Theorem. (t4_arytm_3)
∀esk21_0 : set, ∀r1_tarski : setsetprop, ∀k4_ordinal1 : set, ∀epred1_0 : prop, ∀k9_ordinal3 : setsetset, ∀esk23_2 : setsetset, ∀esk24_2 : setsetset, ∀r1_arytm_3 : setsetprop, ∀esk20_2 : setsetset, ∀esk7_2 : setsetset, ∀v7_ordinal1 : setprop, ∀esk22_0 : set, ∀np__1 : set, ∀esk3_2 : setsetset, ∀esk4_2 : setsetset, ∀v1_ordinal1 : setprop, ∀v1_subset_1 : setsetprop, ∀v6_ordinal1 : setprop, ∀esk9_1 : setset, ∀esk13_0 : set, ∀k1_numbers : set, ∀k5_numbers : set, ∀esk12_1 : setset, ∀esk10_0 : set, ∀esk8_0 : set, ∀esk15_0 : set, ∀v2_xxreal_0 : setprop, ∀esk6_1 : setset, ∀esk11_0 : set, ∀esk17_0 : set, ∀esk14_1 : setset, ∀v5_ordinal1 : setprop, ∀v2_ordinal1 : setprop, ∀esk16_1 : setset, ∀esk5_2 : setsetset, ∀esk2_0 : set, ∀esk1_0 : set, ∀esk19_2 : setsetset, ∀esk18_2 : setsetset, ∀esk25_2 : setsetset, ∀k11_ordinal2 : setsetset, ∀r2_hidden : setsetprop, ∀r1_ordinal1 : setsetprop, ∀v3_ordinal1 : setprop, ∀k1_xboole_0 : set, ∀m2_subset_1 : setsetsetprop, ∀k1_zfmisc_1 : setset, ∀m1_subset_1 : setsetprop, ∀v1_xboole_0 : setprop, (∀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)(∀X4 X1 X3 X2, (X2 = k1_xboole_0False)(r2_hidden (k11_ordinal2 X3 X1) (k11_ordinal2 X4 X2)False)v3_ordinal1 X4v3_ordinal1 X3v3_ordinal1 X2v3_ordinal1 X1r2_hidden X3 X4r1_ordinal1 X1 X2False)(∀X3 X1 X2, (X2 = k1_xboole_0False)(r1_ordinal1 X1 X3False)v3_ordinal1 X3v3_ordinal1 X2v3_ordinal1 X1r1_ordinal1 (k11_ordinal2 X1 X2) (k11_ordinal2 X3 X2)False)(∀X3 X1 X2 X4, (r2_hidden (k11_ordinal2 X3 X1) (k11_ordinal2 X4 X2)False)v3_ordinal1 X4v3_ordinal1 X3v3_ordinal1 X2v3_ordinal1 X1r2_hidden X3 X4r2_hidden X1 X2False)(∀X2 X1, (X1 = k1_xboole_0False)((k9_ordinal3 (esk23_2 X1 X2) (esk24_2 X1 X2)) = X1False)(r1_ordinal1 esk21_0 X1False)epred1_0v3_ordinal1 X2v3_ordinal1 X1r1_tarski X2 X1r2_hidden X1 k4_ordinal1False)(∀X1 X2, (X2 = k1_xboole_0False)((k9_ordinal3 (esk23_2 X2 X1) (esk25_2 X2 X1)) = X1False)(r1_ordinal1 esk21_0 X2False)epred1_0v3_ordinal1 X2v3_ordinal1 X1r1_tarski X1 X2r2_hidden X2 k4_ordinal1False)(∀X2 X1, (X1 = k1_xboole_0False)(r1_ordinal1 esk21_0 X1False)(r1_arytm_3 (esk24_2 X1 X2) (esk25_2 X1 X2)False)epred1_0v3_ordinal1 X2v3_ordinal1 X1r1_tarski X2 X1r2_hidden X1 k4_ordinal1False)(∀X2 X1, (X1 = k1_xboole_0False)((k9_ordinal3 (esk18_2 X1 X2) (esk19_2 X1 X2)) = X1False)(epred1_0False)v3_ordinal1 X2v3_ordinal1 X1r1_tarski X2 X1r2_hidden X1 k4_ordinal1False)(∀X1 X2, (X2 = k1_xboole_0False)((k9_ordinal3 (esk18_2 X2 X1) (esk20_2 X2 X1)) = X1False)(epred1_0False)v3_ordinal1 X2v3_ordinal1 X1r1_tarski X1 X2r2_hidden X2 k4_ordinal1False)(∀X2 X1, (X1 = k1_xboole_0False)(epred1_0False)(r1_arytm_3 (esk19_2 X1 X2) (esk20_2 X1 X2)False)v3_ordinal1 X2v3_ordinal1 X1r1_tarski X2 X1r2_hidden X1 