Theorem. (l63_sin_cos6)
∀v1_xcmplx_0 : set → prop, ∀k3_xcmplx_0 : set → set → set, ∀v1_xxreal_0 : set → prop, ∀r2_hidden : set → set → prop, ∀k1_xxreal_1 : set → set → set, ∀k4_numbers : set, ∀k3_real_1 : set → set → set, ∀v1_funct_1 : set → prop, ∀v3_valued_0 : set → prop, ∀v1_valued_0 : set → prop, ∀v1_int_1 : set → prop, ∀v4_funct_1 : set → prop, ∀v3_membered : set → prop, ∀v1_membered : set → prop, ∀v5_membered : set → prop, ∀v7_ordinal1 : set → prop, ∀v7_valued_0 : set → prop, ∀v5_valued_0 : set → prop, ∀v2_funct_1 : set → prop, ∀np__1 : set, ∀k1_xboole_0 : set, ∀esk29_0 : set, ∀esk20_0 : set, ∀esk18_0 : set, ∀esk9_0 : set, ∀esk5_1 : set → set, ∀esk8_0 : set, ∀esk24_0 : set, ∀esk21_0 : set, ∀esk15_0 : set, ∀esk7_0 : set, ∀esk26_0 : set, ∀o_0_0_xboole_0 : set, ∀esk14_0 : set, ∀esk12_0 : set, ∀esk16_0 : set, ∀esk13_0 : set, ∀esk11_0 : set, ∀esk27_0 : set, ∀esk10_0 : set, ∀k31_sin_cos : set, ∀esk22_0 : set, ∀esk25_0 : set, ∀k4_ordinal1 : set, ∀esk17_0 : set, ∀esk19_0 : set, ∀esk23_0 : set, ∀esk28_0 : set, ∀esk4_0 : set, ∀esk1_0 : set, ∀esk3_0 : set, ∀esk2_0 : set, ∀np__2 : set, ∀k32_sin_cos : set, ∀v7_membered : set → prop, ∀v3_funct_1 : set → prop, ∀k5_numbers : set, ∀v1_zfmisc_1 : set → prop, ∀v6_valued_0 : set → prop, ∀v8_valued_0 : set → prop, ∀v1_rat_1 : set → prop, ∀v6_membered : set → prop, ∀v2_membered : set → prop, ∀v4_membered : set → prop, ∀v2_rcomp_1 : set → prop, ∀r1_tarski : set → set → prop, ∀v2_valued_0 : set → prop, ∀v4_valued_0 : set → prop, ∀k1_rcomp_1 : set → set → set, ∀k8_real_1 : set → set → set, ∀k7_real_1 : set → set → set, ∀k1_numbers : set, ∀v2_xxreal_0 : set → prop, ∀v3_xxreal_0 : set → prop, ∀v1_relat_1 : set → prop, ∀v5_relat_1 : set → set → prop, ∀k3_numbers : set, ∀esk6_2 : set → set → set, ∀v1_xreal_0 : set → prop, ∀k2_xcmplx_0 : set → set → set, ∀r1_xxreal_0 : set → set → prop, ∀m2_subset_1 : set → set → set → prop, ∀k1_zfmisc_1 : set → set, ∀m1_subset_1 : set → set → prop, ∀v1_xboole_0 : set → prop, (∀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) → (∀X2 X1 X3, (r1_xxreal_0 X1 X3 → False) → v1_xreal_0 X3 → v1_xreal_0 X2 → v1_xreal_0 X1 → r1_xxreal_0 (k2_xcmplx_0 X1 X2) (k2_xcmplx_0 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 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m2_subset_1 (esk6_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) → (∀X2 X1 X3, (r1_xxreal_0 (k2_xcmplx_0 X1 X3) (k2_xcmplx_0 X2 X3) → False) → v1_xreal_0 X3 → v1_xreal_0 X2 → v1_xreal_0 X1 → r1_xxreal_0 X1 X2 → False) → (∀X2 X1 X3, (r2_hidden X2 (k1_xxreal_1 X1 X3) → False) → v1_xxreal_0 X3 → v1_xxreal_0 X2 → v1_xxreal_0 X1 → r1_xxreal_0 X2 X3 → r1_xxreal_0 X1 X2 → 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) → (∀X3 X1 X2, (r1_xxreal_0 X1 X2 → False) → v1_xxreal_0 X3 → v1_xxreal_0 X2 → v1_xxreal_0 X1 → r2_hidden X1 (k1_xxreal_1 X3 X2) → False) → (∀X3 X1 X2, (r1_xxreal_0 X1 X2 → False) → v1_xxreal_0 X3 → v1_xxreal_0 X2 → v1_xxreal_0 X1 → r2_hidden X2 (k1_xxreal_1 X1 X3) → 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, (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, (v2_xxreal_0 X1 → False) → (v3_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k3_xcmplx_0 X1 X2) → False) → (∀X2 X1, (v2_xxreal_0 X1 → False) → (v3_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k3_xcmplx_0 X2 X1) → 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) → (∀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, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → v1_xboole_0 (k3_xcmplx_0 