Theorem. (t9_diff_2)
∀v1_xreal_0 : setprop, ∀v3_valued_0 : setprop, ∀v1_relat_1 : setprop, ∀k10_real_1 : setsetset, ∀k9_real_1 : setsetset, ∀k6_xcmplx_0 : setsetset, ∀k11_diff_1 : setsetsetsetsetset, ∀k9_diff_1 : setsetsetset, ∀v1_xboole_0 : setprop, ∀v1_partfun1 : setsetprop, ∀v4_membered : setprop, ∀v1_membered : setprop, ∀v5_membered : setprop, ∀k1_seq_1 : setsetset, ∀v4_relat_1 : setsetprop, ∀v1_valued_0 : setprop, ∀m2_subset_1 : setsetsetprop, ∀k3_numbers : set, ∀v5_relat_1 : setsetprop, ∀v1_xcmplx_0 : setprop, ∀k2_xcmplx_0 : setsetset, ∀k7_xcmplx_0 : setsetset, ∀k4_xcmplx_0 : setset, ∀v1_rat_1 : setprop, ∀v7_ordinal1 : setprop, ∀v1_xxreal_0 : setprop, ∀r1_tarski : setsetprop, ∀k5_numbers : set, ∀esk6_0 : set, ∀esk2_0 : set, ∀esk3_0 : set, ∀esk4_0 : set, ∀esk1_0 : set, ∀esk5_0 : set, ∀esk18_0 : set, ∀esk15_0 : set, ∀esk10_0 : set, ∀esk9_2 : setsetset, ∀esk21_1 : setset, ∀k4_ordinal1 : set, ∀esk16_0 : set, ∀esk12_0 : set, ∀esk13_0 : set, ∀esk20_0 : set, ∀esk19_0 : set, ∀esk7_1 : setset, ∀esk22_1 : setset, ∀esk11_2 : setsetset, ∀esk14_0 : set, ∀esk17_0 : set, ∀v1_finset_1 : setprop, ∀k1_xboole_0 : set, ∀v7_membered : setprop, ∀np__1 : set, ∀v1_int_1 : setprop, ∀k1_funct_1 : setsetset, ∀r2_hidden : setsetprop, ∀v2_xxreal_0 : setprop, ∀v3_xxreal_0 : setprop, ∀esk8_2 : setsetset, ∀v2_membered : setprop, ∀v2_valued_0 : setprop, ∀v4_valued_0 : setprop, ∀k4_numbers : set, ∀v6_membered : setprop, ∀k1_valued_1 : setsetset, ∀v3_membered : setprop, ∀v1_funct_1 : setprop, ∀m1_subset_1 : setsetprop, ∀k2_zfmisc_1 : setsetset, ∀k1_zfmisc_1 : setset, ∀v1_funct_2 : setsetsetprop, ∀k3_valued_1 : setsetsetsetsetset, ∀k1_numbers : set, ∀k7_real_1 : setsetset, ∀k10_diff_1 : setsetsetsetset, (∀X4 X2 X1 X3 X5, ((k7_real_1 (k10_diff_1 X4 X1 X2 X3) (k10_diff_1 X5 X1 X2 X3)) = (k10_diff_1 (k3_valued_1 k1_numbers k1_numbers k1_numbers X4 X5) X1 X2 X3)False)v1_funct_1 X5v1_funct_1 X4m1_subset_1 X3 k1_numbersm1_subset_1 X2 k1_numbersm1_subset_1 X1 k1_numbersv1_funct_2 X5 k1_numbers k1_numbersv1_funct_2 X4 k1_numbers k1_numbersm1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_numbers))m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_numbers))False)(∀X5 X2 X3 X4 X1, ((k10_real_1 (k9_real_1 (k10_diff_1 X1 X2 X3 X4) (k10_diff_1 X1 X3 X4 X5)) (k6_xcmplx_0 X2 X5)) = (k11_diff_1 X1 X2 X3 X4 X5)False)v1_funct_1 X1v1_relat_1 X1v3_valued_0 X1v1_xreal_0 X5v1_xreal_0 X4v1_xreal_0 X3v1_xreal_0 X2False)(∀X4 X2 X1 X3 X5, (m1_subset_1 (k3_valued_1 X1 X2 X3 X4 X5) (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))False)v1_funct_1 X5v1_funct_1 X4v3_membered X3v3_membered X2m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X4 X2 X1 X3 X5, (v1_funct_1 (k3_valued_1 X1 X2 X3 X4 X5)False)v1_funct_1 X5v1_funct_1 X4v3_membered X3v3_membered X2m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X3 X1 X4 X2 X5, ((k3_valued_1 X4 X1 X2 X3 X5) = (k3_valued_1 X4 X1 X2 X5 X3)False)v1_funct_1 X5v1_funct_1 X3v3_membered X2v3_membered