prod_prod_ell2'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'Unit_b2_unit_prod_prod_ell2'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2'_1 & X0_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'Unit_b2_unit_prod_prod_ell2'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2'_1 & X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 & X0_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'tensor_ell2$j' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_b3_prod_ell2',X0_'B1_ell2',X0_'B3_ell2'] : 75.38/10.85 ( iProver_Flat_'tensor_ell2$j'(X0_'B1_b3_prod_ell2',X0_'B1_ell2',X0_'B3_ell2') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B1_b3_prod_ell2'=iProver_Domain_'B1_b3_prod_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'tensor_ell2$' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B2_unit_prod_ell2',X0_'B2_ell2',X0_'Unit_ell2'] : 75.38/10.85 ( iProver_Flat_'tensor_ell2$'(X0_'B2_unit_prod_ell2',X0_'B2_ell2',X0_'Unit_ell2') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B2_unit_prod_ell2'=iProver_Domain_'B2_unit_prod_ell2'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'B2_ell2'!=iProver_Domain_'B2_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'B2_unit_prod_ell2'=iProver_Domain_'B2_unit_prod_ell2'_1 & X0_'B2_ell2'=iProver_Domain_'B2_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_compose$j' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_compose$j'(X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 & X0_'A2_a3_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 & X0_'A2_a3_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 & X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 & X0_'A2_a3_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 & X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_2 ) 75.38/10.85 & 75.38/10.85 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 | X0_'A2_a3_prod_ell2_b2_unit_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 | X0_'A2_a3_prod_ell2_b2_unit_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A2_a3_prod_ell2_b2_unit_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'id_cblinfun$p' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'id_cblinfun$p'(X0_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'plus$p' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X2_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'plus$p'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X2_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X2_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X2_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.85 & 75.38/10.85 ( X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 | X2_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_compose$ej' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A3_ell2_a3_ell2_cblinfun',X0_'B3_ell2_a3_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_compose$ej'(X0_'A3_ell2_a3_ell2_cblinfun',X0_'B3_ell2_a3_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_2 & X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'tensor_op$ay' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'tensor_op$ay'(X0_'A1_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'adj$ab' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun',X1_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'adj$ab'(X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun',X1_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'vector_to_cblinfun$' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Unit_ell2_b1_ell2_cblinfun',X0_'B1_ell2'] : 75.38/10.85 ( iProver_Flat_'vector_to_cblinfun$'(X0_'Unit_ell2_b1_ell2_cblinfun',X0_'B1_ell2') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'plus$c' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A3_ell2',X1_'A3_ell2',X2_'A3_ell2'] : 75.38/10.85 ( iProver_Flat_'plus$c'(X0_'A3_ell2',X1_'A3_ell2',X2_'A3_ell2') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A3_ell2'=iProver_Domain_'A3_ell2'_1 ) 75.38/10.85 & 75.38/10.85 ( X1_'A3_ell2'!=iProver_Domain_'A3_ell2'_1 ) 75.38/10.85 & 75.38/10.85 ( X2_'A3_ell2'!=iProver_Domain_'A3_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A3_ell2'=iProver_Domain_'A3_ell2'_1 & X1_'A3_ell2'=iProver_Domain_'A3_ell2'_1 & X2_'A3_ell2'=iProver_Domain_'A3_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A3_ell2'=iProver_Domain_'A3_ell2'_2 & X1_'A3_ell2'=iProver_Domain_'A3_ell2'_1 ) 75.38/10.85 & 75.38/10.85 ( X2_'A3_ell2'!=iProver_Domain_'A3_ell2'_1 ) 75.38/10.85 & 75.38/10.85 ( X2_'A3_ell2'!=iProver_Domain_'A3_ell2'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A3_ell2'=iProver_Domain_'A3_ell2'_2 & X1_'A3_ell2'=iProver_Domain_'A3_ell2'_1 & X2_'A3_ell2'=iProver_Domain_'A3_ell2'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A3_ell2'=iProver_Domain_'A3_ell2'_2 & X1_'A3_ell2'=iProver_Domain_'A3_ell2'_2 & X2_'A3_ell2'=iProver_Domain_'A3_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A3_ell2'=iProver_Domain_'A3_ell2'_2 & X2_'A3_ell2'=iProver_Domain_'A3_ell2'_1 ) 75.38/10.85 & 75.38/10.85 ( X1_'A3_ell2'!=iProver_Domain_'A3_ell2'_1 ) 75.38/10.85 & 75.38/10.85 ( X1_'A3_ell2'!=iProver_Domain_'A3_ell2'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_compose$dk' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a1_a3_prod_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_a3_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun',X0_'A1_a1_a3_prod_prod_ell2_a1_a1_prod_a3_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_compose$dk'(X0_'A1_a1_a3_prod_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_a3_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun',X0_'A1_a1_a3_prod_prod_ell2_a1_a1_prod_a3_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a1_a3_prod_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a3_prod_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a1_prod_a3_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a1_prod_a3_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun'_1 | X0_'A1_a1_a3_prod_prod_ell2_a1_a1_prod_a3_prod_ell2_cblinfun'!='assoc_ell2$e' ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a1_a3_prod_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a3_prod_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun'_1 & X0_'A1_a1_prod_a3_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a3_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun'_1 & X0_'A1_a1_a3_prod_prod_ell2_a1_a1_prod_a3_prod_ell2_cblinfun'='assoc_ell2$e' ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'psi_n$a' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_ell2'] : 75.38/10.85 ( iProver_Flat_'psi_n$a'(X0_'A1_ell2') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_ell2'=iProver_Domain_'A1_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'id_cblinfun$n' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_b2_prod_a2_prod_ell2_b1_b2_prod_a2_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'id_cblinfun$n'(X0_'B1_b2_prod_a2_prod_ell2_b1_b2_prod_a2_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B1_b2_prod_a2_prod_ell2_b1_b2_prod_a2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_a2_prod_ell2_b1_b2_prod_a2_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'zero$n' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_a1_prod_ell2'] : 75.38/10.85 ( iProver_Flat_'zero$n'(X0_'B1_a1_prod_ell2') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B1_a1_prod_ell2'=iProver_Domain_'B1_a1_prod_ell2'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'tensor_op$au' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a1_prod_ell2_a1_b1_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X0_'A1_ell2_b1_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'tensor_op$au'(X0_'A1_a1_prod_ell2_a1_b1_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X0_'A1_ell2_b1_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a1_prod_ell2_a1_b1_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_ell2_a1_b1_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'plus$l' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X1_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X2_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'plus$l'(X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X1_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X2_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 & X1_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X2_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X2_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 & X1_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 & X2_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 & X1_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 & X2_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) 75.38/10.85 & 75.38/10.85 ( X1_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X1_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 | X2_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X2_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 & X2_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X1_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_compose$ap' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_ell2_b1_ell2_cblinfun',X0_'Unit_ell2_b1_ell2_cblinfun',X0_'B1_ell2_unit_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_compose$ap'(X0_'B1_ell2_b1_ell2_cblinfun',X0_'Unit_ell2_b1_ell2_cblinfun',X0_'B1_ell2_unit_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 ) 75.38/10.85 & 75.38/10.85 ( X0_'Unit_ell2_b1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 & X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_compose$cw' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_compose$cw'(X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_compose$y' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_ell2_b1_ell2_cblinfun',X0_'B1_ell2_b1_ell2_cblinfun',X1_'A1_ell2_b1_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_compose$y'(X0_'A1_ell2_b1_ell2_cblinfun',X0_'B1_ell2_b1_ell2_cblinfun',X1_'A1_ell2_b1_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'fun_app$b' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun',X1_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'fun_app$b'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun',X1_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_1 | X1_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X1_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_1 & X1_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X1_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 & X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_1 ) 75.38/10.85 & 75.38/10.85 ( X1_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'tensor_ell2$t' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_a1_prod_ell2',X0_'B1_ell2',X0_'A1_ell2'] : 75.38/10.85 ( iProver_Flat_'tensor_ell2$t'(X0_'B1_a1_prod_ell2',X0_'B1_ell2',X0_'A1_ell2') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B1_a1_prod_ell2'=iProver_Domain_'B1_a1_prod_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'swap_ell2$f' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'swap_ell2$f'(X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'tensor_op$aq' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a1_prod_a2_prod_ell2_a1_a1_prod_a2_prod_ell2_cblinfun',X0_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'tensor_op$aq'(X0_'A1_a1_prod_a2_prod_ell2_a1_a1_prod_a2_prod_ell2_cblinfun',X0_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a1_prod_a2_prod_ell2_a1_a1_prod_a2_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a2_prod_ell2_a1_a1_prod_a2_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun'!=iProver_Domain_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a1_prod_a2_prod_ell2_a1_a1_prod_a2_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a2_prod_ell2_a1_a1_prod_a2_prod_ell2_cblinfun'_1 & X0_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'zero$ac' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'zero$ac'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'zero$ab' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'zero$ab'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'zero$y' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_ell2_a2_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'zero$y'(X0_'A2_ell2_a2_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_apply$l' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_ell2_a2_ell2_fun',X0_'A2_ell2_a2_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_apply$l'(X0_'A2_ell2_a2_ell2_fun',X0_'A2_ell2_a2_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A2_ell2_a2_ell2_fun'=iProver_Domain_'A2_ell2_a2_ell2_fun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'assoc_ell2$b' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'assoc_ell2$b'(X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_compose$r' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X1_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_compose$r'(X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X1_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 & X1_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) 75.38/10.85 & 75.38/10.85 ( X1_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_compose$bt' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_compose$bt'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 | X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 & X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 & X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_compose$dn' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a1_prod_a3_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun',X1_'A1_a1_prod_a3_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_a3_prod_ell2_a1_a1_prod_a3_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_compose$dn'(X0_'A1_a1_prod_a3_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun',X1_'A1_a1_prod_a3_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_a3_prod_ell2_a1_a1_prod_a3_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a1_prod_a3_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a3_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a1_prod_a3_prod_ell2_a1_a1_prod_a3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a1_prod_a3_prod_ell2_a1_a1_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a1_prod_a3_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a3_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'_1 & X0_'A1_a1_prod_a3_prod_ell2_a1_a1_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a3_prod_ell2_a1_a1_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'fun_app$y' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B2_ell2',X0_'B2_ell2_b2_ell2_fun',X1_'B2_ell2'] : 75.38/10.85 ( iProver_Flat_'fun_app$y'(X0_'B2_ell2',X0_'B2_ell2_b2_ell2_fun',X1_'B2_ell2') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B2_ell2'=iProver_Domain_'B2_ell2'_1 & X1_'B2_ell2'=iProver_Domain_'B2_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'B2_ell2'=iProver_Domain_'B2_ell2'_2 ) 75.38/10.85 & 75.38/10.85 ( X1_'B2_ell2'!=iProver_Domain_'B2_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'adj$f' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Unit_ell2_a3_ell2_cblinfun',X0_'A3_ell2_unit_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'adj$f'(X0_'Unit_ell2_a3_ell2_cblinfun',X0_'A3_ell2_unit_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 & X0_'A3_ell2_unit_ell2_cblinfun'=iProver_Domain_'A3_ell2_unit_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_2 ) 75.38/10.85 & 75.38/10.85 ( X0_'A3_ell2_unit_ell2_cblinfun'!=iProver_Domain_'A3_ell2_unit_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_inv$i' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_a1_a2_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_inv$i'(X0_'A1_a2_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_a1_a2_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_prod_ell2_a2_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_compose$cp' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X1_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_compose$cp'(X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X1_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_compose$dd' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_compose$dd'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 | X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 & X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'assoc_ell2$g' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a1_prod_a2_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'assoc_ell2$g'(X0_'A1_a1_prod_a2_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a1_prod_a2_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a2_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'zero$p' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_a3_prod_ell2'] : 75.38/10.85 ( iProver_Flat_'zero$p'(X0_'B1_a3_prod_ell2') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B1_a3_prod_ell2'=iProver_Domain_'B1_a3_prod_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_compose$ch' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'B2_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_b2_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_compose$ch'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'B2_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_b2_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_inv$b' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_inv$b'(X0_'A2_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A2_ell2_b2_ell2_cblinfun'=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'tensor_op$j' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B2_b2_prod_ell2_b2_b2_prod_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun',X1_'B2_ell2_b2_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'tensor_op$j'(X0_'B2_b2_prod_ell2_b2_b2_prod_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun',X1_'B2_ell2_b2_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B2_b2_prod_ell2_b2_b2_prod_ell2_cblinfun'=iProver_Domain_'B2_b2_prod_ell2_b2_b2_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 | X1_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'B2_b2_prod_ell2_b2_b2_prod_ell2_cblinfun'=iProver_Domain_'B2_b2_prod_ell2_b2_b2_prod_ell2_cblinfun'_1 & X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 & X1_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'fun_app$r' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun',X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'fun_app$r'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun',X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun'_2 & X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun'_2 | X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun'_1 & X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'plus$ae' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X1_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X2_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'plus$ae'(X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X1_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X2_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'tensor_op$l' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_b2_prod_ell2_a2_b2_prod_ell2_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'tensor_op$l'(X0_'A2_b2_prod_ell2_a2_b2_prod_ell2_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A2_b2_prod_ell2_a2_b2_prod_ell2_cblinfun'=iProver_Domain_'A2_b2_prod_ell2_a2_b2_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A2_b2_prod_ell2_a2_b2_prod_ell2_cblinfun'=iProver_Domain_'A2_b2_prod_ell2_a2_b2_prod_ell2_cblinfun'_1 & X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'butterfly$w' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Unit_ell2_unit_ell2_cblinfun',X0_'Unit_ell2',X1_'Unit_ell2'] : 75.38/10.85 ( iProver_Flat_'butterfly$w'(X0_'Unit_ell2_unit_ell2_cblinfun',X0_'Unit_ell2',X1_'Unit_ell2') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'adj$ao' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'adj$ao'(X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'adj$ak' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'adj$ak'(X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'adj$m' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'adj$m'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'id_cblinfun$v' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A3_a2_prod_ell2_a3_a2_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'id_cblinfun$v'(X0_'A3_a2_prod_ell2_a3_a2_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A3_a2_prod_ell2_a3_a2_prod_ell2_cblinfun'=iProver_Domain_'A3_a2_prod_ell2_a3_a2_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'fun_app$q' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun_fun',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'fun_app$q'(X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun_fun',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun'_1 & X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun_fun'='cblinfun_compose$am' & X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun'_2 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 | X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun_fun'!='cblinfun_compose$am' ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'adj$o' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun',X0_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'adj$o'(X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun',X0_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'adj$n' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_ell2_b1_ell2_cblinfun',X0_'B1_ell2_a1_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'adj$n'(X0_'A1_ell2_b1_ell2_cblinfun',X0_'B1_ell2_a1_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'B1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_2 & X0_'B1_ell2_a1_ell2_cblinfun'=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'adj$e' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_ell2_a2_ell2_cblinfun',X1_'A2_ell2_a2_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'adj$e'(X0_'A2_ell2_a2_ell2_cblinfun',X1_'A2_ell2_a2_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 & X1_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_2 ) 75.38/10.85 & 75.38/10.85 ( X1_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'adj$as' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'adj$as'(X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.85 & 75.38/10.85 ( X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'fun_app$u' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_prod_a3_prod_ell2',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun',X0_'A1_a2_a3_prod_prod_ell2'] : 75.38/10.85 ( iProver_Flat_'fun_app$u'(X0_'A1_a2_prod_a3_prod_ell2',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun',X0_'A1_a2_a3_prod_prod_ell2') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_prod_a3_prod_ell2'=iProver_Domain_'A1_a2_prod_a3_prod_ell2'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 | X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_prod_a3_prod_ell2'=iProver_Domain_'A1_a2_prod_a3_prod_ell2'_1 & X0_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_prod_a3_prod_ell2'=iProver_Domain_'A1_a2_prod_a3_prod_ell2'_1 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_prod_a3_prod_ell2'=iProver_Domain_'A1_a2_prod_a3_prod_ell2'_2 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_prod_a3_prod_ell2'=iProver_Domain_'A1_a2_prod_a3_prod_ell2'_2 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'_1 & X0_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_compose$cj' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_a2_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_compose$cj'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_a2_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'fun_app$e' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun',X0_'A1_ell2_a1_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun_fun',X0_'A1_ell2_a1_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'fun_app$e'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun',X0_'A1_ell2_a1_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun_fun',X0_'A1_ell2_a1_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_ell2_a1_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun_fun'!='tensor_op$b' ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_ell2_a1_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun_fun'!='tensor_op$b' | X0_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun'_1 & X0_'A1_ell2_a1_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun_fun'='tensor_op$b' ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun'_2 & X0_'A1_ell2_a1_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun_fun'='tensor_op$b' & X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'adj$bl' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B2_ell2_a1_a2_prod_ell2_cblinfun',X0_'A1_a2_prod_ell2_b2_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'adj$bl'(X0_'B2_ell2_a1_a2_prod_ell2_cblinfun',X0_'A1_a2_prod_ell2_b2_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B2_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'B2_ell2_a1_a2_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_apply$an' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B3_ell2',X0_'A1_ell2_b3_ell2_cblinfun',X0_'A1_ell2'] : 75.38/10.85 ( iProver_Flat_'cblinfun_apply$an'(X0_'B3_ell2',X0_'A1_ell2_b3_ell2_cblinfun',X0_'A1_ell2') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B3_ell2'=iProver_Domain_'B3_ell2'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'id_cblinfun$ab' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_cblinfun'] : 75.38/10.85 ( iProver_Flat_'id_cblinfun$ab'(X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_compose$ah' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X1_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_compose$ah'(X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X1_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_compose$em' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Unit_ell2_b1_ell2_cblinfun',X0_'A1_ell2_b1_ell2_cblinfun',X0_'Unit_ell2_a1_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_compose$em'(X0_'Unit_ell2_b1_ell2_cblinfun',X0_'A1_ell2_b1_ell2_cblinfun',X0_'Unit_ell2_a1_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_compose$bz' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_ell2_a1_ell2_cblinfun',X0_'Complex_a1_ell2_cblinfun',X0_'B1_ell2_complex_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_compose$bz'(X0_'B1_ell2_a1_ell2_cblinfun',X0_'Complex_a1_ell2_cblinfun',X0_'B1_ell2_complex_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B1_ell2_a1_ell2_cblinfun'=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'plus$ad' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X1_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X2_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'plus$ad'(X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X1_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X2_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'plus$e' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_ell2_b1_ell2_cblinfun',X1_'B1_ell2_b1_ell2_cblinfun',X2_'B1_ell2_b1_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'plus$e'(X0_'B1_ell2_b1_ell2_cblinfun',X1_'B1_ell2_b1_ell2_cblinfun',X2_'B1_ell2_b1_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'a23$' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'a23$'(X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_apply$n' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B2_ell2',X0_'A2_ell2_b2_ell2_cblinfun',X0_'A2_ell2'] : 75.38/10.85 ( iProver_Flat_'cblinfun_apply$n'(X0_'B2_ell2',X0_'A2_ell2_b2_ell2_cblinfun',X0_'A2_ell2') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B2_ell2'=iProver_Domain_'B2_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'adj$l' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A3_ell2_a3_ell2_cblinfun',X1_'A3_ell2_a3_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'adj$l'(X0_'A3_ell2_a3_ell2_cblinfun',X1_'A3_ell2_a3_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 & X1_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_2 ) 75.38/10.85 & 75.38/10.85 ( X1_'A3_ell2_a3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'heterogenous_cblinfun_id$l' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_ell2_a1_a2_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'heterogenous_cblinfun_id$l'(X0_'A2_ell2_a1_a2_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A2_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_ell2_a1_a2_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'sandwich$' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_cblinfun',X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'sandwich$'(X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_cblinfun',X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'psi$' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_ell2'] : 75.38/10.85 ( iProver_Flat_'psi$'(X0_'B1_ell2') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B1_ell2'=iProver_Domain_'B1_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'heterogenous_cblinfun_id$j' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_ell2_a2_a3_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'heterogenous_cblinfun_id$j'(X0_'A2_ell2_a2_a3_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A2_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'tensor_op$t' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun',X0_'Unit_ell2_unit_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'tensor_op$t'(X0_'A2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun',X0_'Unit_ell2_unit_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'Unit_ell2_unit_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'_2 & X0_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'_2 & X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'tensor_op$af' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_b2_prod_ell2_a1_a2_prod_ell2_cblinfun',X0_'B1_ell2_a1_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'tensor_op$af'(X0_'B1_b2_prod_ell2_a1_a2_prod_ell2_cblinfun',X0_'B1_ell2_a1_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B1_b2_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'tensor_op$' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_ell2_b1_ell2_cblinfun',X0_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'tensor_op$'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_ell2_b1_ell2_cblinfun',X0_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_compose$bu' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun',X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun',X0_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_compose$bu'(X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun',X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun',X0_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'!