Theorem. (t15_fdiff_10)

∀esk1_0 : set, ∀k16_sin_cos : set, ∀k19_sin_cos : set, ∀k9_real_1 : set → set → set, ∀k5_square_1 : set → set, ∀esk2_0 : set, ∀v3_membered : set → prop, ∀v1_relat_1 : set → prop, ∀v1_valued_0 : set → prop, ∀k3_xcmplx_0 : set → set → set, ∀esk3_3 : set → set → set → set, ∀k1_funct_1 : set → set → set, ∀k3_xboole_0 : set → set → set, ∀k9_xtuple_0 : set → set, ∀esk17_2 : set → set → set, ∀r1_fdiff_1 : set → set → prop, ∀k9_subset_1 : set → set → set → set, ∀v1_xboole_0 : set → prop, ∀m2_subset_1 : set → set → set → prop, ∀k4_numbers : set, ∀v5_membered : set → prop, ∀v4_relat_1 : set → set → prop, ∀v1_xcmplx_0 : set → prop, ∀k2_xcmplx_0 : set → set → set, ∀v3_valued_0 : set → prop, ∀v1_membered : set → prop, ∀k4_xcmplx_0 : set → set, ∀v7_ordinal1 : set → prop, ∀v1_rat_1 : set → prop, ∀v1_xxreal_0 : set → prop, ∀np__1 : set, ∀v2_xxreal_0 : set → prop, ∀v3_ordinal1 : set → prop, ∀v1_finset_1 : set → prop, ∀esk12_0 : set, ∀esk6_0 : set, ∀np__2 : set, ∀np__0 : set, ∀esk9_0 : set, ∀esk15_0 : set, ∀k4_ordinal1 : set, ∀esk10_0 : set, ∀esk16_0 : set, ∀esk13_0 : set, ∀esk7_0 : set, ∀esk4_1 : set → set, ∀v1_funct_2 : set → set → set → prop, ∀esk8_2 : set → set → set, ∀esk11_0 : set, ∀esk14_0 : set, ∀v7_membered : set → prop, ∀v3_xxreal_0 : set → prop, ∀k3_square_1 : set → set, ∀k5_numbers : set, ∀k1_real_1 : set → set, ∀k6_xcmplx_0 : set → set → set, ∀v1_int_1 : set → prop, ∀esk5_2 : set → set → set, ∀v2_membered : set → prop, ∀v2_valued_0 : set → prop, ∀v6_membered : set → prop, ∀v4_valued_0 : set → prop, ∀v4_membered : set → prop, ∀v5_relat_1 : set → set → prop, ∀k3_numbers : set, ∀v1_xreal_0 : set → prop, ∀k18_valued_1 : set → set → set, ∀v3_rcomp_1 : set → prop, ∀m1_subset_1 : set → set → prop, ∀k2_zfmisc_1 : set → set → set, ∀r1_tarski : set → set → prop, ∀k1_relset_1 : set → set → set, ∀k1_zfmisc_1 : set → set, ∀r2_hidden : set → set → prop, ∀r2_fdiff_1 : set → set → prop, ∀v1_funct_1 : set → prop, ∀k2_fdiff_1 : set → set → set, ∀k1_numbers : set, ∀k20_valued_1 : set → set → set → set → set → set, ∀k7_real_1 : set → set → set, ∀k8_real_1 : set → set → set, ∀k1_seq_1 : set → set → set, ∀k1_fdiff_1 : set → set → set, (∀X4 X1 X3 X2, ((k1_seq_1 (k2_fdiff_1 (k20_valued_1 k1_numbers k1_numbers k1_numbers X3 X4) X2) X1) = (k7_real_1 (k8_real_1 (k1_seq_1 X4 X1) (k1_fdiff_1 X3 X1)) (k8_real_1 (k1_seq_1 X3 X1) (k1_fdiff_1 X4 X1))) → False) → v3_rcomp_1 X2 → v1_funct_1 X4 → v1_funct_1 X3 → r2_fdiff_1 X4 X2 → r2_fdiff_1 X3 X2 → r2_hidden X1 X2 → m1_subset_1 X1 k1_numbers → m1_subset_1 X2 (k1_zfmisc_1 k1_numbers) → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_numbers)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_numbers)) → r1_tarski X2 (k1_relset_1 k1_numbers (k20_valued_1 k1_numbers k1_numbers k1_numbers X3 X4)) → False) → ((k1_seq_1 (k2_fdiff_1 (k20_valued_1 k1_numbers k1_numbers k1_numbers k16_sin_cos k19_sin_cos) esk1_0) esk2_0) = (k9_real_1 (k5_square_1 (k1_seq_1 k19_sin_cos esk2_0)) (k5_square_1 (k1_seq_1 k16_sin_cos esk2_0))) → r2_fdiff_1 (k20_valued_1 k1_numbers k1_numbers k1_numbers k16_sin_cos k19_sin_cos) esk1_0 → False) → (∀X2 X1 X3, (r2_fdiff_1 (k20_valued_1 k1_numbers k1_numbers k1_numbers X1 X2) X3 → False) → v3_rcomp_1 X3 → v1_funct_1 X2 → v1_funct_1 X1 → r2_fdiff_1 X2 X3 → r2_fdiff_1 X1 X3 → m1_subset_1 X3 (k1_zfmisc_1 k1_numbers) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_numbers)) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_numbers)) → r1_tarski X3 (k1_relset_1 k1_numbers (k20_valued_1 k1_numbers k1_numbers k1_numbers X1 X2)) → False) → ((r2_hidden esk2_0 esk1_0 → False) → r2_fdiff_1 (k20_valued_1 k1_numbers k1_numbers k1_numbers k16_sin_cos k19_sin_cos) esk1_0 → False) → ((m1_subset_1 esk2_0 k1_numbers → False) → r2_fdiff_1 (k20_valued_1 k1_numbers k1_numbers k1_numbers k16_sin_cos k19_sin_cos) esk1_0 → False) → (∀X2 X4 X1 X5 X3, (m1_subset_1 (k20_valued_1 X1 X2 X3 X4 X5) (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → False) → v3_membered X3 → v3_membered X2 → v1_funct_1 X5 → v1_funct_1 X4 → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → (∀X2 X4 X1 X5 X3, (v1_funct_1 (k20_valued_1 X1 X2 X3 X4 X5) → False) → v3_membered X3 → v3_membered X2 → v1_funct_1 X5 → v1_funct_1 X4 → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → (∀X1 X3 X4 X5 X2, ((k20_valued_1 X4 X1 X2 X3 X5) = (k20_valued_1 X4 X1 X2 X5 X3) → False) → v3_membered X2 → v3_membered X1 → v1_funct_1 X5 → v1_funct_1 X3 → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X4 X1)) → False) → (∀X1 X3 X4 X5 X2, ((k20_valued_1 X4 X1 X2 X3 X5) = (k18_valued_1 X3 X5) → False) → v3_membered X2 → v3_membered X1 → v1_funct_1 X5 → v1_funct_1 X3 → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X4 X1)) → False) → (∀X2 X1 X3, (X1 = (k18_valued_1 X2 X3) → False) → (k9_xtuple_0 X1) = (k3_xboole_0 (k9_xtuple_0 X2) (k9_xtuple_0 X3)) → (k3_xcmplx_0 (k1_funct_1 X2 (esk3_3 X2 X3 X1)) (k1_funct_1 X3 (esk3_3 X2 X3 X1))) = (k1_funct_1 X1 (esk3_3 X2 X3 X1)) → v1_relat_1 X3 → v1_relat_1 X2 → v1_relat_1 X1 → v1_valued_0 X3 → v1_valued_0 X2 → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_1 X1 → False) → (∀X4 X2 X3 X1, (v1_relat_1 (k9_xtuple_0 X1) → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X3) X4)) → False) → (∀X1 X2, (r2_fdiff_1 X1 X2 → False) → v3_rcomp_1 X2 → v1_funct_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 k1_numbers) → r1_fdiff_1 X1 (esk17_2 X2 X1) → r1_tarski X2 (k1_relset_1 k1_numbers X1) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_numbers)) → False) → (∀X2 X1, (r2_fdiff_1 X2 X1 → False) → (r2_hidden (esk17_2 X1 X2) X1 → False) → v3_rcomp_1 X1 → v1_funct_1 X2 → m1_subset_1 X1 (k1_zfmisc_1 k1_numbers) → r1_tarski X1 (k1_relset_1 k1_numbers X2) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_numbers)) → False) → (∀X2 X1, (r2_fdiff_1 X2 X1 → False) → (m1_subset_1 (esk17_2 X1 X2) k1_numbers → False) → v3_rcomp_1 X1 → v1_funct_1 X2 → m1_subset_1 X1 (k1_zfmisc_1 k1_numbers) → r1_tarski X1 (k1_relset_1 k1_numbers X2) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_numbers)) → False) → (∀X2 X1 X3, (X3 = (k18_valued_1 X1 X2) → False) → (r2_hidden (esk3_3 X1 X2 X3) (k9_xtuple_0 X3) → False) → (k9_xtuple_0 X3) = (k3_xboole_0 (k9_xtuple_0 X1) (k9_xtuple_0 X2)) → v1_relat_1 X3 → v1_relat_1 X2 → v1_relat_1 X1 → v1_valued_0 X2 → v1_valued_0 X1 → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_1 X1 → False) → (∀X2 X3 X1, (r1_fdiff_1 X3 X1 → False) → v3_rcomp_1 X2 → v1_funct_1 X3 → r2_fdiff_1 X3 X2 → r2_hidden X1 X2 → m1_subset_1 X1 k1_numbers → m1_subset_1 X2 (k1_zfmisc_1 k1_numbers) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_numbers)) → False) → (∀X2 X1, (r1_tarski X1 (k1_relset_1 k1_numbers X2) → False) → v3_rcomp_1 X1 → v1_funct_1 X2 → r2_fdiff_1 X2 X1 → m1_subset_1 X1 (k1_zfmisc_1 k1_numbers) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_numbers)) → False) → (∀X1 X3 X4 X2, ((k1_funct_1 X2 X1) = (k3_xcmplx_0 (k1_funct_1 X3 X1) (k1_funct_1 X4 X1)) → False) → X2 = (k18_valued_1 X3 X4) → v1_relat_1 X4 → v1_relat_1 X3 → v1_relat_1 X2 → v1_valued_0 X4 → v1_valued_0 X3 → v1_funct_1 X4 → v1_funct_1 X3 → v1_funct_1 X2 → r2_hidden X1 (k9_xtuple_0 X2) → False) → (∀X2 X1, (m1_subset_1 (k2_fdiff_1 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_numbers)) → False) → v1_funct_1 X1 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_numbers)) → False) → (∀X3 X2 X1, (m1_subset_1 (k9_subset_1 X2 X3 X1) (k1_zfmisc_1 X2) → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X1, (m1_subset_1 (k1_fdiff_1 X1 X2) k1_numbers → False) → v1_xreal_0 X2 → v1_funct_1 X1 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_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) → (∀X3 X2 X1, ((k9_subset_1 X2 X1 X3) = (k9_subset_1 X2 X3 X1) → False) → m1_subset_1 X1 (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) → (∀X2 X1, (v1_funct_1 (k2_fdiff_1 X1 X2) → False) → v1_funct_1 X1 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_numbers)) → 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 (esk5_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) → (∀X2 X1 X3, ((k9_xtuple_0 X1) = (k3_xboole_0 (k9_xtuple_0 X2) (k9_xtuple_0 X3)) → False) → X1 = (k18_valued_1 X2 X3) → v1_relat_1 X3 → v1_relat_1 X2 → v1_relat_1 X1 → v1_valued_0 X3 → v1_valued_0 X2 → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_1 X1 → 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 X2 X1, ((k9_subset_1 X2 X3 X1) = (k3_xboole_0 X3 X1) → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X3 X2 X1, ((k9_subset_1 X2 X3 X3) = X3 → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X3 X1 X2, (r1_tarski X1 X2 → False) → r1_tarski X1 (k3_xboole_0 X2 X3) → False) → (∀X1 X2 X3, (v4_relat_1 (k3_xboole_0 X1 X3) X2 → False) → v1_relat_1 X3 → v1_relat_1 X1 → v4_relat_1 X1 X2 → False) → (∀X1 X2 X3, (v5_relat_1 (k3_xboole_0 X1 X3) X2 → False) → v1_relat_1 X3 → v1_relat_1 X1 → v5_relat_1 X1 X2 → False) → (∀X2 X1, (m1_subset_1 (k1_relset_1 X2 X1) (k1_zfmisc_1 X2) → False) → v1_relat_1 X1 → v4_relat_1 X1 X2 → False) → (∀X1 X2, (v1_funct_1 (k18_valued_1 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_valued_0 X2 → v1_valued_0 X1 → v1_funct_1 X2 → v1_funct_1 X1 → False) → (∀X1 X2, (v1_relat_1 (k18_valued_1 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_valued_0 X2 → v1_valued_0 X1 → v1_funct_1 X2 → v1_funct_1 X1 → False) → (∀X2 X1, (v5_relat_1 (k3_xboole_0 X1 X2) k3_numbers → False) → v1_relat_1 X2 → v1_relat_1 X1 → v5_relat_1 X1 k3_numbers → False) → (∀X2 X1, (v5_relat_1 (k3_xboole_0 X1 X2) k4_numbers → False) → v1_relat_1 X2 → v1_relat_1 X1 → v5_relat_1 X1 k4_numbers → 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, ((k18_valued_1 X1 X2) = (k18_valued_1 X2 