Theorem. (t18_card_lar)
∀k2_xboole_0 : setsetset, ∀k1_tarski : setset, ∀k9_subset_1 : setsetsetset, ∀k2_card_lar : setsetset, ∀r1_tarski : setsetprop, ∀v2_card_lar : setsetprop, ∀v1_xboole_0 : setprop, ∀m2_subset_1 : setsetsetprop, ∀esk24_2 : setsetset, ∀k3_xboole_0 : setsetset, ∀r1_ordinal1 : setsetprop, ∀v4_card_3 : setprop, ∀esk22_1 : setset, ∀v1_card_1 : setprop, ∀v3_card_1 : setsetprop, ∀esk19_1 : setset, ∀v1_zfmisc_1 : setprop, ∀v1_card_5 : setprop, ∀esk13_0 : set, ∀esk15_0 : set, ∀esk8_0 : set, ∀esk4_1 : setset, ∀esk12_0 : set, ∀esk7_0 : set, ∀esk11_0 : set, ∀esk10_0 : set, ∀esk18_0 : set, ∀esk20_0 : set, ∀v2_xxreal_0 : setprop, ∀k5_numbers : set, ∀k1_numbers : set, ∀esk16_0 : set, ∀esk14_0 : set, ∀esk21_0 : set, ∀esk9_0 : set, ∀esk2_0 : set, ∀esk1_0 : set, ∀v5_ordinal1 : setprop, ∀v5_card_3 : setprop, ∀v2_ordinal1 : setprop, ∀v1_ordinal1 : setprop, ∀v2_card_1 : setprop, ∀k1_xboole_0 : set, ∀k4_ordinal1 : set, ∀np__1 : set, ∀esk17_1 : setset, ∀v6_ordinal1 : setprop, ∀v7_ordinal1 : setprop, ∀esk5_2 : setsetset, ∀esk23_1 : setset, ∀esk3_2 : setsetset, ∀esk25_3 : setsetsetset, ∀v1_finset_1 : setprop, ∀v4_ordinal1 : setprop, ∀k1_zfmisc_1 : setset, ∀m1_subset_1 : setsetprop, ∀a_2_0_card_lar : setsetset, ∀r2_hidden : setsetprop, ∀v3_ordinal1 : setprop, ∀k3_ordinal2 : setset, ∀k8_subset_1 : setsetsetset, ∀esk6_3 : setsetsetset, (∀X2 X3 X1, ((k3_ordinal2 (k8_subset_1 X1 X2 (esk6_3 X3 X1 X2))) = (esk6_3 X3 X1 X2)False)(v1_finset_1 X1False)v3_ordinal1 X1v4_ordinal1 X1m1_subset_1 X2 (k1_zfmisc_1 X1)r2_hidden X3 (a_2_0_card_lar X1 X2)False)(∀X3 X4 X2 X1, (v1_finset_1 X1False)(r1_tarski (k9_subset_1 X1 X2 (k2_card_lar X1 X4)) (k2_xboole_0 X3 (k1_tarski X3))False)v3_ordinal1 X3v3_ordinal1 X2v3_ordinal1 X1v4_ordinal1 X1m1_subset_1 X4 (k1_zfmisc_1 X1)r1_tarski (k8_subset_1 X1 X4 X2) X3False)(∀X1 X2 X3, ((k3_ordinal2 (k8_subset_1 X1 X2 X3)) = X3False)(v1_finset_1 X3False)(v1_finset_1 X1False)(r1_tarski (k8_subset_1 X1 X2 X3) (esk25_3 X1 X3 X2)False)v3_ordinal1 X3v3_ordinal1 X1v4_ordinal1 X3v4_ordinal1 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1 X3, (v1_finset_1 X3False)(v1_finset_1 X2False)(r2_hidden X3 X1False)(k3_ordinal2 (k8_subset_1 X2 X1 X3)) = X3v3_ordinal1 X3v3_ordinal1 X2v4_ordinal1 X3v4_ordinal1 X2v2_card_lar X1 X2r2_hidden X3 X2m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X1 X4 X3 X2, (v1_finset_1 X2False)(v1_finset_1 X1False)(r2_hidden X3 (a_2_0_card_lar X2 X4)False)X1 = X3(k3_ordinal2 (k8_subset_1 X2 X4 X1)) = X1v3_ordinal1 X2v4_ordinal1 X2v4_ordinal1 X1m1_subset_1 X1 X2m1_subset_1 X4 (k1_zfmisc_1 X2)False)(∀X1 X3 X2, ((k3_ordinal2 (k8_subset_1 X1 X3 X2)) = X2False)(v1_finset_1 