=iProver_Domain_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_2 & X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_compose$db' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_compose$db'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.85 & 75.38/10.85 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_apply$j' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun',X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_apply$j'(X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun',X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'fun_app$m' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun',X0_'A1_ell2_b1_ell2_cblinfun_a2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun',X0_'A1_ell2_b1_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'fun_app$m'(X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun',X0_'A1_ell2_b1_ell2_cblinfun_a2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun',X0_'A1_ell2_b1_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_ell2_b1_ell2_cblinfun_a2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun'!='tensor_op$w' ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_ell2_b1_ell2_cblinfun_a2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun'!='tensor_op$w' | X0_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_1 & X0_'A1_ell2_b1_ell2_cblinfun_a2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun'='tensor_op$w' ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_1 & X0_'A1_ell2_b1_ell2_cblinfun_a2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun'='tensor_op$w' & X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_2 & X0_'A1_ell2_b1_ell2_cblinfun_a2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun'='tensor_op$w' & X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'adj$bc' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun',X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'adj$bc'(X0_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun',X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'!=iProver_Domain_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun'_2 & X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'one$' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Unit_ell2_unit_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'one$'(X0_'Unit_ell2_unit_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'tensor_op$ag' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun',X0_'B3_ell2_a3_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'tensor_op$ag'(X0_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun',X0_'B3_ell2_a3_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'id_cblinfun$o' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'id_cblinfun$o'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'assoc_ell20$' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_fun'] : 75.38/10.85 ( iProver_Flat_'assoc_ell20$'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_fun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_fun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_fun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_compose$ai' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_compose$ai'(X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'heterogenous_cblinfun_id$' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'heterogenous_cblinfun_id$'(X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_apply$am' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B3_ell2',X0_'B1_ell2_b3_ell2_cblinfun',X0_'B1_ell2'] : 75.38/10.85 ( iProver_Flat_'cblinfun_apply$am'(X0_'B3_ell2',X0_'B1_ell2_b3_ell2_cblinfun',X0_'B1_ell2') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B3_ell2'=iProver_Domain_'B3_ell2'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'adj$be' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_ell2_complex_cblinfun',X0_'Complex_a2_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'adj$be'(X0_'A2_ell2_complex_cblinfun',X0_'Complex_a2_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A2_ell2_complex_cblinfun'=iProver_Domain_'A2_ell2_complex_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'zero$as' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'zero$as'(X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'tensor_op$am' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a3_prod_ell2_a1_b3_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'tensor_op$am'(X0_'A1_a3_prod_ell2_a1_b3_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a3_prod_ell2_a1_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a3_prod_ell2_a1_b3_prod_ell2_cblinfun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_compose$aj' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Unit_b2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_compose$aj'(X0_'Unit_b2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'Unit_b2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_compose$v' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_compose$v'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 & X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 & X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'plus$x' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X1_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X2_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'plus$x'(X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X1_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X2_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'plus$y' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X2_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'plus$y'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X2_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 & X1_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 & X2_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 ) 75.38/10.85 & 75.38/10.85 ( X1_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 | X2_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'tensor_op$ad' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'tensor_op$ad'(X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) 75.38/10.85 & 75.38/10.85 ( X0_'A3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 & X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_inv$o' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A3_ell2_complex_cblinfun',X0_'Complex_a3_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_inv$o'(X0_'A3_ell2_complex_cblinfun',X0_'Complex_a3_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A3_ell2_complex_cblinfun'=iProver_Domain_'A3_ell2_complex_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'zero$f' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_ell2_b1_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'zero$f'(X0_'A1_ell2_b1_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'id_cblinfun$s' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Complex_complex_cblinfun'] : 75.38/10.85 ( iProver_Flat_'id_cblinfun$s'(X0_'Complex_complex_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'Complex_complex_cblinfun'=iProver_Domain_'Complex_complex_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'adj$ai' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X1_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'adj$ai'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X1_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X1_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.85 & 75.38/10.85 ( X1_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'fun_app$z' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_ell2',X0_'A2_ell2_a2_ell2_fun',X1_'A2_ell2'] : 75.38/10.85 ( iProver_Flat_'fun_app$z'(X0_'A2_ell2',X0_'A2_ell2_a2_ell2_fun',X1_'A2_ell2') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A2_ell2'=iProver_Domain_'A2_ell2'_1 & X1_'A2_ell2'=iProver_Domain_'A2_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 | 75.38/10.85 ( 75.38/10.85 ( X0_'A2_ell2'=iProver_Domain_'A2_ell2'_2 ) 75.38/10.85 & 75.38/10.85 ( X1_'A2_ell2'!=iProver_Domain_'A2_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'tensor_ell2$d' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A3_a3_prod_ell2',X0_'A3_ell2',X1_'A3_ell2'] : 75.38/10.85 ( iProver_Flat_'tensor_ell2$d'(X0_'A3_a3_prod_ell2',X0_'A3_ell2',X1_'A3_ell2') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A3_a3_prod_ell2'=iProver_Domain_'A3_a3_prod_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'zero$al' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'zero$al'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_inv$l' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'Complex_a1_ell2_cblinfun',X0_'A1_ell2_complex_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_inv$l'(X0_'Complex_a1_ell2_cblinfun',X0_'A1_ell2_complex_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'Complex_a1_ell2_cblinfun'=iProver_Domain_'Complex_a1_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'tensor_op$bb' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun',X0_'A1_ell2_b1_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'tensor_op$bb'(X0_'A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun',X0_'A1_ell2_b1_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun'=iProver_Domain_'A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'tensor_op$az' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A3_a3_prod_ell2_b3_b3_prod_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun',X1_'A3_ell2_b3_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'tensor_op$az'(X0_'A3_a3_prod_ell2_b3_b3_prod_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun',X1_'A3_ell2_b3_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A3_a3_prod_ell2_b3_b3_prod_ell2_cblinfun'=iProver_Domain_'A3_a3_prod_ell2_b3_b3_prod_ell2_cblinfun'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'tensor_ell2$l' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'B1_b1_prod_ell2',X0_'B1_ell2',X1_'B1_ell2'] : 75.38/10.85 ( iProver_Flat_'tensor_ell2$l'(X0_'B1_b1_prod_ell2',X0_'B1_ell2',X1_'B1_ell2') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'B1_b1_prod_ell2'=iProver_Domain_'B1_b1_prod_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'cblinfun_compose$z' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun',X0_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun',X1_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'] : 75.38/10.85 ( iProver_Flat_'cblinfun_compose$z'(X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun',X0_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun',X1_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_2 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'psi$a' 75.38/10.85 fof(lit_def,axiom, 75.38/10.85 (! [X0_'A1_ell2'] : 75.38/10.85 ( iProver_Flat_'psi$a'(X0_'A1_ell2') <=> 75.38/10.85 ( 75.38/10.85 ( 75.38/10.85 ( X0_'A1_ell2'=iProver_Domain_'A1_ell2'_1 ) 75.38/10.85 ) 75.38/10.85 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ) 75.38/10.85 ). 75.38/10.85 75.38/10.85 %------ Positive definition of iProver_Flat_'zero$af' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'zero$af'(X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$en' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Unit_ell2_b1_ell2_cblinfun',X0_'A3_ell2_b1_ell2_cblinfun',X0_'Unit_ell2_a3_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$en'(X0_'Unit_ell2_b1_ell2_cblinfun',X0_'A3_ell2_b1_ell2_cblinfun',X0_'Unit_ell2_a3_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 & X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'fun_app$' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'fun_app$'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 | X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 | X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_2 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_2 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_2 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_2 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_1 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'zero$ai' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'zero$ai'(X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_apply$as' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A3_ell2',X0_'A1_ell2_a3_ell2_cblinfun',X0_'A1_ell2'] : 75.38/10.86 ( iProver_Flat_'cblinfun_apply$as'(X0_'A3_ell2',X0_'A1_ell2_a3_ell2_cblinfun',X0_'A1_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A3_ell2'=iProver_Domain_'A3_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$cd' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'B2_ell2_b1_b2_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_b2_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$cd'(X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'B2_ell2_b1_b2_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_b2_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'tensor_ell2$h' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B3_a3_prod_ell2',X0_'B3_ell2',X0_'A3_ell2'] : 75.38/10.86 ( iProver_Flat_'tensor_ell2$h'(X0_'B3_a3_prod_ell2',X0_'B3_ell2',X0_'A3_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B3_a3_prod_ell2'=iProver_Domain_'B3_a3_prod_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_apply$aj' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B3_ell2',X0_'A3_ell2_b3_ell2_cblinfun',X0_'A3_ell2'] : 75.38/10.86 ( iProver_Flat_'cblinfun_apply$aj'(X0_'B3_ell2',X0_'A3_ell2_b3_ell2_cblinfun',X0_'A3_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B3_ell2'=iProver_Domain_'B3_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'fun_app$n' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun',X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'fun_app$n'(X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun',X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 & X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun'_2 & X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 & X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun'!=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun'!=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 & 75.38/10.86 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun'!=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun'_2 | X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 & X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun'_1 & X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'zero$w' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A2_ell2_b2_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'zero$w'(X0_'A2_ell2_b2_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A2_ell2_b2_ell2_cblinfun'=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'swap_ell2$c' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'swap_ell2$c'(X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'id$' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_fun'] : 75.38/10.86 ( iProver_Flat_'id$'(X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_fun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_fun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_fun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$an' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$an'(X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'plus$a' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_ell2',X1_'A1_ell2',X2_'A1_ell2'] : 75.38/10.86 ( iProver_Flat_'plus$a'(X0_'A1_ell2',X1_'A1_ell2',X2_'A1_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_ell2'=iProver_Domain_'A1_ell2'_1 & X1_'A1_ell2'=iProver_Domain_'A1_ell2'_1 ) 75.38/10.86 & 75.38/10.86 ( X2_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 ) 75.38/10.86 & 75.38/10.86 ( X2_'A1_ell2'!=iProver_Domain_'A1_ell2'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_ell2'=iProver_Domain_'A1_ell2'_1 & X1_'A1_ell2'=iProver_Domain_'A1_ell2'_1 & X2_'A1_ell2'=iProver_Domain_'A1_ell2'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_ell2'=iProver_Domain_'A1_ell2'_1 & X1_'A1_ell2'=iProver_Domain_'A1_ell2'_2 & X2_'A1_ell2'=iProver_Domain_'A1_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_ell2'=iProver_Domain_'A1_ell2'_1 & X2_'A1_ell2'=iProver_Domain_'A1_ell2'_1 ) 75.38/10.86 & 75.38/10.86 ( X1_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 ) 75.38/10.86 & 75.38/10.86 ( X1_'A1_ell2'!=iProver_Domain_'A1_ell2'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_ell2'=iProver_Domain_'A1_ell2'_2 ) 75.38/10.86 & 75.38/10.86 ( X1_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 ) 75.38/10.86 & 75.38/10.86 ( X2_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_ell2'=iProver_Domain_'A1_ell2'_2 & X1_'A1_ell2'=iProver_Domain_'A1_ell2'_1 & X2_'A1_ell2'=iProver_Domain_'A1_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'zero$aq' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'zero$aq'(X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'sandwich$p' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun',X0_'B2_ell2_b2_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'sandwich$p'(X0_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun',X0_'B2_ell2_b2_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun'_2 & X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$ec' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A3_ell2_b3_ell2_cblinfun',X1_'A3_ell2_b3_ell2_cblinfun',X0_'A3_ell2_a3_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$ec'(X0_'A3_ell2_b3_ell2_cblinfun',X1_'A3_ell2_b3_ell2_cblinfun',X0_'A3_ell2_a3_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$dj' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_b2_prod_b3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$dj'(X0_'B1_b2_prod_b3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_prod_b3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X0_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_prod_b3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 & 75.38/10.86 ( X0_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'vector_to_cblinfun$a' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Unit_ell2_b3_ell2_cblinfun',X0_'B3_ell2'] : 75.38/10.86 ( iProver_Flat_'vector_to_cblinfun$a'(X0_'Unit_ell2_b3_ell2_cblinfun',X0_'B3_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'B3_ell2'!=iProver_Domain_'B3_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 & X0_'B3_ell2'=iProver_Domain_'B3_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'assoc_ell20$a' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'] : 75.38/10.86 ( iProver_Flat_'assoc_ell20$a'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_apply$i' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_fun',X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_apply$i'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_fun',X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_fun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_fun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'tensor_ell2$b' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A2_a3_prod_ell2',X0_'A2_ell2',X0_'A3_ell2'] : 75.38/10.86 ( iProver_Flat_'tensor_ell2$b'(X0_'A2_a3_prod_ell2',X0_'A2_ell2',X0_'A3_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A2_a3_prod_ell2'=iProver_Domain_'A2_a3_prod_ell2'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A3_ell2'!=iProver_Domain_'A3_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A2_a3_prod_ell2'=iProver_Domain_'A2_a3_prod_ell2'_1 & X0_'A3_ell2'=iProver_Domain_'A3_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'fun_app$ab' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_b2_b3_prod_prod_ell2',X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_fun',X0_'B1_b2_prod_b3_prod_ell2'] : 75.38/10.86 ( iProver_Flat_'fun_app$ab'(X0_'B1_b2_b3_prod_prod_ell2',X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_fun',X0_'B1_b2_prod_b3_prod_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_b3_prod_prod_ell2'=iProver_Domain_'B1_b2_b3_prod_prod_ell2'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'!=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_b3_prod_prod_ell2'=iProver_Domain_'B1_b2_b3_prod_prod_ell2'_1 & X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'adj$af' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_ell2_complex_cblinfun',X0_'Complex_b1_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'adj$af'(X0_'B1_ell2_complex_cblinfun',X0_'Complex_b1_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_ell2_complex_cblinfun'=iProver_Domain_'B1_ell2_complex_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'Complex_b1_ell2_cblinfun'!=iProver_Domain_'Complex_b1_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'Complex_b1_ell2_cblinfun'!=iProver_Domain_'Complex_b1_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'B1_ell2_complex_cblinfun'=iProver_Domain_'B1_ell2_complex_cblinfun'_1 & X0_'Complex_b1_ell2_cblinfun'=iProver_Domain_'Complex_b1_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'B1_ell2_complex_cblinfun'=iProver_Domain_'B1_ell2_complex_cblinfun'_2 & X0_'Complex_b1_ell2_cblinfun'=iProver_Domain_'Complex_b1_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'id$b' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_fun'] : 75.38/10.86 ( iProver_Flat_'id$b'(X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_fun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_fun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'id$f' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_fun'] : 75.38/10.86 ( iProver_Flat_'id$f'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_fun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_fun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_fun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$ad' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$ad'(X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_apply$ak' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_ell2',X0_'B3_ell2_b1_ell2_cblinfun',X0_'B3_ell2'] : 75.38/10.86 ( iProver_Flat_'cblinfun_apply$ak'(X0_'B1_ell2',X0_'B3_ell2_b1_ell2_cblinfun',X0_'B3_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_ell2'=iProver_Domain_'B1_ell2'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'adj$ag' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X1_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'adj$ag'(X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X1_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'zero$ad' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Unit_ell2_unit_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'zero$ad'(X0_'Unit_ell2_unit_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'butterfly$aa' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2',X1_'A2_a3_prod_ell2'] : 75.38/10.86 ( iProver_Flat_'butterfly$aa'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2',X1_'A2_a3_prod_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X1_'A2_a3_prod_ell2'!=iProver_Domain_'A2_a3_prod_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 & X1_'A2_a3_prod_ell2'=iProver_Domain_'A2_a3_prod_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$bf' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_ell2_b1_ell2_cblinfun',X0_'Complex_b1_ell2_cblinfun',X0_'B1_ell2_complex_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$bf'(X0_'B1_ell2_b1_ell2_cblinfun',X0_'Complex_b1_ell2_cblinfun',X0_'B1_ell2_complex_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'tensor_op$v' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'B1_ell2_a1_ell2_cblinfun',X0_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'tensor_op$v'(X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'B1_ell2_a1_ell2_cblinfun',X0_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X0_'B1_ell2_a1_ell2_cblinfun'=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_1 & X0_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X0_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'B1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 & 75.38/10.86 ( X0_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'zero$u' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B3_b1_prod_ell2'] : 75.38/10.86 ( iProver_Flat_'zero$u'(X0_'B3_b1_prod_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B3_b1_prod_ell2'=iProver_Domain_'B3_b1_prod_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_apply$q' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A3_ell2',X0_'Unit_ell2_a3_ell2_cblinfun',X0_'Unit_ell2'] : 75.38/10.86 ( iProver_Flat_'cblinfun_apply$q'(X0_'A3_ell2',X0_'Unit_ell2_a3_ell2_cblinfun',X0_'Unit_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A3_ell2'=iProver_Domain_'A3_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'tensor_op$ai' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun',X0_'A2_ell2_b2_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'tensor_op$ai'(X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun',X0_'A2_ell2_b2_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'adj$au' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Complex_a3_ell2_cblinfun',X0_'A3_ell2_complex_cblinfun'] : 75.38/10.86 ( iProver_Flat_'adj$au'(X0_'Complex_a3_ell2_cblinfun',X0_'A3_ell2_complex_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Complex_a3_ell2_cblinfun'=iProver_Domain_'Complex_a3_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A3_ell2_complex_cblinfun'!=iProver_Domain_'A3_ell2_complex_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A3_ell2_complex_cblinfun'!=iProver_Domain_'A3_ell2_complex_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'Complex_a3_ell2_cblinfun'=iProver_Domain_'Complex_a3_ell2_cblinfun'_1 & X0_'A3_ell2_complex_cblinfun'=iProver_Domain_'A3_ell2_complex_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'Complex_a3_ell2_cblinfun'=iProver_Domain_'Complex_a3_ell2_cblinfun'_2 & X0_'A3_ell2_complex_cblinfun'=iProver_Domain_'A3_ell2_complex_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'tensor_op$be' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun',X0_'B1_ell2_b1_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'tensor_op$be'(X0_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun',X0_'B1_ell2_b1_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'adj$h' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B2_ell2_a2_ell2_cblinfun',X0_'A2_ell2_b2_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'adj$h'(X0_'B2_ell2_a2_ell2_cblinfun',X0_'A2_ell2_b2_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B2_ell2_a2_ell2_cblinfun'=iProver_Domain_'B2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'tensor_ell2$u' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_b1_prod_ell2',X0_'A1_ell2',X0_'B1_ell2'] : 75.38/10.86 ( iProver_Flat_'tensor_ell2$u'(X0_'A1_b1_prod_ell2',X0_'A1_ell2',X0_'B1_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_b1_prod_ell2'=iProver_Domain_'A1_b1_prod_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$az' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$az'(X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 | X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 & X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 & X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 & X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'sandwich$e' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'sandwich$e'(X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$dr' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a1_prod_a1_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_b1_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_a1_prod_ell2_a1_a1_prod_b1_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$dr'(X0_'A1_a1_prod_a1_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_b1_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_a1_prod_ell2_a1_a1_prod_b1_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a1_prod_a1_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a1_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a1_prod_b1_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun'!='assoc_ell2$i' ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a1_prod_a1_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a1_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun'_1 & X0_'A1_a1_prod_b1_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun'='assoc_ell2$i' ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'adj$bh' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B2_ell2_b1_b2_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_b2_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'adj$bh'(X0_'B2_ell2_b1_b2_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_b2_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B2_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'B2_ell2_b1_b2_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'tensor_op$d' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'Unit_ell2_b1_ell2_cblinfun',X0_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'tensor_op$d'(X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'Unit_ell2_b1_ell2_cblinfun',X0_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun'!