X1m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 X2))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X4 X1))False)(∀X5 X2 X3 X4 X1, (m1_subset_1 (k11_diff_1 X1 X2 X3 X4 X5) k1_numbersFalse)v1_funct_1 X1v1_relat_1 X1v3_valued_0 X1v1_xreal_0 X5v1_xreal_0 X4v1_xreal_0 X3v1_xreal_0 X2False)(∀X3 X1 X4 X2 X5, ((k3_valued_1 X4 X1 X2 X3 X5) = (k1_valued_1 X3 X5)False)v1_funct_1 X5v1_funct_1 X3v3_membered X2v3_membered X1m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 X2))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X4 X1))False)(∀X4 X3 X2 X1, ((k10_real_1 (k9_real_1 (k9_diff_1 X1 X2 X3) (k9_diff_1 X1 X3 X4)) (k6_xcmplx_0 X2 X4)) = (k10_diff_1 X1 X2 X3 X4)False)v1_funct_1 X1v1_relat_1 X1v3_valued_0 X1v1_xreal_0 X4v1_xreal_0 X3v1_xreal_0 X2False)(∀X4 X3 X2 X1, (m1_subset_1 (k10_diff_1 X1 X2 X3 X4) k1_numbersFalse)v1_funct_1 X1v1_relat_1 X1v3_valued_0 X1v1_xreal_0 X4v1_xreal_0 X3v1_xreal_0 X2False)(∀X4 X2 X1 X3 X5, (v1_xboole_0 X5False)(v1_xboole_0 X4False)(v1_partfun1 (k1_valued_1 X1 X2) X3False)v1_funct_1 X2v1_funct_1 X1v4_membered X5v4_membered X4v1_funct_2 X2 X3 X5v1_funct_2 X1 X3 X4m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X5))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4))False)(∀X4 X2 X1 X3 X5, (v1_xboole_0 X5False)(v1_xboole_0 X4False)(v1_partfun1 (k1_valued_1 X1 X2) X3False)v1_funct_1 X2v1_funct_1 X1v3_membered X5v3_membered X4v1_funct_2 X2 X3 X5v1_funct_2 X1 X3 X4m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X5))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4))False)(∀X4 X2 X1 X3 X5, (v1_xboole_0 X5False)(v1_xboole_0 X4False)(v1_partfun1 (k1_valued_1 X1 X2) X3False)v1_funct_1 X2v1_funct_1 X1v1_membered X5v1_membered X4v1_funct_2 X2 X3 X5v1_funct_2 X1 X3 X4m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X5))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4))False)(∀X4 X2 X1 X3 X5, (v1_xboole_0 X5False)(v1_xboole_0 X4False)(v1_partfun1 (k1_valued_1 X1 X2) X3False)v1_funct_1 X2v1_funct_1 X1v6_membered X5v6_membered X4v1_funct_2 X2 X3 X5v1_funct_2 X1 X3 X4m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X5))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4))False)(∀X4 X2 X1 X3 X5, (v1_xboole_0 X5False)(v1_xboole_0 X4False)(v1_partfun1 (k1_valued_1 X1 X2) X3False)v1_funct_1 X2v1_funct_1 X1v5_membered X5v5_membered X4v1_funct_2 X2 X3 X5v1_funct_2 X1 X3 X4m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X5))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4))False)(∀X3 X5 X2 X1 X4, (v1_xboole_0 X4False)(v1_xboole_0 X3False)(v1_funct_1 (k1_valued_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v4_membered X4v4_membered X3v1_funct_2 X2 X5 X4v1_funct_2 X1 X5 X3m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X5 X4))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X5 X3))False)(∀X3 X5 X2 X1 X4, (v1_xboole_0 X4False)(v1_xboole_0 X3False)(v1_funct_1 (k1_valued_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v3_membered X4v3_membered