Theorem. (t7_fdiff_7)
∀k8_real_1 : setsetset, ∀m1_subset_1 : setsetprop, ∀k1_zfmisc_1 : setset, ∀k2_zfmisc_1 : setsetset, ∀v1_funct_1 : setprop, ∀k3_relat_1 : setsetset, ∀r2_fdiff_1 : setsetprop, ∀v3_rcomp_1 : setprop, ∀esk15_2 : setsetset, ∀k1_relset_1 : setsetset, ∀r1_tarski : setsetprop, ∀v1_xboole_0 : setprop, ∀m2_subset_1 : setsetsetprop, ∀k3_numbers : set, ∀v5_relat_1 : setsetprop, ∀v4_membered : setprop, ∀v3_valued_0 : setprop, ∀v3_membered : setprop, ∀v1_valued_0 : setprop, ∀v1_membered : setprop, ∀esk14_2 : setsetset, ∀v1_xcmplx_0 : setprop, ∀k3_xcmplx_0 : setsetset, ∀k1_funct_1 : setsetset, ∀v1_int_1 : setprop, ∀k4_xcmplx_0 : setset, ∀k4_xxreal_1 : setsetset, ∀k5_numbers : set, ∀v7_membered : setprop, ∀np__2 : set, ∀np__0 : set, ∀v1_finset_1 : setprop, ∀esk12_0 : set, ∀esk3_1 : setset, ∀v2_xxreal_0 : setprop, ∀esk10_0 : set, ∀esk11_0 : set, ∀k4_ordinal1 : set, ∀esk6_0 : set, ∀esk8_0 : set, ∀esk9_2 : setsetset, ∀esk7_0 : set, ∀esk13_0 : set, ∀k1_xboole_0 : set, ∀k6_square_1 : setset, ∀v7_ordinal1 : setprop, ∀k6_xcmplx_0 : setsetset, ∀k2_rcomp_1 : setsetset, ∀v1_rat_1 : setprop, ∀k7_xcmplx_0 : setsetset, ∀esk4_2 : setsetset, ∀v2_membered : setprop, ∀v2_valued_0 : setprop, ∀v6_membered : setprop, ∀v4_valued_0 : setprop, ∀v4_relat_1 : setsetprop, ∀v5_membered : setprop, ∀k4_numbers : set, ∀k3_square_1 : setset, ∀v1_xreal_0 : setprop, ∀a_2_1_rcomp_1 : setsetset, ∀r2_hidden : setsetprop, ∀esk5_3 : setsetsetset, ∀r1_xxreal_0 : setsetprop, ∀v1_xxreal_0 : setprop, ∀v1_relat_1 : setprop, ∀k9_xtuple_0 : setset, ∀k1_fdiff_1 : setsetset, ∀k7_square_1 : setset, ∀k9_real_1 : setsetset, ∀k1_seq_1 : setsetset, ∀k5_square_1 : setset, ∀np__1 : set, ∀k10_real_1 : setsetset, ∀k1_real_1 : setset, ∀r1_fdiff_1 : setsetprop, ∀k1_partfun1 : setsetsetsetsetsetset, ∀esk2_0 : set, ∀k4_sin_cos6 : set, ∀k1_numbers : set, ∀esk1_0 : set, ((k1_real_1 (k10_real_1 (k1_fdiff_1 esk2_0 esk1_0) (k7_square_1 (k9_real_1 np__1 (k5_square_1 (k1_seq_1 esk2_0 esk1_0)))))) = (k1_fdiff_1 (k1_partfun1 k1_numbers k1_numbers k1_numbers k1_numbers esk2_0 k4_sin_cos6) esk1_0)r1_fdiff_1 (k1_partfun1 k1_numbers k1_numbers k1_numbers k1_numbers esk2_0 k4_sin_cos6) esk1_0False)(∀X1 X3 X2, ((k8_real_1 (k1_fdiff_1 X2 (k1_seq_1 X1 X3)) (k1_fdiff_1 X1 X3)) = (k1_fdiff_1 (k1_partfun1 k1_numbers k1_numbers k1_numbers k1_numbers X1 X2) X3)False)v1_funct_1 X2v1_funct_1 X1r1_fdiff_1 X1 X3m1_subset_1 X3 k1_numbersr1_fdiff_1 X2 (k1_seq_1 X1 X3)m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_numbers))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_numbers))False)(∀X5 X3 X4 X1 X2 X6, (m1_subset_1 (k1_partfun1 X1 X2 X3 X4 X5 X6) (k1_zfmisc_1 (k2_zfmisc_1 X1 X4))False)v1_funct_1 X6v1_funct_1 X5m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4))m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X1 X3 X2, (r1_fdiff_1 (k1_partfun1 k1_numbers k1_numbers