Theorem. (t43_fuzzy_2)
∀k1_funct_1 : setsetset, ∀esk20_4 : setsetsetsetset, ∀k1_relset_1 : setsetset, ∀r2_funct_2 : setsetsetsetprop, ∀r2_hidden : setsetprop, ∀k1_fuzzy_1 : setsetsetset, ∀k1_square_1 : setsetset, ∀r1_xxreal_0 : setsetprop, ∀k9_xtuple_0 : setset, ∀v1_relat_1 : setprop, ∀m2_subset_1 : setsetsetprop, ∀k3_numbers : set, ∀v4_membered : setprop, ∀v4_relat_1 : setsetprop, ∀v4_valued_0 : setprop, ∀v6_membered : setprop, ∀v2_valued_0 : setprop, ∀v2_membered : setprop, ∀esk7_2 : setsetset, ∀k4_xxreal_0 : setsetset, ∀v1_xreal_0 : setprop, ∀v1_rat_1 : setprop, ∀v7_ordinal1 : setprop, ∀v1_xxreal_0 : setprop, ∀r1_tarski : setsetprop, ∀k5_numbers : set, ∀esk19_1 : setset, ∀v7_membered : setprop, ∀esk1_0 : set, ∀esk3_0 : set, ∀esk4_0 : set, ∀esk2_0 : set, ∀np__0 : set, ∀v1_finset_1 : setprop, ∀esk16_0 : set, ∀esk9_0 : set, ∀esk6_1 : setset, ∀esk12_0 : set, ∀esk13_0 : set, ∀k4_ordinal1 : set, ∀esk15_1 : setset, ∀esk10_2 : setsetset, ∀esk8_0 : set, ∀esk14_0 : set, ∀esk17_0 : set, ∀esk18_1 : setset, ∀esk11_1 : setset, ∀v1_measure5 : setprop, ∀v6_xxreal_2 : setprop, ∀k1_xxreal_1 : setsetset, ∀v2_xxreal_0 : setprop, ∀v1_subset_1 : setsetprop, ∀v1_int_1 : setprop, ∀k3_xxreal_0 : setsetset, ∀k3_xcmplx_0 : setsetset, ∀v1_xcmplx_0 : setprop, ∀v1_membered : setprop, ∀v1_valued_0 : setprop, ∀v3_membered : setprop, ∀v3_valued_0 : setprop, ∀v5_membered : setprop, ∀k4_numbers : set, ∀k1_xboole_0 : set, ∀k2_square_1 : setsetset, ∀k2_fuzzy_1 : setsetsetset, ∀v1_xboole_0 : setprop, ∀v1_funct_1 : setprop, ∀v5_relat_1 : setsetprop, ∀np__1 : set, ∀k6_numbers : set, ∀k1_rcomp_1 : setsetset, ∀k1_zfmisc_1 : setset, ∀k2_zfmisc_1 : setsetset, ∀m1_subset_1 : setsetprop, ∀v1_funct_2 : setsetsetprop, ∀k1_numbers : set, ∀k8_real_1 : setsetset, ∀esk5_4 : setsetsetsetset, ∀k1_seq_1 : setsetset, ∀k2_fuzzy_2 : setsetsetset, (∀X4 X1 X3 X2, (X1 = (k2_fuzzy_2 X2 X3 X4)False)(v1_xboole_0 X2False)(k8_real_1 (k1_seq_1 X3 (esk5_4 X2 X3 X4 X1)) (k1_seq_1 X4 (esk5_4 X2 X3 X4 X1))) = (k1_seq_1 X1 (esk5_4 X2 X3 X4 X1))v1_funct_1 X4v1_funct_1 X3v1_funct_1 X1v1_funct_2 X4 X2 k1_numbersv1_funct_2 X3 X2 k1_numbersv1_funct_2 X1 X2 k1_numbersv5_relat_1 X4 (k1_rcomp_1 k6_numbers np__1)v5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1)v5_relat_1 X1 (k1_rcomp_1 k6_numbers np__1)m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 k1_numbers))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X2 k1_numbers))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 k1_numbers))False)(∀X2 X3 X1 X4, (X1 = X4False)(k1_relset_1 X2 X1) = (k1_relset_1 X2 X4)(k1_funct_1 X1 (esk20_4 X2 X3 X1 X4)) = (k1_funct_1 X4 (esk20_4 X2 X3 X1 X4))v1_funct_1 X4v1_funct_1 X1m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X4 X2 X3 X1, (X4 = (k2_fuzzy_2 X1 X2 X3)False)(v1_xboole_0 X1False)(m1_subset_1 (esk5_4 X1 X2 X3 X4) X1False)v1_funct_1 X4v1_funct_1 X3v1_funct_1 X2v1_funct_2 X4 X1 k1_numbersv1_funct_2 X3 X1 k1_numbersv1_funct_2 X2 X1 k1_numbersv5_relat_1 X4 (k1_rcomp_1 k6_numbers np__1)v5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1)v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1)m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))False)(∀X1 X3 X2 X4, (r2_funct_2 X2 X3 X4 X1False)v1_funct_1 X4v1_funct_1 X1v1_funct_2 X4 