Theorem. (
t33_card_lar)
∀r2_hidden : set → set → prop, ∀k1_card_5 : set → set, ∀esk3_2 : set → set → set, ∀r2_ordinal2 : set → set → prop, ∀v1_ordinal1 : set → prop, ∀v3_ordinal1 : set → prop, ∀esk4_2 : set → set → set, ∀esk22_1 : set → set, ∀k1_zfmisc_1 : set → set, ∀r2_xboole_0 : set → set → prop, ∀v6_ordinal1 : set → prop, ∀esk1_0 : set, ∀esk2_0 : set, ∀esk12_1 : set → set, ∀esk16_1 : set → set, ∀v2_ordinal1 : set → prop, ∀v4_ordinal1 : set → prop, ∀v5_card_3 : set → prop, ∀esk20_0 : set, ∀esk13_0 : set, ∀esk8_0 : set, ∀esk10_0 : set, ∀esk9_0 : set, ∀esk7_0 : set, ∀esk11_0 : set, ∀esk17_0 : set, ∀esk19_0 : set, ∀esk5_1 : set → set, ∀esk15_0 : set, ∀esk14_0 : set, ∀v5_ordinal1 : set → prop, ∀v7_ordinal1 : set → prop, ∀k1_xboole_0 : set, ∀esk18_1 : set → set, ∀v3_card_1 : set → set → prop, ∀v4_card_3 : set → prop, ∀v1_finset_1 : set → prop, ∀esk6_2 : set → set → set, ∀a_1_3_card_lar : set → set, ∀m1_subset_1 : set → set → prop, ∀v1_xboole_0 : set → prop, ∀r1_tarski : set → set → prop, ∀k3_ordinal2 : set → set, ∀esk21_2 : set → set → set, ∀k3_tarski : set → set, ∀k2_card_2 : set → set → set, ∀esk23_3 : set → set → set → set, ∀r1_ordinal1 : set → set → prop, ∀k1_card_1 : set → set, ∀v1_card_1 : set → prop, (∀X1 X3 X2, (r1_ordinal1 (k1_card_1 (k3_tarski X3)) (k2_card_2 X1 X2) → False) → v1_card_1 X2 → v1_card_1 X1 → r1_ordinal1 (k1_card_1 X3) X1 → r1_ordinal1 (k1_card_1 (esk23_3 X1 X2 X3)) X2 → False) → (∀X1 X3 X2, (r2_hidden (esk23_3 X1 X2 X3) X3 → False) → (r1_ordinal1 (k1_card_1 (k3_tarski X3)) (k2_card_2 X1 X2) → False) → v1_card_1 X2 → v1_card_1 X1 → r1_ordinal1 (k1_card_1 X3) X1 → False) → (∀X3 X1 X2 X4, (r1_ordinal1 (k2_card_2 X1 X2) (k2_card_2 X3 X4) → False) → v1_card_1 X4 → v1_card_1 X3 → v1_card_1 X2 → v1_card_1 X1 → r1_ordinal1 X2 X3 → r1_ordinal1 X1 X4 → False) → (∀X3 X1 X2 X4, (r1_ordinal1 (k2_card_2 X1 X2) (k2_card_2 X3 X4) → False) → v1_card_1 X4 → v1_card_1 X3 → v1_card_1 X2 → v1_card_1 X1 → r1_ordinal1 X2 X4 → r1_ordinal1 X1 X3 → False) → (∀X3 X1 X2 X4, (r1_ordinal1 (k2_card_2 X1 X2) (k2_card_2 X3 X4) → False) → v1_card_1 X4 → v1_card_1 X3 → v1_card_1 X2 → v1_card_1 X1 → r2_hidden X1 X3 → r1_ordinal1 X2 X4 → False) → (∀X3 X1 X2 X4, (r1_ordinal1 (k2_card_2 X1 X2) (k2_card_2 X3 X4) → False) → v1_card_1 X4 → v1_card_1 X3 → v1_card_1 X2 → v1_card_1 X1 → r2_hidden X1 X4 → r1_ordinal1 X2 X3 → False) → (∀X3 X1 X2 X4, (r1_ordinal1 (k2_card_2 X1 X2) (k2_card_2 X3 X4) → False) → v1_card_1 X4 → v1_card_1 X3 → v1_card_1 X2 → v1_card_1 X1 → r2_hidden X2 X3 → r1_ordinal1 X1 X4 → False) → (∀X3 X1 X2 X4, (r1_ordinal1 (k2_card_2 X1 X2) (k2_card_2 X3 X4) → False) → v1_card_1 X4 → v1_card_1 X3 → v1_card_1 X2 → v1_card_1 X1 → r2_hidden X2 X3 → r2_hidden X1 X4 → False) → (∀X3 X1 X2 X4, (r1_ordinal1 (k2_card_2 X1 X2) (k2_card_2 X3 X4) → False) → v1_card_1 X4 → v1_card_1 X3 → v1_card_1 X2 → v1_card_1 X1 → r2_hidden X2 X4 → r1_ordinal1 X1 X3 → False) → (∀X3 X1 X2 X4, (r1_ordinal1 (k2_card_2 X1 X2) (k2_card_2 