%------------------------------------------------------------------------------ % File : iProver-SAT---3.9.4 % Problem : ITP389_1 : TPTP v9.3.1. Released v8.0.0. % Transfm : none % Format : tptp:raw % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p SAT % Computer : n015.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Fri Sep 25 01:51:15 PM UTC 2026 % Result : CounterSatisfiable 32.20s 8.73s % Output : Model 64.05s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : ITP389_1 : TPTP v9.3.1. Released v8.0.0. % 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p SAT % 0.09/0.36 % Computer : n015.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Wed Sep 23 18:34:40 UTC 2026 % 0.09/0.36 % CPUTime : % 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p SAT % 0.09/0.38 Running model finding % 0.09/0.38 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fnt_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.09/0.39 % 0.09/0.39 % ======== iProver multi-core TPTP/SMT ========= % 0.09/0.39 % 0.09/0.39 % Detected problem language: tptp % 0.09/0.41 % Proving... % 32.20/8.73 % SZS status Started for theBenchmark.p % 32.20/8.73 % SZS status Satisfiable for theBenchmark.p % 32.20/8.73 % 32.20/8.73 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------% % 32.20/8.73 % 32.20/8.73 ------ iProver source info % 32.20/8.73 % 32.20/8.73 git: date: 2026-07-19 20:42:38 +0200 % 32.20/8.73 git: sha1: 804e7d636a263075307957e923b7a22a4035de61 % 32.20/8.73 git: non_committed_changes: false % 32.20/8.73 % 32.20/8.73 ------ Parsing... % 32.20/8.73 ------ Clausification by vclausify_rel & Parsing by iProver... % 32.20/8.73 ------ Proving... % 32.20/8.73 ------ Problem Properties % 32.20/8.73 % 32.20/8.73 % 32.20/8.73 clauses 712 % 32.20/8.73 conjectures 1 % 32.20/8.73 EPR 82 % 32.20/8.73 Horn 697 % 32.20/8.73 unary 424 % 32.20/8.73 binary 206 % 32.20/8.73 lits 1082 % 32.20/8.73 lits eq 670 % 32.20/8.73 fd_pure 0 % 32.20/8.73 fd_pseudo 0 % 32.20/8.73 fd_cond 35 % 32.20/8.73 fd_pseudo_cond 10 % 32.20/8.73 AC symbols 0 % 32.20/8.73 % 32.20/8.73 ------ Input Options Time Limit: Unbounded % 32.20/8.73 % 32.20/8.73 % 32.20/8.73 ------ Finite Models: % 32.20/8.73 % 32.20/8.73 ------ lit_activity_flag true % 32.20/8.73 % 32.20/8.73 % 32.20/8.73 ------ Trying domains of size >= : 1 % 32.20/8.73 % 32.20/8.73 ------ Trying domains of size >= : 2 % 32.20/8.73 ------ % 32.20/8.73 Current options: % 32.20/8.73 ------ % 32.20/8.73 % 32.20/8.73 ------ Input Options % 32.20/8.73 % 32.20/8.73 --out_options all % 32.20/8.73 --tptp_safe_out true % 32.20/8.73 --problem_path "" % 32.20/8.73 --include_path "" % 32.20/8.73 --clausifier res/vclausify_rel % 32.20/8.73 --clausifier_options --mode tclausify --show_fool true -t 101.66 -updr off % 32.20/8.73 --stdin false % 32.20/8.73 --proof_out true % 32.20/8.73 --proof_dot_file "" % 32.20/8.73 --proof_reduce_dot [] % 32.20/8.73 --suppress_sat_res false % 32.20/8.73 --suppress_unsat_res true % 32.20/8.73 --stats_out none % 32.20/8.73 --stats_mem false % 32.20/8.73 --theory_stats_out false % 32.20/8.73 % 32.20/8.73 ------ General Options % 32.20/8.73 % 32.20/8.73 --fof false % 32.20/8.73 --time_out_real 304.97 % 32.20/8.73 --time_out_virtual -1. % 32.20/8.73 --rnd_seed 13 % 32.20/8.73 --symbol_type_check false % 32.20/8.73 --clausify_out false % 32.20/8.73 --sig_cnt_out false % 32.20/8.73 --trig_cnt_out false % 32.20/8.73 --trig_cnt_out_tolerance 1. % 32.20/8.73 --trig_cnt_out_sk_spl false % 32.20/8.73 --abstr_cl_out false % 32.20/8.73 % 32.20/8.73 ------ Interactive Mode % 32.20/8.73 % 32.20/8.73 --interactive_mode false % 32.20/8.73 --external_ip_address "" % 32.20/8.73 --external_port 0 % 32.20/8.73 % 32.20/8.73 ------ Global Options % 32.20/8.73 % 32.20/8.73 --schedule none % 32.20/8.73 --add_important_lit false % 32.20/8.73 --prop_solver_per_cl 500 % 32.20/8.73 --subs_bck_mult 8 % 32.20/8.73 --min_unsat_core false % 32.20/8.73 --soft_assumptions false % 32.20/8.73 --soft_lemma_size 3 % 32.20/8.73 --prop_impl_unit_size 0 % 32.20/8.73 --prop_impl_unit [] % 32.20/8.73 --share_sel_clauses true % 32.20/8.73 --reset_solvers false % 32.20/8.73 --bc_imp_inh [conj_cone] % 32.20/8.73 --conj_cone_tolerance 3. % 32.20/8.73 --extra_neg_conj none % 32.20/8.73 --large_theory_mode true % 32.20/8.73 --prolific_symb_bound 200 % 32.20/8.73 --lt_threshold 2000 % 32.20/8.73 --clause_weak_htbl true % 32.20/8.73 --gc_record_bc_elim false % 32.20/8.73 % 32.20/8.73 ------ Preprocessing Options % 32.20/8.73 % 32.20/8.73 --preprocessing_flag false % 32.20/8.73 --time_out_prep_mult 0.1 % 32.20/8.73 --splitting_mode input % 32.20/8.73 --splitting_grd true % 32.20/8.73 --splitting_cvd false % 32.20/8.73 --splitting_cvd_svl false % 32.20/8.73 --splitting_nvd 32 % 32.20/8.73 --sub_typing false % 32.20/8.73 --prep_eq_flat_conj false % 32.20/8.73 --prep_ineq_split false % 32.20/8.73 --prep_eq_flat_all_gr false % 32.20/8.73 --prep_gs_sim true % 32.20/8.73 --prep_unflatten true % 32.20/8.73 --prep_res_sim true % 32.20/8.73 --prep_sup_sim_all true % 32.20/8.73 --prep_sup_sim_sup false % 32.20/8.73 --prep_upred true % 32.20/8.73 --prep_well_definedness true % 32.20/8.73 --prep_sem_filter exhaustive % 32.20/8.73 --prep_sem_filter_out false % 32.20/8.73 --pred_elim true % 32.20/8.73 --res_sim_input true % 32.20/8.73 --eq_ax_congr_red true % 32.20/8.73 --pure_diseq_elim true % 32.20/8.73 --brand_transform false % 32.20/8.73 --non_eq_to_eq false % 32.20/8.73 --prep_eq_proxy false % 32.20/8.73 --prep_def_merge true % 32.20/8.73 --prep_def_merge_prop_impl false % 32.20/8.73 --prep_def_merge_mbd true % 32.20/8.73 --prep_def_merge_tr_red false % 32.20/8.73 --prep_def_merge_tr_cl false % 32.20/8.73 --smt_preprocessing false % 32.20/8.73 --smt_ac_axioms fast % 32.20/8.73 --preprocessed_out false % 32.20/8.73 --preprocessed_stats false % 32.20/8.73 % 32.20/8.73 ------ Abstraction refinement Options % 32.20/8.73 % 32.20/8.73 --abstr_ref [] % 32.20/8.73 --abstr_ref_prep false % 32.20/8.73 --abstr_ref_until_sat false % 32.20/8.73 --abstr_ref_sig_restrict funpre % 32.20/8.73 --abstr_ref_af_restrict_to_split_sk false % 32.20/8.73 --abstr_ref_under [] % 32.20/8.73 % 32.20/8.73 ------ SAT Options % 32.20/8.73 % 32.20/8.73 --sat_mode true % 32.20/8.73 --sat_fm_restart_options "" % 32.20/8.73 --sat_gr_def true % 32.20/8.73 --sat_epr_types true % 32.20/8.73 --sat_non_cyclic_types false % 32.20/8.73 --sat_finite_models true % 32.20/8.73 --sat_fm_lemmas false % 32.20/8.73 --sat_fm_prep false % 32.20/8.73 --sat_fm_uc_incr false % 32.20/8.73 --sat_out_model pos % 32.20/8.73 --sat_out_clauses false % 32.20/8.73 % 32.20/8.73 ------ QBF Options % 32.20/8.73 % 32.20/8.73 --qbf_mode false % 32.20/8.73 --qbf_elim_univ false % 32.20/8.73 --qbf_dom_inst none % 32.20/8.73 --qbf_dom_pre_inst false % 32.20/8.73 --qbf_sk_in false % 32.20/8.73 --qbf_pred_elim true % 32.20/8.73 --qbf_split 512 % 32.20/8.73 % 32.20/8.73 ------ BMC1 Options % 32.20/8.73 % 32.20/8.73 --bmc1_incremental false % 32.20/8.73 --bmc1_axioms reachable_all % 32.20/8.73 --bmc1_min_bound 0 % 32.20/8.73 --bmc1_max_bound -1 % 32.20/8.73 --bmc1_max_bound_default -1 % 32.20/8.73 --bmc1_symbol_reachability true % 32.20/8.73 --bmc1_property_lemmas false % 32.20/8.73 --bmc1_k_induction false % 32.20/8.73 --bmc1_non_equiv_states false % 32.20/8.73 --bmc1_deadlock false % 32.20/8.73 --bmc1_ucm false % 32.20/8.73 --bmc1_add_unsat_core none % 32.20/8.73 --bmc1_unsat_core_children false % 32.20/8.73 --bmc1_unsat_core_extrapolate_axioms false % 32.20/8.73 --bmc1_out_stat full % 32.20/8.73 --bmc1_ground_init false % 32.20/8.73 --bmc1_pre_inst_next_state false % 32.20/8.73 --bmc1_pre_inst_state false % 32.20/8.73 --bmc1_pre_inst_reach_state false % 32.20/8.73 --bmc1_out_unsat_core false % 32.20/8.73 --bmc1_aig_witness_out false % 32.20/8.73 --bmc1_verbose false % 32.20/8.73 --bmc1_dump_clauses_tptp false % 32.20/8.73 --bmc1_dump_unsat_core_tptp false % 32.20/8.73 --bmc1_dump_file - % 32.20/8.73 --bmc1_ucm_expand_uc_limit 128 % 32.20/8.73 --bmc1_ucm_n_expand_iterations 6 % 32.20/8.73 --bmc1_ucm_extend_mode 1 % 32.20/8.73 --bmc1_ucm_init_mode 2 % 32.20/8.73 --bmc1_ucm_cone_mode none % 32.20/8.73 --bmc1_ucm_reduced_relation_type 0 % 32.20/8.73 --bmc1_ucm_relax_model 4 % 32.20/8.73 --bmc1_ucm_full_tr_after_sat true % 32.20/8.73 --bmc1_ucm_expand_neg_assumptions false % 32.20/8.73 --bmc1_ucm_layered_model none % 32.20/8.73 --bmc1_ucm_max_lemma_size 10 % 32.20/8.73 % 32.20/8.73 ------ AIG Options % 32.20/8.73 % 32.20/8.73 --aig_mode false % 32.20/8.73 % 32.20/8.73 ------ Instantiation Options % 32.20/8.73 % 32.20/8.73 --instantiation_flag true % 32.20/8.73 --inst_sos_flag false % 32.20/8.73 --inst_sos_phase true % 32.20/8.73 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb] % 32.20/8.73 --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb] % 32.20/8.73 --inst_lit_sel_side num_symb % 32.20/8.73 --inst_solver_per_active 1400 % 32.20/8.73 --inst_solver_calls_frac 1. % 32.20/8.73 --inst_to_smt_solver true % 32.20/8.73 --inst_passive_queue_type priority_queues % 32.20/8.73 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]] % 32.20/8.73 --inst_passive_queues_freq [25;2] % 32.20/8.73 --inst_dismatching true % 32.20/8.73 --inst_eager_unprocessed_to_passive true % 32.20/8.73 --inst_unprocessed_bound 1000 % 32.20/8.73 --inst_prop_sim_given true % 32.20/8.73 --inst_prop_sim_new false % 32.20/8.73 --inst_subs_new false % 32.20/8.73 --inst_eq_res_simp false % 32.20/8.73 --inst_subs_given false % 32.20/8.73 --inst_orphan_elimination true % 32.20/8.73 --inst_learning_loop_flag true % 32.20/8.73 --inst_learning_start 3000 % 32.20/8.73 --inst_learning_factor 2 % 32.20/8.73 --inst_start_prop_sim_after_learn 3 % 32.20/8.73 --inst_sel_renew solver % 32.20/8.73 --inst_lit_activity_flag true % 32.20/8.73 --inst_restr_to_given false % 32.20/8.73 --inst_activity_threshold 500 % 32.20/8.73 % 32.20/8.73 ------ Resolution Options % 32.20/8.73 % 32.20/8.73 --resolution_flag false % 32.20/8.73 --res_lit_sel adaptive % 32.20/8.73 --res_lit_sel_side none % 32.20/8.73 --res_ordering kbo % 32.20/8.73 --res_to_prop_solver active % 32.20/8.73 --res_prop_simpl_new false % 32.20/8.73 --res_prop_simpl_given true % 32.20/8.73 --res_to_smt_solver true % 32.20/8.73 --res_passive_queue_type priority_queues % 32.20/8.73 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]] % 32.20/8.73 --res_passive_queues_freq [15;5] % 32.20/8.73 --res_forward_subs full % 32.20/8.73 --res_backward_subs full % 32.20/8.73 --res_forward_subs_resolution true % 32.20/8.73 --res_backward_subs_resolution true % 32.20/8.73 --res_orphan_elimination true % 32.20/8.73 --res_time_limit 300. % 32.20/8.73 % 32.20/8.73 ------ Superposition Options % 32.20/8.73 % 32.20/8.73 --superposition_flag false % 32.20/8.73 --sup_passive_queue_type priority_queues % 32.20/8.73 --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]] % 32.20/8.73 --sup_passive_queues_freq [8;1;4;4] % 32.20/8.73 --twee_lhs_weight 4 % 32.20/8.73 --sup_set_join false % 32.20/8.73 --sup_set_join_goals true % 32.20/8.73 --sup_set_join_limit 1000 % 32.20/8.73 --demod_completeness_check fast % 32.20/8.73 --demod_use_ground true % 32.20/8.73 --sup_unprocessed_bound 0 % 32.20/8.73 --sup_to_prop_solver passive % 32.20/8.73 --sup_prop_simpl_new true % 32.20/8.73 --sup_prop_simpl_given true % 32.20/8.73 --sup_fun_splitting false % 32.20/8.73 --sup_iter_deepening 2 % 32.20/8.73 --sup_restarts_mult 12 % 32.20/8.73 --sup_score sim_d_gen % 32.20/8.73 --sup_share_score_frac 0.2 % 32.20/8.73 --sup_share_max_num_cl 500 % 32.20/8.73 --sup_ordering kbo % 32.20/8.73 --sup_symb_ordering invfreq % 32.20/8.73 --sup_term_weight default % 32.20/8.73 % 32.20/8.73 ------ Superposition Simplification Setup % 32.20/8.73 % 32.20/8.73 --sup_indices_passive [LightNormIndex;FwDemodIndex] % 32.20/8.73 --sup_full_triv [SMTSimplify;PropSubs] % 32.20/8.73 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] % 32.20/8.73 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] % 32.20/8.73 --sup_immed_triv [] % 32.20/8.73 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes] % 32.20/8.73 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes] % 32.20/8.73 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod] % 32.20/8.73 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] % 32.20/8.73 --sup_input_triv [Unflattening;SMTSimplify] % 32.20/8.73 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] % 32.20/8.73 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] % 32.20/8.73 --sup_full_fixpoint true % 32.20/8.73 --sup_main_fixpoint true % 32.20/8.73 --sup_immed_fixpoint false % 32.20/8.73 --sup_input_fixpoint true % 32.20/8.73 --sup_cache_sim none % 32.20/8.73 --sup_smt_interval 500 % 32.20/8.73 --sup_bw_gjoin_interval 0 % 32.20/8.73 % 32.20/8.73 ------ Combination Options % 32.20/8.73 % 32.20/8.73 --comb_mode clause_based % 32.20/8.73 --comb_inst_mult 5 % 32.20/8.73 --comb_res_mult 1 % 32.20/8.73 --comb_sup_mult 8 % 32.20/8.73 --comb_sup_deep_mult 2 % 32.20/8.73 % 32.20/8.73 ------ Debug Options % 32.20/8.73 % 32.20/8.73 --dbg_backtrace false % 32.20/8.73 --dbg_dump_prop_clauses false % 32.20/8.73 --dbg_dump_prop_clauses_file - % 32.20/8.73 --dbg_out_stat false % 32.20/8.73 --dbg_just_parse false % 32.20/8.73 % 32.20/8.73 % 32.20/8.73 % 32.20/8.73 % 32.20/8.73 ------ Proving... % 32.20/8.73 % 32.20/8.73 % 32.20/8.73 % SZS status Satisfiable for theBenchmark.p % 32.20/8.73 % 32.20/8.73 ------ Building Model...Done % 32.20/8.73 % 32.20/8.73 %------ The model is defined over ground terms (initial term algebra). % 32.20/8.73 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) % 32.20/8.73 %------ where \phi is a formula over the term algebra. % 32.20/8.73 %------ If we have equality in the problem then it is also defined as a predicate above, % 32.20/8.73 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type % 32.20/8.73 %------ See help for --sat_out_model for different model outputs. % 32.20/8.73 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "=" % 32.20/8.73 %------ where the first argument stands for the sort ($i in the unsorted case) % 32.20/8.73 % SZS output start Model for theBenchmark.p % 32.20/8.73 % 32.20/8.73 %------ Positive definition of equality_sorted % 32.20/8.73 fof(lit_def,axiom, % 32.20/8.73 (! [X0_tType,X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun',X1_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun'] : % 32.20/8.73 ( equality_sorted(X0_tType,X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun',X1_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun') <=> % 32.20/8.73 ( % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='B3_ell2$' ) % 32.20/8.73 & % 32.20/8.73 ( X0_'B3_ell2'!=iProver_Domain_'B3_ell2'_1 | X1_'B3_ell2'!=iProver_Domain_'B3_ell2'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'B3_ell2'!=iProver_Domain_'B3_ell2'_2 | X1_'B3_ell2'!=iProver_Domain_'B3_ell2'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='B3_ell2$' & X0_'B3_ell2'=iProver_Domain_'B3_ell2'_1 & X1_'B3_ell2'=iProver_Domain_'B3_ell2'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='B1_ell2_complex_cblinfun$' ) % 32.20/8.73 & % 32.20/8.73 ( X0_'B1_ell2_complex_cblinfun'!=iProver_Domain_'B1_ell2_complex_cblinfun'_1 | X1_'B1_ell2_complex_cblinfun'!=iProver_Domain_'B1_ell2_complex_cblinfun'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'B1_ell2_complex_cblinfun'!=iProver_Domain_'B1_ell2_complex_cblinfun'_2 | X1_'B1_ell2_complex_cblinfun'!=iProver_Domain_'B1_ell2_complex_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='Complex_b1_ell2_cblinfun$' ) % 32.20/8.73 & % 32.20/8.73 ( X0_'Complex_b1_ell2_cblinfun'!=iProver_Domain_'Complex_b1_ell2_cblinfun'_1 | X1_'Complex_b1_ell2_cblinfun'!=iProver_Domain_'Complex_b1_ell2_cblinfun'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'Complex_b1_ell2_cblinfun'!=iProver_Domain_'Complex_b1_ell2_cblinfun'_2 | X1_'Complex_b1_ell2_cblinfun'!=iProver_Domain_'Complex_b1_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A2_ell2_b2_ell2_cblinfun$' ) % 32.20/8.73 & % 32.20/8.73 ( 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 ) % 32.20/8.73 & % 32.20/8.73 ( 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 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A2_ell2_a2_ell2_cblinfun$' ) % 32.20/8.73 & % 32.20/8.73 ( X0_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 | X1_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_2 | X1_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A2_ell2_a2_ell2_cblinfun$' & 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 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='B2_ell2_b2_ell2_cblinfun$' & X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 & X1_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A2_ell2$' ) % 32.20/8.73 & % 32.20/8.73 ( X0_'A2_ell2'!=iProver_Domain_'A2_ell2'_1 | X1_'A2_ell2'!=iProver_Domain_'A2_ell2'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'A2_ell2'!=iProver_Domain_'A2_ell2'_2 | X1_'A2_ell2'!=iProver_Domain_'A2_ell2'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A3_ell2_a3_ell2_cblinfun$' ) % 32.20/8.73 & % 32.20/8.73 ( X0_'A3_ell2_a3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 | X1_'A3_ell2_a3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'A3_ell2_a3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_2 | X1_'A3_ell2_a3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A3_ell2_a3_ell2_cblinfun$' & 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 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A3_ell2_a3_ell2_cblinfun$' & X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X1_'A3_ell2_a3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A3_ell2_a3_ell2_cblinfun$' & X1_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'A3_ell2_a3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='Unit_ell2_a3_ell2_cblinfun$' ) % 32.20/8.73 & % 32.20/8.73 ( X0_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 | X1_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_2 | X1_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='Unit_ell2_a3_ell2_cblinfun$' & 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 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='Unit_ell2_a3_ell2_cblinfun$' & X1_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun$' & 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'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun$' ) % 32.20/8.73 & % 32.20/8.73 ( X0_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun'!=iProver_Domain_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun'_1 | X1_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun'!=iProver_Domain_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun'!=iProver_Domain_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun'_2 | X1_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun'!=iProver_Domain_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='B2_b1_prod_ell2_b2_b1_prod_ell2_cblinfun$' & 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 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun$' ) % 32.20/8.73 & % 32.20/8.73 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 | X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 | X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun$' & 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 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun$' & X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun$' ) % 32.20/8.73 & % 32.20/8.73 ( 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 ) % 32.20/8.73 & % 32.20/8.73 ( 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 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun$' ) % 32.20/8.73 & % 32.20/8.73 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 | X1_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 | X1_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun$' ) % 32.20/8.73 & % 32.20/8.73 ( 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 ) % 32.20/8.73 & % 32.20/8.73 ( 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 ) % 32.20/8.73 & % 32.20/8.73 ( 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 ) % 32.20/8.73 & % 32.20/8.73 ( 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 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun$' & X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X1_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun$' & 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 ) % 32.20/8.73 & % 32.20/8.73 ( 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 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun$' ) % 32.20/8.73 & % 32.20/8.73 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 | X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 | X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun$' & 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 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A1_a2_a3_prod_prod_ell2$' ) % 32.20/8.73 & % 32.20/8.73 ( X0_'A1_a2_a3_prod_prod_ell2'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 | X1_'A1_a2_a3_prod_prod_ell2'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'A1_a2_a3_prod_prod_ell2'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_2 | X1_'A1_a2_a3_prod_prod_ell2'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) % 32.20/8.73 & % 32.20/8.73 ( X1_'A1_a2_a3_prod_prod_ell2'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_2 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A1_a2_a3_prod_prod_ell2$' & 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 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A1_a2_a3_prod_prod_ell2$' & X1_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'A1_a2_a3_prod_prod_ell2'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A1_ell2$' ) % 32.20/8.73 & % 32.20/8.73 ( X0_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 | X1_'A1_ell2'!=iProver_Domain_'A1_ell2'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'A1_ell2'!=iProver_Domain_'A1_ell2'_2 | X1_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A1_ell2$' & X0_'A1_ell2'=iProver_Domain_'A1_ell2'_1 & X1_'A1_ell2'=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='Unit_ell2_a1_ell2_cblinfun$' ) % 32.20/8.73 & % 32.20/8.73 ( 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 ) % 32.20/8.73 & % 32.20/8.73 ( 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 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='Unit_ell2_a1_ell2_cblinfun$' & X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 & X1_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='Unit_ell2_a1_ell2_cblinfun$' & X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X1_'Unit_ell2_a1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='Unit_ell2_a1_ell2_cblinfun$' & X1_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'Unit_ell2_a1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='B1_b2_prod_ell2_b1_b2_prod_ell2_fun$' ) % 32.20/8.73 & % 32.20/8.73 ( 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'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun'!=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun'_2 | X1_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun'!=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='Unit_ell2_unit_ell2_cblinfun$' & X0_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 & X1_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun$' ) % 32.20/8.73 & % 32.20/8.73 ( 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 ) % 32.20/8.73 & % 32.20/8.73 ( 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 ) % 32.20/8.73 & % 32.20/8.73 ( 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 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun$' & X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 & X1_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun$' & 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'_2 ) % 32.20/8.73 & % 32.20/8.73 ( 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 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun$' & X1_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='Unit_b2_unit_prod_prod_ell2$' ) % 32.20/8.73 & % 32.20/8.73 ( X0_'Unit_b2_unit_prod_prod_ell2'!=iProver_Domain_'Unit_b2_unit_prod_prod_ell2'_1 ) % 32.20/8.73 & % 32.20/8.73 ( 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'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'Unit_b2_unit_prod_prod_ell2'!=iProver_Domain_'Unit_b2_unit_prod_prod_ell2'_2 | X1_'Unit_b2_unit_prod_prod_ell2'!=iProver_Domain_'Unit_b2_unit_prod_prod_ell2'_1 ) % 32.20/8.73 & % 32.20/8.73 ( X1_'Unit_b2_unit_prod_prod_ell2'!=iProver_Domain_'Unit_b2_unit_prod_prod_ell2'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='Unit_b2_unit_prod_prod_ell2$' & X0_'Unit_b2_unit_prod_prod_ell2'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2'_1 & X1_'Unit_b2_unit_prod_prod_ell2'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='B1_ell2$' ) % 32.20/8.73 & % 32.20/8.73 ( X0_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 | X1_'B1_ell2'!=iProver_Domain_'B1_ell2'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'B1_ell2'!=iProver_Domain_'B1_ell2'_2 | X1_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.73 & % 32.20/8.73 ( X1_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='B1_ell2$' & X0_'B1_ell2'=iProver_Domain_'B1_ell2'_1 & X1_'B1_ell2'=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='B1_ell2$' & X1_'B1_ell2'=iProver_Domain_'B1_ell2'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='B2_ell2$' ) % 32.20/8.73 & % 32.20/8.73 ( X0_'B2_ell2'!=iProver_Domain_'B2_ell2'_1 | X1_'B2_ell2'!=iProver_Domain_'B2_ell2'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'B2_ell2'!=iProver_Domain_'B2_ell2'_2 | X1_'B2_ell2'!=iProver_Domain_'B2_ell2'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='B2_unit_prod_ell2$' & X0_'B2_unit_prod_ell2'=iProver_Domain_'B2_unit_prod_ell2'_1 & X1_'B2_unit_prod_ell2'=iProver_Domain_'B2_unit_prod_ell2'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun$' ) % 32.20/8.73 & % 32.20/8.73 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 | X1_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 | X1_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun$' ) % 32.20/8.73 & % 32.20/8.73 ( 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 ) % 32.20/8.73 & % 32.20/8.73 ( 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 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun$' & X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 & X1_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun$' & X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X1_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun$' & X1_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A3_ell2_b3_ell2_cblinfun$' ) % 32.20/8.73 & % 32.20/8.73 ( 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 ) % 32.20/8.73 & % 32.20/8.73 ( 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 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A3_ell2_b3_ell2_cblinfun$' & X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 & X1_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A3_ell2_b3_ell2_cblinfun$' & X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X1_'A3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A3_ell2_b3_ell2_cblinfun$' & X1_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'A3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A1_ell2_a1_ell2_cblinfun$' ) % 32.20/8.73 & % 32.20/8.73 ( 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 ) % 32.20/8.73 & % 32.20/8.73 ( 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 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A1_ell2_a1_ell2_cblinfun$' & X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 & X1_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A1_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun$' & 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 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A1_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun$' & X0_'A1_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X1_'A1_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun$' & 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'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='Unit_ell2_b1_ell2_cblinfun$' ) % 32.20/8.73 & % 32.20/8.73 ( X0_'Unit_ell2_b1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'Unit_ell2_b1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 | X1_'Unit_ell2_b1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'Unit_ell2_b1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_2 | X1_'Unit_ell2_b1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.73 & % 32.20/8.73 ( X1_'Unit_ell2_b1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.73 & % 32.20/8.73 ( X1_'Unit_ell2_b1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_2 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='Unit_ell2_b1_ell2_cblinfun$' & 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 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='Unit_ell2_b1_ell2_cblinfun$' & X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X1_'Unit_ell2_b1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='Unit_ell2_b1_ell2_cblinfun$' & X1_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'Unit_ell2_b1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A3_ell2$' ) % 32.20/8.73 & % 32.20/8.73 ( X0_'A3_ell2'!=iProver_Domain_'A3_ell2'_1 | X1_'A3_ell2'!=iProver_Domain_'A3_ell2'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'A3_ell2'!=iProver_Domain_'A3_ell2'_2 | X1_'A3_ell2'!=iProver_Domain_'A3_ell2'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A3_ell2$' & X0_'A3_ell2'=iProver_Domain_'A3_ell2'_1 & X1_'A3_ell2'=iProver_Domain_'A3_ell2'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A1_a1_a3_prod_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun$' & X1_'A1_a1_a3_prod_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a3_prod_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'A1_a1_a3_prod_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a1_a3_prod_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='B1_b2_prod_a2_prod_ell2_b1_b2_prod_a2_prod_ell2_cblinfun$' & 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 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A1_ell2_b1_ell2_cblinfun$' ) % 32.20/8.73 & % 32.20/8.73 ( X0_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 | X1_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_2 | X1_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A1_ell2_b1_ell2_cblinfun$' & 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 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A1_ell2_b1_ell2_cblinfun$' & X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X1_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='A1_ell2_b1_ell2_cblinfun$' & X1_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='B1_ell2_b1_ell2_cblinfun$' ) % 32.20/8.73 & % 32.20/8.73 ( X0_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 | X1_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 | X1_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.73 & % 32.20/8.73 ( X1_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='B1_ell2_b1_ell2_cblinfun$' & 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 ) % 32.20/8.73 ) % 32.20/8.73 % 32.20/8.73 | % 32.20/8.73 ( % 32.20/8.73 ( X0_tType='B1_ell2_b1_ell2_cblinfun$' & X1_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 ) % 32.20/8.73 & % 32.20/8.73 ( X0_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.73 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun$' ) % 32.20/8.74 & % 32.20/8.74 ( 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 ) % 32.20/8.74 & % 32.20/8.74 ( 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun$' & X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X1_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun$' & 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 ) % 32.20/8.74 & % 32.20/8.74 ( 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun$' & X1_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.74 & % 32.20/8.74 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun$' & 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A2_ell2_a2_ell2_fun$' ) % 32.20/8.74 & % 32.20/8.74 ( X0_'A2_ell2_a2_ell2_fun'!=iProver_Domain_'A2_ell2_a2_ell2_fun'_1 | X1_'A2_ell2_a2_ell2_fun'!=iProver_Domain_'A2_ell2_a2_ell2_fun'_2 ) % 32.20/8.74 & % 32.20/8.74 ( X0_'A2_ell2_a2_ell2_fun'!=iProver_Domain_'A2_ell2_a2_ell2_fun'_2 | X1_'A2_ell2_a2_ell2_fun'!=iProver_Domain_'A2_ell2_a2_ell2_fun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun$' & 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun$' & X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 & X1_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun$' & 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B2_ell2_b2_ell2_fun$' & X0_'B2_ell2_b2_ell2_fun'=iProver_Domain_'B2_ell2_b2_ell2_fun'_1 & X1_'B2_ell2_b2_ell2_fun'=iProver_Domain_'B2_ell2_b2_ell2_fun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun$' & 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B2_b2_prod_ell2_b2_b2_prod_ell2_cblinfun$' & X0_'B2_b2_prod_ell2_b2_b2_prod_ell2_cblinfun'=iProver_Domain_'B2_b2_prod_ell2_b2_b2_prod_ell2_cblinfun'_1 & X1_'B2_b2_prod_ell2_b2_b2_prod_ell2_cblinfun'=iProver_Domain_'B2_b2_prod_ell2_b2_b2_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun$' ) % 32.20/8.74 & % 32.20/8.74 ( 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 ) % 32.20/8.74 & % 32.20/8.74 ( 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 ) % 32.20/8.74 & % 32.20/8.74 ( 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 ) % 32.20/8.74 & % 32.20/8.74 ( 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 ) % 32.20/8.74 & % 32.20/8.74 ( 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun$' & X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 & X1_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun$' & 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'_2 ) % 32.20/8.74 & % 32.20/8.74 ( 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun$' & X1_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.74 & % 32.20/8.74 ( X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A2_b2_prod_ell2_a2_b2_prod_ell2_cblinfun$' & 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun$' ) % 32.20/8.74 & % 32.20/8.74 ( X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 | X1_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.74 & % 32.20/8.74 ( X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 | X1_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun$' & 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun$' & X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.74 & % 32.20/8.74 ( X1_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A3_a2_prod_ell2_a3_a2_prod_ell2_cblinfun$' & 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun$' & X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 & X1_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B1_ell2_a1_ell2_cblinfun$' ) % 32.20/8.74 & % 32.20/8.74 ( 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'_2 ) % 32.20/8.74 & % 32.20/8.74 ( X0_'B1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_2 | X1_'B1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B1_ell2_a1_ell2_cblinfun$' & X0_'B1_ell2_a1_ell2_cblinfun'=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_1 & X1_'B1_ell2_a1_ell2_cblinfun'=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B1_ell2_a1_ell2_cblinfun$' & X0_'B1_ell2_a1_ell2_cblinfun'=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_2 ) % 32.20/8.74 & % 32.20/8.74 ( X1_'B1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun$' ) % 32.20/8.74 & % 32.20/8.74 ( X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 | X1_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.74 & % 32.20/8.74 ( X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 | X1_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun$' & X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=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'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun$' & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'_1 & X1_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A1_a2_prod_a3_prod_ell2$' & 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A1_a2_prod_ell2_b2_ell2_cblinfun$' & X0_'A1_a2_prod_ell2_b2_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_b2_ell2_cblinfun'_1 & X1_'A1_a2_prod_ell2_b2_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_cblinfun$' & 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='Complex_a1_ell2_cblinfun$' ) % 32.20/8.74 & % 32.20/8.74 ( X0_'Complex_a1_ell2_cblinfun'!=iProver_Domain_'Complex_a1_ell2_cblinfun'_1 | X1_'Complex_a1_ell2_cblinfun'!=iProver_Domain_'Complex_a1_ell2_cblinfun'_2 ) % 32.20/8.74 & % 32.20/8.74 ( X0_'Complex_a1_ell2_cblinfun'!=iProver_Domain_'Complex_a1_ell2_cblinfun'_2 | X1_'Complex_a1_ell2_cblinfun'!=iProver_Domain_'Complex_a1_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='Complex_a1_ell2_cblinfun$' & X0_'Complex_a1_ell2_cblinfun'=iProver_Domain_'Complex_a1_ell2_cblinfun'_1 & X1_'Complex_a1_ell2_cblinfun'=iProver_Domain_'Complex_a1_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B1_b2_b3_prod_prod_ell2$' & X0_'B1_b2_b3_prod_prod_ell2'=iProver_Domain_'B1_b2_b3_prod_prod_ell2'_1 & X1_'B1_b2_b3_prod_prod_ell2'=iProver_Domain_'B1_b2_b3_prod_prod_ell2'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun$' ) % 32.20/8.74 & % 32.20/8.74 ( 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 ) % 32.20/8.74 & % 32.20/8.74 ( 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_cblinfun$' & X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_cblinfun'_1 & X1_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun$' & 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun$' ) % 32.20/8.74 & % 32.20/8.74 ( X0_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun'_1 | X1_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun'_2 ) % 32.20/8.74 & % 32.20/8.74 ( X0_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun'_2 | X1_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun$' & 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A1_a2_prod_ell2_a1_a2_prod_ell2_fun$' & X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun'_1 & X1_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A3_ell2_complex_cblinfun$' ) % 32.20/8.74 & % 32.20/8.74 ( X0_'A3_ell2_complex_cblinfun'!=iProver_Domain_'A3_ell2_complex_cblinfun'_1 | X1_'A3_ell2_complex_cblinfun'!=iProver_Domain_'A3_ell2_complex_cblinfun'_2 ) % 32.20/8.74 & % 32.20/8.74 ( X0_'A3_ell2_complex_cblinfun'!=iProver_Domain_'A3_ell2_complex_cblinfun'_2 | X1_'A3_ell2_complex_cblinfun'!=iProver_Domain_'A3_ell2_complex_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_fun$' & X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_fun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_fun'_1 & X1_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_fun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_fun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun$' ) % 32.20/8.74 & % 32.20/8.74 ( 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 ) % 32.20/8.74 & % 32.20/8.74 ( 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 ) % 32.20/8.74 & % 32.20/8.74 ( 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 ) % 32.20/8.74 & % 32.20/8.74 ( 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun$' & X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 & X1_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun$' & 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'_2 ) % 32.20/8.74 & % 32.20/8.74 ( 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun$' & X1_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.74 & % 32.20/8.74 ( X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='Unit_b2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun$' & 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun$' ) % 32.20/8.74 & % 32.20/8.74 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 | X1_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 ) % 32.20/8.74 & % 32.20/8.74 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 | X1_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun$' & 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun$' & X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 ) % 32.20/8.74 & % 32.20/8.74 ( X1_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun$' & 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 ) % 32.20/8.74 & % 32.20/8.74 ( 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='Complex_a3_ell2_cblinfun$' ) % 32.20/8.74 & % 32.20/8.74 ( X0_'Complex_a3_ell2_cblinfun'!=iProver_Domain_'Complex_a3_ell2_cblinfun'_1 | X1_'Complex_a3_ell2_cblinfun'!=iProver_Domain_'Complex_a3_ell2_cblinfun'_2 ) % 32.20/8.74 & % 32.20/8.74 ( X0_'Complex_a3_ell2_cblinfun'!=iProver_Domain_'Complex_a3_ell2_cblinfun'_2 | X1_'Complex_a3_ell2_cblinfun'!=iProver_Domain_'Complex_a3_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A1_ell2_complex_cblinfun$' & X0_'A1_ell2_complex_cblinfun'=iProver_Domain_'A1_ell2_complex_cblinfun'_1 & X1_'A1_ell2_complex_cblinfun'=iProver_Domain_'A1_ell2_complex_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A1_ell2_complex_cblinfun$' & X0_'A1_ell2_complex_cblinfun'=iProver_Domain_'A1_ell2_complex_cblinfun'_2 ) % 32.20/8.74 & % 32.20/8.74 ( X1_'A1_ell2_complex_cblinfun'!=iProver_Domain_'A1_ell2_complex_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun$' ) % 32.20/8.74 & % 32.20/8.74 ( 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'_2 ) % 32.20/8.74 & % 32.20/8.74 ( X0_'A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun'!=iProver_Domain_'A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun'_2 | X1_'A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun'!=iProver_Domain_'A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A3_a3_prod_ell2_b3_b3_prod_ell2_cblinfun$' & X0_'A3_a3_prod_ell2_b3_b3_prod_ell2_cblinfun'=iProver_Domain_'A3_a3_prod_ell2_b3_b3_prod_ell2_cblinfun'_1 & X1_'A3_a3_prod_ell2_b3_b3_prod_ell2_cblinfun'=iProver_Domain_'A3_a3_prod_ell2_b3_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_fun$' & 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun$' & X0_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun'_1 & X1_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun$' ) % 32.20/8.74 & % 32.20/8.74 ( 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'_2 ) % 32.20/8.74 & % 32.20/8.74 ( 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 | 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun$' & X0_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 & X1_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='Unit_ell2_b3_ell2_cblinfun$' & 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A2_a3_prod_ell2_a2_a3_prod_ell2_fun$' & X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_fun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_fun'_1 & X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_fun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_fun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A2_a3_prod_ell2$' ) % 32.20/8.74 & % 32.20/8.74 ( X0_'A2_a3_prod_ell2'!=iProver_Domain_'A2_a3_prod_ell2'_1 | X1_'A2_a3_prod_ell2'!=iProver_Domain_'A2_a3_prod_ell2'_2 ) % 32.20/8.74 & % 32.20/8.74 ( X0_'A2_a3_prod_ell2'!=iProver_Domain_'A2_a3_prod_ell2'_2 | X1_'A2_a3_prod_ell2'!=iProver_Domain_'A2_a3_prod_ell2'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A2_a3_prod_ell2$' & X0_'A2_a3_prod_ell2'=iProver_Domain_'A2_a3_prod_ell2'_1 & X1_'A2_a3_prod_ell2'=iProver_Domain_'A2_a3_prod_ell2'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_fun$' & X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_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'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B1_b2_prod_b3_prod_ell2$' & X0_'B1_b2_prod_b3_prod_ell2'=iProver_Domain_'B1_b2_prod_b3_prod_ell2'_1 & X1_'B1_b2_prod_b3_prod_ell2'=iProver_Domain_'B1_b2_prod_b3_prod_ell2'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_fun$' & 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun$' ) % 32.20/8.74 & % 32.20/8.74 ( X0_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'!=iProver_Domain_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'_1 | X1_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'!=iProver_Domain_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'_2 ) % 32.20/8.74 & % 32.20/8.74 ( X0_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'!=iProver_Domain_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'_2 | X1_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'!=iProver_Domain_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun$' & 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun$' & X0_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'_2 ) % 32.20/8.74 & % 32.20/8.74 ( X1_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'!=iProver_Domain_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun$' & X0_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'_2 & X1_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'_2 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun$' & X1_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'_2 ) % 32.20/8.74 & % 32.20/8.74 ( X0_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'!=iProver_Domain_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun$' ) % 32.20/8.74 & % 32.20/8.74 ( 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 ) % 32.20/8.74 & % 32.20/8.74 ( 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_fun$' & X0_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_fun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_fun'_1 & X1_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_fun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_fun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A1_a1_a2_prod_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun$' & 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'_1 & 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B1_b2_prod_b2_prod_ell2_b1_b2_prod_b2_prod_ell2_cblinfun$' & X0_'B1_b2_prod_b2_prod_ell2_b1_b2_prod_b2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b2_prod_ell2_b1_b2_prod_b2_prod_ell2_cblinfun'_1 & X1_'B1_b2_prod_b2_prod_ell2_b1_b2_prod_b2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b2_prod_ell2_b1_b2_prod_b2_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun$' & X0_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun'=iProver_Domain_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun'_2 ) % 32.20/8.74 & % 32.20/8.74 ( X1_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun'!=iProver_Domain_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun$' & X1_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun'=iProver_Domain_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun'_2 ) % 32.20/8.74 & % 32.20/8.74 ( X0_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun'!