X1 X2) → False) → (∀X2 X1 X3, (m1_subset_1 X1 X3 → False) → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → 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) → (∀X1 X2, (m1_subset_1 (k3_real_1 X1 X2) k1_numbers → False) → v1_xreal_0 X1 → m1_subset_1 X2 k1_numbers → False) → (∀X2 X1, (m1_subset_1 (k8_real_1 X1 X2) k1_numbers → False) → v1_xreal_0 X2 → m1_subset_1 X1 k1_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_rcomp_1 X1 X2) (k1_zfmisc_1 k1_numbers) → False) → v1_xreal_0 X2 → v1_xreal_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, (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) → (∀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, ((k8_real_1 X1 X2) = (k3_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X1 X2, ((k3_real_1 X1 X2) = (k2_xcmplx_0 X1 X2) → False) → v1_xreal_0 X1 → m1_subset_1 X2 k1_numbers → False) → (∀X1 X2, ((k3_real_1 X1 X2) = (k3_real_1 X2 X1) → False) → v1_xreal_0 X1 → m1_subset_1 X2 k1_numbers → False) → (∀X2 X1, ((k8_real_1 X1 X2) = (k8_real_1 X2 X1) → False) → v1_xreal_0 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X1 X2, (v1_funct_1 X2 → False) → v1_relat_1 X1 → v1_funct_1 X1 → m1_subset_1 X2 (k1_zfmisc_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, (v1_xboole_0 X1 → False) → (v2_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → r1_xxreal_0 X1 X2 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v2_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → r1_xxreal_0 X1 X2 → False) → (∀X2 X1, (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 X2 → r1_xxreal_0 X1 X2 → False) → (∀X2 X1, (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 X2 → r1_xxreal_0 X1 X2 → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 X1 → r1_xxreal_0 X1 X2 → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 X1 → r1_xxreal_0 X1 X2 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X1, r2_hidden X2 X1 → r2_hidden X1 X2 → False) → (∀X2 X1, (v2_rcomp_1 (k1_xxreal_1 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, (v1_xcmplx_0 (k3_xcmplx_0 X1 X2) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, (v1_xcmplx_0 (k2_xcmplx_0 X1 X2) → False) → v1_xcmplx_0 X2 → v1_xcmplx_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) → (∀X2 X1, (v1_int_1 (k3_xcmplx_0 X1 X2) → False) → v1_int_1 X2 → v1_int_1 X1 → False) → (∀X2 X1, (v1_int_1 (k2_xcmplx_0 X1 X2) → False) → v1_int_1 X2 → v1_int_1 X1 → False) → (∀X1 X2, (v4_funct_1 X2 → False) → v4_funct_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 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, (r1_xxreal_0 X2 X1 → False) → (r1_xxreal_0 X1 X2 → False) → v1_xxreal_0 X2 → v1_xxreal_0 X1 → False) → (∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → r1_tarski X1 X2 → False) → (∀X2 X1, ((k1_xxreal_1 X1 X2) = (k1_rcomp_1 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) → (∀X2 X1, (v2_xxreal_0 X1 → False) → (v3_xxreal_0 X2 → False) → (r1_xxreal_0 X1 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, (v2_xxreal_0 X1 → False) → (v3_xxreal_0 X2 → False) → (r1_xxreal_0 X1 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X2 X1, (v1_funct_1 X1 → False) → v4_funct_1 X2 → m1_subset_1 X1 X2 → False) → (∀X1 X2, (v7_ordinal1 X2 → False) → v6_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) → (∀X2 X1, (v1_relat_1 X1 → False) → v4_funct_1 X2 → m1_subset_1 X1 X2 → False) → (∀X1 X2, (v1_xreal_0 X2 → False) → v3_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, (v8_valued_0 X1 → False) → v1_relat_1 