Theorem. (t45_diff_2)
∀v1_relat_1 : set → prop, ∀v1_funct_1 : set → prop, ∀v3_valued_0 : set → prop, ∀k10_real_1 : set → set → set, ∀k1_seq_1 : set → set → set, ∀k9_real_1 : set → set → set, ∀k9_diff_1 : set → set → set → set, ∀v1_partfun1 : set → set → prop, ∀k1_numbers : 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, ∀v3_xxreal_0 : set → prop, ∀k1_funct_1 : set → set → set, ∀v1_int_1 : set → prop, ∀v7_ordinal1 : set → prop, ∀v1_xxreal_0 : set → prop, ∀r1_tarski : set → set → prop, ∀k1_real_1 : set → set, ∀np__1 : set, ∀k16_sin_cos : set, ∀v7_membered : set → prop, ∀k1_xboole_0 : set, ∀v1_finset_1 : set → prop, ∀esk13_0 : set, ∀esk10_0 : set, ∀esk5_2 : set → set → set, ∀esk18_1 : set → set, ∀esk3_1 : set → set, ∀k4_ordinal1 : set, ∀esk15_0 : set, ∀esk8_0 : set, ∀esk16_0 : set, ∀esk9_0 : set, ∀esk12_0 : set, ∀esk17_1 : set → set, ∀esk7_2 : set → set → set, ∀esk6_0 : set, ∀esk11_0 : set, ∀esk14_0 : set, ∀esk1_0 : set, ∀esk2_0 : set, ∀k19_sin_cos : set, ∀k5_numbers : set, ∀k18_sin_cos : set → set, ∀k21_sin_cos : set → set, ∀v1_rat_1 : set → prop, ∀k7_real_1 : set → set → set, ∀k8_real_1 : set → set → set, ∀r2_hidden : set → set → prop, ∀v2_xxreal_0 : set → prop, ∀v1_membered : set → prop, ∀v1_valued_0 : set → prop, ∀v3_membered : set → prop, ∀v1_xcmplx_0 : set → prop, ∀v4_relat_1 : set → set → prop, ∀v4_membered : set → prop, ∀v5_relat_1 : set → set → prop, ∀k3_numbers : set, ∀m2_subset_1 : set → set → set → prop, ∀k2_zfmisc_1 : set → set → set, ∀k1_zfmisc_1 : set → set, ∀m1_subset_1 : set → set → prop, ∀v1_funct_2 : set → set → set → prop, ∀v1_xboole_0 : set → prop, ∀k6_xcmplx_0 : set → set → set, ∀k20_sin_cos : set → set, ∀np__2 : set, ∀k2_xcmplx_0 : set → set → set, ∀k17_sin_cos : set → set, ∀k7_xcmplx_0 : set → set → set, ∀k3_xcmplx_0 : set → set → set, ∀k4_xcmplx_0 : set → set, ∀v1_xreal_0 : set → prop, (∀X2 X1, ((k4_xcmplx_0 (k3_xcmplx_0 np__2 (k3_xcmplx_0 (k17_sin_cos (k7_xcmplx_0 (k2_xcmplx_0 X1 X2) np__2)) (k17_sin_cos (k7_xcmplx_0 (k6_xcmplx_0 X1 X2) np__2))))) = (k6_xcmplx_0 (k20_sin_cos X1) (k20_sin_cos X2)) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X3 X1, ((k10_real_1 (k9_real_1 (k1_seq_1 X1 X2) (k1_seq_1 X1 X3)) (k6_xcmplx_0 X2 X3)) = (k9_diff_1 X1 X2 X3) → False) → v1_relat_1 X1 → v3_valued_0 X1 → v1_xreal_0 X3 → v1_xreal_0 X2 → v1_funct_1 X1 → False) → (∀X2 X1 X3, (v1_xboole_0 X3 → False) → (v1_xboole_0 X2 → False) → v1_xboole_0 X1 → v1_funct_1 X1 → v1_funct_2 X1 X2 X3 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X3 X2 X1, (v1_partfun1 X2 X1 → False) → v1_xboole_0 X1 → v1_funct_2 X2 X1 X3 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → False) → (∀X3 X2 X1, (v1_xboole_0 X1 → False) → (v1_partfun1 X2 X3 → False) → v1_funct_2 X2 X3 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X2 X1, (v1_partfun1 X1 X2 → False) → v1_funct_2 X1 X2 X2 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X2)) → False) → (∀X3 X1 X2, (v1_funct_2 X1 X2 X3 → False) → v1_partfun1 X1 X2 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X2 X3 X1, (m1_subset_1 (k9_diff_1 X1 X2 X3) k1_numbers → False) → v1_relat_1 X1 → v3_valued_0 X1 → v1_xreal_0 X3 → v1_xreal_0 X2 → v1_funct_1 X1 → 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 X3, ((k7_xcmplx_0 (k3_xcmplx_0 X1 X2) X3) = (k3_xcmplx_0 X1 (k7_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, (v3_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 (k7_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 (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) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 (k6_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k7_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k7_xcmplx_0 X2 X1) → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k6_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 (k7_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) → (∀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) → (∀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) → (∀X2 X1, (m1_subset_1 (k9_real_1 X1 X2) k1_numbers → False) → v1_xreal_0 X2 → m1_subset_1 X1 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, (m1_subset_1 (k10_real_1 X1 X2) k1_numbers → False) → v1_xreal_0 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, ((k4_xcmplx_0 (k7_xcmplx_0 X1 X2)) = (k7_xcmplx_0 (k4_xcmplx_0 X1) X2) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → 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, (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) → (∀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, (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, (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) → (∀X2 X1, ((k10_real_1 X1 X2) = (k7_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, ((k9_real_1 X1 X2) = (k6_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) → (∀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) = (k8_real_1 X2 X1) → False) → v1_xreal_0 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, ((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, (v7_ordinal1 (k1_funct_1 X1 X2) → False) → v1_relat_1 X1 → v4_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) → (∀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) → (∀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, (v1_xreal_0 (k7_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 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, ((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 (k21_sin_cos X1) k1_numbers → False) → m1_subset_1 X1 k1_numbers → False) → (∀X1, (m1_subset_1 (k1_real_1 X1) k1_numbers → False) → m1_subset_1 X1 k1_numbers → False) → (∀X1, (m1_subset_1 (k18_sin_cos X1) k1_numbers → False) → m1_subset_1 X1 k1_numbers → 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_xreal_0 X2 → False) → v3_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, (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 k3_numbers → False) → (∀X1, (v3_valued_0 X1 → False) → v1_relat_1 X1 → v5_relat_1 X1 k4_numbers → False) → (∀X1, (v3_valued_0 X1 → False) → v1_relat_1 X1 → v5_relat_1 X1 k1_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, ((k20_sin_cos X1) = (k21_sin_cos X1) → False) → m1_subset_1 X1 k1_numbers → False) → (∀X1, ((k18_sin_cos X1) = (k17_sin_cos X1) → False) → m1_subset_1 X1 k1_numbers → False) → (∀X1, (v3_xxreal_0 X1 → False) → v1_xreal_0 X1 → v2_xxreal_0 (k4_xcmplx_0 X1) → False) → (∀X1, (v2_xxreal_0 X1 → False) → v1_xreal_0 X1 → v3_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, (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, (v1_xreal_0 X1 → False) → m1_subset_1 X1 k1_numbers → False) → (∀X1, (v6_membered X1 → False) → m1_subset_1 X1 k5_numbers → False) → (∀X1, ((k1_seq_1 k19_sin_cos X1) = (k20_sin_cos X1) → False) → v1_xreal_0 X1 → False) → (∀X1, ((k1_seq_1 k16_sin_cos X1) = (k17_sin_cos 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, (v2_xxreal_0 X1 → False) → (v1_xcmplx_0 (k4_xcmplx_0 X1) → False) → v1_xreal_0 X1 → False) → (∀X1, ((k3_xcmplx_0 np__1 X1) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k7_xcmplx_0 X1 np__1) = 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, ((k4_xcmplx_0 (k4_xcmplx_0 X1)) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, (v1_xreal_0 (k4_xcmplx_0 X1) → False) → v1_xreal_0 X1 → False) → (∀X1, (v1_xcmplx_0 (k4_xcmplx_0 X1) → False) → v1_xreal_0 X1 → False) → (∀X1, (v1_xcmplx_0 (k4_xcmplx_0 X1) → False) → v1_xcmplx_0 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, (v7_membered