Theorem. (t29_cfunct_1)
∀k9_subset_1 : set → set → set → set, ∀v1_membered : set → prop, ∀k18_valued_1 : set → set → set, ∀v1_valued_0 : set → prop, ∀v1_relat_1 : set → prop, ∀k3_xcmplx_0 : set → set → set, ∀esk5_3 : set → set → set → set, ∀k3_xboole_0 : set → set → set, ∀k9_xtuple_0 : set → set, ∀k55_valued_1 : set → set → set → set, ∀k4_numbers : set, ∀v5_membered : set → prop, ∀v4_valued_0 : set → prop, ∀v6_membered : set → prop, ∀v2_valued_0 : set → prop, ∀v2_membered : set → prop, ∀esk8_2 : set → set → set, ∀v3_xxreal_0 : set → prop, ∀v1_xreal_0 : set → prop, ∀v1_int_1 : set → prop, ∀v7_ordinal1 : set → prop, ∀v2_seq_2 : set → prop, ∀esk1_0 : set, ∀esk3_0 : set, ∀esk2_0 : set, ∀esk13_0 : set, ∀esk10_2 : set → set → set, ∀k4_ordinal1 : set, ∀esk16_0 : set, ∀esk12_0 : set, ∀o_0_0_xboole_0 : set, ∀esk17_0 : set, ∀esk11_0 : set, ∀esk14_0 : set, ∀esk7_1 : set → set, ∀esk9_0 : set, ∀esk15_0 : set, ∀v1_finset_1 : set → prop, ∀k1_xboole_0 : set, ∀v7_membered : set → prop, ∀np__1 : set, ∀k16_complex1 : set → set, ∀k5_numbers : set, ∀r1_tarski : set → set → prop, ∀v1_xxreal_0 : set → prop, ∀v1_rat_1 : set → prop, ∀k8_real_1 : set → set → set, ∀v2_xxreal_0 : set → prop, ∀v1_xcmplx_0 : set → prop, ∀v4_relat_1 : set → set → prop, ∀v4_membered : set → prop, ∀k3_numbers : set, ∀m2_subset_1 : set → set → set → prop, ∀v5_relat_1 : set → set → prop, ∀v3_valued_0 : set → prop, ∀k17_complex1 : set → set, ∀esk4_2 : set → set → set, ∀k54_valued_1 : set → set, ∀esk6_3 : set → set → set → set, ∀r2_relset_1 : set → set → set → set → prop, ∀esk18_4 : set → set → set → set → set, ∀k1_funct_1 : set → set → set, ∀k1_numbers : set, ∀k20_valued_1 : set → set → set → set → set → set, ∀v3_membered : set → prop, ∀v1_xboole_0 : set → prop, ∀k2_zfmisc_1 : set → set → set, ∀k1_zfmisc_1 : set → set, ∀r2_hidden : set → set → prop, ∀k1_relset_1 : set → set → set, ∀m1_subset_1 : set → set → prop, ∀v1_funct_1 : set → prop, ∀k19_valued_1 : set → set → set → set → set → set, ∀k9_complex1 : set → set → set, ∀k2_numbers : set, ∀k7_partfun1 : set → set → set → set, (∀X4 X1 X3 X2, ((k7_partfun1 k2_numbers (k19_valued_1 X2 k2_numbers k2_numbers X3 X4) X1) = (k9_complex1 (k7_partfun1 k2_numbers X3 X1) (k7_partfun1 k2_numbers X4 X1)) → False) → (v1_xboole_0 X2 → False) → v1_funct_1 X4 → v1_funct_1 X3 → m1_subset_1 X1 X2 → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 k2_numbers)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X2 k2_numbers)) → r2_hidden X1 (k1_relset_1 X2 (k19_valued_1 X2 k2_numbers k2_numbers X3 X4)) → False) → (∀X3 X2 X1, ((k9_subset_1 X1 (k1_relset_1 X1 X2) (k1_relset_1 X1 X3)) = (k1_relset_1 X1 (k19_valued_1 X1 k2_numbers k2_numbers X2 X3)) → False) → (v1_xboole_0 X1 → False) → v1_funct_1 X3 → v1_funct_1 X2 → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k2_numbers)) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k2_numbers)) → False) → (∀X4 X2 X1 X3 X5, (m1_subset_1 (k20_valued_1 X1 X2 X3 X4 X5) (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → False) → v1_funct_1 X5 → v1_funct_1 X4 → v3_membered X3 → v3_membered X2 → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → (∀X4 X2 X1 X3 X5, (m1_subset_1 (k19_valued_1 X1 X2 X3 X4 X5) (k1_zfmisc_1 (k2_zfmisc_1 X1 k2_numbers)) → False) → v1_funct_1 X5 → v1_funct_1 X4 → v1_membered X3 → v1_membered X2 → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → (∀X4 X2 X1 X3 X5, (v1_funct_1 (k20_valued_1 X1 X2 X3 X4 X5) → False) → v1_funct_1 X5 → v1_funct_1 X4 → v3_membered X3 → v3_membered X2 → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → (∀X4 X2 X1 X3 X5, (v1_funct_1 (k19_valued_1 X1 X2 X3 X4 X5) → False) → v1_funct_1 X5 → v1_funct_1 X4 → v1_membered X3 → v1_membered X2 → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → (∀X3 X1 X4 X2 X5, ((k20_valued_1 X4 X1 X2 X3 X5) = (k20_valued_1 X4 X1 X2 X5 X3) → False) → v1_funct_1 X5 → v1_funct_1 X3 → v3_membered X2 → v3_membered X1 → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X4 X1)) → False) → (∀X3 X1 X4 X2 X5, ((k19_valued_1 X4 X1 X2 X3 X5) = (k19_valued_1 X4 X1 X2 X5 X3) → False) → v1_funct_1 X5 → v1_funct_1 X3 → v1_membered X2 → v1_membered X1 → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X4 X1)) → False) → (∀X2 X3 X1 X4, (X1 = X4 → False) → (k1_relset_1 X2 X1) = (k1_relset_1 X2 X4) → (k1_funct_1 X1 (esk18_4 X2 X3 X1 X4)) = (k1_funct_1 X4 (esk18_4 X2 X3 X1 X4)) → v1_funct_1 X4 → v1_funct_1 X1 → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X3 X1 X4 X2 X5, ((k20_valued_1 X4 X1 X2 X3 X5) = (k18_valued_1 X3 X5) → False) → v1_funct_1 X5 → v1_funct_1 X3 → v3_membered X2 → v3_membered X1 → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X4 X1)) → False) → (∀X3 X1 X4 X2 X5, ((k19_valued_1 X4 X1 X2 X3 X5) = (k18_valued_1 X3 X5) → False) → v1_funct_1 X5 → v1_funct_1 X3 → v1_membered X2 → v1_membered X1 → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X4 X1)) → False) → (∀X2 X1 X3, (X1 = (k18_valued_1 X2 X3) → False) → (k9_xtuple_0 X1) = (k3_xboole_0 (k9_xtuple_0 X2) (k9_xtuple_0 X3)) → (k3_xcmplx_0 (k1_funct_1 X2 (esk5_3 X2 X3 X1)) (k1_funct_1 X3 (esk5_3 X2 X3 X1))) = (k1_funct_1 X1 (esk5_3 X2 X3 X1)) → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X3 → v1_relat_1 X2 → v1_relat_1 X1 → v1_valued_0 X3 → v1_valued_0 X2 → False) → (∀X4 X1 X2 X3, (r2_relset_1 X2 X3 X4 X1 → False) → r2_relset_1 X2 X3 X1 X4 → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X1 X2 X3 X4, (X3 = X4 → False) → (r2_hidden (esk18_4 X1 X2 X3 X4) (k1_relset_1 X1 X3) → False) → (k1_relset_1 X1 X3) = (k1_relset_1 X1 X4) → v1_funct_1 X4 → v1_funct_1 X3 → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → (∀X1 X2 X3 X4, (X3 = X4 → False) → (m1_subset_1 (esk18_4 X1 X2 X3 X4) X1 → False) → (k1_relset_1 X1 X3) = (k1_relset_1 X1 X4) → v1_funct_1 X4 → v1_funct_1 X3 → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → (∀X2 X1 X3 X4, (X3 = X4 → False) → r2_relset_1 X1 X2 X3 X4 → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → (∀X1 X3 X2, (X3 = (k3_xboole_0 X1 X2) → False) → r2_hidden (esk6_3 X1 X2 X3) X3 → r2_hidden (esk6_3 X1 X2 X3) X2 → r2_hidden (esk6_3 X1 X2 X3) X1 → False) → (∀X4 X3 X1 X2, (r2_relset_1 X3 X4 X1 X2 → False) → X1 = X2 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4)) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4)) → False) → (∀X4 X1 X3 X2, (r2_relset_1 X2 X3 X1 X1 → False) → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X1 X3 X2, ((k55_valued_1 X3 X1 (k55_valued_1 X3 X1 X2)) = (k55_valued_1 X3 X1 X2) → False) → v1_funct_1 X2 → v1_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X2 X1 X3, (m1_subset_1 (k55_valued_1 X1 X2 X3) (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → False) → v1_funct_1 X3 → v1_membered X2 → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → (∀X4 X2 X3 X1, (v1_relat_1 (k9_xtuple_0 X1) → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X3) X4)) → False) → (∀X1 X3 X2, (X3 = (k3_xboole_0 X1 X2) → False) → (r2_hidden (esk6_3 X1 X2 X3) X3 → False) → (r2_hidden (esk6_3 X1 X2 X3) X1 → False) → False) → (∀X2 X3 X1, (X3 = (k3_xboole_0 X1 X2) → False) → (r2_hidden (esk6_3 X1 X2 X3) X3 → False) → (r2_hidden (esk6_3 X1 X2 X3) X2 → False) → False) → (∀X1 X2, (X1 = (k54_valued_1 X2) → False) → (k9_xtuple_0 X1) = (k9_xtuple_0 X2) → (k1_funct_1 X1 (esk4_2 X2 X1)) = (k17_complex1 (k1_funct_1 X2 (esk4_2 X2 X1))) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → v1_valued_0 X2 → v3_valued_0 X1 → False) → (∀X2 X1 X3, (X3 = (k18_valued_1 X1 X2) → False) → (r2_hidden (esk5_3 X1 X2 X3) (k9_xtuple_0 X3) → False) → (k9_xtuple_0 X3) = (k3_xboole_0 (k9_xtuple_0 X1) (k9_xtuple_0 X2)) → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X3 → v1_relat_1 X2 → v1_relat_1 X1 → v1_valued_0 X2 → v1_valued_0 X1 → False) → (∀X2 X1 X3, (v1_funct_1 (k55_valued_1 X1 X2 X3) → False) → v1_funct_1 X3 → v1_membered X2 → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → (∀X1 X3 X4 X2, ((k1_funct_1 X2 X1) = (k3_xcmplx_0 (k1_funct_1 X3 X1) (k1_funct_1 X4 X1)) → False) → X2 = (k18_valued_1 X3 X4) → v1_funct_1 X4 → v1_funct_1 X3 → v1_funct_1 X2 → v1_relat_1 X4 → v1_relat_1 X3 → v1_relat_1 X2 → v1_valued_0 X4 → v1_valued_0 X3 → r2_hidden X1 (k9_xtuple_0 X2) → False) → (∀X1 X3 X2, ((k55_valued_1 X3 X1 X2) = (k54_valued_1 X2) → False) → v1_funct_1 X2 → v1_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X3 X2 X1, (m1_subset_1 (k9_subset_1 X2 X3 X1) (k1_zfmisc_1 X2) → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X3 X2 X1, (m1_subset_1 (k7_partfun1 X2 X1 X3) X2 → False) → v1_funct_1 X1 → v1_relat_1 X1 → v5_relat_1 X1 X2 → False) → (∀X3 X1 X2, ((k3_xcmplx_0 (k1_funct_1 X1 X3) (k1_funct_1 X2 X3)) = (k1_funct_1 (k18_valued_1 X1 X2) X3) → False) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → v1_valued_0 X2 → v1_valued_0 X1 → False) → (∀X1 X3 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m1_subset_1 X3 X1 → False) → m2_subset_1 X3 X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1 X3, (v1_xboole_0 X3 → False) → (v1_xboole_0 X2 → False) → (m1_subset_1 X1 X3 → False) → m2_subset_1 X1 X2 X3 → m1_subset_1 X3 (k1_zfmisc_1 X2) → False) → (∀X3 X2 X1, ((k9_subset_1 X2 X1 X3) = (k9_subset_1 X2 X3 X1) → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X3 X1, ((k7_partfun1 X2 X1 X3) = (k1_funct_1 X1 X3) → False) → v1_funct_1 X1 → v1_relat_1 X1 → v5_relat_1 X1 X2 → r2_hidden X3 (k9_xtuple_0 X1) → False) → (∀X1 X3 X2, (v5_relat_1 X2 k3_numbers → False) → v4_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X1 X3 X2, (v5_relat_1 X2 k4_numbers → False) → v5_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X3 X1 X2, (v4_relat_1 X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X3 X1 X2, (v5_relat_1 X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X2)) → False) → (∀X1 X2 X3, ((k1_funct_1 X2 X1) = (k17_complex1 (k1_funct_1 X3 X1)) → False) → X2 = (k54_valued_1 X3) → v1_funct_1 X3 → v1_funct_1 X2 → v1_relat_1 X3 → v1_relat_1 X2 → v1_valued_0 X3 → v3_valued_0 X2 → r2_hidden X1 (k9_xtuple_0 X2) → False) → (∀X1 X3 X2, (v4_valued_0 X2 → False) → v6_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X1 X3 X2, (v3_valued_0 