X1 → v2_valued_0 X1 → v1_funct_1 X1 → v6_valued_0 X1 → False) → (∀X1, (v7_valued_0 X1 → False) → v1_relat_1 X1 → v2_valued_0 X1 → v1_funct_1 X1 → v5_valued_0 X1 → False) → (∀X1, (v6_valued_0 X1 → False) → v1_relat_1 X1 → v2_valued_0 X1 → v1_funct_1 X1 → v1_zfmisc_1 X1 → False) → (∀X1, (v5_valued_0 X1 → False) → v1_relat_1 X1 → v2_valued_0 X1 → v1_funct_1 X1 → v1_zfmisc_1 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 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X2 X1, (r1_xxreal_0 X1 X1 → False) → v1_xxreal_0 X2 → v1_xxreal_0 X1 → 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, (v3_funct_1 X1 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v1_zfmisc_1 X1 → False) → (∀X1, (v3_funct_1 X1 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v1_zfmisc_1 X1 → False) → (∀X1, (v3_funct_1 X1 → False) → v1_relat_1 X1 → v1_xboole_0 X1 → v1_funct_1 X1 → False) → (∀X1, (v2_funct_1 X1 → False) → v1_relat_1 X1 → v1_xboole_0 X1 → v1_funct_1 X1 → False) → (∀X1, (v1_xcmplx_0 X1 → False) → m1_subset_1 X1 k1_numbers → 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, (v1_int_1 X1 → False) → m1_subset_1 X1 k4_numbers → False) → (∀X1, v1_xxreal_0 X1 → v2_xxreal_0 X1 → v3_xxreal_0 X1 → False) → (∀X1, v1_xxreal_0 X1 → v2_xxreal_0 X1 → v3_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_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_xboole_0 X1 → False) → (v2_xxreal_0 X1 → False) → (v3_xxreal_0 X1 → False) → v1_xxreal_0 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v2_xxreal_0 X1 → False) → (v3_xxreal_0 X1 → False) → v1_xxreal_0 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v2_xxreal_0 X1 → False) → (v3_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) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, (v4_funct_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v7_membered X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_funct_1 X1 → False) → v1_xboole_0 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) → v7_ordinal1 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, (v1_xreal_0 X1 → False) → v1_int_1 X1 → False) → (∀X1, (v1_int_1 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (r2_hidden (k3_real_1 esk2_0 (k8_real_1 np__2 k32_sin_cos)) (k1_rcomp_1 (k3_real_1 esk3_0 (k8_real_1 (k8_real_1 np__2 k32_sin_cos) (k3_real_1 esk1_0 np__1))) (k3_real_1 esk4_0 (k8_real_1 (k8_real_1 np__2 k32_sin_cos) (k3_real_1 esk1_0 np__1)))) → False) → (r1_xxreal_0 np__2 np__1 → False) → (v3_funct_1 esk28_0 → False) → (v1_xboole_0 esk29_0 → False) → (v1_xboole_0 esk23_0 → False) → (v1_xboole_0 esk20_0 → False) → (v1_xboole_0 esk19_0 → False) → (v1_xboole_0 esk18_0 → False) → (v1_xboole_0 esk17_0 → False) → (v1_xboole_0 esk9_0 → False) → (v1_xboole_0 np__1 → False) → (v1_xboole_0 np__2 → False) → ((r2_hidden esk2_0 (k1_rcomp_1 (k3_real_1 esk3_0 (k8_real_1 (k8_real_1 np__2 k32_sin_cos) esk1_0)) (k3_real_1 esk4_0 (k8_real_1 (k8_real_1 np__2 k32_sin_cos) esk1_0))) → False) → False) → ((m2_subset_1 np__1 k1_numbers k5_numbers → False) → False) → ((m2_subset_1 np__2 k1_numbers k5_numbers → False) → False) → (∀X1, (m1_subset_1 (esk5_1 X1) X1 → False) → False) → ((m1_subset_1 k5_numbers (k1_zfmisc_1 k1_numbers) → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → ((r1_xxreal_0 np__1 np__1 → False) → False) → ((r1_xxreal_0 np__1 np__2 → False) → False) → ((r1_xxreal_0 np__2 np__2 → False) → False) → ((v5_relat_1 esk18_0 k3_numbers → False) → False) → ((v5_relat_1 esk18_0 k4_numbers → False) → False) → ((m1_subset_1 