Theorem. (t22_sin_cos8)
∀esk5_2 : setsetset, ∀v3_xxreal_0 : setprop, ∀r2_hidden : setsetprop, ∀r1_tarski : setsetprop, ∀v5_membered : setprop, ∀v3_membered : setprop, ∀v1_membered : setprop, ∀v1_int_1 : setprop, ∀v1_xxreal_0 : setprop, ∀k5_numbers : set, ∀np__1 : set, ∀v3_ordinal1 : setprop, ∀np__4 : set, ∀esk3_0 : set, ∀esk1_0 : set, ∀esk2_0 : set, ∀esk12_0 : set, ∀esk10_0 : set, ∀esk4_1 : setset, ∀esk14_0 : set, ∀esk16_0 : set, ∀esk18_0 : set, ∀esk8_0 : set, ∀esk9_0 : set, ∀esk7_0 : set, ∀esk19_0 : set, ∀esk17_0 : set, ∀esk13_0 : set, ∀k4_ordinal1 : set, ∀np__0 : set, ∀esk6_0 : set, ∀esk11_0 : set, ∀esk15_0 : set, ∀k1_xboole_0 : set, ∀v7_membered : setprop, ∀k1_numbers : set, ∀v1_rat_1 : setprop, ∀v6_membered : setprop, ∀v2_membered : setprop, ∀v4_membered : setprop, ∀v7_ordinal1 : setprop, ∀k4_xcmplx_0 : setset, ∀v2_xxreal_0 : setprop, ∀v1_xcmplx_0 : setprop, ∀m2_subset_1 : setsetsetprop, ∀k1_zfmisc_1 : setset, ∀m1_subset_1 : setsetprop, ∀v1_xboole_0 : setprop, ∀k9_sin_cos2 : setset, ∀k6_xcmplx_0 : setsetset, ∀k3_sin_cos2 : setset, ∀k7_xcmplx_0 : setsetset, ∀np__2 : set, ∀k2_xcmplx_0 : setsetset, ∀k6_sin_cos2 : setset, ∀k3_xcmplx_0 : setsetset, ∀v1_xreal_0 : setprop, (∀X2 X1, ((k3_xcmplx_0 (k3_xcmplx_0 np__2 (k3_sin_cos2 (k6_xcmplx_0 (k7_xcmplx_0 X1 np__2) (k7_xcmplx_0 X2 np__2)))) (k6_sin_cos2 (k2_xcmplx_0 (k7_xcmplx_0 X1 np__2) (k7_xcmplx_0 X2 np__2)))) = (k6_xcmplx_0 (k3_sin_cos2 X1) (k3_sin_cos2 X2))False)v1_xreal_0 X2v1_xreal_0 X1False)(∀X2 X1, ((k3_xcmplx_0 (k3_xcmplx_0 np__2 (k3_sin_cos2 (k6_xcmplx_0 (k7_xcmplx_0 X1 np__2) (k7_xcmplx_0 X2 np__2)))) (k3_sin_cos2 (k2_xcmplx_0 (k7_xcmplx_0 X1 np__2) (k7_xcmplx_0 X2 np__2)))) = (k6_xcmplx_0 (k6_sin_cos2 X1) (k6_sin_cos2 X2))False)v1_xreal_0 X2v1_xreal_0 X1False)(∀X2 X1, ((k3_xcmplx_0 (k3_xcmplx_0 np__2 (k3_sin_cos2 (k2_xcmplx_0 (k7_xcmplx_0 X1 np__2) (k7_xcmplx_0 X2 np__2)))) (k6_sin_cos2 (k6_xcmplx_0 (k7_xcmplx_0 X1 np__2) (k7_xcmplx_0 X2 np__2)))) = (k2_xcmplx_0 (k3_sin_cos2 X1) (k3_sin_cos2 X2))False)v1_xreal_0 X2v1_xreal_0 X1False)(∀X2 X1, ((k3_xcmplx_0 (k3_xcmplx_0 np__2 (k6_sin_cos2 (k2_xcmplx_0 (k7_xcmplx_0 X1 np__2) (k7_xcmplx_0 X2 np__2)))) (k6_sin_cos2 (k6_xcmplx_0 (k7_xcmplx_0 X1 np__2) (k7_xcmplx_0 X2 np__2)))) = (k2_xcmplx_0 (k6_sin_cos2 X1) (k6_sin_cos2 X2))False)v1_xreal_0 X2v1_xreal_0 X1False)(∀X2 X1, ((k7_xcmplx_0 (k3_sin_cos2 (k6_xcmplx_0 X1 X2)) (k3_xcmplx_0 (k6_sin_cos2 X1) (k6_sin_cos2 X2))) = (k6_xcmplx_0 (k9_sin_cos2 X1) (k9_sin_cos2 X2))False)v1_xreal_0 X2v1_xreal_0 X1False)(∀X2 X1, ((k7_xcmplx_0 (k3_sin_cos2 (k2_xcmplx_0 X1 X2)) (k3_xcmplx_0 (k6_sin_cos2 X1) (k6_sin_cos2 X2))) = (k2_xcmplx_0 (k9_sin_cos2 X1) (k9_sin_cos2 X2))False)v1_xreal_0 X2v1_xreal_0 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)(∀X1 X2 X3, ((k2_xcmplx_0 (k3_xcmplx_0 X1 X3) (k3_xcmplx_0 X2 X3)) = (k3_xcmplx_0 (k2_xcmplx_0 X1 X2) X3)False)v1_xcmplx_0 X3v1_xcmplx_0 X2v1_xcmplx_0 X1False)(∀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)(∀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 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)(∀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, (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 X1v3_xxreal_0 (k3_xcmplx_0 X1 X2)False)(∀X2 X1, (v3_xxreal_0 X1False)(v2_xxreal_0 X2False)v1_xreal_0 X2v1_xreal_0 X1v2_xxreal_0 (k7_xcmplx_0 X1 X2)False)(∀X2 X1, (v3_xxreal_0 X1False)(v2_xxreal_0 X2False)v1_xreal_0 X2v1_xreal_0 X1v2_xxreal_0 (k7_xcmplx_0 X2 X1)False)(∀X2 X1, (v3_xxreal_0 X1False)(v2_xxreal_0 X2False)v1_xreal_0 X2v1_xreal_0 X1v2_xxreal_0 (k6_xcmplx_0 X2 X1)False)(∀X2 X1, (v3_xxreal_0 X1False)(v2_xxreal_0 X2False)v1_xreal_0 X2v1_xreal_0 X1v3_xxreal_0 (k6_xcmplx_0 X1 X2)False)(∀X1 X2, (v3_xxreal_0 X2False)(v2_xxreal_0 X1False)v1_xreal_0 X2v1_xreal_0 X1v2_xxreal_0 (k3_xcmplx_0 X1 X2)False)(∀X1 X2, (v3_xxreal_0 X2False)(v2_xxreal_0 X1False)v1_xreal_0 X2v1_xreal_0 X1v2_xxreal_0 (k3_xcmplx_0 X2 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, (v3_xxreal_0 X2False)(v3_xxreal_0 X1False)v1_xreal_0 X2v1_xreal_0 X1v3_xxreal_0 (k3_xcmplx_0 X1 X2)False)(∀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)(∀X1 X2, (v1_xboole_0 X2False)v7_ordinal1 X2v7_ordinal1 X1v1_xboole_0 (k2_xcmplx_0 X1 X2)False)(∀X1 X2, (v1_xboole_0 X2False)v7_ordinal1 X2v7_ordinal1 X1v1_xboole_0 (k2_xcmplx_0 X2 X1)False)(∀X2 X1 X3, v1_xboole_0 X3r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀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)(∀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, (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, (v3_xxreal_0 X2False)(v3_xxreal_0 (k6_xcmplx_0 X1 X2)False)v1_xreal_0 X2v1_xreal_0 X1v3_xxreal_0 X1False)(∀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, ((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, r2_hidden X2 X1r2_hidden X1 X2False)(∀X2 X1, (v7_ordinal1 (k2_xcmplx_0 X1 X2)False)v7_ordinal1 X2v7_ordinal1 X1False)(∀X2 X1, (v7_ordinal1 (k3_xcmplx_0 X1 X2)False)v7_ordinal1 X2v7_ordinal1 X1False)(∀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)(∀X2 X1, (v1_xreal_0 (k3_xcmplx_0 X1 X2)False)v1_xreal_0 X2v1_xreal_0 X1False)(∀X1 X2, (v5_membered X2False)v5_membered X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀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)(∀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)(∀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)(∀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_xxreal_0 X2False)v2_membered X1m1_subset_1 X2 X1False)(∀X1 X2, (v1_xcmplx_0 X2False)v1_membered X1m1_subset_1 X2 X1False)(∀X1 X2, (v1_xreal_0 X2False)v3_membered X1m1_subset_1 X2 X1False)(∀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 