=iProver_Domain_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun$' ) % 32.20/8.74 & % 32.20/8.74 ( 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'_2 ) % 32.20/8.74 & % 32.20/8.74 ( X0_'B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun'!=iProver_Domain_'B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun'_2 | X1_'B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun'!=iProver_Domain_'B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun$' & X0_'B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun'=iProver_Domain_'B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun'_2 ) % 32.20/8.74 & % 32.20/8.74 ( X1_'B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun'!=iProver_Domain_'B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A3_b1_prod_ell2_b3_b1_prod_ell2_cblinfun$' & 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A3_a1_prod_ell2_b3_a1_prod_ell2_cblinfun$' & X0_'A3_a1_prod_ell2_b3_a1_prod_ell2_cblinfun'=iProver_Domain_'A3_a1_prod_ell2_b3_a1_prod_ell2_cblinfun'_1 & X1_'A3_a1_prod_ell2_b3_a1_prod_ell2_cblinfun'=iProver_Domain_'A3_a1_prod_ell2_b3_a1_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B1_b2_prod_ell2$' ) % 32.20/8.74 & % 32.20/8.74 ( X0_'B1_b2_prod_ell2'!=iProver_Domain_'B1_b2_prod_ell2'_1 | X1_'B1_b2_prod_ell2'!=iProver_Domain_'B1_b2_prod_ell2'_2 ) % 32.20/8.74 & % 32.20/8.74 ( X0_'B1_b2_prod_ell2'!=iProver_Domain_'B1_b2_prod_ell2'_2 | X1_'B1_b2_prod_ell2'!=iProver_Domain_'B1_b2_prod_ell2'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun$' & X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'_1 & X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun$' ) % 32.20/8.74 & % 32.20/8.74 ( 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 ) % 32.20/8.74 & % 32.20/8.74 ( 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun$' & X0_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 & X1_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_fun$' & 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'_2 ) % 32.20/8.74 & % 32.20/8.74 ( 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A1_a2_prod_ell2$' ) % 32.20/8.74 & % 32.20/8.74 ( X0_'A1_a2_prod_ell2'!=iProver_Domain_'A1_a2_prod_ell2'_1 | X1_'A1_a2_prod_ell2'!=iProver_Domain_'A1_a2_prod_ell2'_2 ) % 32.20/8.74 & % 32.20/8.74 ( X0_'A1_a2_prod_ell2'!=iProver_Domain_'A1_a2_prod_ell2'_2 | X1_'A1_a2_prod_ell2'!=iProver_Domain_'A1_a2_prod_ell2'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_cblinfun$' & 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A1_a1_a3_prod_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun$' & X0_'A1_a1_a3_prod_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a3_prod_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'_1 & X1_'A1_a1_a3_prod_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a3_prod_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun$' & 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun$' & X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 ) % 32.20/8.74 & % 32.20/8.74 ( X1_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_cblinfun$' & X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_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'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B3_ell2_a1_ell2_cblinfun$' & X0_'B3_ell2_a1_ell2_cblinfun'=iProver_Domain_'B3_ell2_a1_ell2_cblinfun'_1 & X1_'B3_ell2_a1_ell2_cblinfun'=iProver_Domain_'B3_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun$' & 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'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A1_a1_a1_prod_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun$' & X0_'A1_a1_a1_prod_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a1_prod_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun'_1 & X1_'A1_a1_a1_prod_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a1_prod_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_fun$' & 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='B2_a2_prod_ell2_b2_a2_prod_ell2_cblinfun$' ) % 32.20/8.74 & % 32.20/8.74 ( X0_'B2_a2_prod_ell2_b2_a2_prod_ell2_cblinfun'!=iProver_Domain_'B2_a2_prod_ell2_b2_a2_prod_ell2_cblinfun'_1 | X1_'B2_a2_prod_ell2_b2_a2_prod_ell2_cblinfun'!=iProver_Domain_'B2_a2_prod_ell2_b2_a2_prod_ell2_cblinfun'_2 ) % 32.20/8.74 & % 32.20/8.74 ( X0_'B2_a2_prod_ell2_b2_a2_prod_ell2_cblinfun'!=iProver_Domain_'B2_a2_prod_ell2_b2_a2_prod_ell2_cblinfun'_2 | X1_'B2_a2_prod_ell2_b2_a2_prod_ell2_cblinfun'!=iProver_Domain_'B2_a2_prod_ell2_b2_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A1_a1_a1_prod_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun$' & 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 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_fun$' & X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_fun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_fun'_2 ) % 32.20/8.74 & % 32.20/8.74 ( X1_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_fun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_fun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A2_a1_prod_ell2_a2_a1_prod_ell2_cblinfun$' & 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'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_tType='A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_cblinfun$' & X0_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_cblinfun'_1 & X1_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'cbilinear$d' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [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'] : % 32.20/8.74 ( 'cbilinear$d'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun_fun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun_fun'='cblinfun_compose$ao' ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'heterogenous_same_type_cblinfun$a' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A2_ell2_itself',X0_'A1_a2_prod_ell2_itself'] : % 32.20/8.74 ( 'heterogenous_same_type_cblinfun$a'(X0_'A2_ell2_itself',X0_'A1_a2_prod_ell2_itself') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'cbilinear$f' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A2_ell2_a2_ell2_cblinfun_unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun_fun'] : % 32.20/8.74 ( 'cbilinear$f'(X0_'A2_ell2_a2_ell2_cblinfun_unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun_fun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'A2_ell2_a2_ell2_cblinfun_unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun_fun'='tensor_op$g' ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'iso_cblinfun$i' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A2_ell2_a1_a2_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'iso_cblinfun$i'(X0_'A2_ell2_a1_a2_prod_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$ai' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'B2_ell2_b2_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$ai'(X0_'B2_ell2_b2_ell2_cblinfun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'isometry$u' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A1_ell2_a1_ell2_cblinfun'] : % 32.20/8.74 ( 'isometry$u'(X0_'A1_ell2_a1_ell2_cblinfun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'iso_cblinfun$g' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A2_ell2_a2_a3_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'iso_cblinfun$g'(X0_'A2_ell2_a2_a3_prod_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$l' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'B1_ell2_complex_cblinfun'] : % 32.20/8.74 ( 'unitary$l'(X0_'B1_ell2_complex_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$h' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A1_ell2_b1_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$h'(X0_'A1_ell2_b1_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'isometry$b' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'isometry$b'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'iso_cblinfun$b' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'B2_ell2_a2_ell2_cblinfun'] : % 32.20/8.74 ( 'iso_cblinfun$b'(X0_'B2_ell2_a2_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'less_eq$f' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'B2_ell2_b2_ell2_cblinfun',X1_'B2_ell2_b2_ell2_cblinfun'] : % 32.20/8.74 ( 'less_eq$f'(X0_'B2_ell2_b2_ell2_cblinfun',X1_'B2_ell2_b2_ell2_cblinfun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X1_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$ac' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'B1_ell2_b1_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$ac'(X0_'B1_ell2_b1_ell2_cblinfun') <=> % 32.20/8.74 $true % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$m' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A3_ell2_complex_cblinfun'] : % 32.20/8.74 ( 'unitary$m'(X0_'A3_ell2_complex_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'iso_cblinfun$e' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A2_ell2_b1_b2_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'iso_cblinfun$e'(X0_'A2_ell2_b1_b2_prod_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'iso_cblinfun$n' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'Complex_b1_ell2_cblinfun'] : % 32.20/8.74 ( 'iso_cblinfun$n'(X0_'Complex_b1_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'iso_cblinfun$a' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A2_ell2_b2_ell2_cblinfun'] : % 32.20/8.74 ( 'iso_cblinfun$a'(X0_'A2_ell2_b2_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$v' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$v'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$e' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'Complex_a1_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$e'(X0_'Complex_a1_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$a' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$a'(X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$o' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'B1_ell2_a1_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$o'(X0_'B1_ell2_a1_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$y' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$y'(X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> % 32.20/8.74 $true % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'less_eq$g' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A2_ell2_a2_ell2_cblinfun',X1_'A2_ell2_a2_ell2_cblinfun'] : % 32.20/8.74 ( 'less_eq$g'(X0_'A2_ell2_a2_ell2_cblinfun',X1_'A2_ell2_a2_ell2_cblinfun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X1_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$i' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A1_ell2_a1_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$i'(X0_'A1_ell2_a1_ell2_cblinfun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'iso_cblinfun$o' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'Complex_a3_ell2_cblinfun'] : % 32.20/8.74 ( 'iso_cblinfun$o'(X0_'Complex_a3_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$p' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'B2_ell2_a2_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$p'(X0_'B2_ell2_a2_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$f' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A2_ell2_b2_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$f'(X0_'A2_ell2_b2_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$aj' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'B1_b2_prod_ell2_b2_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$aj'(X0_'B1_b2_prod_ell2_b2_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'iso_cblinfun$d' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'B2_ell2_b1_b2_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'iso_cblinfun$d'(X0_'B2_ell2_b1_b2_prod_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$t' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$t'(X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'isometry$d' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'Complex_a3_ell2_cblinfun'] : % 32.20/8.74 ( 'isometry$d'(X0_'Complex_a3_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'less_eq$' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [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'] : % 32.20/8.74 ( 'less_eq$'(X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X1_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 & X1_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$g' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A2_ell2_a2_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$g'(X0_'A2_ell2_a2_ell2_cblinfun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'iso_cblinfun$f' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'B2_ell2_a2_a3_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'iso_cblinfun$f'(X0_'B2_ell2_a2_a3_prod_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$n' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A1_ell2_complex_cblinfun'] : % 32.20/8.74 ( 'unitary$n'(X0_'A1_ell2_complex_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'heterogenous_same_type_cblinfun$f' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A2_a3_prod_ell2_itself',X1_'A2_a3_prod_ell2_itself'] : % 32.20/8.74 ( 'heterogenous_same_type_cblinfun$f'(X0_'A2_a3_prod_ell2_itself',X1_'A2_a3_prod_ell2_itself') <=> % 32.20/8.74 $true % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$u' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$u'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$j' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$j'(X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'isometry$r' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'isometry$r'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$w' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$w'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$al' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A2_a3_prod_ell2_b2_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$al'(X0_'A2_a3_prod_ell2_b2_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$ae' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$ae'(X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'is_Proj$' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A1_ell2_a1_ell2_cblinfun'] : % 32.20/8.74 ( 'is_Proj$'(X0_'A1_ell2_a1_ell2_cblinfun') <=> % 32.20/8.74 $true % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$am' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A2_a3_prod_ell2_a2_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$am'(X0_'A2_a3_prod_ell2_a2_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'cbilinear$a' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [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'] : % 32.20/8.74 ( 'cbilinear$a'(X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun_fun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun_fun'='cblinfun_compose$ak' ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'iso_cblinfun$p' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'Complex_a1_ell2_cblinfun'] : % 32.20/8.74 ( 'iso_cblinfun$p'(X0_'Complex_a1_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'isometry$a' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'isometry$a'(X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'cbilinear$' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [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'] : % 32.20/8.74 ( 'cbilinear$'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun'='cblinfun_compose$a' ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'cbilinear$h' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A1_ell2_b1_ell2_cblinfun_a2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun'] : % 32.20/8.74 ( 'cbilinear$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') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( 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$w' ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'isometry$m' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A2_ell2_b2_ell2_cblinfun'] : % 32.20/8.74 ( 'isometry$m'(X0_'A2_ell2_b2_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$aa' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'Complex_b3_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$aa'(X0_'Complex_b3_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$ao' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A1_a2_prod_ell2_a2_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$ao'(X0_'A1_a2_prod_ell2_a2_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$an' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A1_a2_prod_ell2_b2_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$an'(X0_'A1_a2_prod_ell2_b2_ell2_cblinfun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'A1_a2_prod_ell2_b2_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$ar' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$ar'(X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'cbilinear$i' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [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'] : % 32.20/8.74 ( 'cbilinear$i'(X0_'A1_ell2_a1_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun_fun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'A1_ell2_a1_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun_fun'='tensor_op$b' ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$ah' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$ah'(X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun') <=> % 32.20/8.74 $true % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'isometry$g' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A3_ell2_complex_cblinfun'] : % 32.20/8.74 ( 'isometry$g'(X0_'A3_ell2_complex_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'iso_cblinfun$k' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A3_ell2_complex_cblinfun'] : % 32.20/8.74 ( 'iso_cblinfun$k'(X0_'A3_ell2_complex_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'isometry$c' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'Complex_b1_ell2_cblinfun'] : % 32.20/8.74 ( 'isometry$c'(X0_'Complex_b1_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'less_eq$c' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun',X1_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'less_eq$c'(X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun',X1_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$ak' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'B1_b2_prod_ell2_a2_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$ak'(X0_'B1_b2_prod_ell2_a2_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'less_eq$e' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun',X1_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'less_eq$e'(X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun',X1_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X1_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$k' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$k'(X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'isometry$n' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A2_ell2_a2_ell2_cblinfun'] : % 32.20/8.74 ( 'isometry$n'(X0_'A2_ell2_a2_ell2_cblinfun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'heterogenous_same_type_cblinfun$g' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'B1_b2_prod_ell2_itself',X1_'B1_b2_prod_ell2_itself'] : % 32.20/8.74 ( 'heterogenous_same_type_cblinfun$g'(X0_'B1_b2_prod_ell2_itself',X1_'B1_b2_prod_ell2_itself') <=> % 32.20/8.74 $true % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'cbilinear$b' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [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'] : % 32.20/8.74 ( 'cbilinear$b'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun_fun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun_fun'='cblinfun_compose$am' ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'iso_cblinfun$m' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'iso_cblinfun$m'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'less_eq$a' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [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'] : % 32.20/8.74 ( 'less_eq$a'(X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X1_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 & X1_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$c' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'Complex_b1_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$c'(X0_'Complex_b1_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'less_eq$d' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'less_eq$d'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$'(X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'heterogenous_same_type_cblinfun$e' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A1_a2_prod_ell2_itself',X1_'A1_a2_prod_ell2_itself'] : % 32.20/8.74 ( 'heterogenous_same_type_cblinfun$e'(X0_'A1_a2_prod_ell2_itself',X1_'A1_a2_prod_ell2_itself') <=> % 32.20/8.74 $true % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$aq' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$aq'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun') <=> % 32.20/8.74 $true % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$af' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$af'(X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun') <=> % 32.20/8.74 $true % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'iso_cblinfun$l' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A1_ell2_complex_cblinfun'] : % 32.20/8.74 ( 'iso_cblinfun$l'(X0_'A1_ell2_complex_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$r' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A2_ell2_a2_a3_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$r'(X0_'A2_ell2_a2_a3_prod_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'cbilinear$g' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A2_ell2_a2_ell2_cblinfun_a3_ell2_a3_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun_fun'] : % 32.20/8.74 ( 'cbilinear$g'(X0_'A2_ell2_a2_ell2_cblinfun_a3_ell2_a3_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun_fun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'A2_ell2_a2_ell2_cblinfun_a3_ell2_a3_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun_fun'='tensor_op$c' ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'heterogenous_same_type_cblinfun$c' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A2_ell2_itself',X1_'A2_ell2_itself'] : % 32.20/8.74 ( 'heterogenous_same_type_cblinfun$c'(X0_'A2_ell2_itself',X1_'A2_ell2_itself') <=> % 32.20/8.74 $true % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$b' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$b'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'heterogenous_same_type_cblinfun$b' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A2_ell2_itself',X0_'B2_ell2_itself'] : % 32.20/8.74 ( 'heterogenous_same_type_cblinfun$b'(X0_'A2_ell2_itself',X0_'B2_ell2_itself') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$ag' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$ag'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> % 32.20/8.74 $true % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'iso_cblinfun$h' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'B2_ell2_a1_a2_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'iso_cblinfun$h'(X0_'B2_ell2_a1_a2_prod_ell2_cblinfun') <=> % 32.20/8.74 $true % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'isometry$x' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'isometry$x'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'iso_cblinfun$j' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'B1_ell2_complex_cblinfun'] : % 32.20/8.74 ( 'iso_cblinfun$j'(X0_'B1_ell2_complex_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$s' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A2_ell2_a1_a2_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$s'(X0_'A2_ell2_a1_a2_prod_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'isometry$f' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'B1_ell2_complex_cblinfun'] : % 32.20/8.74 ( 'isometry$f'(X0_'B1_ell2_complex_cblinfun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'B1_ell2_complex_cblinfun'!=iProver_Domain_'B1_ell2_complex_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_'B1_ell2_complex_cblinfun'=iProver_Domain_'B1_ell2_complex_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'isometry$i' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A1_ell2_b1_ell2_cblinfun'] : % 32.20/8.74 ( 'isometry$i'(X0_'A1_ell2_b1_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'isometry$s' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'isometry$s'(X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'heterogenous_same_type_cblinfun$d' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'B2_ell2_itself',X1_'B2_ell2_itself'] : % 32.20/8.74 ( 'heterogenous_same_type_cblinfun$d'(X0_'B2_ell2_itself',X1_'B2_ell2_itself') <=> % 32.20/8.74 $true % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'iso_cblinfun$c' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A2_ell2_a2_ell2_cblinfun'] : % 32.20/8.74 ( 'iso_cblinfun$c'(X0_'A2_ell2_a2_ell2_cblinfun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'isometry$' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'isometry$'(X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$ad' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A3_ell2_a3_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$ad'(X0_'A3_ell2_a3_ell2_cblinfun') <=> % 32.20/8.74 $true % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$q' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A2_ell2_b1_b2_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$q'(X0_'A2_ell2_b1_b2_prod_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'iso_cblinfun$' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'B2_ell2_b2_ell2_cblinfun'] : % 32.20/8.74 ( 'iso_cblinfun$'(X0_'B2_ell2_b2_ell2_cblinfun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'isometry$q' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'isometry$q'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'isometry$h' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A1_ell2_complex_cblinfun'] : % 32.20/8.74 ( 'isometry$h'(X0_'A1_ell2_complex_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'cbilinear$c' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [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'] : % 32.20/8.74 ( 'cbilinear$c'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun'='cblinfun_compose$' ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'isometry$e' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'Complex_a1_ell2_cblinfun'] : % 32.20/8.74 ( 'isometry$e'(X0_'Complex_a1_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'cbilinear$e' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A2_ell2_b2_ell2_cblinfun_unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun_fun'] : % 32.20/8.74 ( 'cbilinear$e'(X0_'A2_ell2_b2_ell2_cblinfun_unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun_fun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'A2_ell2_b2_ell2_cblinfun_unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun_fun'='tensor_op$q' ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'is_Proj$a' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'is_Proj$a'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> % 32.20/8.74 $true % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'heterogenous_same_type_cblinfun$' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A2_ell2_itself',X0_'A2_a3_prod_ell2_itself'] : % 32.20/8.74 ( 'heterogenous_same_type_cblinfun$'(X0_'A2_ell2_itself',X0_'A2_a3_prod_ell2_itself') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'isometry$w' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'B1_b2_prod_ell2_a2_ell2_cblinfun'] : % 32.20/8.74 ( 'isometry$w'(X0_'B1_b2_prod_ell2_a2_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$ap' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$ap'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun') <=> % 32.20/8.74 $true % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'unitary$d' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'Complex_a3_ell2_cblinfun'] : % 32.20/8.74 ( 'unitary$d'(X0_'Complex_a3_ell2_cblinfun') <=> % 32.20/8.74 $false % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of 'less_eq$b' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [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'] : % 32.20/8.74 ( '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') <=> % 32.20/8.74 $true % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of iProver_Flat_'plus$b' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'B3_ell2',X1_'B3_ell2',X2_'B3_ell2'] : % 32.20/8.74 ( iProver_Flat_'plus$b'(X0_'B3_ell2',X1_'B3_ell2',X2_'B3_ell2') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'B3_ell2'=iProver_Domain_'B3_ell2'_1 ) % 32.20/8.74 & % 32.20/8.74 ( X1_'B3_ell2'!=iProver_Domain_'B3_ell2'_1 ) % 32.20/8.74 & % 32.20/8.74 ( X2_'B3_ell2'!=iProver_Domain_'B3_ell2'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_'B3_ell2'=iProver_Domain_'B3_ell2'_1 & X1_'B3_ell2'=iProver_Domain_'B3_ell2'_1 & X2_'B3_ell2'=iProver_Domain_'B3_ell2'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_'B3_ell2'=iProver_Domain_'B3_ell2'_2 & X1_'B3_ell2'=iProver_Domain_'B3_ell2'_1 ) % 32.20/8.74 & % 32.20/8.74 ( X2_'B3_ell2'!=iProver_Domain_'B3_ell2'_1 ) % 32.20/8.74 & % 32.20/8.74 ( X2_'B3_ell2'!=iProver_Domain_'B3_ell2'_2 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_'B3_ell2'=iProver_Domain_'B3_ell2'_2 & X1_'B3_ell2'=iProver_Domain_'B3_ell2'_1 & X2_'B3_ell2'=iProver_Domain_'B3_ell2'_2 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_'B3_ell2'=iProver_Domain_'B3_ell2'_2 & X1_'B3_ell2'=iProver_Domain_'B3_ell2'_2 & X2_'B3_ell2'=iProver_Domain_'B3_ell2'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_'B3_ell2'=iProver_Domain_'B3_ell2'_2 & X2_'B3_ell2'=iProver_Domain_'B3_ell2'_1 ) % 32.20/8.74 & % 32.20/8.74 ( X1_'B3_ell2'!=iProver_Domain_'B3_ell2'_1 ) % 32.20/8.74 & % 32.20/8.74 ( X1_'B3_ell2'!=iProver_Domain_'B3_ell2'_2 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of iProver_Flat_'cblinfun_inv$j' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'Complex_b1_ell2_cblinfun',X0_'B1_ell2_complex_cblinfun'] : % 32.20/8.74 ( iProver_Flat_'cblinfun_inv$j'(X0_'Complex_b1_ell2_cblinfun',X0_'B1_ell2_complex_cblinfun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'Complex_b1_ell2_cblinfun'=iProver_Domain_'Complex_b1_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of iProver_Flat_'cblinfun_compose$k' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A2_ell2_b2_ell2_cblinfun',X1_'A2_ell2_b2_ell2_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun'] : % 32.20/8.74 ( iProver_Flat_'cblinfun_compose$k'(X0_'A2_ell2_b2_ell2_cblinfun',X1_'A2_ell2_b2_ell2_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'A2_ell2_b2_ell2_cblinfun'=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of iProver_Flat_'zero$ar' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'B2_ell2_b2_ell2_cblinfun'] : % 32.20/8.74 ( iProver_Flat_'zero$ar'(X0_'B2_ell2_b2_ell2_cblinfun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_2 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of iProver_Flat_'vector_to_cblinfun$h' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'Complex_a2_ell2_cblinfun',X0_'A2_ell2'] : % 32.20/8.74 ( iProver_Flat_'vector_to_cblinfun$h'(X0_'Complex_a2_ell2_cblinfun',X0_'A2_ell2') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'Complex_a2_ell2_cblinfun'=iProver_Domain_'Complex_a2_ell2_cblinfun'_2 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of iProver_Flat_'cblinfun_compose$s' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'Unit_ell2_a3_ell2_cblinfun',X0_'A3_ell2_a3_ell2_cblinfun',X1_'Unit_ell2_a3_ell2_cblinfun'] : % 32.20/8.74 ( iProver_Flat_'cblinfun_compose$s'(X0_'Unit_ell2_a3_ell2_cblinfun',X0_'A3_ell2_a3_ell2_cblinfun',X1_'Unit_ell2_a3_ell2_cblinfun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_2 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of iProver_Flat_'cblinfun_compose$bn' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [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'] : % 32.20/8.74 ( iProver_Flat_'cblinfun_compose$bn'(X0_'B2_b1_prod_ell2_b2_b1_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun',X0_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'B2_b1_prod_ell2_b2_b1_prod_ell2_cblinfun'=iProver_Domain_'B2_b1_prod_ell2_b2_b1_prod_ell2_cblinfun'_1 ) % 32.20/8.74 & % 32.20/8.74 ( X0_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_'B2_b1_prod_ell2_b2_b1_prod_ell2_cblinfun'=iProver_Domain_'B2_b1_prod_ell2_b2_b1_prod_ell2_cblinfun'_1 & X0_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of iProver_Flat_'adj$k' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'] : % 32.20/8.74 ( iProver_Flat_'adj$k'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 & X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) % 32.20/8.74 & % 32.20/8.74 ( X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of iProver_Flat_'cblinfun_apply$z' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [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'] : % 32.20/8.74 ( iProver_Flat_'cblinfun_apply$z'(X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_fun',X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_fun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_fun'_1 ) % 32.20/8.74 & % 32.20/8.74 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 | % 32.20/8.74 ( % 32.20/8.74 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_fun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_fun'_1 & X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.74 ) % 32.20/8.74 % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ) % 32.20/8.74 ). % 32.20/8.74 % 32.20/8.74 %------ Positive definition of iProver_Flat_'cblinfun_compose$dx' % 32.20/8.74 fof(lit_def,axiom, % 32.20/8.74 (! [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'] : % 32.20/8.74 ( iProver_Flat_'cblinfun_compose$dx'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X1_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> % 32.20/8.74 ( % 32.20/8.74 ( % 32.20/8.74 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 & X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'adj$ac' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'B2_ell2_b2_ell2_cblinfun',X1_'B2_ell2_b2_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'adj$ac'(X0_'B2_ell2_b2_ell2_cblinfun',X1_'B2_ell2_b2_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 & X1_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_2 ) % 32.20/8.75 & % 32.20/8.75 ( X1_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'cblinfun_apply$t' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.75 ( 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') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( 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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( 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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_2 ) % 32.20/8.75 & % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( X1_'A1_a2_a3_prod_prod_ell2'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( X1_'A1_a2_a3_prod_prod_ell2'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'cblinfun_compose$cs' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.75 ( iProver_Flat_'cblinfun_compose$cs'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X1_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X2_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X1_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X2_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.75 & % 32.20/8.75 ( X1_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 | X2_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'vector_to_cblinfun$b' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'Unit_ell2_a1_ell2_cblinfun',X0_'A1_ell2'] : % 32.20/8.75 ( iProver_Flat_'vector_to_cblinfun$b'(X0_'Unit_ell2_a1_ell2_cblinfun',X0_'A1_ell2') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_2 & X0_'A1_ell2'=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'c$a' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'A2_ell2_b2_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'c$a'(X0_'A2_ell2_b2_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A2_ell2_b2_ell2_cblinfun'=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'cblinfun_compose$bk' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'B2_ell2_b2_ell2_cblinfun',X0_'A2_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'cblinfun_compose$bk'(X0_'B2_ell2_b2_ell2_cblinfun',X0_'A2_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'id$e' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun'] : % 32.20/8.75 ( iProver_Flat_'id$e'(X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'tensor_op$p' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'B2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun',X0_'Unit_ell2_unit_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'tensor_op$p'(X0_'B2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun',X0_'Unit_ell2_unit_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'B2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'B2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'cblinfun_apply$aa' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.75 ( iProver_Flat_'cblinfun_apply$aa'(X0_'Unit_b2_unit_prod_prod_ell2',X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'Unit_b2_unit_prod_prod_ell2'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2'_2 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'Unit_b2_unit_prod_prod_ell2'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2'_2 & X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'Unit_b2_unit_prod_prod_ell2'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2'_2 & X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'cblinfun_apply$y' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.75 ( iProver_Flat_'cblinfun_apply$y'(X0_'Unit_b2_unit_prod_prod_ell2',X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'Unit_b2_unit_prod_prod_ell2'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2'_1 & X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'A1_a2_a3_prod_prod_ell2'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'Unit_b2_unit_prod_prod_ell2'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2'_2 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'A1_a2_a3_prod_prod_ell2'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'Unit_b2_unit_prod_prod_ell2'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2'_2 & X0_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'Unit_b2_unit_prod_prod_ell2'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2'_2 & X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 & X0_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'tensor_ell2$j' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'B1_b3_prod_ell2',X0_'B1_ell2',X0_'B3_ell2'] : % 32.20/8.75 ( iProver_Flat_'tensor_ell2$j'(X0_'B1_b3_prod_ell2',X0_'B1_ell2',X0_'B3_ell2') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'B1_b3_prod_ell2'=iProver_Domain_'B1_b3_prod_ell2'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'B1_b3_prod_ell2'=iProver_Domain_'B1_b3_prod_ell2'_1 & X0_'B1_ell2'=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'tensor_ell2$' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'B2_unit_prod_ell2',X0_'B2_ell2',X0_'Unit_ell2'] : % 32.20/8.75 ( iProver_Flat_'tensor_ell2$'(X0_'B2_unit_prod_ell2',X0_'B2_ell2',X0_'Unit_ell2') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'B2_unit_prod_ell2'=iProver_Domain_'B2_unit_prod_ell2'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'Unit_ell2'!=iProver_Domain_'Unit_ell2'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'B2_unit_prod_ell2'=iProver_Domain_'B2_unit_prod_ell2'_1 & X0_'Unit_ell2'=iProver_Domain_'Unit_ell2'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'cblinfun_compose$j' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.75 ( iProver_Flat_'cblinfun_compose$j'(X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'A2_a3_prod_ell2_b2_unit_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_2 & X0_'A2_a3_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'id_cblinfun$p' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'id_cblinfun$p'(X0_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'plus$p' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.75 ( 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') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( 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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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 & 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 ) % 32.20/8.75 & % 32.20/8.75 ( 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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( 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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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 & 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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'cblinfun_compose$ej' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'A3_ell2_a3_ell2_cblinfun',X0_'B3_ell2_a3_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'cblinfun_compose$ej'(X0_'A3_ell2_a3_ell2_cblinfun',X0_'B3_ell2_a3_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'tensor_op$ay' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.75 ( iProver_Flat_'tensor_op$ay'(X0_'A1_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'adj$ab' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun',X1_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'adj$ab'(X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun',X1_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 & X1_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_2 ) % 32.20/8.75 & % 32.20/8.75 ( X1_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'vector_to_cblinfun$' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'Unit_ell2_b1_ell2_cblinfun',X0_'B1_ell2'] : % 32.20/8.75 ( iProver_Flat_'vector_to_cblinfun$'(X0_'Unit_ell2_b1_ell2_cblinfun',X0_'B1_ell2') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 & X0_'B1_ell2'=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_2 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'plus$c' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'A3_ell2',X1_'A3_ell2',X2_'A3_ell2'] : % 32.20/8.75 ( iProver_Flat_'plus$c'(X0_'A3_ell2',X1_'A3_ell2',X2_'A3_ell2') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A3_ell2'=iProver_Domain_'A3_ell2'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X1_'A3_ell2'!=iProver_Domain_'A3_ell2'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X1_'A3_ell2'!=iProver_Domain_'A3_ell2'_1 | X2_'A3_ell2'!=iProver_Domain_'A3_ell2'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X2_'A3_ell2'!=iProver_Domain_'A3_ell2'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'A3_ell2'=iProver_Domain_'A3_ell2'_1 & X1_'A3_ell2'=iProver_Domain_'A3_ell2'_1 & X2_'A3_ell2'=iProver_Domain_'A3_ell2'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'A3_ell2'=iProver_Domain_'A3_ell2'_2 & X1_'A3_ell2'=iProver_Domain_'A3_ell2'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X2_'A3_ell2'!=iProver_Domain_'A3_ell2'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X2_'A3_ell2'!=iProver_Domain_'A3_ell2'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'A3_ell2'=iProver_Domain_'A3_ell2'_2 & X1_'A3_ell2'=iProver_Domain_'A3_ell2'_1 & X2_'A3_ell2'=iProver_Domain_'A3_ell2'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'A3_ell2'=iProver_Domain_'A3_ell2'_2 & X1_'A3_ell2'=iProver_Domain_'A3_ell2'_2 & X2_'A3_ell2'=iProver_Domain_'A3_ell2'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'A3_ell2'=iProver_Domain_'A3_ell2'_2 & X2_'A3_ell2'=iProver_Domain_'A3_ell2'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X1_'A3_ell2'!=iProver_Domain_'A3_ell2'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X1_'A3_ell2'!=iProver_Domain_'A3_ell2'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'cblinfun_compose$dk' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.75 ( iProver_Flat_'cblinfun_compose$dk'(X0_'A1_a1_a3_prod_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_a3_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun',X0_'A1_a1_a3_prod_prod_ell2_a1_a1_prod_a3_prod_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_a1_a3_prod_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a3_prod_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'psi_n$a' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'A1_ell2'] : % 32.20/8.75 ( iProver_Flat_'psi_n$a'(X0_'A1_ell2') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_ell2'=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'id_cblinfun$n' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'B1_b2_prod_a2_prod_ell2_b1_b2_prod_a2_prod_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'id_cblinfun$n'(X0_'B1_b2_prod_a2_prod_ell2_b1_b2_prod_a2_prod_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'B1_b2_prod_a2_prod_ell2_b1_b2_prod_a2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_a2_prod_ell2_b1_b2_prod_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'zero$n' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'B1_a1_prod_ell2'] : % 32.20/8.75 ( iProver_Flat_'zero$n'(X0_'B1_a1_prod_ell2') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'B1_a1_prod_ell2'=iProver_Domain_'B1_a1_prod_ell2'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'tensor_op$au' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'A1_a1_prod_ell2_a1_b1_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X0_'A1_ell2_b1_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'tensor_op$au'(X0_'A1_a1_prod_ell2_a1_b1_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X0_'A1_ell2_b1_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_a1_prod_ell2_a1_b1_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_ell2_a1_b1_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'plus$l' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.75 ( 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') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( X2_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'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 ) % 32.20/8.75 & % 32.20/8.75 ( X1_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) % 32.20/8.75 & % 32.20/8.75 ( X1_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X2_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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 & X2_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'cblinfun_compose$ap' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'B1_ell2_b1_ell2_cblinfun',X0_'Unit_ell2_b1_ell2_cblinfun',X0_'B1_ell2_unit_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'cblinfun_compose$ap'(X0_'B1_ell2_b1_ell2_cblinfun',X0_'Unit_ell2_b1_ell2_cblinfun',X0_'B1_ell2_unit_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'B1_ell2_unit_ell2_cblinfun'!