X2 X3v1_funct_2 X1 X2 X3r2_funct_2 X2 X3 X1 X4m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X2 X3 X4 X1 X5, ((k1_seq_1 X1 X5) = (k8_real_1 (k1_seq_1 X3 X5) (k1_seq_1 X4 X5))False)(v1_xboole_0 X2False)X1 = (k2_fuzzy_2 X2 X3 X4)v1_funct_1 X4v1_funct_1 X3v1_funct_1 X1m1_subset_1 X5 X2v1_funct_2 X4 X2 k1_numbersv1_funct_2 X3 X2 k1_numbersv1_funct_2 X1 X2 k1_numbersv5_relat_1 X4 (k1_rcomp_1 k6_numbers np__1)v5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1)v5_relat_1 X1 (k1_rcomp_1 k6_numbers np__1)m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 k1_numbers))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X2 k1_numbers))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 k1_numbers))False)(∀X1 X2 X3 X4, (X3 = X4False)(r2_hidden (esk20_4 X1 X2 X3 X4) (k1_relset_1 X1 X3)False)(k1_relset_1 X1 X3) = (k1_relset_1 X1 X4)v1_funct_1 X4v1_funct_1 X3m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X1 X2 X3 X4, (X3 = X4False)v1_funct_1 X4v1_funct_1 X3v1_funct_2 X4 X1 X2v1_funct_2 X3 X1 X2r2_funct_2 X1 X2 X3 X4m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X1 X2 X3 X4, (X3 = X4False)(m1_subset_1 (esk20_4 X1 X2 X3 X4) X1False)(k1_relset_1 X1 X3) = (k1_relset_1 X1 X4)v1_funct_1 X4v1_funct_1 X3m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X3 X2 X1 X4, ((k2_square_1 (k1_seq_1 X1 X2) (k1_seq_1 X3 X2)) = (k1_seq_1 (k2_fuzzy_1 X4 X1 X3) X2)False)(v1_xboole_0 X4False)v1_funct_1 X3v1_funct_1 X1m1_subset_1 X2 X4v1_funct_2 X3 X4 k1_numbersv1_funct_2 X1 X4 k1_numbersv5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1)v5_relat_1 X1 (k1_rcomp_1 k6_numbers np__1)m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X4 k1_numbers))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X4 k1_numbers))False)(∀X3 X2 X1 X4, ((k1_square_1 (k1_seq_1 X1 X2) (k1_seq_1 X3 X2)) = (k1_seq_1 (k1_fuzzy_1 X4 X1 X3) X2)False)(v1_xboole_0 X4False)v1_funct_1 X3v1_funct_1 X1m1_subset_1 X2 X4v1_funct_2 X3 X4 k1_numbersv1_funct_2 X1 X4 k1_numbersv5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1)v5_relat_1 X1 (k1_rcomp_1 k6_numbers np__1)m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X4 k1_numbers))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X4 k1_numbers))False)(∀X3 X2 X1, (v1_xboole_0 X1False)(m1_subset_1 (k1_fuzzy_1 X1 X2 X3) (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))False)v1_funct_1 X3v1_funct_1 X2v1_funct_2 X3 X1 k1_numbersv1_funct_2 X2 X1 k1_numbersv5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1)v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1)m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))False)(∀X3 X2 X1, (v1_xboole_0 X1False)(m1_subset_1 (k2_fuzzy_2 X1 X2 X3) (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))False)v1_funct_1 X3v1_funct_1 X2v1_funct_2 X3 X1 k1_numbersv1_funct_2 X2 X1 k1_numbersv5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1)v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1)m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))False)(∀X3 X2 X1, (v1_xboole_0 X1False)(m1_subset_1 (k2_fuzzy_1 X1 X2 X3) (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))False)v1_funct_1 X3v1_funct_1 X2v1_funct_2 X3 X1 k1_numbersv1_funct_2 X2 X1 