X2, v1_xboole_0 X2r2_hidden X1 X2False)(∀X1, (v2_xxreal_0 X1False)v1_xreal_0 X1v3_xxreal_0 (k4_xcmplx_0 X1)False)(∀X1, (v3_xxreal_0 X1False)v1_xreal_0 X1v2_xxreal_0 (k4_xcmplx_0 X1)False)(∀X1, ((k3_xcmplx_0 X1 (k4_xcmplx_0 np__1)) = (k4_xcmplx_0 X1)False)v1_xcmplx_0 X1False)(∀X1, v3_xxreal_0 X1m1_subset_1 X1 k5_numbersFalse)(∀X1, (v6_membered X1False)m1_subset_1 X1 k5_numbersFalse)(∀X1, (v1_xreal_0 X1False)m1_subset_1 X1 k1_numbersFalse)(∀X1, (v2_xxreal_0 X1False)(v1_xcmplx_0 (k4_xcmplx_0 X1)False)v1_xreal_0 X1False)(∀X1, (v3_xxreal_0 X1False)(v1_xcmplx_0 (k4_xcmplx_0 X1)False)v1_xreal_0 X1False)(∀X1, v1_xxreal_0 X1v3_xxreal_0 X1v2_xxreal_0 X1False)(∀X1, v1_xxreal_0 X1v3_xxreal_0 X1v2_xxreal_0 X1False)(∀X1, v1_xxreal_0 X1v1_xboole_0 X1v2_xxreal_0 X1False)(∀X1, v1_xxreal_0 X1v1_xboole_0 X1v2_xxreal_0 X1False)(∀X1, v1_xxreal_0 X1v1_xboole_0 X1v3_xxreal_0 X1False)(∀X1, v1_xxreal_0 X1v1_xboole_0 X1v3_xxreal_0 X1False)(∀X1, (v1_xboole_0 X1False)(v3_xxreal_0 X1False)(v2_xxreal_0 X1False)v1_xxreal_0 X1False)(∀X1, (v1_xboole_0 X1False)(v3_xxreal_0 X1False)(v2_xxreal_0 X1False)v1_xxreal_0 X1False)(∀X1, (v1_xboole_0 X1False)(v3_xxreal_0 X1False)(v2_xxreal_0 X1False)v1_xxreal_0 X1False)(∀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, ((k4_xcmplx_0 (k4_xcmplx_0 X1)) = X1False)v1_xcmplx_0 X1False)(∀X1, (v1_xcmplx_0 (k4_xcmplx_0 X1)False)v1_xcmplx_0 X1False)(∀X1, (v1_xcmplx_0 (k4_xcmplx_0 X1)False)v1_xreal_0 X1False)(∀X1, (v1_xreal_0 (k4_xcmplx_0 X1)False)v1_xreal_0 X1False)(∀X2 X1, (X1 = X2False)v1_xboole_0 X2v1_xboole_0 X1False)(∀X1, v7_ordinal1 X1v3_xxreal_0 X1False)(∀X1, (v7_membered X1False)v1_xboole_0 X1False)(∀X1, (v3_ordinal1 X1False)v7_ordinal1 X1False)(∀X1, (v5_membered X1False)v6_membered X1False)(∀X1, (v4_membered X1False)v5_membered X1False)(∀X1, (v3_membered X1False)v4_membered X1False)(∀X1, (v1_xxreal_0 X1False)v7_ordinal1 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, (v1_xreal_0 X1False)v7_ordinal1 X1False)(∀X1, (X1 = k1_xboole_0False)v1_xboole_0 X1False)((k2_xcmplx_0 (k2_xcmplx_0 (k2_xcmplx_0 (k6_sin_cos2 (k3_xcmplx_0 np__2 esk1_0)) (k6_sin_cos2 (k3_xcmplx_0 np__2 esk2_0))) (k6_sin_cos2 (k3_xcmplx_0 np__2 esk3_0))) (k6_sin_cos2 (k3_xcmplx_0 np__2 (k2_xcmplx_0 (k2_xcmplx_0 esk1_0 esk2_0) esk3_0)))) = (k3_xcmplx_0 (k3_xcmplx_0 (k3_xcmplx_0 np__4 (k6_sin_cos2 (k2_xcmplx_0 esk2_0 esk3_0))) (k6_sin_cos2 (k2_xcmplx_0 esk3_0 esk1_0))) (k6_sin_cos2 (k2_xcmplx_0 esk1_0 esk2_0)))False)(v1_xboole_0 esk15_0False)(v1_xboole_0 esk12_0False)(v1_xboole_0 esk11_0False)(v1_xboole_0 esk10_0False)(v1_xboole_0 esk6_0False)(v1_xboole_0 np__1False)(v1_xboole_0 np__4False)(v1_xboole_0 