X3v1_funct_2 X2 X5 X4v1_funct_2 X1 X5 X3m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X5 X4))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X5 X3))False)(∀X3 X5 X2 X1 X4, (v1_xboole_0 X4False)(v1_xboole_0 X3False)(v1_funct_1 (k1_valued_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_membered X4v1_membered X3v1_funct_2 X2 X5 X4v1_funct_2 X1 X5 X3m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X5 X4))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X5 X3))False)(∀X3 X5 X2 X1 X4, (v1_xboole_0 X4False)(v1_xboole_0 X3False)(v1_funct_1 (k1_valued_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v6_membered X4v6_membered X3v1_funct_2 X2 X5 X4v1_funct_2 X1 X5 X3m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X5 X4))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X5 X3))False)(∀X3 X5 X2 X1 X4, (v1_xboole_0 X4False)(v1_xboole_0 X3False)(v1_funct_1 (k1_valued_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v5_membered X4v5_membered X3v1_funct_2 X2 X5 X4v1_funct_2 X1 X5 X3m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X5 X4))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X5 X3))False)(∀X2 X3 X1, ((k10_real_1 (k9_real_1 (k1_seq_1 X1 X2) (k1_seq_1 X1 X3)) (k6_xcmplx_0 X2 X3)) = (k9_diff_1 X1 X2 X3)False)v1_funct_1 X1v1_relat_1 X1v3_valued_0 X1v1_xreal_0 X3v1_xreal_0 X2False)(∀X2 X1 X3, (v1_xboole_0 X3False)(v1_xboole_0 X2False)v1_funct_1 X1v1_xboole_0 X1v1_funct_2 X1 X2 X3m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X3 X2 X1, (v1_partfun1 X2 X1False)v1_xboole_0 X1v1_funct_2 X2 X1 X3m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))False)(∀X3 X2 X1, (v1_xboole_0 X1False)(v1_partfun1 X2 X3False)v1_funct_2 X2 X3 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1))False)(∀X2 X1, (v1_partfun1 X1 X2False)v1_funct_2 X1 X2 X2m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X2))False)(∀X3 X1 X2, (v1_funct_2 X1 X2 X3False)v1_partfun1 X1 X2m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X1 X3 X2, (v1_partfun1 (k1_valued_1 X1 X2) X3False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v1_valued_0 X2v1_valued_0 X1v1_partfun1 X2 X3v1_partfun1 X1 X3v4_relat_1 X2 X3v4_relat_1 X1 X3False)(∀X3 X2 X1, (v1_relat_1 (k1_valued_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v1_valued_0 X2v1_valued_0 X1v1_partfun1 X2 X3v1_partfun1 X1 X3v4_relat_1 X2 X3v4_relat_1 X1 X3False)(∀X3 X2 X1, (v1_funct_1 (k1_valued_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v1_valued_0 X2v1_valued_0 X1v1_partfun1 X2 X3v1_partfun1 X1 X3v4_relat_1 X2 X3v4_relat_1 X1 X3False)(∀X2 X3 X1, (m1_subset_1 (k9_diff_1 X1 X2 X3) k1_numbersFalse)v1_funct_1 X1v1_relat_1 X1v3_valued_0 X1v1_xreal_0 X3v1_xreal_0 X2False)(∀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 X2 X3, ((k2_xcmplx_0 (k7_xcmplx_0 X1 X2) (k7_xcmplx_0 X3 X2)) = (k7_xcmplx_0 (k2_xcmplx_0 X1 X3) X2)False)v1_xcmplx_0 X3v1_xcmplx_0 X2v1_xcmplx_0 X1False)(∀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 