k1_numbersv5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1)v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1)m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))False)(∀X3 X4 X1 X2, (r2_funct_2 X3 X4 X1 X2False)X1 = X2v1_funct_1 X2v1_funct_1 X1v1_funct_2 X2 X3 X4v1_funct_2 X1 X3 X4m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4))False)(∀X3 X2 X1, (v1_xboole_0 X1False)(v1_funct_2 (k1_fuzzy_1 X1 X2 X3) X1 k1_numbersFalse)v1_funct_1 X3v1_funct_1 X2v1_funct_2 X3 X1 k1_numbersv1_funct_2 X2 X1 k1_numbersv5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1)v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1)m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))False)(∀X3 X2 X1, (v1_xboole_0 X1False)(v1_funct_2 (k2_fuzzy_2 X1 X2 X3) X1 k1_numbersFalse)v1_funct_1 X3v1_funct_1 X2v1_funct_2 X3 X1 k1_numbersv1_funct_2 X2 X1 k1_numbersv5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1)v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1)m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))False)(∀X3 X2 X1, (v1_xboole_0 X1False)(v1_funct_2 (k2_fuzzy_1 X1 X2 X3) X1 k1_numbersFalse)v1_funct_1 X3v1_funct_1 X2v1_funct_2 X3 X1 k1_numbersv1_funct_2 X2 X1 k1_numbersv5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1)v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1)m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))False)(∀X4 X1 X3 X2, (r2_funct_2 X2 X3 X1 X1False)v1_funct_1 X4v1_funct_1 X1v1_funct_2 X4 X2 X3v1_funct_2 X1 X2 X3m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X3 X2 X1, (v1_xboole_0 X1False)(v5_relat_1 (k1_fuzzy_1 X1 X2 X3) (k1_rcomp_1 k6_numbers np__1)False)v1_funct_1 X3v1_funct_1 X2v1_funct_2 X3 X1 k1_numbersv1_funct_2 X2 X1 k1_numbersv5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1)v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1)m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))False)(∀X3 X2 X1, (v1_xboole_0 X1False)(v5_relat_1 (k2_fuzzy_2 X1 X2 X3) (k1_rcomp_1 k6_numbers np__1)False)v1_funct_1 X3v1_funct_1 X2v1_funct_2 X3 X1 k1_numbersv1_funct_2 X2 X1 k1_numbersv5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1)v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1)m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))False)(∀X3 X2 X1, (v1_xboole_0 X1False)(v5_relat_1 (k2_fuzzy_1 X1 X2 X3) (k1_rcomp_1 k6_numbers np__1)False)v1_funct_1 X3v1_funct_1 X2v1_funct_2 X3 X1 k1_numbersv1_funct_2 X2 X1 k1_numbersv5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1)v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1)m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))False)(∀X3 X2 X1, (v1_xboole_0 X1False)(v1_funct_1 (k1_fuzzy_1 X1 X2 X3)False)v1_funct_1 X3v1_funct_1 X2v1_funct_2 X3 X1 k1_numbersv1_funct_2 X2 X1 k1_numbersv5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1)v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1)m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))False)(∀X3 X2 X1, (v1_xboole_0 X1False)(v1_funct_1 (k2_fuzzy_2 X1 X2 X3)False)v1_funct_1 X3v1_funct_1 X2v1_funct_2 X3 X1 k1_numbersv1_funct_2 X2 X1 k1_numbersv5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1)v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1)m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))False)(∀X3 X2 