k1_numbers k1_numbers X1 X2) X3False)v1_funct_1 X2v1_funct_1 X1r1_fdiff_1 X1 X3m1_subset_1 X3 k1_numbersr1_fdiff_1 X2 (k1_seq_1 X1 X3)m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_numbers))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_numbers))False)(∀X5 X3 X4 X1 X2 X6, (v1_funct_1 (k1_partfun1 X1 X2 X3 X4 X5 X6)False)v1_funct_1 X6v1_funct_1 X5m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4))m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X1 X5 X6 X2 X3 X4, ((k1_partfun1 X2 X3 X5 X6 X1 X4) = (k3_relat_1 X1 X4)False)v1_funct_1 X4v1_funct_1 X1m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X5 X6))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))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, (r2_fdiff_1 X1 X2False)v1_funct_1 X1v3_rcomp_1 X2m1_subset_1 X2 (k1_zfmisc_1 k1_numbers)r1_fdiff_1 X1 (esk15_2 X2 X1)r1_tarski X2 (k1_relset_1 k1_numbers X1)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_numbers))False)(∀X2 X1 X3, v1_xxreal_0 X3v1_xxreal_0 X2r2_hidden X1 (a_2_1_rcomp_1 X2 X3)r1_xxreal_0 (esk5_3 X1 X2 X3) X2False)(∀X1 X2 X3, v1_xxreal_0 X3v1_xxreal_0 X1r2_hidden X2 (a_2_1_rcomp_1 X3 X1)r1_xxreal_0 X1 (esk5_3 X2 X3 X1)False)(∀X1 X2, (r2_fdiff_1 X2 X1False)(r2_hidden (esk15_2 X1 X2) X1False)v1_funct_1 X2v3_rcomp_1 X1m1_subset_1 X1 (k1_zfmisc_1 k1_numbers)r1_tarski X1 (k1_relset_1 k1_numbers X2)m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_numbers))False)(∀X1 X2, (r2_fdiff_1 X2 X1False)(m1_subset_1 (esk15_2 X1 X2) k1_numbersFalse)v1_funct_1 X2v3_rcomp_1 X1m1_subset_1 X1 (k1_zfmisc_1 k1_numbers)r1_tarski X1 (k1_relset_1 k1_numbers X2)m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_numbers))False)(∀X1, ((k1_real_1 (k10_real_1 np__1 (k7_square_1 (k9_real_1 np__1 (k3_square_1 X1))))) = (k1_fdiff_1 k4_sin_cos6 X1)False)(r1_xxreal_0 np__1 X1False)(r1_xxreal_0 X1 (k1_real_1 np__1)False)v1_xreal_0 X1False)(∀X2 X3 X1, (r1_fdiff_1 X3 X1False)v1_funct_1 X3v3_rcomp_1 X2r2_hidden X1 X2r2_fdiff_1 X3 X2m1_subset_1 X1 k1_numbersm1_subset_1 X2 (k1_zfmisc_1 k1_numbers)m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_numbers))False)(∀X2 X1 X3, (m1_subset_1 (esk5_3 X1 X2 X3) k1_numbersFalse)v1_xxreal_0 X3v1_xxreal_0 X2r2_hidden X1 (a_2_1_rcomp_1 X2 X3)False)(∀X1 X2, (r1_tarski X1 (k1_relset_1 k1_numbers X2)False)v1_funct_1 X2v3_rcomp_1 X1r2_fdiff_1 X2 X1m1_subset_1 X1 (k1_zfmisc_1 k1_numbers)m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_numbers))False)(∀X2 X1, (m1_subset_1 (k1_fdiff_1 X1 X2) k1_numbersFalse)v1_funct_1 X1v1_xreal_0 X2m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_numbers))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)(∀X2 X1 X3, ((esk5_3 X1 X2 X3) = X1False)v1_xxreal_0 X3v1_xxreal_0 X2r2_hidden X1 (a_2_1_rcomp_1 X2 X3)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, (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 (esk4_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 X3 X2, r2_hidden X3 X2r2_hidden X1 X2r2_hidden X1 (esk14_2 X3 X2)False)(∀X3 X2 X4 X1, (r1_xxreal_0 X4 X1False)(r1_xxreal_0 X1 X3False)(r2_hidden X2 (a_2_1_rcomp_1 X3 X4)False)X1 = X2v1_xxreal_0 X4v1_xxreal_0 X3m1_subset_1 X1 k1_numbersFalse)(∀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)(∀X1 X2 X3, ((k7_xcmplx_0 (k3_xcmplx_0 X1 X2) X3) = (k3_xcmplx_0 X1 (k7_xcmplx_0 X2 X3))False)v1_xcmplx_0 X3v1_xcmplx_0 X2v1_xcmplx_0 X1False)(∀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 (k3_relat_1 X1 X2) k3_numbersFalse)v1_relat_1 X2v1_relat_1 X1v5_relat_1 X2 k3_numbersFalse)(∀X1 X2, (v5_relat_1 (k3_relat_1 X1 X2) k4_numbersFalse)v1_relat_1 X2v1_relat_1 X1v5_relat_1 X2 k4_numbersFalse)(∀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, (m1_subset_1 (k8_real_1 X1 X2) k1_numbersFalse)v1_xreal_0 X2m1_subset_1 X1 k1_numbersFalse)(∀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, ((k3_xcmplx_0 X1 (k7_xcmplx_0 np__1 X2)) = (k7_xcmplx_0 X1 X2)False)v1_xcmplx_0 X2v1_xcmplx_0 X1False)(∀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)(∀X1 X2, (v1_relat_1 (k3_relat_1 X1 X2)False)v1_relat_1 X2v1_relat_1 X1v5_relat_1 X2 k3_numbersFalse)(∀X1 X2, (v1_relat_1 (k3_relat_1 X1 X2)False)v1_relat_1 X2v1_relat_1 X1v5_relat_1 X2 k4_numbersFalse)(∀X2 X1, (r2_hidden (esk14_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)(∀X2 X1, (m1_subset_1 (k1_seq_1 X1 X2) k1_numbersFalse)v1_funct_1 X1v1_relat_1 X1v3_valued_0 X1False)(∀X2 X1, (m1_subset_1 (k2_rcomp_1 X1 X2) (k1_zfmisc_1 k1_numbers)False)v1_xxreal_0 X2v1_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, ((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, ((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)(∀X1 X2, (v4_valued_0 (k3_relat_1 X1 X2)False)v1_relat_1 X2v1_relat_1 X1v4_valued_0 X2False)(∀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)(∀X1 X2, (v3_valued_0 (k3_relat_1 X1 X2)False)v1_relat_1 X2v1_relat_1 X1v3_valued_0 X2False)(∀X2 X1, (v1_xcmplx_0 (k1_funct_1 X1 X2)False)v1_funct_1 X1v1_relat_1 X1v1_valued_0 X1False)(∀X1 X2, (v2_valued_0 (k3_relat_1 X1 X2)False)v1_relat_1 X2v1_relat_1 X1v2_valued_0 X2False)(∀X1 X2, (v1_valued_0 (k3_relat_1 X1 X2)False)v1_relat_1 X2v1_relat_1 X1v1_valued_0 X2False)(∀X1 X2, (v1_relat_1 (k3_relat_1 X1 X2)False)v1_relat_1 X2v1_relat_1 X1v4_valued_0 X2False)(∀X1 X2, (v1_relat_1 (k3_relat_1 X1 X2)False)v1_relat_1 X2v1_relat_1 X1v3_valued_0 X2False)(∀X1 X2, (v1_relat_1 (k3_relat_1 X1 X2)False)v1_relat_1 X2v1_relat_1 X1v2_valued_0 X2False)(∀X1 X2, (v1_relat_1 (k3_relat_1 X1 X2)False)v1_relat_1 X2v1_relat_1 X1v1_valued_0 X2False)(∀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, (r2_fdiff_1 k4_sin_cos6 (k2_rcomp_1 (k1_real_1 np__1) np__1)False)v1_xreal_0 X1False)(∀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)(∀X2 