k4_ordinal1False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(m2_subset_1 (esk7_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)(∀X3 X2 X1, (k9_ordinal3 X1 X2) = esk21_0(k9_ordinal3 X1 X3) = esk22_0epred1_0v3_ordinal1 X3v3_ordinal1 X2v3_ordinal1 X1v7_ordinal1 X3v7_ordinal1 X2v7_ordinal1 X1r1_arytm_3 X2 X3False)(∀X3 X2 X1, (k9_ordinal3 X1 X2) = esk1_0(k9_ordinal3 X1 X3) = esk2_0v3_ordinal1 X3v3_ordinal1 X2v3_ordinal1 X1v7_ordinal1 X3v7_ordinal1 X2v7_ordinal1 X1r1_arytm_3 X2 X3False)(∀X2 X5 X4 X1 X3, (X3 = np__1False)X2 = (k11_ordinal2 X3 X5)X1 = (k11_ordinal2 X3 X4)v3_ordinal1 X5v3_ordinal1 X4v3_ordinal1 X3v3_ordinal1 X2v3_ordinal1 X1r1_arytm_3 X1 X2False)(∀X2 X1, (X1 = k1_xboole_0False)(r1_ordinal1 esk21_0 X1False)(v7_ordinal1 (esk25_2 X1 X2)False)epred1_0v3_ordinal1 X2v3_ordinal1 X1r1_tarski X2 X1r2_hidden X1 k4_ordinal1False)(∀X2 X1, (X1 = k1_xboole_0False)(r1_ordinal1 esk21_0 X1False)(v7_ordinal1 (esk24_2 X1 X2)False)epred1_0v3_ordinal1 X2v3_ordinal1 X1r1_tarski X2 X1r2_hidden X1 k4_ordinal1False)(∀X2 X1, (X1 = k1_xboole_0False)(r1_ordinal1 esk21_0 X1False)(v7_ordinal1 (esk23_2 X1 X2)False)epred1_0v3_ordinal1 X2v3_ordinal1 X1r1_tarski X2 X1r2_hidden X1 k4_ordinal1False)(∀X2 X1, (X1 = k1_xboole_0False)(r1_ordinal1 esk21_0 X1False)(v3_ordinal1 (esk25_2 X1 X2)False)epred1_0v3_ordinal1 X2v3_ordinal1 X1r1_tarski X2 X1r2_hidden X1 k4_ordinal1False)(∀X2 X1, (X1 = k1_xboole_0False)(r1_ordinal1 esk21_0 X1False)(v3_ordinal1 (esk24_2 X1 X2)False)epred1_0v3_ordinal1 X2v3_ordinal1 X1r1_tarski X2 X1r2_hidden X1 k4_ordinal1False)(∀X2 X1, (X1 = k1_xboole_0False)(r1_ordinal1 esk21_0 X1False)(v3_ordinal1 (esk23_2 X1 X2)False)epred1_0v3_ordinal1 X2v3_ordinal1 X1r1_tarski X2 X1r2_hidden X1 k4_ordinal1False)(∀X1 X2 X3, ((k11_ordinal2 (k11_ordinal2 X1 X2) X3) = (k11_ordinal2 X1 (k11_ordinal2 X2 X3))False)v3_ordinal1 X3v3_ordinal1 X2v3_ordinal1 X1False)(∀X2 X1, ((k11_ordinal2 (esk3_2 X1 X2) (esk4_2 X1 X2)) = X1False)(r1_arytm_3 X1 X2False)v3_ordinal1 X2v3_ordinal1 X1False)(∀X2 X1, ((k11_ordinal2 (esk3_2 X2 X1) (esk5_2 X2 X1)) = X1False)(r1_arytm_3 X2 X1False)v3_ordinal1 X2v3_ordinal1 X1False)(∀X2 X1, (X1 = k1_xboole_0False)(epred1_0False)(v7_ordinal1 (esk20_2 X1 X2)False)v3_ordinal1 X2v3_ordinal1 X1r1_tarski X2 X1r2_hidden X1 k4_ordinal1False)(∀X2 X1, (X1 = k1_xboole_0False)(epred1_0False)(v7_ordinal1 (esk19_2 X1 X2)False)v3_ordinal1 X2v3_ordinal1 X1r1_tarski X2 X1r2_hidden X1 k4_ordinal1False)(∀X2 X1, (X1 = k1_xboole_0False)(epred1_0False)(v7_ordinal1 (esk18_2 X1 X2)False)v3_ordinal1 X2v3_ordinal1 X1r1_tarski X2 X1r2_hidden X1 k4_ordinal1False)(∀X2 X1, (X1 = k1_xboole_0False)(epred1_0False)(v3_ordinal1 (esk20_2 X1 X2)False)v3_ordinal1 X2v3_ordinal1 X1r1_tarski X2 X1r2_hidden X1 k4_ordinal1False)(∀X2 X1, (X1 = k1_xboole_0False)(epred1_0False)(v3_ordinal1 (esk19_2 X1 X2)False)v3_ordinal1 X2v3_ordinal1 X1r1_tarski X2 X1r2_hidden X1 k4_ordinal1False)(∀X2 X1, (X1 = k1_xboole_0False)(epred1_0False)(v3_ordinal1 (esk18_2 X1 X2)False)v3_ordinal1 X2v3_ordinal1 X1r1_tarski X2 X1r2_hidden X1 k4_ordinal1False)(∀X2 X1 X3, (r2_hidden X1 X3False)v3_ordinal1 X3v3_ordinal1 X2v1_ordinal1 X1r2_hidden X2 X3r1_tarski X1 X2False)(∀X2 X1 X3, (m1_subset_1 X1 X3False)r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X2 X1, v1_xboole_0 X1v1_subset_1 X2 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1 X3, v1_xboole_0 X3r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X2 X1, (r1_arytm_3 X1 X2False)(v3_ordinal1 (esk5_2 X1 X2)False)v3_ordinal1 X2v3_ordinal1 X1False)(∀X2 X1, (r1_arytm_3 X1 X2False)(v3_ordinal1 (esk4_2 X1 X2)False)v3_ordinal1 X2v3_ordinal1 X1False)(∀X2 X1, (r1_arytm_3 X1 X2False)(v3_ordinal1 (esk3_2 X1 X2)False)v3_ordinal1 X2v3_ordinal1 X1False)(∀X1 X2, (v7_ordinal1 (k11_ordinal2 X1 X2)False)v3_ordinal1 X2v3_ordinal1 X1v7_ordinal1 X2v7_ordinal1 X1False)(∀X1 X2, (v3_ordinal1 (k11_ordinal2 X1 X2)False)v3_ordinal1 X2v3_ordinal1 X1v7_ordinal1 X2v7_ordinal1 X1False)(∀X1 X2, (v3_ordinal1 (k9_ordinal3 X1 X2)False)v3_ordinal1 X2v3_ordinal1 X1v7_ordinal1 X2v7_ordinal1 X1False)(∀X2 X1, (v1_xboole_0 X1False)(v1_subset_1 X2 X1False)v1_xboole_0 X2m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1, (v1_xboole_0 X1False)(v1_subset_1 X2 X1False)v1_xboole_0 X2m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, ((k9_ordinal3 X1 X2) = (k11_ordinal2 X1 X2)False)v3_ordinal1 X2v3_ordinal1 X1v7_ordinal1 X2v7_ordinal1 X1False)(∀X1 X2, ((k9_ordinal3 X1 X2) = (k9_ordinal3 X2 X1)False)v3_ordinal1 X2v3_ordinal1 X1v7_ordinal1 X2v7_ordinal1 X1False)(∀X1 X2, (X2 = k1_xboole_0False)(r1_ordinal1 X1 (k11_ordinal2 X1 X2)False)v3_ordinal1 X2v3_ordinal1 X1False)(∀X1 X2, (X2 = k1_xboole_0False)(r1_ordinal1 X1 (k11_ordinal2 X2 X1)False)v3_ordinal1 X2v3_ordinal1 X1False)(∀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 X2, (r1_arytm_3 X2 X1False)v3_ordinal1 X2v3_ordinal1 X1r1_arytm_3 X1 X2False)(∀X2 X1, (r1_arytm_3 X1 X2False)(esk3_2 X1 X2) = np__1v3_ordinal1 X2v3_ordinal1 X1False)(∀X2 X1, (r1_tarski X1 X2False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X2 X1, (X1 = X2False)(r2_hidden X2 X1False)(r2_hidden X1 X2False)v3_ordinal1 X2v3_ordinal1 X1False)(∀X1 X2, r2_hidden X1 X2r1_tarski X2 X1False)(∀X2 X1, r2_hidden X2 X1r2_hidden X1 X2False)(∀X2 X1, (v3_ordinal1 (k11_ordinal2 X1 X2)False)v3_ordinal1 X2v3_ordinal1 X1False)(∀X1 X2, (v1_xboole_0 X2False)v1_xboole_0 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 X2, (v3_ordinal1 X2False)v3_ordinal1 X1m1_subset_1 X2 X1False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk16_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk9_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1 