X1, (v1_xboole_0 X1False)(v1_funct_1 (k2_fuzzy_1 X1 X2 X3)False)v1_funct_1 X3v1_funct_1 X2v1_funct_2 X3 X1 k1_numbersv1_funct_2 X2 X1 k1_numbersv5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1)v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1)m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))False)(∀X3 X2 X1, ((k1_fuzzy_1 X1 X2 X3) = (k1_fuzzy_1 X1 X3 X2)False)(v1_xboole_0 X1False)v1_funct_1 X3v1_funct_1 X2v1_funct_2 X3 X1 k1_numbersv1_funct_2 X2 X1 k1_numbersv5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1)v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1)m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))False)(∀X3 X2 X1, ((k2_fuzzy_2 X1 X2 X3) = (k2_fuzzy_2 X1 X3 X2)False)(v1_xboole_0 X1False)v1_funct_1 X3v1_funct_1 X2v1_funct_2 X3 X1 k1_numbersv1_funct_2 X2 X1 k1_numbersv5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1)v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1)m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))False)(∀X3 X2 X1, ((k2_fuzzy_1 X1 X2 X3) = (k2_fuzzy_1 X1 X3 X2)False)(v1_xboole_0 X1False)v1_funct_1 X3v1_funct_1 X2v1_funct_2 X3 X1 k1_numbersv1_funct_2 X2 X1 k1_numbersv5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1)v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1)m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))False)(∀X3 X1 X2, ((k1_fuzzy_1 X1 X2 X2) = X2False)(v1_xboole_0 X1False)v1_funct_1 X3v1_funct_1 X2v1_funct_2 X3 X1 k1_numbersv1_funct_2 X2 X1 k1_numbersv5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1)v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1)m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))False)(∀X3 X1 X2, ((k2_fuzzy_1 X1 X2 X2) = X2False)(v1_xboole_0 X1False)v1_funct_1 X3v1_funct_1 X2v1_funct_2 X3 X1 k1_numbersv1_funct_2 X2 X1 k1_numbersv5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1)v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1)m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))False)(∀X1 X2 X3, (v1_xboole_0 X3False)(r1_xxreal_0 (k1_seq_1 X1 X2) np__1False)v1_funct_1 X1m1_subset_1 X2 X3v1_funct_2 X1 X3 k1_numbersv5_relat_1 X1 (k1_rcomp_1 k6_numbers np__1)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 k1_numbers))False)(∀X2 X1 X3, (v1_xboole_0 X3False)(r1_xxreal_0 k6_numbers (k1_seq_1 X1 X2)False)v1_funct_1 X1m1_subset_1 X2 X3v1_funct_2 X1 X3 k1_numbersv5_relat_1 X1 (k1_rcomp_1 k6_numbers np__1)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 k1_numbers))False)(∀X4 X2 X3 X1, (v1_relat_1 (k9_xtuple_0 X1)False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X3) X4))False)(∀X2 X1 X3, (X3 = k1_xboole_0False)((k1_relset_1 X2 X1) = X2False)v1_funct_2 X1 X2 X3m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X3 X2 X1, (X1 = k1_xboole_0False)X3 = k1_xboole_0v1_funct_2 X1 X2 X3m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X1 X2 X3, (X3 = k1_xboole_0False)(v1_funct_2 X2 X1 X3False)(k1_relset_1 X1 X2) = X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))False)(∀X2 X1 X3, ((k2_square_1 (k8_real_1 X3 X1) (k8_real_1 X3 X2)) = (k8_real_1 X3 (k2_square_1 X1 X2))False)m1_subset_1 X3 k1_numbersm1_subset_1 X2 k1_numbersm1_subset_1 X1 k1_numbersr1_xxreal_0 k6_numbers X3False)(∀X1 X2 X3, (v1_funct_2 X1 X2 