Theorem. (
t28_wellord1)
∀k2_tarski : set → set → set, ∀k1_tarski : set → set, ∀v8_relat_2 : set → prop, ∀v1_relat_1 : set → prop, ∀v4_relat_2 : set → prop, ∀esk8_1 : set → set, ∀esk10_1 : set → set, ∀k1_wellord1 : set → set → set, ∀esk9_1 : set → set, ∀esk11_1 : set → set, ∀esk12_1 : set → set, ∀esk23_2 : set → set → set, ∀m1_subset_1 : set → set → prop, ∀k1_zfmisc_1 : set → set, ∀k10_relat_1 : set → set → set, ∀v1_xboole_0 : set → prop, ∀k8_relat_1 : set → set → set, ∀k2_xboole_0 : set → set → set, ∀k9_xtuple_0 : set → set, ∀k10_xtuple_0 : set → set, ∀v3_funct_1 : set → prop, ∀esk22_0 : set, ∀esk16_0 : set, ∀esk19_0 : set, ∀esk17_0 : set, ∀o_0_0_xboole_0 : set, ∀esk15_0 : set, ∀esk18_0 : set, ∀esk7_1 : set → set, ∀esk20_0 : set, ∀esk21_0 : set, ∀v3_relat_1 : set → prop, ∀v2_funct_1 : set → prop, ∀v2_relat_1 : set → prop, ∀v1_setfam_1 : set → prop, ∀v1_zfmisc_1 : set → prop, ∀v1_wellord1 : set → prop, ∀v1_relat_2 : set → prop, ∀v4_funct_1 : set → prop, ∀v1_funct_1 : set → prop, ∀esk3_0 : set, ∀esk4_0 : set, ∀esk5_0 : set, ∀esk2_0 : set, ∀esk1_0 : set, ∀esk13_1 : set → set, ∀esk14_1 : set → set, ∀v6_relat_2 : set → prop, ∀esk24_2 : set → set → set, ∀v2_wellord1 : set → prop, ∀r1_tarski : set → set → prop, ∀k1_relat_1 : set → set, ∀k1_xboole_0 : set, ∀r2_hidden : set → set → prop, ∀esk6_3 : set → set → set → set, ∀k6_subset_1 : set → set → set, (∀X1 X3 X2, (X3 = (k6_subset_1 X1 X2) → False) → (r2_hidden (esk6_3 X1 X2 X3) X2 → False) → r2_hidden (esk6_3 X1 X2 X3) X3 → r2_hidden (esk6_3 X1 X2 X3) X1 → False) → (∀X3 X2 X4 X1, (r2_hidden (k2_tarski (k2_tarski X2 X4) (k1_tarski X2)) X1 → False) → v1_relat_1 X1 → v8_relat_2 X1 → r2_hidden (k2_tarski (k2_tarski X3 X4) (k1_tarski X3)) X1 → r2_hidden (k2_tarski (k2_tarski X2 X3) (k1_tarski X2)) X1 → False) → (∀X3 X1 X2, (X2 = k1_xboole_0 → False) → (r2_hidden (k2_tarski (k2_tarski (esk24_2 X3 X2) X1) (k1_tarski (esk24_2 X3 X2))) X3 → False) → v1_relat_1 X3 → v2_wellord1 X3 → r2_hidden X1 X2 → r1_tarski X2 (k1_relat_1 X3) → False) → (∀X1 X2 X3, (X2 = X3 → False) → v1_relat_1 X1 → v4_relat_2 X1 → r2_hidden (k2_tarski (k2_tarski X3 X2) (k1_tarski X3)) X1 → r2_hidden (k2_tarski (k2_tarski X2 X3) (k1_tarski X2)) X1 → False) → (∀X2 X3 X1, (X3 = (k6_subset_1 X1 X2) → False) → (r2_hidden (esk6_3 X1 X2 X3) X3 → False) → r2_hidden (esk6_3 X1 X2 X3) X2 → False) → (∀X1, (v8_relat_2 X1 → False) → v1_relat_1 X1 → r2_hidden (k2_tarski (k2_tarski (esk8_1 X1) (esk10_1 X1)) (k1_tarski (esk8_1 X1))) X1 → False) → (∀X1, (v6_relat_2 X1 → False) → v1_relat_1 X1 → r2_hidden (k2_tarski (k2_tarski (esk14_1 X1) (esk13_1 X1)) (k1_tarski (esk14_1 X1))) X1 → False) → (∀X1, (v6_relat_2 X1 → False) → v1_relat_1 X1 → r2_hidden (k2_tarski (k2_tarski (esk13_1 X1) (esk14_1 X1)) (k1_tarski (esk13_1 X1))) X1 → False) → (∀X1 X2 X3, (X2 = X3 → False) → (r2_hidden (k2_tarski (k2_tarski X3 X2) (k1_tarski X3)) X1 → False) → (r2_hidden (k2_tarski (k2_tarski X2 X3) (k1_tarski X2)) X1 → False) → v1_relat_1 X1 → v6_relat_2 X1 → r2_hidden X3 (k1_relat_1 X1) → r2_hidden X2 (k1_relat_1 X1) → False) → (∀X1 X3 X2, (X3 = (k6_subset_1 X1 X2) → False) → (r2_hidden (esk6_3 X1 X2 X3) X3 → False) → (r2_hidden (esk6_3 X1 X2 X3) X1 → False) → False) → (∀X2 X1, ((k1_relat_1 esk2_0) = esk1_0 → False) → (r2_hidden X2 esk1_0 → False) → (r2_hidden esk5_0 (k1_relat_1 esk2_0) → False) → r2_hidden X1 esk1_0 → r2_hidden (k2_tarski (k2_tarski X2 X1) (k1_tarski X2)) esk2_0 → False) → (∀X3 X1 X2, (X1 = X2 → False) → (r2_hidden X1 (k1_wellord1 X3 X2) → False) → v1_relat_1 X3 → r2_hidden (k2_tarski (k2_tarski X1 X2) (k1_tarski X1)) X3 → False) → (∀X1 X2, ((k1_relat_1 esk2_0) = esk1_0 → False) → ((k1_wellord1 esk2_0 esk5_0) = esk1_0 → False) → (r2_hidden X2 esk1_0 → False) → r2_hidden X1 esk1_0 → r2_hidden (k2_tarski (k2_tarski X2 X1) (k1_tarski X2)) esk2_0 → False) → (∀X3 X1 X2, (r2_hidden X1 (k1_relat_1 X2) → False) → v1_relat_1 X2 → r2_hidden (k2_tarski (k2_tarski X1 X3) (k1_tarski X1)) X2 → False) → (∀X3 X1 X2, (r2_hidden X1 (k1_relat_1 X2) → False) → v1_relat_1 X2 → r2_hidden (k2_tarski (k2_tarski X3 X1) (k1_tarski X3)) X2 → False) → (∀X1, (v8_relat_2 X1 → False) → (r2_hidden (k2_tarski (k2_tarski (esk9_1 X1) (esk10_1 X1)) (k1_tarski (esk9_1 X1))) X1 → False) → v1_relat_1 X1 → False) → (∀X1, (v8_relat_2 X1 → False) → (r2_hidden (k2_tarski (k2_tarski (esk8_1 X1) (esk9_1 X1)) (k1_tarski (esk8_1 X1))) X1 → False) → v1_relat_1 X1 → False) → (∀X1, (v4_relat_2 X1 → False) → (r2_hidden (k2_tarski (k2_tarski (esk12_1 X1) (esk11_1 X1)) (k1_tarski (esk12_1 X1))) X1 → False) → v1_relat_1 X1 → False) → (∀X1, (v4_relat_2 X1 → False) → (r2_hidden (k2_tarski (k2_tarski (esk11_1 X1) (esk12_1 X1)) (k1_tarski (esk11_1 X1))) X1 → False) → v1_relat_1 X1 → False) → (∀X2 X1 X3, (r2_hidden (k2_tarski (k2_tarski X1 X2) (k1_tarski X1)) X3 → False) → v1_relat_1 X3 → r2_hidden X1 (k1_wellord1 X3 X2) → False) → (∀X1, (r2_hidden (k2_tarski (k2_tarski esk4_0 esk3_0) (k1_tarski esk4_0)) esk2_0 → False) → (k1_wellord1 esk2_0 X1) = esk1_0 → r2_hidden X1 (k1_relat_1 esk2_0) → False) → (∀X1 X2, (X1 = X2 → False) → r2_hidden (esk23_2 X1 X2) X2 → r2_hidden (esk23_2 X1 X2) X1 → False) → ((r2_hidden (k2_tarski (k2_tarski esk4_0 esk3_0) (k1_tarski esk4_0)) esk2_0 → False) → (k1_relat_1 esk2_0) = esk1_0 → False) → (∀X1 X2, (X2 = k1_xboole_0 → False) → (r2_hidden (esk24_2 X1 X2) X2 → False) → v1_relat_1 X1 → v2_wellord1 X1 → r1_tarski X2 (k1_relat_1 X1) → False) → (∀X1 X2, (X1 = X2 → False) → (r2_hidden (esk23_2 X1 X2) X2 → False) → (r2_hidden (esk23_2 X1 X2) X1 → False) → False) → (∀X3 X2 X1 X4, (r2_hidden X1 X4 → False) → (r2_hidden X1 X3 → False) → X4 = (k6_subset_1 X2 X3) → r2_hidden X1 X2 → False) → (∀X3 X1 X2, X1 = X2 → v1_relat_1 X3 → r2_hidden X1 (k1_wellord1 X3 X2) → False) → (∀X2 X1 X3, (m1_subset_1 X1 X3 → False) → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X4 X3 X2 X1, X3 = (k6_subset_1 X4 X2) → r2_hidden X1 X3 → r2_hidden X1 X2 → False) → (∀X2 X1, ((k6_subset_1 (k10_relat_1 X1 X2) (k1_tarski X2)) = (k1_wellord1 X1 X2) → False) → v1_relat_1 X1 → False) → (∀X1, (k1_wellord1 esk2_0 X1) = esk1_0 → r2_hidden esk4_0 esk1_0 → r2_hidden X1 (k1_relat_1 esk2_0) → 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 = (k6_subset_1 X2 X4) → r2_hidden