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 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(m2_subset_1 (esk8_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, (v5_relat_1 (k1_valued_1 X1 X2) k3_numbersFalse)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v5_relat_1 X2 k3_numbersv5_relat_1 X1 k3_numbersFalse)(∀X1 X2, (v5_relat_1 (k1_valued_1 X1 X2) k4_numbersFalse)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v5_relat_1 X2 k4_numbersv5_relat_1 X1 k4_numbersFalse)(∀X1 X3 X2, (v4_relat_1 (k1_valued_1 X1 X2) X3False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v1_valued_0 X2v1_valued_0 X1v4_relat_1 X2 X3False)(∀X1 X2 X3, ((k2_xcmplx_0 (k2_xcmplx_0 X1 X2) X3) = (k2_xcmplx_0 X1 (k2_xcmplx_0 X2 X3))False)v1_xcmplx_0 X3v1_xcmplx_0 X2v1_xcmplx_0 X1False)(∀X1 X2, (v1_relat_1 (k1_valued_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v5_relat_1 X2 k3_numbersv5_relat_1 X1 k3_numbersFalse)(∀X1 X2, (v1_relat_1 (k1_valued_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v5_relat_1 X2 k4_numbersv5_relat_1 X1 k4_numbersFalse)(∀X1 X2, (v1_funct_1 (k1_valued_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v5_relat_1 X2 k3_numbersv5_relat_1 X1 k3_numbersFalse)(∀X1 X2, (v1_funct_1 (k1_valued_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v5_relat_1 X2 k4_numbersv5_relat_1 X1 k4_numbersFalse)(∀X3 X2 X1, (v1_relat_1 (k1_valued_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v1_valued_0 X2v1_valued_0 X1v4_relat_1 X2 X3False)(∀X3 X2 X1, (v1_funct_1 (k1_valued_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v1_valued_0 X2v1_valued_0 X1v4_relat_1 X2 X3False)(∀X1 X2, (v4_valued_0 (k1_valued_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v4_valued_0 X2v4_valued_0 X1False)(∀X1 X2, (v3_valued_0 (k1_valued_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v3_valued_0 X2v3_valued_0 X1False)(∀X1 X2, (v1_valued_0 (k1_valued_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v1_valued_0 X2v1_valued_0 X1False)(∀X1 X2, (v1_relat_1 (k1_valued_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v4_valued_0 X2v4_valued_0 X1False)(∀X1 X2, (v1_relat_1 (k1_valued_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v3_valued_0 X2v3_valued_0 X1False)(∀X1 X2, (v1_relat_1 (k1_valued_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v1_valued_0 X2v1_valued_0 X1False)(∀X1 X2, (v1_relat_1 (k1_valued_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v1_valued_0 X2v1_valued_0 X1False)(∀X1 X2, (v1_funct_1 (k1_valued_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v4_valued_0 X2v4_valued_0 X1False)(∀X1 X2, (v1_funct_1 (k1_valued_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v3_valued_0 X2v3_valued_0 X1False)(∀X1 X2, (v1_funct_1 (k1_valued_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v1_valued_0 X2v1_valued_0 X1False)(∀X1 X2, (v1_funct_1 (k1_valued_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v1_valued_0 X2v1_valued_0 X1False)(∀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)(∀X1 