X2False)(v1_finset_1 X1False)(r2_hidden (esk25_3 X1 X2 X3) X2False)v3_ordinal1 X2v3_ordinal1 X1v4_ordinal1 X2v4_ordinal1 X1m1_subset_1 X3 (k1_zfmisc_1 X1)False)(∀X1 X3 X2, ((k3_ordinal2 (k8_subset_1 X1 X3 X2)) = X2False)(v1_finset_1 X2False)(v1_finset_1 X1False)(v3_ordinal1 (esk25_3 X1 X2 X3)False)v3_ordinal1 X2v3_ordinal1 X1v4_ordinal1 X2v4_ordinal1 X1m1_subset_1 X3 (k1_zfmisc_1 X1)False)(∀X3 X1 X2, (v1_finset_1 X2False)v3_ordinal1 X2v4_ordinal1 X2m1_subset_1 X3 (k1_zfmisc_1 X2)v1_finset_1 (esk6_3 X1 X2 X3)r2_hidden X1 (a_2_0_card_lar X2 X3)False)(∀X2 X1, ((k3_ordinal2 (k8_subset_1 X1 X2 (esk3_2 X1 X2))) = (esk3_2 X1 X2)False)(v1_finset_1 X1False)(v2_card_lar X2 X1False)v3_ordinal1 X1v4_ordinal1 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X3 X1 X2, (v1_finset_1 X2False)(m1_subset_1 (esk6_3 X1 X2 X3) X2False)v3_ordinal1 X2v4_ordinal1 X2m1_subset_1 X3 (k1_zfmisc_1 X2)r2_hidden X1 (a_2_0_card_lar X2 X3)False)(∀X3 X1 X2, (v1_finset_1 X2False)(v4_ordinal1 (esk6_3 X1 X2 X3)False)v3_ordinal1 X2v4_ordinal1 X2m1_subset_1 X3 (k1_zfmisc_1 X2)r2_hidden X1 (a_2_0_card_lar X2 X3)False)(∀X3 X1 X2, ((esk6_3 X1 X2 X3) = X1False)(v1_finset_1 X2False)v3_ordinal1 X2v4_ordinal1 X2m1_subset_1 X3 (k1_zfmisc_1 X2)r2_hidden X1 (a_2_0_card_lar X2 X3)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 (k8_subset_1 X2 X1 X3) (k1_zfmisc_1 X2)False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X1, (v4_ordinal1 X1False)v3_ordinal1 X1r2_hidden (k2_xboole_0 (esk23_1 X1) (k1_tarski (esk23_1 X1))) X1False)(∀X1 X3 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(m1_subset_1 X3 X1False)m2_subset_1 X3 X1 X2m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1 X3, (v1_xboole_0 X3False)(v1_xboole_0 X2False)(m1_subset_1 X1 X3False)m2_subset_1 X1 X2 X3m1_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)(∀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 X1False)(v2_card_lar X2 X1False)v3_ordinal1 X1v4_ordinal1 X1m1_subset_1 X2 (k1_zfmisc_1 X1)r2_hidden (esk3_2 X1 X2) X2False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(m2_subset_1 (esk5_2 X1 X2) X1 X2False)m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1 X3, (v1_xboole_0 X3False)(v1_xboole_0 X2False)(m2_subset_1 X1 X3 X2False)m1_subset_1 X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X2 X1, (v1_finset_1 X1False)(v2_card_lar X2 X1False)v3_ordinal1 X1v4_ordinal1 X1v1_finset_1 (esk3_2 X1 X2)m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X3 X2, r2_hidden X3 X2r2_hidden X1 X2r2_hidden X1 (esk24_2 X3 X2)False)(∀X2 X1, (v1_finset_1 X1False)(v2_card_lar X2 X1False)(r2_hidden (esk3_2 X1 X2) X1False)v3_ordinal1 