np__2False)(((k6_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__4)) = (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__4)False)False)(((k2_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__4) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__4)) = (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)False)False)(((k6_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__4) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = (k7_xcmplx_0 np__1 np__4)False)False)(((k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = (k7_xcmplx_0 np__1 np__4)False)False)(((k6_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__4) (k7_xcmplx_0 np__1 np__4)) = (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) (k7_xcmplx_0 np__1 np__2)) = (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__4)False)False)(((k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__4)False)False)(((k6_xcmplx_0 (k7_xcmplx_0 np__1 np__4) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__4)) = (k7_xcmplx_0 np__1 np__2)False)False)(((k6_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__4) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__4)) = np__0False)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 np__1 np__4) (k7_xcmplx_0 np__1 np__2)) = (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__4)False)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)(((k6_xcmplx_0 (k7_xcmplx_0 np__1 np__2) (k7_xcmplx_0 np__1 np__4)) = (k7_xcmplx_0 np__1 np__4)False)False)(((k2_xcmplx_0 (k7_xcmplx_0 np__1 np__4) (k7_xcmplx_0 np__1 np__4)) = (k7_xcmplx_0 np__1 np__2)False)False)(((k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) (k7_xcmplx_0 np__1 np__2)) = (k7_xcmplx_0 np__1 np__4)False)False)(((k2_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__4) (k7_xcmplx_0 np__1 np__4)) = np__0False)False)(((k2_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) (k7_xcmplx_0 np__1 np__2)) = np__0False)False)(((k6_xcmplx_0 (k7_xcmplx_0 np__1 np__2) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = np__1False)False)(((k2_xcmplx_0 (k7_xcmplx_0 np__1 np__4) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__4)) = np__0False)False)(((k2_xcmplx_0 (k7_xcmplx_0 np__1 np__2) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = np__0False)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)(((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)(((k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__4) (k4_xcmplx_0 np__2)) = (k7_xcmplx_0 np__1 np__2)False)False)(((k3_xcmplx_0 (k4_xcmplx_0 np__2) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__4)) = (k7_xcmplx_0 np__1 np__2)False)False)(((k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__4) np__1) = (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__4)False)False)(((k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__4) np__2) = (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)(((k3_xcmplx_0 np__2 