=iProver_Domain_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 & X0_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'adj$b' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A2_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'adj$b'(X0_'A2_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A2_ell2_b2_ell2_cblinfun'=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'adj$i' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun',X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'adj$i'(X0_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun',X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun'_1 & X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun'_2 ) 75.38/10.86 & 75.38/10.86 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$b' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$b'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 | X0_'Unit_a2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'Unit_a2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 & X0_'Unit_a2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'plus$aa' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X2_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'plus$aa'(X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X2_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'heterogenous_cblinfun_id$g' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'heterogenous_cblinfun_id$g'(X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$p' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$p'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'adj$aq' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Unit_b2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'adj$aq'(X0_'Unit_b2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_b2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'tensor_op$ah' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'A1_ell2_b1_ell2_cblinfun',X0_'A2_ell2_b2_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'tensor_op$ah'(X0_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'A1_ell2_b1_ell2_cblinfun',X0_'A2_ell2_b2_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'adj$aw' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Complex_a1_ell2_cblinfun',X0_'A1_ell2_complex_cblinfun'] : 75.38/10.86 ( iProver_Flat_'adj$aw'(X0_'Complex_a1_ell2_cblinfun',X0_'A1_ell2_complex_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Complex_a1_ell2_cblinfun'=iProver_Domain_'Complex_a1_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_ell2_complex_cblinfun'!=iProver_Domain_'A1_ell2_complex_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_ell2_complex_cblinfun'!=iProver_Domain_'A1_ell2_complex_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'Complex_a1_ell2_cblinfun'=iProver_Domain_'Complex_a1_ell2_cblinfun'_1 & X0_'A1_ell2_complex_cblinfun'=iProver_Domain_'A1_ell2_complex_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'Complex_a1_ell2_cblinfun'=iProver_Domain_'Complex_a1_ell2_cblinfun'_2 & X0_'A1_ell2_complex_cblinfun'=iProver_Domain_'A1_ell2_complex_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'adj$ae' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B3_ell2_a3_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'adj$ae'(X0_'B3_ell2_a3_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B3_ell2_a3_ell2_cblinfun'=iProver_Domain_'B3_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'B3_ell2_a3_ell2_cblinfun'=iProver_Domain_'B3_ell2_a3_ell2_cblinfun'_2 & X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'id$d' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_fun'] : 75.38/10.86 ( iProver_Flat_'id$d'(X0_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_fun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_fun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_fun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'adj$p' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'adj$p'(X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'butterfly$z' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2',X0_'A2_unit_prod_ell2'] : 75.38/10.86 ( iProver_Flat_'butterfly$z'(X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2',X0_'A2_unit_prod_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A2_unit_prod_ell2'!=iProver_Domain_'A2_unit_prod_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 & X0_'A2_unit_prod_ell2'=iProver_Domain_'A2_unit_prod_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$u' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A3_ell2_a3_ell2_cblinfun',X1_'A3_ell2_a3_ell2_cblinfun',X2_'A3_ell2_a3_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$u'(X0_'A3_ell2_a3_ell2_cblinfun',X1_'A3_ell2_a3_ell2_cblinfun',X2_'A3_ell2_a3_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$ac' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$ac'(X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'tensor_ell2$i' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B3_a1_prod_ell2',X0_'B3_ell2',X0_'A1_ell2'] : 75.38/10.86 ( iProver_Flat_'tensor_ell2$i'(X0_'B3_a1_prod_ell2',X0_'B3_ell2',X0_'A1_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B3_a1_prod_ell2'=iProver_Domain_'B3_a1_prod_ell2'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$do' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a1_a2_prod_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_a2_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun',X0_'A1_a1_a2_prod_prod_ell2_a1_a1_prod_a2_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$do'(X0_'A1_a1_a2_prod_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_a2_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun',X0_'A1_a1_a2_prod_prod_ell2_a1_a1_prod_a2_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a1_a2_prod_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a2_prod_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a1_a2_prod_prod_ell2_a1_a1_prod_a2_prod_ell2_cblinfun'!='assoc_ell2$h' ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a1_a2_prod_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a2_prod_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun'_1 & X0_'A1_a1_a2_prod_prod_ell2_a1_a1_prod_a2_prod_ell2_cblinfun'='assoc_ell2$h' ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a1_prod_a2_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a1_prod_a2_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a1_a2_prod_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a2_prod_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun'_2 & X0_'A1_a1_prod_a2_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a2_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun'_1 & X0_'A1_a1_a2_prod_prod_ell2_a1_a1_prod_a2_prod_ell2_cblinfun'='assoc_ell2$h' ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'adj$bd' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun',X0_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'adj$bd'(X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun',X0_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'plus$q' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A2_ell2_b2_ell2_cblinfun',X1_'A2_ell2_b2_ell2_cblinfun',X2_'A2_ell2_b2_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'plus$q'(X0_'A2_ell2_b2_ell2_cblinfun',X1_'A2_ell2_b2_ell2_cblinfun',X2_'A2_ell2_b2_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A2_ell2_b2_ell2_cblinfun'=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'id_cblinfun$m' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_b2_prod_b2_prod_ell2_b1_b2_prod_b2_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'id_cblinfun$m'(X0_'B1_b2_prod_b2_prod_ell2_b1_b2_prod_b2_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_prod_b2_prod_ell2_b1_b2_prod_b2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b2_prod_ell2_b1_b2_prod_b2_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$cv' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X1_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$cv'(X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X1_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 & X1_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 & 75.38/10.86 ( X1_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'butterfly$ae' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun',X0_'B3_a3_prod_ell2',X0_'A3_a3_prod_ell2'] : 75.38/10.86 ( iProver_Flat_'butterfly$ae'(X0_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun',X0_'B3_a3_prod_ell2',X0_'A3_a3_prod_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun'=iProver_Domain_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'adj$am' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'adj$am'(X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$ae' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X1_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$ae'(X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X1_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'zero$a' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_ell2'] : 75.38/10.86 ( iProver_Flat_'zero$a'(X0_'A1_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_ell2'=iProver_Domain_'A1_ell2'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'b12_n$' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'b12_n$'(X0_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$l' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Unit_ell2_unit_ell2_cblinfun',X0_'A3_ell2_unit_ell2_cblinfun',X0_'Unit_ell2_a3_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$l'(X0_'Unit_ell2_unit_ell2_cblinfun',X0_'A3_ell2_unit_ell2_cblinfun',X0_'Unit_ell2_a3_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'tensor_op$bf' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun',X0_'B1_ell2_b1_ell2_cblinfun',X1_'B1_ell2_b1_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'tensor_op$bf'(X0_'B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun',X0_'B1_ell2_b1_ell2_cblinfun',X1_'B1_ell2_b1_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun'=iProver_Domain_'B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'plus$v' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X1_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X2_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'plus$v'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X1_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X2_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X1_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X2_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X1_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X2_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 & 75.38/10.86 ( X1_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'tensor_ell2$m' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_a3_prod_prod_ell2',X0_'A1_ell2',X0_'A2_a3_prod_ell2'] : 75.38/10.86 ( iProver_Flat_'tensor_ell2$m'(X0_'A1_a2_a3_prod_prod_ell2',X0_'A1_ell2',X0_'A2_a3_prod_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 & X0_'A2_a3_prod_ell2'=iProver_Domain_'A2_a3_prod_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_2 ) 75.38/10.86 & 75.38/10.86 ( X0_'A2_a3_prod_ell2'!=iProver_Domain_'A2_a3_prod_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_inv$a' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B2_ell2_a2_ell2_cblinfun',X0_'A2_ell2_b2_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_inv$a'(X0_'B2_ell2_a2_ell2_cblinfun',X0_'A2_ell2_b2_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B2_ell2_a2_ell2_cblinfun'=iProver_Domain_'B2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'plus$u' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Unit_ell2_a1_ell2_cblinfun',X1_'Unit_ell2_a1_ell2_cblinfun',X2_'Unit_ell2_a1_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'plus$u'(X0_'Unit_ell2_a1_ell2_cblinfun',X1_'Unit_ell2_a1_ell2_cblinfun',X2_'Unit_ell2_a1_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 & X1_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X2_'Unit_ell2_a1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 & X2_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X1_'Unit_ell2_a1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_2 ) 75.38/10.86 & 75.38/10.86 ( X1_'Unit_ell2_a1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X2_'Unit_ell2_a1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_2 & X1_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 & X2_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$eq' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Unit_ell2_b3_ell2_cblinfun',X0_'A1_ell2_b3_ell2_cblinfun',X0_'Unit_ell2_a1_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$eq'(X0_'Unit_ell2_b3_ell2_cblinfun',X0_'A1_ell2_b3_ell2_cblinfun',X0_'Unit_ell2_a1_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'plus$i' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Unit_ell2_unit_ell2_cblinfun',X1_'Unit_ell2_unit_ell2_cblinfun',X2_'Unit_ell2_unit_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'plus$i'(X0_'Unit_ell2_unit_ell2_cblinfun',X1_'Unit_ell2_unit_ell2_cblinfun',X2_'Unit_ell2_unit_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'adj$z' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_ell2_b1_ell2_cblinfun',X1_'B1_ell2_b1_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'adj$z'(X0_'B1_ell2_b1_ell2_cblinfun',X1_'B1_ell2_b1_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 & X1_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 ) 75.38/10.86 & 75.38/10.86 ( X1_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'fun_app$i' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun',X0_'A2_ell2_a2_ell2_cblinfun_unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun_fun',X0_'A2_ell2_a2_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'fun_app$i'(X0_'Unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun',X0_'A2_ell2_a2_ell2_cblinfun_unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun_fun',X0_'A2_ell2_a2_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 | X0_'A2_ell2_a2_ell2_cblinfun_unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun_fun'!='tensor_op$g' ) 75.38/10.86 & 75.38/10.86 ( X0_'A2_ell2_a2_ell2_cblinfun_unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun_fun'!='tensor_op$g' ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'_1 & X0_'A2_ell2_a2_ell2_cblinfun_unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun_fun'='tensor_op$g' ) 75.38/10.86 & 75.38/10.86 ( X0_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'_2 & X0_'A2_ell2_a2_ell2_cblinfun_unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun_fun'='tensor_op$g' & X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'tensor_op$s' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A2_a3_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'A2_ell2_b2_ell2_cblinfun',X0_'A3_ell2_unit_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'tensor_op$s'(X0_'A2_a3_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'A2_ell2_b2_ell2_cblinfun',X0_'A3_ell2_unit_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A2_a3_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'id_cblinfun$j' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A2_b2_prod_ell2_a2_b2_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'id_cblinfun$j'(X0_'A2_b2_prod_ell2_a2_b2_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A2_b2_prod_ell2_a2_b2_prod_ell2_cblinfun'=iProver_Domain_'A2_b2_prod_ell2_a2_b2_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_inv$n' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_ell2_complex_cblinfun',X0_'Complex_b1_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_inv$n'(X0_'B1_ell2_complex_cblinfun',X0_'Complex_b1_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_ell2_complex_cblinfun'=iProver_Domain_'B1_ell2_complex_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'assoc_ell2$' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'assoc_ell2$'(X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'tensor_op$ba' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A3_b1_prod_ell2_b3_b1_prod_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun',X0_'B1_ell2_b1_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'tensor_op$ba'(X0_'A3_b1_prod_ell2_b3_b1_prod_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun',X0_'B1_ell2_b1_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A3_b1_prod_ell2_b3_b1_prod_ell2_cblinfun'=iProver_Domain_'A3_b1_prod_ell2_b3_b1_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$ed' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_ell2_b1_ell2_cblinfun',X1_'B1_ell2_b1_ell2_cblinfun',X2_'B1_ell2_b1_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$ed'(X0_'B1_ell2_b1_ell2_cblinfun',X1_'B1_ell2_b1_ell2_cblinfun',X2_'B1_ell2_b1_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'zero$b' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B3_ell2'] : 75.38/10.86 ( iProver_Flat_'zero$b'(X0_'B3_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B3_ell2'=iProver_Domain_'B3_ell2'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_inv$g' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A2_a3_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_a2_a3_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_inv$g'(X0_'A2_a3_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_a2_a3_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A2_a3_prod_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'adj$j' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A3_ell2_unit_ell2_cblinfun',X0_'Unit_ell2_a3_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'adj$j'(X0_'A3_ell2_unit_ell2_cblinfun',X0_'Unit_ell2_a3_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A3_ell2_unit_ell2_cblinfun'=iProver_Domain_'A3_ell2_unit_ell2_cblinfun'_1 & X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A3_ell2_unit_ell2_cblinfun'=iProver_Domain_'A3_ell2_unit_ell2_cblinfun'_2 ) 75.38/10.86 & 75.38/10.86 ( X0_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$cz' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$cz'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 & X1_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 ) 75.38/10.86 & 75.38/10.86 ( X1_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'fun_app$s' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun_fun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'fun_app$s'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun_fun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 | X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun_fun'!='cblinfun_compose$ao' ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun_fun'!='cblinfun_compose$ao' ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun'_1 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun_fun'='cblinfun_compose$ao' ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun'_2 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun_fun'='cblinfun_compose$ao' & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'tensor_op$h' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'B1_ell2_b1_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'tensor_op$h'(X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'B1_ell2_b1_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 | X0_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'_2 & X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 & X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'butterfly$ah' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun',X0_'B1_b1_prod_ell2',X1_'B1_b1_prod_ell2'] : 75.38/10.86 ( iProver_Flat_'butterfly$ah'(X0_'B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun',X0_'B1_b1_prod_ell2',X1_'B1_b1_prod_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun'=iProver_Domain_'B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'butterfly$af' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A3_a1_prod_ell2_b3_a1_prod_ell2_cblinfun',X0_'B3_a1_prod_ell2',X0_'A3_a1_prod_ell2'] : 75.38/10.86 ( iProver_Flat_'butterfly$af'(X0_'A3_a1_prod_ell2_b3_a1_prod_ell2_cblinfun',X0_'B3_a1_prod_ell2',X0_'A3_a1_prod_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A3_a1_prod_ell2_b3_a1_prod_ell2_cblinfun'=iProver_Domain_'A3_a1_prod_ell2_b3_a1_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A3_a1_prod_ell2'!=iProver_Domain_'A3_a1_prod_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A3_a1_prod_ell2_b3_a1_prod_ell2_cblinfun'=iProver_Domain_'A3_a1_prod_ell2_b3_a1_prod_ell2_cblinfun'_1 & X0_'A3_a1_prod_ell2'=iProver_Domain_'A3_a1_prod_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'adj$r' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'adj$r'(X0_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'fun_app$ad' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_a3_prod_prod_ell2',X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_fun',X0_'Unit_a2_unit_prod_prod_ell2'] : 75.38/10.86 ( iProver_Flat_'fun_app$ad'(X0_'A1_a2_a3_prod_prod_ell2',X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_fun',X0_'Unit_a2_unit_prod_prod_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'adj$ap' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Unit_b2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'adj$ap'(X0_'Unit_b2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_b2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$de' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'A1_a2_prod_a3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$de'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'A1_a2_prod_a3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 | X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X0_'A1_a2_prod_a3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'plus$s' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Unit_ell2_b1_ell2_cblinfun',X1_'Unit_ell2_b1_ell2_cblinfun',X2_'Unit_ell2_b1_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'plus$s'(X0_'Unit_ell2_b1_ell2_cblinfun',X1_'Unit_ell2_b1_ell2_cblinfun',X2_'Unit_ell2_b1_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X1_'Unit_ell2_b1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 | X2_'Unit_ell2_b1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 & X1_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 & X2_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$ce' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B2_ell2_b2_ell2_cblinfun',X0_'B1_b2_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_b1_b2_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$ce'(X0_'B2_ell2_b2_ell2_cblinfun',X0_'B1_b2_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_b1_b2_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'B2_ell2_b1_b2_prod_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b1_b2_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_2 & X0_'B2_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'B2_ell2_b1_b2_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'butterfly$x' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'B2_unit_prod_ell2',X0_'A2_unit_prod_ell2'] : 75.38/10.86 ( iProver_Flat_'butterfly$x'(X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'B2_unit_prod_ell2',X0_'A2_unit_prod_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A2_unit_prod_ell2'!=iProver_Domain_'A2_unit_prod_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 & X0_'A2_unit_prod_ell2'=iProver_Domain_'A2_unit_prod_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'id_cblinfun$f' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B2_b2_prod_ell2_b2_b2_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'id_cblinfun$f'(X0_'B2_b2_prod_ell2_b2_b2_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B2_b2_prod_ell2_b2_b2_prod_ell2_cblinfun'=iProver_Domain_'B2_b2_prod_ell2_b2_b2_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$dh' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$dh'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 & X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$ar' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_ell2_b1_ell2_cblinfun',X0_'Unit_ell2_b1_ell2_cblinfun',X0_'A1_ell2_unit_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$ar'(X0_'A1_ell2_b1_ell2_cblinfun',X0_'Unit_ell2_b1_ell2_cblinfun',X0_'A1_ell2_unit_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$bl' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_ell2_b1_ell2_cblinfun',X0_'A1_ell2_b1_ell2_cblinfun',X0_'B1_ell2_a1_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$bl'(X0_'B1_ell2_b1_ell2_cblinfun',X0_'A1_ell2_b1_ell2_cblinfun',X0_'B1_ell2_a1_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'fun_app$v' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_b2_prod_ell2',X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun',X1_'B1_b2_prod_ell2'] : 75.38/10.86 ( iProver_Flat_'fun_app$v'(X0_'B1_b2_prod_ell2',X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun',X1_'B1_b2_prod_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_prod_ell2'=iProver_Domain_'B1_b2_prod_ell2'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun'!=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun'_1 | X1_'B1_b2_prod_ell2'!=iProver_Domain_'B1_b2_prod_ell2'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_prod_ell2'=iProver_Domain_'B1_b2_prod_ell2'_2 & X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun'_1 & X1_'B1_b2_prod_ell2'=iProver_Domain_'B1_b2_prod_ell2'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'adj$c' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Unit_ell2_unit_ell2_cblinfun',X1_'Unit_ell2_unit_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'adj$c'(X0_'Unit_ell2_unit_ell2_cblinfun',X1_'Unit_ell2_unit_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'sandwich$n' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun',X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'sandwich$n'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun',X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'_1 & X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'plus$z' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X1_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X2_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'plus$z'(X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X1_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X2_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 & X1_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 & X2_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 & X2_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 ) 75.38/10.86 & 75.38/10.86 ( X1_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 | X2_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 ) 75.38/10.86 & 75.38/10.86 ( X2_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_apply$e' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_a3_prod_prod_ell2',X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2'] : 75.38/10.86 ( iProver_Flat_'cblinfun_apply$e'(X0_'A1_a2_a3_prod_prod_ell2',X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$ep' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Unit_ell2_b3_ell2_cblinfun',X0_'B3_ell2_b3_ell2_cblinfun',X1_'Unit_ell2_b3_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$ep'(X0_'Unit_ell2_b3_ell2_cblinfun',X0_'B3_ell2_b3_ell2_cblinfun',X1_'Unit_ell2_b3_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X1_'Unit_ell2_b3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 & X1_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$cc' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B2_ell2_b2_ell2_cblinfun',X1_'B2_ell2_b2_ell2_cblinfun',X2_'B2_ell2_b2_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$cc'(X0_'B2_ell2_b2_ell2_cblinfun',X1_'B2_ell2_b2_ell2_cblinfun',X2_'B2_ell2_b2_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X2_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 & X1_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 & X2_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_2 & X2_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X1_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'adj$x' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B2_b3_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'adj$x'(X0_'B2_b3_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B2_b3_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'B2_b3_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 & X0_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'B2_b3_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'B2_b3_prod_ell2_b2_unit_prod_ell2_cblinfun'_2 ) 75.38/10.86 & 75.38/10.86 ( X0_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun'!=iProver_Domain_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$cq' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X1_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$cq'(X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X1_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 & X1_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 & X0_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 | X1_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_apply$f' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_fun',X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_apply$f'(X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_fun',X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_fun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'a23_n$' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'a23_n$'(X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'sandwich$o' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_fun',X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'sandwich$o'(X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_fun',X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_fun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'butterfly$ac' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A3_b1_prod_ell2_b3_b1_prod_ell2_cblinfun',X0_'B3_b1_prod_ell2',X0_'A3_b1_prod_ell2'] : 75.38/10.86 ( iProver_Flat_'butterfly$ac'(X0_'A3_b1_prod_ell2_b3_b1_prod_ell2_cblinfun',X0_'B3_b1_prod_ell2',X0_'A3_b1_prod_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A3_b1_prod_ell2_b3_b1_prod_ell2_cblinfun'=iProver_Domain_'A3_b1_prod_ell2_b3_b1_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A3_b1_prod_ell2'!