=iProver_Domain_'B1_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'B1_ell2_unit_ell2_cblinfun'!=iProver_Domain_'B1_ell2_unit_ell2_cblinfun'_1 | X0_'Unit_ell2_b1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'B1_ell2_unit_ell2_cblinfun'!=iProver_Domain_'B1_ell2_unit_ell2_cblinfun'_2 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'B1_ell2_unit_ell2_cblinfun'!=iProver_Domain_'B1_ell2_unit_ell2_cblinfun'_2 | X0_'Unit_ell2_b1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'Unit_ell2_b1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 & X0_'B1_ell2_unit_ell2_cblinfun'=iProver_Domain_'B1_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'Unit_ell2_b1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 & X0_'B1_ell2_unit_ell2_cblinfun'=iProver_Domain_'B1_ell2_unit_ell2_cblinfun'_2 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'Unit_ell2_b1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'B1_ell2_unit_ell2_cblinfun'!=iProver_Domain_'B1_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'B1_ell2_unit_ell2_cblinfun'!=iProver_Domain_'B1_ell2_unit_ell2_cblinfun'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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 & X0_'B1_ell2_unit_ell2_cblinfun'=iProver_Domain_'B1_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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 & X0_'B1_ell2_unit_ell2_cblinfun'=iProver_Domain_'B1_ell2_unit_ell2_cblinfun'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'cblinfun_compose$cw' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.75 ( iProver_Flat_'cblinfun_compose$cw'(X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X1_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 & X1_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'cblinfun_compose$y' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'A1_ell2_b1_ell2_cblinfun',X0_'B1_ell2_b1_ell2_cblinfun',X1_'A1_ell2_b1_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'cblinfun_compose$y'(X0_'A1_ell2_b1_ell2_cblinfun',X0_'B1_ell2_b1_ell2_cblinfun',X1_'A1_ell2_b1_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X1_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X1_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 & X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 & X1_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_2 & X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X1_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X1_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_2 & X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 & X1_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'fun_app$b' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.75 ( 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') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( 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'_2 ) % 32.20/8.75 & % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( 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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( 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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( 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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( 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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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 & 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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'tensor_ell2$t' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'B1_a1_prod_ell2',X0_'B1_ell2',X0_'A1_ell2'] : % 32.20/8.75 ( iProver_Flat_'tensor_ell2$t'(X0_'B1_a1_prod_ell2',X0_'B1_ell2',X0_'A1_ell2') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'B1_a1_prod_ell2'=iProver_Domain_'B1_a1_prod_ell2'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'swap_ell2$f' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'swap_ell2$f'(X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'tensor_op$aq' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.75 ( iProver_Flat_'tensor_op$aq'(X0_'A1_a1_prod_a2_prod_ell2_a1_a1_prod_a2_prod_ell2_cblinfun',X0_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_a1_prod_a2_prod_ell2_a1_a1_prod_a2_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a2_prod_ell2_a1_a1_prod_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'zero$ac' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'zero$ac'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'zero$ab' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'zero$ab'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'zero$y' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'A2_ell2_a2_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'zero$y'(X0_'A2_ell2_a2_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'cblinfun_apply$l' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'A2_ell2_a2_ell2_fun',X0_'A2_ell2_a2_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'cblinfun_apply$l'(X0_'A2_ell2_a2_ell2_fun',X0_'A2_ell2_a2_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A2_ell2_a2_ell2_fun'=iProver_Domain_'A2_ell2_a2_ell2_fun'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'assoc_ell2$b' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'assoc_ell2$b'(X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'cblinfun_compose$r' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.75 ( iProver_Flat_'cblinfun_compose$r'(X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X1_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'cblinfun_compose$bt' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.75 ( iProver_Flat_'cblinfun_compose$bt'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 | X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 & X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 & X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'cblinfun_compose$dn' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.75 ( iProver_Flat_'cblinfun_compose$dn'(X0_'A1_a1_prod_a3_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun',X1_'A1_a1_prod_a3_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_a3_prod_ell2_a1_a1_prod_a3_prod_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_a1_prod_a3_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a3_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'fun_app$y' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'B2_ell2',X0_'B2_ell2_b2_ell2_fun',X1_'B2_ell2'] : % 32.20/8.75 ( iProver_Flat_'fun_app$y'(X0_'B2_ell2',X0_'B2_ell2_b2_ell2_fun',X1_'B2_ell2') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'B2_ell2'=iProver_Domain_'B2_ell2'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'B2_ell2_b2_ell2_fun'!=iProver_Domain_'B2_ell2_b2_ell2_fun'_1 | X1_'B2_ell2'!=iProver_Domain_'B2_ell2'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'B2_ell2'=iProver_Domain_'B2_ell2'_2 & X0_'B2_ell2_b2_ell2_fun'=iProver_Domain_'B2_ell2_b2_ell2_fun'_1 & X1_'B2_ell2'=iProver_Domain_'B2_ell2'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'adj$f' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'Unit_ell2_a3_ell2_cblinfun',X0_'A3_ell2_unit_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'adj$f'(X0_'Unit_ell2_a3_ell2_cblinfun',X0_'A3_ell2_unit_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_2 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'A3_ell2_unit_ell2_cblinfun'!=iProver_Domain_'A3_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_2 & X0_'A3_ell2_unit_ell2_cblinfun'=iProver_Domain_'A3_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'cblinfun_inv$i' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'A1_a2_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_a1_a2_prod_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'cblinfun_inv$i'(X0_'A1_a2_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_a1_a2_prod_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_a2_prod_ell2_a2_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'cblinfun_compose$cp' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.75 ( iProver_Flat_'cblinfun_compose$cp'(X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X1_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 & X1_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.75 & % 32.20/8.75 ( X1_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'cblinfun_compose$dd' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.75 ( 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') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( 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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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_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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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'_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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'assoc_ell2$g' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'A1_a1_prod_a2_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'assoc_ell2$g'(X0_'A1_a1_prod_a2_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_a1_prod_a2_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a2_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'zero$p' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'B1_a3_prod_ell2'] : % 32.20/8.75 ( iProver_Flat_'zero$p'(X0_'B1_a3_prod_ell2') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'B1_a3_prod_ell2'=iProver_Domain_'B1_a3_prod_ell2'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'cblinfun_compose$ch' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.75 ( iProver_Flat_'cblinfun_compose$ch'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'B2_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_b2_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'cblinfun_inv$b' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'A2_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'cblinfun_inv$b'(X0_'A2_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A2_ell2_b2_ell2_cblinfun'=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'tensor_op$j' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'B2_b2_prod_ell2_b2_b2_prod_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun',X1_'B2_ell2_b2_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'tensor_op$j'(X0_'B2_b2_prod_ell2_b2_b2_prod_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun',X1_'B2_ell2_b2_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'B2_b2_prod_ell2_b2_b2_prod_ell2_cblinfun'=iProver_Domain_'B2_b2_prod_ell2_b2_b2_prod_ell2_cblinfun'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 | X1_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'B2_b2_prod_ell2_b2_b2_prod_ell2_cblinfun'=iProver_Domain_'B2_b2_prod_ell2_b2_b2_prod_ell2_cblinfun'_1 & X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 & X1_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'fun_app$r' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.75 ( 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') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( 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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( 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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( 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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'plus$ae' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.75 ( 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') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( 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 | X2_'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 ) % 32.20/8.75 & % 32.20/8.75 ( 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 | X2_'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 ) % 32.20/8.75 & % 32.20/8.75 ( 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 | X2_'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 ) % 32.20/8.75 & % 32.20/8.75 ( X2_'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 ) % 32.20/8.75 & % 32.20/8.75 ( X2_'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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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 & X2_'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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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 & X2_'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 ) % 32.20/8.75 & % 32.20/8.75 ( 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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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 & X2_'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 ) % 32.20/8.75 & % 32.20/8.75 ( 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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( X2_'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 ) % 32.20/8.75 & % 32.20/8.75 ( X2_'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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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 & X2_'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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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 & X2_'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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'tensor_op$l' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'A2_b2_prod_ell2_a2_b2_prod_ell2_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'tensor_op$l'(X0_'A2_b2_prod_ell2_a2_b2_prod_ell2_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A2_b2_prod_ell2_a2_b2_prod_ell2_cblinfun'=iProver_Domain_'A2_b2_prod_ell2_a2_b2_prod_ell2_cblinfun'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 | X0_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'A2_b2_prod_ell2_a2_b2_prod_ell2_cblinfun'=iProver_Domain_'A2_b2_prod_ell2_a2_b2_prod_ell2_cblinfun'_1 & X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 & X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'butterfly$w' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'Unit_ell2_unit_ell2_cblinfun',X0_'Unit_ell2',X1_'Unit_ell2'] : % 32.20/8.75 ( iProver_Flat_'butterfly$w'(X0_'Unit_ell2_unit_ell2_cblinfun',X0_'Unit_ell2',X1_'Unit_ell2') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'adj$ao' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.75 ( iProver_Flat_'adj$ao'(X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'adj$ak' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.75 ( iProver_Flat_'adj$ak'(X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'adj$m' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.75 ( iProver_Flat_'adj$m'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'id_cblinfun$v' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'A3_a2_prod_ell2_a3_a2_prod_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'id_cblinfun$v'(X0_'A3_a2_prod_ell2_a3_a2_prod_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A3_a2_prod_ell2_a3_a2_prod_ell2_cblinfun'=iProver_Domain_'A3_a2_prod_ell2_a3_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'fun_app$q' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.75 ( iProver_Flat_'fun_app$q'(X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun_fun',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun_fun'!='cblinfun_compose$am' ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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$am' ) % 32.20/8.75 & % 32.20/8.75 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun'_1 & X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun_fun_fun'='cblinfun_compose$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'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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 & 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$am' & X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'adj$o' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun',X0_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'adj$o'(X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun',X0_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'adj$n' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'A1_ell2_b1_ell2_cblinfun',X0_'B1_ell2_a1_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'adj$n'(X0_'A1_ell2_b1_ell2_cblinfun',X0_'B1_ell2_a1_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 & X0_'B1_ell2_a1_ell2_cblinfun'=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_2 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'B1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'adj$e' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'A2_ell2_a2_ell2_cblinfun',X1_'A2_ell2_a2_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'adj$e'(X0_'A2_ell2_a2_ell2_cblinfun',X1_'A2_ell2_a2_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 & X1_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_2 ) % 32.20/8.75 & % 32.20/8.75 ( X1_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'adj$as' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.75 ( iProver_Flat_'adj$as'(X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 & X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'fun_app$u' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.75 ( iProver_Flat_'fun_app$u'(X0_'A1_a2_prod_a3_prod_ell2',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun',X0_'A1_a2_a3_prod_prod_ell2') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_a2_prod_a3_prod_ell2'=iProver_Domain_'A1_a2_prod_a3_prod_ell2'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'A1_a2_a3_prod_prod_ell2'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 | X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_a2_prod_a3_prod_ell2'=iProver_Domain_'A1_a2_prod_a3_prod_ell2'_1 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'A1_a2_a3_prod_prod_ell2'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_a2_prod_a3_prod_ell2'=iProver_Domain_'A1_a2_prod_a3_prod_ell2'_1 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'_1 & X0_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'cblinfun_compose$cj' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.75 ( iProver_Flat_'cblinfun_compose$cj'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_a2_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'fun_app$e' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.75 ( iProver_Flat_'fun_app$e'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun',X0_'A1_ell2_a1_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun_fun',X0_'A1_ell2_a1_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun'_1 & X0_'A1_ell2_a1_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun_fun'='tensor_op$b' & X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( 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$b' | X0_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'adj$bl' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'B2_ell2_a1_a2_prod_ell2_cblinfun',X0_'A1_a2_prod_ell2_b2_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'adj$bl'(X0_'B2_ell2_a1_a2_prod_ell2_cblinfun',X0_'A1_a2_prod_ell2_b2_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'B2_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'B2_ell2_a1_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'cblinfun_apply$an' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'B3_ell2',X0_'A1_ell2_b3_ell2_cblinfun',X0_'A1_ell2'] : % 32.20/8.75 ( iProver_Flat_'cblinfun_apply$an'(X0_'B3_ell2',X0_'A1_ell2_b3_ell2_cblinfun',X0_'A1_ell2') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'B3_ell2'=iProver_Domain_'B3_ell2'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'id_cblinfun$ab' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'id_cblinfun$ab'(X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'cblinfun_compose$ah' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.75 ( 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') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( 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_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.75 & % 32.20/8.75 ( 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_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.75 & % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( 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_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.75 & % 32.20/8.75 ( 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_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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_'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 ) % 32.20/8.75 & % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( 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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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_'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 ) % 32.20/8.75 & % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( 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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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 & 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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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 & 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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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 & 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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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 & 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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'cblinfun_compose$em' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'Unit_ell2_b1_ell2_cblinfun',X0_'A1_ell2_b1_ell2_cblinfun',X0_'Unit_ell2_a1_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'cblinfun_compose$em'(X0_'Unit_ell2_b1_ell2_cblinfun',X0_'A1_ell2_b1_ell2_cblinfun',X0_'Unit_ell2_a1_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_2 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'Unit_ell2_a1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_2 & X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'cblinfun_compose$bz' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'B1_ell2_a1_ell2_cblinfun',X0_'Complex_a1_ell2_cblinfun',X0_'B1_ell2_complex_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'cblinfun_compose$bz'(X0_'B1_ell2_a1_ell2_cblinfun',X0_'Complex_a1_ell2_cblinfun',X0_'B1_ell2_complex_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'B1_ell2_a1_ell2_cblinfun'=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'Complex_a1_ell2_cblinfun'!=iProver_Domain_'Complex_a1_ell2_cblinfun'_1 | X0_'B1_ell2_complex_cblinfun'!=iProver_Domain_'B1_ell2_complex_cblinfun'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'Complex_a1_ell2_cblinfun'!=iProver_Domain_'Complex_a1_ell2_cblinfun'_2 | X0_'B1_ell2_complex_cblinfun'!=iProver_Domain_'B1_ell2_complex_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'B1_ell2_a1_ell2_cblinfun'=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_1 & X0_'Complex_a1_ell2_cblinfun'=iProver_Domain_'Complex_a1_ell2_cblinfun'_1 & X0_'B1_ell2_complex_cblinfun'=iProver_Domain_'B1_ell2_complex_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'B1_ell2_a1_ell2_cblinfun'=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_1 & X0_'Complex_a1_ell2_cblinfun'=iProver_Domain_'Complex_a1_ell2_cblinfun'_2 & X0_'B1_ell2_complex_cblinfun'=iProver_Domain_'B1_ell2_complex_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'plus$ad' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.75 ( 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') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( 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 | X2_'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 ) % 32.20/8.75 & % 32.20/8.75 ( X2_'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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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 & X2_'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 ) % 32.20/8.75 & % 32.20/8.75 ( 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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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 ) % 32.20/8.75 & % 32.20/8.75 ( X2_'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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( 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 & X2_'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 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'plus$e' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'B1_ell2_b1_ell2_cblinfun',X1_'B1_ell2_b1_ell2_cblinfun',X2_'B1_ell2_b1_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'plus$e'(X0_'B1_ell2_b1_ell2_cblinfun',X1_'B1_ell2_b1_ell2_cblinfun',X2_'B1_ell2_b1_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 & X1_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X2_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 & X1_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 & X2_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 ) % 32.20/8.75 & % 32.20/8.75 ( X1_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X1_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 | X2_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'a23$' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'a23$'(X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'cblinfun_apply$n' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'B2_ell2',X0_'A2_ell2_b2_ell2_cblinfun',X0_'A2_ell2'] : % 32.20/8.75 ( iProver_Flat_'cblinfun_apply$n'(X0_'B2_ell2',X0_'A2_ell2_b2_ell2_cblinfun',X0_'A2_ell2') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'B2_ell2'=iProver_Domain_'B2_ell2'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'adj$l' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'A3_ell2_a3_ell2_cblinfun',X1_'A3_ell2_a3_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'adj$l'(X0_'A3_ell2_a3_ell2_cblinfun',X1_'A3_ell2_a3_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 & X1_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_2 ) % 32.20/8.75 & % 32.20/8.75 ( X1_'A3_ell2_a3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'heterogenous_cblinfun_id$l' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'A2_ell2_a1_a2_prod_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'heterogenous_cblinfun_id$l'(X0_'A2_ell2_a1_a2_prod_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A2_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_ell2_a1_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'sandwich$' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.75 ( iProver_Flat_'sandwich$'(X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_cblinfun',X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'psi$' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'B1_ell2'] : % 32.20/8.75 ( iProver_Flat_'psi$'(X0_'B1_ell2') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'B1_ell2'=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'heterogenous_cblinfun_id$j' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'A2_ell2_a2_a3_prod_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'heterogenous_cblinfun_id$j'(X0_'A2_ell2_a2_a3_prod_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A2_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'tensor_op$t' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'A2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun',X0_'Unit_ell2_unit_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'tensor_op$t'(X0_'A2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun',X0_'Unit_ell2_unit_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'tensor_op$af' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'B1_b2_prod_ell2_a1_a2_prod_ell2_cblinfun',X0_'B1_ell2_a1_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'tensor_op$af'(X0_'B1_b2_prod_ell2_a1_a2_prod_ell2_cblinfun',X0_'B1_ell2_a1_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'B1_b2_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_a1_a2_prod_ell2_cblinfun'_2 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'tensor_op$' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.75 ( iProver_Flat_'tensor_op$'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_ell2_b1_ell2_cblinfun',X0_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 | X0_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun'!=iProver_Domain_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 & X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun'!=iProver_Domain_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 & X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 & X0_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'cblinfun_compose$bu' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.75 ( iProver_Flat_'cblinfun_compose$bu'(X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun',X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun',X0_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'!=iProver_Domain_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 & X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'cblinfun_compose$db' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.75 ( iProver_Flat_'cblinfun_compose$db'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'cblinfun_apply$j' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun',X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'] : % 32.20/8.75 ( iProver_Flat_'cblinfun_apply$j'(X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun',X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun') <=> % 32.20/8.75 ( % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun'_1 ) % 32.20/8.75 & % 32.20/8.75 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 | % 32.20/8.75 ( % 32.20/8.75 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun'_1 & X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.75 ) % 32.20/8.75 % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ) % 32.20/8.75 ). % 32.20/8.75 % 32.20/8.75 %------ Positive definition of iProver_Flat_'fun_app$m' % 32.20/8.75 fof(lit_def,axiom, % 32.20/8.75 (! [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'] : % 32.20/8.76 ( iProver_Flat_'fun_app$m'(X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun',X0_'A1_ell2_b1_ell2_cblinfun_a2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun',X0_'A1_ell2_b1_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_1 & X0_'A1_ell2_b1_ell2_cblinfun_a2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun'='tensor_op$w' & X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( 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 ) % 32.20/8.76 & % 32.20/8.76 ( 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$w' | X0_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'adj$bc' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun',X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'adj$bc'(X0_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun',X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'!=iProver_Domain_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun'_2 & X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'one$' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'Unit_ell2_unit_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'one$'(X0_'Unit_ell2_unit_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'tensor_op$ag' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun',X0_'B3_ell2_a3_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'tensor_op$ag'(X0_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun',X0_'B3_ell2_a3_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'id_cblinfun$o' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'id_cblinfun$o'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'assoc_ell20$' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_fun'] : % 32.20/8.76 ( iProver_Flat_'assoc_ell20$'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_fun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_fun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_fun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'cblinfun_compose$ai' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [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'] : % 32.20/8.76 ( iProver_Flat_'cblinfun_compose$ai'(X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'heterogenous_cblinfun_id$' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'heterogenous_cblinfun_id$'(X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'cblinfun_apply$am' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'B3_ell2',X0_'B1_ell2_b3_ell2_cblinfun',X0_'B1_ell2'] : % 32.20/8.76 ( iProver_Flat_'cblinfun_apply$am'(X0_'B3_ell2',X0_'B1_ell2_b3_ell2_cblinfun',X0_'B1_ell2') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'B3_ell2'=iProver_Domain_'B3_ell2'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'B3_ell2'=iProver_Domain_'B3_ell2'_1 & X0_'B1_ell2'=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'adj$be' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A2_ell2_complex_cblinfun',X0_'Complex_a2_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'adj$be'(X0_'A2_ell2_complex_cblinfun',X0_'Complex_a2_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A2_ell2_complex_cblinfun'=iProver_Domain_'A2_ell2_complex_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'zero$as' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'zero$as'(X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'tensor_op$am' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A1_a3_prod_ell2_a1_b3_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'tensor_op$am'(X0_'A1_a3_prod_ell2_a1_b3_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A1_a3_prod_ell2_a1_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a3_prod_ell2_a1_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'cblinfun_compose$aj' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [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'] : % 32.20/8.76 ( iProver_Flat_'cblinfun_compose$aj'(X0_'Unit_b2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'Unit_b2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'Unit_b2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'Unit_b2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 & X0_'Unit_b2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'cblinfun_compose$v' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [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'] : % 32.20/8.76 ( iProver_Flat_'cblinfun_compose$v'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'plus$x' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [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'] : % 32.20/8.76 ( iProver_Flat_'plus$x'(X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X1_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X2_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 & X2_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X1_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.76 & % 32.20/8.76 ( X2_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 & X1_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 & X2_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'plus$y' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [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'] : % 32.20/8.76 ( iProver_Flat_'plus$y'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X2_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'tensor_op$ad' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [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'] : % 32.20/8.76 ( 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') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( 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_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun'_2 & X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( 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 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( 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 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun'_1 | X0_'A3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'A3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( 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_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'A3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( 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_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun'_1 & X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'cblinfun_inv$o' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A3_ell2_complex_cblinfun',X0_'Complex_a3_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'cblinfun_inv$o'(X0_'A3_ell2_complex_cblinfun',X0_'Complex_a3_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A3_ell2_complex_cblinfun'=iProver_Domain_'A3_ell2_complex_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'zero$f' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A1_ell2_b1_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'zero$f'(X0_'A1_ell2_b1_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'id_cblinfun$s' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'Complex_complex_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'id_cblinfun$s'(X0_'Complex_complex_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'Complex_complex_cblinfun'=iProver_Domain_'Complex_complex_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'adj$ai' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [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'] : % 32.20/8.76 ( iProver_Flat_'adj$ai'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X1_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X1_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 & X1_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'fun_app$z' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A2_ell2',X0_'A2_ell2_a2_ell2_fun',X1_'A2_ell2'] : % 32.20/8.76 ( iProver_Flat_'fun_app$z'(X0_'A2_ell2',X0_'A2_ell2_a2_ell2_fun',X1_'A2_ell2') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A2_ell2'=iProver_Domain_'A2_ell2'_1 & X1_'A2_ell2'=iProver_Domain_'A2_ell2'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'A2_ell2'=iProver_Domain_'A2_ell2'_2 ) % 32.20/8.76 & % 32.20/8.76 ( X1_'A2_ell2'!=iProver_Domain_'A2_ell2'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'tensor_ell2$d' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A3_a3_prod_ell2',X0_'A3_ell2',X1_'A3_ell2'] : % 32.20/8.76 ( iProver_Flat_'tensor_ell2$d'(X0_'A3_a3_prod_ell2',X0_'A3_ell2',X1_'A3_ell2') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A3_a3_prod_ell2'=iProver_Domain_'A3_a3_prod_ell2'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'zero$al' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'zero$al'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'cblinfun_inv$l' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'Complex_a1_ell2_cblinfun',X0_'A1_ell2_complex_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'cblinfun_inv$l'(X0_'Complex_a1_ell2_cblinfun',X0_'A1_ell2_complex_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'Complex_a1_ell2_cblinfun'=iProver_Domain_'Complex_a1_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'tensor_op$bb' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun',X0_'A1_ell2_b1_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'tensor_op$bb'(X0_'A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun',X0_'A1_ell2_b1_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun'=iProver_Domain_'A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'tensor_op$az' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A3_a3_prod_ell2_b3_b3_prod_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun',X1_'A3_ell2_b3_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'tensor_op$az'(X0_'A3_a3_prod_ell2_b3_b3_prod_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun',X1_'A3_ell2_b3_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A3_a3_prod_ell2_b3_b3_prod_ell2_cblinfun'=iProver_Domain_'A3_a3_prod_ell2_b3_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'A3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 | X1_'A3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'A3_a3_prod_ell2_b3_b3_prod_ell2_cblinfun'=iProver_Domain_'A3_a3_prod_ell2_b3_b3_prod_ell2_cblinfun'_1 & X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 & X1_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'tensor_ell2$l' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'B1_b1_prod_ell2',X0_'B1_ell2',X1_'B1_ell2'] : % 32.20/8.76 ( iProver_Flat_'tensor_ell2$l'(X0_'B1_b1_prod_ell2',X0_'B1_ell2',X1_'B1_ell2') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_b1_prod_ell2'=iProver_Domain_'B1_b1_prod_ell2'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 | X1_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X1_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_b1_prod_ell2'=iProver_Domain_'B1_b1_prod_ell2'_1 & X0_'B1_ell2'=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X1_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_b1_prod_ell2'=iProver_Domain_'B1_b1_prod_ell2'_1 & X0_'B1_ell2'=iProver_Domain_'B1_ell2'_1 & X1_'B1_ell2'=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_b1_prod_ell2'=iProver_Domain_'B1_b1_prod_ell2'_1 & X1_'B1_ell2'=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'cblinfun_compose$z' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [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'] : % 32.20/8.76 ( iProver_Flat_'cblinfun_compose$z'(X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun',X0_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun',X1_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'psi$a' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A1_ell2'] : % 32.20/8.76 ( iProver_Flat_'psi$a'(X0_'A1_ell2') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A1_ell2'=iProver_Domain_'A1_ell2'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'zero$af' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'zero$af'(X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'cblinfun_compose$en' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'Unit_ell2_b1_ell2_cblinfun',X0_'A3_ell2_b1_ell2_cblinfun',X0_'Unit_ell2_a3_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'cblinfun_compose$en'(X0_'Unit_ell2_b1_ell2_cblinfun',X0_'A3_ell2_b1_ell2_cblinfun',X0_'Unit_ell2_a3_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 & X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 & X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'fun_app$' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [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'] : % 32.20/8.76 ( 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') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( 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 ) % 32.20/8.76 & % 32.20/8.76 ( 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 ) % 32.20/8.76 & % 32.20/8.76 ( 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 ) % 32.20/8.76 & % 32.20/8.76 ( 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 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( 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 ) % 32.20/8.76 & % 32.20/8.76 ( 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 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( 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 & 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 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( 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'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( 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 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'zero$ai' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'zero$ai'(X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'cblinfun_apply$as' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A3_ell2',X0_'A1_ell2_a3_ell2_cblinfun',X0_'A1_ell2'] : % 32.20/8.76 ( iProver_Flat_'cblinfun_apply$as'(X0_'A3_ell2',X0_'A1_ell2_a3_ell2_cblinfun',X0_'A1_ell2') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A3_ell2'=iProver_Domain_'A3_ell2'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'cblinfun_compose$cd' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [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'] : % 32.20/8.76 ( iProver_Flat_'cblinfun_compose$cd'(X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'B2_ell2_b1_b2_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_b2_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'tensor_ell2$h' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'B3_a3_prod_ell2',X0_'B3_ell2',X0_'A3_ell2'] : % 32.20/8.76 ( iProver_Flat_'tensor_ell2$h'(X0_'B3_a3_prod_ell2',X0_'B3_ell2',X0_'A3_ell2') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'B3_a3_prod_ell2'=iProver_Domain_'B3_a3_prod_ell2'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'cblinfun_apply$aj' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'B3_ell2',X0_'A3_ell2_b3_ell2_cblinfun',X0_'A3_ell2'] : % 32.20/8.76 ( iProver_Flat_'cblinfun_apply$aj'(X0_'B3_ell2',X0_'A3_ell2_b3_ell2_cblinfun',X0_'A3_ell2') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'B3_ell2'=iProver_Domain_'B3_ell2'_1 & X0_'A3_ell2'=iProver_Domain_'A3_ell2'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'B3_ell2'=iProver_Domain_'B3_ell2'_2 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'A3_ell2'!