X1 X3 → False) → (∀X1, (r2_hidden esk3_0 esk1_0 → False) → (k1_wellord1 esk2_0 X1) = esk1_0 → r2_hidden X1 (k1_relat_1 esk2_0) → False) → (∀X1 X2, (v4_funct_1 (k2_tarski X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → False) → (∀X1 X2, (v1_funct_1 X2 → False) → v1_relat_1 X1 → v1_funct_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1, (v2_wellord1 X1 → False) → v1_relat_1 X1 → v1_relat_2 X1 → v4_relat_2 X1 → v6_relat_2 X1 → v8_relat_2 X1 → v1_wellord1 X1 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X1, r2_hidden X2 X1 → r2_hidden X1 X2 → False) → (∀X2 X1, (v1_xboole_0 (k8_relat_1 X1 X2) → False) → v1_relat_1 X1 → v1_xboole_0 X1 → False) → (∀X1 X2, (v1_xboole_0 (k8_relat_1 X1 X2) → False) → v1_relat_1 X1 → v1_xboole_0 X2 → False) → (∀X2 X1, (v1_relat_1 (k2_xboole_0 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 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_relat_1 X2 → False) → v1_relat_1 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) → (∀X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden X1 X2 → False) → m1_subset_1 X1 X2 → False) → (∀X2 X1, ((k8_relat_1 X1 (k1_tarski X2)) = (k10_relat_1 X1 X2) → False) → v1_relat_1 X1 → False) → (∀X1, (v6_relat_2 X1 → False) → (r2_hidden (esk14_1 X1) (k1_relat_1 X1) → False) → v1_relat_1 X1 → False) → (∀X1, (v6_relat_2 X1 → False) → (r2_hidden (esk13_1 X1) (k1_relat_1 X1) → False) → v1_relat_1 X1 → False) → (∀X1, ((k2_xboole_0 (k9_xtuple_0 X1) (k10_xtuple_0 X1)) = (k1_relat_1 X1) → False) → v1_relat_1 X1 → False) → (∀X2 X1, (v1_relat_1 (k6_subset_1 X1 X2) → False) → v1_relat_1 X1 → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v1_zfmisc_1 (k9_xtuple_0 X1) → False) → (∀X1, (v3_funct_1 X1 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v1_zfmisc_1 (k10_xtuple_0 X1) → False) → (∀X2 X1, (v1_funct_1 X1 → False) → v4_funct_1 X2 → m1_subset_1 X1 X2 → False) → (∀X2 X1, (v1_relat_1 X1 → False) → v4_funct_1 X2 → m1_subset_1 X1 X2 → False) → (∀X1, (v1_setfam_1 (k10_xtuple_0 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → v2_relat_1 X1 → False) → (∀X1, (v1_zfmisc_1 (k10_xtuple_0 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → v3_funct_1 X1 → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_relat_1 X1 → v1_xboole_0 (k10_xtuple_0 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_relat_1 X1 → v1_xboole_0 (k9_xtuple_0 X1) → False) → (∀X1, (v3_funct_1 X1 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v1_zfmisc_1 X1 → False) → (∀X1, (v3_funct_1 X1 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v1_zfmisc_1 X1 → False) → (∀X1, (v3_funct_1 X1 → False) → v1_relat_1 X1 → v1_xboole_0 X1 → v1_funct_1 X1 → False) → (∀X1, (v2_funct_1 X1 → False) → v1_relat_1 X1 → v1_xboole_0 X1 → v1_funct_1 X1 → False) → (∀X1, (v4_funct_1 (k1_tarski X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1, (v1_zfmisc_1 (k10_xtuple_0 X1) → False) → v1_relat_1 X1 → v1_zfmisc_1 X1 → False) → (∀X1, (v1_zfmisc_1 (k9_xtuple_0 X1) → False) → v1_relat_1 X1 → v1_zfmisc_1 X1 → False) → (∀X1, (v6_relat_2 X1 → False) → (esk14_1 X1) = (esk13_1 X1) → v1_relat_1 X1 → False) → (∀X1, (v4_relat_2 X1 → False) → (esk12_1 X1) = (esk11_1 X1) → v1_relat_1 X1 → False) → ((k1_relat_1 esk2_0) = esk1_0 → r2_hidden esk4_0 esk1_0 → False) → (∀X1, (v2_relat_1 X1 → False) → v1_relat_1 X1 → v1_xboole_0 X1 → False) → (∀X1, (v3_relat_1 X1 → False) → v1_relat_1 X1 → v1_xboole_0 X1 → False) → (∀X1, (v1_wellord1 X1 → False) → v1_relat_1 X1 → v2_wellord1 X1 → False) → (∀X1, (v8_relat_2 X1 → False) → v1_relat_1 X1 → v2_wellord1 X1 → False) → (∀X1, (v6_relat_2 X1 → False) → v1_relat_1 X1 → v2_wellord1 X1 → False) → (∀X1, (v4_relat_2 X1 → False) → v1_relat_1 X1 → v2_wellord1 X1 → False) → (∀X1, (v1_relat_2 X1 → False) → v1_relat_1 X1 → v2_wellord1 X1 → False) → (∀X1, (v1_xboole_0 (k10_xtuple_0 X1) → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_xboole_0 (k9_xtuple_0 X1) → False) → v1_xboole_0 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → ((r2_hidden esk3_0 esk1_0 → False) → (k1_relat_1 esk2_0) = esk1_0 → False) → (∀X1, (v4_funct_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_funct_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_relat_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (v3_funct_1 esk21_0 → False) → (v1_xboole_0 esk22_0 → False) → (v1_xboole_0 esk20_0 → False) → (v1_xboole_0 esk16_0 → False) → (∀X1 X2 X3 X4, (v1_relat_1 (k2_tarski (k2_tarski (k2_tarski X1 X2) (k1_tarski X1)) (k2_tarski (k2_tarski X3 X4) (k1_tarski X3))) → False) → False) → (∀X1 X2, (v1_funct_1 (k1_tarski (k2_tarski (k2_tarski X1 X2) (k1_tarski X1))) → False) → False) → (∀X1 X2, (v1_relat_1 (k1_tarski (k2_tarski (k2_tarski X1 X2) (k1_tarski X1))) → False) → False) → (∀X1 X2, (m1_subset_1 (k6_subset_1 X1 X2) (k1_zfmisc_1 X1) → False) → False) → (∀X2 X1, ((k2_xboole_0 X1 X2) = (k2_xboole_0 X2 X1) → False) → False) → (∀X2 X1, ((k2_tarski X1 X2) = (k2_tarski X2 X1) → False) → False) → (∀X1, (m1_subset_1 (esk7_1 X1) X1 → False) → False) → ((r1_tarski esk1_0 (k1_relat_1 esk2_0) → False) → False) → (∀X1, ((k2_xboole_0 X1 X1) = X1 → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → (∀X1, ((k6_subset_1 X1 k1_xboole_0) = X1 → False) → False) → (∀X1, ((k2_xboole_0 X1 k1_xboole_0) = X1 → False) → False) → (∀X1, ((k6_subset_1 k1_xboole_0 X1) = k1_xboole_0 → False) → False) → ((v4_funct_1 esk22_0 → False) → False) → ((v2_relat_1 esk20_0 → False) → False) → ((v2_relat_1 esk19_0 → False) → False) → ((v2_relat_1 esk18_0 → False) → False) → ((v2_funct_1 esk17_0 → False) → False) → ((v1_funct_1 esk21_0 → False) → False) → ((v1_funct_1 esk20_0 → False) → False) → ((v1_funct_1 esk19_0 → False) → False) → ((v1_funct_1 esk17_0 → False) → False) → ((v1_funct_1 esk15_0 → False) → False) → ((v1_xboole_0 o_0_0_xboole_0 → False) → False) → ((v2_wellord1 esk2_0 → False) → False) → ((v1_relat_1 esk21_0 → False) → False) → ((v1_relat_1 esk20_0 → False) → False) → ((v1_relat_1 esk19_0 → False) → False) → ((v1_relat_1 esk18_0 → False) → False) → ((v1_relat_1 esk17_0 → False) → False) → ((v1_relat_1 esk16_0 → False) → False) → ((v1_relat_1 esk15_0 → False) → False) → ((v1_relat_1 esk2_0 → False) → False) → ((o_0_0_xboole_0 = k1_xboole_0 → False) → False) → False