X1, (v3_rcomp_1 (k4_xxreal_1 X1 X2)False)v1_xreal_0 X2v1_xreal_0 X1False)(∀X2 X1, (v1_int_1 (k6_xcmplx_0 X1 X2)False)v1_int_1 X2v1_int_1 X1False)(∀X2 X1, (v1_int_1 (k3_xcmplx_0 X1 X2)False)v1_int_1 X2v1_int_1 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, (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, ((k4_xxreal_1 X1 X2) = (k2_rcomp_1 X1 X2)False)v1_xxreal_0 X2v1_xxreal_0 X1False)(∀X2 X1, ((a_2_1_rcomp_1 X1 X2) = (k2_rcomp_1 X1 X2)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, (m1_subset_1 (k7_square_1 X1) k1_numbersFalse)m1_subset_1 X1 k1_numbersFalse)(∀X1, (m1_subset_1 (k5_square_1 X1) k1_numbersFalse)m1_subset_1 X1 k1_numbersFalse)(∀X1, (m1_subset_1 (k1_real_1 X1) k1_numbersFalse)m1_subset_1 X1 k1_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, ((k1_real_1 (k1_real_1 X1)) = X1False)m1_subset_1 X1 k1_numbersFalse)(∀X1 X2, v1_xboole_0 X2r2_hidden X1 X2False)(∀X2 X1, (r1_xxreal_0 X1 X1False)v1_xxreal_0 X2v1_xxreal_0 X1False)(∀X1, ((k7_square_1 X1) = (k6_square_1 X1)False)m1_subset_1 X1 k1_numbersFalse)(∀X1, ((k1_real_1 X1) = (k4_xcmplx_0 X1)False)m1_subset_1 X1 k1_numbersFalse)(∀X1, ((k5_square_1 X1) = (k3_square_1 X1)False)m1_subset_1 X1 k1_numbersFalse)(∀X1, ((k3_xcmplx_0 X1 (k4_xcmplx_0 np__1)) = (k4_xcmplx_0 X1)False)v1_xcmplx_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, ((k3_xcmplx_0 X1 X1) = (k3_square_1 X1)False)v1_xcmplx_0 X1False)(∀X1, (v1_int_1 X1False)m1_subset_1 X1 k4_numbersFalse)(∀X1, (v6_membered X1False)m1_subset_1 X1 k5_numbersFalse)(∀X1, ((k3_xcmplx_0 np__1 X1) = X1False)v1_xcmplx_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_int_1 (k4_xcmplx_0 X1)False)v1_int_1 X1False)(∀X1, (v1_xreal_0 (k6_square_1 X1)False)v1_xreal_0 X1False)(∀X1, (v1_xcmplx_0 (k4_xcmplx_0 X1)False)v1_int_1 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, (v1_int_1 X1False)v7_ordinal1 X1False)(∀X1, (v4_membered X1False)v5_membered X1False)(∀X1, (v1_xreal_0 X1False)v1_int_1 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)(r1_xxreal_0 (k7_xcmplx_0 np__1 np__2) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)False)(r1_xxreal_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) (k4_xcmplx_0 np__1)False)(r1_xxreal_0 np__2 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)False)(r1_xxreal_0 np__1 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)False)(r1_xxreal_0 (k7_xcmplx_0 np__1 np__2) (k4_xcmplx_0 np__1)False)(r1_xxreal_0 (k1_seq_1 esk2_0 esk1_0) (k1_real_1 np__1)False)(r1_xxreal_0 (k7_xcmplx_0 np__1 np__2) np__0False)(r1_xxreal_0 np__2 (k7_xcmplx_0 np__1 np__2)False)(r1_xxreal_0 np__1 (k7_xcmplx_0 np__1 np__2)False)(r1_xxreal_0 np__1 (k1_seq_1 esk2_0 esk1_0)False)(r1_xxreal_0 np__2 (k4_xcmplx_0 np__1)False)(r1_xxreal_0 np__0 (k4_xcmplx_0 np__1)False)(r1_xxreal_0 np__1 (k4_xcmplx_0 np__1)False)(r1_xxreal_0 np__2 np__0False)(r1_xxreal_0 np__2 