X1) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_valued_0 X2 → v1_valued_0 X1 → v1_funct_1 X2 → v1_funct_1 X1 → 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 (k8_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, (m1_subset_1 (k9_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) → (∀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) = (k8_real_1 X2 X1) → 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) = (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, (v7_ordinal1 (k1_funct_1 X1 X2) → False) → v1_relat_1 X1 → v4_valued_0 X1 → v1_funct_1 X1 → False) → (∀X2 X1, (v4_valued_0 (k3_xboole_0 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v4_valued_0 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, (v3_valued_0 (k3_xboole_0 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v3_valued_0 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, (v2_valued_0 (k3_xboole_0 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v2_valued_0 X1 → False) → (∀X2 X1, (v1_valued_0 (k3_xboole_0 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_valued_0 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, ((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, ((k1_relset_1 X2 X1) = (k9_xtuple_0 X1) → False) → v1_relat_1 X1 → v4_relat_1 X1 X2 → False) → (∀X1, ((k1_real_1 (k1_seq_1 k16_sin_cos X1)) = (k1_fdiff_1 k19_sin_cos X1) → False) → v1_xreal_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) → (∀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 (k1_real_1 X1) k1_numbers → False) → m1_subset_1 X1 k1_numbers → False) → (∀X1, (m1_subset_1 (k5_square_1 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, (v4_membered (k3_xboole_0 X1 X2) → False) → v4_membered X1 → False) → (∀X2 X1, (v4_membered (k3_xboole_0 X2 X1) → False) → v4_membered X1 → False) → (∀X2 X1, (v3_membered (k3_xboole_0 X1 X2) → False) → v3_membered X1 → False) → (∀X2 X1, (v3_membered (k3_xboole_0 X2 X1) → False) → v3_membered X1 → False) → (∀X2 X1, (v2_membered (k3_xboole_0 X1 X2) → False) → v2_membered X1 → False) → (∀X2 X1, (v2_membered (k3_xboole_0 X2 X1) → False) → v2_membered X1 → False) → (∀X2 X1, (v3_valued_0 (k2_zfmisc_1 X2 X1) → False) → v3_membered X1 → False) → (∀X2 X1, (v1_membered (k3_xboole_0 X1 X2) → False) → v1_membered X1 → False) → (∀X2 X1, (v1_membered (k3_xboole_0 X2 X1) → False) → v1_membered X1 → False) → (∀X2 X1, (v2_valued_0 (k2_zfmisc_1 X2 X1) → False) → v2_membered X1 → False) → (∀X2 X1, (v6_membered (k3_xboole_0 X1 X2) → False) → v6_membered X1 → False) → (∀X2 X1, (v6_membered (k3_xboole_0 X2 X1) → False) → v6_membered X1 → False) → (∀X2 X1, (v1_valued_0 (k2_zfmisc_1 X2 X1) → False) → v1_membered X1 → False) → (∀X2 X1, (v5_membered (k3_xboole_0 X1 X2) → False) → v5_membered X1 → False) → (∀X2 X1, (v5_membered (k3_xboole_0 X2 X1) → False) → v5_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, ((k1_seq_1 k19_sin_cos X1) = (k1_fdiff_1 k16_sin_cos X1) → False) → v1_xreal_0 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, ((k1_real_1 X1) = (k4_xcmplx_0 X1) → False) → m1_subset_1 X1 k1_numbers → False) → (∀X1, ((k5_square_1 X1) = (k3_square_1 X1) → False) → m1_subset_1 X1 k1_numbers → False) → (∀X1, ((k3_xcmplx_0 X1 (k4_xcmplx_0 