=iProver_Domain_'A3_b1_prod_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A3_b1_prod_ell2_b3_b1_prod_ell2_cblinfun'=iProver_Domain_'A3_b1_prod_ell2_b3_b1_prod_ell2_cblinfun'_1 & X0_'A3_b1_prod_ell2'=iProver_Domain_'A3_b1_prod_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'id$g' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun'] : 75.38/10.86 ( iProver_Flat_'id$g'(X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'zero$o' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_b3_prod_ell2'] : 75.38/10.86 ( iProver_Flat_'zero$o'(X0_'B1_b3_prod_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b3_prod_ell2'=iProver_Domain_'B1_b3_prod_ell2'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'tensor_ell2$x' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a3_prod_ell2',X0_'A1_ell2',X0_'A3_ell2'] : 75.38/10.86 ( iProver_Flat_'tensor_ell2$x'(X0_'A1_a3_prod_ell2',X0_'A1_ell2',X0_'A3_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a3_prod_ell2'=iProver_Domain_'A1_a3_prod_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_apply$b' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_ell2',X0_'B1_ell2_a1_ell2_cblinfun',X0_'B1_ell2'] : 75.38/10.86 ( iProver_Flat_'cblinfun_apply$b'(X0_'A1_ell2',X0_'B1_ell2_a1_ell2_cblinfun',X0_'B1_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_ell2'=iProver_Domain_'A1_ell2'_2 ) 75.38/10.86 & 75.38/10.86 ( X0_'B1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_ell2'=iProver_Domain_'A1_ell2'_2 & X0_'B1_ell2_a1_ell2_cblinfun'=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$bb' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$bb'(X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'tensor_op$f' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'Unit_ell2_a1_ell2_cblinfun',X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'tensor_op$f'(X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'Unit_ell2_a1_ell2_cblinfun',X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'Unit_ell2_a1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 & X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$q' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A3_ell2_a3_ell2_cblinfun',X0_'Unit_ell2_a3_ell2_cblinfun',X0_'A3_ell2_unit_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$q'(X0_'A3_ell2_a3_ell2_cblinfun',X0_'Unit_ell2_a3_ell2_cblinfun',X0_'A3_ell2_unit_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$dt' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a1_prod_a1_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun',X1_'A1_a1_prod_a1_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_a1_prod_ell2_a1_a1_prod_a1_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$dt'(X0_'A1_a1_prod_a1_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun',X1_'A1_a1_prod_a1_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_a1_prod_ell2_a1_a1_prod_a1_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a1_prod_a1_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a1_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'zero$x' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'zero$x'(X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$e' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A2_ell2_b2_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun',X1_'A2_ell2_b2_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$e'(X0_'A2_ell2_b2_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun',X1_'A2_ell2_b2_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A2_ell2_b2_ell2_cblinfun'=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'tensor_ell2$o' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B2_b3_prod_ell2',X0_'B2_ell2',X0_'B3_ell2'] : 75.38/10.86 ( iProver_Flat_'tensor_ell2$o'(X0_'B2_b3_prod_ell2',X0_'B2_ell2',X0_'B3_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B2_b3_prod_ell2'=iProver_Domain_'B2_b3_prod_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$df' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_prod_a3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$df'(X0_'A1_a2_prod_a3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 | X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 & X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'adj$ay' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun',X0_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'adj$ay'(X0_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun',X0_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$o' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A2_ell2_a2_ell2_cblinfun',X1_'A2_ell2_a2_ell2_cblinfun',X2_'A2_ell2_a2_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$o'(X0_'A2_ell2_a2_ell2_cblinfun',X1_'A2_ell2_a2_ell2_cblinfun',X2_'A2_ell2_a2_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 & X1_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 & X2_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 & X1_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_2 & X2_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 & X2_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X1_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X1_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_2 ) 75.38/10.86 & 75.38/10.86 ( X1_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 | X2_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X2_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'butterfly$ab' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A3_a3_prod_ell2_b3_b3_prod_ell2_cblinfun',X0_'B3_b3_prod_ell2',X0_'A3_a3_prod_ell2'] : 75.38/10.86 ( iProver_Flat_'butterfly$ab'(X0_'A3_a3_prod_ell2_b3_b3_prod_ell2_cblinfun',X0_'B3_b3_prod_ell2',X0_'A3_a3_prod_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A3_a3_prod_ell2_b3_b3_prod_ell2_cblinfun'=iProver_Domain_'A3_a3_prod_ell2_b3_b3_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'B3_b3_prod_ell2'!=iProver_Domain_'B3_b3_prod_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A3_a3_prod_ell2_b3_b3_prod_ell2_cblinfun'=iProver_Domain_'A3_a3_prod_ell2_b3_b3_prod_ell2_cblinfun'_1 & X0_'B3_b3_prod_ell2'=iProver_Domain_'B3_b3_prod_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'sandwich$q' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_fun',X0_'A2_ell2_a2_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'sandwich$q'(X0_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_fun',X0_'A2_ell2_a2_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_fun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_fun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'fun_app$x' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_prod_ell2',X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun',X1_'A1_a2_prod_ell2'] : 75.38/10.86 ( iProver_Flat_'fun_app$x'(X0_'A1_a2_prod_ell2',X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun',X1_'A1_a2_prod_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_prod_ell2'=iProver_Domain_'A1_a2_prod_ell2'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun'!=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun'_1 | X1_'A1_a2_prod_ell2'!=iProver_Domain_'A1_a2_prod_ell2'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_prod_ell2'=iProver_Domain_'A1_a2_prod_ell2'_2 & X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun'_1 & X1_'A1_a2_prod_ell2'=iProver_Domain_'A1_a2_prod_ell2'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_inv$' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B2_ell2_b2_ell2_cblinfun',X1_'B2_ell2_b2_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_inv$'(X0_'B2_ell2_b2_ell2_cblinfun',X1_'B2_ell2_b2_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 & X1_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_2 ) 75.38/10.86 & 75.38/10.86 ( X1_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'vector_to_cblinfun$c' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Unit_ell2_a3_ell2_cblinfun',X0_'A3_ell2'] : 75.38/10.86 ( iProver_Flat_'vector_to_cblinfun$c'(X0_'Unit_ell2_a3_ell2_cblinfun',X0_'A3_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A3_ell2'!=iProver_Domain_'A3_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 & X0_'A3_ell2'=iProver_Domain_'A3_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'adj$aj' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'adj$aj'(X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$ei' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A3_ell2_b3_ell2_cblinfun',X0_'B3_ell2_b3_ell2_cblinfun',X1_'A3_ell2_b3_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$ei'(X0_'A3_ell2_b3_ell2_cblinfun',X0_'B3_ell2_b3_ell2_cblinfun',X1_'A3_ell2_b3_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 & X1_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_2 ) 75.38/10.86 & 75.38/10.86 ( X1_'A3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'vector_to_cblinfun$g' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Complex_a1_ell2_cblinfun',X0_'A1_ell2'] : 75.38/10.86 ( iProver_Flat_'vector_to_cblinfun$g'(X0_'Complex_a1_ell2_cblinfun',X0_'A1_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Complex_a1_ell2_cblinfun'=iProver_Domain_'Complex_a1_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'tensor_op$av' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a1_prod_a1_prod_ell2_a1_a1_prod_a1_prod_ell2_cblinfun',X0_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'tensor_op$av'(X0_'A1_a1_prod_a1_prod_ell2_a1_a1_prod_a1_prod_ell2_cblinfun',X0_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a1_prod_a1_prod_ell2_a1_a1_prod_a1_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a1_prod_ell2_a1_a1_prod_a1_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$w' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_ell2_a1_ell2_cblinfun',X0_'B1_ell2_a1_ell2_cblinfun',X0_'A1_ell2_b1_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$w'(X0_'A1_ell2_a1_ell2_cblinfun',X0_'B1_ell2_a1_ell2_cblinfun',X0_'A1_ell2_b1_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'B1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 & X0_'B1_ell2_a1_ell2_cblinfun'=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 & X0_'B1_ell2_a1_ell2_cblinfun'=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_1 & X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 & X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'zero$ag' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'zero$ag'(X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$dg' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X1_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$dg'(X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X1_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X1_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X1_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'fun_app$c' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'fun_app$c'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_1 & X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun'='cblinfun_compose$a' & X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_2 ) 75.38/10.86 & 75.38/10.86 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 | X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun'!='cblinfun_compose$a' ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'id_cblinfun$ac' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_cblinfun'] : 75.38/10.86 ( iProver_Flat_'id_cblinfun$ac'(X0_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'adj$ax' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_ell2_complex_cblinfun',X0_'Complex_a1_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'adj$ax'(X0_'A1_ell2_complex_cblinfun',X0_'Complex_a1_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_ell2_complex_cblinfun'=iProver_Domain_'A1_ell2_complex_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'Complex_a1_ell2_cblinfun'!=iProver_Domain_'Complex_a1_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_ell2_complex_cblinfun'=iProver_Domain_'A1_ell2_complex_cblinfun'_2 & X0_'Complex_a1_ell2_cblinfun'=iProver_Domain_'Complex_a1_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$bh' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_ell2_a1_ell2_cblinfun',X0_'Complex_a1_ell2_cblinfun',X0_'A1_ell2_complex_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$bh'(X0_'A1_ell2_a1_ell2_cblinfun',X0_'Complex_a1_ell2_cblinfun',X0_'A1_ell2_complex_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'Complex_a1_ell2_cblinfun'!=iProver_Domain_'Complex_a1_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_ell2_complex_cblinfun'!=iProver_Domain_'A1_ell2_complex_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 & X0_'Complex_a1_ell2_cblinfun'=iProver_Domain_'Complex_a1_ell2_cblinfun'_1 & X0_'A1_ell2_complex_cblinfun'=iProver_Domain_'A1_ell2_complex_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 & X0_'A1_ell2_complex_cblinfun'=iProver_Domain_'A1_ell2_complex_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'Complex_a1_ell2_cblinfun'!=iProver_Domain_'Complex_a1_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_2 & X0_'Complex_a1_ell2_cblinfun'=iProver_Domain_'Complex_a1_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_ell2_complex_cblinfun'!=iProver_Domain_'A1_ell2_complex_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_apply$d' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_ell2',X0_'A1_ell2_a1_ell2_cblinfun',X1_'A1_ell2'] : 75.38/10.86 ( iProver_Flat_'cblinfun_apply$d'(X0_'A1_ell2',X0_'A1_ell2_a1_ell2_cblinfun',X1_'A1_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_ell2'=iProver_Domain_'A1_ell2'_1 & X1_'A1_ell2'=iProver_Domain_'A1_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_ell2'=iProver_Domain_'A1_ell2'_2 ) 75.38/10.86 & 75.38/10.86 ( X1_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_apply$' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A3_ell2',X0_'A3_ell2_a3_ell2_cblinfun',X1_'A3_ell2'] : 75.38/10.86 ( iProver_Flat_'cblinfun_apply$'(X0_'A3_ell2',X0_'A3_ell2_a3_ell2_cblinfun',X1_'A3_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A3_ell2'=iProver_Domain_'A3_ell2'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_apply$aq' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_fun',X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_apply$aq'(X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_fun',X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'plus$o' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X2_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'plus$o'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X2_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X1_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X2_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X2_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X1_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X2_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X1_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X2_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 & 75.38/10.86 ( X1_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X1_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 | X2_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X1_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 | X2_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 & 75.38/10.86 ( X1_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 | X2_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X2_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 & X1_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 & X2_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 & X2_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X1_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X1_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'butterfly$an' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2',X0_'A1_a2_prod_a3_prod_ell2'] : 75.38/10.86 ( iProver_Flat_'butterfly$an'(X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2',X0_'A1_a2_prod_a3_prod_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 & X0_'A1_a2_prod_a3_prod_ell2'=iProver_Domain_'A1_a2_prod_a3_prod_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_prod_a3_prod_ell2'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'id_cblinfun$t' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Unit_ell2_unit_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'id_cblinfun$t'(X0_'Unit_ell2_unit_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$bi' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$bi'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'tensor_ell2$r' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_prod_a3_prod_ell2',X0_'A1_a2_prod_ell2',X0_'A3_ell2'] : 75.38/10.86 ( iProver_Flat_'tensor_ell2$r'(X0_'A1_a2_prod_a3_prod_ell2',X0_'A1_a2_prod_ell2',X0_'A3_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_prod_a3_prod_ell2'=iProver_Domain_'A1_a2_prod_a3_prod_ell2'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_prod_ell2'!=iProver_Domain_'A1_a2_prod_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_prod_a3_prod_ell2'=iProver_Domain_'A1_a2_prod_a3_prod_ell2'_1 & X0_'A1_a2_prod_ell2'=iProver_Domain_'A1_a2_prod_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'zero$ae' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'zero$ae'(X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$ax' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_ell2_a1_ell2_cblinfun',X0_'Unit_ell2_a1_ell2_cblinfun',X0_'B1_ell2_unit_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$ax'(X0_'B1_ell2_a1_ell2_cblinfun',X0_'Unit_ell2_a1_ell2_cblinfun',X0_'B1_ell2_unit_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_ell2_a1_ell2_cblinfun'=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_apply$p' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A2_a3_prod_ell2',X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_unit_prod_ell2'] : 75.38/10.86 ( iProver_Flat_'cblinfun_apply$p'(X0_'A2_a3_prod_ell2',X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_unit_prod_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A2_a3_prod_ell2'=iProver_Domain_'A2_a3_prod_ell2'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A2_unit_prod_ell2'!=iProver_Domain_'A2_unit_prod_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A2_a3_prod_ell2'=iProver_Domain_'A2_a3_prod_ell2'_1 & X0_'A2_unit_prod_ell2'=iProver_Domain_'A2_unit_prod_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'tensor_op$aj' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a1_prod_a3_prod_ell2_a1_a1_prod_b3_prod_ell2_cblinfun',X0_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'tensor_op$aj'(X0_'A1_a1_prod_a3_prod_ell2_a1_a1_prod_b3_prod_ell2_cblinfun',X0_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a1_prod_a3_prod_ell2_a1_a1_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a3_prod_ell2_a1_a1_prod_b3_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun'!=iProver_Domain_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a1_prod_a3_prod_ell2_a1_a1_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a3_prod_ell2_a1_a1_prod_b3_prod_ell2_cblinfun'_1 & X0_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$ek' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Unit_ell2_b1_ell2_cblinfun',X0_'B1_ell2_b1_ell2_cblinfun',X1_'Unit_ell2_b1_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$ek'(X0_'Unit_ell2_b1_ell2_cblinfun',X0_'B1_ell2_b1_ell2_cblinfun',X1_'Unit_ell2_b1_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 & X1_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_2 ) 75.38/10.86 & 75.38/10.86 ( X1_'Unit_ell2_b1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'adj$bk' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A2_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_a2_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'adj$bk'(X0_'A2_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_a2_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A2_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_a3_prod_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'sandwich$m' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_fun',X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'sandwich$m'(X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_fun',X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_fun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_fun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$al' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$al'(X0_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'adj$bg' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_b2_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_b1_b2_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'adj$bg'(X0_'B1_b2_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_b1_b2_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_prod_ell2_a2_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'fun_app$p' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun',X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'fun_app$p'(X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun',X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 | X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 & X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 & X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 & X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 & X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun'_1 & X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'tensor_ell2$k' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_a3_prod_ell2',X0_'B1_ell2',X0_'A3_ell2'] : 75.38/10.86 ( iProver_Flat_'tensor_ell2$k'(X0_'B1_a3_prod_ell2',X0_'B1_ell2',X0_'A3_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_a3_prod_ell2'=iProver_Domain_'B1_a3_prod_ell2'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'butterfly$aj' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2',X0_'A1_a2_a3_prod_prod_ell2'] : 75.38/10.86 ( iProver_Flat_'butterfly$aj'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2',X0_'A1_a2_a3_prod_prod_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'B1_b2_b3_prod_prod_ell2'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X0_'B1_b2_b3_prod_prod_ell2'=iProver_Domain_'B1_b2_b3_prod_prod_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'fun_app$k' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun',X0_'A2_ell2_b2_ell2_cblinfun_unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun_fun',X0_'A2_ell2_b2_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'fun_app$k'(X0_'Unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun',X0_'A2_ell2_b2_ell2_cblinfun_unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun_fun',X0_'A2_ell2_b2_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_1 | X0_'A2_ell2_b2_ell2_cblinfun_unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun_fun'!='tensor_op$q' ) 75.38/10.86 & 75.38/10.86 ( X0_'A2_ell2_b2_ell2_cblinfun_unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun_fun'!='tensor_op$q' ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun'_1 & X0_'A2_ell2_b2_ell2_cblinfun_unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun_fun'='tensor_op$q' ) 75.38/10.86 & 75.38/10.86 ( X0_'A2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun'_2 & X0_'A2_ell2_b2_ell2_cblinfun_unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun_fun'='tensor_op$q' & X0_'A2_ell2_b2_ell2_cblinfun'=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'vector_to_cblinfun$f' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Complex_b1_ell2_cblinfun',X0_'B1_ell2'] : 75.38/10.86 ( iProver_Flat_'vector_to_cblinfun$f'(X0_'Complex_b1_ell2_cblinfun',X0_'B1_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Complex_b1_ell2_cblinfun'=iProver_Domain_'Complex_b1_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'Complex_b1_ell2_cblinfun'=iProver_Domain_'Complex_b1_ell2_cblinfun'_1 & X0_'B1_ell2'=iProver_Domain_'B1_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'adj$bb' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'adj$bb'(X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 & X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'butterfly$ak' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2',X0_'A1_a2_a3_prod_prod_ell2'] : 75.38/10.86 ( iProver_Flat_'butterfly$ak'(X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2',X0_'A1_a2_a3_prod_prod_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'zero$s' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_b3_prod_ell2'] : 75.38/10.86 ( iProver_Flat_'zero$s'(X0_'A1_b3_prod_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_b3_prod_ell2'=iProver_Domain_'A1_b3_prod_ell2'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$es' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'Unit_ell2_a1_ell2_cblinfun',X0_'B1_ell2_a1_ell2_cblinfun',X0_'Unit_ell2_b1_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$es'(X0_'Unit_ell2_a1_ell2_cblinfun',X0_'B1_ell2_a1_ell2_cblinfun',X0_'Unit_ell2_b1_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'Unit_ell2_b1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_2 & X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'adj$y' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun',X1_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'adj$y'(X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun',X1_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X1_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'!=iProver_Domain_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'_1 & X1_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'adj$u' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_ell2_unit_ell2_cblinfun',X0_'Unit_ell2_a1_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'adj$u'(X0_'A1_ell2_unit_ell2_cblinfun',X0_'Unit_ell2_a1_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_ell2_unit_ell2_cblinfun'=iProver_Domain_'A1_ell2_unit_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'Unit_ell2_a1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_ell2_unit_ell2_cblinfun'=iProver_Domain_'A1_ell2_unit_ell2_cblinfun'_2 & X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$di' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$di'(X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X0_'B1_b2_prod_b3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 & 75.38/10.86 ( X0_'B1_b2_prod_b3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_b3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'plus$' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_ell2',X1_'B1_ell2',X2_'B1_ell2'] : 75.38/10.86 ( iProver_Flat_'plus$'(X0_'B1_ell2',X1_'B1_ell2',X2_'B1_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_ell2'=iProver_Domain_'B1_ell2'_1 & X1_'B1_ell2'=iProver_Domain_'B1_ell2'_1 ) 75.38/10.86 & 75.38/10.86 ( X2_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 ) 75.38/10.86 & 75.38/10.86 ( X2_'B1_ell2'!=iProver_Domain_'B1_ell2'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'B1_ell2'=iProver_Domain_'B1_ell2'_1 & X1_'B1_ell2'=iProver_Domain_'B1_ell2'_1 & X2_'B1_ell2'=iProver_Domain_'B1_ell2'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'B1_ell2'=iProver_Domain_'B1_ell2'_1 & X1_'B1_ell2'=iProver_Domain_'B1_ell2'_2 & X2_'B1_ell2'=iProver_Domain_'B1_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'B1_ell2'=iProver_Domain_'B1_ell2'_1 & X2_'B1_ell2'=iProver_Domain_'B1_ell2'_1 ) 75.38/10.86 & 75.38/10.86 ( X1_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 ) 75.38/10.86 & 75.38/10.86 ( X1_'B1_ell2'!=iProver_Domain_'B1_ell2'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'B1_ell2'=iProver_Domain_'B1_ell2'_2 ) 75.38/10.86 & 75.38/10.86 ( X1_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 ) 75.38/10.86 & 75.38/10.86 ( X2_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'B1_ell2'=iProver_Domain_'B1_ell2'_2 & X1_'B1_ell2'=iProver_Domain_'B1_ell2'_1 & X2_'B1_ell2'=iProver_Domain_'B1_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'id$a' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'] : 75.38/10.86 ( iProver_Flat_'id$a'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'adj$d' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'adj$d'(X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 & X0_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) 75.38/10.86 & 75.38/10.86 ( X0_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$br' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A2_a3_prod_a1_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a2_a3_prod_a1_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$br'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A2_a3_prod_a1_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a2_a3_prod_a1_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A2_a3_prod_a1_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!='swap_ell2$g' | X0_'A1_a2_a3_prod_prod_ell2_a2_a3_prod_a1_prod_ell2_cblinfun'!