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__4)) = (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)False)False)(((k6_xcmplx_0 (k7_xcmplx_0 np__1 np__4) (k7_xcmplx_0 np__1 np__4)) = np__0False)False)(((k6_xcmplx_0 (k7_xcmplx_0 np__1 np__2) (k7_xcmplx_0 np__1 np__2)) = np__0False)False)(((k2_xcmplx_0 (k7_xcmplx_0 np__1 np__2) (k7_xcmplx_0 np__1 np__2)) = np__1False)False)(((k2_xcmplx_0 (k7_xcmplx_0 np__1 np__2) (k4_xcmplx_0 np__1)) = (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)False)False)(((k3_xcmplx_0 (k7_xcmplx_0 np__1 np__4) (k4_xcmplx_0 np__2)) = (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)False)False)(((k2_xcmplx_0 (k4_xcmplx_0 np__1) (k7_xcmplx_0 np__1 np__2)) = (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)False)False)(((k3_xcmplx_0 (k4_xcmplx_0 np__2) (k7_xcmplx_0 np__1 np__4)) = (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)False)False)(((k2_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) np__1) = (k7_xcmplx_0 np__1 np__2)False)False)(((k6_xcmplx_0 np__0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__4)) = (k7_xcmplx_0 np__1 np__4)False)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)(((k2_xcmplx_0 np__1 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = (k7_xcmplx_0 np__1 np__2)False)False)((m2_subset_1 np__1 k1_numbers k5_numbersFalse)False)((m2_subset_1 np__0 k1_numbers k5_numbersFalse)False)((m2_subset_1 np__4 k1_numbers k5_numbersFalse)False)((m2_subset_1 np__2 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__4)) = (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__4)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)(((k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__4) (k4_xcmplx_0 np__4)) = np__1False)False)(((k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) (k4_xcmplx_0 np__4)) = np__2False)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__4) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__4)) = np__1False)False)(((k3_xcmplx_0 (k4_xcmplx_0 np__4) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = np__2False)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__4) np__4) = (k4_xcmplx_0 np__1)False)False)(((k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) np__4) = (k4_xcmplx_0 np__2)False)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__4)) = (k4_xcmplx_0 np__4)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__4 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__4)) = (k4_xcmplx_0 np__1)False)False)(((k3_xcmplx_0 np__4 (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__4)) = (k7_xcmplx_0 np__1 np__4)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__4) np__1) = (k7_xcmplx_0 np__1 np__4)False)False)(((k3_xcmplx_0 (k7_xcmplx_0 np__1 np__4) np__2) = (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__4)) = (k7_xcmplx_0 np__1 