=iProver_Domain_'A3_ell2'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'fun_app$n' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [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'] : % 32.20/8.76 ( 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') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( 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 ) % 32.20/8.76 & % 32.20/8.76 ( 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 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( 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 ) % 32.20/8.76 & % 32.20/8.76 ( 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 ) % 32.20/8.76 & % 32.20/8.76 ( 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 ) % 32.20/8.76 & % 32.20/8.76 ( 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 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( 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 ) % 32.20/8.76 & % 32.20/8.76 ( 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 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( 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 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'zero$w' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A2_ell2_b2_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'zero$w'(X0_'A2_ell2_b2_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A2_ell2_b2_ell2_cblinfun'=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'swap_ell2$c' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'swap_ell2$c'(X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'id$' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_fun'] : % 32.20/8.76 ( iProver_Flat_'id$'(X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_fun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_fun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_fun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'cblinfun_compose$an' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [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'] : % 32.20/8.76 ( iProver_Flat_'cblinfun_compose$an'(X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'plus$a' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A1_ell2',X1_'A1_ell2',X2_'A1_ell2'] : % 32.20/8.76 ( iProver_Flat_'plus$a'(X0_'A1_ell2',X1_'A1_ell2',X2_'A1_ell2') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A1_ell2'=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X1_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X1_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 | X2_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X1_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 | X2_'A1_ell2'!=iProver_Domain_'A1_ell2'_2 ) % 32.20/8.76 & % 32.20/8.76 ( X1_'A1_ell2'!=iProver_Domain_'A1_ell2'_2 | X2_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X2_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'A1_ell2'=iProver_Domain_'A1_ell2'_1 & X1_'A1_ell2'=iProver_Domain_'A1_ell2'_1 & X2_'A1_ell2'=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'A1_ell2'=iProver_Domain_'A1_ell2'_2 & X1_'A1_ell2'=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X2_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X2_'A1_ell2'!=iProver_Domain_'A1_ell2'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'A1_ell2'=iProver_Domain_'A1_ell2'_2 & X1_'A1_ell2'=iProver_Domain_'A1_ell2'_1 & X2_'A1_ell2'=iProver_Domain_'A1_ell2'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'A1_ell2'=iProver_Domain_'A1_ell2'_2 & X1_'A1_ell2'=iProver_Domain_'A1_ell2'_2 & X2_'A1_ell2'=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'A1_ell2'=iProver_Domain_'A1_ell2'_2 & X2_'A1_ell2'=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X1_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X1_'A1_ell2'!=iProver_Domain_'A1_ell2'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'zero$aq' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'zero$aq'(X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'sandwich$p' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun',X0_'B2_ell2_b2_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'sandwich$p'(X0_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun',X0_'B2_ell2_b2_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun'_1 & X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'cblinfun_compose$ec' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A3_ell2_b3_ell2_cblinfun',X1_'A3_ell2_b3_ell2_cblinfun',X0_'A3_ell2_a3_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'cblinfun_compose$ec'(X0_'A3_ell2_b3_ell2_cblinfun',X1_'A3_ell2_b3_ell2_cblinfun',X0_'A3_ell2_a3_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X1_'A3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 & X1_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'cblinfun_compose$dj' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [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'] : % 32.20/8.76 ( iProver_Flat_'cblinfun_compose$dj'(X0_'B1_b2_prod_b3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_b2_prod_b3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_b2_prod_b3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_b2_prod_b3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 & X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X0_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'vector_to_cblinfun$a' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'Unit_ell2_b3_ell2_cblinfun',X0_'B3_ell2'] : % 32.20/8.76 ( iProver_Flat_'vector_to_cblinfun$a'(X0_'Unit_ell2_b3_ell2_cblinfun',X0_'B3_ell2') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'B3_ell2'!=iProver_Domain_'B3_ell2'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'B3_ell2'!=iProver_Domain_'B3_ell2'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 & X0_'B3_ell2'=iProver_Domain_'B3_ell2'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 & X0_'B3_ell2'=iProver_Domain_'B3_ell2'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'assoc_ell20$a' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'] : % 32.20/8.76 ( iProver_Flat_'assoc_ell20$a'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'cblinfun_apply$i' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_fun',X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'cblinfun_apply$i'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_fun',X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_fun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_fun'_1 & X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_fun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_fun'_2 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'tensor_ell2$b' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A2_a3_prod_ell2',X0_'A2_ell2',X0_'A3_ell2'] : % 32.20/8.76 ( iProver_Flat_'tensor_ell2$b'(X0_'A2_a3_prod_ell2',X0_'A2_ell2',X0_'A3_ell2') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A2_a3_prod_ell2'=iProver_Domain_'A2_a3_prod_ell2'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'A3_ell2'!=iProver_Domain_'A3_ell2'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'A2_a3_prod_ell2'=iProver_Domain_'A2_a3_prod_ell2'_1 & X0_'A3_ell2'=iProver_Domain_'A3_ell2'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'fun_app$ab' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [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'] : % 32.20/8.76 ( iProver_Flat_'fun_app$ab'(X0_'B1_b2_b3_prod_prod_ell2',X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_fun',X0_'B1_b2_prod_b3_prod_ell2') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_b2_b3_prod_prod_ell2'=iProver_Domain_'B1_b2_b3_prod_prod_ell2'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'!=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_b2_b3_prod_prod_ell2'=iProver_Domain_'B1_b2_b3_prod_prod_ell2'_1 & X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'adj$af' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'B1_ell2_complex_cblinfun',X0_'Complex_b1_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'adj$af'(X0_'B1_ell2_complex_cblinfun',X0_'Complex_b1_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_ell2_complex_cblinfun'=iProver_Domain_'B1_ell2_complex_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'Complex_b1_ell2_cblinfun'!=iProver_Domain_'Complex_b1_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'Complex_b1_ell2_cblinfun'!=iProver_Domain_'Complex_b1_ell2_cblinfun'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_ell2_complex_cblinfun'=iProver_Domain_'B1_ell2_complex_cblinfun'_1 & X0_'Complex_b1_ell2_cblinfun'=iProver_Domain_'Complex_b1_ell2_cblinfun'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_ell2_complex_cblinfun'=iProver_Domain_'B1_ell2_complex_cblinfun'_2 & X0_'Complex_b1_ell2_cblinfun'=iProver_Domain_'Complex_b1_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'id$b' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_fun'] : % 32.20/8.76 ( iProver_Flat_'id$b'(X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_fun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_fun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'id$f' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_fun'] : % 32.20/8.76 ( iProver_Flat_'id$f'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_fun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_fun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_fun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'cblinfun_compose$ad' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [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'] : % 32.20/8.76 ( iProver_Flat_'cblinfun_compose$ad'(X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X1_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X1_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 & X1_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 & X1_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'cblinfun_apply$ak' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'B1_ell2',X0_'B3_ell2_b1_ell2_cblinfun',X0_'B3_ell2'] : % 32.20/8.76 ( iProver_Flat_'cblinfun_apply$ak'(X0_'B1_ell2',X0_'B3_ell2_b1_ell2_cblinfun',X0_'B3_ell2') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_ell2'=iProver_Domain_'B1_ell2'_2 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'B3_ell2'!=iProver_Domain_'B3_ell2'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_ell2'=iProver_Domain_'B1_ell2'_2 & X0_'B3_ell2'=iProver_Domain_'B3_ell2'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'adj$ag' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [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'] : % 32.20/8.76 ( iProver_Flat_'adj$ag'(X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X1_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'zero$ad' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'Unit_ell2_unit_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'zero$ad'(X0_'Unit_ell2_unit_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'butterfly$aa' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2',X1_'A2_a3_prod_ell2'] : % 32.20/8.76 ( iProver_Flat_'butterfly$aa'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2',X1_'A2_a3_prod_ell2') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'A2_a3_prod_ell2'!=iProver_Domain_'A2_a3_prod_ell2'_1 | X1_'A2_a3_prod_ell2'!=iProver_Domain_'A2_a3_prod_ell2'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 & X0_'A2_a3_prod_ell2'=iProver_Domain_'A2_a3_prod_ell2'_1 & X1_'A2_a3_prod_ell2'=iProver_Domain_'A2_a3_prod_ell2'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'cblinfun_compose$bf' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'B1_ell2_b1_ell2_cblinfun',X0_'Complex_b1_ell2_cblinfun',X0_'B1_ell2_complex_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'cblinfun_compose$bf'(X0_'B1_ell2_b1_ell2_cblinfun',X0_'Complex_b1_ell2_cblinfun',X0_'B1_ell2_complex_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'B1_ell2_complex_cblinfun'!=iProver_Domain_'B1_ell2_complex_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'B1_ell2_complex_cblinfun'!=iProver_Domain_'B1_ell2_complex_cblinfun'_1 | X0_'Complex_b1_ell2_cblinfun'!=iProver_Domain_'Complex_b1_ell2_cblinfun'_2 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'Complex_b1_ell2_cblinfun'!=iProver_Domain_'Complex_b1_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'Complex_b1_ell2_cblinfun'!=iProver_Domain_'Complex_b1_ell2_cblinfun'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 & X0_'B1_ell2_complex_cblinfun'=iProver_Domain_'B1_ell2_complex_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'Complex_b1_ell2_cblinfun'!=iProver_Domain_'Complex_b1_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'Complex_b1_ell2_cblinfun'!=iProver_Domain_'Complex_b1_ell2_cblinfun'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 & X0_'Complex_b1_ell2_cblinfun'=iProver_Domain_'Complex_b1_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 & X0_'Complex_b1_ell2_cblinfun'=iProver_Domain_'Complex_b1_ell2_cblinfun'_1 & X0_'B1_ell2_complex_cblinfun'=iProver_Domain_'B1_ell2_complex_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 & X0_'Complex_b1_ell2_cblinfun'=iProver_Domain_'Complex_b1_ell2_cblinfun'_2 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'B1_ell2_complex_cblinfun'!=iProver_Domain_'B1_ell2_complex_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 & X0_'Complex_b1_ell2_cblinfun'=iProver_Domain_'Complex_b1_ell2_cblinfun'_2 & X0_'B1_ell2_complex_cblinfun'=iProver_Domain_'B1_ell2_complex_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'tensor_op$v' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [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'] : % 32.20/8.76 ( iProver_Flat_'tensor_op$v'(X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'B1_ell2_a1_ell2_cblinfun',X0_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X0_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'zero$u' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'B3_b1_prod_ell2'] : % 32.20/8.76 ( iProver_Flat_'zero$u'(X0_'B3_b1_prod_ell2') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'B3_b1_prod_ell2'=iProver_Domain_'B3_b1_prod_ell2'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'cblinfun_apply$q' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A3_ell2',X0_'Unit_ell2_a3_ell2_cblinfun',X0_'Unit_ell2'] : % 32.20/8.76 ( iProver_Flat_'cblinfun_apply$q'(X0_'A3_ell2',X0_'Unit_ell2_a3_ell2_cblinfun',X0_'Unit_ell2') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A3_ell2'=iProver_Domain_'A3_ell2'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'tensor_op$ai' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun',X0_'A2_ell2_b2_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'tensor_op$ai'(X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun',X0_'A2_ell2_b2_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'A3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 & X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'adj$au' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'Complex_a3_ell2_cblinfun',X0_'A3_ell2_complex_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'adj$au'(X0_'Complex_a3_ell2_cblinfun',X0_'A3_ell2_complex_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'Complex_a3_ell2_cblinfun'=iProver_Domain_'Complex_a3_ell2_cblinfun'_1 & X0_'A3_ell2_complex_cblinfun'=iProver_Domain_'A3_ell2_complex_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'Complex_a3_ell2_cblinfun'=iProver_Domain_'Complex_a3_ell2_cblinfun'_2 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'A3_ell2_complex_cblinfun'!=iProver_Domain_'A3_ell2_complex_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'tensor_op$be' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun',X0_'B1_ell2_b1_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'tensor_op$be'(X0_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun',X0_'B1_ell2_b1_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'A3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'_1 & X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'A3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'_2 & X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 & X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'_2 & X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'adj$h' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'B2_ell2_a2_ell2_cblinfun',X0_'A2_ell2_b2_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'adj$h'(X0_'B2_ell2_a2_ell2_cblinfun',X0_'A2_ell2_b2_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'B2_ell2_a2_ell2_cblinfun'=iProver_Domain_'B2_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'tensor_ell2$u' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A1_b1_prod_ell2',X0_'A1_ell2',X0_'B1_ell2'] : % 32.20/8.76 ( iProver_Flat_'tensor_ell2$u'(X0_'A1_b1_prod_ell2',X0_'A1_ell2',X0_'B1_ell2') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A1_b1_prod_ell2'=iProver_Domain_'A1_b1_prod_ell2'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'cblinfun_compose$az' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [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'] : % 32.20/8.76 ( iProver_Flat_'cblinfun_compose$az'(X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 & X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'sandwich$e' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [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'] : % 32.20/8.76 ( iProver_Flat_'sandwich$e'(X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_cblinfun'_1 & X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'cblinfun_compose$dr' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [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'] : % 32.20/8.76 ( iProver_Flat_'cblinfun_compose$dr'(X0_'A1_a1_prod_a1_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_b1_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_a1_prod_ell2_a1_a1_prod_b1_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A1_a1_prod_a1_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a1_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'adj$bh' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'B2_ell2_b1_b2_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_b2_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'adj$bh'(X0_'B2_ell2_b1_b2_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_b2_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'B2_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'B2_ell2_b1_b2_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'tensor_op$d' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [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'] : % 32.20/8.76 ( iProver_Flat_'tensor_op$d'(X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'Unit_ell2_b1_ell2_cblinfun',X0_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 & X0_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun'!=iProver_Domain_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun'!=iProver_Domain_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 | X0_'Unit_ell2_b1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 & X0_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'Unit_ell2_b1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'adj$b' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A2_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'adj$b'(X0_'A2_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A2_ell2_b2_ell2_cblinfun'=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'adj$i' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun',X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'adj$i'(X0_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun',X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'cblinfun_compose$b' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [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'] : % 32.20/8.76 ( 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') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( 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 ) % 32.20/8.76 & % 32.20/8.76 ( 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 ) % 32.20/8.76 & % 32.20/8.76 ( 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 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( 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 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( 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'_2 ) % 32.20/8.76 & % 32.20/8.76 ( 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 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( 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'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'plus$aa' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [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'] : % 32.20/8.76 ( 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') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( 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 & X2_'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 ) % 32.20/8.76 & % 32.20/8.76 ( 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 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( 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 ) % 32.20/8.76 & % 32.20/8.76 ( 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 | X2_'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 ) % 32.20/8.76 & % 32.20/8.76 ( X2_'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 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( 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 & X2_'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 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'heterogenous_cblinfun_id$g' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'heterogenous_cblinfun_id$g'(X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'cblinfun_compose$p' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [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'] : % 32.20/8.76 ( iProver_Flat_'cblinfun_compose$p'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'adj$aq' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [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'] : % 32.20/8.76 ( iProver_Flat_'adj$aq'(X0_'Unit_b2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'Unit_b2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'tensor_op$ah' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'A1_ell2_b1_ell2_cblinfun',X0_'A2_ell2_b2_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'tensor_op$ah'(X0_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'A1_ell2_b1_ell2_cblinfun',X0_'A2_ell2_b2_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun'_1 & X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'adj$aw' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'Complex_a1_ell2_cblinfun',X0_'A1_ell2_complex_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'adj$aw'(X0_'Complex_a1_ell2_cblinfun',X0_'A1_ell2_complex_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'Complex_a1_ell2_cblinfun'=iProver_Domain_'Complex_a1_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'A1_ell2_complex_cblinfun'!=iProver_Domain_'A1_ell2_complex_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'A1_ell2_complex_cblinfun'!=iProver_Domain_'A1_ell2_complex_cblinfun'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'Complex_a1_ell2_cblinfun'=iProver_Domain_'Complex_a1_ell2_cblinfun'_1 & X0_'A1_ell2_complex_cblinfun'=iProver_Domain_'A1_ell2_complex_cblinfun'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'Complex_a1_ell2_cblinfun'=iProver_Domain_'Complex_a1_ell2_cblinfun'_2 & X0_'A1_ell2_complex_cblinfun'=iProver_Domain_'A1_ell2_complex_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'adj$ae' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'B3_ell2_a3_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'adj$ae'(X0_'B3_ell2_a3_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'B3_ell2_a3_ell2_cblinfun'=iProver_Domain_'B3_ell2_a3_ell2_cblinfun'_1 & X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'B3_ell2_a3_ell2_cblinfun'=iProver_Domain_'B3_ell2_a3_ell2_cblinfun'_2 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'A3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'id$d' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_fun'] : % 32.20/8.76 ( iProver_Flat_'id$d'(X0_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_fun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_fun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_fun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'adj$p' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [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'] : % 32.20/8.76 ( iProver_Flat_'adj$p'(X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'butterfly$z' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2',X0_'A2_unit_prod_ell2'] : % 32.20/8.76 ( iProver_Flat_'butterfly$z'(X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2',X0_'A2_unit_prod_ell2') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'A2_unit_prod_ell2'!=iProver_Domain_'A2_unit_prod_ell2'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 & X0_'A2_a3_prod_ell2'=iProver_Domain_'A2_a3_prod_ell2'_1 & X0_'A2_unit_prod_ell2'=iProver_Domain_'A2_unit_prod_ell2'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 & X0_'A2_unit_prod_ell2'=iProver_Domain_'A2_unit_prod_ell2'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'A2_a3_prod_ell2'!=iProver_Domain_'A2_a3_prod_ell2'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'cblinfun_compose$u' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A3_ell2_a3_ell2_cblinfun',X1_'A3_ell2_a3_ell2_cblinfun',X2_'A3_ell2_a3_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'cblinfun_compose$u'(X0_'A3_ell2_a3_ell2_cblinfun',X1_'A3_ell2_a3_ell2_cblinfun',X2_'A3_ell2_a3_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_2 ) % 32.20/8.76 & % 32.20/8.76 ( X1_'A3_ell2_a3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_2 & X1_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'cblinfun_compose$ac' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [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'] : % 32.20/8.76 ( iProver_Flat_'cblinfun_compose$ac'(X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.76 & % 32.20/8.76 ( X1_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 & X1_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'tensor_ell2$i' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'B3_a1_prod_ell2',X0_'B3_ell2',X0_'A1_ell2'] : % 32.20/8.76 ( iProver_Flat_'tensor_ell2$i'(X0_'B3_a1_prod_ell2',X0_'B3_ell2',X0_'A1_ell2') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'B3_a1_prod_ell2'=iProver_Domain_'B3_a1_prod_ell2'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'B3_a1_prod_ell2'=iProver_Domain_'B3_a1_prod_ell2'_1 & X0_'A1_ell2'=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'cblinfun_compose$do' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [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'] : % 32.20/8.76 ( iProver_Flat_'cblinfun_compose$do'(X0_'A1_a1_a2_prod_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_a2_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun',X0_'A1_a1_a2_prod_prod_ell2_a1_a1_prod_a2_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A1_a1_a2_prod_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a2_prod_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'A1_a1_a2_prod_prod_ell2_a1_a1_prod_a2_prod_ell2_cblinfun'!='assoc_ell2$h' ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( 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$h' ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'adj$bd' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun',X0_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'adj$bd'(X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun',X0_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'plus$q' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A2_ell2_b2_ell2_cblinfun',X1_'A2_ell2_b2_ell2_cblinfun',X2_'A2_ell2_b2_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'plus$q'(X0_'A2_ell2_b2_ell2_cblinfun',X1_'A2_ell2_b2_ell2_cblinfun',X2_'A2_ell2_b2_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A2_ell2_b2_ell2_cblinfun'=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_1 & X2_'A2_ell2_b2_ell2_cblinfun'=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X1_'A2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'A2_ell2_b2_ell2_cblinfun'=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_2 ) % 32.20/8.76 & % 32.20/8.76 ( X2_'A2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'A2_ell2_b2_ell2_cblinfun'=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_2 & X1_'A2_ell2_b2_ell2_cblinfun'=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_1 & X2_'A2_ell2_b2_ell2_cblinfun'=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'id_cblinfun$m' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'B1_b2_prod_b2_prod_ell2_b1_b2_prod_b2_prod_ell2_cblinfun'] : % 32.20/8.76 ( iProver_Flat_'id_cblinfun$m'(X0_'B1_b2_prod_b2_prod_ell2_b1_b2_prod_b2_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'B1_b2_prod_b2_prod_ell2_b1_b2_prod_b2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b2_prod_ell2_b1_b2_prod_b2_prod_ell2_cblinfun'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'cblinfun_compose$cv' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [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'] : % 32.20/8.76 ( iProver_Flat_'cblinfun_compose$cv'(X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X1_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ) % 32.20/8.76 ). % 32.20/8.76 % 32.20/8.76 %------ Positive definition of iProver_Flat_'butterfly$ae' % 32.20/8.76 fof(lit_def,axiom, % 32.20/8.76 (! [X0_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun',X0_'B3_a3_prod_ell2',X0_'A3_a3_prod_ell2'] : % 32.20/8.76 ( iProver_Flat_'butterfly$ae'(X0_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun',X0_'B3_a3_prod_ell2',X0_'A3_a3_prod_ell2') <=> % 32.20/8.76 ( % 32.20/8.76 ( % 32.20/8.76 ( X0_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun'=iProver_Domain_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.76 & % 32.20/8.76 ( X0_'B3_a3_prod_ell2'!=iProver_Domain_'B3_a3_prod_ell2'_1 ) % 32.20/8.76 ) % 32.20/8.76 % 32.20/8.76 | % 32.20/8.76 ( % 32.20/8.76 ( X0_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun'=iProver_Domain_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun'_2 & X0_'B3_a3_prod_ell2'=iProver_Domain_'B3_a3_prod_ell2'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'adj$am' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [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'] : % 32.20/8.77 ( iProver_Flat_'adj$am'(X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'cblinfun_compose$ae' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [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'] : % 32.20/8.77 ( iProver_Flat_'cblinfun_compose$ae'(X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X1_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.77 & % 32.20/8.77 ( X1_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 & X1_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'zero$a' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'A1_ell2'] : % 32.20/8.77 ( iProver_Flat_'zero$a'(X0_'A1_ell2') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_ell2'=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'b12_n$' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'b12_n$'(X0_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'cblinfun_compose$l' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'Unit_ell2_unit_ell2_cblinfun',X0_'A3_ell2_unit_ell2_cblinfun',X0_'Unit_ell2_a3_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'cblinfun_compose$l'(X0_'Unit_ell2_unit_ell2_cblinfun',X0_'A3_ell2_unit_ell2_cblinfun',X0_'Unit_ell2_a3_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'tensor_op$bf' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun',X0_'B1_ell2_b1_ell2_cblinfun',X1_'B1_ell2_b1_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'tensor_op$bf'(X0_'B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun',X0_'B1_ell2_b1_ell2_cblinfun',X1_'B1_ell2_b1_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun'=iProver_Domain_'B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun'_1 & X1_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun'=iProver_Domain_'B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun'_2 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 | X1_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X1_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun'=iProver_Domain_'B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun'_2 & X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 & X1_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'plus$v' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [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'] : % 32.20/8.77 ( 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') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( 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 ) % 32.20/8.77 & % 32.20/8.77 ( 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 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( 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 & 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 ) % 32.20/8.77 & % 32.20/8.77 ( 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 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( 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 ) % 32.20/8.77 & % 32.20/8.77 ( 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 ) % 32.20/8.77 & % 32.20/8.77 ( 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 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( 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 & 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 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'tensor_ell2$m' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'A1_a2_a3_prod_prod_ell2',X0_'A1_ell2',X0_'A2_a3_prod_ell2'] : % 32.20/8.77 ( iProver_Flat_'tensor_ell2$m'(X0_'A1_a2_a3_prod_prod_ell2',X0_'A1_ell2',X0_'A2_a3_prod_ell2') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 & X0_'A2_a3_prod_ell2'=iProver_Domain_'A2_a3_prod_ell2'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 & X0_'A1_ell2'=iProver_Domain_'A1_ell2'_1 & X0_'A2_a3_prod_ell2'=iProver_Domain_'A2_a3_prod_ell2'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_2 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'A2_a3_prod_ell2'!=iProver_Domain_'A2_a3_prod_ell2'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'A2_a3_prod_ell2'!=iProver_Domain_'A2_a3_prod_ell2'_1 | X0_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_2 & X0_'A1_ell2'=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'A2_a3_prod_ell2'!=iProver_Domain_'A2_a3_prod_ell2'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'cblinfun_inv$a' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'B2_ell2_a2_ell2_cblinfun',X0_'A2_ell2_b2_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'cblinfun_inv$a'(X0_'B2_ell2_a2_ell2_cblinfun',X0_'A2_ell2_b2_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'B2_ell2_a2_ell2_cblinfun'=iProver_Domain_'B2_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'plus$u' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'Unit_ell2_a1_ell2_cblinfun',X1_'Unit_ell2_a1_ell2_cblinfun',X2_'Unit_ell2_a1_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'plus$u'(X0_'Unit_ell2_a1_ell2_cblinfun',X1_'Unit_ell2_a1_ell2_cblinfun',X2_'Unit_ell2_a1_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 & X1_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 & X2_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_2 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 & X1_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_2 & X2_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_2 ) % 32.20/8.77 & % 32.20/8.77 ( X1_'Unit_ell2_a1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 | X2_'Unit_ell2_a1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X1_'Unit_ell2_a1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 | X2_'Unit_ell2_a1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_2 ) % 32.20/8.77 & % 32.20/8.77 ( X1_'Unit_ell2_a1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_2 | X2_'Unit_ell2_a1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_2 & X1_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 & X2_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'cblinfun_compose$eq' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'Unit_ell2_b3_ell2_cblinfun',X0_'A1_ell2_b3_ell2_cblinfun',X0_'Unit_ell2_a1_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'cblinfun_compose$eq'(X0_'Unit_ell2_b3_ell2_cblinfun',X0_'A1_ell2_b3_ell2_cblinfun',X0_'Unit_ell2_a1_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'Unit_ell2_a1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'Unit_ell2_a1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_2 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 & X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 & X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_2 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'plus$i' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'Unit_ell2_unit_ell2_cblinfun',X1_'Unit_ell2_unit_ell2_cblinfun',X2_'Unit_ell2_unit_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'plus$i'(X0_'Unit_ell2_unit_ell2_cblinfun',X1_'Unit_ell2_unit_ell2_cblinfun',X2_'Unit_ell2_unit_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X1_'Unit_ell2_unit_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 & X1_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 & X2_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_2 & X1_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X2_'Unit_ell2_unit_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'adj$z' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'B1_ell2_b1_ell2_cblinfun',X1_'B1_ell2_b1_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'adj$z'(X0_'B1_ell2_b1_ell2_cblinfun',X1_'B1_ell2_b1_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 ) % 32.20/8.77 & % 32.20/8.77 ( X1_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 & X1_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'fun_app$i' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [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'] : % 32.20/8.77 ( iProver_Flat_'fun_app$i'(X0_'Unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun',X0_'A2_ell2_a2_ell2_cblinfun_unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun_fun',X0_'A2_ell2_a2_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'Unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'_1 & X0_'A2_ell2_a2_ell2_cblinfun_unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun_fun'='tensor_op$g' & X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( 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 ) % 32.20/8.77 & % 32.20/8.77 ( 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$g' ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'tensor_op$s' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'A2_a3_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'A2_ell2_b2_ell2_cblinfun',X0_'A3_ell2_unit_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'tensor_op$s'(X0_'A2_a3_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'A2_ell2_b2_ell2_cblinfun',X0_'A3_ell2_unit_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A2_a3_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'id_cblinfun$j' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'A2_b2_prod_ell2_a2_b2_prod_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'id_cblinfun$j'(X0_'A2_b2_prod_ell2_a2_b2_prod_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A2_b2_prod_ell2_a2_b2_prod_ell2_cblinfun'=iProver_Domain_'A2_b2_prod_ell2_a2_b2_prod_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'cblinfun_inv$n' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'B1_ell2_complex_cblinfun',X0_'Complex_b1_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'cblinfun_inv$n'(X0_'B1_ell2_complex_cblinfun',X0_'Complex_b1_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'B1_ell2_complex_cblinfun'=iProver_Domain_'B1_ell2_complex_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'assoc_ell2$' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'assoc_ell2$'(X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'tensor_op$ba' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'A3_b1_prod_ell2_b3_b1_prod_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun',X0_'B1_ell2_b1_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'tensor_op$ba'(X0_'A3_b1_prod_ell2_b3_b1_prod_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun',X0_'B1_ell2_b1_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A3_b1_prod_ell2_b3_b1_prod_ell2_cblinfun'=iProver_Domain_'A3_b1_prod_ell2_b3_b1_prod_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 | X0_'A3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A3_b1_prod_ell2_b3_b1_prod_ell2_cblinfun'=iProver_Domain_'A3_b1_prod_ell2_b3_b1_prod_ell2_cblinfun'_1 & X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 & X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'cblinfun_compose$ed' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'B1_ell2_b1_ell2_cblinfun',X1_'B1_ell2_b1_ell2_cblinfun',X2_'B1_ell2_b1_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'cblinfun_compose$ed'(X0_'B1_ell2_b1_ell2_cblinfun',X1_'B1_ell2_b1_ell2_cblinfun',X2_'B1_ell2_b1_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( 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 & X2_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 ) % 32.20/8.77 & % 32.20/8.77 ( X1_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X1_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 | X2_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X2_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( 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 ) % 32.20/8.77 & % 32.20/8.77 ( X2_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X2_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( 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 & X2_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 & X2_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X1_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'zero$b' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'B3_ell2'] : % 32.20/8.77 ( iProver_Flat_'zero$b'(X0_'B3_ell2') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'B3_ell2'=iProver_Domain_'B3_ell2'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'cblinfun_inv$g' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'A2_a3_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_a2_a3_prod_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'cblinfun_inv$g'(X0_'A2_a3_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_a2_a3_prod_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A2_a3_prod_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'adj$j' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'A3_ell2_unit_ell2_cblinfun',X0_'Unit_ell2_a3_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'adj$j'(X0_'A3_ell2_unit_ell2_cblinfun',X0_'Unit_ell2_a3_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A3_ell2_unit_ell2_cblinfun'=iProver_Domain_'A3_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_2 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A3_ell2_unit_ell2_cblinfun'=iProver_Domain_'A3_ell2_unit_ell2_cblinfun'_1 & X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_2 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'cblinfun_compose$cz' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [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'] : % 32.20/8.77 ( iProver_Flat_'cblinfun_compose$cz'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'fun_app$s' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [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'] : % 32.20/8.77 ( iProver_Flat_'fun_app$s'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun_fun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 | X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun_fun'!='cblinfun_compose$ao' ) % 32.20/8.77 & % 32.20/8.77 ( 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$ao' ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun'_1 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun_fun'='cblinfun_compose$ao' ) % 32.20/8.77 & % 32.20/8.77 ( 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 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( 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$ao' & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'tensor_op$h' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'B1_ell2_b1_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'tensor_op$h'(X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'B1_ell2_b1_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 | X0_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'_2 & X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'_2 & X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 & X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'_2 & X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'butterfly$ah' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun',X0_'B1_b1_prod_ell2',X1_'B1_b1_prod_ell2'] : % 32.20/8.77 ( iProver_Flat_'butterfly$ah'(X0_'B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun',X0_'B1_b1_prod_ell2',X1_'B1_b1_prod_ell2') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun'=iProver_Domain_'B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'B1_b1_prod_ell2'!=iProver_Domain_'B1_b1_prod_ell2'_1 | X1_'B1_b1_prod_ell2'!=iProver_Domain_'B1_b1_prod_ell2'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun'=iProver_Domain_'B1_b1_prod_ell2_b1_b1_prod_ell2_cblinfun'_2 & X0_'B1_b1_prod_ell2'=iProver_Domain_'B1_b1_prod_ell2'_1 & X1_'B1_b1_prod_ell2'=iProver_Domain_'B1_b1_prod_ell2'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'butterfly$af' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'A3_a1_prod_ell2_b3_a1_prod_ell2_cblinfun',X0_'B3_a1_prod_ell2',X0_'A3_a1_prod_ell2'] : % 32.20/8.77 ( iProver_Flat_'butterfly$af'(X0_'A3_a1_prod_ell2_b3_a1_prod_ell2_cblinfun',X0_'B3_a1_prod_ell2',X0_'A3_a1_prod_ell2') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A3_a1_prod_ell2_b3_a1_prod_ell2_cblinfun'=iProver_Domain_'A3_a1_prod_ell2_b3_a1_prod_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'B3_a1_prod_ell2'!=iProver_Domain_'B3_a1_prod_ell2'_1 | X0_'A3_a1_prod_ell2'!=iProver_Domain_'A3_a1_prod_ell2'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A3_a1_prod_ell2_b3_a1_prod_ell2_cblinfun'=iProver_Domain_'A3_a1_prod_ell2_b3_a1_prod_ell2_cblinfun'_1 & X0_'B3_a1_prod_ell2'=iProver_Domain_'B3_a1_prod_ell2'_1 & X0_'A3_a1_prod_ell2'=iProver_Domain_'A3_a1_prod_ell2'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'adj$r' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'adj$r'(X0_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'fun_app$ad' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [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'] : % 32.20/8.77 ( iProver_Flat_'fun_app$ad'(X0_'A1_a2_a3_prod_prod_ell2',X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_fun',X0_'Unit_a2_unit_prod_prod_ell2') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_fun'!