X1v4_ordinal1 X1m1_subset_1 X2 (k1_zfmisc_1 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, ((k8_subset_1 X2 X1 X3) = (k3_xboole_0 X1 X3)False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X2 X1, (v1_finset_1 X1False)(m1_subset_1 (k2_card_lar X1 X2) (k1_zfmisc_1 X1)False)v3_ordinal1 X1v4_ordinal1 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (r2_hidden (k2_xboole_0 X2 (k1_tarski X2)) X1False)v3_ordinal1 X2v3_ordinal1 X1v4_ordinal1 X1r2_hidden X2 X1False)(∀X2 X1, (v1_finset_1 X1False)(v2_card_lar X2 X1False)(v4_ordinal1 (esk3_2 X1 X2)False)v3_ordinal1 X1v4_ordinal1 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1, (v1_finset_1 X1False)(v2_card_lar X2 X1False)(v3_ordinal1 (esk3_2 X1 X2)False)v3_ordinal1 X1v4_ordinal1 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X3 X2 X1, ((k9_subset_1 X2 X3 X3) = X3False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X2 X1, ((k8_subset_1 X2 X1 X1) = X1False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X2 X1, ((k2_card_lar X1 X2) = (a_2_0_card_lar X1 X2)False)(v1_finset_1 X1False)v3_ordinal1 X1v4_ordinal1 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1, v3_ordinal1 X1v1_xboole_0 (k2_xboole_0 X1 (k1_tarski X1))False)(∀X2 X1 X3, (m1_subset_1 X1 X3False)r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X2 X1, (r2_hidden (esk24_2 X1 X2) X2False)r2_hidden X1 X2False)(∀X2 X1 X3, v1_xboole_0 X3r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X1, (v7_ordinal1 (k2_xboole_0 X1 (k1_tarski X1))False)v3_ordinal1 X1v7_ordinal1 X1False)(∀X2 X1, (v1_xboole_0 X1False)v1_xboole_0 (k2_xboole_0 X1 X2)False)(∀X2 X1, (v1_xboole_0 X1False)v1_xboole_0 (k2_xboole_0 X2 X1)False)(∀X1 X2, (r1_tarski X1 X2False)v3_ordinal1 X2v3_ordinal1 X1r1_ordinal1 X1 X2False)(∀X1 X2, (r1_ordinal1 X1 X2False)v3_ordinal1 X2v3_ordinal1 X1r1_tarski X1 X2False)(∀X1, (v3_ordinal1 (k2_xboole_0 X1 (k1_tarski X1))False)v3_ordinal1 X1False)(∀X2 X1, (r1_ordinal1 (k3_ordinal2 X1) (k3_ordinal2 X2)False)r1_tarski X1 X2False)(∀X2 X1, (r1_tarski X1 X2False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X2 X1, r2_hidden X2 X1r2_hidden X1 X2False)(∀X2 X1, (v3_ordinal1 (k3_xboole_0 X1 X2)False)v3_ordinal1 X2v3_ordinal1 X1False)(∀X2 X1, (v3_ordinal1 (k2_xboole_0 X1 X2)False)v3_ordinal1 X2v3_ordinal1 X1False)(∀X1 X2, (v4_card_3 X2False)v4_card_3 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v6_ordinal1 X2False)v6_ordinal1 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1, (r1_ordinal1 X2 X1False)(r1_ordinal1 X1 X2False)v3_ordinal1 X2v3_ordinal1 X1False)(∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2)False)r1_tarski X1 X2False)(∀X1 