np__1False)(r1_xxreal_0 np__1 np__0False)(v1_finset_1 k3_numbersFalse)(v1_finset_1 k4_numbersFalse)(v1_finset_1 k1_numbersFalse)(v1_xboole_0 esk13_0False)(v1_xboole_0 esk12_0False)(v1_xboole_0 esk7_0False)(v1_xboole_0 np__2False)(v1_xboole_0 k3_numbersFalse)(v1_xboole_0 k4_numbersFalse)(v1_xboole_0 np__1False)(v1_xboole_0 k1_numbersFalse)(∀X2 X1, (m1_subset_1 (esk9_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)False)((r1_xxreal_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)False)False)(((k6_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = np__0False)False)(((k6_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) (k7_xcmplx_0 np__1 np__2)) = (k4_xcmplx_0 np__1)False)False)((r1_xxreal_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) (k7_xcmplx_0 np__1 np__2)False)False)(((k6_xcmplx_0 (k7_xcmplx_0 np__1 np__2) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = np__1False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__1) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)False)False)((m1_subset_1 esk2_0 (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_numbers))False)False)((m1_subset_1 k4_sin_cos6 (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_numbers))False)False)(((k6_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) (k4_xcmplx_0 np__1)) = (k7_xcmplx_0 np__1 np__2)False)False)(((k6_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) np__0) = (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)False)False)(((k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) np__1) = (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)False)False)((r1_xxreal_0 (k7_xcmplx_0 np__1 np__2) (k7_xcmplx_0 np__1 np__2)False)False)(((k6_xcmplx_0 (k7_xcmplx_0 np__1 np__2) (k7_xcmplx_0 np__1 np__2)) = np__0False)False)(((k6_xcmplx_0 np__0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = (k7_xcmplx_0 np__1 np__2)False)False)((m2_subset_1 np__2 k1_numbers k5_numbersFalse)False)((m2_subset_1 np__0 k1_numbers k5_numbersFalse)False)((m2_subset_1 np__1 k1_numbers k5_numbersFalse)False)(((k6_xcmplx_0 (k7_xcmplx_0 np__1 np__2) np__1) = (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)False)False)(((k6_xcmplx_0 np__0 (k7_xcmplx_0 np__1 np__2)) = (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)False)False)((r1_xxreal_0 (k4_xcmplx_0 np__1) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)False)False)(((k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) (k4_xcmplx_0 np__2)) = np__1False)False)(((k3_xcmplx_0 (k4_xcmplx_0 np__2) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = np__1False)False)(((k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) np__2) = (k4_xcmplx_0 np__1)False)False)(((k7_xcmplx_0 np__1 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = (k4_xcmplx_0 np__2)False)False)(((k3_xcmplx_0 np__2 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = (k4_xcmplx_0 