=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_fun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 & X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_fun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_fun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'adj$ap' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [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'] : % 32.20/8.77 ( iProver_Flat_'adj$ap'(X0_'Unit_b2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'Unit_b2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'cblinfun_compose$de' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [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'] : % 32.20/8.77 ( 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') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( 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 ) % 32.20/8.77 & % 32.20/8.77 ( 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 ) % 32.20/8.77 & % 32.20/8.77 ( 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 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( 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 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( 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 ) % 32.20/8.77 & % 32.20/8.77 ( 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 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'plus$s' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'Unit_ell2_b1_ell2_cblinfun',X1_'Unit_ell2_b1_ell2_cblinfun',X2_'Unit_ell2_b1_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'plus$s'(X0_'Unit_ell2_b1_ell2_cblinfun',X1_'Unit_ell2_b1_ell2_cblinfun',X2_'Unit_ell2_b1_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 & X1_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X2_'Unit_ell2_b1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 & X2_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X1_'Unit_ell2_b1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_2 ) % 32.20/8.77 & % 32.20/8.77 ( X1_'Unit_ell2_b1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X2_'Unit_ell2_b1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_2 & X1_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 & X2_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'cblinfun_compose$ce' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'B2_ell2_b2_ell2_cblinfun',X0_'B1_b2_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_b1_b2_prod_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'cblinfun_compose$ce'(X0_'B2_ell2_b2_ell2_cblinfun',X0_'B1_b2_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_b1_b2_prod_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'B2_ell2_b1_b2_prod_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b1_b2_prod_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_2 & X0_'B2_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'B2_ell2_b1_b2_prod_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'butterfly$x' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'B2_unit_prod_ell2',X0_'A2_unit_prod_ell2'] : % 32.20/8.77 ( iProver_Flat_'butterfly$x'(X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'B2_unit_prod_ell2',X0_'A2_unit_prod_ell2') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'A2_unit_prod_ell2'!=iProver_Domain_'A2_unit_prod_ell2'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_2 & X0_'A2_unit_prod_ell2'=iProver_Domain_'A2_unit_prod_ell2'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'id_cblinfun$f' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'B2_b2_prod_ell2_b2_b2_prod_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'id_cblinfun$f'(X0_'B2_b2_prod_ell2_b2_b2_prod_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'B2_b2_prod_ell2_b2_b2_prod_ell2_cblinfun'=iProver_Domain_'B2_b2_prod_ell2_b2_b2_prod_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'cblinfun_compose$dh' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [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'] : % 32.20/8.77 ( iProver_Flat_'cblinfun_compose$dh'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 & X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'cblinfun_compose$ar' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'A1_ell2_b1_ell2_cblinfun',X0_'Unit_ell2_b1_ell2_cblinfun',X0_'A1_ell2_unit_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'cblinfun_compose$ar'(X0_'A1_ell2_b1_ell2_cblinfun',X0_'Unit_ell2_b1_ell2_cblinfun',X0_'A1_ell2_unit_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'A1_ell2_unit_ell2_cblinfun'!=iProver_Domain_'A1_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 & X0_'A1_ell2_unit_ell2_cblinfun'=iProver_Domain_'A1_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'Unit_ell2_b1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 & X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 & X0_'A1_ell2_unit_ell2_cblinfun'=iProver_Domain_'A1_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'cblinfun_compose$bl' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'B1_ell2_b1_ell2_cblinfun',X0_'A1_ell2_b1_ell2_cblinfun',X0_'B1_ell2_a1_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'cblinfun_compose$bl'(X0_'B1_ell2_b1_ell2_cblinfun',X0_'A1_ell2_b1_ell2_cblinfun',X0_'B1_ell2_a1_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 & X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'fun_app$v' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'B1_b2_prod_ell2',X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun',X1_'B1_b2_prod_ell2'] : % 32.20/8.77 ( iProver_Flat_'fun_app$v'(X0_'B1_b2_prod_ell2',X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun',X1_'B1_b2_prod_ell2') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'B1_b2_prod_ell2'=iProver_Domain_'B1_b2_prod_ell2'_1 & X1_'B1_b2_prod_ell2'=iProver_Domain_'B1_b2_prod_ell2'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'B1_b2_prod_ell2'=iProver_Domain_'B1_b2_prod_ell2'_2 ) % 32.20/8.77 & % 32.20/8.77 ( X1_'B1_b2_prod_ell2'!=iProver_Domain_'B1_b2_prod_ell2'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'adj$c' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'Unit_ell2_unit_ell2_cblinfun',X1_'Unit_ell2_unit_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'adj$c'(X0_'Unit_ell2_unit_ell2_cblinfun',X1_'Unit_ell2_unit_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_2 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'sandwich$n' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [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'] : % 32.20/8.77 ( iProver_Flat_'sandwich$n'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun',X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'_1 & X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'plus$z' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [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'] : % 32.20/8.77 ( iProver_Flat_'plus$z'(X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X1_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X2_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'cblinfun_apply$e' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [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'] : % 32.20/8.77 ( iProver_Flat_'cblinfun_apply$e'(X0_'A1_a2_a3_prod_prod_ell2',X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_2 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'cblinfun_compose$ep' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'Unit_ell2_b3_ell2_cblinfun',X0_'B3_ell2_b3_ell2_cblinfun',X1_'Unit_ell2_b3_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'cblinfun_compose$ep'(X0_'Unit_ell2_b3_ell2_cblinfun',X0_'B3_ell2_b3_ell2_cblinfun',X1_'Unit_ell2_b3_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X1_'Unit_ell2_b3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 & X1_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'cblinfun_compose$cc' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'B2_ell2_b2_ell2_cblinfun',X1_'B2_ell2_b2_ell2_cblinfun',X2_'B2_ell2_b2_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'cblinfun_compose$cc'(X0_'B2_ell2_b2_ell2_cblinfun',X1_'B2_ell2_b2_ell2_cblinfun',X2_'B2_ell2_b2_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 & X1_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 & X2_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_2 ) % 32.20/8.77 & % 32.20/8.77 ( X1_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 | X2_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'adj$x' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'B2_b3_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'adj$x'(X0_'B2_b3_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'B2_b3_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'B2_b3_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun'!=iProver_Domain_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'B2_b3_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'B2_b3_prod_ell2_b2_unit_prod_ell2_cblinfun'_2 & X0_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'cblinfun_compose$cq' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [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'] : % 32.20/8.77 ( 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') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( 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 ) % 32.20/8.77 & % 32.20/8.77 ( 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 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( 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 ) % 32.20/8.77 & % 32.20/8.77 ( 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 ) % 32.20/8.77 & % 32.20/8.77 ( 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 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( 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_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( 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 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( 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 & 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 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'cblinfun_apply$f' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [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'] : % 32.20/8.77 ( iProver_Flat_'cblinfun_apply$f'(X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_fun',X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_fun'_2 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'a23_n$' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'a23_n$'(X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_2 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'sandwich$o' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [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'] : % 32.20/8.77 ( iProver_Flat_'sandwich$o'(X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_fun',X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_fun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_fun'_1 & X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'butterfly$ac' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'A3_b1_prod_ell2_b3_b1_prod_ell2_cblinfun',X0_'B3_b1_prod_ell2',X0_'A3_b1_prod_ell2'] : % 32.20/8.77 ( iProver_Flat_'butterfly$ac'(X0_'A3_b1_prod_ell2_b3_b1_prod_ell2_cblinfun',X0_'B3_b1_prod_ell2',X0_'A3_b1_prod_ell2') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A3_b1_prod_ell2_b3_b1_prod_ell2_cblinfun'=iProver_Domain_'A3_b1_prod_ell2_b3_b1_prod_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'B3_b1_prod_ell2'!=iProver_Domain_'B3_b1_prod_ell2'_1 | X0_'A3_b1_prod_ell2'!=iProver_Domain_'A3_b1_prod_ell2'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'A3_b1_prod_ell2'!=iProver_Domain_'A3_b1_prod_ell2'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A3_b1_prod_ell2_b3_b1_prod_ell2_cblinfun'=iProver_Domain_'A3_b1_prod_ell2_b3_b1_prod_ell2_cblinfun'_1 & X0_'B3_b1_prod_ell2'=iProver_Domain_'B3_b1_prod_ell2'_1 & X0_'A3_b1_prod_ell2'=iProver_Domain_'A3_b1_prod_ell2'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A3_b1_prod_ell2_b3_b1_prod_ell2_cblinfun'=iProver_Domain_'A3_b1_prod_ell2_b3_b1_prod_ell2_cblinfun'_1 & X0_'A3_b1_prod_ell2'=iProver_Domain_'A3_b1_prod_ell2'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'B3_b1_prod_ell2'!=iProver_Domain_'B3_b1_prod_ell2'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'id$g' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun'] : % 32.20/8.77 ( iProver_Flat_'id$g'(X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'zero$o' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'B1_b3_prod_ell2'] : % 32.20/8.77 ( iProver_Flat_'zero$o'(X0_'B1_b3_prod_ell2') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'B1_b3_prod_ell2'=iProver_Domain_'B1_b3_prod_ell2'_2 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'tensor_ell2$x' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'A1_a3_prod_ell2',X0_'A1_ell2',X0_'A3_ell2'] : % 32.20/8.77 ( iProver_Flat_'tensor_ell2$x'(X0_'A1_a3_prod_ell2',X0_'A1_ell2',X0_'A3_ell2') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_a3_prod_ell2'=iProver_Domain_'A1_a3_prod_ell2'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'cblinfun_apply$b' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'A1_ell2',X0_'B1_ell2_a1_ell2_cblinfun',X0_'B1_ell2'] : % 32.20/8.77 ( iProver_Flat_'cblinfun_apply$b'(X0_'A1_ell2',X0_'B1_ell2_a1_ell2_cblinfun',X0_'B1_ell2') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_ell2'=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'B1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_ell2'=iProver_Domain_'A1_ell2'_1 & X0_'B1_ell2_a1_ell2_cblinfun'=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_ell2'=iProver_Domain_'A1_ell2'_1 & X0_'B1_ell2_a1_ell2_cblinfun'=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_1 & X0_'B1_ell2'=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_ell2'=iProver_Domain_'A1_ell2'_1 & X0_'B1_ell2'=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'B1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'cblinfun_compose$bb' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [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'] : % 32.20/8.77 ( iProver_Flat_'cblinfun_compose$bb'(X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 | X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 & X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 & X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 & X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'tensor_op$f' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [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'] : % 32.20/8.77 ( iProver_Flat_'tensor_op$f'(X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'Unit_ell2_a1_ell2_cblinfun',X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'Unit_ell2_a1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 & X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'cblinfun_compose$q' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'A3_ell2_a3_ell2_cblinfun',X0_'Unit_ell2_a3_ell2_cblinfun',X0_'A3_ell2_unit_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'cblinfun_compose$q'(X0_'A3_ell2_a3_ell2_cblinfun',X0_'Unit_ell2_a3_ell2_cblinfun',X0_'A3_ell2_unit_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_2 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'cblinfun_compose$dt' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [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'] : % 32.20/8.77 ( iProver_Flat_'cblinfun_compose$dt'(X0_'A1_a1_prod_a1_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun',X1_'A1_a1_prod_a1_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_a1_prod_ell2_a1_a1_prod_a1_prod_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_a1_prod_a1_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a1_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'zero$x' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'zero$x'(X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_2 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'cblinfun_compose$e' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'A2_ell2_b2_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun',X1_'A2_ell2_b2_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'cblinfun_compose$e'(X0_'A2_ell2_b2_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun',X1_'A2_ell2_b2_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A2_ell2_b2_ell2_cblinfun'=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'tensor_ell2$o' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'B2_b3_prod_ell2',X0_'B2_ell2',X0_'B3_ell2'] : % 32.20/8.77 ( iProver_Flat_'tensor_ell2$o'(X0_'B2_b3_prod_ell2',X0_'B2_ell2',X0_'B3_ell2') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'B2_b3_prod_ell2'=iProver_Domain_'B2_b3_prod_ell2'_2 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'cblinfun_compose$df' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [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'] : % 32.20/8.77 ( 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') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( 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 ) % 32.20/8.77 & % 32.20/8.77 ( 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 ) % 32.20/8.77 & % 32.20/8.77 ( 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 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( 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 ) % 32.20/8.77 & % 32.20/8.77 ( 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 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( 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 & 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 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'butterfly$e' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'A3_ell2_b3_ell2_cblinfun',X0_'B3_ell2',X0_'A3_ell2'] : % 32.20/8.77 ( iProver_Flat_'butterfly$e'(X0_'A3_ell2_b3_ell2_cblinfun',X0_'B3_ell2',X0_'A3_ell2') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'A3_ell2'!=iProver_Domain_'A3_ell2'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'B3_ell2'!=iProver_Domain_'B3_ell2'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 & X0_'A3_ell2'=iProver_Domain_'A3_ell2'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 & X0_'B3_ell2'=iProver_Domain_'B3_ell2'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'A3_ell2'!=iProver_Domain_'A3_ell2'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 & X0_'B3_ell2'=iProver_Domain_'B3_ell2'_1 & X0_'A3_ell2'=iProver_Domain_'A3_ell2'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'adj$ay' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun',X0_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'adj$ay'(X0_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun',X0_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'cblinfun_compose$o' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'A2_ell2_a2_ell2_cblinfun',X1_'A2_ell2_a2_ell2_cblinfun',X2_'A2_ell2_a2_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'cblinfun_compose$o'(X0_'A2_ell2_a2_ell2_cblinfun',X1_'A2_ell2_a2_ell2_cblinfun',X2_'A2_ell2_a2_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 & X1_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X2_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 & X1_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 & X2_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_2 ) % 32.20/8.77 & % 32.20/8.77 ( X1_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X1_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 | X2_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'butterfly$ab' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'A3_a3_prod_ell2_b3_b3_prod_ell2_cblinfun',X0_'B3_b3_prod_ell2',X0_'A3_a3_prod_ell2'] : % 32.20/8.77 ( iProver_Flat_'butterfly$ab'(X0_'A3_a3_prod_ell2_b3_b3_prod_ell2_cblinfun',X0_'B3_b3_prod_ell2',X0_'A3_a3_prod_ell2') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A3_a3_prod_ell2_b3_b3_prod_ell2_cblinfun'=iProver_Domain_'A3_a3_prod_ell2_b3_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'B3_b3_prod_ell2'!=iProver_Domain_'B3_b3_prod_ell2'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A3_a3_prod_ell2_b3_b3_prod_ell2_cblinfun'=iProver_Domain_'A3_a3_prod_ell2_b3_b3_prod_ell2_cblinfun'_1 & X0_'B3_b3_prod_ell2'=iProver_Domain_'B3_b3_prod_ell2'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'sandwich$q' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_fun',X0_'A2_ell2_a2_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'sandwich$q'(X0_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_fun',X0_'A2_ell2_a2_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_fun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_fun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_fun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_fun'_1 & X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'fun_app$x' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'A1_a2_prod_ell2',X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun',X1_'A1_a2_prod_ell2'] : % 32.20/8.77 ( iProver_Flat_'fun_app$x'(X0_'A1_a2_prod_ell2',X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun',X1_'A1_a2_prod_ell2') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_a2_prod_ell2'=iProver_Domain_'A1_a2_prod_ell2'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun'!=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun'_1 | X1_'A1_a2_prod_ell2'!=iProver_Domain_'A1_a2_prod_ell2'_2 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_a2_prod_ell2'=iProver_Domain_'A1_a2_prod_ell2'_2 & X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_fun'_1 & X1_'A1_a2_prod_ell2'=iProver_Domain_'A1_a2_prod_ell2'_2 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'cblinfun_inv$' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'B2_ell2_b2_ell2_cblinfun',X1_'B2_ell2_b2_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'cblinfun_inv$'(X0_'B2_ell2_b2_ell2_cblinfun',X1_'B2_ell2_b2_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X1_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 & X1_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'vector_to_cblinfun$c' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'Unit_ell2_a3_ell2_cblinfun',X0_'A3_ell2'] : % 32.20/8.77 ( iProver_Flat_'vector_to_cblinfun$c'(X0_'Unit_ell2_a3_ell2_cblinfun',X0_'A3_ell2') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'A3_ell2'!=iProver_Domain_'A3_ell2'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_2 & X0_'A3_ell2'=iProver_Domain_'A3_ell2'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'adj$aj' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [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'] : % 32.20/8.77 ( iProver_Flat_'adj$aj'(X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'Unit_b2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 & X0_'Unit_b2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'cblinfun_compose$ei' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'A3_ell2_b3_ell2_cblinfun',X0_'B3_ell2_b3_ell2_cblinfun',X1_'A3_ell2_b3_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'cblinfun_compose$ei'(X0_'A3_ell2_b3_ell2_cblinfun',X0_'B3_ell2_b3_ell2_cblinfun',X1_'A3_ell2_b3_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 & X1_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_2 ) % 32.20/8.77 & % 32.20/8.77 ( X1_'A3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'vector_to_cblinfun$g' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'Complex_a1_ell2_cblinfun',X0_'A1_ell2'] : % 32.20/8.77 ( iProver_Flat_'vector_to_cblinfun$g'(X0_'Complex_a1_ell2_cblinfun',X0_'A1_ell2') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'Complex_a1_ell2_cblinfun'=iProver_Domain_'Complex_a1_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'A1_ell2'!=iProver_Domain_'A1_ell2'_2 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'Complex_a1_ell2_cblinfun'=iProver_Domain_'Complex_a1_ell2_cblinfun'_1 & X0_'A1_ell2'=iProver_Domain_'A1_ell2'_2 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'Complex_a1_ell2_cblinfun'=iProver_Domain_'Complex_a1_ell2_cblinfun'_2 & X0_'A1_ell2'=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'tensor_op$av' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [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'] : % 32.20/8.77 ( iProver_Flat_'tensor_op$av'(X0_'A1_a1_prod_a1_prod_ell2_a1_a1_prod_a1_prod_ell2_cblinfun',X0_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_a1_prod_a1_prod_ell2_a1_a1_prod_a1_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a1_prod_ell2_a1_a1_prod_a1_prod_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'cblinfun_compose$w' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'A1_ell2_a1_ell2_cblinfun',X0_'B1_ell2_a1_ell2_cblinfun',X0_'A1_ell2_b1_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'cblinfun_compose$w'(X0_'A1_ell2_a1_ell2_cblinfun',X0_'B1_ell2_a1_ell2_cblinfun',X0_'A1_ell2_b1_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_2 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'zero$ag' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'zero$ag'(X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'cblinfun_compose$dg' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [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'] : % 32.20/8.77 ( iProver_Flat_'cblinfun_compose$dg'(X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X1_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X1_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X1_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'fun_app$c' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [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'] : % 32.20/8.77 ( iProver_Flat_'fun_app$c'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_1 & X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun'='cblinfun_compose$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 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( 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 ) % 32.20/8.77 & % 32.20/8.77 ( 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$a' ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'id_cblinfun$ac' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'id_cblinfun$ac'(X0_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'adj$ax' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'A1_ell2_complex_cblinfun',X0_'Complex_a1_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'adj$ax'(X0_'A1_ell2_complex_cblinfun',X0_'Complex_a1_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_ell2_complex_cblinfun'=iProver_Domain_'A1_ell2_complex_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'Complex_a1_ell2_cblinfun'!=iProver_Domain_'Complex_a1_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'Complex_a1_ell2_cblinfun'!=iProver_Domain_'Complex_a1_ell2_cblinfun'_2 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_ell2_complex_cblinfun'=iProver_Domain_'A1_ell2_complex_cblinfun'_1 & X0_'Complex_a1_ell2_cblinfun'=iProver_Domain_'Complex_a1_ell2_cblinfun'_2 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_ell2_complex_cblinfun'=iProver_Domain_'A1_ell2_complex_cblinfun'_2 & X0_'Complex_a1_ell2_cblinfun'=iProver_Domain_'Complex_a1_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'heterogenous_cblinfun_id$d' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'A1_ell2_a1_ell2_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'heterogenous_cblinfun_id$d'(X0_'A1_ell2_a1_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'cblinfun_compose$bh' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'A1_ell2_a1_ell2_cblinfun',X0_'Complex_a1_ell2_cblinfun',X0_'A1_ell2_complex_cblinfun'] : % 32.20/8.77 ( iProver_Flat_'cblinfun_compose$bh'(X0_'A1_ell2_a1_ell2_cblinfun',X0_'Complex_a1_ell2_cblinfun',X0_'A1_ell2_complex_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_2 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'Complex_a1_ell2_cblinfun'!=iProver_Domain_'Complex_a1_ell2_cblinfun'_2 | X0_'A1_ell2_complex_cblinfun'!=iProver_Domain_'A1_ell2_complex_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'A1_ell2_complex_cblinfun'!=iProver_Domain_'A1_ell2_complex_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_2 & X0_'Complex_a1_ell2_cblinfun'=iProver_Domain_'Complex_a1_ell2_cblinfun'_1 & X0_'A1_ell2_complex_cblinfun'=iProver_Domain_'A1_ell2_complex_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_2 & X0_'Complex_a1_ell2_cblinfun'=iProver_Domain_'Complex_a1_ell2_cblinfun'_2 & X0_'A1_ell2_complex_cblinfun'=iProver_Domain_'A1_ell2_complex_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_2 & X0_'A1_ell2_complex_cblinfun'=iProver_Domain_'A1_ell2_complex_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'Complex_a1_ell2_cblinfun'!=iProver_Domain_'Complex_a1_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'Complex_a1_ell2_cblinfun'!=iProver_Domain_'Complex_a1_ell2_cblinfun'_2 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'cblinfun_apply$d' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'A1_ell2',X0_'A1_ell2_a1_ell2_cblinfun',X1_'A1_ell2'] : % 32.20/8.77 ( iProver_Flat_'cblinfun_apply$d'(X0_'A1_ell2',X0_'A1_ell2_a1_ell2_cblinfun',X1_'A1_ell2') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_ell2'=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 | X1_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 | X1_'A1_ell2'!=iProver_Domain_'A1_ell2'_2 ) % 32.20/8.77 & % 32.20/8.77 ( X1_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_ell2'=iProver_Domain_'A1_ell2'_1 & X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 & X1_'A1_ell2'=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_ell2'=iProver_Domain_'A1_ell2'_1 & X1_'A1_ell2'=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_ell2'=iProver_Domain_'A1_ell2'_2 & X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X1_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X1_'A1_ell2'!=iProver_Domain_'A1_ell2'_2 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_ell2'=iProver_Domain_'A1_ell2'_2 & X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 & X1_'A1_ell2'=iProver_Domain_'A1_ell2'_2 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'cblinfun_apply$' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [X0_'A3_ell2',X0_'A3_ell2_a3_ell2_cblinfun',X1_'A3_ell2'] : % 32.20/8.77 ( iProver_Flat_'cblinfun_apply$'(X0_'A3_ell2',X0_'A3_ell2_a3_ell2_cblinfun',X1_'A3_ell2') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A3_ell2'=iProver_Domain_'A3_ell2'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'cblinfun_apply$aq' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [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'] : % 32.20/8.77 ( iProver_Flat_'cblinfun_apply$aq'(X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_fun',X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'_2 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'_2 & X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'plus$o' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [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'] : % 32.20/8.77 ( 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') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( 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 ) % 32.20/8.77 & % 32.20/8.77 ( 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 ) % 32.20/8.77 & % 32.20/8.77 ( 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 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( 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 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( 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 ) % 32.20/8.77 & % 32.20/8.77 ( 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 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.77 ( 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 ) % 32.20/8.77 & % 32.20/8.77 ( 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 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ) % 32.20/8.77 ). % 32.20/8.77 % 32.20/8.77 %------ Positive definition of iProver_Flat_'butterfly$an' % 32.20/8.77 fof(lit_def,axiom, % 32.20/8.77 (! [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'] : % 32.20/8.77 ( iProver_Flat_'butterfly$an'(X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2',X0_'A1_a2_prod_a3_prod_ell2') <=> % 32.20/8.77 ( % 32.20/8.77 ( % 32.20/8.77 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'A1_a2_prod_a3_prod_ell2'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2'_1 ) % 32.20/8.77 & % 32.20/8.77 ( X0_'A1_a2_prod_a3_prod_ell2'!=iProver_Domain_'A1_a2_prod_a3_prod_ell2'_2 ) % 32.20/8.77 ) % 32.20/8.77 % 32.20/8.77 | % 32.20/8.77 ( % 32.20/8.78 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 & X0_'A1_a2_prod_a3_prod_ell2'=iProver_Domain_'A1_a2_prod_a3_prod_ell2'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 & X0_'A1_a2_prod_a3_prod_ell2'=iProver_Domain_'A1_a2_prod_a3_prod_ell2'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'id_cblinfun$t' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'Unit_ell2_unit_ell2_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'id_cblinfun$t'(X0_'Unit_ell2_unit_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$bi' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( 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') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( 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 ) % 32.20/8.78 & % 32.20/8.78 ( 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 ) % 32.20/8.78 & % 32.20/8.78 ( 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 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( 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_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( 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 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( 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_'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 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( 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_'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 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'tensor_ell2$r' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'A1_a2_prod_a3_prod_ell2',X0_'A1_a2_prod_ell2',X0_'A3_ell2'] : % 32.20/8.78 ( iProver_Flat_'tensor_ell2$r'(X0_'A1_a2_prod_a3_prod_ell2',X0_'A1_a2_prod_ell2',X0_'A3_ell2') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_a2_prod_a3_prod_ell2'=iProver_Domain_'A1_a2_prod_a3_prod_ell2'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'zero$ae' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'zero$ae'(X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$ax' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'B1_ell2_a1_ell2_cblinfun',X0_'Unit_ell2_a1_ell2_cblinfun',X0_'B1_ell2_unit_ell2_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'cblinfun_compose$ax'(X0_'B1_ell2_a1_ell2_cblinfun',X0_'Unit_ell2_a1_ell2_cblinfun',X0_'B1_ell2_unit_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_ell2_a1_ell2_cblinfun'=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'Unit_ell2_a1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'Unit_ell2_a1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 | X0_'B1_ell2_unit_ell2_cblinfun'!=iProver_Domain_'B1_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'Unit_ell2_a1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 | X0_'B1_ell2_unit_ell2_cblinfun'!=iProver_Domain_'B1_ell2_unit_ell2_cblinfun'_2 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'Unit_ell2_a1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_2 | X0_'B1_ell2_unit_ell2_cblinfun'!=iProver_Domain_'B1_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_ell2_a1_ell2_cblinfun'=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_1 & X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'B1_ell2_unit_ell2_cblinfun'!=iProver_Domain_'B1_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'B1_ell2_unit_ell2_cblinfun'!=iProver_Domain_'B1_ell2_unit_ell2_cblinfun'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_ell2_a1_ell2_cblinfun'=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_1 & X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 & X0_'B1_ell2_unit_ell2_cblinfun'=iProver_Domain_'B1_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_ell2_a1_ell2_cblinfun'=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_1 & X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 & X0_'B1_ell2_unit_ell2_cblinfun'=iProver_Domain_'B1_ell2_unit_ell2_cblinfun'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_ell2_a1_ell2_cblinfun'=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_1 & X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_2 & X0_'B1_ell2_unit_ell2_cblinfun'=iProver_Domain_'B1_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_apply$p' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'A2_a3_prod_ell2',X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_unit_prod_ell2'] : % 32.20/8.78 ( iProver_Flat_'cblinfun_apply$p'(X0_'A2_a3_prod_ell2',X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_unit_prod_ell2') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A2_a3_prod_ell2'=iProver_Domain_'A2_a3_prod_ell2'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'A2_unit_prod_ell2'!=iProver_Domain_'A2_unit_prod_ell2'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'A2_a3_prod_ell2'=iProver_Domain_'A2_a3_prod_ell2'_1 & X0_'A2_unit_prod_ell2'=iProver_Domain_'A2_unit_prod_ell2'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'tensor_op$aj' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( iProver_Flat_'tensor_op$aj'(X0_'A1_a1_prod_a3_prod_ell2_a1_a1_prod_b3_prod_ell2_cblinfun',X0_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_a1_prod_a3_prod_ell2_a1_a1_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a3_prod_ell2_a1_a1_prod_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$ek' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'Unit_ell2_b1_ell2_cblinfun',X0_'B1_ell2_b1_ell2_cblinfun',X1_'Unit_ell2_b1_ell2_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'cblinfun_compose$ek'(X0_'Unit_ell2_b1_ell2_cblinfun',X0_'B1_ell2_b1_ell2_cblinfun',X1_'Unit_ell2_b1_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 & X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 & X1_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_2 ) % 32.20/8.78 & % 32.20/8.78 ( X1_'Unit_ell2_b1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_2 & X1_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'adj$bk' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'A2_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_a2_ell2_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'adj$bk'(X0_'A2_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_a2_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A2_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_a3_prod_ell2_cblinfun'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'butterfly$g' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'A1_ell2_b1_ell2_cblinfun',X0_'B1_ell2',X0_'A1_ell2'] : % 32.20/8.78 ( iProver_Flat_'butterfly$g'(X0_'A1_ell2_b1_ell2_cblinfun',X0_'B1_ell2',X0_'A1_ell2') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 | X0_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 | X0_'A1_ell2'!=iProver_Domain_'A1_ell2'_2 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'B1_ell2'!=iProver_Domain_'B1_ell2'_2 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'B1_ell2'!=iProver_Domain_'B1_ell2'_2 | X0_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'A1_ell2'!=iProver_Domain_'A1_ell2'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 & X0_'B1_ell2'=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'A1_ell2'!=iProver_Domain_'A1_ell2'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 & X0_'B1_ell2'=iProver_Domain_'B1_ell2'_1 & X0_'A1_ell2'=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 & X0_'B1_ell2'=iProver_Domain_'B1_ell2'_1 & X0_'A1_ell2'=iProver_Domain_'A1_ell2'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 & X0_'B1_ell2'=iProver_Domain_'B1_ell2'_2 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 & X0_'B1_ell2'=iProver_Domain_'B1_ell2'_2 & X0_'A1_ell2'=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 & X0_'A1_ell2'=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'B1_ell2'!=iProver_Domain_'B1_ell2'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 & X0_'A1_ell2'=iProver_Domain_'A1_ell2'_2 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'sandwich$m' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( iProver_Flat_'sandwich$m'(X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_fun',X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_fun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_fun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$al' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( iProver_Flat_'cblinfun_compose$al'(X0_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'adj$bg' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'B1_b2_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_b1_b2_prod_ell2_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'adj$bg'(X0_'B1_b2_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_b1_b2_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_b2_prod_ell2_a2_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'fun_app$p' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( 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') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( 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'_1 ) % 32.20/8.78 & % 32.20/8.78 ( 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 ) % 32.20/8.78 & % 32.20/8.78 ( 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 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( 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_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 & 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 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( 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 ) % 32.20/8.78 & % 32.20/8.78 ( 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 ) % 32.20/8.78 & % 32.20/8.78 ( 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_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 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( 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'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'tensor_ell2$k' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'B1_a3_prod_ell2',X0_'B1_ell2',X0_'A3_ell2'] : % 32.20/8.78 ( iProver_Flat_'tensor_ell2$k'(X0_'B1_a3_prod_ell2',X0_'B1_ell2',X0_'A3_ell2') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_a3_prod_ell2'=iProver_Domain_'B1_a3_prod_ell2'_1 & X0_'B1_ell2'=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_a3_prod_ell2'=iProver_Domain_'B1_a3_prod_ell2'_2 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'butterfly$aj' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( iProver_Flat_'butterfly$aj'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2',X0_'A1_a2_a3_prod_prod_ell2') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'B1_b2_b3_prod_prod_ell2'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X0_'B1_b2_b3_prod_prod_ell2'=iProver_Domain_'B1_b2_b3_prod_prod_ell2'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'fun_app$k' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( iProver_Flat_'fun_app$k'(X0_'Unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun',X0_'A2_ell2_b2_ell2_cblinfun_unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun_fun',X0_'A2_ell2_b2_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'Unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'A2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_1 | X0_'A2_ell2_b2_ell2_cblinfun_unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun_fun'!='tensor_op$q' ) % 32.20/8.78 & % 32.20/8.78 ( X0_'A2_ell2_b2_ell2_cblinfun_unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun_fun'!='tensor_op$q' ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'Unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun'_1 & X0_'A2_ell2_b2_ell2_cblinfun_unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun_fun'='tensor_op$q' ) % 32.20/8.78 & % 32.20/8.78 ( X0_'A2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( 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$q' & X0_'A2_ell2_b2_ell2_cblinfun'=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'vector_to_cblinfun$f' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'Complex_b1_ell2_cblinfun',X0_'B1_ell2'] : % 32.20/8.78 ( iProver_Flat_'vector_to_cblinfun$f'(X0_'Complex_b1_ell2_cblinfun',X0_'B1_ell2') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'Complex_b1_ell2_cblinfun'=iProver_Domain_'Complex_b1_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'Complex_b1_ell2_cblinfun'=iProver_Domain_'Complex_b1_ell2_cblinfun'_2 & X0_'B1_ell2'=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'adj$bb' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'adj$bb'(X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 & X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'butterfly$ak' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( iProver_Flat_'butterfly$ak'(X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2',X0_'A1_a2_a3_prod_prod_ell2') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'zero$s' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'A1_b3_prod_ell2'] : % 32.20/8.78 ( iProver_Flat_'zero$s'(X0_'A1_b3_prod_ell2') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_b3_prod_ell2'=iProver_Domain_'A1_b3_prod_ell2'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$es' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'Unit_ell2_a1_ell2_cblinfun',X0_'B1_ell2_a1_ell2_cblinfun',X0_'Unit_ell2_b1_ell2_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'cblinfun_compose$es'(X0_'Unit_ell2_a1_ell2_cblinfun',X0_'B1_ell2_a1_ell2_cblinfun',X0_'Unit_ell2_b1_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'adj$y' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun',X1_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'adj$y'(X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun',X1_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X1_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'!