Theorem. (t6_sin_cos8)
∀v1_xreal_0 : set → prop, ∀k5_numbers : set, ∀m1_subset_1 : set → set → prop, ∀k11_binop_2 : set → set → set, ∀k2_newton : set → set → set, ∀k7_real_1 : set → set → set, ∀k4_numbers : set, ∀v5_membered : set → prop, ∀v4_valued_0 : set → prop, ∀v6_membered : set → prop, ∀v2_valued_0 : set → prop, ∀v2_membered : set → prop, ∀esk4_2 : set → set → set, ∀v1_relat_1 : set → prop, ∀v3_xxreal_0 : set → prop, ∀r2_hidden : set → set → prop, ∀v1_rat_1 : set → prop, ∀k1_real_1 : set → set, ∀k7_sin_cos2 : set, ∀k7_binop_2 : set → set, ∀v1_xxreal_0 : set → prop, ∀np__1 : set, ∀k3_sin_cos5 : set → set, ∀v7_membered : set → prop, ∀k1_xboole_0 : set, ∀esk13_0 : set, ∀esk11_0 : set, ∀v1_funct_2 : set → set → set → prop, ∀esk7_0 : set, ∀esk15_0 : set, ∀esk17_0 : set, ∀esk19_0 : set, ∀esk10_0 : set, ∀esk9_0 : set, ∀esk8_0 : set, ∀esk20_0 : set, ∀esk18_0 : set, ∀esk14_0 : set, ∀k4_ordinal1 : set, ∀esk3_1 : set → set, ∀esk6_2 : set → set → set, ∀esk5_0 : set, ∀esk12_0 : set, ∀esk16_0 : set, ∀v3_ordinal1 : set → prop, ∀k2_sin_cos5 : set → set, ∀k1_sin_cos5 : set → set, ∀k9_sin_cos2 : set → set, ∀r1_tarski : set → set → prop, ∀v1_funct_1 : set → prop, ∀v1_int_1 : set → prop, ∀k1_funct_1 : set → set → set, ∀k1_numbers : set, ∀v7_ordinal1 : set → prop, ∀k4_xcmplx_0 : set → set, ∀v2_xxreal_0 : set → prop, ∀v1_membered : set → prop, ∀v1_valued_0 : set → prop, ∀v3_membered : set → prop, ∀v3_valued_0 : set → prop, ∀v1_xcmplx_0 : set → prop, ∀v4_relat_1 : set → set → prop, ∀v4_membered : set → prop, ∀k2_zfmisc_1 : set → set → set, ∀v5_relat_1 : set → set → prop, ∀k3_numbers : set, ∀m2_subset_1 : set → set → set → prop, ∀k1_zfmisc_1 : set → set, ∀v1_xboole_0 : set → prop, ∀k2_xcmplx_0 : set → set → set, ∀esk2_0 : set, ∀esk1_0 : set, ∀k1_sin_cos2 : set, ∀k1_seq_1 : set → set → set, ∀k4_sin_cos2 : set, ∀k6_xcmplx_0 : set → set → set, ∀k1_newton : set → set → set, ∀k3_xcmplx_0 : set → set → set, ((k2_xcmplx_0 (k1_seq_1 k4_sin_cos2 (k3_xcmplx_0 esk2_0 esk1_0)) (k1_seq_1 k1_sin_cos2 (k3_xcmplx_0 esk2_0 esk1_0))) = (k1_newton (k2_xcmplx_0 (k1_seq_1 k4_sin_cos2 esk1_0) (k1_seq_1 k1_sin_cos2 esk1_0)) esk2_0) → (k6_xcmplx_0 (k1_seq_1 k4_sin_cos2 (k3_xcmplx_0 esk2_0 esk1_0)) (k1_seq_1 k1_sin_cos2 (k3_xcmplx_0 esk2_0 esk1_0))) = (k1_newton (k6_xcmplx_0 (k1_seq_1 k4_sin_cos2 esk1_0) (k1_seq_1 k1_sin_cos2 esk1_0)) esk2_0) → False) → (∀X1 X2, ((k7_real_1 (k1_seq_1 k4_sin_cos2 (k11_binop_2 X2 X1)) (k1_seq_1 k1_sin_cos2 (k11_binop_2 X2 X1))) = (k2_newton (k7_real_1 (k1_seq_1 k4_sin_cos2 X1) (k1_seq_1 k1_sin_cos2 X1)) X2) → False) → v1_xreal_0 X1 → m1_subset_1 X2 k5_numbers → False) → (∀X1 X3 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m1_subset_1 X3 X1 → False) → m2_subset_1 X3 X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1 X3, (v1_xboole_0 X3 → False) → (v1_xboole_0 X2 → False) → (m1_subset_1 X1 X3 → False) → m2_subset_1 X1 X2 X3 → m1_subset_1 X3 (k1_zfmisc_1 X2) → False) → (∀X1 X3 X2, (v5_relat_1 X2 k3_numbers → False) → v4_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X1 X3 X2, (v5_relat_1 X2 k4_numbers → False) → v5_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X3 X1 X2, (v4_relat_1 X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X3 X1 X2, (v5_relat_1 X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 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 X3 → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X3 X2, (v1_xboole_0 X2 → False) → v1_xboole_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → False) → (∀X1 X3 X2, (v1_xboole_0 X2 → False) → v1_xboole_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X1 X3 X2, (v4_valued_0 X2 → False) → v6_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X1 X3 X2, (v3_valued_0 X2 → False) → v3_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X1 X3 X2, (v2_valued_0 X2 → False) → v2_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X1 X3 X2, (v1_valued_0 X2 → False) → v1_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m2_subset_1 (esk4_2 X1 X2) X1 X2 → False) → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1 X3, (v1_xboole_0 X3 → False) → (v1_xboole_0 X2 → False) → (m2_subset_1 X1 X3 X2 → False) → m1_subset_1 X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X3 X2 X1, (v1_relat_1 X1 → False) → 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 X3 → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → 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 X3 → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X2, (v5_relat_1 X2 k3_numbers → False) → v1_relat_1 X1 → v5_relat_1 X1 k3_numbers → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v5_relat_1 X2 k4_numbers → False) → v1_relat_1 X1 → v5_relat_1 X1 k4_numbers → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v2_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k2_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v2_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 (k3_xcmplx_0 X1 X2) → False) → (∀X2 X1, (v3_xxreal_0 X1 → False) → (v2_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k6_xcmplx_0 X2 X1) → False) → (∀X2 X1, (v3_xxreal_0 X1 → False) → (v2_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 (k6_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v2_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k3_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v2_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k3_xcmplx_0 X2 X1) → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 (k3_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 (k2_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 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1 X3, (m1_subset_1 X1 X3 → False) → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → v7_ordinal1 X2 → v7_ordinal1 X1 → v1_xboole_0 (k2_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → v7_ordinal1 X2 → v7_ordinal1 X1 → v1_xboole_0 (k2_xcmplx_0 X2 X1) → False) → (∀X2 X1, (m1_subset_1 (k2_newton X1 X2) k1_numbers → False) → v7_ordinal1 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, (m1_subset_1 (k7_real_1 X1 X2) k1_numbers → False) → v1_xreal_0 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, (v1_int_1 (k1_funct_1 X1 X2) → False) → v1_relat_1 X1 → v1_funct_1 X1 → v5_relat_1 X1 k4_numbers → False) → (∀X2 X1, (v1_rat_1 (k1_funct_1 X1 X2) → False) → v1_relat_1 X1 → v1_funct_1 X1 → v5_relat_1 X1 k3_numbers → False) → (∀X2 X1 X3, v1_xboole_0 X3 → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X2 X1, (m1_subset_1 (k1_seq_1 X1 X2) k1_numbers → False) → v1_relat_1 X1 → v3_valued_0 X1 → v1_funct_1 X1 → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v2_xxreal_0 (k6_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 X1 → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v3_xxreal_0 (k6_xcmplx_0 X2 X1) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 X1 → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v3_xxreal_0 (k2_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 X1 → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v3_xxreal_0 (k2_xcmplx_0 X2 