X2, (v3_xxreal_0 X2False)(v3_xxreal_0 X1False)v1_xreal_0 X2v1_xreal_0 X1v3_xxreal_0 (k7_xcmplx_0 X1 X2)False)(∀X1 X2, (v3_xxreal_0 X2False)(v3_xxreal_0 X1False)v1_xreal_0 X2v1_xreal_0 X1v3_xxreal_0 (k2_xcmplx_0 X1 X2)False)(∀X1 X2, (v2_xxreal_0 X2False)(v3_xxreal_0 X1False)v1_xreal_0 X2v1_xreal_0 X1v3_xxreal_0 (k6_xcmplx_0 X1 X2)False)(∀X1 X2, (v2_xxreal_0 X2False)(v3_xxreal_0 X1False)v1_xreal_0 X2v1_xreal_0 X1v2_xxreal_0 (k7_xcmplx_0 X1 X2)False)(∀X1 X2, (v2_xxreal_0 X2False)(v3_xxreal_0 X1False)v1_xreal_0 X2v1_xreal_0 X1v2_xxreal_0 (k7_xcmplx_0 X2 X1)False)(∀X1 X2, (v2_xxreal_0 X2False)(v3_xxreal_0 X1False)v1_xreal_0 X2v1_xreal_0 X1v2_xxreal_0 (k6_xcmplx_0 X2 X1)False)(∀X1 X2, (v2_xxreal_0 X2False)(v2_xxreal_0 X1False)v1_xreal_0 X2v1_xreal_0 X1v3_xxreal_0 (k7_xcmplx_0 X1 X2)False)(∀X1 X2, (v2_xxreal_0 X2False)(v2_xxreal_0 X1False)v1_xreal_0 X2v1_xreal_0 X1v2_xxreal_0 (k2_xcmplx_0 X1 X2)False)(∀X1 X2, ((k1_valued_1 X1 X2) = (k1_valued_1 X2 X1)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v1_valued_0 X2v1_valued_0 X1False)(∀X2 X1, ((k2_xcmplx_0 (k4_xcmplx_0 X1) (k4_xcmplx_0 X2)) = (k4_xcmplx_0 (k2_xcmplx_0 X1 X2))False)v1_xcmplx_0 X2v1_xcmplx_0 X1False)(∀X2 X1 X3, (m1_subset_1 X1 X3False)r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X2 X1, (m1_subset_1 (k10_real_1 X1 X2) k1_numbersFalse)v1_xreal_0 X2m1_subset_1 X1 k1_numbersFalse)(∀X2 X1, (m1_subset_1 (k9_real_1 X1 X2) k1_numbersFalse)v1_xreal_0 X2m1_subset_1 X1 k1_numbersFalse)(∀X2 X1, (m1_subset_1 (k7_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 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)(∀X1 X2, (v3_xxreal_0 X2False)(v3_xxreal_0 (k6_xcmplx_0 X1 X2)False)v1_xreal_0 X2v1_xreal_0 X1v3_xxreal_0 X1False)(∀X1 X2, (v3_xxreal_0 X2False)(v2_xxreal_0 (k6_xcmplx_0 X2 X1)False)v1_xreal_0 X2v1_xreal_0 X1v3_xxreal_0 X1False)(∀X1 X2, (v3_xxreal_0 X2False)(v2_xxreal_0 (k2_xcmplx_0 X1 X2)False)v1_xreal_0 X2v1_xreal_0 X1v2_xxreal_0 X1False)(∀X1 X2, (v3_xxreal_0 X2False)(v2_xxreal_0 (k2_xcmplx_0 X2 X1)False)v1_xreal_0 X2v1_xreal_0 X1v2_xxreal_0 X1False)(∀X1 X2, (v2_xxreal_0 X2False)(v3_xxreal_0 (k6_xcmplx_0 X2 X1)False)v1_xreal_0 X2v1_xreal_0 X1v2_xxreal_0 X1False)(∀X1 X2, (v2_xxreal_0 X2False)(v3_xxreal_0 (k2_xcmplx_0 X1 X2)False)v1_xreal_0 X2v1_xreal_0 X1v3_xxreal_0 X1False)(∀X1 X2, (v2_xxreal_0 X2False)(v3_xxreal_0 (k2_xcmplx_0 X2 X1)False)v1_xreal_0 X2v1_xreal_0 X1v3_xxreal_0 X1False)(∀X1 X2, (v2_xxreal_0 X2False)(v2_xxreal_0 (k6_xcmplx_0 X1 X2)False)v1_xreal_0 X2v1_xreal_0 X1v2_xxreal_0 X1False)(∀X2 X1, ((k10_real_1 X1 X2) = (k7_xcmplx_0 X1 X2)False)v1_xreal_0 X2m1_subset_1 X1 k1_numbersFalse)(∀X2 X1, ((k9_real_1 X1 X2) = (k6_xcmplx_0 X1 X2)False)v1_xreal_0 X2m1_subset_1 X1 k1_numbersFalse)(∀X2 X1, ((k7_real_1 X1 X2) = (k2_xcmplx_0 X1 X2)False)v1_xreal_0 X2m1_subset_1 X1 k1_numbersFalse)(∀X2 X1, ((k7_real_1 X1 X2) = (k7_real_1 X2 X1)False)v1_xreal_0 X2m1_subset_1 X1 k1_numbersFalse)(∀X2 X1, ((k6_xcmplx_0 (k4_xcmplx_0 