X2 → False) → v3_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X1 X3 X2, (v2_valued_0 X2 → False) → v2_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X1 X3 X2, (v1_valued_0 X2 → False) → v1_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X1 X3 X2, (v1_xboole_0 X2 → False) → v1_xboole_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → False) → (∀X1 X3 X2, (v1_xboole_0 X2 → False) → v1_xboole_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m2_subset_1 (esk8_2 X1 X2) X1 X2 → False) → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1 X3, (v1_xboole_0 X3 → False) → (v1_xboole_0 X2 → False) → (m2_subset_1 X1 X3 X2 → False) → m1_subset_1 X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X3 X2 X1, (v1_relat_1 X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X2 X1 X3, ((k9_xtuple_0 X1) = (k3_xboole_0 (k9_xtuple_0 X2) (k9_xtuple_0 X3)) → False) → X1 = (k18_valued_1 X2 X3) → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X3 → v1_relat_1 X2 → v1_relat_1 X1 → v1_valued_0 X3 → v1_valued_0 X2 → False) → (∀X1 X2, (X2 = (k54_valued_1 X1) → False) → (r2_hidden (esk4_2 X1 X2) (k9_xtuple_0 X2) → False) → (k9_xtuple_0 X1) = (k9_xtuple_0 X2) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → v1_valued_0 X1 → v3_valued_0 X2 → False) → (∀X1 X2 X3, ((k3_xcmplx_0 (k3_xcmplx_0 X1 X2) X3) = (k3_xcmplx_0 X1 (k3_xcmplx_0 X2 X3)) → False) → v1_xcmplx_0 X3 → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X3 X2 X1, ((k9_subset_1 X2 X3 X1) = (k3_xboole_0 X3 X1) → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X3 X2 X1, ((k9_subset_1 X2 X3 X3) = X3 → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X3 X1 X4, (r2_hidden X1 X4 → False) → X4 = (k3_xboole_0 X2 X3) → r2_hidden X1 X3 → r2_hidden X1 X2 → False) → (∀X2 X1, (m1_subset_1 (k9_complex1 X1 X2) k2_numbers → False) → m1_subset_1 X2 k2_numbers → m1_subset_1 X1 k2_numbers → False) → (∀X1 X2 X3, (v4_relat_1 (k3_xboole_0 X1 X3) X2 → False) → v1_relat_1 X3 → v1_relat_1 X1 → v4_relat_1 X1 X2 → False) → (∀X1 X2 X3, (v5_relat_1 (k3_xboole_0 X1 X3) X2 → False) → v1_relat_1 X3 → v1_relat_1 X1 → v5_relat_1 X1 X2 → False) → (∀X2 X1, (m1_subset_1 (k1_relset_1 X2 X1) (k1_zfmisc_1 X2) → False) → v1_relat_1 X1 → v4_relat_1 X1 X2 → False) → (∀X1 X2, (v1_relat_1 (k18_valued_1 X1 X2) → False) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → v1_valued_0 X2 → v1_valued_0 X1 → False) → (∀X1 X2, (v1_funct_1 (k18_valued_1 X1 X2) → False) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → v1_valued_0 X2 → v1_valued_0 X1 → False) → (∀X2 X1, (v5_relat_1 (k3_xboole_0 X1 X2) k3_numbers → False) → v1_relat_1 X2 → v1_relat_1 X1 → v5_relat_1 X1 k3_numbers → False) → (∀X2 X1, (v5_relat_1 (k3_xboole_0 X1 X2) k4_numbers → False) → v1_relat_1 X2 → v1_relat_1 X1 → v5_relat_1 X1 k4_numbers → False) → (∀X1 X2, (v5_relat_1 X2 k3_numbers → False) → v1_relat_1 X1 → v5_relat_1 X1 k3_numbers → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v5_relat_1 X2 k4_numbers → False) → v1_relat_1 X1 → v5_relat_1 X1 k4_numbers → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, ((k17_complex1 (k1_funct_1 X1 X2)) = (k1_funct_1 (k54_valued_1 X1) X2) → False) → v1_funct_1 X1 → v1_relat_1 X1 → v1_valued_0 X1 → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 (k3_xcmplx_0 X1 X2) → False) → (∀X2 X1, (v2_xxreal_0 X1 → False) → (v3_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k3_xcmplx_0 