Theorem. (
t27_ordinal1)
∀v1_xboole_0 : set → prop, ∀m1_subset_1 : set → set → prop, ∀k1_zfmisc_1 : set → set, ∀esk1_0 : set, ∀esk2_1 : set → set, ∀v1_ordinal1 : set → prop, ∀v1_zfmisc_1 : set → prop, ∀esk22_1 : set → set, ∀esk19_1 : set → set, ∀v2_funct_1 : set → prop, ∀v3_relat_1 : set → prop, ∀esk17_1 : set → set, ∀esk20_0 : set, ∀esk18_0 : set, ∀esk12_0 : set, ∀esk5_1 : set → set, ∀esk16_0 : set, ∀esk11_0 : set, ∀o_0_0_xboole_0 : set, ∀esk7_0 : set, ∀esk10_0 : set, ∀esk6_0 : set, ∀esk13_0 : set, ∀esk14_1 : set → set, ∀esk8_0 : set, ∀esk15_0 : set, ∀esk23_0 : set, ∀esk26_1 : set → set, ∀v2_ordinal1 : set → prop, ∀v2_relat_1 : set → prop, ∀v3_funct_1 : set → prop, ∀esk9_1 : set → set, ∀esk21_1 : set → set, ∀esk3_1 : set → set, ∀v4_funct_1 : set → prop, ∀v1_relat_1 : set → prop, ∀v1_funct_1 : set → prop, ∀v1_subset_1 : set → set → prop, ∀esk4_2 : set → set → set, ∀esk25_2 : set → set → set, ∀r1_ordinal1 : set → set → prop, ∀r1_tarski : set → set → prop, ∀k1_xboole_0 : set, ∀esk24_2 : set → set → set, ∀k1_tarski : set → set, ∀k2_xboole_0 : set → set → set, ∀v3_ordinal1 : set → prop, ∀r2_hidden : set → set → prop, (∀X2 X1 X3, (r2_hidden X1 X3 → False) → (r2_hidden X1 (esk24_2 X3 X2) → False) → v3_ordinal1 X2 → r2_hidden X1 (k2_xboole_0 X2 (k1_tarski X2)) → False) → (∀X3 X1 X2, (r2_hidden X1 (k2_xboole_0 X2 (k1_tarski X2)) → False) → v3_ordinal1 X2 → r2_hidden X1 (esk24_2 X3 X2) → False) → (∀X3 X1 X2, (X2 = k1_xboole_0 → False) → (r1_ordinal1 (esk25_2 X2 X3) X1 → False) → v3_ordinal1 X3 → v3_ordinal1 X1 → r2_hidden X1 X2 → r1_tarski X2 X3 → False) → (∀X2 X1 X3, v3_ordinal1 X3 → r2_hidden X1 X2 → r2_hidden X1 (esk24_2 X2 X3) → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → r2_hidden (esk4_2 X1 X2) X2 → False) → (∀X1, v3_ordinal1 X1 → v1_xboole_0 (k2_xboole_0 X1 (k1_tarski X1)) → False) → (∀X2 X1, (X1 = k1_xboole_0 → False) → (r2_hidden (esk25_2 X1 X2) X1 → False) → v3_ordinal1 X2 → r1_tarski X1 X2 → 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, v1_xboole_0 X1 → v1_subset_1 X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1 X3, v1_xboole_0 X3 → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X2 X1, (X1 = k1_xboole_0 → False) → (v3_ordinal1 (esk25_2 X1 X2) → False) → v3_ordinal1 X2 → r1_tarski X1 X2 → False) → (∀X1 X3 X2, (r2_hidden X3 X2 → False) → r2_hidden X3 X1 → r1_tarski X1 X2 → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (v1_subset_1 X2 X1 → False) → v1_xboole_0 X2 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (v1_subset_1 X2 X1 → False) → v1_xboole_0 X2 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (r1_tarski X1 X2 → False) → (r2_hidden (esk4_2 X1 X2) X1 → False) → False) → (∀X1, (r2_hidden X1 esk1_0 → False) → v3_ordinal1 X1 → r1_ordinal1 X1 (esk2_1 X1) → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (k2_xboole_0 X1 X2) → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (k2_xboole_0 X2 X1) → False) → (∀X1 X2, (r1_tarski X1 X2 → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → r1_ordinal1 X1 X2 → False) → (∀X1 X2, (r1_ordinal1 X1 X2 → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → r1_tarski X1 X2 → False) → (∀X1 X2, (v1_funct_1 X2 → False) → v1_funct_1 X1 → v1_relat_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1, (r2_hidden X1 esk1_0 → False) → v3_ordinal1 X1 → r2_hidden (esk2_1 X1) esk1_0 → False) → (∀X1, (v3_ordinal1 (k2_xboole_0 X1 (k1_tarski X1)) → False) → v3_ordinal1 X1 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X1, (X1 = X2 → False) → (r2_hidden X2 X1 → False) → (r2_hidden X1 X2 → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X2 X1, r2_hidden X2 X1 → r2_hidden X1 X2 → False) → (∀X2 X1, (v1_relat_1 (k2_xboole_0 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → False) → (∀X2 X1, (r1_tarski X2 X1 → False) → v1_ordinal1 X1 → r2_hidden X2 X1 → False) → (∀X1 X2, (v4_funct_1 X2 → False) → v4_funct_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_zfmisc_1 X2 → False) → v1_zfmisc_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_relat_1 X2 → False) → v1_relat_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → v1_xboole_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, (r1_ordinal1 X2 X1 → False) → (r1_ordinal1 X1 X2 → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → r1_tarski X1 X2 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden X1 X2 → False) → m1_subset_1 X1 X2 → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X1, (v1_ordinal1 X1 → False) → r1_tarski (esk3_1 X1) X1 → False) → (∀X2 X1, (v1_relat_1 X1 → False) → v4_funct_1 X2 → m1_subset_1 X1 X2 → False) → (∀X2 X1, (v1_funct_1 X1 → False) → v4_funct_1 X2 → m1_subset_1 X1 X2 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → (m1_subset_1 (esk22_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk21_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk19_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk9_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v3_ordinal1 (esk2_1 X1) → False) → (r2_hidden X1 esk1_0 → False) → v3_ordinal1 X1 → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X2 X1, (r1_ordinal1 X1 X1 → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X1, (v3_funct_1 X1 → False) → v1_funct_1 X1 → v1_relat_1 X1 → v1_zfmisc_1 X1 → False) → (∀X1, (v3_funct_1 X1 → False) → v1_funct_1 X1 → v1_relat_1 X1 → v1_zfmisc_1 X1 → False) → (∀X1, (v3_funct_1 X1 → False) → v1_xboole_0 X1 → v1_funct_1 X1 → v1_relat_1 X1 → False) → (∀X1, (v2_funct_1 X1 → False) → v1_xboole_0 X1 → v1_funct_1 X1 → v1_relat_1 X1 → False) → (∀X1, (v1_ordinal1 X1 → False) → (r2_hidden (esk3_1 X1) X1 → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_subset_1 (esk19_1 X1) X1 → False) → False) → (∀X1, (v4_funct_1 (k1_tarski X1) → False) → v1_funct_1 X1 → v1_relat_1 X1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_zfmisc_1 (esk22_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk21_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk9_1 X1) → False) → (∀X1, (v2_relat_1 X1 → False) → v1_xboole_0 X1 → v1_relat_1 X1 → False) → (∀X1, (v3_relat_1 X1 → False) → v1_xboole_0 X1 → v1_relat_1 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v1_ordinal1 X1 → v2_ordinal1 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_zfmisc_1 (esk21_1 X1) → False) → False) → (∀X1, (v4_funct_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_relat_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v2_ordinal1 X1 → False) → v3_ordinal1 X1 → False) → (∀X1, (v1_ordinal1 X1 → False) → v3_ordinal1 X1 → False) → (∀X1, (v1_funct_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (∀X1, v1_xboole_0 (k2_xboole_0 X1 (k1_tarski X1)) → False) → (∀X1, v1_subset_1 (esk17_1 X1) X1 → False) → (∀X1, r2_hidden (esk26_1 X1) X1 → False) → (∀X1, v1_xboole_0 (k1_tarski X1) → False) → (∀X1, v1_xboole_0 (k1_zfmisc_1 X1) → False) → (v3_funct_1 esk20_0 → False) → (v1_xboole_0 esk23_0 → False) → (v1_xboole_0 esk18_0 → False) → (v1_xboole_0 esk15_0 → False) → (v1_xboole_0 esk12_0 → False) → (v1_xboole_0 esk8_0 → False) → (∀X1, (r2_hidden X1 (k2_xboole_0 X1 (k1_tarski X1)) → False) → False) → (∀X2 X1, ((k2_xboole_0 X1 X2) = (k2_xboole_0 X2 X1) → False) → False) → (∀X1, (m1_subset_1 (esk17_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (m1_subset_1 (esk14_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (m1_subset_1 (esk5_1 X1) X1 → False) → False) → (∀X1, ((k2_xboole_0 X1 X1) = X1 → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → (∀X1, ((k2_xboole_0 X1 k1_xboole_0) = X1 → False) → False) → (∀X1, (v1_xboole_0 (esk14_1 X1) → False) → False) → (∀X1, (v3_ordinal1 (esk26_1 X1) → False) → False) → ((v4_funct_1 esk23_0 → False) → False) → ((v2_relat_1 esk18_0 → False) → False) → ((v2_relat_1 esk16_0 → False) → False) → ((v2_relat_1 esk13_0 → False) → False) → ((v2_funct_1 esk11_0 → False) → False) → ((v1_relat_1 esk20_0 → False) → False) → ((v1_relat_1 esk18_0 → False) → False) → ((v1_relat_1 esk16_0 → False) → False) → ((v1_relat_1 esk13_0 → False) → False) → ((v1_relat_1 esk11_0 → False) → False) → ((v1_relat_1 esk8_0 → False) → False) → ((v1_relat_1 esk6_0 → False) → False) → ((v2_ordinal1 esk12_0 → False) → False) → ((v1_ordinal1 esk12_0 → False) → False) → ((v1_funct_1 esk20_0 → False) → False) → ((v1_funct_1 esk18_0 → False) → False) → ((v1_funct_1 esk16_0 → False) → False) → ((v1_funct_1 esk11_0 → False) → False) → ((v1_funct_1 esk6_0 → False) → False) → ((v1_xboole_0 esk10_0 → False) → False) → ((v1_xboole_0 o_0_0_xboole_0 → False) → False) → ((v1_xboole_0 k1_xboole_0 → False) → False) → ((v3_ordinal1 esk12_0 → False) → False) → ((v3_ordinal1 esk7_0 → False) → False) → ((o_0_0_xboole_0 = k1_xboole_0 → False) → False) → False