X1) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 X1 → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v2_xxreal_0 (k6_xcmplx_0 X2 X1) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 X1 → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v2_xxreal_0 (k2_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 X1 → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v2_xxreal_0 (k2_xcmplx_0 X2 X1) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 X1 → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v3_xxreal_0 (k6_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 X1 → False) → (∀X2 X1, ((k1_newton X1 X2) = (k2_newton X1 X2) → False) → v7_ordinal1 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, ((k7_real_1 X1 X2) = (k7_real_1 X2 X1) → False) → v1_xreal_0 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, ((k7_real_1 X1 X2) = (k2_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, ((k6_xcmplx_0 (k4_xcmplx_0 X1) (k4_xcmplx_0 X2)) = (k6_xcmplx_0 X2 X1) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, (m1_subset_1 (k11_binop_2 X1 X2) k1_numbers → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X1, ((k1_real_1 (k1_seq_1 k7_sin_cos2 X1)) = (k1_seq_1 k7_sin_cos2 (k7_binop_2 X1)) → False) → v1_xreal_0 X1 → False) → (∀X1, ((k1_real_1 (k1_seq_1 k1_sin_cos2 X1)) = (k1_seq_1 k1_sin_cos2 (k7_binop_2 X1)) → False) → v1_xreal_0 X1 → False) → (∀X1, ((k4_xcmplx_0 (k1_seq_1 k1_sin_cos2 X1)) = (k1_seq_1 k1_sin_cos2 (k4_xcmplx_0 X1)) → False) → v1_xreal_0 X1 → False) → (∀X2 X1, (v7_ordinal1 (k1_funct_1 X1 X2) → False) → v1_relat_1 X1 → v4_valued_0 X1 → v1_funct_1 X1 → False) → (∀X2 X1, (v1_xxreal_0 (k1_funct_1 X1 X2) → False) → v1_relat_1 X1 → v2_valued_0 X1 → v1_funct_1 X1 → False) → (∀X2 X1, (v1_xcmplx_0 (k1_funct_1 X1 X2) → False) → v1_relat_1 X1 → v1_valued_0 X1 → v1_funct_1 X1 → False) → (∀X2 X1, (v1_xreal_0 (k1_funct_1 X1 X2) → False) → v1_relat_1 X1 → v3_valued_0 X1 → v1_funct_1 X1 → False) → (∀X1 X2, (v4_valued_0 X2 → False) → v1_relat_1 X1 → v4_valued_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v3_valued_0 X2 → False) → v1_relat_1 X1 → v3_valued_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v2_valued_0 X2 → False) → v1_relat_1 X1 → v2_valued_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_valued_0 X2 → False) → v1_relat_1 X1 → v1_valued_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, ((k1_funct_1 X1 X2) = (k1_seq_1 X1 X2) → False) → v1_relat_1 X1 → v3_valued_0 X1 → v1_funct_1 X1 → False) → (∀X2 X1, ((k2_xcmplx_0 X1 (k4_xcmplx_0 X2)) = (k6_xcmplx_0 X1 X2) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X1, (v5_relat_1 (k2_zfmisc_1 X2 X1) k3_numbers → False) → v4_membered X1 → False) → (∀X2 X1, (v5_relat_1 (k2_zfmisc_1 X2 X1) k4_numbers → False) → v5_membered X1 → False) → (∀X2 X1, r2_hidden X2 X1 → r2_hidden X1 X2 → False) → (∀X2 X1, (v7_ordinal1 (k3_xcmplx_0 X1 X2) → False) → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X2 X1, (v7_ordinal1 (k2_xcmplx_0 X1 X2) → False) → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X2 X1, (v1_xreal_0 (k6_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, (v1_xreal_0 (k3_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, (v1_xreal_0 (k2_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X1 X2, (v4_membered X2 → False) → v4_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v3_membered X2 → False) → v3_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v2_membered X2 → False) → v2_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_membered X2 → False) → v1_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v6_membered X2 → False) → v6_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v5_membered X2 → False) → v5_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → r1_tarski X1 X2 → False) → (∀X2 X1, ((k11_binop_2 X1 X2) = (k11_binop_2 X2 X1) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, ((k11_binop_2 X1 X2) = (k3_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, ((k3_xcmplx_0 X1 X2) = (k3_xcmplx_0 X2 X1) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, ((k2_xcmplx_0 X1 X2) = (k2_xcmplx_0 X2 X1) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden X1 X2 → False) → m1_subset_1 X1 X2 → False) → (∀X1, (v5_relat_1 X1 k3_numbers → False) → v1_relat_1 X1 → v5_relat_1 X1 k4_numbers → False) → (∀X1, (m1_subset_1 (k1_real_1 X1) k1_numbers → False) → m1_subset_1 X1 k1_numbers → False) → (∀X1, ((k1_seq_1 k4_sin_cos2 (k7_binop_2 X1)) = (k1_seq_1 k4_sin_cos2 X1) → False) → v1_xreal_0 X1 → False) → (∀X1, ((k1_seq_1 k4_sin_cos2 (k4_xcmplx_0 X1)) = (k1_seq_1 k4_sin_cos2 X1) → False) → v1_xreal_0 X1 → False) → (∀X2 X1, (v4_valued_0 (k2_zfmisc_1 X2 X1) → False) → v6_membered X1 → False) → (∀X2 X1, (v3_valued_0 (k2_zfmisc_1 X2 X1) → False) → v3_membered X1 → False) → (∀X2 X1, (v2_valued_0 (k2_zfmisc_1 X2 X1) → False) → v2_membered X1 → False) → (∀X2 X1, (v1_valued_0 (k2_zfmisc_1 X2 X1) → False) → v1_membered X1 → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X1 X2, (v7_ordinal1 X2 → False) → v6_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_int_1 X2 → False) → v5_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_rat_1 X2 → False) → v4_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_xxreal_0 X2 → False) → v2_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_xcmplx_0 X2 → False) → v1_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_xreal_0 X2 → False) → v3_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1, (v4_valued_0 X1 → False) → v1_relat_1 X1 → v5_relat_1 X1 k5_numbers → False) → (∀X1, (v3_valued_0 X1 → False) → v1_relat_1 X1 → v5_relat_1 X1 k1_numbers → False) → (∀X1, (v3_valued_0 X1 → False) → v1_relat_1 X1 → v5_relat_1 X1 k3_numbers → False) → (∀X1, (v3_valued_0 X1 → False) → v1_relat_1 X1 → v5_relat_1 X1 k4_numbers → False) → (∀X1, (v4_membered X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 k3_numbers) → False) → (∀X1, (v3_membered X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 k1_numbers) → False) → (∀X1, (v6_membered X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 k5_numbers) → False) → (∀X1, (v5_membered X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 k4_numbers) → False) → (∀X1, ((k1_real_1 (k1_real_1 X1)) = X1 → False) → m1_subset_1 X1 k1_numbers → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X1, ((k1_real_1 X1) = (k4_xcmplx_0 X1) → False) → m1_subset_1 X1 k1_numbers → False) → (∀X1, (v2_xxreal_0 X1 → False) → v1_xreal_0 X1 → v3_xxreal_0 (k4_xcmplx_0 X1) → False) → (∀X1, (v3_xxreal_0 X1 → False) → v1_xreal_0 X1 → v2_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 X1 → False) → (∀X1, ((k9_sin_cos2 (k4_xcmplx_0 X1)) = (k4_xcmplx_0 (k9_sin_cos2 X1)) → False) → v1_xreal_0 X1 → False) → (∀X1, ((k3_sin_cos5 (k4_xcmplx_0 X1)) = (k4_xcmplx_0 (k3_sin_cos5 X1)) → False) → v1_xreal_0 X1 → False) → (∀X1, ((k1_sin_cos5 (k4_xcmplx_0 X1)) = (k4_xcmplx_0 (k1_sin_cos5 X1)) → False) → v1_xreal_0 X1 → False) → (∀X1, v3_xxreal_0 X1 → m1_subset_1 X1 k5_numbers → False) → (∀X1, (v5_relat_1 X1 k3_numbers → False) → v1_relat_1 X1 → v4_valued_0 X1 → False) → (∀X1, (v5_relat_1 