X1 X2) → False) → (∀X2 X1, (v2_xxreal_0 X1 → False) → (v3_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k3_xcmplx_0 X2 X1) → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v2_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 (k3_xcmplx_0 X1 X2) → False) → (∀X1 X2, ((k18_valued_1 X1 X2) = (k18_valued_1 X2 X1) → False) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → v1_valued_0 X2 → v1_valued_0 X1 → False) → (∀X2 X1, ((k8_real_1 (k17_complex1 X1) (k17_complex1 X2)) = (k17_complex1 (k3_xcmplx_0 X1 X2)) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1 X3, (m1_subset_1 X1 X3 → False) → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X2 X1, ((k9_complex1 X1 X2) = (k9_complex1 X2 X1) → False) → m1_subset_1 X2 k2_numbers → m1_subset_1 X1 k2_numbers → False) → (∀X2 X1, ((k9_complex1 X1 X2) = (k3_xcmplx_0 X1 X2) → False) → m1_subset_1 X2 k2_numbers → m1_subset_1 X1 k2_numbers → False) → (∀X2 X1, (m1_subset_1 (k8_real_1 X1 X2) k1_numbers → False) → v1_xreal_0 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, (v1_int_1 (k1_funct_1 X1 X2) → False) → v1_funct_1 X1 → v1_relat_1 X1 → v5_relat_1 X1 k4_numbers → False) → (∀X2 X1, (v1_rat_1 (k1_funct_1 X1 X2) → False) → v1_funct_1 X1 → v1_relat_1 X1 → v5_relat_1 X1 k3_numbers → False) → (∀X2 X1 X3, v1_xboole_0 X3 → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X3 X4 X1 X2, (r2_hidden X1 X2 → False) → X3 = (k3_xboole_0 X2 X4) → r2_hidden X1 X3 → False) → (∀X3 X4 X1 X2, (r2_hidden X1 X2 → False) → X3 = (k3_xboole_0 X4 X2) → r2_hidden X1 X3 → False) → (∀X1 X2, ((k9_xtuple_0 X1) = (k9_xtuple_0 X2) → False) → X1 = (k54_valued_1 X2) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → v1_valued_0 X2 → v3_valued_0 X1 → False) → (∀X2 X1, ((k8_real_1 X1 X2) = (k8_real_1 X2 X1) → False) → v1_xreal_0 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, ((k8_real_1 X1 X2) = (k3_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, (v7_ordinal1 (k1_funct_1 X1 X2) → False) → v1_funct_1 X1 → v1_relat_1 X1 → v4_valued_0 X1 → False) → (∀X2 X1, (v4_valued_0 (k3_xboole_0 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v4_valued_0 X1 → False) → (∀X2 X1, (v1_xreal_0 (k1_funct_1 X1 X2) → False) → v1_funct_1 X1 → v1_relat_1 X1 → v3_valued_0 X1 → False) → (∀X2 X1, (v1_xxreal_0 (k1_funct_1 X1 X2) → False) → v1_funct_1 X1 → v1_relat_1 X1 → v2_valued_0 X1 → False) → (∀X2 X1, (v3_valued_0 (k3_xboole_0 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v3_valued_0 X1 → False) → (∀X2 X1, (v1_xcmplx_0 (k1_funct_1 X1 X2) → False) → v1_funct_1 X1 → v1_relat_1 X1 → v1_valued_0 X1 → False) → (∀X2 X1, (v2_valued_0 (k3_xboole_0 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v2_valued_0 X1 → False) → (∀X2 X1, (v1_valued_0 (k3_xboole_0 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_valued_0 X1 → False) → (∀X1 X2, (v4_valued_0 X2 → False) → v1_relat_1 X1 → v4_valued_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v3_valued_0 X2 → False) → v1_relat_1 X1 → v3_valued_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v2_valued_0 X2 → False) → v1_relat_1 X1 → v2_valued_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_valued_0 X2 → False) → v1_relat_1 X1 → v1_valued_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, ((k1_relset_1 X2 X1) = (k9_xtuple_0 X1) → False) → v1_relat_1 X1 → v4_relat_1 