=iProver_Domain_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'_1 & X1_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'adj$u' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'A1_ell2_unit_ell2_cblinfun',X0_'Unit_ell2_a1_ell2_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'adj$u'(X0_'A1_ell2_unit_ell2_cblinfun',X0_'Unit_ell2_a1_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_ell2_unit_ell2_cblinfun'=iProver_Domain_'A1_ell2_unit_ell2_cblinfun'_1 & X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_ell2_unit_ell2_cblinfun'=iProver_Domain_'A1_ell2_unit_ell2_cblinfun'_2 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'Unit_ell2_a1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$di' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( iProver_Flat_'cblinfun_compose$di'(X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X0_'B1_b2_prod_b3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'B1_b2_prod_b3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_b3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'plus$' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'B1_ell2',X1_'B1_ell2',X2_'B1_ell2'] : % 32.20/8.78 ( iProver_Flat_'plus$'(X0_'B1_ell2',X1_'B1_ell2',X2_'B1_ell2') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_ell2'=iProver_Domain_'B1_ell2'_1 & X1_'B1_ell2'=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X2_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X2_'B1_ell2'!=iProver_Domain_'B1_ell2'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_ell2'=iProver_Domain_'B1_ell2'_1 & X1_'B1_ell2'=iProver_Domain_'B1_ell2'_1 & X2_'B1_ell2'=iProver_Domain_'B1_ell2'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_ell2'=iProver_Domain_'B1_ell2'_1 & X1_'B1_ell2'=iProver_Domain_'B1_ell2'_2 & X2_'B1_ell2'=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_ell2'=iProver_Domain_'B1_ell2'_1 & X2_'B1_ell2'=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X1_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X1_'B1_ell2'!=iProver_Domain_'B1_ell2'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_ell2'=iProver_Domain_'B1_ell2'_2 ) % 32.20/8.78 & % 32.20/8.78 ( X1_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X1_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 | X2_'B1_ell2'!=iProver_Domain_'B1_ell2'_2 ) % 32.20/8.78 & % 32.20/8.78 ( X1_'B1_ell2'!=iProver_Domain_'B1_ell2'_2 | X2_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X2_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_ell2'=iProver_Domain_'B1_ell2'_2 & X1_'B1_ell2'=iProver_Domain_'B1_ell2'_1 & X2_'B1_ell2'=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'id$a' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'] : % 32.20/8.78 ( iProver_Flat_'id$a'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'adj$d' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'adj$d'(X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$br' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( iProver_Flat_'cblinfun_compose$br'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A2_a3_prod_a1_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a2_a3_prod_a1_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'A2_a3_prod_a1_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!='swap_ell2$g' | X0_'A1_a2_a3_prod_prod_ell2_a2_a3_prod_a1_prod_ell2_cblinfun'!='swap_ell2$h' ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X0_'A2_a3_prod_a1_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'='swap_ell2$g' & X0_'A1_a2_a3_prod_prod_ell2_a2_a3_prod_a1_prod_ell2_cblinfun'='swap_ell2$h' ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$dz' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( iProver_Flat_'cblinfun_compose$dz'(X0_'B1_b2_b3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_b2_b3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_b2_b3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_b2_b3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_2 & X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 & X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'zero$e' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'B1_ell2_b1_ell2_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'zero$e'(X0_'B1_ell2_b1_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_inv$h' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'A1_a2_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a1_a2_prod_ell2_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'cblinfun_inv$h'(X0_'A1_a2_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a1_a2_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_a2_prod_ell2_b2_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'fun_app$aa' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( iProver_Flat_'fun_app$aa'(X0_'B1_b2_prod_b3_prod_ell2',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_fun',X0_'B1_b2_b3_prod_prod_ell2') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_b2_prod_b3_prod_ell2'=iProver_Domain_'B1_b2_prod_b3_prod_ell2'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_fun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_fun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_b2_prod_b3_prod_ell2'=iProver_Domain_'B1_b2_prod_b3_prod_ell2'_1 & X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_fun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_fun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'zero$am' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'zero$am'(X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'adj$' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( iProver_Flat_'adj$'(X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 & X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_2 & X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$ct' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( iProver_Flat_'cblinfun_compose$ct'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_apply$ad' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( 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') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( 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 ) % 32.20/8.78 & % 32.20/8.78 ( 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 ) % 32.20/8.78 & % 32.20/8.78 ( 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'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( 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_'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 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( 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_'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'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_apply$s' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'B2_b3_prod_ell2',X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2'] : % 32.20/8.78 ( iProver_Flat_'cblinfun_apply$s'(X0_'B2_b3_prod_ell2',X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'B2_b3_prod_ell2'=iProver_Domain_'B2_b3_prod_ell2'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'plus$ab' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( iProver_Flat_'plus$ab'(X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X2_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'butterfly$ai' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( iProver_Flat_'butterfly$ai'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2',X1_'B1_b2_b3_prod_prod_ell2') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$dm' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( iProver_Flat_'cblinfun_compose$dm'(X0_'A1_a1_a3_prod_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_a3_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun',X0_'A1_a1_a3_prod_prod_ell2_a1_a1_prod_a3_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_a1_a3_prod_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a3_prod_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'A1_a1_a3_prod_prod_ell2_a1_a1_prod_a3_prod_ell2_cblinfun'!='assoc_ell2$e' ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( 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$e' ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$dw' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( iProver_Flat_'cblinfun_compose$dw'(X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 & X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 & X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 & X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$c' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( iProver_Flat_'cblinfun_compose$c'(X0_'Unit_a2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'Unit_a2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'Unit_a2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'Unit_a2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 & X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 & X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'tensor_op$ao' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( iProver_Flat_'tensor_op$ao'(X0_'A1_a1_a3_prod_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X0_'A1_a3_prod_ell2_a1_a3_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_a1_a3_prod_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a3_prod_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'A1_a3_prod_ell2_a1_a3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a3_prod_ell2_a1_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_a1_a3_prod_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a3_prod_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'_1 & X0_'A1_a3_prod_ell2_a1_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a3_prod_ell2_a1_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'d$' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'d$'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'assoc_ell2$k' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'A1_a1_prod_a1_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'assoc_ell2$k'(X0_'A1_a1_prod_a1_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_a1_prod_a1_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a1_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'id_cblinfun$aa' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'id_cblinfun$aa'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'heterogenous_cblinfun_id$o' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'B2_ell2_a2_ell2_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'heterogenous_cblinfun_id$o'(X0_'B2_ell2_a2_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'B2_ell2_a2_ell2_cblinfun'=iProver_Domain_'B2_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$cf' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( iProver_Flat_'cblinfun_compose$cf'(X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'A2_ell2_b1_b2_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_a2_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'heterogenous_cblinfun_id$e' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'heterogenous_cblinfun_id$e'(X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_apply$ah' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'B3_ell2',X0_'B3_ell2_b3_ell2_cblinfun',X1_'B3_ell2'] : % 32.20/8.78 ( iProver_Flat_'cblinfun_apply$ah'(X0_'B3_ell2',X0_'B3_ell2_b3_ell2_cblinfun',X1_'B3_ell2') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'B3_ell2'=iProver_Domain_'B3_ell2'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'zero$ah' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'zero$ah'(X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'plus$w' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( iProver_Flat_'plus$w'(X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X2_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X1_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 & X1_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 & X2_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 & X1_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X2_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'fun_app$f' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( 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') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( 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_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 & X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( 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 ) % 32.20/8.78 & % 32.20/8.78 ( 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 ) % 32.20/8.78 & % 32.20/8.78 ( 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 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) % 32.20/8.78 & % 32.20/8.78 ( 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 | X0_'A3_ell2_a3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'A3_ell2_a3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( 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 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'zero$g' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'A3_ell2_a3_ell2_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'zero$g'(X0_'A3_ell2_a3_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'psi_n$' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'B1_ell2'] : % 32.20/8.78 ( iProver_Flat_'psi_n$'(X0_'B1_ell2') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_ell2'=iProver_Domain_'B1_ell2'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'fun_app$g' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( iProver_Flat_'fun_app$g'(X0_'A3_ell2_a3_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun',X0_'A2_ell2_a2_ell2_cblinfun_a3_ell2_a3_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun_fun',X0_'A2_ell2_a2_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A3_ell2_a3_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 | X0_'A2_ell2_a2_ell2_cblinfun_a3_ell2_a3_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun_fun'!='tensor_op$c' ) % 32.20/8.78 & % 32.20/8.78 ( X0_'A2_ell2_a2_ell2_cblinfun_a3_ell2_a3_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun_fun'!='tensor_op$c' ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'A3_ell2_a3_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun'_1 & X0_'A2_ell2_a2_ell2_cblinfun_a3_ell2_a3_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun_fun'='tensor_op$c' ) % 32.20/8.78 & % 32.20/8.78 ( X0_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( 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 & X0_'A2_ell2_a2_ell2_cblinfun_a3_ell2_a3_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_fun_fun'='tensor_op$c' & X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'tensor_op$ae' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( iProver_Flat_'tensor_op$ae'(X0_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_a1_a2_prod_ell2_cblinfun',X0_'B3_ell2_a3_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'butterfly$ag' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun',X0_'B1_b3_prod_ell2',X0_'B1_a3_prod_ell2'] : % 32.20/8.78 ( iProver_Flat_'butterfly$ag'(X0_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun',X0_'B1_b3_prod_ell2',X0_'B1_a3_prod_ell2') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'B1_a3_prod_ell2'!=iProver_Domain_'B1_a3_prod_ell2'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'B1_b3_prod_ell2'!=iProver_Domain_'B1_b3_prod_ell2'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'_2 & X0_'B1_a3_prod_ell2'=iProver_Domain_'B1_a3_prod_ell2'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_a3_prod_ell2_b1_b3_prod_ell2_cblinfun'_2 & X0_'B1_b3_prod_ell2'=iProver_Domain_'B1_b3_prod_ell2'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'tensor_op$an' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( iProver_Flat_'tensor_op$an'(X0_'A1_a1_prod_a3_prod_ell2_a1_a1_prod_a3_prod_ell2_cblinfun',X0_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun',X0_'A3_ell2_a3_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_a1_prod_a3_prod_ell2_a1_a1_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a3_prod_ell2_a1_a1_prod_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$cm' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'B2_ell2_b2_ell2_cblinfun',X0_'A1_a2_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a1_a2_prod_ell2_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'cblinfun_compose$cm'(X0_'B2_ell2_b2_ell2_cblinfun',X0_'A1_a2_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a1_a2_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'A1_a2_prod_ell2_b2_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 & X0_'A1_a2_prod_ell2_b2_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'zero$m' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'B1_b1_prod_ell2'] : % 32.20/8.78 ( iProver_Flat_'zero$m'(X0_'B1_b1_prod_ell2') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_b1_prod_ell2'=iProver_Domain_'B1_b1_prod_ell2'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$i' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'Unit_ell2_a3_ell2_cblinfun',X1_'Unit_ell2_a3_ell2_cblinfun',X0_'Unit_ell2_unit_ell2_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'cblinfun_compose$i'(X0_'Unit_ell2_a3_ell2_cblinfun',X1_'Unit_ell2_a3_ell2_cblinfun',X0_'Unit_ell2_unit_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 & X1_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'Unit_ell2_unit_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 & X1_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 & X0_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_2 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'Unit_ell2_unit_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 | X1_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X1_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$aa' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( iProver_Flat_'cblinfun_compose$aa'(X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X1_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.78 & % 32.20/8.78 ( X1_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$dy' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( 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') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( 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 ) % 32.20/8.78 & % 32.20/8.78 ( 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 ) % 32.20/8.78 & % 32.20/8.78 ( 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_'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 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( 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_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 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( 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'_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 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$ca' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'B3_ell2_a1_ell2_cblinfun',X0_'Complex_a1_ell2_cblinfun',X0_'B3_ell2_complex_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'cblinfun_compose$ca'(X0_'B3_ell2_a1_ell2_cblinfun',X0_'Complex_a1_ell2_cblinfun',X0_'B3_ell2_complex_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'B3_ell2_a1_ell2_cblinfun'=iProver_Domain_'B3_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'B3_ell2_complex_cblinfun'!=iProver_Domain_'B3_ell2_complex_cblinfun'_1 | X0_'Complex_a1_ell2_cblinfun'!=iProver_Domain_'Complex_a1_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'B3_ell2_complex_cblinfun'!=iProver_Domain_'B3_ell2_complex_cblinfun'_1 | X0_'Complex_a1_ell2_cblinfun'!=iProver_Domain_'Complex_a1_ell2_cblinfun'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'B3_ell2_a1_ell2_cblinfun'=iProver_Domain_'B3_ell2_a1_ell2_cblinfun'_1 & X0_'Complex_a1_ell2_cblinfun'=iProver_Domain_'Complex_a1_ell2_cblinfun'_1 & X0_'B3_ell2_complex_cblinfun'=iProver_Domain_'B3_ell2_complex_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'B3_ell2_a1_ell2_cblinfun'=iProver_Domain_'B3_ell2_a1_ell2_cblinfun'_1 & X0_'Complex_a1_ell2_cblinfun'=iProver_Domain_'Complex_a1_ell2_cblinfun'_2 & X0_'B3_ell2_complex_cblinfun'=iProver_Domain_'B3_ell2_complex_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$dp' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( iProver_Flat_'cblinfun_compose$dp'(X0_'A1_a1_prod_a2_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun',X1_'A1_a1_prod_a2_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_a2_prod_ell2_a1_a1_prod_a2_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_a1_prod_a2_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_a2_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$g' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( iProver_Flat_'cblinfun_compose$g'(X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'B2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'butterfly$am' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( iProver_Flat_'butterfly$am'(X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2',X0_'A1_a2_a3_prod_prod_ell2') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'A1_a2_a3_prod_prod_ell2'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 & X0_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'tensor_op$x' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'B2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun',X0_'Unit_ell2_unit_ell2_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'tensor_op$x'(X0_'B2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun',X0_'Unit_ell2_unit_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'B2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'=iProver_Domain_'B2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'B2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'B2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'=iProver_Domain_'B2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'_1 & X0_'B2_ell2_a2_ell2_cblinfun'=iProver_Domain_'B2_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_inv$c' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'A2_ell2_a2_ell2_cblinfun',X1_'A2_ell2_a2_ell2_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'cblinfun_inv$c'(X0_'A2_ell2_a2_ell2_cblinfun',X1_'A2_ell2_a2_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X1_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 & X1_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$ea' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( 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') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( 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 ) % 32.20/8.78 & % 32.20/8.78 ( 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 ) % 32.20/8.78 & % 32.20/8.78 ( 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 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( 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_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 ) % 32.20/8.78 & % 32.20/8.78 ( 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 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( 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_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_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 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$er' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'Unit_ell2_b3_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun',X0_'Unit_ell2_a3_ell2_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'cblinfun_compose$er'(X0_'Unit_ell2_b3_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun',X0_'Unit_ell2_a3_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 & X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 & X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_apply$a' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'B1_ell2',X0_'B1_ell2_b1_ell2_cblinfun',X1_'B1_ell2'] : % 32.20/8.78 ( iProver_Flat_'cblinfun_apply$a'(X0_'B1_ell2',X0_'B1_ell2_b1_ell2_cblinfun',X1_'B1_ell2') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_ell2'=iProver_Domain_'B1_ell2'_1 & X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 & X1_'B1_ell2'=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_ell2'=iProver_Domain_'B1_ell2'_2 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 | X1_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X1_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_ell2'=iProver_Domain_'B1_ell2'_2 & X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X1_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_ell2'=iProver_Domain_'B1_ell2'_2 & X1_'B1_ell2'=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'B1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$be' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'Complex_complex_cblinfun',X0_'A1_ell2_complex_cblinfun',X0_'Complex_a1_ell2_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'cblinfun_compose$be'(X0_'Complex_complex_cblinfun',X0_'A1_ell2_complex_cblinfun',X0_'Complex_a1_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'Complex_complex_cblinfun'=iProver_Domain_'Complex_complex_cblinfun'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'zero$an' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'zero$an'(X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'id_cblinfun$r' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'id_cblinfun$r'(X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_apply$c' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'B1_ell2',X0_'A1_ell2_b1_ell2_cblinfun',X0_'A1_ell2'] : % 32.20/8.78 ( iProver_Flat_'cblinfun_apply$c'(X0_'B1_ell2',X0_'A1_ell2_b1_ell2_cblinfun',X0_'A1_ell2') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_ell2'=iProver_Domain_'B1_ell2'_2 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_ell2'=iProver_Domain_'B1_ell2'_2 & X0_'A1_ell2'=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'zero$' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'B1_ell2'] : % 32.20/8.78 ( iProver_Flat_'zero$'(X0_'B1_ell2') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_ell2'=iProver_Domain_'B1_ell2'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'plus$h' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'A1_ell2_a1_ell2_cblinfun',X1_'A1_ell2_a1_ell2_cblinfun',X2_'A1_ell2_a1_ell2_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'plus$h'(X0_'A1_ell2_a1_ell2_cblinfun',X1_'A1_ell2_a1_ell2_cblinfun',X2_'A1_ell2_a1_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 & X1_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X2_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 & X2_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X1_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_2 ) % 32.20/8.78 & % 32.20/8.78 ( X1_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X2_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_2 & X1_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 & X2_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$bw' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'A1_ell2_b1_ell2_cblinfun',X0_'Complex_b1_ell2_cblinfun',X0_'A1_ell2_complex_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'cblinfun_compose$bw'(X0_'A1_ell2_b1_ell2_cblinfun',X0_'Complex_b1_ell2_cblinfun',X0_'A1_ell2_complex_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'A1_ell2_complex_cblinfun'!=iProver_Domain_'A1_ell2_complex_cblinfun'_1 | X0_'Complex_b1_ell2_cblinfun'!=iProver_Domain_'Complex_b1_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'A1_ell2_complex_cblinfun'!=iProver_Domain_'A1_ell2_complex_cblinfun'_2 | X0_'Complex_b1_ell2_cblinfun'!=iProver_Domain_'Complex_b1_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'Complex_b1_ell2_cblinfun'!=iProver_Domain_'Complex_b1_ell2_cblinfun'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 & X0_'Complex_b1_ell2_cblinfun'=iProver_Domain_'Complex_b1_ell2_cblinfun'_1 & X0_'A1_ell2_complex_cblinfun'=iProver_Domain_'A1_ell2_complex_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 & X0_'Complex_b1_ell2_cblinfun'=iProver_Domain_'Complex_b1_ell2_cblinfun'_1 & X0_'A1_ell2_complex_cblinfun'=iProver_Domain_'A1_ell2_complex_cblinfun'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 & X0_'Complex_b1_ell2_cblinfun'=iProver_Domain_'Complex_b1_ell2_cblinfun'_2 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'A1_ell2_complex_cblinfun'!=iProver_Domain_'A1_ell2_complex_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 & X0_'Complex_b1_ell2_cblinfun'=iProver_Domain_'Complex_b1_ell2_cblinfun'_2 & X0_'A1_ell2_complex_cblinfun'=iProver_Domain_'A1_ell2_complex_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$ds' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( iProver_Flat_'cblinfun_compose$ds'(X0_'A1_a1_a1_prod_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_a1_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun',X0_'A1_a1_a1_prod_prod_ell2_a1_a1_prod_a1_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_a1_a1_prod_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a1_prod_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'A1_a1_a1_prod_prod_ell2_a1_a1_prod_a1_prod_ell2_cblinfun'!='assoc_ell2$j' ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( 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 & X0_'A1_a1_a1_prod_prod_ell2_a1_a1_prod_a1_prod_ell2_cblinfun'='assoc_ell2$j' ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$ba' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( iProver_Flat_'cblinfun_compose$ba'(X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cadjoint$a' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( iProver_Flat_'cadjoint$a'(X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_fun',X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_fun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_fun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_fun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'!=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_fun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_fun'_1 & X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'=iProver_Domain_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'adj$s' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( iProver_Flat_'adj$s'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 & X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.78 & % 32.20/8.78 ( X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'adj$bm' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'A2_ell2_a1_a2_prod_ell2_cblinfun',X0_'A1_a2_prod_ell2_a2_ell2_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'adj$bm'(X0_'A2_ell2_a1_a2_prod_ell2_cblinfun',X0_'A1_a2_prod_ell2_a2_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A2_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_ell2_a1_a2_prod_ell2_cblinfun'_2 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'cblinfun_compose$cu' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [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'] : % 32.20/8.78 ( iProver_Flat_'cblinfun_compose$cu'(X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X1_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 & X1_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'id_cblinfun$x' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'id_cblinfun$x'(X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'vector_to_cblinfun$e' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'Complex_a3_ell2_cblinfun',X0_'A3_ell2'] : % 32.20/8.78 ( iProver_Flat_'vector_to_cblinfun$e'(X0_'Complex_a3_ell2_cblinfun',X0_'A3_ell2') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'Complex_a3_ell2_cblinfun'=iProver_Domain_'Complex_a3_ell2_cblinfun'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'A3_ell2'!=iProver_Domain_'A3_ell2'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'Complex_a3_ell2_cblinfun'=iProver_Domain_'Complex_a3_ell2_cblinfun'_1 & X0_'A3_ell2'=iProver_Domain_'A3_ell2'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'swap_ell2$b' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'] : % 32.20/8.78 ( iProver_Flat_'swap_ell2$b'(X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'tensor_ell2$e' % 32.20/8.78 fof(lit_def,axiom, % 32.20/8.78 (! [X0_'B3_b1_prod_ell2',X0_'B3_ell2',X0_'B1_ell2'] : % 32.20/8.78 ( iProver_Flat_'tensor_ell2$e'(X0_'B3_b1_prod_ell2',X0_'B3_ell2',X0_'B1_ell2') <=> % 32.20/8.78 ( % 32.20/8.78 ( % 32.20/8.78 ( X0_'B3_b1_prod_ell2'=iProver_Domain_'B3_b1_prod_ell2'_1 ) % 32.20/8.78 & % 32.20/8.78 ( X0_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 | % 32.20/8.78 ( % 32.20/8.78 ( X0_'B3_b1_prod_ell2'=iProver_Domain_'B3_b1_prod_ell2'_1 & X0_'B1_ell2'=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.78 ) % 32.20/8.78 % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ) % 32.20/8.78 ). % 32.20/8.78 % 32.20/8.78 %------ Positive definition of iProver_Flat_'tensor_op$ax' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [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'] : % 32.20/8.79 ( iProver_Flat_'tensor_op$ax'(X0_'A1_a2_prod_unit_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun',X0_'Unit_ell2_a3_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A1_a2_prod_unit_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_unit_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_apply$ai' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A3_ell2',X0_'B3_ell2_a3_ell2_cblinfun',X0_'B3_ell2'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_apply$ai'(X0_'A3_ell2',X0_'B3_ell2_a3_ell2_cblinfun',X0_'B3_ell2') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A3_ell2'=iProver_Domain_'A3_ell2'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'swap_ell2$' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'swap_ell2$'(X0_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun'_2 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_compose$bm' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A1_ell2_a1_ell2_cblinfun',X1_'A1_ell2_a1_ell2_cblinfun',X2_'A1_ell2_a1_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_compose$bm'(X0_'A1_ell2_a1_ell2_cblinfun',X1_'A1_ell2_a1_ell2_cblinfun',X2_'A1_ell2_a1_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 & X1_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 & X2_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_2 ) % 32.20/8.79 & % 32.20/8.79 ( X1_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 | X2_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_compose$eg' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'Unit_ell2_b3_ell2_cblinfun',X1_'Unit_ell2_b3_ell2_cblinfun',X0_'Unit_ell2_unit_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_compose$eg'(X0_'Unit_ell2_b3_ell2_cblinfun',X1_'Unit_ell2_b3_ell2_cblinfun',X0_'Unit_ell2_unit_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'Unit_ell2_unit_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 | X1_'Unit_ell2_b3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 & X1_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 & X0_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'adj$bn' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [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'] : % 32.20/8.79 ( iProver_Flat_'adj$bn'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_2 & X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'tensor_op$ab' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [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'] : % 32.20/8.79 ( iProver_Flat_'tensor_op$ab'(X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'B3_ell2_b3_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'B3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'B3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 & X0_'B3_ell2_b3_ell2_cblinfun'=iProver_Domain_'B3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 & X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'B3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'B3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'_1 & X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'_1 & X0_'B3_ell2_b3_ell2_cblinfun'=iProver_Domain_'B3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'tensor_op$a' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun',X0_'B3_ell2_b3_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'tensor_op$a'(X0_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun',X0_'B3_ell2_b3_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'B3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'B3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'B3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'B3_ell2_b3_ell2_cblinfun'_1 | X0_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 & X0_'B3_ell2_b3_ell2_cblinfun'=iProver_Domain_'B3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 & X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'B3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'B3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'B2_b3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 & X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 & X0_'B3_ell2_b3_ell2_cblinfun'=iProver_Domain_'B3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_compose$n' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [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'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_compose$n'(X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X1_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 & X1_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) % 32.20/8.79 & % 32.20/8.79 ( X1_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'adj$at' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'Complex_b1_ell2_cblinfun',X0_'B1_ell2_complex_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'adj$at'(X0_'Complex_b1_ell2_cblinfun',X0_'B1_ell2_complex_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'Complex_b1_ell2_cblinfun'=iProver_Domain_'Complex_b1_ell2_cblinfun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'B1_ell2_complex_cblinfun'!=iProver_Domain_'B1_ell2_complex_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'Complex_b1_ell2_cblinfun'=iProver_Domain_'Complex_b1_ell2_cblinfun'_2 & X0_'B1_ell2_complex_cblinfun'=iProver_Domain_'B1_ell2_complex_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_compose$ag' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [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'] : % 32.20/8.79 ( 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') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 & % 32.20/8.79 ( 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 ) % 32.20/8.79 & % 32.20/8.79 ( 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_'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 ) % 32.20/8.79 & % 32.20/8.79 ( 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( 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_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( 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_'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_'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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 & % 32.20/8.79 ( 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'tensor_op$bd' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A3_a1_prod_ell2_b3_a1_prod_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'tensor_op$bd'(X0_'A3_a1_prod_ell2_b3_a1_prod_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A3_a1_prod_ell2_b3_a1_prod_ell2_cblinfun'=iProver_Domain_'A3_a1_prod_ell2_b3_a1_prod_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'id_cblinfun$g' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'B2_a2_prod_ell2_b2_a2_prod_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'id_cblinfun$g'(X0_'B2_a2_prod_ell2_b2_a2_prod_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'B2_a2_prod_ell2_b2_a2_prod_ell2_cblinfun'=iProver_Domain_'B2_a2_prod_ell2_b2_a2_prod_ell2_cblinfun'_2 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'id_cblinfun$z' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'id_cblinfun$z'(X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_b1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_compose$bo' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [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'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_compose$bo'(X0_'A3_a2_prod_ell2_a3_a2_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun',X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A3_a2_prod_ell2_a3_a2_prod_ell2_cblinfun'=iProver_Domain_'A3_a2_prod_ell2_a3_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 | X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'A3_a2_prod_ell2_a3_a2_prod_ell2_cblinfun'=iProver_Domain_'A3_a2_prod_ell2_a3_a2_prod_ell2_cblinfun'_1 & X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'_1 & X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'phi$a' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A3_ell2'] : % 32.20/8.79 ( iProver_Flat_'phi$a'(X0_'A3_ell2') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A3_ell2'=iProver_Domain_'A3_ell2'_2 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_compose$ci' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'B2_ell2_b2_ell2_cblinfun',X0_'A2_a3_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a2_a3_prod_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_compose$ci'(X0_'B2_ell2_b2_ell2_cblinfun',X0_'A2_a3_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a2_a3_prod_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_2 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'tensor_ell2$v' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A1_a1_prod_ell2',X0_'A1_ell2',X1_'A1_ell2'] : % 32.20/8.79 ( iProver_Flat_'tensor_ell2$v'(X0_'A1_a1_prod_ell2',X0_'A1_ell2',X1_'A1_ell2') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A1_a1_prod_ell2'=iProver_Domain_'A1_a1_prod_ell2'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_compose$cl' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [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'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_compose$cl'(X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun',X0_'B2_ell2_a1_a2_prod_ell2_cblinfun',X0_'A1_a2_prod_ell2_b2_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 & X0_'A1_a2_prod_ell2_b2_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_2 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'A1_a2_prod_ell2_b2_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'swap_ell2$e' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'swap_ell2$e'(X0_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun'_2 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'tensor_op$o' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [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'] : % 32.20/8.79 ( iProver_Flat_'tensor_op$o'(X0_'B1_b2_prod_a2_prod_ell2_b1_b2_prod_a2_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'B1_b2_prod_a2_prod_ell2_b1_b2_prod_a2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_a2_prod_ell2_b1_b2_prod_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'B1_b2_prod_a2_prod_ell2_b1_b2_prod_a2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_a2_prod_ell2_b1_b2_prod_a2_prod_ell2_cblinfun'_1 & X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'id$c' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun'] : % 32.20/8.79 ( iProver_Flat_'id$c'(X0_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_fun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'tensor_op$bc' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun',X0_'A3_ell2_a3_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'tensor_op$bc'(X0_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun',X0_'A3_ell2_b3_ell2_cblinfun',X0_'A3_ell2_a3_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun'=iProver_Domain_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'A3_ell2_a3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'A3_ell2_a3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_2 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun'=iProver_Domain_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun'_1 & X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_2 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'A3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun'=iProver_Domain_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun'_2 & X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun'=iProver_Domain_'A3_a3_prod_ell2_b3_a3_prod_ell2_cblinfun'_2 & X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 & X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_2 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'adj$ba' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun',X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'adj$ba'(X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun',X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a3_a2_prod_ell2_cblinfun'_1 & X0_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A3_a2_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'plus$g' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A3_ell2_a3_ell2_cblinfun',X1_'A3_ell2_a3_ell2_cblinfun',X2_'A3_ell2_a3_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'plus$g'(X0_'A3_ell2_a3_ell2_cblinfun',X1_'A3_ell2_a3_ell2_cblinfun',X2_'A3_ell2_a3_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 & X1_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X2_'A3_ell2_a3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 & X2_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X1_'A3_ell2_a3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_2 ) % 32.20/8.79 & % 32.20/8.79 ( X1_'A3_ell2_a3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X2_'A3_ell2_a3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_2 & X1_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 & X2_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'tensor_ell2$c' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'B3_b3_prod_ell2',X0_'B3_ell2',X1_'B3_ell2'] : % 32.20/8.79 ( iProver_Flat_'tensor_ell2$c'(X0_'B3_b3_prod_ell2',X0_'B3_ell2',X1_'B3_ell2') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'B3_b3_prod_ell2'=iProver_Domain_'B3_b3_prod_ell2'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'adj$a' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'B2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'adj$a'(X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'B2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'adj$t' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A1_ell2_a1_ell2_cblinfun',X1_'A1_ell2_a1_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'adj$t'(X0_'A1_ell2_a1_ell2_cblinfun',X1_'A1_ell2_a1_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 & X1_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_2 ) % 32.20/8.79 & % 32.20/8.79 ( X1_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_apply$r' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [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'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_apply$r'(X0_'B1_b2_b3_prod_prod_ell2',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'B1_b2_b3_prod_prod_ell2'=iProver_Domain_'B1_b2_b3_prod_prod_ell2'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'tensor_op$al' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [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'] : % 32.20/8.79 ( iProver_Flat_'tensor_op$al'(X0_'A1_a1_a3_prod_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X0_'A1_a3_prod_ell2_a1_b3_prod_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A1_a1_a3_prod_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a3_prod_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'A1_a3_prod_ell2_a1_b3_prod_ell2_cblinfun'!