='swap_ell2$h' ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X0_'A2_a3_prod_a1_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'='swap_ell2$g' & X0_'A1_a2_a3_prod_prod_ell2_a2_a3_prod_a1_prod_ell2_cblinfun'='swap_ell2$h' ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$dz' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_b2_b3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$dz'(X0_'B1_b2_b3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_b3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_b3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_b3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_2 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 & X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'zero$e' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_ell2_b1_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'zero$e'(X0_'B1_ell2_b1_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_inv$h' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a1_a2_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_inv$h'(X0_'A1_a2_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a1_a2_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_prod_ell2_b2_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'fun_app$aa' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_b2_prod_b3_prod_ell2',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_fun',X0_'B1_b2_b3_prod_prod_ell2'] : 75.38/10.86 ( iProver_Flat_'fun_app$aa'(X0_'B1_b2_prod_b3_prod_ell2',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_fun',X0_'B1_b2_b3_prod_prod_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_prod_b3_prod_ell2'=iProver_Domain_'B1_b2_prod_b3_prod_ell2'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'B1_b2_b3_prod_prod_ell2'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_prod_b3_prod_ell2'=iProver_Domain_'B1_b2_prod_b3_prod_ell2'_1 & X0_'B1_b2_b3_prod_prod_ell2'=iProver_Domain_'B1_b2_b3_prod_prod_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'zero$am' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'zero$am'(X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'adj$' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'adj$'(X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 & X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 & 75.38/10.86 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$ct' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$ct'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 & X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 & X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_apply$ad' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_apply$ad'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 & 75.38/10.86 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_cblinfun'!=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 & X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_apply$s' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B2_b3_prod_ell2',X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2'] : 75.38/10.86 ( iProver_Flat_'cblinfun_apply$s'(X0_'B2_b3_prod_ell2',X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B2_b3_prod_ell2'=iProver_Domain_'B2_b3_prod_ell2'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'plus$ab' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X2_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'plus$ab'(X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X2_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X1_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X2_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 | 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 & 75.38/10.86 ( X1_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 | X2_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'butterfly$ai' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2',X1_'B1_b2_b3_prod_prod_ell2'] : 75.38/10.86 ( iProver_Flat_'butterfly$ai'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2',X1_'B1_b2_b3_prod_prod_ell2') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.86 ) 75.38/10.86 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ) 75.38/10.86 ). 75.38/10.86 75.38/10.86 %------ Positive definition of iProver_Flat_'cblinfun_compose$dm' 75.38/10.86 fof(lit_def,axiom, 75.38/10.86 (! [X0_'A1_a1_a3_prod_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_a3_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun',X0_'A1_a1_a3_prod_prod_ell2_a1_a1_prod_a3_prod_ell2_cblinfun'] : 75.38/10.86 ( iProver_Flat_'cblinfun_compose$dm'(X0_'A1_a1_a3_prod_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_a3_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun',X0_'A1_a1_a3_prod_prod_ell2_a1_a1_prod_a3_prod_ell2_cblinfun') <=> 75.38/10.86 ( 75.38/10.86 ( 75.38/10.86 ( X0_'A1_a1_a3_prod_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a3_prod_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A1_a1_a3_prod_prod_ell2_a1_a1_prod_a3_prod_ell2_cblinfun'!='assoc_ell2$e' ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a1_a3_prod_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a3_prod_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'_1 & X0_'A1_a1_a3_prod_prod_ell2_a1_a1_prod_a3_prod_ell2_cblinfun'='assoc_ell2$e' ) 75.38/10.87 & 75.38/10.87 ( X0_'A1_a1_prod_a3_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a1_prod_a3_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a1_a3_prod_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a3_prod_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'_2 & X0_'A1_a1_prod_a3_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a3_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'_1 & X0_'A1_a1_a3_prod_prod_ell2_a1_a1_prod_a3_prod_ell2_cblinfun'='assoc_ell2$e' ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$dw' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$dw'(X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 & X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 & X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 & X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$c' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'Unit_a2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$c'(X0_'Unit_a2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_a2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 | X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_a2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'tensor_op$ao' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a1_a3_prod_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X0_'A1_a3_prod_ell2_a1_a3_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'tensor_op$ao'(X0_'A1_a1_a3_prod_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X0_'A1_a3_prod_ell2_a1_a3_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a1_a3_prod_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a3_prod_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A1_a3_prod_ell2_a1_a3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a3_prod_ell2_a1_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a1_a3_prod_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a3_prod_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'_2 & X0_'A1_a3_prod_ell2_a1_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a3_prod_ell2_a1_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'d$' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'d$'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'assoc_ell2$k' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a1_prod_a1_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'assoc_ell2$k'(X0_'A1_a1_prod_a1_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a1_prod_a1_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a1_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'id_cblinfun$aa' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_cblinfun'] : 75.38/10.87 ( iProver_Flat_'id_cblinfun$aa'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'heterogenous_cblinfun_id$o' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B2_ell2_a2_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'heterogenous_cblinfun_id$o'(X0_'B2_ell2_a2_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B2_ell2_a2_ell2_cblinfun'=iProver_Domain_'B2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$cf' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'A2_ell2_b1_b2_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_a2_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$cf'(X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'A2_ell2_b1_b2_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_a2_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A2_ell2_b1_b2_prod_ell2_cblinfun'!=iProver_Domain_'A2_ell2_b1_b2_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'_1 & X0_'A2_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'A2_ell2_b1_b2_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'heterogenous_cblinfun_id$e' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'heterogenous_cblinfun_id$e'(X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_apply$ah' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B3_ell2',X0_'B3_ell2_b3_ell2_cblinfun',X1_'B3_ell2'] : 75.38/10.87 ( iProver_Flat_'cblinfun_apply$ah'(X0_'B3_ell2',X0_'B3_ell2_b3_ell2_cblinfun',X1_'B3_ell2') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B3_ell2'=iProver_Domain_'B3_ell2'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'zero$ah' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'zero$ah'(X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'plus$w' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X2_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'plus$w'(X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X2_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'fun_app$f' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A3_ell2_a3_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun',X0_'A3_ell2_a3_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'fun_app$f'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A3_ell2_a3_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun',X0_'A3_ell2_a3_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 & X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A3_ell2_a3_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'!=iProver_Domain_'A3_ell2_a3_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) 75.38/10.87 & 75.38/10.87 ( X0_'A3_ell2_a3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 & X0_'A3_ell2_a3_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'_1 & X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'zero$g' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A3_ell2_a3_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'zero$g'(X0_'A3_ell2_a3_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'psi_n$' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_ell2'] : 75.38/10.87 ( iProver_Flat_'psi_n$'(X0_'B1_ell2') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_ell2'=iProver_Domain_'B1_ell2'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'fun_app$g' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A3_ell2_a3_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun',X0_'A2_ell2_a2_ell2_cblinfun_a3_ell2_a3_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun_fun',X0_'A2_ell2_a2_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'fun_app$g'(X0_'A3_ell2_a3_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun',X0_'A2_ell2_a2_ell2_cblinfun_a3_ell2_a3_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun_fun',X0_'A2_ell2_a2_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A3_ell2_a3_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'_1 & X0_'A2_ell2_a2_ell2_cblinfun_a3_ell2_a3_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun_fun'='tensor_op$c' & X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A3_ell2_a3_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'_2 ) 75.38/10.87 & 75.38/10.87 ( X0_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 | X0_'A2_ell2_a2_ell2_cblinfun_a3_ell2_a3_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun_fun'!='tensor_op$c' ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'tensor_op$ae' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_a1_a2_prod_ell2_cblinfun',X0_'B3_ell2_a3_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'tensor_op$ae'(X0_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_a1_a2_prod_ell2_cblinfun',X0_'B3_ell2_a3_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'butterfly$ag' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun',X0_'B1_b3_prod_ell2',X0_'B1_a3_prod_ell2'] : 75.38/10.87 ( iProver_Flat_'butterfly$ag'(X0_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun',X0_'B1_b3_prod_ell2',X0_'B1_a3_prod_ell2') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'tensor_op$an' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a1_prod_a3_prod_ell2_a1_a1_prod_a3_prod_ell2_cblinfun',X0_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun',X0_'A3_ell2_a3_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'tensor_op$an'(X0_'A1_a1_prod_a3_prod_ell2_a1_a1_prod_a3_prod_ell2_cblinfun',X0_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun',X0_'A3_ell2_a3_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a1_prod_a3_prod_ell2_a1_a1_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a3_prod_ell2_a1_a1_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun'!=iProver_Domain_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a1_prod_a3_prod_ell2_a1_a1_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a3_prod_ell2_a1_a1_prod_a3_prod_ell2_cblinfun'_1 & X0_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$cm' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B2_ell2_b2_ell2_cblinfun',X0_'A1_a2_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a1_a2_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$cm'(X0_'B2_ell2_b2_ell2_cblinfun',X0_'A1_a2_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a1_a2_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'B2_ell2_a1_a2_prod_ell2_cblinfun'!=iProver_Domain_'B2_ell2_a1_a2_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_2 & X0_'B2_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'B2_ell2_a1_a2_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'zero$m' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b1_prod_ell2'] : 75.38/10.87 ( iProver_Flat_'zero$m'(X0_'B1_b1_prod_ell2') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b1_prod_ell2'=iProver_Domain_'B1_b1_prod_ell2'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$i' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'Unit_ell2_a3_ell2_cblinfun',X1_'Unit_ell2_a3_ell2_cblinfun',X0_'Unit_ell2_unit_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$i'(X0_'Unit_ell2_a3_ell2_cblinfun',X1_'Unit_ell2_a3_ell2_cblinfun',X0_'Unit_ell2_unit_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 & X0_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X1_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 & X1_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 & X0_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_2 ) 75.38/10.87 & 75.38/10.87 ( X0_'Unit_ell2_unit_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'Unit_ell2_unit_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 | X1_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$aa' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$aa'(X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$dy' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$dy'(X0_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 & X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'B1_b2_b3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_2 & X0_'B1_b2_b3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 & X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$ca' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B3_ell2_a1_ell2_cblinfun',X0_'Complex_a1_ell2_cblinfun',X0_'B3_ell2_complex_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$ca'(X0_'B3_ell2_a1_ell2_cblinfun',X0_'Complex_a1_ell2_cblinfun',X0_'B3_ell2_complex_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B3_ell2_a1_ell2_cblinfun'=iProver_Domain_'B3_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'B3_ell2_complex_cblinfun'!=iProver_Domain_'B3_ell2_complex_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'B3_ell2_a1_ell2_cblinfun'=iProver_Domain_'B3_ell2_a1_ell2_cblinfun'_1 & X0_'B3_ell2_complex_cblinfun'=iProver_Domain_'B3_ell2_complex_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$dp' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a1_prod_a2_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun',X1_'A1_a1_prod_a2_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_a2_prod_ell2_a1_a1_prod_a2_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$dp'(X0_'A1_a1_prod_a2_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun',X1_'A1_a1_prod_a2_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_a2_prod_ell2_a1_a1_prod_a2_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a1_prod_a2_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a2_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A1_a1_prod_a2_prod_ell2_a1_a1_prod_a2_prod_ell2_cblinfun'!=iProver_Domain_'A1_a1_prod_a2_prod_ell2_a1_a1_prod_a2_prod_ell2_cblinfun'_1 | X1_'A1_a1_prod_a2_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a1_prod_a2_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a1_prod_a2_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a2_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun'_1 & X1_'A1_a1_prod_a2_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a2_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun'_1 & X0_'A1_a1_prod_a2_prod_ell2_a1_a1_prod_a2_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a2_prod_ell2_a1_a1_prod_a2_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$g' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'B2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$g'(X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'B2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'butterfly$am' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2',X0_'A1_a2_a3_prod_prod_ell2'] : 75.38/10.87 ( iProver_Flat_'butterfly$am'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2',X0_'A1_a2_a3_prod_prod_ell2') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'tensor_op$x' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun',X0_'Unit_ell2_unit_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'tensor_op$x'(X0_'B2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun',X0_'Unit_ell2_unit_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'=iProver_Domain_'B2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_inv$c' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A2_ell2_a2_ell2_cblinfun',X1_'A2_ell2_a2_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_inv$c'(X0_'A2_ell2_a2_ell2_cblinfun',X1_'A2_ell2_a2_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 & X1_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_2 ) 75.38/10.87 & 75.38/10.87 ( X1_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$ea' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$ea'(X0_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_2 ) 75.38/10.87 & 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$er' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'Unit_ell2_b3_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun',X0_'Unit_ell2_a3_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$er'(X0_'Unit_ell2_b3_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun',X0_'Unit_ell2_a3_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 & X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_apply$a' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_ell2',X0_'B1_ell2_b1_ell2_cblinfun',X1_'B1_ell2'] : 75.38/10.87 ( iProver_Flat_'cblinfun_apply$a'(X0_'B1_ell2',X0_'B1_ell2_b1_ell2_cblinfun',X1_'B1_ell2') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_ell2'=iProver_Domain_'B1_ell2'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$be' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'Complex_complex_cblinfun',X0_'A1_ell2_complex_cblinfun',X0_'Complex_a1_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$be'(X0_'Complex_complex_cblinfun',X0_'A1_ell2_complex_cblinfun',X0_'Complex_a1_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'Complex_complex_cblinfun'=iProver_Domain_'Complex_complex_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'zero$an' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'zero$an'(X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'id_cblinfun$r' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'id_cblinfun$r'(X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_apply$c' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_ell2',X0_'A1_ell2_b1_ell2_cblinfun',X0_'A1_ell2'] : 75.38/10.87 ( iProver_Flat_'cblinfun_apply$c'(X0_'B1_ell2',X0_'A1_ell2_b1_ell2_cblinfun',X0_'A1_ell2') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_ell2'=iProver_Domain_'B1_ell2'_2 ) 75.38/10.87 & 75.38/10.87 ( X0_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'B1_ell2'=iProver_Domain_'B1_ell2'_2 & X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'zero$' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_ell2'] : 75.38/10.87 ( iProver_Flat_'zero$'(X0_'B1_ell2') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_ell2'=iProver_Domain_'B1_ell2'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'plus$h' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_ell2_a1_ell2_cblinfun',X1_'A1_ell2_a1_ell2_cblinfun',X2_'A1_ell2_a1_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'plus$h'(X0_'A1_ell2_a1_ell2_cblinfun',X1_'A1_ell2_a1_ell2_cblinfun',X2_'A1_ell2_a1_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 & X1_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X2_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 & X1_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 & X2_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_2 ) 75.38/10.87 & 75.38/10.87 ( X1_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X1_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 | X2_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X2_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_2 & X2_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X1_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$bw' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_ell2_b1_ell2_cblinfun',X0_'Complex_b1_ell2_cblinfun',X0_'A1_ell2_complex_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$bw'(X0_'A1_ell2_b1_ell2_cblinfun',X0_'Complex_b1_ell2_cblinfun',X0_'A1_ell2_complex_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A1_ell2_complex_cblinfun'!=iProver_Domain_'A1_ell2_complex_cblinfun'_1 | X0_'Complex_b1_ell2_cblinfun'!=iProver_Domain_'Complex_b1_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'Complex_b1_ell2_cblinfun'!=iProver_Domain_'Complex_b1_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_2 & X0_'Complex_b1_ell2_cblinfun'=iProver_Domain_'Complex_b1_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_2 & X0_'Complex_b1_ell2_cblinfun'=iProver_Domain_'Complex_b1_ell2_cblinfun'_1 & X0_'A1_ell2_complex_cblinfun'=iProver_Domain_'A1_ell2_complex_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$ds' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a1_a1_prod_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_a1_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun',X0_'A1_a1_a1_prod_prod_ell2_a1_a1_prod_a1_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$ds'(X0_'A1_a1_a1_prod_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_a1_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun',X0_'A1_a1_a1_prod_prod_ell2_a1_a1_prod_a1_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a1_a1_prod_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a1_prod_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$ba' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$ba'(X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cadjoint$a' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_fun',X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'] : 75.38/10.87 ( iProver_Flat_'cadjoint$a'(X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_fun',X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_fun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_fun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_fun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'adj$s' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'adj$s'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.87 & 75.38/10.87 ( X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'adj$bm' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A2_ell2_a1_a2_prod_ell2_cblinfun',X0_'A1_a2_prod_ell2_a2_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'adj$bm'(X0_'A2_ell2_a1_a2_prod_ell2_cblinfun',X0_'A1_a2_prod_ell2_a2_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A2_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_ell2_a1_a2_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$cu' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$cu'(X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 & X1_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 ) 75.38/10.87 & 75.38/10.87 ( X1_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'id_cblinfun$x' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'id_cblinfun$x'(X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'vector_to_cblinfun$e' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'Complex_a3_ell2_cblinfun',X0_'A3_ell2'] : 75.38/10.87 ( iProver_Flat_'vector_to_cblinfun$e'(X0_'Complex_a3_ell2_cblinfun',X0_'A3_ell2') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'Complex_a3_ell2_cblinfun'=iProver_Domain_'Complex_a3_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'swap_ell2$b' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'swap_ell2$b'(X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'tensor_ell2$e' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B3_b1_prod_ell2',X0_'B3_ell2',X0_'B1_ell2'] : 75.38/10.87 ( iProver_Flat_'tensor_ell2$e'(X0_'B3_b1_prod_ell2',X0_'B3_ell2',X0_'B1_ell2') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B3_b1_prod_ell2'=iProver_Domain_'B3_b1_prod_ell2'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'tensor_op$ax' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_prod_unit_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun',X0_'Unit_ell2_a3_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'tensor_op$ax'(X0_'A1_a2_prod_unit_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun',X0_'Unit_ell2_a3_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_prod_unit_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_unit_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_apply$ai' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A3_ell2',X0_'B3_ell2_a3_ell2_cblinfun',X0_'B3_ell2'] : 75.38/10.87 ( iProver_Flat_'cblinfun_apply$ai'(X0_'A3_ell2',X0_'B3_ell2_a3_ell2_cblinfun',X0_'B3_ell2') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A3_ell2'=iProver_Domain_'A3_ell2'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'swap_ell2$' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'swap_ell2$'(X0_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$bm' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_ell2_a1_ell2_cblinfun',X1_'A1_ell2_a1_ell2_cblinfun',X2_'A1_ell2_a1_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$bm'(X0_'A1_ell2_a1_ell2_cblinfun',X1_'A1_ell2_a1_ell2_cblinfun',X2_'A1_ell2_a1_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 & X1_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X2_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 & X1_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 & X2_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 & X2_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X1_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_2 ) 75.38/10.87 & 75.38/10.87 ( X1_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X1_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 | X2_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X2_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$eg' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'Unit_ell2_b3_ell2_cblinfun',X1_'Unit_ell2_b3_ell2_cblinfun',X0_'Unit_ell2_unit_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$eg'(X0_'Unit_ell2_b3_ell2_cblinfun',X1_'Unit_ell2_b3_ell2_cblinfun',X0_'Unit_ell2_unit_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'Unit_ell2_unit_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 | X1_'Unit_ell2_b3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 & X1_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 & X0_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'adj$bn' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'adj$bn'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 & X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'tensor_op$ab' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'B3_ell2_b3_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'tensor_op$ab'(X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'B3_ell2_b3_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 ) 75.38/10.87 & 75.38/10.87 ( X0_'B3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'B3_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 & X0_'B3_ell2_b3_ell2_cblinfun'=iProver_Domain_'B3_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 & X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'_1 & X0_'B3_ell2_b3_ell2_cblinfun'=iProver_Domain_'B3_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'tensor_op$a' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun',X0_'B3_ell2_b3_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'tensor_op$a'(X0_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun',X0_'B3_ell2_b3_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 & X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'B3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'B3_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 & X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 & X0_'B3_ell2_b3_ell2_cblinfun'=iProver_Domain_'B3_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun'_2 ) 75.38/10.87 & 75.38/10.87 ( X0_'B3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'B3_ell2_b3_ell2_cblinfun'_1 | X0_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$n' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X1_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$n'(X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X1_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'_1 | X1_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'_1 | X1_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) 75.38/10.87 & 75.38/10.87 ( X1_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 & X1_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 & X1_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 & X0_'A2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 & X1_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 & X0_'A2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'adj$at' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'Complex_b1_ell2_cblinfun',X0_'B1_ell2_complex_cblinfun'] : 75.38/10.87 ( iProver_Flat_'adj$at'(X0_'Complex_b1_ell2_cblinfun',X0_'B1_ell2_complex_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'Complex_b1_ell2_cblinfun'=iProver_Domain_'Complex_b1_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'B1_ell2_complex_cblinfun'!