X1 X2 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X1, (v5_relat_1 (k2_zfmisc_1 X2 X1) k3_numbers → False) → v4_membered X1 → False) → (∀X2 X1, (v5_relat_1 (k2_zfmisc_1 X2 X1) k4_numbers → False) → v5_membered X1 → False) → (∀X2 X1, r2_hidden X2 X1 → r2_hidden X1 X2 → False) → (∀X2 X1, (v1_xreal_0 (k3_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X1 X2, (v4_membered X2 → False) → v4_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v3_membered X2 → False) → v3_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v2_membered X2 → False) → v2_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_membered X2 → False) → v1_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v6_membered X2 → False) → v6_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v5_membered X2 → False) → v5_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → r1_tarski X1 X2 → False) → (∀X2 X1, ((k3_xcmplx_0 X1 X2) = (k3_xcmplx_0 X2 X1) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden X1 X2 → False) → m1_subset_1 X1 X2 → False) → (∀X1, (v5_relat_1 X1 k3_numbers → False) → v1_relat_1 X1 → v5_relat_1 X1 k4_numbers → False) → (∀X2 X1, (v4_valued_0 (k2_zfmisc_1 X2 X1) → False) → v6_membered X1 → False) → (∀X2 X1, (v4_membered (k3_xboole_0 X1 X2) → False) → v4_membered X1 → False) → (∀X2 X1, (v4_membered (k3_xboole_0 X2 X1) → False) → v4_membered X1 → False) → (∀X2 X1, (v3_membered (k3_xboole_0 X1 X2) → False) → v3_membered X1 → False) → (∀X2 X1, (v3_membered (k3_xboole_0 X2 X1) → False) → v3_membered X1 → False) → (∀X2 X1, (v2_membered (k3_xboole_0 X1 X2) → False) → v2_membered X1 → False) → (∀X2 X1, (v2_membered (k3_xboole_0 X2 X1) → False) → v2_membered X1 → False) → (∀X2 X1, (v3_valued_0 (k2_zfmisc_1 X2 X1) → False) → v3_membered X1 → False) → (∀X2 X1, (v1_membered (k3_xboole_0 X1 X2) → False) → v1_membered X1 → False) → (∀X2 X1, (v1_membered (k3_xboole_0 X2 X1) → False) → v1_membered X1 → False) → (∀X2 X1, (v2_valued_0 (k2_zfmisc_1 X2 X1) → False) → v2_membered X1 → False) → (∀X2 X1, (v6_membered (k3_xboole_0 X1 X2) → False) → v6_membered X1 → False) → (∀X2 X1, (v6_membered (k3_xboole_0 X2 X1) → False) → v6_membered X1 → False) → (∀X2 X1, (v1_valued_0 (k2_zfmisc_1 X2 X1) → False) → v1_membered X1 → False) → (∀X2 X1, (v5_membered (k3_xboole_0 X1 X2) → False) → v5_membered X1 → False) → (∀X2 X1, (v5_membered (k3_xboole_0 X2 X1) → False) → v5_membered X1 → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X1, ((k54_valued_1 (k54_valued_1 X1)) = (k54_valued_1 X1) → False) → v1_funct_1 X1 → v1_relat_1 X1 → v1_valued_0 X1 → False) → (∀X1 X2, (v7_ordinal1 X2 → False) → v6_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_int_1 X2 → False) → v5_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_rat_1 X2 → False) → v4_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_xreal_0 X2 → False) → v3_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_xxreal_0 X2 → False) → v2_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_xcmplx_0 X2 → False) → v1_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1, (v2_seq_2 (k54_valued_1 X1) → False) → v1_funct_1 X1 → v1_relat_1 X1 → v3_valued_0 X1 → False) → (∀X1, (v3_valued_0 (k54_valued_1 X1) → False) → v1_funct_1 X1 → v1_relat_1 X1 → v3_valued_0 X1 → False) → (∀X1, (v3_valued_0 (k54_valued_1 X1) → False) → v1_funct_1 X1 → v1_relat_1 X1 → v1_valued_0 