X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v4_membered X1 → False) → v5_membered X1 → False) → (∀X1, (v1_xreal_0 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v3_membered X1 → False) → v4_membered 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, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → ((k1_real_1 (k10_real_1 (k8_real_1 (k8_real_1 np__2 (k18_sin_cos (k10_real_1 (k7_real_1 esk1_0 esk2_0) np__2))) (k18_sin_cos (k10_real_1 (k9_real_1 esk1_0 esk2_0) np__2))) (k9_real_1 esk1_0 esk2_0))) = (k9_diff_1 k19_sin_cos esk1_0 esk2_0) → False) → (v1_finset_1 k3_numbers → False) → (v1_finset_1 k4_numbers → False) → (v1_finset_1 k1_numbers → False) → (v1_xboole_0 esk14_0 → False) → (v1_xboole_0 esk13_0 → False) → (v1_xboole_0 esk11_0 → False) → (v1_xboole_0 esk10_0 → False) → (v1_xboole_0 esk6_0 → False) → (v1_xboole_0 np__1 → False) → (v1_xboole_0 k3_numbers → False) → (v1_xboole_0 k4_numbers → False) → (v1_xboole_0 np__2 → False) → (v1_xboole_0 k1_numbers → False) → (∀X2 X1, (m1_subset_1 (esk7_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → False) → (∀X2 X1, (m1_subset_1 (esk5_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → False) → (∀X2 X1, (v1_funct_2 (esk5_2 X1 X2) X1 X2 → 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 (k4_xcmplx_0 np__1) np__2)) = np__1 → False) → 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 k16_sin_cos (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_numbers)) → False) → False) → ((m1_subset_1 k19_sin_cos (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) → (((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__1 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) → False) → False) → (((k2_xcmplx_0 (k7_xcmplx_0 np__1 np__2) (k7_xcmplx_0 np__1 np__2)) = np__1 → False) → 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) → (((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) → (((k2_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) np__1) = (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_numbers → False) → False) → ((m2_subset_1 np__2 k1_numbers k5_numbers → False) → False) → ((v1_funct_2 k16_sin_cos k1_numbers k1_numbers → False) → False) → ((v1_funct_2 k19_sin_cos k1_numbers k1_numbers → False) → 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) → (((k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) (k4_xcmplx_0 np__2)) = np__1 → False) → False) → (((k3_xcmplx_0 (k4_xcmplx_0 np__2) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = 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) → (((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) → (∀X1 X2, (v4_relat_1 (esk7_2 X1 X2) X1 → False) → False) → (∀X1 X2, (v4_relat_1 (esk5_2 X1 X2) X1 → False) → False) → (∀X2 X1, (v5_relat_1 (esk7_2 X1 X2) X2 → False) → False) → (∀X2 X1, (v5_relat_1 (esk5_2 X1 X2) X2 → 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__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) → (((k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) np__2) = np__1 → False) → False) → (((k7_xcmplx_0 np__1 (k7_xcmplx_0 np__1 np__2)) = np__2 → False) → False) → (((k3_xcmplx_0 np__2 (k7_xcmplx_0 np__1 np__2)) = np__1 → False) → 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_funct_1 (esk5_2 X1 X2) → False) → False) → (∀X1 X2, (v1_xboole_0 (esk7_2 X1 X2) → False) → False) → (∀X1 X2, (v1_relat_1 (esk7_2 X1 X2) → False) → False) → (∀X1 X2, (v1_relat_1 (esk5_2 X1 X2) → 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) → (((k6_xcmplx_0 (k4_xcmplx_0 np__1) (k4_xcmplx_0 np__2)) = np__1 → False) → False) → (∀X1, (v4_relat_1 (esk18_1 X1) X1 → False) → False) → (∀X1, (v4_relat_1 (esk17_1 X1) X1 → False) → False) → (∀X1, (v1_partfun1 (esk18_1 X1) X1 → False) → False) → (∀X1, (v1_partfun1 (esk17_1 X1) X1 → False) → False) → (∀X1, (m1_subset_1 (esk3_1 X1) X1 → False) → False) → (∀X1, (v5_relat_1 (esk17_1 X1) k3_numbers → 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) → (((k2_xcmplx_0 (k4_xcmplx_0 np__2) np__1) = (k4_xcmplx_0 np__1) → 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) → (((k2_xcmplx_0 np__1 (k4_xcmplx_0 np__2)) = (k4_xcmplx_0 np__1) → False) → False) → ((m1_subset_1 k5_numbers (k1_zfmisc_1 k1_numbers) → False) → False) → (((k2_xcmplx_0 (k4_xcmplx_0 np__1) np__2) = np__1 → False) → False) → (((k6_xcmplx_0 np__1 (k4_xcmplx_0 np__1)) = np__2 → False) → False) → (((k2_xcmplx_0 np__2 (k4_xcmplx_0 np__1)) = np__1 → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → (((k6_xcmplx_0 np__1 np__2) = (k4_xcmplx_0 np__1) → False) → False) → ((v4_relat_1 esk14_0 k5_numbers → False) → False) → ((v4_relat_1 esk11_0 k5_numbers → False) → False) → ((m1_subset_1 esk2_0 k1_numbers → False) → False) → ((m1_subset_1 esk1_0 k1_numbers → False) → False) → ((m1_subset_1 k1_xboole_0 k4_ordinal1 → False) → False) → ((m1_subset_1 np__1 k5_numbers → False) → False) → ((m1_subset_1 np__1 k1_numbers → False) → False) → ((m1_subset_1 np__2 k5_numbers → False) → False) → ((m1_subset_1 np__2 k1_numbers → False) → False) → (((k7_xcmplx_0 np__1 np__1) = np__1 → False) → False) → (((k7_xcmplx_0 np__2 np__2) = np__1 → False) → False) → (((k6_xcmplx_0 np__2 np__1) = np__1 → 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) → (∀X1, (v1_funct_1 (esk18_1 X1) → False) → False) → (∀X1, (v1_funct_1 (esk17_1 X1) → False) → False) → (∀X1, (v4_valued_0 (esk18_1 X1) → False) → False) → (∀X1, (v4_valued_0 (esk17_1 X1) → False) → False) → (∀X1, (v3_valued_0 (esk17_1 X1) → False) → False) → (∀X1, (v2_valued_0 (esk17_1 X1) → False) → False) → (∀X1, (v1_valued_0 (esk17_1 X1) → False) → False) → (∀X1, (v1_relat_1 (esk18_1 X1) → False) → False) → (∀X1, (v1_relat_1 (esk17_1 X1) → False) → False) → (((k4_xcmplx_0 (k4_xcmplx_0 np__1)) = np__1 → False) → False) → (((k4_xcmplx_0 (k4_xcmplx_0 np__2)) = np__2 → False) → False) → ((v1_finset_1 esk14_0 → False) → False) → ((v3_xxreal_0 esk15_0 → False) → False) → ((v2_xxreal_0 esk12_0 → False) → False) → ((v2_xxreal_0 np__1 → False) → False) → ((v2_xxreal_0 np__2 → False) → False) → ((v1_funct_1 esk14_0 → False) → False) → ((v1_funct_1 esk11_0 → False) → False) → ((v1_funct_1 esk8_0 → False) → False) → ((v1_funct_1 k16_sin_cos → False) → False) → ((v1_funct_1 k19_sin_cos → False) → False) → ((v7_membered esk13_0 → False) → False) → ((v7_membered k4_ordinal1 → False) → False) → ((v7_membered k3_numbers → False) → False) → ((v7_membered k4_numbers → False) → False) → ((v7_membered k1_numbers → False) → False) → ((v1_xboole_0 esk16_0 → False) → False) → ((v4_valued_0 esk8_0 → False) → False) → ((v4_membered k3_numbers → False) → False) → ((v1_xreal_0 esk16_0 → False) → False) → ((v1_xreal_0 esk15_0 → False) → False) → ((v1_xreal_0 esk12_0 → False) → False) → ((v1_xreal_0 esk9_0 → False) → False) → ((v3_membered k1_numbers → False) → False) → ((v1_xxreal_0 esk16_0 → False) → False) → ((v1_xxreal_0 esk15_0 → False) → False) → ((v1_xxreal_0 esk12_0 → False) → False) → ((v1_xcmplx_0 esk16_0 → False) → False) → ((v1_xcmplx_0 esk15_0 → False) → False) → ((v1_xcmplx_0 esk12_0 → False) → False) → ((v6_membered esk13_0 → False) → False) → ((v6_membered esk10_0 → False) → False) → ((v6_membered esk6_0 → False) → False) → ((v6_membered k4_ordinal1 → False) → False) → ((v1_relat_1 esk14_0 → False) → False) → ((v1_relat_1 esk11_0 → False) → False) → ((v1_relat_1 esk8_0 → False) → False) → ((v5_membered k4_numbers → False) → False) → ((k4_ordinal1 = k5_numbers → False) → False) → False
In Proofgold the corresponding term root is 6d2bb7... and proposition id is 306563...
Proof:
The rest of the proof is missing.