X3False)X3 = k1_xboole_0X1 = k1_xboole_0m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀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)(∀X1 X3 X2, (v5_relat_1 X2 k3_numbersFalse)v4_membered X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1))False)(∀X1 X3 X2, (v5_relat_1 X2 k4_numbersFalse)v5_membered X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1))False)(∀X3 X1 X2, (v4_relat_1 X1 X2False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X3 X1 X2, (v5_relat_1 X1 X2False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X2))False)(∀X1 X3 X2, (v4_valued_0 X2False)v6_membered X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1))False)(∀X1 X3 X2, (v3_valued_0 X2False)v3_membered X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1))False)(∀X1 X3 X2, (v2_valued_0 X2False)v2_membered X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1))False)(∀X1 X3 X2, (v1_valued_0 X2False)v1_membered X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1))False)(∀X1 X3 X2, (v1_xboole_0 X2False)v1_xboole_0 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))False)(∀X1 X3 X2, (v1_xboole_0 X2False)v1_xboole_0 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1))False)(∀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, (v1_relat_1 X1False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X1 X2 X3, ((k3_xcmplx_0 (k3_xcmplx_0 X1 X2) X3) = (k3_xcmplx_0 X1 (k3_xcmplx_0 X2 X3))False)v1_xcmplx_0 X3v1_xcmplx_0 X2v1_xcmplx_0 X1False)(∀X2 X1, (m1_subset_1 (k2_square_1 X1 X2) k1_numbersFalse)m1_subset_1 X2 k1_numbersm1_subset_1 X1 k1_numbersFalse)(∀X2 X1, (m1_subset_1 (k1_square_1 X1 X2) k1_numbersFalse)m1_subset_1 X2 k1_numbersm1_subset_1 X1 k1_numbersFalse)(∀X2 X1, (m1_subset_1 (k1_relset_1 X2 X1) (k1_zfmisc_1 X2)False)v1_relat_1 X1v4_relat_1 X1 X2False)(∀X1 X2, (v5_relat_1 X2 k3_numbersFalse)v1_relat_1 X1v5_relat_1 X1 k3_numbersm1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v5_relat_1 X2 k4_numbersFalse)v1_relat_1 X1v5_relat_1 X1 k4_numbersm1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1 X3, (m1_subset_1 X1 X3False)r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X2 X1, ((k2_square_1 X1 X2) = (k4_xxreal_0 X1 X2)False)m1_subset_1 X2 k1_numbersm1_subset_1 X1 k1_numbersFalse)(∀X2 X1, ((k1_square_1 X1 X2) = (k3_xxreal_0 X1 X2)False)m1_subset_1 X2 k1_numbersm1_subset_1 X1 k1_numbersFalse)(∀X2 X1, ((k2_square_1 X1 X2) = (k2_square_1 X2 X1)False)m1_subset_1 X2 k1_numbersm1_subset_1 X1 k1_numbersFalse)(∀X2 X1, ((k1_square_1 X1 X2) = (k1_square_1 X2 X1)False)m1_subset_1 X2 k1_numbersm1_subset_1 X1 k1_numbersFalse)(∀X2 X1, (m1_subset_1 (k8_real_1 X1 X2) k1_numbersFalse)v1_xreal_0 X2m1_subset_1 X1 k1_numbersFalse)(∀X2 X1, (v1_int_1 (k1_funct_1 X1 X2)False)v1_funct_1 X1v1_relat_1 X1v5_relat_1 X1 k4_numbersFalse)(∀X2 X1, (v1_rat_1 (k1_funct_1 X1 X2)False)v1_funct_1 X1v1_relat_1 X1v5_relat_1 X1 k3_numbersFalse)(∀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, (m1_subset_1 (k1_seq_1 X1 X2) k1_numbersFalse)v1_funct_1 X1v1_relat_1 X1v3_valued_0 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)(∀X2 X1, (m1_subset_1 (k1_rcomp_1 X1 X2) (k1_zfmisc_1 k1_numbers)False)v1_xreal_0 X2v1_xreal_0 X1False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)v1_xboole_0 (k2_zfmisc_1 X1 X2)False)(∀X2 X1, ((k2_square_1 X1 X1) = X1False)m1_subset_1 X2 k1_numbersm1_subset_1 X1 k1_numbersFalse)(∀X2 X1, ((k1_square_1 X1 X1) = X1False)m1_subset_1 X2 k1_numbersm1_subset_1 X1 k1_numbersFalse)(∀X2 X1, ((k8_real_1 X1 X2) = (k8_real_1 X2 X1)False)v1_xreal_0 X2m1_subset_1 X1 k1_numbersFalse)(∀X2 X1, ((k8_real_1 X1 X2) = (k3_xcmplx_0 X1 X2)False)v1_xreal_0 X2m1_subset_1 X1 k1_numbersFalse)(∀X2 X1, (v7_ordinal1 (k1_funct_1 X1 X2)False)v1_funct_1 X1v1_relat_1 X1v4_valued_0 X1False)(∀X2 X1, (v1_xreal_0 (k1_funct_1 X1 X2)False)v1_funct_1 X1v1_relat_1 X1v3_valued_0 X1False)(∀X2 X1, (v1_xxreal_0 (k1_funct_1 X1 X2)False)v1_funct_1 X1v1_relat_1 X1v2_valued_0 X1False)(∀X2 X1, (v1_xcmplx_0 (k1_funct_1 X1 X2)False)v1_funct_1 X1v1_relat_1 X1v1_valued_0 X1False)(∀X1 X2, (v4_valued_0 X2False)v1_relat_1 X1v4_valued_0 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v3_valued_0 X2False)v1_relat_1 X1v3_valued_0 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v2_valued_0 X2False)v1_relat_1 X1v2_valued_0 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v1_valued_0 X2False)v1_relat_1 X1v1_valued_0 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1, ((k1_seq_1 X1 X2) = (k1_funct_1 X1 X2)False)v1_funct_1 X1v1_relat_1 X1v3_valued_0 X1False)(∀X1 X2, (v2_xxreal_0 X2False)v1_xreal_0 X2v1_xreal_0 X1v2_xxreal_0 X1r1_xxreal_0 X1 X2False)(∀X1 X2, (v2_xxreal_0 X2False)v1_xreal_0 X2v1_xreal_0 X1v2_xxreal_0 X1r1_xxreal_0 X1 X2False)(∀X2 X1, ((k1_relset_1 X2 X1) = (k9_xtuple_0 X1)False)v1_relat_1 X1v4_relat_1 X1 X2False)(∀X2 X1, (r1_tarski X1 X2False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X2 X1, (v5_relat_1 (k2_zfmisc_1 X2 X1) k3_numbersFalse)v4_membered X1False)(∀X2 X1, (v5_relat_1 (k2_zfmisc_1 X2 X1) k4_numbersFalse)v5_membered X1False)(∀X2 X1, r2_hidden X2 X1r2_hidden X1 X2False)(∀X1 X2, (v4_membered X2False)v4_membered X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v3_membered X2False)v3_membered X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v2_membered X2False)v2_membered X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v1_membered X2False)v1_membered X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v6_membered X2False)v6_membered X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v5_membered X2False)v5_membered X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v1_xboole_0 X2False)v1_xboole_0 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1, (r1_xxreal_0 X2 X1False)(r1_xxreal_0 X1 X2False)v1_xxreal_0 X2v1_xxreal_0 X1False)(∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2)False)r1_tarski X1 X2False)(∀X2 X1, ((k1_xxreal_1 X1 X2) = (k1_rcomp_1 X1 X2)False)v1_xreal_0 X2v1_xreal_0 X1False)(∀X2 X1, ((k4_xxreal_0 X1 X2) = (k4_xxreal_0 X2 X1)False)v1_xxreal_0 X2v1_xxreal_0 X1False)(∀X2 X1, ((k3_xxreal_0 X1 X2) = (k3_xxreal_0 X2 X1)False)v1_xxreal_0 X2v1_xxreal_0 X1False)(∀X2 X1, ((k3_xcmplx_0 X1 X2) = (k3_xcmplx_0 X2 X1)False)v1_xcmplx_0 X2v1_xcmplx_0 X1False)(∀X1 X2, (v1_xboole_0 X2False)(r2_hidden X1 X2False)m1_subset_1 X1 X2False)(∀X1, (v5_relat_1 X1 k3_numbersFalse)v1_relat_1 X1v5_relat_1 X1 k4_numbersFalse)(∀X1, (v6_xxreal_2 X1False)v1_measure5 X1m1_subset_1 X1 (k1_zfmisc_1 k1_numbers)False)(∀X1, (v1_measure5 