np__1)False)False)(((k4_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = (k7_xcmplx_0 np__1 np__2)False)False)(((k6_xcmplx_0 (k7_xcmplx_0 np__1 np__2) np__0) = (k7_xcmplx_0 np__1 np__2)False)False)(((k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) np__1) = (k7_xcmplx_0 np__1 np__2)False)False)(((k6_xcmplx_0 np__1 (k7_xcmplx_0 np__1 np__2)) = (k7_xcmplx_0 np__1 np__2)False)False)(((k3_xcmplx_0 np__1 (k7_xcmplx_0 np__1 np__2)) = (k7_xcmplx_0 np__1 np__2)False)False)((r1_xxreal_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) np__2False)False)((r1_xxreal_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) np__0False)False)((r1_xxreal_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) np__1False)False)(∀X1 X2, (v4_relat_1 (esk9_2 X1 X2) X1False)False)(∀X2 X1, (v5_relat_1 (esk9_2 X1 X2) X2False)False)(((k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) (k4_xcmplx_0 np__2)) = (k4_xcmplx_0 np__1)False)False)(((k3_xcmplx_0 (k4_xcmplx_0 np__2) (k7_xcmplx_0 np__1 np__2)) = (k4_xcmplx_0 np__1)False)False)(((k4_xcmplx_0 (k7_xcmplx_0 np__1 np__2)) = (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)False)False)((r1_xxreal_0 (k4_xcmplx_0 np__1) (k7_xcmplx_0 np__1 np__2)False)False)((r1_xxreal_0 (k7_xcmplx_0 np__1 np__2) np__2False)False)((r1_xxreal_0 (k7_xcmplx_0 np__1 np__2) np__1False)False)((r1_xxreal_0 np__0 (k7_xcmplx_0 np__1 np__2)False)False)(((k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) np__2) = np__1False)False)(((k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) np__0) = np__0False)False)(((k7_xcmplx_0 np__1 (k7_xcmplx_0 np__1 np__2)) = np__2False)False)(((k3_xcmplx_0 np__2 (k7_xcmplx_0 np__1 np__2)) = np__1False)False)(((k3_xcmplx_0 np__0 (k7_xcmplx_0 np__1 np__2)) = np__0False)False)(((k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) = (k7_xcmplx_0 np__1 (k4_xcmplx_0 np__2))False)False)(∀X1 X2, (v1_xboole_0 (esk9_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk9_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (k3_relat_1 X1 X2)False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__2) (k4_xcmplx_0 np__1)) = (k4_xcmplx_0 np__1)False)False)((r1_xxreal_0 (k4_xcmplx_0 np__1) (k4_xcmplx_0 np__1)False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__2) (k4_xcmplx_0 np__2)) = np__0False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__1) (k4_xcmplx_0 np__2)) = np__1False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__1) (k4_xcmplx_0 np__1)) = np__0False)False)(∀X1, (m1_subset_1 (esk3_1 X1) X1False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__1) np__0) = (k4_xcmplx_0 np__1)False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__1) np__1) = (k4_xcmplx_0 np__2)False)False)(((k3_xcmplx_0 (k4_xcmplx_0 np__2) np__1) = (k4_xcmplx_0 np__2)False)False)(((k7_xcmplx_0 np__1 (k4_xcmplx_0 