X1 → False) → (∀X1, (v1_relat_1 (k54_valued_1 X1) → False) → v1_funct_1 X1 → v1_relat_1 X1 → v3_valued_0 X1 → False) → (∀X1, (v1_relat_1 (k54_valued_1 X1) → False) → v1_funct_1 X1 → v1_relat_1 X1 → v1_valued_0 X1 → False) → (∀X1, (v1_funct_1 (k54_valued_1 X1) → False) → v1_funct_1 X1 → v1_relat_1 X1 → v3_valued_0 X1 → False) → (∀X1, (v1_funct_1 (k54_valued_1 X1) → False) → v1_funct_1 X1 → v1_relat_1 X1 → v1_valued_0 X1 → False) → (∀X1, (v4_valued_0 X1 → False) → v1_relat_1 X1 → v5_relat_1 X1 k5_numbers → False) → (∀X1, (v3_valued_0 X1 → False) → v1_relat_1 X1 → v5_relat_1 X1 k3_numbers → False) → (∀X1, (v3_valued_0 X1 → False) → v1_relat_1 X1 → v5_relat_1 X1 k4_numbers → False) → (∀X1, (v3_valued_0 X1 → False) → v1_relat_1 X1 → v5_relat_1 X1 k1_numbers → False) → (∀X1, (v1_valued_0 X1 → False) → v1_relat_1 X1 → v5_relat_1 X1 k2_numbers → False) → (∀X1, (v4_membered X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 k3_numbers) → False) → (∀X1, (v3_membered X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 k1_numbers) → False) → (∀X1, (v1_membered X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 k2_numbers) → False) → (∀X1, (v6_membered X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 k5_numbers) → False) → (∀X1, (v5_membered X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 k4_numbers) → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X1, (v5_relat_1 X1 k3_numbers → False) → v1_relat_1 X1 → v4_valued_0 X1 → False) → (∀X1, (v5_relat_1 X1 k4_numbers → False) → v1_relat_1 X1 → v4_valued_0 X1 → False) → (∀X1, (m1_subset_1 (k17_complex1 X1) k1_numbers → False) → v1_xcmplx_0 X1 → False) → (∀X1, (v1_xreal_0 X1 → False) → m1_subset_1 X1 k1_numbers → False) → (∀X1, (v6_membered X1 → False) → m1_subset_1 X1 k5_numbers → False) → (∀X1, ((k16_complex1 (k16_complex1 X1)) = (k16_complex1 X1) → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k17_complex1 (k17_complex1 X1)) = (k17_complex1 X1) → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k3_xcmplx_0 np__1 X1) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, (v4_valued_0 X1 → False) → v1_xboole_0 X1 → v1_relat_1 X1 → False) → (∀X1, (v3_valued_0 X1 → False) → v1_relat_1 X1 → v4_valued_0 X1 → False) → (∀X1, (v2_valued_0 X1 → False) → v1_relat_1 X1 → v3_valued_0 X1 → False) → (∀X1, (v1_valued_0 X1 → False) → v1_relat_1 X1 → v3_valued_0 X1 → False) → (∀X1, (v1_xreal_0 (k16_complex1 X1) → False) → v1_xcmplx_0 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, ((k17_complex1 X1) = (k16_complex1 X1) → False) → v1_xcmplx_0 X1 → False) → (∀X1, (v7_membered X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v4_membered X1 → False) → v5_membered X1 → False) → (∀X1, (v1_xreal_0 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v3_membered X1 → False) → v4_membered X1 → False) → (∀X1, (v1_xxreal_0 X1 → False) → v1_xreal_0 X1 → False) → (∀X1, (v2_membered X1 → False) → v3_membered X1 → False) → (∀X1, (v1_xcmplx_0 X1 → False) → v1_xreal_0 X1 → False) → (∀X1, (v1_membered X1 → False) → v3_membered X1 → False) → (∀X1, (v6_membered X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v5_membered X1 → False) → v6_membered X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (r2_relset_1 esk1_0 k1_numbers (k55_valued_1 esk1_0 k2_numbers (k19_valued_1 esk1_0 k2_numbers k2_numbers esk2_0 esk3_0)) (k20_valued_1 esk1_0 k1_numbers