X1False)v1_xboole_0 X1m1_subset_1 X1 (k1_zfmisc_1 k1_numbers)False)(∀X2 X1, (v4_valued_0 (k2_zfmisc_1 X2 X1)False)v6_membered X1False)(∀X2 X1, (v3_valued_0 (k2_zfmisc_1 X2 X1)False)v3_membered X1False)(∀X2 X1, (v2_valued_0 (k2_zfmisc_1 X2 X1)False)v2_membered X1False)(∀X2 X1, (v1_valued_0 (k2_zfmisc_1 X2 X1)False)v1_membered X1False)(∀X2 X1, (m1_subset_1 X1 X2False)r2_hidden X1 X2False)(∀X1 X2, (v7_ordinal1 X2False)v6_membered X1m1_subset_1 X2 X1False)(∀X1 X2, (v1_int_1 X2False)v5_membered X1m1_subset_1 X2 X1False)(∀X1 X2, (v1_rat_1 X2False)v4_membered X1m1_subset_1 X2 X1False)(∀X1 X2, (v1_xreal_0 X2False)v3_membered X1m1_subset_1 X2 X1False)(∀X1 X2, (v1_xxreal_0 X2False)v2_membered X1m1_subset_1 X2 X1False)(∀X1 X2, (v1_xcmplx_0 X2False)v1_membered X1m1_subset_1 X2 X1False)(∀X1, (v4_valued_0 X1False)v1_relat_1 X1v5_relat_1 X1 k5_numbersFalse)(∀X1, (v3_valued_0 X1False)v1_relat_1 X1v5_relat_1 X1 k3_numbersFalse)(∀X1, (v3_valued_0 X1False)v1_relat_1 X1v5_relat_1 X1 k4_numbersFalse)(∀X1, (v3_valued_0 X1False)v1_relat_1 X1v5_relat_1 X1 k1_numbersFalse)(∀X1, (v4_membered X1False)m1_subset_1 X1 (k1_zfmisc_1 k3_numbers)False)(∀X1, (v3_membered X1False)m1_subset_1 X1 (k1_zfmisc_1 k1_numbers)False)(∀X1, (v6_membered X1False)m1_subset_1 X1 (k1_zfmisc_1 k5_numbers)False)(∀X1, (v5_membered X1False)m1_subset_1 X1 (k1_zfmisc_1 k4_numbers)False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk19_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk11_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1 X2, v1_xboole_0 X2r2_hidden X1 X2False)(∀X2 X1, ((k4_xxreal_0 X1 X1) = X1False)v1_xxreal_0 X2v1_xxreal_0 X1False)(∀X2 X1, ((k3_xxreal_0 X1 X1) = X1False)v1_xxreal_0 X2v1_xxreal_0 X1False)(∀X2 X1, (r1_xxreal_0 X1 X1False)v1_xxreal_0 X2v1_xxreal_0 X1False)(∀X1, (v5_relat_1 X1 k3_numbersFalse)v1_relat_1 X1v4_valued_0 X1False)(∀X1, (v5_relat_1 X1 k4_numbersFalse)v1_relat_1 X1v4_valued_0 X1False)(∀X1, (v1_xboole_0 X1False)(v1_subset_1 (esk19_1 X1) X1False)False)(∀X1, (v6_membered X1False)m1_subset_1 X1 k5_numbersFalse)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk11_1 X1)False)(∀X1, ((k3_xcmplx_0 np__1 X1) = X1False)v1_xcmplx_0 X1False)(∀X1, ((k3_xcmplx_0 X1 k6_numbers) = k6_numbersFalse)v1_xcmplx_0 X1False)(∀X1, (v4_valued_0 X1False)v1_xboole_0 X1v1_relat_1 X1False)(∀X1, (v3_valued_0 X1False)v1_relat_1 X1v4_valued_0 X1False)(∀X1, (v2_valued_0 X1False)v1_relat_1 X1v3_valued_0 X1False)(∀X1, (v1_valued_0 X1False)v1_relat_1 X1v3_valued_0 X1False)(∀X2 X1, (X1 = X2False)v1_xboole_0 X2v1_xboole_0 X1False)(∀X1, (v7_membered X1False)v1_xboole_0 X1False)(∀X1, (v4_membered X1False)v5_membered X1False)(∀X1, (v3_membered X1False)v4_membered X1False)(∀X1, (v2_membered X1False)v3_membered X1False)(∀X1, (v1_membered X1False)v3_membered X1False)(∀X1, (v6_membered X1False)v1_xboole_0 X1False)(∀X1, (v5_membered X1False)v6_membered X1False)(∀X1, (X1 = k1_xboole_0False)v1_xboole_0 X1False)(r2_funct_2 esk1_0 k1_numbers (k2_fuzzy_2 esk1_0 esk2_0 (k2_fuzzy_1 esk1_0 esk3_0 esk4_0)) (k2_fuzzy_1 esk1_0 (k2_fuzzy_2 esk1_0 esk2_0 esk3_0) (k2_fuzzy_2 esk1_0 esk2_0 esk4_0))False)(∀X1, v1_subset_1 (esk18_1 X1) X1False)(r1_xxreal_0 np__1 np__0False)(∀X1, v1_xboole_0 (k1_zfmisc_1 X1)False)(v1_finset_1 