Theorem. (
t11_card_lar)
∀esk1_0 : set, ∀esk3_0 : set, ∀esk2_0 : set, ∀k7_subset_1 : set → set → set → set, ∀v1_card_lar : set → set → prop, ∀v2_card_lar : set → set → prop, ∀v1_finset_1 : set → prop, ∀v3_ordinal1 : set → prop, ∀v4_ordinal1 : set → prop, ∀m1_subset_1 : set → set → prop, ∀k1_zfmisc_1 : set → set, ∀k8_subset_1 : set → set → set → set, ∀k3_ordinal2 : set → set, ∀esk5_2 : set → set → set, ∀r1_ordinal1 : set → set → prop, ∀esk22_2 : set → set → set, ∀k3_xboole_0 : set → set → set, ∀v4_card_3 : set → prop, ∀k1_xboole_0 : set, ∀esk4_1 : set → set, ∀esk16_1 : set → set, ∀v2_ordinal1 : set → prop, ∀v5_card_3 : set → prop, ∀v5_ordinal1 : set → prop, ∀esk14_0 : set, ∀esk15_0 : set, ∀esk19_0 : set, ∀esk17_0 : set, ∀esk12_0 : set, ∀esk10_0 : set, ∀esk8_0 : set, ∀esk11_0 : set, ∀esk7_1 : set → set, ∀esk9_0 : set, ∀esk13_0 : set, ∀esk20_0 : set, ∀v7_ordinal1 : set → prop, ∀esk18_1 : set → set, ∀v3_card_1 : set → set → prop, ∀v1_card_1 : set → prop, ∀v6_ordinal1 : set → prop, ∀v1_ordinal1 : set → prop, ∀r1_xboole_0 : set → set → prop, ∀v1_xboole_0 : set → prop, ∀r1_tarski : set → set → prop, ∀esk21_3 : set → set → set → set, ∀r2_hidden : set → set → prop, ∀esk6_3 : set → set → set → set, ∀k4_xboole_0 : set → set → set, (∀X1 X3 X2, (X3 = (k4_xboole_0 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) → (v2_card_lar (k7_subset_1 esk1_0 esk3_0 esk2_0) esk1_0 → v1_card_lar (k7_subset_1 esk1_0 esk3_0 esk2_0) esk1_0 → False) → (∀X2 X3 X1, (X3 = (k4_xboole_0 X1 X2) → False) → (r2_hidden (esk6_3 X1 X2 X3) X3 → False) → r2_hidden (esk6_3 X1 X2 X3) X2 → False) → (∀X2 X1 X3, (v1_finset_1 X3 → False) → (v1_finset_1 X2 → False) → (r2_hidden X3 X1 → False) → (k3_ordinal2 (k8_subset_1 X2 X1 X3)) = X3 → v3_ordinal1 X3 → v3_ordinal1 X2 → v4_ordinal1 X3 → v4_ordinal1 X2 → r2_hidden X3 X2 → v2_card_lar X1 X2 → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X1 X3 X2, (X3 = (k4_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 X1, ((k3_ordinal2 (k8_subset_1 X1 X2 (esk5_2 X1 X2))) = (esk5_2 X1 X2) → False) → (v1_finset_1 X1 → False) → (v2_card_lar X2 X1 → False) → v3_ordinal1 X1 → v4_ordinal1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X3 X2 X1, (v1_finset_1 X1 → False) → (r2_hidden (esk21_3 X1 X2 X3) X2 → False) → v3_ordinal1 X3 → v3_ordinal1 X1 → v4_ordinal1 X1 → r2_hidden X3 X1 → v1_card_lar X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X3 X1 X2, (v1_finset_1 X2 → False) → (r1_ordinal1 X1 (esk21_3 X2 X3 X1) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → v4_ordinal1 X2 → r2_hidden X1 X2 → v1_card_lar X3 X2 → m1_subset_1 X3 (k1_zfmisc_1 X2) → False) → (∀X3 X2 X1, (v1_finset_1 X1 → False) → (v3_ordinal1 (esk21_3 X1 X2 X3) → False) → v3_ordinal1 X3 → v3_ordinal1 X1 → v4_ordinal1 X1 → r2_hidden X3 X1 → v1_card_lar X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X3 X2 X1, (m1_subset_1 (k8_subset_1 X2 X1 X3) (k1_zfmisc_1 X2) → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X3 X2 X1, (m1_subset_1 (k7_subset_1 X2 X1 X3) (k1_zfmisc_1 X2) → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X1 X3, (v1_finset_1 X3 → False) → (v1_card_lar X2 X3 → False) → v3_ordinal1 X3 → v3_ordinal1 X1 → v4_ordinal1 X3 → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → r1_ordinal1 (esk22_2 X3 X2) X1 → False) → (∀X3 X2 X1, ((k8_subset_1 X2 X1 X3) = (k8_subset_1 X2 X3 X1) → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X1, (v1_finset_1 X1 → False) → (v2_card_lar X2 X1 → False) → v3_ordinal1 X1 → v4_ordinal1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → r2_hidden (esk5_2 X1 X2) X2 → False) → (∀X2 X1, (v1_finset_1 X1 → False) → (v2_card_lar X2 X1 → False) → v3_ordinal1 X1 → v4_ordinal1 X1 → v1_finset_1 (esk5_2 X1 X2) → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, (v1_finset_1 X1 → False) → (v1_card_lar X2 X1 → False) → (r2_hidden (esk22_2 X1 X2) X1 → False) → v3_ordinal1 X1 → v4_ordinal1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, (v1_finset_1 X1 → False) → (v2_card_lar X2 X1 → False) → (r2_hidden (esk5_2 X1 X2) X1 → False) → v3_ordinal1 X1 → v4_ordinal1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X3 X2 X1, ((k8_subset_1 X2 X1 X3) = (k3_xboole_0 X1 X3) → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X3 X2 X1, ((k7_subset_1 X2 X1 X3) = (k4_xboole_0 X1 X3) → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X1, (v1_finset_1 X1 → False) → (v1_card_lar X2 X1 → False) → (v3_ordinal1 (esk22_2 X1 X2) → False) → v3_ordinal1 X1 → v4_ordinal1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, (v1_finset_1 X1 → False) → (v2_card_lar X2 X1 → False) → (v4_ordinal1 (esk5_2 X1 X2) → False) → v3_ordinal1 X1 → v4_ordinal1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, (v1_finset_1 X1 → False) → (v2_card_lar X2 X1 → False) → (v3_ordinal1 (esk5_2 X1 X2) → False) → v3_ordinal1 X1 → v4_ordinal1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X3 X2 X1, (r1_tarski (k4_xboole_0 X3 X2) (k4_xboole_0 X3 X1) → False) → r1_tarski X1 X2 → False) → (∀X3 X2 X1, (r1_tarski (k3_xboole_0 X1 X3) (k3_xboole_0 X2 X3) → False) → r1_tarski X1 X2 → False) → (∀X2 X1, ((k8_subset_1 X2 X1 X1) = X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X3 X2 X1 X4, (r2_hidden X1 X4 → False) → (r2_hidden X1 X3 → False) → X4 = (k4_xboole_0 X2 X3) → r2_hidden 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) → (∀X4 X3 X2 X1, X3 = (k4_xboole_0 X4 X2) → r2_hidden X1 X3 → r2_hidden X1 X2 → 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 = (k4_xboole_0 X2 X4) → r2_hidden X1 X3 → False) → (∀X2 X1 X3, (r1_xboole_0 X1 X3 → False) → r1_tarski X1 X2 → r1_xboole_0 X2 X3 → False) → (∀X2 X1 X3, (r1_tarski X1 X3 → False) → r1_tarski X2 X3 → r1_tarski X1 X2 → 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) → (∀X2 X1, (r1_ordinal1 (k3_ordinal2 X1) (k3_ordinal2 X2) → False) → r1_tarski X1 X2 → False) → (∀X2 X1, (X1 = X2 → False) → r1_tarski X2 X1 → r1_tarski X1 X2 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X1 X2, r2_hidden X1 X2 → r1_tarski X2 X1 → False) → (∀X2 X1, r2_hidden X2 X1 → r2_hidden X1 X2 → False) → (∀X2 X1, (v3_ordinal1 (k3_xboole_0 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X2 X1, (r1_tarski X2 X1 → False) → v1_ordinal1 X1 → r2_hidden X2 X1 → False) → (∀X1 X2, (v4_card_3 X2 → False) → v4_card_3 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v6_ordinal1 X2 → False) → v6_ordinal1 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, (r2_hidden 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, (r1_xboole_0 X2 X1 → False) → r1_xboole_0 X1 X2 → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X1 X2, (r1_xboole_0 X1 X2 → False) → (k3_xboole_0 X1 X2) = k1_xboole_0 → False) → (∀X2 X1, ((k3_xboole_0 X1 X2) = k1_xboole_0 → False) → r1_xboole_0 X1 X2 → False) → (∀X1, (v1_ordinal1 X1 → False) → r1_tarski (esk4_1 X1) X1 → False) → (∀X1 X2, (v3_ordinal1 X2 → False) → v3_ordinal1 X1 → m1_subset_1 X2 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → (m1_subset_1 (esk16_1 X1) (k1_zfmisc_1 X1) → False) → 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_card_1 (esk18_1 X1) X1 → False) → v1_card_1 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → v3_ordinal1 X1 → v4_ordinal1 X1 → v1_finset_1 X1 → False) → (∀X1, (v1_ordinal1 X1 → False) → (r2_hidden (esk4_1 X1) X1 → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → v3_card_1 X1 k1_xboole_0 → False) → (∀X1, (v4_ordinal1 X1 → False) → (v1_finset_1 X1 → False) → v3_ordinal1 X1 → v1_card_1 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → v1_finset_1 (esk16_1 X1) → False) → (∀X1, (v1_finset_1 X1 → False) → v1_finset_1 (k1_zfmisc_1 X1) → False) → (∀X1, (v3_card_1 X1 k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (∀X1, (v7_ordinal1 X1 → False) → v3_ordinal1 X1 → v1_finset_1 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v1_ordinal1 X1 → v2_ordinal1 X1 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → X1 = X2 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → X1 = X2 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → (v5_card_3 X1 → False) → v4_card_3 X1 → False) → (∀X1, (v4_ordinal1 X1 → False) → (v1_finset_1 X1 → False) → v1_card_1 X1 → False) → (∀X1, v1_finset_1 X1 → v5_card_3 X1 → False) → (∀X1, ((k3_ordinal2 X1) = X1 → False) → v3_ordinal1 X1 → False) → (∀X1, (v5_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v4_card_3 X1 → False) → v5_card_3 X1 → False) → (∀X1, (v4_card_3 X1 → False) → v1_finset_1 X1 → False) → (∀X1, (v7_ordinal1 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_card_1 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v1_card_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v6_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v1_card_1 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (v1_xboole_0 esk20_0 → False) → (v1_xboole_0 esk14_0 → False) → (v1_xboole_0 esk13_0 → False) → (v1_finset_1 esk15_0 → False) → (v1_finset_1 esk9_0 → False) → (v1_finset_1 esk1_0 → False) → (∀X2 X1, (r1_xboole_0 (k4_xboole_0 X1 X2) X2 → False) → False) → (∀X1 X2, (r1_tarski (k4_xboole_0 X1 X2) X1 → False) → False) → (∀X1 X2, (r1_tarski (k3_xboole_0 X1 X2) X1 → 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 esk3_0 (k1_zfmisc_1 esk1_0) → False) → False) → (∀X1, ((k3_xboole_0 X1 X1) = X1 → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → (∀X1, ((k4_xboole_0 X1 k1_xboole_0) = X1 → False) → False) → (∀X1, ((k4_xboole_0 k1_xboole_0 X1) = k1_xboole_0 → False) → False) → (∀X1, ((k3_xboole_0 X1 k1_xboole_0) = k1_xboole_0 → False) → False) → ((v1_card_lar esk3_0 esk1_0 → False) → False) → ((v2_card_lar esk3_0 esk1_0 → False) → False) → ((r2_hidden esk2_0 esk1_0 → False) → False) → (∀X1, (v3_ordinal1 (k3_ordinal2 X1) → False) → False) → ((v5_card_3 esk19_0 → False) → False) → ((v7_ordinal1 esk20_0 → False) → False) → ((v7_ordinal1 esk17_0 → False) → False) → ((v2_ordinal1 esk13_0 → False) → False) → ((v2_ordinal1 esk12_0 → False) → False) → ((v2_ordinal1 esk9_0 → False) → False) → ((v1_ordinal1 esk13_0 → False) → False) → ((v1_ordinal1 esk12_0 → False) → False) → ((v1_ordinal1 esk9_0 → False) → False) → ((v1_xboole_0 esk11_0 → False) → False) → ((v1_xboole_0 k1_xboole_0 → False) → False) → ((v1_card_1 esk12_0 → False) → False) → ((v1_card_1 esk9_0 → False) → False) → ((v1_card_1 esk8_0 → False) → False) → ((v1_finset_1 esk12_0 → False) → False) → ((v4_ordinal1 esk1_0 → False) → False) → ((v3_ordinal1 esk13_0 → False) → False) → ((v3_ordinal1 esk12_0 → False) → False) → ((v3_ordinal1 esk10_0 → False) → False) → ((v3_ordinal1 esk9_0 → False) → False) → ((v3_ordinal1 esk2_0 → False) → False) → ((v3_ordinal1 esk1_0 → False) → False) → False