=iProver_Domain_'A1_a3_prod_ell2_a1_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'A1_a1_a3_prod_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a3_prod_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun'_2 & X0_'A1_a3_prod_ell2_a1_b3_prod_ell2_cblinfun'=iProver_Domain_'A1_a3_prod_ell2_a1_b3_prod_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_compose$dq' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [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'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_compose$dq'(X0_'A1_a1_a1_prod_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_a1_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun',X0_'A1_a1_a1_prod_prod_ell2_a1_a1_prod_a1_prod_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A1_a1_a1_prod_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_a1_prod_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'A1_a1_a1_prod_prod_ell2_a1_a1_prod_a1_prod_ell2_cblinfun'!='assoc_ell2$j' ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( 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$j' ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'tensor_op$aa' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [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'] : % 32.20/8.79 ( iProver_Flat_'tensor_op$aa'(X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_ell2_unit_ell2_cblinfun',X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'Unit_ell2_unit_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 & X0_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'fun_app$o' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [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'] : % 32.20/8.79 ( iProver_Flat_'fun_app$o'(X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun',X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun_fun',X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun'_1 & X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun_fun'='cblinfun_compose$ak' & 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 & % 32.20/8.79 ( 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$ak' ) % 32.20/8.79 & % 32.20/8.79 ( X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun_fun'!='cblinfun_compose$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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( 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$ak' ) % 32.20/8.79 & % 32.20/8.79 ( X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun'_2 & X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_fun_fun'='cblinfun_compose$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'_2 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_compose$ab' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_compose$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') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( 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_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( 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_unit_a2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'Unit_a2_unit_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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 & % 32.20/8.79 ( 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 & % 32.20/8.79 ( 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 ) % 32.20/8.79 & % 32.20/8.79 ( 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_'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 ) % 32.20/8.79 & % 32.20/8.79 ( 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'adj$v' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'adj$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') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 & % 32.20/8.79 ( 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'assoc_ell2$f' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A1_a1_prod_a3_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'assoc_ell2$f'(X0_'A1_a1_prod_a3_prod_ell2_a1_a1_a3_prod_prod_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'adj$av' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A3_ell2_complex_cblinfun',X0_'Complex_a3_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'adj$av'(X0_'A3_ell2_complex_cblinfun',X0_'Complex_a3_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A3_ell2_complex_cblinfun'=iProver_Domain_'A3_ell2_complex_cblinfun'_1 & X0_'Complex_a3_ell2_cblinfun'=iProver_Domain_'Complex_a3_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'A3_ell2_complex_cblinfun'=iProver_Domain_'A3_ell2_complex_cblinfun'_2 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'Complex_a3_ell2_cblinfun'!=iProver_Domain_'Complex_a3_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_compose$bd' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'Complex_complex_cblinfun',X0_'A3_ell2_complex_cblinfun',X0_'Complex_a3_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_compose$bd'(X0_'Complex_complex_cblinfun',X0_'A3_ell2_complex_cblinfun',X0_'Complex_a3_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'Complex_complex_cblinfun'=iProver_Domain_'Complex_complex_cblinfun'_2 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'tensor_op$ac' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun',X0_'A3_ell2_a3_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'tensor_op$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') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( 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'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'A3_ell2_a3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_compose$cn' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun',X0_'A2_ell2_a1_a2_prod_ell2_cblinfun',X0_'A1_a2_prod_ell2_a2_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_compose$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') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_apply$u' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_fun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_apply$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') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'tensor_op$aw' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A1_a1_a1_prod_prod_ell2_a1_a1_a1_prod_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X0_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'tensor_op$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') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'fun_app$ac' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A1_a2_a3_prod_prod_ell2',X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_fun',X0_'A1_a2_prod_a3_prod_ell2'] : % 32.20/8.79 ( iProver_Flat_'fun_app$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') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) % 32.20/8.79 & % 32.20/8.79 ( 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 ) % 32.20/8.79 & % 32.20/8.79 ( 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 & 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 & 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'adj$bo' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'adj$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') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( 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_'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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 & % 32.20/8.79 ( 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'b12$' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'b12$'(X0_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_b1_b2_prod_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_compose$bq' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun',X1_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun',X2_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_compose$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') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_apply$ab' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'B1_b2_prod_b3_prod_ell2',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_apply$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') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'B1_b2_prod_b3_prod_ell2'=iProver_Domain_'B1_b2_prod_b3_prod_ell2'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'A1_a2_a3_prod_prod_ell2'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'B1_b2_prod_b3_prod_ell2'=iProver_Domain_'B1_b2_prod_b3_prod_ell2'_1 & X0_'A1_a2_a3_prod_prod_ell2'=iProver_Domain_'A1_a2_a3_prod_prod_ell2'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'heterogenous_cblinfun_id$k' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A2_a3_prod_ell2_a2_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'heterogenous_cblinfun_id$k'(X0_'A2_a3_prod_ell2_a2_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A2_a3_prod_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_compose$f' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'Unit_ell2_unit_ell2_cblinfun',X1_'Unit_ell2_unit_ell2_cblinfun',X2_'Unit_ell2_unit_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_compose$f'(X0_'Unit_ell2_unit_ell2_cblinfun',X1_'Unit_ell2_unit_ell2_cblinfun',X2_'Unit_ell2_unit_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X1_'Unit_ell2_unit_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X2_'Unit_ell2_unit_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( 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'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 & X2_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'plus$m' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X2_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'plus$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') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 & % 32.20/8.79 ( X2_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'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 ) % 32.20/8.79 & % 32.20/8.79 ( X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) % 32.20/8.79 & % 32.20/8.79 ( X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X2_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( 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 & X2_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_compose$ef' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'Unit_ell2_b1_ell2_cblinfun',X1_'Unit_ell2_b1_ell2_cblinfun',X0_'Unit_ell2_unit_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_compose$ef'(X0_'Unit_ell2_b1_ell2_cblinfun',X1_'Unit_ell2_b1_ell2_cblinfun',X0_'Unit_ell2_unit_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_2 ) % 32.20/8.79 & % 32.20/8.79 ( 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'assoc_ell2$a' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'assoc_ell2$a'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'zero$k' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'Unit_ell2_a1_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'zero$k'(X0_'Unit_ell2_a1_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_2 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'butterfly$y' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'Unit_ell2_a3_ell2_cblinfun',X0_'A3_ell2',X0_'Unit_ell2'] : % 32.20/8.79 ( iProver_Flat_'butterfly$y'(X0_'Unit_ell2_a3_ell2_cblinfun',X0_'A3_ell2',X0_'Unit_ell2') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_compose$cr' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_compose$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') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 & % 32.20/8.79 ( 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 & % 32.20/8.79 ( 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( 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 & 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'tensor_op$at' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A1_a1_a1_prod_prod_ell2_a1_a1_b1_prod_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X0_'A1_a1_prod_ell2_a1_b1_prod_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'tensor_op$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') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'tensor_op$u' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun',X0_'A3_ell2_unit_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'tensor_op$u'(X0_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun',X0_'A3_ell2_unit_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'A3_ell2_unit_ell2_cblinfun'!=iProver_Domain_'A3_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun'_2 & X0_'A3_ell2_unit_ell2_cblinfun'=iProver_Domain_'A3_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_apply$k' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'B2_ell2_b2_ell2_fun',X0_'B2_ell2_b2_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_apply$k'(X0_'B2_ell2_b2_ell2_fun',X0_'B2_ell2_b2_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'B2_ell2_b2_ell2_fun'=iProver_Domain_'B2_ell2_b2_ell2_fun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'B2_ell2_b2_ell2_fun'=iProver_Domain_'B2_ell2_b2_ell2_fun'_1 & X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_compose$bp' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A2_a1_prod_ell2_a2_a1_prod_ell2_cblinfun',X0_'A1_a2_prod_ell2_a2_a1_prod_ell2_cblinfun',X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_compose$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') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A2_a1_prod_ell2_a2_a1_prod_ell2_cblinfun'=iProver_Domain_'A2_a1_prod_ell2_a2_a1_prod_ell2_cblinfun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'!=iProver_Domain_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'A2_a1_prod_ell2_a2_a1_prod_ell2_cblinfun'=iProver_Domain_'A2_a1_prod_ell2_a2_a1_prod_ell2_cblinfun'_1 & X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'adj$aa' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun',X1_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'adj$aa'(X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun',X1_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'_2 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'assoc_ell20$c' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_fun'] : % 32.20/8.79 ( iProver_Flat_'assoc_ell20$c'(X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_fun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'id$i' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A2_ell2_a2_ell2_fun'] : % 32.20/8.79 ( iProver_Flat_'id$i'(X0_'A2_ell2_a2_ell2_fun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A2_ell2_a2_ell2_fun'=iProver_Domain_'A2_ell2_a2_ell2_fun'_2 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_compose$af' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X1_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_compose$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') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 & % 32.20/8.79 ( 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 ) % 32.20/8.79 & % 32.20/8.79 ( 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( 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'_2 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'heterogenous_cblinfun_id$m' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A1_a2_prod_ell2_a2_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'heterogenous_cblinfun_id$m'(X0_'A1_a2_prod_ell2_a2_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A1_a2_prod_ell2_a2_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'plus$r' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A2_ell2_a2_ell2_cblinfun',X1_'A2_ell2_a2_ell2_cblinfun',X2_'A2_ell2_a2_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'plus$r'(X0_'A2_ell2_a2_ell2_cblinfun',X1_'A2_ell2_a2_ell2_cblinfun',X2_'A2_ell2_a2_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 & % 32.20/8.79 ( X2_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 & % 32.20/8.79 ( X1_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_2 ) % 32.20/8.79 & % 32.20/8.79 ( X1_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X2_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( 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 & X2_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_compose$ck' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A2_ell2_a2_ell2_cblinfun',X0_'A2_a3_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_a2_a3_prod_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_compose$ck'(X0_'A2_ell2_a2_ell2_cblinfun',X0_'A2_a3_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_a2_a3_prod_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_2 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'assoc_ell20$b' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_fun'] : % 32.20/8.79 ( iProver_Flat_'assoc_ell20$b'(X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_fun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_apply$w' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_fun',X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_apply$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') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 & % 32.20/8.79 ( 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( 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 & 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_compose$eh' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'Unit_ell2_a1_ell2_cblinfun',X1_'Unit_ell2_a1_ell2_cblinfun',X0_'Unit_ell2_unit_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_compose$eh'(X0_'Unit_ell2_a1_ell2_cblinfun',X1_'Unit_ell2_a1_ell2_cblinfun',X0_'Unit_ell2_unit_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_2 ) % 32.20/8.79 & % 32.20/8.79 ( 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'phi$' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'B3_ell2'] : % 32.20/8.79 ( iProver_Flat_'phi$'(X0_'B3_ell2') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'B3_ell2'=iProver_Domain_'B3_ell2'_2 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_inv$d' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'B1_b2_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_b1_b2_prod_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_inv$d'(X0_'B1_b2_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_b1_b2_prod_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'B1_b2_prod_ell2_b2_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'adj$bf' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'B3_ell2_complex_cblinfun',X0_'Complex_b3_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'adj$bf'(X0_'B3_ell2_complex_cblinfun',X0_'Complex_b3_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'B3_ell2_complex_cblinfun'=iProver_Domain_'B3_ell2_complex_cblinfun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'Complex_b3_ell2_cblinfun'!=iProver_Domain_'Complex_b3_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'B3_ell2_complex_cblinfun'=iProver_Domain_'B3_ell2_complex_cblinfun'_1 & X0_'Complex_b3_ell2_cblinfun'=iProver_Domain_'Complex_b3_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'adj$g' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'B2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun',X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'adj$g'(X0_'B2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun',X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'B2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'=iProver_Domain_'B2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_compose$eo' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'Unit_ell2_b3_ell2_cblinfun',X0_'B1_ell2_b3_ell2_cblinfun',X0_'Unit_ell2_b1_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_compose$eo'(X0_'Unit_ell2_b3_ell2_cblinfun',X0_'B1_ell2_b3_ell2_cblinfun',X0_'Unit_ell2_b1_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_compose$bv' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A3_ell2_b3_ell2_cblinfun',X0_'Complex_b3_ell2_cblinfun',X0_'A3_ell2_complex_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_compose$bv'(X0_'A3_ell2_b3_ell2_cblinfun',X0_'Complex_b3_ell2_cblinfun',X0_'A3_ell2_complex_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 & X0_'Complex_b3_ell2_cblinfun'=iProver_Domain_'Complex_b3_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_2 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'Complex_b3_ell2_cblinfun'!=iProver_Domain_'Complex_b3_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_compose$ay' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'B3_ell2_a1_ell2_cblinfun',X0_'Unit_ell2_a1_ell2_cblinfun',X0_'B3_ell2_unit_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_compose$ay'(X0_'B3_ell2_a1_ell2_cblinfun',X0_'Unit_ell2_a1_ell2_cblinfun',X0_'B3_ell2_unit_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'B3_ell2_a1_ell2_cblinfun'=iProver_Domain_'B3_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'B3_ell2_unit_ell2_cblinfun'!=iProver_Domain_'B3_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'B3_ell2_unit_ell2_cblinfun'!=iProver_Domain_'B3_ell2_unit_ell2_cblinfun'_1 | X0_'Unit_ell2_a1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'Unit_ell2_a1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'B3_ell2_a1_ell2_cblinfun'=iProver_Domain_'B3_ell2_a1_ell2_cblinfun'_1 & X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 & X0_'B3_ell2_unit_ell2_cblinfun'=iProver_Domain_'B3_ell2_unit_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'tensor_ell2$q' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'B1_b2_prod_ell2',X0_'B1_ell2',X0_'B2_ell2'] : % 32.20/8.79 ( iProver_Flat_'tensor_ell2$q'(X0_'B1_b2_prod_ell2',X0_'B1_ell2',X0_'B2_ell2') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'B1_b2_prod_ell2'=iProver_Domain_'B1_b2_prod_ell2'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'tensor_ell2$w' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A1_b3_prod_ell2',X0_'A1_ell2',X0_'B3_ell2'] : % 32.20/8.79 ( iProver_Flat_'tensor_ell2$w'(X0_'A1_b3_prod_ell2',X0_'A1_ell2',X0_'B3_ell2') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A1_b3_prod_ell2'=iProver_Domain_'A1_b3_prod_ell2'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_apply$ao' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A1_ell2',X0_'B3_ell2_a1_ell2_cblinfun',X0_'B3_ell2'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_apply$ao'(X0_'A1_ell2',X0_'B3_ell2_a1_ell2_cblinfun',X0_'B3_ell2') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A1_ell2'=iProver_Domain_'A1_ell2'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'B3_ell2'!=iProver_Domain_'B3_ell2'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'A1_ell2'=iProver_Domain_'A1_ell2'_1 & X0_'B3_ell2'=iProver_Domain_'B3_ell2'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'tensor_op$n' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'B1_b2_prod_b2_prod_ell2_b1_b2_prod_b2_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'tensor_op$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') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'plus$d' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A3_ell2_b3_ell2_cblinfun',X1_'A3_ell2_b3_ell2_cblinfun',X2_'A3_ell2_b3_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'plus$d'(X0_'A3_ell2_b3_ell2_cblinfun',X1_'A3_ell2_b3_ell2_cblinfun',X2_'A3_ell2_b3_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_2 ) % 32.20/8.79 & % 32.20/8.79 ( X2_'A3_ell2_b3_ell2_cblinfun'!=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'zero$d' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A3_ell2_b3_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'zero$d'(X0_'A3_ell2_b3_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'zero$aa' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'zero$aa'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_apply$af' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_b1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_apply$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') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 & % 32.20/8.79 ( 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_inv$k' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'Complex_a3_ell2_cblinfun',X0_'A3_ell2_complex_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_inv$k'(X0_'Complex_a3_ell2_cblinfun',X0_'A3_ell2_complex_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'Complex_a3_ell2_cblinfun'=iProver_Domain_'Complex_a3_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_compose$du' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A1_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_prod_unit_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_unit_prod_prod_ell2_a1_a2_prod_unit_prod_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_compose$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') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( 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_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 & X0_'A1_a2_unit_prod_prod_ell2_a1_a2_prod_unit_prod_ell2_cblinfun'='assoc_ell2$l' ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'A1_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_2 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'A1_a2_prod_unit_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_unit_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'_1 | X0_'A1_a2_unit_prod_prod_ell2_a1_a2_prod_unit_prod_ell2_cblinfun'!='assoc_ell2$l' ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'zero$q' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A1_b1_prod_ell2'] : % 32.20/8.79 ( iProver_Flat_'zero$q'(X0_'A1_b1_prod_ell2') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A1_b1_prod_ell2'=iProver_Domain_'A1_b1_prod_ell2'_2 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_apply$al' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'B1_ell2',X0_'A3_ell2_b1_ell2_cblinfun',X0_'A3_ell2'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_apply$al'(X0_'B1_ell2',X0_'A3_ell2_b1_ell2_cblinfun',X0_'A3_ell2') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'B1_ell2'=iProver_Domain_'B1_ell2'_1 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'A3_ell2'!=iProver_Domain_'A3_ell2'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'B1_ell2'=iProver_Domain_'B1_ell2'_1 & X0_'A3_ell2'=iProver_Domain_'A3_ell2'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_compose$bc' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'Complex_complex_cblinfun',X0_'B1_ell2_complex_cblinfun',X0_'Complex_b1_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_compose$bc'(X0_'Complex_complex_cblinfun',X0_'B1_ell2_complex_cblinfun',X0_'Complex_b1_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'Complex_complex_cblinfun'=iProver_Domain_'Complex_complex_cblinfun'_2 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'tensor_op$r' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'B2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun',X0_'Unit_ell2_a3_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'tensor_op$r'(X0_'B2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun',X0_'Unit_ell2_a3_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'B2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'B2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cadjoint$' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_fun',X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_fun'] : % 32.20/8.79 ( iProver_Flat_'cadjoint$'(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') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 & % 32.20/8.79 ( 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'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( 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'_2 & 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'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'tensor_ell2$s' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A1_a2_prod_ell2',X0_'A1_ell2',X0_'A2_ell2'] : % 32.20/8.79 ( iProver_Flat_'tensor_ell2$s'(X0_'A1_a2_prod_ell2',X0_'A1_ell2',X0_'A2_ell2') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A1_a2_prod_ell2'=iProver_Domain_'A1_a2_prod_ell2'_2 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'heterogenous_cblinfun_id$b' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'B1_ell2_b1_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'heterogenous_cblinfun_id$b'(X0_'B1_ell2_b1_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'B1_ell2_b1_ell2_cblinfun'=iProver_Domain_'B1_ell2_b1_ell2_cblinfun'_2 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_compose$t' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X1_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X2_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_compose$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') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'tensor_ell2$n' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'B1_b2_b3_prod_prod_ell2',X0_'B1_ell2',X0_'B2_b3_prod_ell2'] : % 32.20/8.79 ( iProver_Flat_'tensor_ell2$n'(X0_'B1_b2_b3_prod_prod_ell2',X0_'B1_ell2',X0_'B2_b3_prod_ell2') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'B1_b2_b3_prod_prod_ell2'=iProver_Domain_'B1_b2_b3_prod_prod_ell2'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'adj$ad' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A3_ell2_b3_ell2_cblinfun',X0_'B3_ell2_a3_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'adj$ad'(X0_'A3_ell2_b3_ell2_cblinfun',X0_'B3_ell2_a3_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 & X0_'B3_ell2_a3_ell2_cblinfun'=iProver_Domain_'B3_ell2_a3_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_2 ) % 32.20/8.79 & % 32.20/8.79 ( X0_'B3_ell2_a3_ell2_cblinfun'!=iProver_Domain_'B3_ell2_a3_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'c$' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'c$'(X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'cblinfun_compose$bj' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'cblinfun_compose$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') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( 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 ) % 32.20/8.79 & % 32.20/8.79 ( 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 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 | % 32.20/8.79 ( % 32.20/8.79 ( 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_unit_b2_unit_prod_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'_1 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'zero$z' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'] : % 32.20/8.79 ( iProver_Flat_'zero$z'(X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) % 32.20/8.79 ) % 32.20/8.79 % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ) % 32.20/8.79 ). % 32.20/8.79 % 32.20/8.79 %------ Positive definition of iProver_Flat_'vector_to_cblinfun$d' % 32.20/8.79 fof(lit_def,axiom, % 32.20/8.79 (! [X0_'Complex_b3_ell2_cblinfun',X0_'B3_ell2'] : % 32.20/8.79 ( iProver_Flat_'vector_to_cblinfun$d'(X0_'Complex_b3_ell2_cblinfun',X0_'B3_ell2') <=> % 32.20/8.79 ( % 32.20/8.79 ( % 32.20/8.79 ( X0_'Complex_b3_ell2_cblinfun'=iProver_Domain_'Complex_b3_ell2_cblinfun'_1 ) % 32.20/8.80 ) % 32.20/8.80 % 32.20/8.80 ) % 32.20/8.80 ) % 32.20/8.80 ) % 32.20/8.80 ). % 32.20/8.80 % 32.20/8.80 %------ Positive definition of iProver_Flat_'cblinfun_compose$bx' % 32.20/8.80 fof(lit_def,axiom, % 32.20/8.80 (! [X0_'A2_ell2_a2_ell2_cblinfun',X0_'Complex_a2_ell2_cblinfun',X0_'A2_ell2_complex_cblinfun'] : % 32.20/8.80 ( iProver_Flat_'cblinfun_compose$bx'(X0_'A2_ell2_a2_ell2_cblinfun',X0_'Complex_a2_ell2_cblinfun',X0_'A2_ell2_complex_cblinfun') <=> % 32.20/8.80 ( % 32.20/8.80 ( % 32.20/8.80 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 32.20/8.80 & % 32.20/8.80 ( X0_'A2_ell2_complex_cblinfun'!=iProver_Domain_'A2_ell2_complex_cblinfun'_1 ) % 32.20/8.80 ) % 32.20/8.80 % 32.20/8.80 | % 32.20/8.80 ( % 32.20/8.80 ( 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 ) % 32.20/8.80 ) % 32.20/8.80 % 32.20/8.80 ) % 32.20/8.80 ) % 32.20/8.80 ) % 32.20/8.80 ). % 32.20/8.80 % 32.20/8.80 %------ Positive definition of iProver_Flat_'zero$at' % 32.20/8.80 fof(lit_def,axiom, % 32.20/8.80 (! [X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : % 32.20/8.80 ( iProver_Flat_'zero$at'(X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> % 32.20/8.80 ( % 32.20/8.80 ( % 32.20/8.80 ( 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 ) % 32.20/8.80 ) % 32.20/8.80 % 32.20/8.80 ) % 32.20/8.80 ) % 32.20/8.80 ) % 32.20/8.80 ). % 32.20/8.80 % 32.20/8.80 %------ Positive definition of iProver_Flat_'cblinfun_compose$et' % 32.20/8.80 fof(lit_def,axiom, % 32.20/8.80 (! [X0_'Unit_ell2_a1_ell2_cblinfun',X0_'B3_ell2_a1_ell2_cblinfun',X0_'Unit_ell2_b3_ell2_cblinfun'] : % 32.20/8.80 ( iProver_Flat_'cblinfun_compose$et'(X0_'Unit_ell2_a1_ell2_cblinfun',X0_'B3_ell2_a1_ell2_cblinfun',X0_'Unit_ell2_b3_ell2_cblinfun') <=> % 32.20/8.80 ( % 32.20/8.80 ( % 32.20/8.80 ( X0_'Unit_ell2_a1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a1_ell2_cblinfun'_1 ) % 32.20/8.80 & % 32.20/8.80 ( X0_'Unit_ell2_b3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.80 ) % 32.20/8.80 % 32.20/8.80 | % 32.20/8.80 ( % 32.20/8.80 ( 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 ) % 32.20/8.80 ) % 32.20/8.80 % 32.20/8.80 ) % 32.20/8.80 ) % 32.20/8.80 ) % 32.20/8.80 ). % 32.20/8.80 % 32.20/8.80 %------ Positive definition of iProver_Flat_'heterogenous_cblinfun_id$f' % 32.20/8.80 fof(lit_def,axiom, % 32.20/8.80 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'] : % 32.20/8.80 ( iProver_Flat_'heterogenous_cblinfun_id$f'(X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun') <=> % 32.20/8.80 ( % 32.20/8.80 ( % 32.20/8.80 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.80 ) % 32.20/8.80 % 32.20/8.80 ) % 32.20/8.80 ) % 32.20/8.80 ) % 32.20/8.80 ). % 32.20/8.80 % 32.20/8.80 %------ Positive definition of iProver_Flat_'zero$ao' % 32.20/8.80 fof(lit_def,axiom, % 32.20/8.80 (! [X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : % 32.20/8.80 ( iProver_Flat_'zero$ao'(X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> % 32.20/8.80 ( % 32.20/8.80 ( % 32.20/8.80 ( 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 ) % 32.20/8.80 ) % 32.20/8.80 % 32.20/8.80 ) % 32.20/8.80 ) % 32.20/8.80 ) % 32.20/8.80 ). % 32.20/8.80 % 32.20/8.80 %------ Positive definition of iProver_Flat_'cblinfun_inv$p' % 32.20/8.80 fof(lit_def,axiom, % 32.20/8.80 (! [X0_'A1_ell2_complex_cblinfun',X0_'Complex_a1_ell2_cblinfun'] : % 32.20/8.80 ( iProver_Flat_'cblinfun_inv$p'(X0_'A1_ell2_complex_cblinfun',X0_'Complex_a1_ell2_cblinfun') <=> % 32.20/8.80 ( % 32.20/8.80 ( % 32.20/8.80 ( X0_'A1_ell2_complex_cblinfun'=iProver_Domain_'A1_ell2_complex_cblinfun'_1 ) % 32.20/8.80 ) % 32.20/8.80 % 32.20/8.80 ) % 32.20/8.80 ) % 32.20/8.80 ) % 32.20/8.80 ). % 32.20/8.80 % 32.20/8.80 %------ Positive definition of iProver_Flat_'phi_n$a' % 32.20/8.80 fof(lit_def,axiom, % 32.20/8.80 (! [X0_'A3_ell2'] : % 32.20/8.80 ( iProver_Flat_'phi_n$a'(X0_'A3_ell2') <=> % 32.20/8.80 ( % 32.20/8.80 ( % 32.20/8.80 ( X0_'A3_ell2'=iProver_Domain_'A3_ell2'_1 ) % 32.20/8.80 ) % 32.20/8.80 % 32.20/8.80 ) % 32.20/8.80 ) % 32.20/8.80 ) % 32.20/8.80 ). % 32.20/8.80 % 32.20/8.80 %------ Positive definition of iProver_Flat_'adj$bj' % 32.20/8.80 fof(lit_def,axiom, % 32.20/8.80 (! [X0_'B2_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_b2_ell2_cblinfun'] : % 32.20/8.80 ( iProver_Flat_'adj$bj'(X0_'B2_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_b2_ell2_cblinfun') <=> % 32.20/8.80 ( % 32.20/8.80 ( % 32.20/8.80 ( X0_'B2_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'B2_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 32.20/8.80 ) % 32.20/8.80 % 32.20/8.80 ) % 32.20/8.80 ) % 32.20/8.80 ) % 32.20/8.80 ). % 32.20/8.80 % 32.20/8.80 %------ Positive definition of iProver_Flat_'cblinfun_apply$ae' % 32.20/8.80 fof(lit_def,axiom, % 32.20/8.80 (! [X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_b1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : % 32.20/8.80 ( iProver_Flat_'cblinfun_apply$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') <=> % 32.20/8.80 ( % 32.20/8.80 ( % 32.20/8.80 ( 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 ) % 32.20/8.80 & % 32.20/8.80 ( 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'_1 ) % 32.20/8.80 & % 32.20/8.80 ( 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 ) % 32.20/8.80 ) % 32.20/8.80 % 32.20/8.80 | % 32.20/8.80 ( % 32.20/8.80 ( 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_'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'_1 ) % 32.20/8.80 ) % 32.20/8.80 % 32.20/8.80 | % 32.20/8.80 ( % 32.20/8.80 ( 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_'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 ) % 32.20/8.80 ) % 32.20/8.80 % 32.20/8.80 ) % 32.20/8.80 ) % 32.20/8.80 ) % 32.20/8.80 ). % 32.20/8.80 % 32.20/8.80 %------ Positive definition of iProver_Flat_'swap_ell2$d' % 32.20/8.80 fof(lit_def,axiom, % 32.20/8.80 (! [X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'] : % 32.20/8.80 ( iProver_Flat_'swap_ell2$d'(X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun') <=> % 32.20/8.80 ( % 32.20/8.80 ( % 32.20/8.80 ( X0_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a1_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) % 32.20/8.80 ) % 32.20/8.80 % 32.20/8.80 ) % 32.20/8.80 ) % 32.20/8.80 ) % 32.20/8.80 ). % 32.20/8.80 % 32.20/8.80 %------ Positive definition of iProver_Flat_'cblinfun_compose$h' % 32.20/8.80 fof(lit_def,axiom, % 32.20/8.80 (! [X0_'A2_ell2_a2_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun',X0_'A2_ell2_b2_ell2_cblinfun'] : % 32.20/8.80 ( iProver_Flat_'cblinfun_compose$h'(X0_'A2_ell2_a2_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun',X0_'A2_ell2_b2_ell2_cblinfun') <=> % 32.20/8.80 ( % 32.20/8.80 ( % 32.20/8.80 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_2 ) % 32.20/8.80 ) % 32.20/8.80 % 32.20/8.80 ) % 32.20/8.80 ) % 32.20/8.80 ) % 32.20/8.80 ). % 32.20/8.80 % 32.20/8.80 %------ Positive definition of iProver_Flat_'plus$f' % 32.20/8.80 fof(lit_def,axiom, % 32.20/8.80 (! [X0_'A1_ell2_b1_ell2_cblinfun',X1_'A1_ell2_b1_ell2_cblinfun',X2_'A1_ell2_b1_ell2_cblinfun'] : % 32.20/8.80 ( iProver_Flat_'plus$f'(X0_'A1_ell2_b1_ell2_cblinfun',X1_'A1_ell2_b1_ell2_cblinfun',X2_'A1_ell2_b1_ell2_cblinfun') <=> % 32.20/8.80 ( % 32.20/8.80 ( % 32.20/8.80 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.80 & % 32.20/8.80 ( X1_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.80 & % 32.20/8.80 ( X2_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.80 ) % 32.20/8.80 % 32.20/8.80 | % 32.20/8.80 ( % 32.20/8.80 ( 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 ) % 32.20/8.80 ) % 32.20/8.80 % 32.20/8.80 | % 32.20/8.80 ( % 32.20/8.80 ( 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 ) % 32.20/8.80 & % 32.20/8.80 ( X2_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.80 ) % 32.20/8.80 % 32.20/8.80 | % 32.20/8.80 ( % 32.20/8.80 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_2 & X2_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.80 & % 32.20/8.80 ( X1_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) % 32.20/8.80 ) % 32.20/8.80 % 32.20/8.80 ) % 32.20/8.80 ) % 32.20/8.80 ) % 32.20/8.80 ). % 32.20/8.80 % 32.20/8.80 %------ Positive definition of iProver_Flat_'zero$h' % 32.20/8.80 fof(lit_def,axiom, % 32.20/8.80 (! [X0_'A1_ell2_a1_ell2_cblinfun'] : % 32.20/8.80 ( iProver_Flat_'zero$h'(X0_'A1_ell2_a1_ell2_cblinfun') <=> % 32.20/8.80 ( % 32.20/8.80 ( % 32.20/8.80 ( X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_2 ) % 32.20/8.80 ) % 32.20/8.80 % 32.20/8.80 ) % 32.20/8.80 ) % 32.20/8.80 ) % 32.20/8.80 ). % 32.20/8.80 % 32.20/8.80 %------ Positive definition of iProver_Flat_'zero$j' % 32.20/8.80 fof(lit_def,axiom, % 32.20/8.80 (! [X0_'Unit_ell2_b3_ell2_cblinfun'] : % 32.20/8.80 ( iProver_Flat_'zero$j'(X0_'Unit_ell2_b3_ell2_cblinfun') <=> % 32.20/8.80 ( % 32.20/8.80 ( % 32.20/8.80 ( X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) % 32.20/8.80 ) % 32.20/8.80 % 32.20/8.80 ) % 32.20/8.80 ) % 32.20/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'heterogenous_cblinfun_id$i' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A2_ell2_a2_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'heterogenous_cblinfun_id$i'(X0_'A2_ell2_a2_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'adj$bp' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'adj$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'heterogenous_cblinfun_id$n' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A2_ell2_b2_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'heterogenous_cblinfun_id$n'(X0_'A2_ell2_b2_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'A2_ell2_b2_ell2_cblinfun'=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'plus$k' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'Unit_ell2_a3_ell2_cblinfun',X1_'Unit_ell2_a3_ell2_cblinfun',X2_'Unit_ell2_a3_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'plus$k'(X0_'Unit_ell2_a3_ell2_cblinfun',X1_'Unit_ell2_a3_ell2_cblinfun',X2_'Unit_ell2_a3_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 & % 64.05/8.80 ( X2_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) % 64.05/8.80 & % 64.05/8.80 ( X2_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_2 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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'_2 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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'_2 & X2_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( X0_'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 ) % 64.05/8.80 & % 64.05/8.80 ( X1_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) % 64.05/8.80 & % 64.05/8.80 ( X1_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_2 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_2 ) % 64.05/8.80 & % 64.05/8.80 ( X1_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) % 64.05/8.80 & % 64.05/8.80 ( 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'_2 ) % 64.05/8.80 & % 64.05/8.80 ( X1_'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 ) % 64.05/8.80 & % 64.05/8.80 ( X2_'Unit_ell2_a3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_2 & 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'tensor_op$ap' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A1_a3_prod_ell2_a1_a3_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X0_'A3_ell2_a3_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'tensor_op$ap'(X0_'A1_a3_prod_ell2_a1_a3_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X0_'A3_ell2_a3_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'A1_a3_prod_ell2_a1_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a3_prod_ell2_a1_a3_prod_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'sandwich$d' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'sandwich$d'(X0_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 & % 64.05/8.80 ( X0_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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 & X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'cblinfun_compose$bg' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A3_ell2_a3_ell2_cblinfun',X0_'Complex_a3_ell2_cblinfun',X0_'A3_ell2_complex_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'cblinfun_compose$bg'(X0_'A3_ell2_a3_ell2_cblinfun',X0_'Complex_a3_ell2_cblinfun',X0_'A3_ell2_complex_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 & X0_'Complex_a3_ell2_cblinfun'=iProver_Domain_'Complex_a3_ell2_cblinfun'_1 ) % 64.05/8.80 & % 64.05/8.80 ( X0_'A3_ell2_complex_cblinfun'!=iProver_Domain_'A3_ell2_complex_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 & X0_'A3_ell2_complex_cblinfun'=iProver_Domain_'A3_ell2_complex_cblinfun'_1 ) % 64.05/8.80 & % 64.05/8.80 ( X0_'Complex_a3_ell2_cblinfun'!=iProver_Domain_'Complex_a3_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_2 ) % 64.05/8.80 & % 64.05/8.80 ( X0_'Complex_a3_ell2_cblinfun'!=iProver_Domain_'Complex_a3_ell2_cblinfun'_1 ) % 64.05/8.80 & % 64.05/8.80 ( X0_'A3_ell2_complex_cblinfun'!=iProver_Domain_'A3_ell2_complex_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_2 & X0_'Complex_a3_ell2_cblinfun'=iProver_Domain_'Complex_a3_ell2_cblinfun'_1 & X0_'A3_ell2_complex_cblinfun'=iProver_Domain_'A3_ell2_complex_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'cblinfun_compose$bs' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'cblinfun_compose$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'_1 ) % 64.05/8.80 & % 64.05/8.80 ( X0_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'_2 & X0_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'tensor_ell2$p' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'B1_b2_prod_b3_prod_ell2',X0_'B1_b2_prod_ell2',X0_'B3_ell2'] : % 64.05/8.80 ( iProver_Flat_'tensor_ell2$p'(X0_'B1_b2_prod_b3_prod_ell2',X0_'B1_b2_prod_ell2',X0_'B3_ell2') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'B1_b2_prod_b3_prod_ell2'=iProver_Domain_'B1_b2_prod_b3_prod_ell2'_1 & X0_'B1_b2_prod_ell2'=iProver_Domain_'B1_b2_prod_ell2'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( X0_'B1_b2_prod_b3_prod_ell2'=iProver_Domain_'B1_b2_prod_b3_prod_ell2'_2 ) % 64.05/8.80 & % 64.05/8.80 ( X0_'B1_b2_prod_ell2'!