X3 X4) → False) → v1_card_1 X4 → v1_card_1 X3 → v1_card_1 X2 → v1_card_1 X1 → r2_hidden X2 X4 → r2_hidden X1 X3 → False) → (∀X3 X1 X2 X4, (r2_hidden (k2_card_2 X1 X2) (k2_card_2 X3 X4) → False) → v1_card_1 X4 → v1_card_1 X3 → v1_card_1 X2 → v1_card_1 X1 → r2_hidden X2 X3 → r2_hidden X1 X4 → False) → (∀X3 X1 X2 X4, (r2_hidden (k2_card_2 X1 X2) (k2_card_2 X3 X4) → False) → v1_card_1 X4 → v1_card_1 X3 → v1_card_1 X2 → v1_card_1 X1 → r2_hidden X2 X4 → r2_hidden X1 X3 → False) → (∀X1 X3 X2, r2_hidden X3 X2 → r2_hidden X1 X2 → r2_hidden X1 (esk21_2 X3 X2) → False) → (∀X1 X2, (X1 = (k1_card_5 X2) → False) → v1_card_1 X2 → v1_card_1 X1 → r2_ordinal2 X2 X1 → r1_ordinal1 X1 (esk3_2 X2 X1) → False) → (∀X1 X2, (r2_hidden (k3_ordinal2 X1) X2 → False) → v1_card_1 X2 → r1_tarski X1 X2 → r2_hidden (k1_card_1 X1) (k1_card_5 X2) → False) → (∀X1 X2, (r2_hidden (k3_tarski X1) X2 → False) → v1_card_1 X2 → r1_tarski X1 X2 → r2_hidden (k1_card_1 X1) (k1_card_5 X2) → False) → (∀X1 X2, (X2 = (k1_card_5 X1) → False) → (r2_ordinal2 X1 (esk3_2 X1 X2) → False) → v1_card_1 X2 → v1_card_1 X1 → r2_ordinal2 X1 X2 → False) → (∀X2 X1 X3, (r2_hidden X1 X3 → False) → v3_ordinal1 X3 → v3_ordinal1 X2 → v1_ordinal1 X1 → r2_hidden X2 X3 → r1_tarski X1 X2 → False) → (∀X3 X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden X3 (a_1_3_card_lar X2) → False) → X3 = (k1_card_1 X1) → r2_hidden X1 X2 → m1_subset_1 X1 X2 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → r2_hidden (esk4_2 X1 X2) X2 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (m1_subset_1 (esk6_2 X1 X2) X2 → False) → r2_hidden X1 (a_1_3_card_lar X2) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden (esk6_2 X1 X2) X2 → False) → r2_hidden X1 (a_1_3_card_lar X2) → False) → (∀X1 X2, (X2 = (k1_card_5 X1) → False) → (v1_card_1 (esk3_2 X1 X2) → False) → v1_card_1 X2 → v1_card_1 X1 → r2_ordinal2 X1 X2 → False) → (∀X1 X2, (v1_card_1 (k3_tarski X2) → False) → v1_card_1 X1 → r2_hidden X1 X2 → r1_tarski (esk22_1 X2) X1 → False) → (∀X1 X2, (v1_finset_1 X2 → False) → (v1_finset_1 X1 → False) → v1_card_1 X2 → v1_card_1 X1 → v1_finset_1 (k2_card_2 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) → (∀X1 X2, ((k1_card_1 (esk6_2 X1 X2)) = X1 → False) → (v1_xboole_0 X2 → False) → r2_hidden X1 (a_1_3_card_lar X2) → False) → (∀X2 X3 X1, (r1_ordinal1 X3 X1 → False) → X3 = (k1_card_5 X2) → v1_card_1 X3 → v1_card_1 X2 → v1_card_1 X1 → r2_ordinal2 X2 X1 → False) → (∀X2 X1, (r2_hidden (esk21_2 X1 X2) X2 → False) → 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) → (∀X1 X3 X2, (r2_hidden X3 X2 → False) → r2_hidden X3 X1 → r1_tarski X1 X2 → False) → (∀X1 X2, (r1_tarski X1 X2 → False) → (r2_hidden (esk4_2 X1 X2) X1 → False) → False) → (∀X1 X2, (v1_finset_1 X2 → False) → (v1_finset_1 X1 → False) → (v1_card_1 (k2_card_2 X1 X2) → False) → v1_card_1 X2 → v1_card_1 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, (r2_hidden X1 X2 → False) → v3_ordinal1 X2 → v1_ordinal1 