np__4)False)False)(((k3_xcmplx_0 np__1 (k7_xcmplx_0 np__1 np__2)) = (k7_xcmplx_0 np__1 np__2)False)False)(((k3_xcmplx_0 np__2 (k7_xcmplx_0 np__1 np__4)) = (k7_xcmplx_0 np__1 np__2)False)False)(((k3_xcmplx_0 (k7_xcmplx_0 np__1 np__4) (k4_xcmplx_0 np__4)) = (k4_xcmplx_0 np__1)False)False)(((k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) (k4_xcmplx_0 np__4)) = (k4_xcmplx_0 np__2)False)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__4) (k7_xcmplx_0 np__1 np__4)) = (k4_xcmplx_0 np__1)False)False)(((k3_xcmplx_0 (k4_xcmplx_0 np__4) (k7_xcmplx_0 np__1 np__2)) = (k4_xcmplx_0 np__2)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__4)) = (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__4)False)False)(((k4_xcmplx_0 (k7_xcmplx_0 np__1 np__2)) = (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)False)False)(((k3_xcmplx_0 (k7_xcmplx_0 np__1 np__4) np__4) = np__1False)False)(((k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) np__0) = np__0False)False)(((k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) np__4) = np__2False)False)(((k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) np__2) = np__1False)False)(((k7_xcmplx_0 np__1 (k7_xcmplx_0 np__1 np__2)) = np__2False)False)(((k3_xcmplx_0 np__0 (k7_xcmplx_0 np__1 np__2)) = np__0False)False)(((k3_xcmplx_0 np__4 (k7_xcmplx_0 np__1 np__4)) = np__1False)False)(((k3_xcmplx_0 np__4 (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)(((k7_xcmplx_0 (k4_xcmplx_0 np__1) np__4) = (k7_xcmplx_0 np__1 (k4_xcmplx_0 np__4))False)False)(((k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) = (k7_xcmplx_0 np__1 (k4_xcmplx_0 np__2))False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__4) (k4_xcmplx_0 np__2)) = (k4_xcmplx_0 np__2)False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__2) (k4_xcmplx_0 np__1)) = (k4_xcmplx_0 np__1)False)False)(((k2_xcmplx_0 (k4_xcmplx_0 np__1) (k4_xcmplx_0 np__1)) = (k4_xcmplx_0 np__2)False)False)(((k2_xcmplx_0 (k4_xcmplx_0 np__2) (k4_xcmplx_0 np__2)) = (k4_xcmplx_0 np__4)False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__1) (k4_xcmplx_0 np__1)) = 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__4) (k4_xcmplx_0 np__4)) = np__0False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__2) (k4_xcmplx_0 np__4)) = np__2False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__2) (k4_xcmplx_0 np__2)) = np__0False)False)(((k3_xcmplx_0 (k4_xcmplx_0 np__2) (k4_xcmplx_0 np__2)) = np__4False)False)(∀X1, (m1_subset_1 (esk4_1 X1) X1False)False)(∀X1, (m1_subset_1 (k9_sin_cos2 X1) k1_numbersFalse)False)(∀X1, (m1_subset_1 (k3_sin_cos2 X1) k1_numbersFalse)False)(∀X1, (m1_subset_1 (k6_sin_cos2 X1) k1_numbersFalse)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__1) np__1) = (k4_xcmplx_0 np__2)False)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__2) np__2) = (k4_xcmplx_0 