X1) (k4_xcmplx_0 X2)) = (k6_xcmplx_0 X2 X1)False)v1_xcmplx_0 X2v1_xcmplx_0 X1False)(∀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)(∀X2 X1, ((k2_xcmplx_0 X1 (k4_xcmplx_0 X2)) = (k6_xcmplx_0 X1 X2)False)v1_xcmplx_0 X2v1_xcmplx_0 X1False)(∀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)(∀X2 X1, (v1_xreal_0 (k7_xcmplx_0 X1 X2)False)v1_xreal_0 X2v1_xreal_0 X1False)(∀X2 X1, (v1_xreal_0 (k6_xcmplx_0 X1 X2)False)v1_xreal_0 X2v1_xreal_0 X1False)(∀X2 X1, (v1_xreal_0 (k2_xcmplx_0 X1 X2)False)v1_xreal_0 X2v1_xreal_0 X1False)(∀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)(∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2)False)r1_tarski X1 X2False)(∀X2 X1, ((k2_xcmplx_0 X1 X2) = (k2_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)(∀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 X2, v1_xboole_0 X2r2_hidden X1 X2False)(∀X1, (v3_xxreal_0 X1False)v1_xreal_0 X1v2_xxreal_0 (k4_xcmplx_0 X1)False)(∀X1, (v2_xxreal_0 X1False)v1_xreal_0 X1v3_xxreal_0 (k4_xcmplx_0 X1)False)(∀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_xreal_0 X1False)m1_subset_1 X1 k1_numbersFalse)(∀X1, (v6_membered X1False)m1_subset_1 X1 k5_numbersFalse)(∀X1, (v3_xxreal_0 X1False)(v1_xcmplx_0 (k4_xcmplx_0 X1)False)v1_xreal_0 X1False)(∀X1, (v2_xxreal_0 X1False)(v1_xcmplx_0 (k4_xcmplx_0 X1)False)v1_xreal_0 X1False)(∀X1, ((k7_xcmplx_0 X1 np__1) = X1False)v1_xcmplx_0 X1False)(∀X1, (v4_valued_0 X1False)v1_relat_1 X1v1_xboole_0 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)(∀X1, ((k4_xcmplx_0 (k4_xcmplx_0 X1)) = X1False)v1_xcmplx_0 X1False)(∀X1, (v1_xreal_0 (k4_xcmplx_0 X1)False)v1_xreal_0 X1False)(∀X1, (v1_xcmplx_0 (k4_xcmplx_0 X1)False)v1_xreal_0 X1False)(∀X1, (v1_xcmplx_0 (k4_xcmplx_0 X1)False)v1_xcmplx_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, (v1_xreal_0 X1False)v7_ordinal1 X1False)(∀X1, (v3_membered X1False)v4_membered X1False)(∀X1, (v1_xxreal_0 X1False)v1_xreal_0 X1False)(∀X1, (v2_membered X1False)v3_membered X1False)(∀X1, (v1_xcmplx_0 X1False)v1_xreal_0 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)((k7_real_1 (k11_diff_1 esk5_0 esk1_0 esk2_0 esk3_0 esk4_0) (k11_diff_1 esk6_0 esk1_0 esk2_0 esk3_0 esk4_0)) = (k11_diff_1 (k3_valued_1 k1_numbers k1_numbers k1_numbers esk5_0 esk6_0) esk1_0 esk2_0 esk3_0 esk4_0)False)(v1_finset_1 k3_numbersFalse)(v1_finset_1 k4_numbersFalse)(v1_finset_1 k1_numbersFalse)(v1_xboole_0 esk18_0False)(v1_xboole_0 esk17_0False)(v1_xboole_0 esk15_0False)(v1_xboole_0 esk14_0False)(v1_xboole_0 esk10_0False)(v1_xboole_0 np__1False)(v1_xboole_0 k3_numbersFalse)(v1_xboole_0 k4_numbersFalse)(v1_xboole_0 k1_numbersFalse)(∀X2 X1, (m1_subset_1 (esk11_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)False)(∀X2 X1, (m1_subset_1 (esk9_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)False)(∀X2 X1, (v1_funct_2 (esk9_2 X1 X2) X1 X2False)False)((m1_subset_1 esk6_0 (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_numbers))False)False)((m1_subset_1 esk5_0 (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_numbers))False)False)((m2_subset_1 np__1 k1_numbers k5_numbersFalse)False)((v1_funct_2 esk6_0 k1_numbers k1_numbersFalse)False)((v1_funct_2 esk5_0 k1_numbers k1_numbersFalse)False)(∀X1 X2, (v4_relat_1 (esk11_2 X1 X2) X1False)False)(∀X1 X2, (v4_relat_1 (esk9_2 X1 X2) X1False)False)(∀X2 X1, (v5_relat_1 (esk11_2 X1 X2) X2False)False)(∀X2 X1, (v5_relat_1 (esk9_2 X1 X2) X2False)False)(∀X1 X2, (v1_xboole_0 (esk11_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk11_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk9_2 X1 X2)False)False)(∀X1 X2, (v1_funct_1 (esk9_2 X1 X2)False)False)(∀X1, (v4_relat_1 (esk22_1 X1) X1False)False)(∀X1, (v4_relat_1 (esk21_1 X1) X1False)False)(∀X1, (v1_partfun1 (esk22_1 X1) X1False)False)(∀X1, (v1_partfun1 (esk21_1 X1) X1False)False)(∀X1, (m1_subset_1 (esk7_1 X1) X1False)False)(∀X1, (v5_relat_1 (esk21_1 X1) k3_numbersFalse)False)(((k7_xcmplx_0 np__1 (k4_xcmplx_0 np__1)) = (k4_xcmplx_0 np__1)False)False)((m1_subset_1 k5_numbers (k1_zfmisc_1 k1_numbers)False)False)(∀X1, (r1_tarski X1 X1False)False)((v4_relat_1 esk18_0 k5_numbersFalse)False)((v4_relat_1 esk15_0 k5_numbersFalse)False)((m1_subset_1 esk4_0 k1_numbersFalse)False)((m1_subset_1 esk3_0 k1_numbersFalse)False)((m1_subset_1 esk2_0 k1_numbersFalse)False)((m1_subset_1 esk1_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)(((k7_xcmplx_0 np__1 np__1) = np__1False)False)(∀X1, (v4_valued_0 (esk22_1 X1)False)False)(∀X1, (v4_valued_0 (esk21_1 X1)False)False)(∀X1, (v3_valued_0 (esk21_1 X1)False)False)(∀X1, (v2_valued_0 (esk21_1 X1)False)False)(∀X1, (v1_valued_0 (esk21_1 X1)False)False)(∀X1, (v1_relat_1 (esk22_1 X1)False)False)(∀X1, (v1_relat_1 (esk21_1 X1)False)False)(∀X1, (v1_funct_1 (esk22_1 X1)False)False)(∀X1, (v1_funct_1 (esk21_1 X1)False)False)(((k4_xcmplx_0 (k4_xcmplx_0 np__1)) = np__1False)False)((v1_finset_1 esk18_0False)False)((v3_xxreal_0 esk19_0False)False)((v2_xxreal_0 esk16_0False)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_xboole_0 esk20_0False)False)((v4_valued_0 esk12_0False)False)((v4_membered k3_numbersFalse)False)((v1_xreal_0 esk20_0False)False)((v1_xreal_0 esk19_0False)False)((v1_xreal_0 esk16_0False)False)((v1_xreal_0 esk13_0False)False)((v3_membered k1_numbersFalse)False)((v1_xxreal_0 esk20_0False)False)((v1_xxreal_0 esk19_0False)False)((v1_xxreal_0 esk16_0False)False)((v1_xcmplx_0 esk20_0False)False)((v1_xcmplx_0 esk19_0False)False)((v1_xcmplx_0 esk16_0False)False)((v6_membered esk17_0False)False)((v6_membered esk14_0False)False)((v6_membered esk10_0False)False)((v6_membered k4_ordinal1False)False)((v1_relat_1 esk18_0False)False)((v1_relat_1 esk15_0False)False)((v1_relat_1 esk12_0False)False)((v5_membered k4_numbersFalse)False)((v1_funct_1 esk18_0False)False)((v1_funct_1 esk15_0False)False)((v1_funct_1 esk12_0False)False)((v1_funct_1 esk6_0False)False)((v1_funct_1 esk5_0False)False)((k4_ordinal1 = k5_numbersFalse)False)False
Proof:
The rest of the proof is missing.