=iProver_Domain_'B1_ell2_complex_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'Complex_b1_ell2_cblinfun'=iProver_Domain_'Complex_b1_ell2_cblinfun'_2 & X0_'B1_ell2_complex_cblinfun'=iProver_Domain_'B1_ell2_complex_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$ag' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X1_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$ag'(X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X1_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'tensor_op$bd' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A3_a1_prod_ell2_b3_a1_prod_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'tensor_op$bd'(X0_'A3_a1_prod_ell2_b3_a1_prod_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A3_a1_prod_ell2_b3_a1_prod_ell2_cblinfun'=iProver_Domain_'A3_a1_prod_ell2_b3_a1_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'id_cblinfun$g' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B2_a2_prod_ell2_b2_a2_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'id_cblinfun$g'(X0_'B2_a2_prod_ell2_b2_a2_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B2_a2_prod_ell2_b2_a2_prod_ell2_cblinfun'=iProver_Domain_'B2_a2_prod_ell2_b2_a2_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'id_cblinfun$z' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_cblinfun'] : 75.38/10.87 ( iProver_Flat_'id_cblinfun$z'(X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$bo' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A3_a2_prod_ell2_a3_a2_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun',X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$bo'(X0_'A3_a2_prod_ell2_a3_a2_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun',X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A3_a2_prod_ell2_a3_a2_prod_ell2_cblinfun'=iProver_Domain_'A3_a2_prod_ell2_a3_a2_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 | X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A3_a2_prod_ell2_a3_a2_prod_ell2_cblinfun'=iProver_Domain_'A3_a2_prod_ell2_a3_a2_prod_ell2_cblinfun'_1 & X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'_1 & X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'phi$a' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A3_ell2'] : 75.38/10.87 ( iProver_Flat_'phi$a'(X0_'A3_ell2') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A3_ell2'=iProver_Domain_'A3_ell2'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$ci' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B2_ell2_b2_ell2_cblinfun',X0_'A2_a3_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a2_a3_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$ci'(X0_'B2_ell2_b2_ell2_cblinfun',X0_'A2_a3_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a2_a3_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'tensor_ell2$v' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a1_prod_ell2',X0_'A1_ell2',X1_'A1_ell2'] : 75.38/10.87 ( iProver_Flat_'tensor_ell2$v'(X0_'A1_a1_prod_ell2',X0_'A1_ell2',X1_'A1_ell2') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a1_prod_ell2'=iProver_Domain_'A1_a1_prod_ell2'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$cl' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun',X0_'B2_ell2_a1_a2_prod_ell2_cblinfun',X0_'A1_a2_prod_ell2_b2_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$cl'(X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun',X0_'B2_ell2_a1_a2_prod_ell2_cblinfun',X0_'A1_a2_prod_ell2_b2_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'swap_ell2$e' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'swap_ell2$e'(X0_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'tensor_op$o' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_prod_a2_prod_ell2_b1_b2_prod_a2_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'tensor_op$o'(X0_'B1_b2_prod_a2_prod_ell2_b1_b2_prod_a2_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_prod_a2_prod_ell2_b1_b2_prod_a2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_a2_prod_ell2_b1_b2_prod_a2_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'id$c' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun'] : 75.38/10.87 ( iProver_Flat_'id$c'(X0_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'tensor_op$bc' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun',X0_'A3_ell2_a3_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'tensor_op$bc'(X0_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun',X0_'A3_ell2_a3_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun'=iProver_Domain_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'adj$ba' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun',X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'adj$ba'(X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun',X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'_1 & X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'plus$g' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A3_ell2_a3_ell2_cblinfun',X1_'A3_ell2_a3_ell2_cblinfun',X2_'A3_ell2_a3_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'plus$g'(X0_'A3_ell2_a3_ell2_cblinfun',X1_'A3_ell2_a3_ell2_cblinfun',X2_'A3_ell2_a3_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 & X1_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X2_'A3_ell2_a3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 & X1_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 & X2_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_2 ) 75.38/10.87 & 75.38/10.87 ( X1_'A3_ell2_a3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X1_'A3_ell2_a3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 | X2_'A3_ell2_a3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'tensor_ell2$c' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B3_b3_prod_ell2',X0_'B3_ell2',X1_'B3_ell2'] : 75.38/10.87 ( iProver_Flat_'tensor_ell2$c'(X0_'B3_b3_prod_ell2',X0_'B3_ell2',X1_'B3_ell2') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B3_b3_prod_ell2'=iProver_Domain_'B3_b3_prod_ell2'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'adj$a' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'B2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'adj$a'(X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'B2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'adj$t' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_ell2_a1_ell2_cblinfun',X1_'A1_ell2_a1_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'adj$t'(X0_'A1_ell2_a1_ell2_cblinfun',X1_'A1_ell2_a1_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 & X1_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_2 ) 75.38/10.87 & 75.38/10.87 ( X1_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_apply$r' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_b3_prod_prod_ell2',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2'] : 75.38/10.87 ( iProver_Flat_'cblinfun_apply$r'(X0_'B1_b2_b3_prod_prod_ell2',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_b3_prod_prod_ell2'=iProver_Domain_'B1_b2_b3_prod_prod_ell2'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.87 & 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_b3_prod_prod_ell2'=iProver_Domain_'B1_b2_b3_prod_prod_ell2'_1 & X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_b3_prod_prod_ell2'=iProver_Domain_'B1_b2_b3_prod_prod_ell2'_1 & X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_b3_prod_prod_ell2'=iProver_Domain_'B1_b2_b3_prod_prod_ell2'_1 & X0_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'tensor_op$al' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a1_a3_prod_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X0_'A1_a3_prod_ell2_a1_b3_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'tensor_op$al'(X0_'A1_a1_a3_prod_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X0_'A1_a3_prod_ell2_a1_b3_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a1_a3_prod_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a3_prod_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$dq' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a1_a1_prod_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_a1_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun',X0_'A1_a1_a1_prod_prod_ell2_a1_a1_prod_a1_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$dq'(X0_'A1_a1_a1_prod_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_a1_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun',X0_'A1_a1_a1_prod_prod_ell2_a1_a1_prod_a1_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a1_a1_prod_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a1_prod_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A1_a1_a1_prod_prod_ell2_a1_a1_prod_a1_prod_ell2_cblinfun'!='assoc_ell2$j' ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a1_a1_prod_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a1_prod_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun'_1 & X0_'A1_a1_a1_prod_prod_ell2_a1_a1_prod_a1_prod_ell2_cblinfun'='assoc_ell2$j' ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'tensor_op$aa' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_ell2_unit_ell2_cblinfun',X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'tensor_op$aa'(X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_ell2_unit_ell2_cblinfun',X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'Unit_ell2_unit_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 | X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 & X0_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 & X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'fun_app$o' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun',X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun_fun',X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'fun_app$o'(X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun',X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun_fun',X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun_fun'!='cblinfun_compose$ak' ) 75.38/10.87 & 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun_fun'!='cblinfun_compose$ak' | X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun'_1 & X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun_fun'='cblinfun_compose$ak' ) 75.38/10.87 & 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun'_2 & X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun_fun'='cblinfun_compose$ak' & X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$ab' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$ab'(X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_2 & X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'adj$v' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'adj$v'(X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 & X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 ) 75.38/10.87 & 75.38/10.87 ( X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'assoc_ell2$f' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a1_prod_a3_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'assoc_ell2$f'(X0_'A1_a1_prod_a3_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a1_prod_a3_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a3_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'adj$av' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A3_ell2_complex_cblinfun',X0_'Complex_a3_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'adj$av'(X0_'A3_ell2_complex_cblinfun',X0_'Complex_a3_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A3_ell2_complex_cblinfun'=iProver_Domain_'A3_ell2_complex_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'Complex_a3_ell2_cblinfun'!=iProver_Domain_'Complex_a3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A3_ell2_complex_cblinfun'=iProver_Domain_'A3_ell2_complex_cblinfun'_2 & X0_'Complex_a3_ell2_cblinfun'=iProver_Domain_'Complex_a3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$bd' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'Complex_complex_cblinfun',X0_'A3_ell2_complex_cblinfun',X0_'Complex_a3_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$bd'(X0_'Complex_complex_cblinfun',X0_'A3_ell2_complex_cblinfun',X0_'Complex_a3_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'Complex_complex_cblinfun'=iProver_Domain_'Complex_complex_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'tensor_op$ac' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun',X0_'A3_ell2_a3_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'tensor_op$ac'(X0_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun',X0_'A3_ell2_a3_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 & X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_2 & X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 & X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_2 ) 75.38/10.87 & 75.38/10.87 ( X0_'A3_ell2_a3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_2 & X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 & X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$cn' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun',X0_'A2_ell2_a1_a2_prod_ell2_cblinfun',X0_'A1_a2_prod_ell2_a2_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$cn'(X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun',X0_'A2_ell2_a1_a2_prod_ell2_cblinfun',X0_'A1_a2_prod_ell2_a2_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A2_ell2_a1_a2_prod_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a1_a2_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 & X0_'A2_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_ell2_a1_a2_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_apply$u' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_fun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_apply$u'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_fun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_fun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_fun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'tensor_op$aw' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a1_a1_prod_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X0_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'tensor_op$aw'(X0_'A1_a1_a1_prod_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X0_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a1_a1_prod_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a1_prod_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun'!=iProver_Domain_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a1_a1_prod_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a1_prod_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun'_2 & X0_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'fun_app$ac' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_a3_prod_prod_ell2',X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_fun',X0_'A1_a2_prod_a3_prod_ell2'] : 75.38/10.87 ( iProver_Flat_'fun_app$ac'(X0_'A1_a2_a3_prod_prod_ell2',X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_fun',X0_'A1_a2_prod_a3_prod_ell2') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A1_a2_prod_a3_prod_ell2'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 & X0_'A1_a2_prod_a3_prod_ell2'=iProver_Domain_'A1_a2_prod_a3_prod_ell2'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'adj$bo' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'adj$bo'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_2 & X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'b12$' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'b12$'(X0_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$bq' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun',X1_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun',X2_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$bq'(X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun',X1_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun',X2_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_apply$ab' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_prod_b3_prod_ell2',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2'] : 75.38/10.87 ( iProver_Flat_'cblinfun_apply$ab'(X0_'B1_b2_prod_b3_prod_ell2',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_prod_b3_prod_ell2'=iProver_Domain_'B1_b2_prod_b3_prod_ell2'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'heterogenous_cblinfun_id$k' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A2_a3_prod_ell2_a2_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'heterogenous_cblinfun_id$k'(X0_'A2_a3_prod_ell2_a2_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A2_a3_prod_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$f' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'Unit_ell2_unit_ell2_cblinfun',X1_'Unit_ell2_unit_ell2_cblinfun',X2_'Unit_ell2_unit_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$f'(X0_'Unit_ell2_unit_ell2_cblinfun',X1_'Unit_ell2_unit_ell2_cblinfun',X2_'Unit_ell2_unit_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'plus$m' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X2_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'plus$m'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X2_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 & X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X2_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 & X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 & X2_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) 75.38/10.87 & 75.38/10.87 ( X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 | X2_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$ef' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'Unit_ell2_b1_ell2_cblinfun',X1_'Unit_ell2_b1_ell2_cblinfun',X0_'Unit_ell2_unit_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$ef'(X0_'Unit_ell2_b1_ell2_cblinfun',X1_'Unit_ell2_b1_ell2_cblinfun',X0_'Unit_ell2_unit_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 & X1_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 & X0_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_2 ) 75.38/10.87 & 75.38/10.87 ( X0_'Unit_ell2_unit_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 | X1_'Unit_ell2_b1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'assoc_ell2$a' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'assoc_ell2$a'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'zero$k' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'Unit_ell2_a1_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'zero$k'(X0_'Unit_ell2_a1_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'butterfly$y' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'Unit_ell2_a3_ell2_cblinfun',X0_'A3_ell2',X0_'Unit_ell2'] : 75.38/10.87 ( iProver_Flat_'butterfly$y'(X0_'Unit_ell2_a3_ell2_cblinfun',X0_'A3_ell2',X0_'Unit_ell2') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$cr' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$cr'(X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X1_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X0_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 & X0_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X1_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'tensor_op$at' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a1_a1_prod_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X0_'A1_a1_prod_ell2_a1_b1_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'tensor_op$at'(X0_'A1_a1_a1_prod_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X0_'A1_a1_prod_ell2_a1_b1_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a1_a1_prod_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a1_prod_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'tensor_op$u' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun',X0_'A3_ell2_unit_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'tensor_op$u'(X0_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun',X0_'A3_ell2_unit_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun'_1 & X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun'_1 & X0_'A3_ell2_unit_ell2_cblinfun'=iProver_Domain_'A3_ell2_unit_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun'_2 ) 75.38/10.87 & 75.38/10.87 ( X0_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A3_ell2_unit_ell2_cblinfun'!=iProver_Domain_'A3_ell2_unit_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_apply$k' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B2_ell2_b2_ell2_fun',X0_'B2_ell2_b2_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_apply$k'(X0_'B2_ell2_b2_ell2_fun',X0_'B2_ell2_b2_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B2_ell2_b2_ell2_fun'=iProver_Domain_'B2_ell2_b2_ell2_fun'_2 ) 75.38/10.87 & 75.38/10.87 ( X0_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'B2_ell2_b2_ell2_fun'=iProver_Domain_'B2_ell2_b2_ell2_fun'_2 & X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$bp' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A2_a1_prod_ell2_a2_a1_prod_ell2_cblinfun',X0_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun',X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$bp'(X0_'A2_a1_prod_ell2_a2_a1_prod_ell2_cblinfun',X0_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun',X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A2_a1_prod_ell2_a2_a1_prod_ell2_cblinfun'=iProver_Domain_'A2_a1_prod_ell2_a2_a1_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'!=iProver_Domain_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A2_a1_prod_ell2_a2_a1_prod_ell2_cblinfun'=iProver_Domain_'A2_a1_prod_ell2_a2_a1_prod_ell2_cblinfun'_2 & X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'adj$aa' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun',X1_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'adj$aa'(X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun',X1_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'assoc_ell20$c' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_fun'] : 75.38/10.87 ( iProver_Flat_'assoc_ell20$c'(X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_fun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_fun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_fun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'id$i' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A2_ell2_a2_ell2_fun'] : 75.38/10.87 ( iProver_Flat_'id$i'(X0_'A2_ell2_a2_ell2_fun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A2_ell2_a2_ell2_fun'=iProver_Domain_'A2_ell2_a2_ell2_fun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$af' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X1_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$af'(X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X1_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'heterogenous_cblinfun_id$m' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_prod_ell2_a2_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'heterogenous_cblinfun_id$m'(X0_'A1_a2_prod_ell2_a2_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_prod_ell2_a2_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'plus$r' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A2_ell2_a2_ell2_cblinfun',X1_'A2_ell2_a2_ell2_cblinfun',X2_'A2_ell2_a2_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'plus$r'(X0_'A2_ell2_a2_ell2_cblinfun',X1_'A2_ell2_a2_ell2_cblinfun',X2_'A2_ell2_a2_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 & X1_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X2_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 & X1_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 & X2_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_2 ) 75.38/10.87 & 75.38/10.87 ( X1_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X1_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 | X2_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X2_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_2 & X2_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X1_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$ck' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A2_ell2_a2_ell2_cblinfun',X0_'A2_a3_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_a2_a3_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$ck'(X0_'A2_ell2_a2_ell2_cblinfun',X0_'A2_a3_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_a2_a3_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'assoc_ell20$b' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'] : 75.38/10.87 ( iProver_Flat_'assoc_ell20$b'(X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_fun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_apply$w' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_fun',X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_apply$w'(X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_fun',X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_fun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_fun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$eh' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'Unit_ell2_a1_ell2_cblinfun',X1_'Unit_ell2_a1_ell2_cblinfun',X0_'Unit_ell2_unit_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$eh'(X0_'Unit_ell2_a1_ell2_cblinfun',X1_'Unit_ell2_a1_ell2_cblinfun',X0_'Unit_ell2_unit_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 & X1_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 & X0_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_2 ) 75.38/10.87 & 75.38/10.87 ( X0_'Unit_ell2_unit_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 | X1_'Unit_ell2_a1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'phi$' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B3_ell2'] : 75.38/10.87 ( iProver_Flat_'phi$'(X0_'B3_ell2') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B3_ell2'=iProver_Domain_'B3_ell2'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_inv$d' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_b1_b2_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_inv$d'(X0_'B1_b2_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_b1_b2_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_prod_ell2_b2_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'adj$bf' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B3_ell2_complex_cblinfun',X0_'Complex_b3_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'adj$bf'(X0_'B3_ell2_complex_cblinfun',X0_'Complex_b3_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B3_ell2_complex_cblinfun'=iProver_Domain_'B3_ell2_complex_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'adj$g' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun',X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'adj$g'(X0_'B2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun',X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'=iProver_Domain_'B2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$eo' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'Unit_ell2_b3_ell2_cblinfun',X0_'B1_ell2_b3_ell2_cblinfun',X0_'Unit_ell2_b1_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$eo'(X0_'Unit_ell2_b3_ell2_cblinfun',X0_'B1_ell2_b3_ell2_cblinfun',X0_'Unit_ell2_b1_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'Unit_ell2_b1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 & X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$bv' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A3_ell2_b3_ell2_cblinfun',X0_'Complex_b3_ell2_cblinfun',X0_'A3_ell2_complex_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$bv'(X0_'A3_ell2_b3_ell2_cblinfun',X0_'Complex_b3_ell2_cblinfun',X0_'A3_ell2_complex_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 & X0_'A3_ell2_complex_cblinfun'=iProver_Domain_'A3_ell2_complex_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_2 ) 75.38/10.87 & 75.38/10.87 ( X0_'A3_ell2_complex_cblinfun'!=iProver_Domain_'A3_ell2_complex_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$ay' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B3_ell2_a1_ell2_cblinfun',X0_'Unit_ell2_a1_ell2_cblinfun',X0_'B3_ell2_unit_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$ay'(X0_'B3_ell2_a1_ell2_cblinfun',X0_'Unit_ell2_a1_ell2_cblinfun',X0_'B3_ell2_unit_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B3_ell2_a1_ell2_cblinfun'=iProver_Domain_'B3_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'B3_ell2_unit_ell2_cblinfun'!