np__4)False)False)(((k2_xcmplx_0 (k4_xcmplx_0 np__1) np__0) = (k4_xcmplx_0 np__1)False)False)(((k2_xcmplx_0 (k4_xcmplx_0 np__4) np__2) = (k4_xcmplx_0 np__2)False)False)(((k3_xcmplx_0 (k4_xcmplx_0 np__4) np__1) = (k4_xcmplx_0 np__4)False)False)(((k3_xcmplx_0 (k4_xcmplx_0 np__2) np__1) = (k4_xcmplx_0 np__2)False)False)(((k3_xcmplx_0 (k4_xcmplx_0 np__2) np__2) = (k4_xcmplx_0 np__4)False)False)(((k7_xcmplx_0 np__1 (k4_xcmplx_0 np__1)) = (k4_xcmplx_0 np__1)False)False)(((k2_xcmplx_0 np__1 (k4_xcmplx_0 np__2)) = (k4_xcmplx_0 np__1)False)False)(((k2_xcmplx_0 np__0 (k4_xcmplx_0 np__1)) = (k4_xcmplx_0 np__1)False)False)(((k2_xcmplx_0 np__2 (k4_xcmplx_0 np__4)) = (k4_xcmplx_0 np__2)False)False)(((k3_xcmplx_0 np__1 (k4_xcmplx_0 np__2)) = (k4_xcmplx_0 np__2)False)False)(((k3_xcmplx_0 np__2 (k4_xcmplx_0 np__2)) = (k4_xcmplx_0 np__4)False)False)((m1_subset_1 esk11_0 (k1_zfmisc_1 k1_numbers)False)False)((m1_subset_1 k5_numbers (k1_zfmisc_1 k1_numbers)False)False)(((k2_xcmplx_0 (k4_xcmplx_0 np__1) np__1) = np__0False)False)(((k2_xcmplx_0 (k4_xcmplx_0 np__1) np__2) = np__1False)False)(((k2_xcmplx_0 (k4_xcmplx_0 np__4) np__4) = np__0False)False)(((k2_xcmplx_0 (k4_xcmplx_0 np__2) np__4) = np__2False)False)(((k2_xcmplx_0 (k4_xcmplx_0 np__2) np__2) = np__0False)False)(((k6_xcmplx_0 np__1 (k4_xcmplx_0 np__1)) = np__2False)False)(((k6_xcmplx_0 np__0 (k4_xcmplx_0 np__1)) = np__1False)False)(((k6_xcmplx_0 np__0 (k4_xcmplx_0 np__4)) = np__4False)False)(((k6_xcmplx_0 np__0 (k4_xcmplx_0 np__2)) = np__2False)False)(((k6_xcmplx_0 np__2 (k4_xcmplx_0 np__2)) = np__4False)False)(((k2_xcmplx_0 np__1 (k4_xcmplx_0 np__1)) = np__0False)False)(((k2_xcmplx_0 np__4 (k4_xcmplx_0 np__4)) = np__0False)False)(((k2_xcmplx_0 np__4 (k4_xcmplx_0 np__2)) = np__2False)False)(((k2_xcmplx_0 np__2 (k4_xcmplx_0 np__1)) = np__1False)False)(((k2_xcmplx_0 np__2 (k4_xcmplx_0 np__2)) = np__0False)False)(∀X1, (r1_tarski X1 X1False)False)(((k6_xcmplx_0 np__1 np__2) = (k4_xcmplx_0 np__1)False)False)(((k6_xcmplx_0 np__0 np__1) = (k4_xcmplx_0 np__1)False)False)(((k6_xcmplx_0 np__0 np__4) = (k4_xcmplx_0 np__4)False)False)(((k6_xcmplx_0 np__0 np__2) = (k4_xcmplx_0 np__2)False)False)(((k6_xcmplx_0 np__2 np__4) = (k4_xcmplx_0 np__2)False)False)((m1_subset_1 np__1 k1_numbersFalse)False)((m1_subset_1 np__1 k5_numbersFalse)False)((m1_subset_1 np__0 k1_numbersFalse)False)((m1_subset_1 np__0 k5_numbersFalse)False)((m1_subset_1 k1_xboole_0 k4_ordinal1False)False)((m1_subset_1 np__4 k1_numbersFalse)False)((m1_subset_1 np__4 k5_numbersFalse)False)((m1_subset_1 np__2 k1_numbersFalse)False)((m1_subset_1 np__2 k5_numbersFalse)False)(((k7_xcmplx_0 np__1 np__1) = np__1False)False)(((k7_xcmplx_0 np__4 np__4) = np__1False)False)(((k7_xcmplx_0 np__2 np__2) = np__1False)False)(((k6_xcmplx_0 np__1 np__1) = np__0False)False)(((k6_xcmplx_0 