X2, (v1_xboole_0 X2False)(r2_hidden X1 X2False)m1_subset_1 X1 X2False)(∀X2 X1, (m1_subset_1 X1 X2False)r2_hidden X1 X2False)(∀X1 X2, (v3_ordinal1 X2False)v3_ordinal1 X1m1_subset_1 X2 X1False)(∀X1, (v4_ordinal1 X1False)(r2_hidden (esk23_1 X1) X1False)v3_ordinal1 X1False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk22_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_finset_1 X1False)(m1_subset_1 (esk17_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1 X2, v1_xboole_0 X2r2_hidden X1 X2False)(∀X2 X1, (r1_ordinal1 X1 X1False)v3_ordinal1 X2v3_ordinal1 X1False)(∀X1, (v3_card_1 (esk19_1 X1) X1False)v1_card_1 X1False)(∀X1, v1_xboole_0 X1v3_card_1 X1 np__1False)(∀X1, (v1_xboole_0 X1False)v3_ordinal1 X1v4_ordinal1 X1v1_finset_1 X1False)(∀X1, (v7_ordinal1 X1False)m1_subset_1 X1 k4_ordinal1False)(∀X1, (v1_zfmisc_1 X1False)v3_card_1 X1 np__1False)(∀X1, (v1_xboole_0 X1False)v3_card_1 X1 k1_xboole_0False)(∀X1, (v1_finset_1 X1False)m1_subset_1 X1 k4_ordinal1False)(∀X1, (v1_xboole_0 X1False)(v3_card_1 X1 np__1False)v1_zfmisc_1 X1False)(∀X1, (v1_xboole_0 X1False)(v3_card_1 (esk22_1 X1) np__1False)False)(∀X1, (v1_finset_1 X1False)(v2_card_1 X1False)v1_card_1 X1v4_card_3 X1False)(∀X1, (v4_ordinal1 X1False)(v1_finset_1 X1False)v3_ordinal1 X1v1_card_1 X1False)(∀X1, (v4_ordinal1 X1False)(v3_ordinal1 (esk23_1 X1)False)v3_ordinal1 X1False)(∀X1, (v1_finset_1 X1False)v1_finset_1 (esk17_1 X1)False)(∀X1, (v1_finset_1 X1False)v1_finset_1 (k1_zfmisc_1 X1)False)(∀X1, (v1_finset_1 X1False)(v2_card_1 X1False)(v1_card_5 X1False)v1_card_1 X1False)(∀X1, (v3_card_1 X1 k1_xboole_0False)v1_xboole_0 X1False)(∀X1, (v7_ordinal1 X1False)v3_ordinal1 X1v1_finset_1 X1False)(∀X1, (v3_ordinal1 X1False)v1_ordinal1 X1v2_ordinal1 X1False)(∀X2 X1, (X1 = X2False)v1_xboole_0 X2v1_xboole_0 X1False)(∀X1, (v1_finset_1 X1False)(v5_card_3 X1False)v4_card_3 X1False)(∀X1, (v4_ordinal1 X1False)(v1_finset_1 X1False)v1_card_1 X1False)(∀X1, v1_finset_1 X1v5_card_3 X1False)(∀X1, ((k3_ordinal2 X1) = X1False)v3_ordinal1 X1False)(∀X1, (v5_ordinal1 X1False)v1_xboole_0 X1False)(∀X1, (v4_card_3 X1False)v5_card_3 X1False)(∀X1, (v4_card_3 X1False)v1_finset_1 X1False)(∀X1, (v7_ordinal1 X1False)v1_xboole_0 X1False)(∀X1, (v2_ordinal1 X1False)v3_ordinal1 X1False)(∀X1, (v1_ordinal1 X1False)v3_ordinal1 X1False)(∀X1, (v1_card_1 X1False)v7_ordinal1 X1False)(∀X1, (v1_card_1 X1False)v1_xboole_0 X1False)(∀X1, (v6_ordinal1 X1False)v1_xboole_0 X1False)(∀X1, (v1_finset_1 X1False)v7_ordinal1 X1False)(∀X1, (v1_finset_1 X1False)v1_xboole_0 X1False)(∀X1, (v3_ordinal1 X1False)v7_ordinal1 X1False)(∀X1, (v3_ordinal1 X1False)v1_card_1 X1False)(∀X1, (v3_ordinal1 