np__1)) = (k4_xcmplx_0 np__1)False)False)(((k3_xcmplx_0 np__1 (k4_xcmplx_0 np__2)) = (k4_xcmplx_0 np__2)False)False)((r1_xxreal_0 (k4_xcmplx_0 np__1) np__2False)False)((r1_xxreal_0 (k4_xcmplx_0 np__1) np__0False)False)((r1_xxreal_0 (k4_xcmplx_0 np__1) np__1False)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)(((k6_xcmplx_0 np__0 (k4_xcmplx_0 np__2)) = np__2False)False)(((k6_xcmplx_0 np__0 (k4_xcmplx_0 np__1)) = np__1False)False)(((k6_xcmplx_0 np__1 (k4_xcmplx_0 np__1)) = np__2False)False)(∀X1, (r1_tarski X1 X1False)False)(((k6_xcmplx_0 np__0 np__2) = (k4_xcmplx_0 np__2)False)False)(((k6_xcmplx_0 np__0 np__1) = (k4_xcmplx_0 np__1)False)False)(((k6_xcmplx_0 np__1 np__2) = (k4_xcmplx_0 np__1)False)False)((r1_xxreal_0 np__2 np__2False)False)((r1_xxreal_0 np__0 np__2False)False)((r1_xxreal_0 np__0 np__0False)False)((r1_xxreal_0 np__0 np__1False)False)((r1_xxreal_0 np__1 np__2False)False)((r1_xxreal_0 np__1 np__1False)False)((r1_fdiff_1 esk2_0 esk1_0False)False)((m1_subset_1 esk6_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__2 k5_numbersFalse)False)((m1_subset_1 np__2 k1_numbersFalse)False)((m1_subset_1 np__0 k5_numbersFalse)False)((m1_subset_1 np__0 k1_numbersFalse)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)(((k6_xcmplx_0 np__2 np__2) = np__0False)False)(((k6_xcmplx_0 np__2 np__0) = np__2False)False)(((k6_xcmplx_0 np__2 np__1) = np__1False)False)(((k6_xcmplx_0 np__1 np__0) = np__1False)False)(((k6_xcmplx_0 np__1 np__1) = np__0False)False)(((k3_xcmplx_0 np__2 np__0) = np__0False)False)(((k3_xcmplx_0 np__2 np__1) = np__2False)False)(((k3_xcmplx_0 np__0 np__2) = np__0False)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__2) = np__2False)False)(((k3_xcmplx_0 np__1 np__0) = np__0False)False)(((k3_xcmplx_0 np__1 np__1) = np__1False)False)(((k4_xcmplx_0 (k4_xcmplx_0 np__2)) = np__2False)False)(((k4_xcmplx_0 (k4_xcmplx_0 np__1)) = np__1False)False)((v2_xxreal_0 np__2False)False)((v2_xxreal_0 np__1False)False)((v3_rcomp_1 esk8_0False)False)((v7_membered esk13_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 np__0False)False)((v1_int_1 esk11_0False)False)((v1_int_1 esk6_0False)False)((v4_valued_0 esk10_0False)False)((v4_membered k3_numbersFalse)False)((v1_xreal_0 esk6_0False)False)((v3_membered esk8_0False)False)((v3_membered k1_numbersFalse)False)((v1_xxreal_0 esk6_0False)False)((v2_membered esk8_0False)False)((v1_xcmplx_0 esk6_0False)False)((v1_membered esk8_0False)False)((v6_membered esk13_0False)False)((v6_membered esk12_0False)False)((v6_membered esk7_0False)False)((v6_membered k4_ordinal1False)False)((v1_relat_1 esk10_0False)False)((v5_membered k4_numbersFalse)False)((v1_funct_1 esk10_0False)False)((v1_funct_1 esk2_0False)False)((v1_funct_1 k4_sin_cos6False)False)(((k4_xcmplx_0 np__0) = np__0False)False)((k4_ordinal1 = k5_numbersFalse)False)False
Proof:
The rest of the proof is missing.