np__1 np__0) = np__1False)False)(((k6_xcmplx_0 np__4 np__0) = np__4False)False)(((k6_xcmplx_0 np__4 np__4) = np__0False)False)(((k6_xcmplx_0 np__4 np__2) = np__2False)False)(((k6_xcmplx_0 np__2 np__1) = np__1False)False)(((k6_xcmplx_0 np__2 np__0) = np__2False)False)(((k6_xcmplx_0 np__2 np__2) = np__0False)False)(((k2_xcmplx_0 np__1 np__1) = np__2False)False)(((k2_xcmplx_0 np__1 np__0) = np__1False)False)(((k2_xcmplx_0 np__0 np__1) = np__1False)False)(((k2_xcmplx_0 np__0 np__0) = np__0False)False)(((k2_xcmplx_0 np__0 np__2) = np__2False)False)(((k2_xcmplx_0 np__2 np__0) = np__2False)False)(((k2_xcmplx_0 np__2 np__2) = np__4False)False)(((k3_xcmplx_0 np__1 np__1) = np__1False)False)(((k3_xcmplx_0 np__1 np__0) = np__0False)False)(((k3_xcmplx_0 np__1 np__4) = np__4False)False)(((k3_xcmplx_0 np__1 np__2) = np__2False)False)(((k3_xcmplx_0 np__0 np__1) = np__0False)False)(((k3_xcmplx_0 np__0 np__0) = np__0False)False)(((k3_xcmplx_0 np__0 np__4) = np__0False)False)(((k3_xcmplx_0 np__0 np__2) = np__0False)False)(((k3_xcmplx_0 np__4 np__1) = np__4False)False)(((k3_xcmplx_0 np__4 np__0) = np__0False)False)(((k3_xcmplx_0 np__2 np__1) = np__2False)False)(((k3_xcmplx_0 np__2 np__0) = np__0False)False)(((k3_xcmplx_0 np__2 np__2) = np__4False)False)(((k4_xcmplx_0 (k4_xcmplx_0 np__1)) = np__1False)False)(((k4_xcmplx_0 (k4_xcmplx_0 np__4)) = np__4False)False)(((k4_xcmplx_0 (k4_xcmplx_0 np__2)) = np__2False)False)((v2_xxreal_0 esk14_0False)False)((v2_xxreal_0 esk13_0False)False)((v2_xxreal_0 np__1False)False)((v2_xxreal_0 np__4False)False)((v2_xxreal_0 np__2False)False)((v3_xxreal_0 esk17_0False)False)((v3_xxreal_0 esk16_0False)False)((v7_membered esk15_0False)False)((v7_membered k4_ordinal1False)False)((v7_membered k1_numbersFalse)False)((v3_ordinal1 esk11_0False)False)((v1_xboole_0 esk19_0False)False)((v1_xboole_0 esk18_0False)False)((v1_xboole_0 esk7_0False)False)((v1_xboole_0 np__0False)False)((v1_xboole_0 k1_xboole_0False)False)((v3_membered k1_numbersFalse)False)((v1_xxreal_0 esk19_0False)False)((v1_xxreal_0 esk18_0False)False)((v1_xxreal_0 esk17_0False)False)((v1_xxreal_0 esk16_0False)False)((v1_xxreal_0 esk14_0False)False)((v1_xxreal_0 esk13_0False)False)((v1_xxreal_0 esk9_0False)False)((v1_xcmplx_0 esk18_0False)False)((v1_xcmplx_0 esk16_0False)False)((v1_xcmplx_0 esk13_0False)False)((v6_membered esk15_0False)False)((v6_membered esk10_0False)False)((v6_membered esk6_0False)False)((v6_membered k4_ordinal1False)False)((v1_xreal_0 esk18_0False)False)((v1_xreal_0 esk16_0False)False)((v1_xreal_0 esk13_0False)False)((v1_xreal_0 esk8_0False)False)((v1_xreal_0 esk3_0False)False)((v1_xreal_0 esk2_0False)False)((v1_xreal_0 esk1_0False)False)(((k4_xcmplx_0 np__0) = np__0False)False)((k4_ordinal1 = k5_numbersFalse)False)False
Proof:
The rest of the proof is missing.