X1 k4_numbers → False) → v1_relat_1 X1 → v4_valued_0 X1 → False) → (∀X1, (m1_subset_1 (k7_binop_2 X1) k1_numbers → False) → v1_xreal_0 X1 → False) → (∀X1, (m1_subset_1 (k3_sin_cos5 X1) k1_numbers → False) → v1_xreal_0 X1 → False) → (∀X1, (m1_subset_1 (k2_sin_cos5 X1) k1_numbers → False) → v1_xreal_0 X1 → False) → (∀X1, (m1_subset_1 (k1_sin_cos5 X1) k1_numbers → False) → v1_xreal_0 X1 → False) → (∀X1, (v6_membered X1 → False) → m1_subset_1 X1 k5_numbers → False) → (∀X1, (v1_xreal_0 X1 → False) → m1_subset_1 X1 k1_numbers → False) → (∀X1, (v2_xxreal_0 X1 → False) → (v1_xcmplx_0 (k4_xcmplx_0 X1) → False) → v1_xreal_0 X1 → False) → (∀X1, (v3_xxreal_0 X1 → False) → (v1_xcmplx_0 (k4_xcmplx_0 X1) → False) → v1_xreal_0 X1 → False) → (∀X1, ((k2_sin_cos5 (k4_xcmplx_0 X1)) = (k2_sin_cos5 X1) → False) → v1_xreal_0 X1 → False) → (∀X1, v1_xxreal_0 X1 → v3_xxreal_0 X1 → v2_xxreal_0 X1 → False) → (∀X1, v1_xxreal_0 X1 → v3_xxreal_0 X1 → v2_xxreal_0 X1 → False) → (∀X1, v1_xxreal_0 X1 → v1_xboole_0 X1 → v2_xxreal_0 X1 → False) → (∀X1, v1_xxreal_0 X1 → v1_xboole_0 X1 → v2_xxreal_0 X1 → False) → (∀X1, v1_xxreal_0 X1 → v1_xboole_0 X1 → v3_xxreal_0 X1 → False) → (∀X1, v1_xxreal_0 X1 → v1_xboole_0 X1 → v3_xxreal_0 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v3_xxreal_0 X1 → False) → (v2_xxreal_0 X1 → False) → v1_xxreal_0 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v3_xxreal_0 X1 → False) → (v2_xxreal_0 X1 → False) → v1_xxreal_0 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v3_xxreal_0 X1 → False) → (v2_xxreal_0 X1 → False) → v1_xxreal_0 X1 → False) → (∀X1, ((k3_xcmplx_0 np__1 X1) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, (v4_valued_0 X1 → False) → v1_relat_1 X1 → v1_xboole_0 X1 → False) → (∀X1, (v3_valued_0 X1 → False) → v1_relat_1 X1 → v4_valued_0 X1 → False) → (∀X1, (v2_valued_0 X1 → False) → v1_relat_1 X1 → v3_valued_0 X1 → False) → (∀X1, (v1_valued_0 X1 → False) → v1_relat_1 X1 → v3_valued_0 X1 → False) → (∀X1, ((k7_binop_2 (k7_binop_2 X1)) = X1 → False) → v1_xreal_0 X1 → False) → (∀X1, ((k4_xcmplx_0 (k4_xcmplx_0 X1)) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, (v1_xcmplx_0 (k4_xcmplx_0 X1) → False) → v1_xcmplx_0 X1 → False) → (∀X1, (v1_xcmplx_0 (k4_xcmplx_0 X1) → False) → v1_xreal_0 X1 → False) → (∀X1, (v1_xreal_0 (k4_xcmplx_0 X1) → False) → v1_xreal_0 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, ((k7_binop_2 X1) = (k4_xcmplx_0 X1) → False) → v1_xreal_0 X1 → False) → (∀X1, v7_ordinal1 X1 → v3_xxreal_0 X1 → False) → (∀X1, (v7_membered X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v4_membered X1 → False) → v5_membered X1 → False) → (∀X1, (v3_membered X1 → False) → v4_membered X1 → False) → (∀X1, (v1_xxreal_0 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v1_xxreal_0 X1 → False) → v1_xreal_0 X1 → False) → (∀X1, (v2_membered X1 → False) → v3_membered X1 → False) → (∀X1, (v1_xcmplx_0 X1 → False) → v1_xreal_0 X1 → False) → (∀X1, (v1_membered X1 → False) → v3_membered X1 → False) → (∀X1, (v6_membered X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v5_membered X1 → False) → v6_membered X1 → False) → (∀X1, (v1_xreal_0 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (v1_xboole_0 esk16_0 → False) → (v1_xboole_0 esk13_0 → False) → (v1_xboole_0 esk12_0 → False) → (v1_xboole_0 esk11_0 → False) → (v1_xboole_0 esk5_0 → False) → (v1_xboole_0 np__1 → False) → (∀X2 X1, (m1_subset_1 (esk6_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → False) → ((m1_subset_1 k7_sin_cos2 (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_numbers)) → False) → False) → ((m1_subset_1 k4_sin_cos2 (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_numbers)) → False) → False) → ((m1_subset_1 k1_sin_cos2 (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_numbers)) → False) → False) → ((m2_subset_1 np__1 k1_numbers k5_numbers → False) → False) → ((v1_funct_2 k7_sin_cos2 k1_numbers k1_numbers → False) → False) → ((v1_funct_2 k4_sin_cos2 k1_numbers k1_numbers → False) → False) → ((v1_funct_2 k1_sin_cos2 k1_numbers k1_numbers → False) → False) → (∀X1 X2, (v4_relat_1 (esk6_2 X1 X2) X1 → False) → False) → (∀X2 X1, (v5_relat_1 (esk6_2 X1 X2) X2 → False) → False) → (∀X1, (m1_subset_1 (k1_seq_1 k4_sin_cos2 X1) k1_numbers → False) → False) → (∀X1, (m1_subset_1 (k1_seq_1 k1_sin_cos2 X1) k1_numbers → False) → False) → (∀X1 X2, (v1_xboole_0 (esk6_2 X1 X2) → False) → False) → (∀X1 X2, (v1_relat_1 (esk6_2 X1 X2) → False) → False) → (∀X1, (m1_subset_1 (esk3_1 X1) X1 → False) → False) → (∀X1, (m1_subset_1 (k9_sin_cos2 X1) k1_numbers → False) → False) → ((m1_subset_1 esk12_0 (k1_zfmisc_1 k1_numbers) → False) → False) → ((m1_subset_1 k5_numbers (k1_zfmisc_1 k1_numbers) → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → ((m1_subset_1 esk2_0 k5_numbers → False) → False) → ((m1_subset_1 np__1 k1_numbers → False) → False) → ((m1_subset_1 np__1 k5_numbers → False) → False) → ((m1_subset_1 k1_xboole_0 k4_ordinal1 → False) → False) → (((k3_xcmplx_0 np__1 np__1) = np__1 → False) → False) → (((k4_xcmplx_0 (k4_xcmplx_0 np__1)) = np__1 → False) → False) → ((v1_funct_1 esk7_0 → False) → False) → ((v1_funct_1 k7_sin_cos2 → False) → False) → ((v1_funct_1 k4_sin_cos2 → False) → False) → ((v1_funct_1 k1_sin_cos2 → False) → False) → ((v2_xxreal_0 esk15_0 → False) → False) → ((v2_xxreal_0 esk14_0 → False) → False) → ((v2_xxreal_0 np__1 → False) → False) → ((v3_xxreal_0 esk18_0 → False) → False) → ((v3_xxreal_0 esk17_0 → False) → False) → ((v7_membered esk16_0 → False) → False) → ((v7_membered k4_ordinal1 → False) → False) → ((v7_membered k1_numbers → False) → False) → ((v7_membered k3_numbers → False) → False) → ((v7_membered k4_numbers → False) → False) → ((v3_ordinal1 esk12_0 → False) → False) → ((v1_xboole_0 esk20_0 → False) → False) → ((v1_xboole_0 esk19_0 → False) → False) → ((v1_xboole_0 esk8_0 → False) → False) → ((v1_xboole_0 k1_xboole_0 → False) → False) → ((v4_valued_0 esk7_0 → False) → False) → ((v4_membered k3_numbers → False) → False) → ((v3_membered k1_numbers → False) → False) → ((v1_xxreal_0 esk20_0 → False) → False) → ((v1_xxreal_0 esk19_0 → False) → False) → ((v1_xxreal_0 esk18_0 → False) → False) → ((v1_xxreal_0 esk17_0 → False) → False) → ((v1_xxreal_0 esk15_0 → False) → False) → ((v1_xxreal_0 esk14_0 → False) → False) → ((v1_xxreal_0 esk10_0 → False) → False) → ((v1_xcmplx_0 esk19_0 → False) → False) → ((v1_xcmplx_0 esk17_0 → False) → False) → ((v1_xcmplx_0 esk14_0 → False) → False) → ((v6_membered esk16_0 → False) → False) → ((v6_membered esk11_0 → False) → False) → ((v6_membered esk5_0 → False) → False) → ((v6_membered k4_ordinal1 → False) → False) → ((v1_relat_1 esk7_0 → False) → False) → ((v5_membered k4_numbers → False) → False) → ((v1_xreal_0 esk19_0 → False) → False) → ((v1_xreal_0 esk17_0 → False) → False) → ((v1_xreal_0 esk14_0 → False) → False) → ((v1_xreal_0 esk9_0 → False) → False) → ((v1_xreal_0 esk1_0 → False) → False) → ((k4_ordinal1 = k5_numbers → False) → False) → False
In Proofgold the corresponding term root is f368a9... and proposition id is 11c45b...
Proof:
The rest of the proof is missing.