esk8_0 k1_numbers → False) → False) → ((m1_subset_1 k1_xboole_0 k4_ordinal1 → False) → False) → ((m1_subset_1 np__1 k1_numbers → False) → False) → ((m1_subset_1 np__1 k5_numbers → False) → False) → ((m1_subset_1 k32_sin_cos k1_numbers → False) → False) → ((m1_subset_1 np__2 k1_numbers → False) → False) → ((m1_subset_1 np__2 k5_numbers → False) → False) → (((k3_xcmplx_0 np__1 np__1) = np__1 → False) → False) → (((k3_xcmplx_0 np__1 np__2) = np__2 → False) → False) → (((k3_xcmplx_0 np__2 np__1) = np__2 → False) → False) → (((k2_xcmplx_0 np__1 np__1) = np__2 → False) → False) → ((v4_funct_1 esk29_0 → False) → False) → ((v3_funct_1 esk18_0 → False) → False) → ((v3_xxreal_0 esk25_0 → False) → False) → ((v3_xxreal_0 esk24_0 → False) → False) → ((v2_xxreal_0 esk22_0 → False) → False) → ((v2_xxreal_0 esk21_0 → False) → False) → ((v2_xxreal_0 k31_sin_cos → False) → False) → ((v2_xxreal_0 np__1 → False) → False) → ((v2_xxreal_0 np__2 → False) → False) → ((v2_funct_1 esk15_0 → False) → False) → ((v7_membered esk23_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) → ((v1_funct_1 esk28_0 → False) → False) → ((v1_funct_1 esk18_0 → False) → False) → ((v1_funct_1 esk15_0 → False) → False) → ((v1_funct_1 esk10_0 → False) → False) → ((v1_funct_1 esk7_0 → False) → False) → ((v1_xboole_0 esk27_0 → False) → False) → ((v1_xboole_0 esk26_0 → False) → False) → ((v1_xboole_0 esk11_0 → False) → False) → ((v1_xboole_0 o_0_0_xboole_0 → False) → False) → ((v1_xboole_0 k1_xboole_0 → False) → False) → ((v4_valued_0 esk18_0 → False) → False) → ((v4_valued_0 esk10_0 → False) → False) → ((v4_membered k3_numbers → False) → False) → ((v3_membered k1_numbers → False) → False) → ((v1_xxreal_0 esk27_0 → False) → False) → ((v1_xxreal_0 esk26_0 → False) → False) → ((v1_xxreal_0 esk25_0 → False) → False) → ((v1_xxreal_0 esk24_0 → False) → False) → ((v1_xxreal_0 esk22_0 → False) → False) → ((v1_xxreal_0 esk21_0 → False) → False) → ((v1_xxreal_0 esk14_0 → False) → False) → ((v1_xxreal_0 esk8_0 → False) → False) → ((v1_xcmplx_0 esk26_0 → False) → False) → ((v1_xcmplx_0 esk24_0 → False) → False) → ((v1_xcmplx_0 esk21_0 → False) → False) → ((v1_xcmplx_0 esk20_0 → False) → False) → ((v1_xcmplx_0 esk12_0 → False) → False) → ((v1_xcmplx_0 esk8_0 → False) → False) → ((v6_membered esk23_0 → False) → False) → ((v6_membered esk17_0 → False) → False) → ((v6_membered esk9_0 → False) → False) → ((v6_membered k4_ordinal1 → False) → False) → ((v1_relat_1 esk28_0 → False) → False) → ((v1_relat_1 esk18_0 → False) → False) → ((v1_relat_1 esk15_0 → False) → False) → ((v1_relat_1 esk10_0 → False) → False) → ((v1_relat_1 esk7_0 → False) → False) → ((v5_membered k4_numbers → False) → False) → ((v1_xreal_0 esk26_0 → False) → False) → ((v1_xreal_0 esk24_0 → False) → False) → ((v1_xreal_0 esk21_0 → False) → False) → ((v1_xreal_0 esk13_0 → False) → False) → ((v1_xreal_0 esk8_0 → False) → False) → ((v1_xreal_0 esk4_0 → False) → False) → ((v1_xreal_0 esk3_0 → False) → False) → ((v1_xreal_0 esk2_0 → False) → False) → ((v1_xreal_0 k31_sin_cos → False) → False) → ((v1_xreal_0 k31_sin_cos → False) → False) → ((v1_int_1 esk16_0 → False) → False) → ((v1_int_1 esk8_0 → False) → False) → ((v1_int_1 esk1_0 → False) → False) → ((k5_numbers = k4_ordinal1 → False) → False) → ((k32_sin_cos = k31_sin_cos → False) → False) → ((o_0_0_xboole_0 = k1_xboole_0 → False) → False) → False
In Proofgold the corresponding term root is b9700e... and proposition id is e627b9...
Proof:
The rest of the proof is missing.