X1False)v1_xboole_0 X1False)(∀X1, (X1 = k1_xboole_0False)v1_xboole_0 X1False)(∀X1, v1_xboole_0 (k2_xboole_0 X1 (k1_tarski X1))False)(v2_card_lar (k2_card_lar esk1_0 esk2_0) esk1_0False)(∀X1, v1_xboole_0 (k1_tarski X1)False)(v4_card_3 esk9_0False)(v2_card_1 esk13_0False)(v1_xboole_0 esk21_0False)(v1_xboole_0 esk15_0False)(v1_xboole_0 esk14_0False)(v1_xboole_0 esk9_0False)(v1_xboole_0 k4_ordinal1False)(v1_xboole_0 np__1False)(v1_finset_1 esk16_0False)(v1_finset_1 esk13_0False)(v1_finset_1 esk9_0False)(v1_finset_1 esk8_0False)(v1_finset_1 esk1_0False)(v1_finset_1 k4_ordinal1False)((m2_subset_1 np__1 k1_numbers k5_numbersFalse)False)(∀X2 X1, ((k3_xboole_0 X1 X2) = (k3_xboole_0 X2 X1)False)False)(∀X2 X1, ((k2_xboole_0 X1 X2) = (k2_xboole_0 X2 X1)False)False)(∀X1, (m1_subset_1 (esk4_1 X1) X1False)False)(∀X1, (v3_card_1 (k1_tarski X1) np__1False)False)((m1_subset_1 esk2_0 (k1_zfmisc_1 esk1_0)False)False)((m1_subset_1 k5_numbers (k1_zfmisc_1 k1_numbers)False)False)(∀X1, ((k3_xboole_0 X1 X1) = X1False)False)(∀X1, ((k2_xboole_0 X1 X1) = X1False)False)(∀X1, (r1_tarski X1 X1False)False)(∀X1, ((k2_xboole_0 X1 k1_xboole_0) = X1False)False)(∀X1, ((k3_xboole_0 X1 k1_xboole_0) = k1_xboole_0False)False)((m1_subset_1 k1_xboole_0 k4_ordinal1False)False)((m1_subset_1 np__1 k1_numbersFalse)False)((m1_subset_1 np__1 k5_numbersFalse)False)(∀X1, (v3_ordinal1 (k3_ordinal2 X1)False)False)((v2_xxreal_0 np__1False)False)((v1_card_5 esk9_0False)False)((v5_card_3 esk20_0False)False)((v5_card_3 k4_ordinal1False)False)((v2_card_1 k4_ordinal1False)False)((v7_ordinal1 esk21_0False)False)((v7_ordinal1 esk18_0False)False)((v2_ordinal1 esk14_0False)False)((v2_ordinal1 esk13_0False)False)((v2_ordinal1 esk12_0False)False)((v2_ordinal1 esk9_0False)False)((v2_ordinal1 esk8_0False)False)((v1_ordinal1 esk14_0False)False)((v1_ordinal1 esk13_0False)False)((v1_ordinal1 esk12_0False)False)((v1_ordinal1 esk9_0False)False)((v1_ordinal1 esk8_0False)False)((v1_card_1 esk13_0False)False)((v1_card_1 esk12_0False)False)((v1_card_1 esk9_0False)False)((v1_card_1 esk8_0False)False)((v1_card_1 esk7_0False)False)((v1_card_1 k4_ordinal1False)False)((v1_xboole_0 esk11_0False)False)((v1_xboole_0 k1_xboole_0False)False)((v1_finset_1 esk12_0False)False)((v4_ordinal1 esk9_0False)False)((v4_ordinal1 esk1_0False)False)((v3_ordinal1 esk14_0False)False)((v3_ordinal1 esk13_0False)False)((v3_ordinal1 esk12_0False)False)((v3_ordinal1 esk10_0False)False)((v3_ordinal1 esk9_0False)False)((v3_ordinal1 esk8_0False)False)((v3_ordinal1 esk1_0False)False)((v3_ordinal1 k4_ordinal1False)False)((k5_numbers = k4_ordinal1False)False)False
Proof:
The rest of the proof is missing.