=iProver_Domain_'B3_ell2_unit_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'B3_ell2_a1_ell2_cblinfun'=iProver_Domain_'B3_ell2_a1_ell2_cblinfun'_1 & X0_'B3_ell2_unit_ell2_cblinfun'=iProver_Domain_'B3_ell2_unit_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'tensor_ell2$q' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_prod_ell2',X0_'B1_ell2',X0_'B2_ell2'] : 75.38/10.87 ( iProver_Flat_'tensor_ell2$q'(X0_'B1_b2_prod_ell2',X0_'B1_ell2',X0_'B2_ell2') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_prod_ell2'=iProver_Domain_'B1_b2_prod_ell2'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'tensor_ell2$w' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_b3_prod_ell2',X0_'A1_ell2',X0_'B3_ell2'] : 75.38/10.87 ( iProver_Flat_'tensor_ell2$w'(X0_'A1_b3_prod_ell2',X0_'A1_ell2',X0_'B3_ell2') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_b3_prod_ell2'=iProver_Domain_'A1_b3_prod_ell2'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_apply$ao' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_ell2',X0_'B3_ell2_a1_ell2_cblinfun',X0_'B3_ell2'] : 75.38/10.87 ( iProver_Flat_'cblinfun_apply$ao'(X0_'A1_ell2',X0_'B3_ell2_a1_ell2_cblinfun',X0_'B3_ell2') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_ell2'=iProver_Domain_'A1_ell2'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'tensor_op$n' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_prod_b2_prod_ell2_b1_b2_prod_b2_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'tensor_op$n'(X0_'B1_b2_prod_b2_prod_ell2_b1_b2_prod_b2_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_prod_b2_prod_ell2_b1_b2_prod_b2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b2_prod_ell2_b1_b2_prod_b2_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_prod_b2_prod_ell2_b1_b2_prod_b2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b2_prod_ell2_b1_b2_prod_b2_prod_ell2_cblinfun'_1 & X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'plus$d' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A3_ell2_b3_ell2_cblinfun',X1_'A3_ell2_b3_ell2_cblinfun',X2_'A3_ell2_b3_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'plus$d'(X0_'A3_ell2_b3_ell2_cblinfun',X1_'A3_ell2_b3_ell2_cblinfun',X2_'A3_ell2_b3_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 & X1_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 & X2_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_2 ) 75.38/10.87 & 75.38/10.87 ( X1_'A3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 | X2_'A3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X2_'A3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_2 & X2_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X1_'A3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'zero$d' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A3_ell2_b3_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'zero$d'(X0_'A3_ell2_b3_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'zero$aa' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'zero$aa'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_apply$af' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_b1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_apply$af'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_b1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.87 & 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_b1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_b1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_b1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_b1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_cblinfun'_1 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_inv$k' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'Complex_a3_ell2_cblinfun',X0_'A3_ell2_complex_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_inv$k'(X0_'Complex_a3_ell2_cblinfun',X0_'A3_ell2_complex_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'Complex_a3_ell2_cblinfun'=iProver_Domain_'Complex_a3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$du' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_prod_unit_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_unit_prod_prod_ell2_a1_a2_prod_unit_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$du'(X0_'A1_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_prod_unit_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_unit_prod_prod_ell2_a1_a2_prod_unit_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A1_a2_unit_prod_prod_ell2_a1_a2_prod_unit_prod_ell2_cblinfun'!='assoc_ell2$l' ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X0_'A1_a2_unit_prod_prod_ell2_a1_a2_prod_unit_prod_ell2_cblinfun'='assoc_ell2$l' ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'zero$q' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_b1_prod_ell2'] : 75.38/10.87 ( iProver_Flat_'zero$q'(X0_'A1_b1_prod_ell2') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_b1_prod_ell2'=iProver_Domain_'A1_b1_prod_ell2'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_apply$al' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_ell2',X0_'A3_ell2_b1_ell2_cblinfun',X0_'A3_ell2'] : 75.38/10.87 ( iProver_Flat_'cblinfun_apply$al'(X0_'B1_ell2',X0_'A3_ell2_b1_ell2_cblinfun',X0_'A3_ell2') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_ell2'=iProver_Domain_'B1_ell2'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$bc' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'Complex_complex_cblinfun',X0_'B1_ell2_complex_cblinfun',X0_'Complex_b1_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$bc'(X0_'Complex_complex_cblinfun',X0_'B1_ell2_complex_cblinfun',X0_'Complex_b1_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'Complex_complex_cblinfun'=iProver_Domain_'Complex_complex_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'B1_ell2_complex_cblinfun'!=iProver_Domain_'B1_ell2_complex_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'B1_ell2_complex_cblinfun'!=iProver_Domain_'B1_ell2_complex_cblinfun'_2 | X0_'Complex_b1_ell2_cblinfun'!=iProver_Domain_'Complex_b1_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'Complex_complex_cblinfun'=iProver_Domain_'Complex_complex_cblinfun'_2 & X0_'B1_ell2_complex_cblinfun'=iProver_Domain_'B1_ell2_complex_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'Complex_complex_cblinfun'=iProver_Domain_'Complex_complex_cblinfun'_2 & X0_'B1_ell2_complex_cblinfun'=iProver_Domain_'B1_ell2_complex_cblinfun'_2 & X0_'Complex_b1_ell2_cblinfun'=iProver_Domain_'Complex_b1_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'tensor_op$r' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun',X0_'Unit_ell2_a3_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'tensor_op$r'(X0_'B2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun',X0_'Unit_ell2_a3_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'B2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cadjoint$' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_fun',X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_fun'] : 75.38/10.87 ( iProver_Flat_'cadjoint$'(X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_fun',X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_fun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_fun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'tensor_ell2$s' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_prod_ell2',X0_'A1_ell2',X0_'A2_ell2'] : 75.38/10.87 ( iProver_Flat_'tensor_ell2$s'(X0_'A1_a2_prod_ell2',X0_'A1_ell2',X0_'A2_ell2') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_prod_ell2'=iProver_Domain_'A1_a2_prod_ell2'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'heterogenous_cblinfun_id$b' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_ell2_b1_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'heterogenous_cblinfun_id$b'(X0_'B1_ell2_b1_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'id_cblinfun$d' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_ell2_a1_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'id_cblinfun$d'(X0_'A1_ell2_a1_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$t' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X2_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$t'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X2_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'tensor_ell2$n' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_b3_prod_prod_ell2',X0_'B1_ell2',X0_'B2_b3_prod_ell2'] : 75.38/10.87 ( iProver_Flat_'tensor_ell2$n'(X0_'B1_b2_b3_prod_prod_ell2',X0_'B1_ell2',X0_'B2_b3_prod_ell2') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_b3_prod_prod_ell2'=iProver_Domain_'B1_b2_b3_prod_prod_ell2'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'adj$ad' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A3_ell2_b3_ell2_cblinfun',X0_'B3_ell2_a3_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'adj$ad'(X0_'A3_ell2_b3_ell2_cblinfun',X0_'B3_ell2_a3_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'B3_ell2_a3_ell2_cblinfun'!=iProver_Domain_'B3_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_2 & X0_'B3_ell2_a3_ell2_cblinfun'=iProver_Domain_'B3_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'c$' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'c$'(X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$bj' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$bj'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'zero$z' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'zero$z'(X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'vector_to_cblinfun$d' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'Complex_b3_ell2_cblinfun',X0_'B3_ell2'] : 75.38/10.87 ( iProver_Flat_'vector_to_cblinfun$d'(X0_'Complex_b3_ell2_cblinfun',X0_'B3_ell2') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'Complex_b3_ell2_cblinfun'=iProver_Domain_'Complex_b3_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$bx' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A2_ell2_a2_ell2_cblinfun',X0_'Complex_a2_ell2_cblinfun',X0_'A2_ell2_complex_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$bx'(X0_'A2_ell2_a2_ell2_cblinfun',X0_'Complex_a2_ell2_cblinfun',X0_'A2_ell2_complex_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A2_ell2_complex_cblinfun'!=iProver_Domain_'A2_ell2_complex_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 & X0_'A2_ell2_complex_cblinfun'=iProver_Domain_'A2_ell2_complex_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'zero$at' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'zero$at'(X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$et' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'Unit_ell2_a1_ell2_cblinfun',X0_'B3_ell2_a1_ell2_cblinfun',X0_'Unit_ell2_b3_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$et'(X0_'Unit_ell2_a1_ell2_cblinfun',X0_'B3_ell2_a1_ell2_cblinfun',X0_'Unit_ell2_b3_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'Unit_ell2_b3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_2 & X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'heterogenous_cblinfun_id$f' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'heterogenous_cblinfun_id$f'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'zero$ao' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'zero$ao'(X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_inv$p' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_ell2_complex_cblinfun',X0_'Complex_a1_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_inv$p'(X0_'A1_ell2_complex_cblinfun',X0_'Complex_a1_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_ell2_complex_cblinfun'=iProver_Domain_'A1_ell2_complex_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'phi_n$a' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A3_ell2'] : 75.38/10.87 ( iProver_Flat_'phi_n$a'(X0_'A3_ell2') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A3_ell2'=iProver_Domain_'A3_ell2'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'adj$bj' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B2_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_b2_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'adj$bj'(X0_'B2_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_b2_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B2_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'B2_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_apply$ae' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_b1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_apply$ae'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_b1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'swap_ell2$d' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'swap_ell2$d'(X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$h' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A2_ell2_a2_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun',X0_'A2_ell2_b2_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$h'(X0_'A2_ell2_a2_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun',X0_'A2_ell2_b2_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 & X0_'A2_ell2_b2_ell2_cblinfun'=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'plus$f' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_ell2_b1_ell2_cblinfun',X1_'A1_ell2_b1_ell2_cblinfun',X2_'A1_ell2_b1_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'plus$f'(X0_'A1_ell2_b1_ell2_cblinfun',X1_'A1_ell2_b1_ell2_cblinfun',X2_'A1_ell2_b1_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 & X1_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X2_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X2_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 & X1_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 & X2_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 & X1_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 & X2_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_2 ) 75.38/10.87 & 75.38/10.87 ( X1_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X1_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 | X2_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X1_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 | X2_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'zero$h' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_ell2_a1_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'zero$h'(X0_'A1_ell2_a1_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'zero$j' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'Unit_ell2_b3_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'zero$j'(X0_'Unit_ell2_b3_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'heterogenous_cblinfun_id$i' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A2_ell2_a2_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'heterogenous_cblinfun_id$i'(X0_'A2_ell2_a2_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'adj$bp' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'adj$bp'(X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'heterogenous_cblinfun_id$n' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A2_ell2_b2_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'heterogenous_cblinfun_id$n'(X0_'A2_ell2_b2_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A2_ell2_b2_ell2_cblinfun'=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'plus$k' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'Unit_ell2_a3_ell2_cblinfun',X1_'Unit_ell2_a3_ell2_cblinfun',X2_'Unit_ell2_a3_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'plus$k'(X0_'Unit_ell2_a3_ell2_cblinfun',X1_'Unit_ell2_a3_ell2_cblinfun',X2_'Unit_ell2_a3_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 & X1_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X2_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 & X1_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 & X2_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_2 ) 75.38/10.87 & 75.38/10.87 ( X1_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X1_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 | X2_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X2_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_2 & X2_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X1_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'tensor_op$ap' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a3_prod_ell2_a1_a3_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X0_'A3_ell2_a3_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'tensor_op$ap'(X0_'A1_a3_prod_ell2_a1_a3_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X0_'A3_ell2_a3_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a3_prod_ell2_a1_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a3_prod_ell2_a1_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'sandwich$d' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'sandwich$d'(X0_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$bg' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A3_ell2_a3_ell2_cblinfun',X0_'Complex_a3_ell2_cblinfun',X0_'A3_ell2_complex_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$bg'(X0_'A3_ell2_a3_ell2_cblinfun',X0_'Complex_a3_ell2_cblinfun',X0_'A3_ell2_complex_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$bs' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$bs'(X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'tensor_ell2$p' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_prod_b3_prod_ell2',X0_'B1_b2_prod_ell2',X0_'B3_ell2'] : 75.38/10.87 ( iProver_Flat_'tensor_ell2$p'(X0_'B1_b2_prod_b3_prod_ell2',X0_'B1_b2_prod_ell2',X0_'B3_ell2') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_prod_b3_prod_ell2'=iProver_Domain_'B1_b2_prod_b3_prod_ell2'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'fun_app$l' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun',X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'fun_app$l'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun',X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_1 & X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_2 & X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'!=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'!=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.87 & 75.38/10.87 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'!=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'!=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_1 | X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'!=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_2 | X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'zero$r' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a1_prod_ell2'] : 75.38/10.87 ( iProver_Flat_'zero$r'(X0_'A1_a1_prod_ell2') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a1_prod_ell2'=iProver_Domain_'A1_a1_prod_ell2'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'id_cblinfun$y' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'id_cblinfun$y'(X0_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'zero$aj' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'zero$aj'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_apply$x' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_b3_prod_prod_ell2',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X1_'B1_b2_b3_prod_prod_ell2'] : 75.38/10.87 ( iProver_Flat_'cblinfun_apply$x'(X0_'B1_b2_b3_prod_prod_ell2',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X1_'B1_b2_b3_prod_prod_ell2') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_b3_prod_prod_ell2'=iProver_Domain_'B1_b2_b3_prod_prod_ell2'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'tensor_ell2$a' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A2_unit_prod_ell2',X0_'A2_ell2',X0_'Unit_ell2'] : 75.38/10.87 ( iProver_Flat_'tensor_ell2$a'(X0_'A2_unit_prod_ell2',X0_'A2_ell2',X0_'Unit_ell2') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A2_unit_prod_ell2'=iProver_Domain_'A2_unit_prod_ell2'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'sandwich$b' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_cblinfun',X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'sandwich$b'(X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_cblinfun',X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'heterogenous_cblinfun_id$c' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A3_ell2_a3_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'heterogenous_cblinfun_id$c'(X0_'A3_ell2_a3_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'tensor_op$as' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a1_prod_a1_prod_ell2_a1_a1_prod_b1_prod_ell2_cblinfun',X0_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun',X0_'A1_ell2_b1_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'tensor_op$as'(X0_'A1_a1_prod_a1_prod_ell2_a1_a1_prod_b1_prod_ell2_cblinfun',X0_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun',X0_'A1_ell2_b1_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a1_prod_a1_prod_ell2_a1_a1_prod_b1_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a1_prod_ell2_a1_a1_prod_b1_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun'!=iProver_Domain_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a1_prod_a1_prod_ell2_a1_a1_prod_b1_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a1_prod_ell2_a1_a1_prod_b1_prod_ell2_cblinfun'_1 & X0_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'adj$az' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'adj$az'(X0_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'heterogenous_cblinfun_id$a' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'heterogenous_cblinfun_id$a'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'adj$an' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'adj$an'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'zero$i' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'Unit_ell2_b1_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'zero$i'(X0_'Unit_ell2_b1_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'plus$ac' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X2_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'plus$ac'(X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X2_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'id$h' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B2_ell2_b2_ell2_fun'] : 75.38/10.87 ( iProver_Flat_'id$h'(X0_'B2_ell2_b2_ell2_fun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B2_ell2_b2_ell2_fun'=iProver_Domain_'B2_ell2_b2_ell2_fun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'sandwich$h' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'sandwich$h'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_cblinfun'_2 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$d' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'B2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X1_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$d'(X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'B2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X1_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'B2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'!=iProver_Domain_'B2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_2 & X0_'B2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'B2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$cx' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$cx'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 & X1_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 ) 75.38/10.87 & 75.38/10.87 ( X1_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'zero$c' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A3_ell2'] : 75.38/10.87 ( iProver_Flat_'zero$c'(X0_'A3_ell2') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A3_ell2'=iProver_Domain_'A3_ell2'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$eb' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$eb'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 | X1_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 | X1_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 & X1_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_2 & X1_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'id_cblinfun$u' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B2_b1_prod_ell2_b2_b1_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'id_cblinfun$u'(X0_'B2_b1_prod_ell2_b2_b1_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B2_b1_prod_ell2_b2_b1_prod_ell2_cblinfun'=iProver_Domain_'B2_b1_prod_ell2_b2_b1_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_inv$e' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_b1_b2_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_inv$e'(X0_'B1_b2_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_b1_b2_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_prod_ell2_a2_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'sandwich$f' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_b1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'sandwich$f'(X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_b1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_b1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_b1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'sandwich$g' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_b1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'sandwich$g'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_b1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_b1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_b1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_cblinfun'_1 & X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_b1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_b1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_cblinfun'_2 ) 75.38/10.87 & 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_apply$ap' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_fun',X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_apply$ap'(X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_fun',X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_fun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_fun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$aw' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A3_ell2_b3_ell2_cblinfun',X0_'Unit_ell2_b3_ell2_cblinfun',X0_'A3_ell2_unit_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$aw'(X0_'A3_ell2_b3_ell2_cblinfun',X0_'Unit_ell2_b3_ell2_cblinfun',X0_'A3_ell2_unit_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A3_ell2_unit_ell2_cblinfun'!=iProver_Domain_'A3_ell2_unit_ell2_cblinfun'_1 | X0_'Unit_ell2_b3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'Unit_ell2_b3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 & X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 & X0_'A3_ell2_unit_ell2_cblinfun'=iProver_Domain_'A3_ell2_unit_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_2 & X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A3_ell2_unit_ell2_cblinfun'!=iProver_Domain_'A3_ell2_unit_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'tensor_op$z' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'B1_ell2_unit_ell2_cblinfun',X0_'B2_b3_prod_ell2_b2_unit_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'tensor_op$z'(X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'B1_ell2_unit_ell2_cblinfun',X0_'B2_b3_prod_ell2_b2_unit_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'B1_ell2_unit_ell2_cblinfun'!=iProver_Domain_'B1_ell2_unit_ell2_cblinfun'_1 | X0_'B2_b3_prod_ell2_b2_unit_prod_ell2_cblinfun'!=iProver_Domain_'B2_b3_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 & X0_'B1_ell2_unit_ell2_cblinfun'=iProver_Domain_'B1_ell2_unit_ell2_cblinfun'_1 & X0_'B2_b3_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'B2_b3_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'sandwich$c' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'sandwich$c'(X0_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_cblinfun'_1 & X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'zero$ak' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'zero$ak'(X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'assoc_ell2$c' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'assoc_ell2$c'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'cblinfun_compose$au' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'B3_ell2_b3_ell2_cblinfun',X0_'Unit_ell2_b3_ell2_cblinfun',X0_'B3_ell2_unit_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'cblinfun_compose$au'(X0_'B3_ell2_b3_ell2_cblinfun',X0_'Unit_ell2_b3_ell2_cblinfun',X0_'B3_ell2_unit_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'B3_ell2_b3_ell2_cblinfun'=iProver_Domain_'B3_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'B3_ell2_unit_ell2_cblinfun'!=iProver_Domain_'B3_ell2_unit_ell2_cblinfun'_1 | X0_'Unit_ell2_b3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'B3_ell2_b3_ell2_cblinfun'=iProver_Domain_'B3_ell2_b3_ell2_cblinfun'_1 & X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 & X0_'B3_ell2_unit_ell2_cblinfun'=iProver_Domain_'B3_ell2_unit_ell2_cblinfun'_1 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ) 75.38/10.87 ). 75.38/10.87 75.38/10.87 %------ Positive definition of iProver_Flat_'tensor_op$y' 75.38/10.87 fof(lit_def,axiom, 75.38/10.87 (! [X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X0_'A1_ell2_unit_ell2_cblinfun',X0_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun'] : 75.38/10.87 ( iProver_Flat_'tensor_op$y'(X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X0_'A1_ell2_unit_ell2_cblinfun',X0_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun') <=> 75.38/10.87 ( 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A1_ell2_unit_ell2_cblinfun'!=iProver_Domain_'A1_ell2_unit_ell2_cblinfun'_1 ) 75.38/10.87 & 75.38/10.87 ( X0_'A1_ell2_unit_ell2_cblinfun'!