X2, v1_xboole_0 X2r2_hidden X1 X2False)(∀X1, (X1 = k1_xboole_0False)v3_ordinal1 X1r2_hidden X1 np__1False)(∀X2 X1, (r1_ordinal1 X1 X1False)v3_ordinal1 X2v3_ordinal1 X1False)(∀X1, (v1_xboole_0 X1False)(v1_subset_1 (esk16_1 X1) X1False)False)(∀X1, (v7_ordinal1 X1False)m1_subset_1 X1 k4_ordinal1False)(∀X1, (v7_ordinal1 X1False)r2_hidden X1 k4_ordinal1False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk9_1 X1)False)(∀X1, ((k11_ordinal2 np__1 X1) = X1False)v3_ordinal1 X1False)(∀X1, ((k11_ordinal2 X1 np__1) = X1False)v3_ordinal1 X1False)(∀X1, (r2_hidden X1 k4_ordinal1False)v7_ordinal1 X1False)(∀X1, ((k11_ordinal2 k1_xboole_0 X1) = k1_xboole_0False)v3_ordinal1 X1False)(∀X1, ((k11_ordinal2 X1 k1_xboole_0) = k1_xboole_0False)v3_ordinal1 X1False)(∀X1, (v3_ordinal1 X1False)v1_ordinal1 X1v2_ordinal1 X1False)(∀X2 X1, (X1 = X2False)v1_xboole_0 X2v1_xboole_0 X1False)((r1_tarski esk22_0 esk21_0False)epred1_0False)((r2_hidden esk21_0 k4_ordinal1False)epred1_0False)(∀X1, (v5_ordinal1 X1False)v1_xboole_0 X1False)(∀X1, (v2_ordinal1 X1False)v3_ordinal1 X1False)(∀X1, (v1_ordinal1 X1False)v3_ordinal1 X1False)(∀X1, (v6_ordinal1 X1False)v1_xboole_0 X1False)(∀X1, (v7_ordinal1 X1False)v1_xboole_0 X1False)(∀X1, (v3_ordinal1 X1False)v1_xboole_0 X1False)(∀X1, (v3_ordinal1 X1False)v7_ordinal1 X1False)(∀X1, (X1 = k1_xboole_0False)v1_xboole_0 X1False)((v3_ordinal1 esk22_0False)epred1_0False)((v3_ordinal1 esk21_0False)epred1_0False)(esk21_0 = k1_xboole_0epred1_0False)(k1_xboole_0 = esk1_0k1_xboole_0 = esk2_0False)(∀X1, v1_subset_1 (esk14_1 X1) X1False)(∀X1, v1_xboole_0 (k1_zfmisc_1 X1)False)(v1_xboole_0 esk17_0False)(v1_xboole_0 esk13_0False)(v1_xboole_0 esk11_0False)(v1_xboole_0 np__1False)(v1_xboole_0 k4_ordinal1False)((m2_subset_1 np__1 k1_numbers k5_numbersFalse)False)(∀X1, (m1_subset_1 (esk14_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (m1_subset_1 (esk12_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (m1_subset_1 (esk6_1 X1) X1False)False)(∀X1, (r1_tarski X1 X1False)False)((m1_subset_1 np__1 k5_numbersFalse)False)((m1_subset_1 np__1 k1_numbersFalse)False)((m1_subset_1 k1_xboole_0 k4_ordinal1False)False)(∀X1, (v1_xboole_0 (esk12_1 X1)False)False)((v2_xxreal_0 np__1False)False)((v1_xboole_0 esk10_0False)False)((v1_xboole_0 k1_xboole_0False)False)((v2_ordinal1 esk11_0False)False)((v1_ordinal1 esk11_0False)False)((v7_ordinal1 esk17_0False)False)((v7_ordinal1 esk15_0False)False)((v7_ordinal1 esk2_0False)False)((v7_ordinal1 esk1_0False)False)((v3_ordinal1 esk11_0False)False)((v3_ordinal1 esk8_0False)False)((v3_ordinal1 esk2_0False)False)((v3_ordinal1 esk1_0False)False)((v3_ordinal1 k4_ordinal1False)False)False
Proof:
The rest of the proof is missing.