k1_numbers (k55_valued_1 esk1_0 k2_numbers esk2_0) (k55_valued_1 esk1_0 k2_numbers esk3_0)) → False) → (v1_finset_1 k3_numbers → False) → (v1_finset_1 k4_numbers → False) → (v1_finset_1 k1_numbers → False) → (v1_finset_1 k2_numbers → False) → (v1_xboole_0 esk15_0 → False) → (v1_xboole_0 esk13_0 → False) → (v1_xboole_0 esk9_0 → False) → (v1_xboole_0 esk1_0 → False) → (v1_xboole_0 np__1 → False) → (v1_xboole_0 k3_numbers → False) → (v1_xboole_0 k4_numbers → False) → (v1_xboole_0 k1_numbers → False) → (v1_xboole_0 k2_numbers → False) → (∀X2 X1, (m1_subset_1 (esk10_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → False) → ((m1_subset_1 esk3_0 (k1_zfmisc_1 (k2_zfmisc_1 esk1_0 k2_numbers)) → False) → False) → ((m1_subset_1 esk2_0 (k1_zfmisc_1 (k2_zfmisc_1 esk1_0 k2_numbers)) → False) → False) → ((m2_subset_1 np__1 k1_numbers k5_numbers → False) → False) → (∀X1 X2, (v4_relat_1 (esk10_2 X1 X2) X1 → False) → False) → (∀X2 X1, (v5_relat_1 (esk10_2 X1 X2) X2 → False) → False) → (∀X1 X2, (v1_relat_1 (esk10_2 X1 X2) → False) → False) → (∀X1 X2, (v1_xboole_0 (esk10_2 X1 X2) → False) → False) → (∀X2 X1, ((k3_xboole_0 X1 X2) = (k3_xboole_0 X2 X1) → False) → False) → (∀X1, (m1_subset_1 (esk7_1 X1) X1 → False) → False) → ((m1_subset_1 k5_numbers (k1_zfmisc_1 k1_numbers) → False) → False) → (∀X1, ((k3_xboole_0 X1 X1) = X1 → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → (∀X1, ((k3_xboole_0 X1 k1_xboole_0) = k1_xboole_0 → False) → False) → ((m1_subset_1 np__1 k5_numbers → False) → False) → ((m1_subset_1 np__1 k1_numbers → False) → False) → ((m1_subset_1 k1_xboole_0 k4_ordinal1 → False) → False) → (((k3_xcmplx_0 np__1 np__1) = np__1 → False) → False) → ((v3_xxreal_0 esk16_0 → False) → False) → ((v2_xxreal_0 esk14_0 → False) → False) → ((v2_xxreal_0 np__1 → False) → False) → ((v7_membered esk15_0 → False) → False) → ((v7_membered k4_ordinal1 → False) → False) → ((v7_membered k3_numbers → False) → False) → ((v7_membered k4_numbers → False) → False) → ((v7_membered k1_numbers → False) → False) → ((v7_membered k2_numbers → False) → False) → ((v4_valued_0 esk11_0 → False) → False) → ((v4_membered k3_numbers → False) → False) → ((v1_xreal_0 esk17_0 → False) → False) → ((v1_xreal_0 esk16_0 → False) → False) → ((v1_xreal_0 esk14_0 → False) → False) → ((v1_xreal_0 esk12_0 → False) → False) → ((v3_membered k1_numbers → False) → False) → ((v1_xxreal_0 esk17_0 → False) → False) → ((v1_xxreal_0 esk16_0 → False) → False) → ((v1_xxreal_0 esk14_0 → False) → False) → ((v1_xcmplx_0 esk17_0 → False) → False) → ((v1_xcmplx_0 esk16_0 → False) → False) → ((v1_xcmplx_0 esk14_0 → False) → False) → ((v1_membered k2_numbers → False) → False) → ((v6_membered esk15_0 → False) → False) → ((v6_membered esk13_0 → False) → False) → ((v6_membered esk9_0 → False) → False) → ((v6_membered k4_ordinal1 → False) → False) → ((v1_relat_1 esk11_0 → False) → False) → ((v5_membered k4_numbers → False) → False) → ((v1_funct_1 esk11_0 → False) → False) → ((v1_funct_1 esk3_0 → False) → False) → ((v1_funct_1 esk2_0 → False) → False) → ((v1_xboole_0 esk17_0 → False) → False) → ((v1_xboole_0 o_0_0_xboole_0 → False) → False) → ((k5_numbers = k4_ordinal1 → False) → False) → ((o_0_0_xboole_0 = k1_xboole_0 → False) → False) → False
In Proofgold the corresponding term root is 8f4557... and proposition id is 7acdab...
Proof:
The rest of the proof is missing.