=iProver_Domain_'A1_ell2_unit_ell2_cblinfun'_2 ) 75.38/10.87 ) 75.38/10.87 75.38/10.87 | 75.38/10.87 ( 75.38/10.87 ( X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 & X0_'A1_ell2_unit_ell2_cblinfun'=iProver_Domain_'A1_ell2_unit_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 & X0_'A1_ell2_unit_ell2_cblinfun'=iProver_Domain_'A1_ell2_unit_ell2_cblinfun'_2 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'fun_app$h' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'Unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun',X0_'Unit_ell2_a3_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'fun_app$h'(X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'Unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun',X0_'Unit_ell2_a3_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.88 & 75.38/10.88 ( X0_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.88 & 75.38/10.88 ( X0_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 | X0_'Unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'_1 ) 75.38/10.88 & 75.38/10.88 ( X0_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 | X0_'Unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'_2 ) 75.38/10.88 & 75.38/10.88 ( X0_'Unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'_1 ) 75.38/10.88 & 75.38/10.88 ( X0_'Unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'_2 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 & X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.88 & 75.38/10.88 ( X0_'Unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'_1 ) 75.38/10.88 & 75.38/10.88 ( X0_'Unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'_2 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 & X0_'Unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'_1 & X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 & X0_'Unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'_2 ) 75.38/10.88 & 75.38/10.88 ( X0_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 & X0_'Unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'_2 & X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 & X0_'Unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'_1 ) 75.38/10.88 & 75.38/10.88 ( X0_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'butterfly$ad' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun',X0_'B3_b1_prod_ell2',X0_'A3_a1_prod_ell2'] : 75.38/10.88 ( iProver_Flat_'butterfly$ad'(X0_'A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun',X0_'B3_b1_prod_ell2',X0_'A3_a1_prod_ell2') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun'=iProver_Domain_'A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun'_1 & X0_'A3_a1_prod_ell2'=iProver_Domain_'A3_a1_prod_ell2'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun'=iProver_Domain_'A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun'_2 ) 75.38/10.88 & 75.38/10.88 ( X0_'A3_a1_prod_ell2'!=iProver_Domain_'A3_a1_prod_ell2'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'cblinfun_compose$dl' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A1_a1_prod_a3_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_b3_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_a3_prod_ell2_a1_a1_prod_b3_prod_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'cblinfun_compose$dl'(X0_'A1_a1_prod_a3_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_b3_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_a3_prod_ell2_a1_a1_prod_b3_prod_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A1_a1_prod_a3_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a3_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.88 & 75.38/10.88 ( X0_'A1_a1_prod_b3_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun'!='assoc_ell2$d' ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'A1_a1_prod_a3_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a3_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun'_1 & X0_'A1_a1_prod_b3_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun'='assoc_ell2$d' ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'heterogenous_cblinfun_id$h' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'B2_ell2_b2_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'heterogenous_cblinfun_id$h'(X0_'B2_ell2_b2_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'cblinfun_compose$x' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'cblinfun_compose$x'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.88 & 75.38/10.88 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 & X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'cblinfun_apply$m' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'B2_unit_prod_ell2',X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'A2_unit_prod_ell2'] : 75.38/10.88 ( iProver_Flat_'cblinfun_apply$m'(X0_'B2_unit_prod_ell2',X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'A2_unit_prod_ell2') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'B2_unit_prod_ell2'=iProver_Domain_'B2_unit_prod_ell2'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'fun_app$d' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun',X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'fun_app$d'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun',X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun'_1 & X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.88 & 75.38/10.88 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun'_1 | X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'cblinfun_inv$f' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A2_a3_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a2_a3_prod_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'cblinfun_inv$f'(X0_'A2_a3_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a2_a3_prod_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A2_a3_prod_ell2_b2_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'zero$t' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A1_a3_prod_ell2'] : 75.38/10.88 ( iProver_Flat_'zero$t'(X0_'A1_a3_prod_ell2') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A1_a3_prod_ell2'=iProver_Domain_'A1_a3_prod_ell2'_2 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'zero$ap' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'zero$ap'(X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'fun_app$j' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'Unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun',X0_'Unit_ell2_unit_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'fun_app$j'(X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'Unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun',X0_'Unit_ell2_unit_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 & X0_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) 75.38/10.88 & 75.38/10.88 ( X0_'Unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun'!=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun'_1 ) 75.38/10.88 & 75.38/10.88 ( X0_'Unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun'!=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun'_2 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 & X0_'Unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun'_2 & X0_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_2 ) 75.38/10.88 & 75.38/10.88 ( X0_'Unit_ell2_unit_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) 75.38/10.88 & 75.38/10.88 ( X0_'Unit_ell2_unit_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 | X0_'Unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun'!=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun'_2 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_2 & X0_'Unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun'_1 & X0_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'butterfly$v' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A2_ell2_b2_ell2_cblinfun',X0_'B2_ell2',X0_'A2_ell2'] : 75.38/10.88 ( iProver_Flat_'butterfly$v'(X0_'A2_ell2_b2_ell2_cblinfun',X0_'B2_ell2',X0_'A2_ell2') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A2_ell2_b2_ell2_cblinfun'=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'fun_app$w' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A2_a3_prod_ell2',X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_fun',X1_'A2_a3_prod_ell2'] : 75.38/10.88 ( iProver_Flat_'fun_app$w'(X0_'A2_a3_prod_ell2',X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_fun',X1_'A2_a3_prod_ell2') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A2_a3_prod_ell2'=iProver_Domain_'A2_a3_prod_ell2'_1 & X1_'A2_a3_prod_ell2'=iProver_Domain_'A2_a3_prod_ell2'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'A2_a3_prod_ell2'=iProver_Domain_'A2_a3_prod_ell2'_2 ) 75.38/10.88 & 75.38/10.88 ( X1_'A2_a3_prod_ell2'!=iProver_Domain_'A2_a3_prod_ell2'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'cblinfun_compose$cg' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A2_ell2_a2_ell2_cblinfun',X0_'B1_b2_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_b1_b2_prod_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'cblinfun_compose$cg'(X0_'A2_ell2_a2_ell2_cblinfun',X0_'B1_b2_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_b1_b2_prod_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'tensor_op$i' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'tensor_op$i'(X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 & X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.88 & 75.38/10.88 ( X0_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 & X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.88 & 75.38/10.88 ( X0_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 & X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 & X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_2 ) 75.38/10.88 & 75.38/10.88 ( X0_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.88 & 75.38/10.88 ( X0_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'tensor_op$k' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'B2_a2_prod_ell2_b2_a2_prod_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'tensor_op$k'(X0_'B2_a2_prod_ell2_b2_a2_prod_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'B2_a2_prod_ell2_b2_a2_prod_ell2_cblinfun'=iProver_Domain_'B2_a2_prod_ell2_b2_a2_prod_ell2_cblinfun'_1 ) 75.38/10.88 & 75.38/10.88 ( X0_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'B2_a2_prod_ell2_b2_a2_prod_ell2_cblinfun'=iProver_Domain_'B2_a2_prod_ell2_b2_a2_prod_ell2_cblinfun'_1 & X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'adj$ah' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X1_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'adj$ah'(X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X1_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'cblinfun_apply$g' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'cblinfun_apply$g'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'_1 ) 75.38/10.88 & 75.38/10.88 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'_2 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'cblinfun_compose$el' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'Unit_ell2_b1_ell2_cblinfun',X0_'B3_ell2_b1_ell2_cblinfun',X0_'Unit_ell2_b3_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'cblinfun_compose$el'(X0_'Unit_ell2_b1_ell2_cblinfun',X0_'B3_ell2_b1_ell2_cblinfun',X0_'Unit_ell2_b3_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 & X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_2 ) 75.38/10.88 & 75.38/10.88 ( X0_'Unit_ell2_b3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'cblinfun_compose$cy' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X1_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'cblinfun_compose$cy'(X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X1_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 & X1_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 ) 75.38/10.88 & 75.38/10.88 ( X1_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'cblinfun_inv$m' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'cblinfun_inv$m'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'plus$t' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'Unit_ell2_b3_ell2_cblinfun',X1_'Unit_ell2_b3_ell2_cblinfun',X2_'Unit_ell2_b3_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'plus$t'(X0_'Unit_ell2_b3_ell2_cblinfun',X1_'Unit_ell2_b3_ell2_cblinfun',X2_'Unit_ell2_b3_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.88 & 75.38/10.88 ( X1_'Unit_ell2_b3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 | X2_'Unit_ell2_b3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 & X1_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 & X2_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'adj$ar' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'B3_ell2_unit_ell2_cblinfun',X0_'Unit_ell2_b3_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'adj$ar'(X0_'B3_ell2_unit_ell2_cblinfun',X0_'Unit_ell2_b3_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'B3_ell2_unit_ell2_cblinfun'=iProver_Domain_'B3_ell2_unit_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'cblinfun_compose$dv' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A1_a2_prod_unit_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_prod_unit_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'cblinfun_compose$dv'(X0_'A1_a2_prod_unit_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_prod_unit_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A1_a2_prod_unit_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_unit_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.88 & 75.38/10.88 ( X0_'A1_a2_prod_unit_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_unit_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'A1_a2_prod_unit_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_unit_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 & X0_'A1_a2_prod_unit_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_unit_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'plus$n' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun',X1_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun',X2_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'plus$n'(X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun',X1_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun',X2_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 & X1_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) 75.38/10.88 & 75.38/10.88 ( X2_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 & X1_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 & X2_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_2 ) 75.38/10.88 & 75.38/10.88 ( X1_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) 75.38/10.88 & 75.38/10.88 ( X1_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 | X2_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) 75.38/10.88 & 75.38/10.88 ( X2_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_2 & X2_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) 75.38/10.88 & 75.38/10.88 ( X1_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'swap_ell2$a' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'swap_ell2$a'(X0_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun'_2 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'adj$al' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'adj$al'(X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.88 & 75.38/10.88 ( X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'phi_n$' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'B3_ell2'] : 75.38/10.88 ( iProver_Flat_'phi_n$'(X0_'B3_ell2') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'B3_ell2'=iProver_Domain_'B3_ell2'_2 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'cblinfun_compose$m' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X1_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'A2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'cblinfun_compose$m'(X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X1_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'A2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_2 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'id_cblinfun$q' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'id_cblinfun$q'(X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'cblinfun_apply$h' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun',X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'cblinfun_apply$h'(X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun',X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'cblinfun_compose$co' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A2_ell2_a2_ell2_cblinfun',X0_'A1_a2_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_a1_a2_prod_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'cblinfun_compose$co'(X0_'A2_ell2_a2_ell2_cblinfun',X0_'A1_a2_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_a1_a2_prod_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'butterfly$al' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2',X0_'Unit_a2_unit_prod_prod_ell2'] : 75.38/10.88 ( iProver_Flat_'butterfly$al'(X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2',X0_'Unit_a2_unit_prod_prod_ell2') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'tensor_op$ak' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X1_'A1_ell2_a1_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'tensor_op$ak'(X0_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X1_'A1_ell2_a1_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'cblinfun_apply$ac' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'B1_b2_prod_b3_prod_ell2',X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'A1_a2_prod_a3_prod_ell2'] : 75.38/10.88 ( iProver_Flat_'cblinfun_apply$ac'(X0_'B1_b2_prod_b3_prod_ell2',X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'A1_a2_prod_a3_prod_ell2') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'B1_b2_prod_b3_prod_ell2'=iProver_Domain_'B1_b2_prod_b3_prod_ell2'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'adj$w' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'B1_ell2_unit_ell2_cblinfun',X0_'Unit_ell2_b1_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'adj$w'(X0_'B1_ell2_unit_ell2_cblinfun',X0_'Unit_ell2_b1_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'B1_ell2_unit_ell2_cblinfun'=iProver_Domain_'B1_ell2_unit_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'adj$bi' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A2_ell2_b1_b2_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_a2_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'adj$bi'(X0_'A2_ell2_b1_b2_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_a2_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A2_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'A2_ell2_b1_b2_prod_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'tensor_op$ar' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A1_a1_a2_prod_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'tensor_op$ar'(X0_'A1_a1_a2_prod_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A1_a1_a2_prod_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a2_prod_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun'_2 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'zero$v' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'B3_a1_prod_ell2'] : 75.38/10.88 ( iProver_Flat_'zero$v'(X0_'B3_a1_prod_ell2') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'B3_a1_prod_ell2'=iProver_Domain_'B3_a1_prod_ell2'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'cblinfun_compose$da' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'cblinfun_compose$da'(X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X1_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.88 & 75.38/10.88 ( X1_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'id_cblinfun$w' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A2_a1_prod_ell2_a2_a1_prod_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'id_cblinfun$w'(X0_'A2_a1_prod_ell2_a2_a1_prod_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A2_a1_prod_ell2_a2_a1_prod_ell2_cblinfun'=iProver_Domain_'A2_a1_prod_ell2_a2_a1_prod_ell2_cblinfun'_2 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'zero$l' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'Unit_ell2_a3_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'zero$l'(X0_'Unit_ell2_a3_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'fun_app$t' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'Unit_a2_unit_prod_prod_ell2',X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_fun',X0_'A1_a2_a3_prod_prod_ell2'] : 75.38/10.88 ( iProver_Flat_'fun_app$t'(X0_'Unit_a2_unit_prod_prod_ell2',X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_fun',X0_'A1_a2_a3_prod_prod_ell2') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'Unit_a2_unit_prod_prod_ell2'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'id_cblinfun$ad' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_cblinfun'] : 75.38/10.88 ( iProver_Flat_'id_cblinfun$ad'(X0_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'fun_app$a' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'fun_app$a'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_1 ) 75.38/10.88 & 75.38/10.88 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 | X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun'!='cblinfun_compose$' ) 75.38/10.88 & 75.38/10.88 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun'!='cblinfun_compose$' ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_1 & X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun'='cblinfun_compose$' ) 75.38/10.88 & 75.38/10.88 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.88 & 75.38/10.88 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_1 & X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun'='cblinfun_compose$' & X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_2 & X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun'='cblinfun_compose$' & X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'cblinfun_apply$ag' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'cblinfun_apply$ag'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_cblinfun'_2 & X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) 75.38/10.88 & 75.38/10.88 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_cblinfun'_2 | X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'adj$q' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'B1_ell2_a1_ell2_cblinfun',X0_'A1_ell2_b1_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'adj$q'(X0_'B1_ell2_a1_ell2_cblinfun',X0_'A1_ell2_b1_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'B1_ell2_a1_ell2_cblinfun'=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'tensor_op$e' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun',X0_'Unit_ell2_b3_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'tensor_op$e'(X0_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun',X0_'Unit_ell2_b3_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) 75.38/10.88 & 75.38/10.88 ( X0_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 | X0_'Unit_ell2_b3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun'_2 & X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 & X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'cblinfun_apply$v' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_fun',X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'cblinfun_apply$v'(X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_fun',X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'_1 ) 75.38/10.88 & 75.38/10.88 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'_2 & X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'sandwich$a' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_cblinfun',X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'sandwich$a'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_cblinfun',X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_cblinfun'_2 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'cblinfun_apply$ar' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A3_ell2',X0_'B1_ell2_a3_ell2_cblinfun',X0_'B1_ell2'] : 75.38/10.88 ( iProver_Flat_'cblinfun_apply$ar'(X0_'A3_ell2',X0_'B1_ell2_a3_ell2_cblinfun',X0_'B1_ell2') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A3_ell2'=iProver_Domain_'A3_ell2'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'cblinfun_compose$ee' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A1_ell2_b1_ell2_cblinfun',X1_'A1_ell2_b1_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'cblinfun_compose$ee'(X0_'A1_ell2_b1_ell2_cblinfun',X1_'A1_ell2_b1_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_2 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'tensor_ell2$g' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A3_a1_prod_ell2',X0_'A3_ell2',X0_'A1_ell2'] : 75.38/10.88 ( iProver_Flat_'tensor_ell2$g'(X0_'A3_a1_prod_ell2',X0_'A3_ell2',X0_'A1_ell2') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A3_a1_prod_ell2'=iProver_Domain_'A3_a1_prod_ell2'_1 ) 75.38/10.88 & 75.38/10.88 ( X0_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'A3_a1_prod_ell2'=iProver_Domain_'A3_a1_prod_ell2'_1 & X0_'A1_ell2'=iProver_Domain_'A1_ell2'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'cblinfun_compose$dc' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X1_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'cblinfun_compose$dc'(X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X1_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.88 & 75.38/10.88 ( X1_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X1_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 & X1_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) 75.38/10.88 & 75.38/10.88 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'tensor_op$m' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun',X1_'A2_ell2_a2_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'tensor_op$m'(X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun',X1_'A2_ell2_a2_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'cblinfun_apply$o' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'Unit_ell2',X0_'Unit_ell2_unit_ell2_cblinfun',X1_'Unit_ell2'] : 75.38/10.88 ( iProver_Flat_'cblinfun_apply$o'(X0_'Unit_ell2',X0_'Unit_ell2_unit_ell2_cblinfun',X1_'Unit_ell2') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'Unit_ell2'=iProver_Domain_'Unit_ell2'_2 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'plus$j' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X1_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X2_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_'plus$j'(X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X1_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X2_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_2 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_'tensor_ell2$f' 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A3_b1_prod_ell2',X0_'A3_ell2',X0_'B1_ell2'] : 75.38/10.88 ( iProver_Flat_'tensor_ell2$f'(X0_'A3_b1_prod_ell2',X0_'A3_ell2',X0_'B1_ell2') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A3_b1_prod_ell2'=iProver_Domain_'A3_b1_prod_ell2'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_sK0 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'B1_b2_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_b1_b2_prod_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_sK0(X0_'B1_b2_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_b1_b2_prod_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'B1_b2_prod_ell2_b2_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_sK1 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A2_a3_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a2_a3_prod_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_sK1(X0_'A2_a3_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a2_a3_prod_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A2_a3_prod_ell2_b2_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_sK2 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'B1_b2_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_b1_b2_prod_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_sK2(X0_'B1_b2_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_b1_b2_prod_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'B1_b2_prod_ell2_a2_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_sK3 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A2_ell2_a2_ell2_cblinfun',X1_'A2_ell2_a2_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_sK3(X0_'A2_ell2_a2_ell2_cblinfun',X1_'A2_ell2_a2_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 & X1_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_2 ) 75.38/10.88 & 75.38/10.88 ( X1_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_sK4 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A2_a3_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_a2_a3_prod_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_sK4(X0_'A2_a3_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_a2_a3_prod_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A2_a3_prod_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_sK5 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A2_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_sK5(X0_'A2_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A2_ell2_b2_ell2_cblinfun'=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_sK6 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A1_a2_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a1_a2_prod_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_sK6(X0_'A1_a2_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a1_a2_prod_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A1_a2_prod_ell2_b2_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_sK7 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'B2_ell2_b2_ell2_cblinfun',X1_'B2_ell2_b2_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_sK7(X0_'B2_ell2_b2_ell2_cblinfun',X1_'B2_ell2_b2_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 & X1_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 | 75.38/10.88 ( 75.38/10.88 ( X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_2 ) 75.38/10.88 & 75.38/10.88 ( X1_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_sK8 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'A1_a2_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_a1_a2_prod_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_sK8(X0_'A1_a2_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_a1_a2_prod_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'A1_a2_prod_ell2_a2_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 75.38/10.88 %------ Positive definition of iProver_Flat_sK9 75.38/10.88 fof(lit_def,axiom, 75.38/10.88 (! [X0_'B2_ell2_a2_ell2_cblinfun',X0_'A2_ell2_b2_ell2_cblinfun'] : 75.38/10.88 ( iProver_Flat_sK9(X0_'B2_ell2_a2_ell2_cblinfun',X0_'A2_ell2_b2_ell2_cblinfun') <=> 75.38/10.88 ( 75.38/10.88 ( 75.38/10.88 ( X0_'B2_ell2_a2_ell2_cblinfun'=iProver_Domain_'B2_ell2_a2_ell2_cblinfun'_1 ) 75.38/10.88 ) 75.38/10.88 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ) 75.38/10.88 ). 75.38/10.88 % SZS output end Model for theBenchmark.p 75.38/10.88 75.39/10.94 EOF