X1 → r2_xboole_0 X1 X2 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X1, r2_xboole_0 X2 X1 → r2_xboole_0 X1 X2 → False) → (∀X2 X1, r2_hidden X2 X1 → r2_hidden X1 X2 → False) → (∀X2 X1, (v1_card_1 (k2_card_2 X1 X2) → False) → v1_card_1 X2 → v1_card_1 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) → (∀X1, (v1_xboole_0 X1 → False) → (r1_ordinal1 (k1_card_1 (a_1_3_card_lar X1)) (k1_card_1 X1) → False) → False) → (∀X2 X1, (r1_ordinal1 X2 X1 → False) → (r1_ordinal1 X1 X2 → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X2 X1, (r1_tarski X1 (k3_tarski X2) → False) → r2_hidden X1 X2 → False) → (∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → r1_tarski X1 X2 → False) → (∀X2 X1, ((k2_card_2 X1 X2) = (k2_card_2 X2 X1) → False) → v1_card_1 X2 → v1_card_1 X1 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden X1 X2 → False) → m1_subset_1 X1 X2 → False) → (∀X2 X1, (X1 = X2 → False) → (r2_xboole_0 X1 X2 → False) → r1_tarski X1 X2 → False) → (∀X1, (r2_hidden (k1_card_1 X1) esk2_0 → False) → r2_hidden X1 esk1_0 → False) → (∀X2 X1, (r2_ordinal2 X1 X2 → False) → X2 = (k1_card_5 X1) → v1_card_1 X2 → v1_card_1 X1 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → r2_xboole_0 X1 X2 → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X1, (v1_finset_1 X1 → False) → (v4_card_3 X1 → False) → (m1_subset_1 (esk12_1 X1) X1 → False) → v1_card_1 X1 → False) → (∀X1 X2, (v3_ordinal1 X2 → False) → v3_ordinal1 X1 → m1_subset_1 X2 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → (v4_card_3 X1 → False) → v1_card_1 X1 → v1_finset_1 (esk12_1 X1) → False) → (∀X1, (v1_card_1 (k3_tarski X1) → False) → (r2_hidden (esk22_1 X1) X1 → False) → 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, (r2_ordinal2 X1 X1 → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X2 X1, (r1_ordinal1 X1 X1 → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → v1_card_1 X1 → v1_finset_1 (k1_card_5 X1) → False) → (∀X1, (v3_card_1 (esk18_1 X1) X1 → False) → v1_card_1 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → (v4_card_3 X1 → False) → (v2_ordinal1 (esk12_1 X1) → False) → v1_card_1 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → (v4_card_3 X1 → False) → (v1_ordinal1 (esk12_1 X1) → False) → v1_card_1 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → (v4_card_3 X1 → False) → (v3_ordinal1 (esk12_1 X1) → False) → v1_card_1 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → (v4_card_3 X1 → False) → (v1_card_1 (esk12_1 X1) → False) → v1_card_1 X1 → False) → (∀X1, ((k2_card_2 X1 X1) = X1 → False) → (v1_finset_1 X1 → False) → v1_card_1 X1 → False) → (∀X2 X1, X1 = X2 → r2_xboole_0 X1 X2 → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_finset_1 X1 → v3_ordinal1 X1 → v4_ordinal1 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → v3_card_1 X1 k1_xboole_0 → False) → (∀X1, (v1_finset_1 X1 → False) → (v4_ordinal1 X1 → False) → v1_card_1 X1 → v3_ordinal1 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → (v1_card_1 (k1_card_5 X1) → False) → v1_card_1 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (k1_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, (v1_finset_1 X1 → False) → v1_finset_1 (k1_card_1 X1) → False) → (∀X1, (v3_card_1 X1 k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (∀X1, (v7_ordinal1 X1 → False) → v1_finset_1 X1 → v3_ordinal1 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v1_ordinal1 X1 → v2_ordinal1 X1 → False) → (∀X1, (v1_xboole_0 (k1_card_1 X1) → False) → v1_xboole_0 X1 → False) → (∀X1, (v3_ordinal1 (k3_tarski X1) → False) → v3_ordinal1 X1 → False) → (∀X1, (v1_card_1 (k1_card_5 X1) → False) → v1_card_1 X1 → False) → (∀X1, (v1_card_1 (k1_card_1 X1) → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_card_1 (k1_card_1 X1) → False) → v1_finset_1 X1 → False) → (∀X1, (v1_finset_1 (k1_card_1 X1) → False) → v1_finset_1 X1 → 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, (v1_finset_1 X1 → False) → (v4_ordinal1 X1 → False) → v1_card_1 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_card_1 (k1_card_1 X1) → False) → False) → (∀X1, (v1_finset_1 X1 → False) → (v1_card_1 (k1_card_1 X1) → False) → False) → (∀X1, v1_finset_1 X1 → v5_card_3 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, (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, (v6_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_card_1 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v1_card_1 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, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (r2_hidden (k1_card_1 (k3_tarski esk1_0)) esk2_0 → False) → (∀X1, r2_xboole_0 X1 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 esk8_0 → False) → (v1_finset_1 esk2_0 → False) → ((r2_hidden (k1_card_1 esk1_0) (k1_card_5 esk2_0) → False) → False) → (∀X1, (m1_subset_1 (esk5_1 X1) X1 → False) → False) → (∀X1, ((k1_card_1 (k1_card_1 X1)) = (k1_card_1 X1) → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → (∀X1, (r1_tarski k1_xboole_0 X1 → False) → False) → (∀X1, (v3_ordinal1 (k3_ordinal2 X1) → False) → False) → (∀X1, (v1_card_1 (k1_card_1 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 esk11_0 → False) → False) → ((v2_ordinal1 esk8_0 → False) → False) → ((v1_ordinal1 esk13_0 → False) → False) → ((v1_ordinal1 esk11_0 → False) → False) → ((v1_ordinal1 esk8_0 → False) → False) → ((v1_xboole_0 esk10_0 → False) → False) → ((v1_xboole_0 k1_xboole_0 → False) → False) → ((v3_ordinal1 esk13_0 → False) → False) → ((v3_ordinal1 esk11_0 → False) → False) → ((v3_ordinal1 esk9_0 → False) → False) → ((v3_ordinal1 esk8_0 → False) → False) → ((v1_card_1 esk11_0 → False) → False) → ((v1_card_1 esk8_0 → False) → False) → ((v1_card_1 esk7_0 → False) → False) → ((v1_card_1 esk2_0 → False) → False) → ((v1_finset_1 esk11_0 → False) → False) → (((k3_tarski k1_xboole_0) = k1_xboole_0 → False) → False) → (((k1_card_1 k1_xboole_0) = k1_xboole_0 → False) → False) → False