k3_numbersFalse)(v1_finset_1 k4_numbersFalse)(v1_finset_1 k1_numbersFalse)(v1_xboole_0 esk17_0False)(v1_xboole_0 esk16_0False)(v1_xboole_0 esk14_0False)(v1_xboole_0 esk9_0False)(v1_xboole_0 esk8_0False)(v1_xboole_0 esk1_0False)(v1_xboole_0 k3_numbersFalse)(v1_xboole_0 k4_numbersFalse)(v1_xboole_0 k1_numbersFalse)(v1_xboole_0 np__1False)(∀X2 X1, (m1_subset_1 (esk10_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)False)((m1_subset_1 esk4_0 (k1_zfmisc_1 (k2_zfmisc_1 esk1_0 k1_numbers))False)False)((m1_subset_1 esk3_0 (k1_zfmisc_1 (k2_zfmisc_1 esk1_0 k1_numbers))False)False)((m1_subset_1 esk2_0 (k1_zfmisc_1 (k2_zfmisc_1 esk1_0 k1_numbers))False)False)((m2_subset_1 np__0 k1_numbers k5_numbersFalse)False)((m2_subset_1 np__1 k1_numbers k5_numbersFalse)False)((m2_subset_1 k6_numbers k1_numbers k5_numbersFalse)False)((v1_funct_2 esk4_0 esk1_0 k1_numbersFalse)False)((v1_funct_2 esk3_0 esk1_0 k1_numbersFalse)False)((v1_funct_2 esk2_0 esk1_0 k1_numbersFalse)False)(∀X1 X2, (v4_relat_1 (esk10_2 X1 X2) X1False)False)(∀X2 X1, (v5_relat_1 (esk10_2 X1 X2) X2False)False)((v5_relat_1 esk4_0 (k1_rcomp_1 k6_numbers np__1)False)False)((v5_relat_1 esk3_0 (k1_rcomp_1 k6_numbers np__1)False)False)((v5_relat_1 esk2_0 (k1_rcomp_1 k6_numbers np__1)False)False)(∀X1 X2, (v1_relat_1 (esk10_2 X1 X2)False)False)(∀X1 X2, (v1_xboole_0 (esk10_2 X1 X2)False)False)(∀X1, (m1_subset_1 (esk18_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (m1_subset_1 (esk15_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (m1_subset_1 (esk6_1 X1) X1False)False)((m1_subset_1 esk8_0 (k1_zfmisc_1 k1_numbers)False)False)((m1_subset_1 k5_numbers (k1_zfmisc_1 k1_numbers)False)False)(∀X1, (r1_tarski X1 X1False)False)((r1_xxreal_0 np__0 np__0False)False)((r1_xxreal_0 np__0 np__1False)False)((r1_xxreal_0 np__1 np__1False)False)((m1_subset_1 np__0 k5_numbersFalse)False)((m1_subset_1 np__0 k1_numbersFalse)False)((m1_subset_1 k1_xboole_0 k4_ordinal1False)False)((m1_subset_1 np__1 k5_numbersFalse)False)((m1_subset_1 np__1 k1_numbersFalse)False)(((k3_xcmplx_0 np__0 np__0) = np__0False)False)(((k3_xcmplx_0 np__0 np__1) = np__0False)False)(((k3_xcmplx_0 np__1 np__0) = np__0False)False)(((k3_xcmplx_0 np__1 np__1) = np__1False)False)(∀X1, (v1_xboole_0 (esk15_1 X1)False)False)((v2_xxreal_0 np__1False)False)((v7_membered esk17_0False)False)((v7_membered k4_ordinal1False)False)((v7_membered k3_numbersFalse)False)((v7_membered k4_numbersFalse)False)((v7_membered k1_numbersFalse)False)((v1_measure5 esk8_0False)False)((v4_valued_0 esk12_0False)False)((v4_membered k3_numbersFalse)False)((v3_membered esk8_0False)False)((v3_membered k1_numbersFalse)False)((v2_membered esk8_0False)False)((v1_membered esk8_0False)False)((v6_membered esk17_0False)False)((v6_membered esk14_0False)False)((v6_membered esk9_0False)False)((v6_membered k4_ordinal1False)False)((v1_relat_1 esk12_0False)False)((v5_membered k4_numbersFalse)False)((v1_funct_1 esk12_0False)False)((v1_funct_1 esk4_0False)False)((v1_funct_1 esk3_0False)False)((v1_funct_1 esk2_0False)False)((v1_xboole_0 esk13_0False)False)((v1_xboole_0 np__0False)False)((v1_xboole_0 k1_xboole_0False)False)((k5_numbers = k4_ordinal1False)False)((k1_xboole_0 = k6_numbersFalse)False)False
Proof:
The rest of the proof is missing.