=iProver_Domain_'B1_b2_prod_ell2'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'fun_app$l' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun',X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'fun_app$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 & % 64.05/8.80 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) % 64.05/8.80 & % 64.05/8.80 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_2 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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'_2 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 & % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 & % 64.05/8.80 ( 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 ) % 64.05/8.80 & % 64.05/8.80 ( 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 ) % 64.05/8.80 & % 64.05/8.80 ( 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'_2 ) % 64.05/8.80 & % 64.05/8.80 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'zero$r' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A1_a1_prod_ell2'] : % 64.05/8.80 ( iProver_Flat_'zero$r'(X0_'A1_a1_prod_ell2') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'A1_a1_prod_ell2'=iProver_Domain_'A1_a1_prod_ell2'_2 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'id_cblinfun$y' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'id_cblinfun$y'(X0_'A1_a2_prod_a3_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'zero$aj' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'zero$aj'(X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'cblinfun_apply$x' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'B1_b2_b3_prod_prod_ell2',X0_'B1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X1_'B1_b2_b3_prod_prod_ell2'] : % 64.05/8.80 ( iProver_Flat_'cblinfun_apply$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'B1_b2_b3_prod_prod_ell2'=iProver_Domain_'B1_b2_b3_prod_prod_ell2'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'tensor_ell2$a' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A2_unit_prod_ell2',X0_'A2_ell2',X0_'Unit_ell2'] : % 64.05/8.80 ( iProver_Flat_'tensor_ell2$a'(X0_'A2_unit_prod_ell2',X0_'A2_ell2',X0_'Unit_ell2') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'A2_unit_prod_ell2'=iProver_Domain_'A2_unit_prod_ell2'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'sandwich$b' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_a1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun_cblinfun',X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'sandwich$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 & % 64.05/8.80 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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 & X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'heterogenous_cblinfun_id$c' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A3_ell2_a3_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'heterogenous_cblinfun_id$c'(X0_'A3_ell2_a3_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'A3_ell2_a3_ell2_cblinfun'=iProver_Domain_'A3_ell2_a3_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'tensor_op$as' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A1_a1_prod_a1_prod_ell2_a1_a1_prod_b1_prod_ell2_cblinfun',X0_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun',X0_'A1_ell2_b1_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'tensor_op$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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'_2 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'adj$az' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'adj$az'(X0_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun'_1 ) % 64.05/8.80 & % 64.05/8.80 ( X0_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( X0_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'B2_b1_prod_ell2_b1_b2_prod_ell2_cblinfun'_2 & X0_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'heterogenous_cblinfun_id$a' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'heterogenous_cblinfun_id$a'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'adj$an' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'adj$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'zero$i' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'Unit_ell2_b1_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'zero$i'(X0_'Unit_ell2_b1_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_2 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'plus$ac' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X2_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'plus$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 & % 64.05/8.80 ( 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 | X2_'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 ) % 64.05/8.80 & % 64.05/8.80 ( X2_'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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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 & X2_'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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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 & X2_'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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'id$h' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'B2_ell2_b2_ell2_fun'] : % 64.05/8.80 ( iProver_Flat_'id$h'(X0_'B2_ell2_b2_ell2_fun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'B2_ell2_b2_ell2_fun'=iProver_Domain_'B2_ell2_b2_ell2_fun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'sandwich$h' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'sandwich$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 & % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'cblinfun_compose$d' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'B2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X1_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'cblinfun_compose$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_2 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'cblinfun_compose$cx' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'cblinfun_compose$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'zero$c' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A3_ell2'] : % 64.05/8.80 ( iProver_Flat_'zero$c'(X0_'A3_ell2') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'A3_ell2'=iProver_Domain_'A3_ell2'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'cblinfun_compose$eb' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'cblinfun_compose$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 & % 64.05/8.80 ( 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 ) % 64.05/8.80 & % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 & % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'id_cblinfun$u' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'B2_b1_prod_ell2_b2_b1_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'id_cblinfun$u'(X0_'B2_b1_prod_ell2_b2_b1_prod_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'B2_b1_prod_ell2_b2_b1_prod_ell2_cblinfun'=iProver_Domain_'B2_b1_prod_ell2_b2_b1_prod_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'cblinfun_inv$e' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'B1_b2_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_b1_b2_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'cblinfun_inv$e'(X0_'B1_b2_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_b1_b2_prod_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'B1_b2_prod_ell2_a2_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_a2_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'sandwich$f' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun_b1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'sandwich$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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'_1 ) % 64.05/8.80 & % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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 & 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'sandwich$g' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_b1_b2_b3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'sandwich$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'cblinfun_apply$ap' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_fun',X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'cblinfun_apply$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'cblinfun_compose$aw' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A3_ell2_b3_ell2_cblinfun',X0_'Unit_ell2_b3_ell2_cblinfun',X0_'A3_ell2_unit_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'cblinfun_compose$aw'(X0_'A3_ell2_b3_ell2_cblinfun',X0_'Unit_ell2_b3_ell2_cblinfun',X0_'A3_ell2_unit_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'A3_ell2_b3_ell2_cblinfun'=iProver_Domain_'A3_ell2_b3_ell2_cblinfun'_1 ) % 64.05/8.80 & % 64.05/8.80 ( X0_'Unit_ell2_b3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'tensor_op$z' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'B1_b2_b3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'B1_ell2_unit_ell2_cblinfun',X0_'B2_b3_prod_ell2_b2_unit_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'tensor_op$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 & % 64.05/8.80 ( X0_'B1_ell2_unit_ell2_cblinfun'!=iProver_Domain_'B1_ell2_unit_ell2_cblinfun'_1 ) % 64.05/8.80 & % 64.05/8.80 ( 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 ) % 64.05/8.80 & % 64.05/8.80 ( X0_'B1_ell2_unit_ell2_cblinfun'!=iProver_Domain_'B1_ell2_unit_ell2_cblinfun'_2 | X0_'B2_b3_prod_ell2_b2_unit_prod_ell2_cblinfun'!=iProver_Domain_'B2_b3_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) % 64.05/8.80 & % 64.05/8.80 ( X0_'B2_b3_prod_ell2_b2_unit_prod_ell2_cblinfun'!=iProver_Domain_'B2_b3_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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'_2 & X0_'B2_b3_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'B2_b3_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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_'B2_b3_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'B2_b3_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) % 64.05/8.80 & % 64.05/8.80 ( X0_'B1_ell2_unit_ell2_cblinfun'!=iProver_Domain_'B1_ell2_unit_ell2_cblinfun'_1 ) % 64.05/8.80 & % 64.05/8.80 ( X0_'B1_ell2_unit_ell2_cblinfun'!=iProver_Domain_'B1_ell2_unit_ell2_cblinfun'_2 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'sandwich$c' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'sandwich$c'(X0_'B2_ell2_b2_ell2_cblinfun_b2_ell2_b2_ell2_cblinfun_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 & % 64.05/8.80 ( X0_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'zero$ak' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'zero$ak'(X0_'A1_a2_a3_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'assoc_ell2$c' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'assoc_ell2$c'(X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'cblinfun_compose$au' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'B3_ell2_b3_ell2_cblinfun',X0_'Unit_ell2_b3_ell2_cblinfun',X0_'B3_ell2_unit_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'cblinfun_compose$au'(X0_'B3_ell2_b3_ell2_cblinfun',X0_'Unit_ell2_b3_ell2_cblinfun',X0_'B3_ell2_unit_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'B3_ell2_b3_ell2_cblinfun'=iProver_Domain_'B3_ell2_b3_ell2_cblinfun'_1 ) % 64.05/8.80 & % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'tensor_op$y' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun',X0_'A1_ell2_unit_ell2_cblinfun',X0_'A2_a3_prod_ell2_a2_unit_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'tensor_op$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 & % 64.05/8.80 ( X0_'A1_ell2_unit_ell2_cblinfun'!=iProver_Domain_'A1_ell2_unit_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'fun_app$h' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'Unit_ell2_a3_ell2_cblinfun_a2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun_fun',X0_'Unit_ell2_a3_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'fun_app$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( X0_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) % 64.05/8.80 & % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'butterfly$ad' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun',X0_'B3_b1_prod_ell2',X0_'A3_a1_prod_ell2'] : % 64.05/8.80 ( iProver_Flat_'butterfly$ad'(X0_'A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun',X0_'B3_b1_prod_ell2',X0_'A3_a1_prod_ell2') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun'=iProver_Domain_'A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun'_1 ) % 64.05/8.80 & % 64.05/8.80 ( X0_'B3_b1_prod_ell2'!=iProver_Domain_'B3_b1_prod_ell2'_1 | X0_'A3_a1_prod_ell2'!=iProver_Domain_'A3_a1_prod_ell2'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( X0_'A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun'=iProver_Domain_'A3_a1_prod_ell2_b3_b1_prod_ell2_cblinfun'_2 & X0_'B3_b1_prod_ell2'=iProver_Domain_'B3_b1_prod_ell2'_1 & X0_'A3_a1_prod_ell2'=iProver_Domain_'A3_a1_prod_ell2'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'cblinfun_compose$dl' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A1_a1_prod_a3_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_b3_prod_ell2_a1_a1_b3_prod_prod_ell2_cblinfun',X0_'A1_a1_prod_a3_prod_ell2_a1_a1_prod_b3_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'cblinfun_compose$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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'_2 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'heterogenous_cblinfun_id$h' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'B2_ell2_b2_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'heterogenous_cblinfun_id$h'(X0_'B2_ell2_b2_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'cblinfun_compose$x' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'B2_b3_prod_ell2_a2_a3_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'cblinfun_compose$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_2 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'cblinfun_apply$m' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'B2_unit_prod_ell2',X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'A2_unit_prod_ell2'] : % 64.05/8.80 ( iProver_Flat_'cblinfun_apply$m'(X0_'B2_unit_prod_ell2',X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'A2_unit_prod_ell2') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'B2_unit_prod_ell2'=iProver_Domain_'B2_unit_prod_ell2'_1 ) % 64.05/8.80 & % 64.05/8.80 ( X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) % 64.05/8.80 & % 64.05/8.80 ( X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_2 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( X0_'B2_unit_prod_ell2'=iProver_Domain_'B2_unit_prod_ell2'_1 & X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( X0_'B2_unit_prod_ell2'=iProver_Domain_'B2_unit_prod_ell2'_1 & X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_2 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'fun_app$d' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_fun',X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'fun_app$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 & % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'cblinfun_inv$f' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A2_a3_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a2_a3_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'cblinfun_inv$f'(X0_'A2_a3_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a2_a3_prod_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'A2_a3_prod_ell2_b2_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'zero$t' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A1_a3_prod_ell2'] : % 64.05/8.80 ( iProver_Flat_'zero$t'(X0_'A1_a3_prod_ell2') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'A1_a3_prod_ell2'=iProver_Domain_'A1_a3_prod_ell2'_2 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'zero$ap' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'zero$ap'(X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'fun_app$j' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'Unit_ell2_unit_ell2_cblinfun_a2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun_fun',X0_'Unit_ell2_unit_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'fun_app$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) % 64.05/8.80 & % 64.05/8.80 ( X0_'Unit_ell2_unit_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) % 64.05/8.80 & % 64.05/8.80 ( 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 ) % 64.05/8.80 & % 64.05/8.80 ( 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 ) % 64.05/8.80 & % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 & % 64.05/8.80 ( X0_'Unit_ell2_unit_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) % 64.05/8.80 & % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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'_2 & X0_'Unit_ell2_unit_ell2_cblinfun'=iProver_Domain_'Unit_ell2_unit_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'butterfly$v' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A2_ell2_b2_ell2_cblinfun',X0_'B2_ell2',X0_'A2_ell2'] : % 64.05/8.80 ( iProver_Flat_'butterfly$v'(X0_'A2_ell2_b2_ell2_cblinfun',X0_'B2_ell2',X0_'A2_ell2') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'A2_ell2_b2_ell2_cblinfun'=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'fun_app$w' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A2_a3_prod_ell2',X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_fun',X1_'A2_a3_prod_ell2'] : % 64.05/8.80 ( iProver_Flat_'fun_app$w'(X0_'A2_a3_prod_ell2',X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_fun',X1_'A2_a3_prod_ell2') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'A2_a3_prod_ell2'=iProver_Domain_'A2_a3_prod_ell2'_1 & 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'=iProver_Domain_'A2_a3_prod_ell2'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( X0_'A2_a3_prod_ell2'=iProver_Domain_'A2_a3_prod_ell2'_1 & X1_'A2_a3_prod_ell2'=iProver_Domain_'A2_a3_prod_ell2'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( X0_'A2_a3_prod_ell2'=iProver_Domain_'A2_a3_prod_ell2'_2 ) % 64.05/8.80 & % 64.05/8.80 ( 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'!=iProver_Domain_'A2_a3_prod_ell2'_1 ) % 64.05/8.80 & % 64.05/8.80 ( X1_'A2_a3_prod_ell2'!=iProver_Domain_'A2_a3_prod_ell2'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'cblinfun_compose$cg' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A2_ell2_a2_ell2_cblinfun',X0_'B1_b2_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_b1_b2_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'cblinfun_compose$cg'(X0_'A2_ell2_a2_ell2_cblinfun',X0_'B1_b2_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_b1_b2_prod_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 64.05/8.80 & % 64.05/8.80 ( X0_'A2_ell2_b1_b2_prod_ell2_cblinfun'!=iProver_Domain_'A2_ell2_b1_b2_prod_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_2 & X0_'A2_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'A2_ell2_b1_b2_prod_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'tensor_op$i' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'tensor_op$i'(X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'_2 ) % 64.05/8.80 & % 64.05/8.80 ( X0_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 | X0_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'tensor_op$k' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'B2_a2_prod_ell2_b2_a2_prod_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'tensor_op$k'(X0_'B2_a2_prod_ell2_b2_a2_prod_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'B2_a2_prod_ell2_b2_a2_prod_ell2_cblinfun'=iProver_Domain_'B2_a2_prod_ell2_b2_a2_prod_ell2_cblinfun'_1 ) % 64.05/8.80 & % 64.05/8.80 ( X0_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 | X0_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( X0_'B2_a2_prod_ell2_b2_a2_prod_ell2_cblinfun'=iProver_Domain_'B2_a2_prod_ell2_b2_a2_prod_ell2_cblinfun'_2 & X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 & X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'adj$ah' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X1_'Unit_b2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'adj$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'cblinfun_apply$g' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_fun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'cblinfun_apply$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 & % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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_a1_a2_prod_a3_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'cblinfun_compose$el' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'Unit_ell2_b1_ell2_cblinfun',X0_'B3_ell2_b1_ell2_cblinfun',X0_'Unit_ell2_b3_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'cblinfun_compose$el'(X0_'Unit_ell2_b1_ell2_cblinfun',X0_'B3_ell2_b1_ell2_cblinfun',X0_'Unit_ell2_b3_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_2 ) % 64.05/8.80 & % 64.05/8.80 ( X0_'Unit_ell2_b3_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_2 & X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'cblinfun_compose$cy' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X1_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'cblinfun_compose$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'cblinfun_inv$m' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'cblinfun_inv$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'plus$t' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'Unit_ell2_b3_ell2_cblinfun',X1_'Unit_ell2_b3_ell2_cblinfun',X2_'Unit_ell2_b3_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'plus$t'(X0_'Unit_ell2_b3_ell2_cblinfun',X1_'Unit_ell2_b3_ell2_cblinfun',X2_'Unit_ell2_b3_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'Unit_ell2_b3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b3_ell2_cblinfun'_1 ) % 64.05/8.80 & % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'adj$ar' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'B3_ell2_unit_ell2_cblinfun',X0_'Unit_ell2_b3_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'adj$ar'(X0_'B3_ell2_unit_ell2_cblinfun',X0_'Unit_ell2_b3_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'B3_ell2_unit_ell2_cblinfun'=iProver_Domain_'B3_ell2_unit_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'cblinfun_compose$dv' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A1_a2_prod_unit_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_prod_unit_prod_ell2_a1_a2_prod_a3_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'cblinfun_compose$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 & % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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 & 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_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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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_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 ) % 64.05/8.80 & % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'plus$n' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun',X1_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun',X2_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'plus$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) % 64.05/8.80 & % 64.05/8.80 ( X1_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) % 64.05/8.80 & % 64.05/8.80 ( X2_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( X0_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_2 & X1_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) % 64.05/8.80 & % 64.05/8.80 ( X2_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 & % 64.05/8.80 ( X1_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'swap_ell2$a' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'swap_ell2$a'(X0_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b2_b1_prod_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'adj$al' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'Unit_a2_unit_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'adj$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 & % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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 & 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'phi_n$' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'B3_ell2'] : % 64.05/8.80 ( iProver_Flat_'phi_n$'(X0_'B3_ell2') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'B3_ell2'=iProver_Domain_'B3_ell2'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'cblinfun_compose$m' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X1_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X0_'A2_unit_prod_ell2_a2_unit_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'cblinfun_compose$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_2 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'id_cblinfun$q' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'id_cblinfun$q'(X0_'Unit_a2_unit_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'cblinfun_apply$h' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun',X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'cblinfun_apply$h'(X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun',X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun'=iProver_Domain_'B1_b2_prod_ell2_b1_b2_prod_ell2_fun'_2 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'cblinfun_compose$co' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A2_ell2_a2_ell2_cblinfun',X0_'A1_a2_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_a1_a2_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'cblinfun_compose$co'(X0_'A2_ell2_a2_ell2_cblinfun',X0_'A1_a2_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_a1_a2_prod_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_2 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'butterfly$al' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'Unit_a2_unit_prod_prod_ell2_unit_b2_unit_prod_prod_ell2_cblinfun',X0_'Unit_b2_unit_prod_prod_ell2',X0_'Unit_a2_unit_prod_prod_ell2'] : % 64.05/8.80 ( iProver_Flat_'butterfly$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'tensor_op$ak' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X1_'A1_ell2_a1_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'tensor_op$ak'(X0_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X1_'A1_ell2_a1_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun'=iProver_Domain_'A1_a1_prod_ell2_a1_a1_prod_ell2_cblinfun'_2 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'cblinfun_apply$ac' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'B1_b2_prod_b3_prod_ell2',X0_'A1_a2_prod_a3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun',X0_'A1_a2_prod_a3_prod_ell2'] : % 64.05/8.80 ( iProver_Flat_'cblinfun_apply$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'B1_b2_prod_b3_prod_ell2'=iProver_Domain_'B1_b2_prod_b3_prod_ell2'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'adj$w' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'B1_ell2_unit_ell2_cblinfun',X0_'Unit_ell2_b1_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'adj$w'(X0_'B1_ell2_unit_ell2_cblinfun',X0_'Unit_ell2_b1_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'B1_ell2_unit_ell2_cblinfun'=iProver_Domain_'B1_ell2_unit_ell2_cblinfun'_1 ) % 64.05/8.80 & % 64.05/8.80 ( X0_'Unit_ell2_b1_ell2_cblinfun'!=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( X0_'B1_ell2_unit_ell2_cblinfun'=iProver_Domain_'B1_ell2_unit_ell2_cblinfun'_2 & X0_'Unit_ell2_b1_ell2_cblinfun'=iProver_Domain_'Unit_ell2_b1_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'adj$bi' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A2_ell2_b1_b2_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_a2_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'adj$bi'(X0_'A2_ell2_b1_b2_prod_ell2_cblinfun',X0_'B1_b2_prod_ell2_a2_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'A2_ell2_b1_b2_prod_ell2_cblinfun'=iProver_Domain_'A2_ell2_b1_b2_prod_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'tensor_op$ar' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A1_a1_a2_prod_prod_ell2_a1_a1_a2_prod_prod_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun',X0_'A1_a2_prod_ell2_a1_a2_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'tensor_op$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'zero$v' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'B3_a1_prod_ell2'] : % 64.05/8.80 ( iProver_Flat_'zero$v'(X0_'B3_a1_prod_ell2') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'B3_a1_prod_ell2'=iProver_Domain_'B3_a1_prod_ell2'_2 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'cblinfun_compose$da' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X1_'A1_a2_prod_a3_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'cblinfun_compose$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'id_cblinfun$w' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A2_a1_prod_ell2_a2_a1_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'id_cblinfun$w'(X0_'A2_a1_prod_ell2_a2_a1_prod_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'A2_a1_prod_ell2_a2_a1_prod_ell2_cblinfun'=iProver_Domain_'A2_a1_prod_ell2_a2_a1_prod_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'zero$l' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'Unit_ell2_a3_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'zero$l'(X0_'Unit_ell2_a3_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'Unit_ell2_a3_ell2_cblinfun'=iProver_Domain_'Unit_ell2_a3_ell2_cblinfun'_2 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'fun_app$t' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'Unit_a2_unit_prod_prod_ell2',X0_'A1_a2_a3_prod_prod_ell2_unit_a2_unit_prod_prod_ell2_fun',X0_'A1_a2_a3_prod_prod_ell2'] : % 64.05/8.80 ( iProver_Flat_'fun_app$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'Unit_a2_unit_prod_prod_ell2'=iProver_Domain_'Unit_a2_unit_prod_prod_ell2'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'id_cblinfun$ad' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'id_cblinfun$ad'(X0_'A2_ell2_a2_ell2_cblinfun_a2_ell2_a2_ell2_cblinfun_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'fun_app$a' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun',X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'fun_app$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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$' & X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'=iProver_Domain_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun'_2 ) % 64.05/8.80 & % 64.05/8.80 ( X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 | X0_'A1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun_fun_fun'!='cblinfun_compose$' ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'cblinfun_apply$ag' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun',X0_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_a1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun_cblinfun',X1_'A1_a2_a3_prod_prod_ell2_a1_a2_a3_prod_prod_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'cblinfun_apply$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') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 & % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'adj$q' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'B1_ell2_a1_ell2_cblinfun',X0_'A1_ell2_b1_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'adj$q'(X0_'B1_ell2_a1_ell2_cblinfun',X0_'A1_ell2_b1_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( X0_'B1_ell2_a1_ell2_cblinfun'=iProver_Domain_'B1_ell2_a1_ell2_cblinfun'_2 ) % 64.05/8.80 & % 64.05/8.80 ( X0_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ) % 64.05/8.80 ). % 64.05/8.80 % 64.05/8.80 %------ Positive definition of iProver_Flat_'tensor_op$e' % 64.05/8.80 fof(lit_def,axiom, % 64.05/8.80 (! [X0_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun',X0_'Unit_ell2_b3_ell2_cblinfun'] : % 64.05/8.80 ( iProver_Flat_'tensor_op$e'(X0_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun',X0_'B2_ell2_b2_ell2_cblinfun',X0_'Unit_ell2_b3_ell2_cblinfun') <=> % 64.05/8.80 ( % 64.05/8.80 ( % 64.05/8.80 ( X0_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 ) % 64.05/8.80 & % 64.05/8.80 ( 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 ) % 64.05/8.80 ) % 64.05/8.80 % 64.05/8.80 | % 64.05/8.80 ( % 64.05/8.80 ( X0_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun'=iProver_Domain_'B2_unit_prod_ell2_b2_b3_prod_ell2_cblinfun'_1 & 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 ) % 64.05/8.81 ) % 64.05/8.81 % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ). % 64.05/8.81 % 64.05/8.81 %------ Positive definition of iProver_Flat_'cblinfun_apply$v' % 64.05/8.81 fof(lit_def,axiom, % 64.05/8.81 (! [X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_fun',X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'] : % 64.05/8.81 ( iProver_Flat_'cblinfun_apply$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') <=> % 64.05/8.81 ( % 64.05/8.81 ( % 64.05/8.81 ( 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 ) % 64.05/8.81 & % 64.05/8.81 ( 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 ) % 64.05/8.81 ) % 64.05/8.81 % 64.05/8.81 | % 64.05/8.81 ( % 64.05/8.81 ( 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 & 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 ) % 64.05/8.81 ) % 64.05/8.81 % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ). % 64.05/8.81 % 64.05/8.81 %------ Positive definition of iProver_Flat_'sandwich$a' % 64.05/8.81 fof(lit_def,axiom, % 64.05/8.81 (! [X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_a2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun_cblinfun',X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'] : % 64.05/8.81 ( iProver_Flat_'sandwich$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') <=> % 64.05/8.81 ( % 64.05/8.81 ( % 64.05/8.81 ( 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 ) % 64.05/8.81 & % 64.05/8.81 ( X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'!=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 64.05/8.81 ) % 64.05/8.81 % 64.05/8.81 | % 64.05/8.81 ( % 64.05/8.81 ( 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 & X0_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_a3_prod_ell2_cblinfun'_1 ) % 64.05/8.81 ) % 64.05/8.81 % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ). % 64.05/8.81 % 64.05/8.81 %------ Positive definition of iProver_Flat_'cblinfun_apply$ar' % 64.05/8.81 fof(lit_def,axiom, % 64.05/8.81 (! [X0_'A3_ell2',X0_'B1_ell2_a3_ell2_cblinfun',X0_'B1_ell2'] : % 64.05/8.81 ( iProver_Flat_'cblinfun_apply$ar'(X0_'A3_ell2',X0_'B1_ell2_a3_ell2_cblinfun',X0_'B1_ell2') <=> % 64.05/8.81 ( % 64.05/8.81 ( % 64.05/8.81 ( X0_'A3_ell2'=iProver_Domain_'A3_ell2'_1 ) % 64.05/8.81 & % 64.05/8.81 ( X0_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 ) % 64.05/8.81 ) % 64.05/8.81 % 64.05/8.81 | % 64.05/8.81 ( % 64.05/8.81 ( X0_'A3_ell2'=iProver_Domain_'A3_ell2'_1 & X0_'B1_ell2'=iProver_Domain_'B1_ell2'_1 ) % 64.05/8.81 ) % 64.05/8.81 % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ). % 64.05/8.81 % 64.05/8.81 %------ Positive definition of iProver_Flat_'cblinfun_compose$ee' % 64.05/8.81 fof(lit_def,axiom, % 64.05/8.81 (! [X0_'A1_ell2_b1_ell2_cblinfun',X1_'A1_ell2_b1_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun'] : % 64.05/8.81 ( iProver_Flat_'cblinfun_compose$ee'(X0_'A1_ell2_b1_ell2_cblinfun',X1_'A1_ell2_b1_ell2_cblinfun',X0_'A1_ell2_a1_ell2_cblinfun') <=> % 64.05/8.81 ( % 64.05/8.81 ( % 64.05/8.81 ( X0_'A1_ell2_b1_ell2_cblinfun'=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_1 ) % 64.05/8.81 & % 64.05/8.81 ( X0_'A1_ell2_a1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 | X1_'A1_ell2_b1_ell2_cblinfun'!=iProver_Domain_'A1_ell2_b1_ell2_cblinfun'_2 ) % 64.05/8.81 ) % 64.05/8.81 % 64.05/8.81 | % 64.05/8.81 ( % 64.05/8.81 ( 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'_2 & X0_'A1_ell2_a1_ell2_cblinfun'=iProver_Domain_'A1_ell2_a1_ell2_cblinfun'_1 ) % 64.05/8.81 ) % 64.05/8.81 % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ). % 64.05/8.81 % 64.05/8.81 %------ Positive definition of iProver_Flat_'tensor_ell2$g' % 64.05/8.81 fof(lit_def,axiom, % 64.05/8.81 (! [X0_'A3_a1_prod_ell2',X0_'A3_ell2',X0_'A1_ell2'] : % 64.05/8.81 ( iProver_Flat_'tensor_ell2$g'(X0_'A3_a1_prod_ell2',X0_'A3_ell2',X0_'A1_ell2') <=> % 64.05/8.81 ( % 64.05/8.81 ( % 64.05/8.81 ( X0_'A3_a1_prod_ell2'=iProver_Domain_'A3_a1_prod_ell2'_1 ) % 64.05/8.81 & % 64.05/8.81 ( X0_'A1_ell2'!=iProver_Domain_'A1_ell2'_1 ) % 64.05/8.81 ) % 64.05/8.81 % 64.05/8.81 | % 64.05/8.81 ( % 64.05/8.81 ( X0_'A3_a1_prod_ell2'=iProver_Domain_'A3_a1_prod_ell2'_1 & X0_'A1_ell2'=iProver_Domain_'A1_ell2'_1 ) % 64.05/8.81 ) % 64.05/8.81 % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ). % 64.05/8.81 % 64.05/8.81 %------ Positive definition of iProver_Flat_'cblinfun_compose$dc' % 64.05/8.81 fof(lit_def,axiom, % 64.05/8.81 (! [X0_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X1_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun',X0_'B1_b2_prod_b3_prod_ell2_b1_b2_prod_b3_prod_ell2_cblinfun'] : % 64.05/8.81 ( iProver_Flat_'cblinfun_compose$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') <=> % 64.05/8.81 ( % 64.05/8.81 ( % 64.05/8.81 ( 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 ) % 64.05/8.81 & % 64.05/8.81 ( 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_b3_prod_prod_ell2_cblinfun'!=iProver_Domain_'B1_b2_prod_b3_prod_ell2_b1_b2_b3_prod_prod_ell2_cblinfun'_1 ) % 64.05/8.81 & % 64.05/8.81 ( 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 ) % 64.05/8.81 ) % 64.05/8.81 % 64.05/8.81 | % 64.05/8.81 ( % 64.05/8.81 ( 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 ) % 64.05/8.81 & % 64.05/8.81 ( 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 ) % 64.05/8.81 ) % 64.05/8.81 % 64.05/8.81 | % 64.05/8.81 ( % 64.05/8.81 ( 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 & 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 ) % 64.05/8.81 ) % 64.05/8.81 % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ). % 64.05/8.81 % 64.05/8.81 %------ Positive definition of iProver_Flat_'tensor_op$m' % 64.05/8.81 fof(lit_def,axiom, % 64.05/8.81 (! [X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun',X1_'A2_ell2_a2_ell2_cblinfun'] : % 64.05/8.81 ( iProver_Flat_'tensor_op$m'(X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun',X0_'A2_ell2_a2_ell2_cblinfun',X1_'A2_ell2_a2_ell2_cblinfun') <=> % 64.05/8.81 ( % 64.05/8.81 ( % 64.05/8.81 ( X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'_1 ) % 64.05/8.81 & % 64.05/8.81 ( 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 ) % 64.05/8.81 ) % 64.05/8.81 % 64.05/8.81 | % 64.05/8.81 ( % 64.05/8.81 ( X0_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'=iProver_Domain_'A2_a2_prod_ell2_a2_a2_prod_ell2_cblinfun'_1 & 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 ) % 64.05/8.81 ) % 64.05/8.81 % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ). % 64.05/8.81 % 64.05/8.81 %------ Positive definition of iProver_Flat_'cblinfun_apply$o' % 64.05/8.81 fof(lit_def,axiom, % 64.05/8.81 (! [X0_'Unit_ell2',X0_'Unit_ell2_unit_ell2_cblinfun',X1_'Unit_ell2'] : % 64.05/8.81 ( iProver_Flat_'cblinfun_apply$o'(X0_'Unit_ell2',X0_'Unit_ell2_unit_ell2_cblinfun',X1_'Unit_ell2') <=> % 64.05/8.81 ( % 64.05/8.81 ( % 64.05/8.81 ( X0_'Unit_ell2'=iProver_Domain_'Unit_ell2'_1 ) % 64.05/8.81 ) % 64.05/8.81 % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ). % 64.05/8.81 % 64.05/8.81 %------ Positive definition of iProver_Flat_'plus$j' % 64.05/8.81 fof(lit_def,axiom, % 64.05/8.81 (! [X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X1_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun',X2_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'] : % 64.05/8.81 ( iProver_Flat_'plus$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') <=> % 64.05/8.81 ( % 64.05/8.81 ( % 64.05/8.81 ( X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 & X2_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) % 64.05/8.81 & % 64.05/8.81 ( X1_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) % 64.05/8.81 ) % 64.05/8.81 % 64.05/8.81 | % 64.05/8.81 ( % 64.05/8.81 ( X0_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_2 ) % 64.05/8.81 & % 64.05/8.81 ( X2_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'!=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) % 64.05/8.81 ) % 64.05/8.81 % 64.05/8.81 | % 64.05/8.81 ( % 64.05/8.81 ( 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 & X2_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'=iProver_Domain_'A2_unit_prod_ell2_b2_unit_prod_ell2_cblinfun'_1 ) % 64.05/8.81 ) % 64.05/8.81 % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ). % 64.05/8.81 % 64.05/8.81 %------ Positive definition of iProver_Flat_'tensor_ell2$f' % 64.05/8.81 fof(lit_def,axiom, % 64.05/8.81 (! [X0_'A3_b1_prod_ell2',X0_'A3_ell2',X0_'B1_ell2'] : % 64.05/8.81 ( iProver_Flat_'tensor_ell2$f'(X0_'A3_b1_prod_ell2',X0_'A3_ell2',X0_'B1_ell2') <=> % 64.05/8.81 ( % 64.05/8.81 ( % 64.05/8.81 ( X0_'A3_b1_prod_ell2'=iProver_Domain_'A3_b1_prod_ell2'_1 ) % 64.05/8.81 & % 64.05/8.81 ( X0_'B1_ell2'!=iProver_Domain_'B1_ell2'_1 ) % 64.05/8.81 ) % 64.05/8.81 % 64.05/8.81 | % 64.05/8.81 ( % 64.05/8.81 ( X0_'A3_b1_prod_ell2'=iProver_Domain_'A3_b1_prod_ell2'_1 & X0_'B1_ell2'=iProver_Domain_'B1_ell2'_1 ) % 64.05/8.81 ) % 64.05/8.81 % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ). % 64.05/8.81 % 64.05/8.81 %------ Positive definition of iProver_Flat_sK0 % 64.05/8.81 fof(lit_def,axiom, % 64.05/8.81 (! [X0_'B2_ell2_b2_ell2_cblinfun',X1_'B2_ell2_b2_ell2_cblinfun'] : % 64.05/8.81 ( iProver_Flat_sK0(X0_'B2_ell2_b2_ell2_cblinfun',X1_'B2_ell2_b2_ell2_cblinfun') <=> % 64.05/8.81 ( % 64.05/8.81 ( % 64.05/8.81 ( 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 ) % 64.05/8.81 ) % 64.05/8.81 % 64.05/8.81 | % 64.05/8.81 ( % 64.05/8.81 ( X0_'B2_ell2_b2_ell2_cblinfun'=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_2 ) % 64.05/8.81 & % 64.05/8.81 ( X1_'B2_ell2_b2_ell2_cblinfun'!=iProver_Domain_'B2_ell2_b2_ell2_cblinfun'_1 ) % 64.05/8.81 ) % 64.05/8.81 % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ). % 64.05/8.81 % 64.05/8.81 %------ Positive definition of iProver_Flat_sK1 % 64.05/8.81 fof(lit_def,axiom, % 64.05/8.81 (! [X0_'B2_ell2_a2_ell2_cblinfun',X0_'A2_ell2_b2_ell2_cblinfun'] : % 64.05/8.81 ( iProver_Flat_sK1(X0_'B2_ell2_a2_ell2_cblinfun',X0_'A2_ell2_b2_ell2_cblinfun') <=> % 64.05/8.81 ( % 64.05/8.81 ( % 64.05/8.81 ( X0_'B2_ell2_a2_ell2_cblinfun'=iProver_Domain_'B2_ell2_a2_ell2_cblinfun'_1 ) % 64.05/8.81 ) % 64.05/8.81 % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ). % 64.05/8.81 % 64.05/8.81 %------ Positive definition of iProver_Flat_sK2 % 64.05/8.81 fof(lit_def,axiom, % 64.05/8.81 (! [X0_'A2_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun'] : % 64.05/8.81 ( iProver_Flat_sK2(X0_'A2_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a2_ell2_cblinfun') <=> % 64.05/8.81 ( % 64.05/8.81 ( % 64.05/8.81 ( X0_'A2_ell2_b2_ell2_cblinfun'=iProver_Domain_'A2_ell2_b2_ell2_cblinfun'_1 ) % 64.05/8.81 ) % 64.05/8.81 % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ). % 64.05/8.81 % 64.05/8.81 %------ Positive definition of iProver_Flat_sK3 % 64.05/8.81 fof(lit_def,axiom, % 64.05/8.81 (! [X0_'A2_ell2_a2_ell2_cblinfun',X1_'A2_ell2_a2_ell2_cblinfun'] : % 64.05/8.81 ( iProver_Flat_sK3(X0_'A2_ell2_a2_ell2_cblinfun',X1_'A2_ell2_a2_ell2_cblinfun') <=> % 64.05/8.81 ( % 64.05/8.81 ( % 64.05/8.81 ( X0_'A2_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 64.05/8.81 & % 64.05/8.81 ( X1_'A2_ell2_a2_ell2_cblinfun'!=iProver_Domain_'A2_ell2_a2_ell2_cblinfun'_1 ) % 64.05/8.81 ) % 64.05/8.81 % 64.05/8.81 | % 64.05/8.81 ( % 64.05/8.81 ( 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 ) % 64.05/8.81 ) % 64.05/8.81 % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ). % 64.05/8.81 % 64.05/8.81 %------ Positive definition of iProver_Flat_sK4 % 64.05/8.81 fof(lit_def,axiom, % 64.05/8.81 (! [X0_'B1_b2_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_b1_b2_prod_ell2_cblinfun'] : % 64.05/8.81 ( iProver_Flat_sK4(X0_'B1_b2_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_b1_b2_prod_ell2_cblinfun') <=> % 64.05/8.81 ( % 64.05/8.81 ( % 64.05/8.81 ( X0_'B1_b2_prod_ell2_b2_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_b2_ell2_cblinfun'_1 ) % 64.05/8.81 ) % 64.05/8.81 % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ). % 64.05/8.81 % 64.05/8.81 %------ Positive definition of iProver_Flat_sK5 % 64.05/8.81 fof(lit_def,axiom, % 64.05/8.81 (! [X0_'B1_b2_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_b1_b2_prod_ell2_cblinfun'] : % 64.05/8.81 ( iProver_Flat_sK5(X0_'B1_b2_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_b1_b2_prod_ell2_cblinfun') <=> % 64.05/8.81 ( % 64.05/8.81 ( % 64.05/8.81 ( X0_'B1_b2_prod_ell2_a2_ell2_cblinfun'=iProver_Domain_'B1_b2_prod_ell2_a2_ell2_cblinfun'_1 ) % 64.05/8.81 ) % 64.05/8.81 % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ). % 64.05/8.81 % 64.05/8.81 %------ Positive definition of iProver_Flat_sK6 % 64.05/8.81 fof(lit_def,axiom, % 64.05/8.81 (! [X0_'A2_a3_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a2_a3_prod_ell2_cblinfun'] : % 64.05/8.81 ( iProver_Flat_sK6(X0_'A2_a3_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a2_a3_prod_ell2_cblinfun') <=> % 64.05/8.81 ( % 64.05/8.81 ( % 64.05/8.81 ( X0_'A2_a3_prod_ell2_b2_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_b2_ell2_cblinfun'_1 ) % 64.05/8.81 ) % 64.05/8.81 % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ). % 64.05/8.81 % 64.05/8.81 %------ Positive definition of iProver_Flat_sK7 % 64.05/8.81 fof(lit_def,axiom, % 64.05/8.81 (! [X0_'A2_a3_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_a2_a3_prod_ell2_cblinfun'] : % 64.05/8.81 ( iProver_Flat_sK7(X0_'A2_a3_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_a2_a3_prod_ell2_cblinfun') <=> % 64.05/8.81 ( % 64.05/8.81 ( % 64.05/8.81 ( X0_'A2_a3_prod_ell2_a2_ell2_cblinfun'=iProver_Domain_'A2_a3_prod_ell2_a2_ell2_cblinfun'_1 ) % 64.05/8.81 ) % 64.05/8.81 % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ). % 64.05/8.81 % 64.05/8.81 %------ Positive definition of iProver_Flat_sK8 % 64.05/8.81 fof(lit_def,axiom, % 64.05/8.81 (! [X0_'A1_a2_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a1_a2_prod_ell2_cblinfun'] : % 64.05/8.81 ( iProver_Flat_sK8(X0_'A1_a2_prod_ell2_b2_ell2_cblinfun',X0_'B2_ell2_a1_a2_prod_ell2_cblinfun') <=> % 64.05/8.81 ( % 64.05/8.81 ( % 64.05/8.81 ( X0_'A1_a2_prod_ell2_b2_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_b2_ell2_cblinfun'_1 ) % 64.05/8.81 ) % 64.05/8.81 % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ). % 64.05/8.81 % 64.05/8.81 %------ Positive definition of iProver_Flat_sK9 % 64.05/8.81 fof(lit_def,axiom, % 64.05/8.81 (! [X0_'A1_a2_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_a1_a2_prod_ell2_cblinfun'] : % 64.05/8.81 ( iProver_Flat_sK9(X0_'A1_a2_prod_ell2_a2_ell2_cblinfun',X0_'A2_ell2_a1_a2_prod_ell2_cblinfun') <=> % 64.05/8.81 ( % 64.05/8.81 ( % 64.05/8.81 ( X0_'A1_a2_prod_ell2_a2_ell2_cblinfun'=iProver_Domain_'A1_a2_prod_ell2_a2_ell2_cblinfun'_1 ) % 64.05/8.81 ) % 64.05/8.81 % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ) % 64.05/8.81 ). % 64.05/8.81 % SZS output end Model for theBenchmark.p % 64.05/8.81 %------------------------------------------------------------------------------