np__1)) = (k4_xcmplx_0 X1) → False) → v1_xcmplx_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, ((k3_xcmplx_0 X1 X1) = (k3_square_1 X1) → False) → v1_xcmplx_0 X1 → False) → (∀X1, (v6_membered X1 → False) → m1_subset_1 X1 k5_numbers → 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, (r1_fdiff_1 k19_sin_cos X1 → False) → v1_xreal_0 X1 → False) → (∀X1, (r1_fdiff_1 k16_sin_cos X1 → False) → v1_xreal_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_xcmplx_0 (k4_xcmplx_0 X1) → False) → v1_xcmplx_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, (v2_membered X1 → False) → v3_membered 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) → (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 esk12_0 → False) → (v1_xboole_0 esk11_0 → False) → (v1_xboole_0 esk6_0 → False) → (v1_xboole_0 k3_numbers → False) → (v1_xboole_0 k4_numbers → False) → (v1_xboole_0 k1_numbers → False) → ((r1_tarski esk1_0 (k1_relset_1 k1_numbers (k20_valued_1 k1_numbers k1_numbers k1_numbers k16_sin_cos k19_sin_cos)) → False) → False) → (∀X2 X1, (m1_subset_1 (esk8_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → False) → ((m1_subset_1 k19_sin_cos (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_numbers)) → False) → False) → ((m1_subset_1 k16_sin_cos (k1_zfmisc_1 (k2_zfmisc_1 k1_numbers k1_numbers)) → False) → False) → ((m2_subset_1 np__2 k1_numbers k5_numbers → False) → False) → ((m2_subset_1 np__1 k1_numbers k5_numbers → False) → False) → ((m2_subset_1 np__0 k1_numbers k5_numbers → False) → False) → ((v1_funct_2 k19_sin_cos k1_numbers k1_numbers → False) → False) → ((v1_funct_2 k16_sin_cos k1_numbers k1_numbers → False) → False) → (∀X1 X2, (v4_relat_1 (esk8_2 X1 X2) X1 → False) → False) → (∀X2 X1, (v5_relat_1 (esk8_2 X1 X2) X2 → False) → False) → (∀X1 X2, (v1_xboole_0 (esk8_2 X1 X2) → False) → False) → (∀X1 X2, (v1_relat_1 (esk8_2 X1 X2) → False) → False) → (∀X2 X1, ((k3_xboole_0 X1 X2) = (k3_xboole_0 X2 X1) → 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__2) (k4_xcmplx_0 np__2)) = np__0 → False) → False) → (((k6_xcmplx_0 (k4_xcmplx_0 np__1) (k4_xcmplx_0 np__2)) = np__1 → False) → False) → (((k6_xcmplx_0 (k4_xcmplx_0 np__1) (k4_xcmplx_0 np__1)) = np__0 → False) → False) → (∀X1, (m1_subset_1 (esk4_1 X1) X1 → False) → 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) → (((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) → (((k2_xcmplx_0 (k4_xcmplx_0 np__1) np__0) = (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) → (((k2_xcmplx_0 np__0 (k4_xcmplx_0 np__1)) = (k4_xcmplx_0 np__1) → False) → False) → ((m1_subset_1 esk12_0 (k1_zfmisc_1 k1_numbers) → False) → False) → ((m1_subset_1 esk7_0 (k1_zfmisc_1 k1_numbers) → False) → False) → ((m1_subset_1 esk1_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__2) np__2) = np__0 → False) → False) → (((k2_xcmplx_0 (k4_xcmplx_0 np__1) np__2) = np__1 → False) → False) → (((k2_xcmplx_0 (k4_xcmplx_0 np__1) np__1) = np__0 → False) → False) → (((k6_xcmplx_0 np__1 (k4_xcmplx_0 np__1)) = np__2 → False) → False) → (((k6_xcmplx_0 np__0 (k4_xcmplx_0 np__2)) = np__2 → False) → False) → (((k6_xcmplx_0 np__0 (k4_xcmplx_0 np__1)) = np__1 → False) → False) → (((k2_xcmplx_0 np__2 (k4_xcmplx_0 np__1)) = np__1 → False) → False) → (((k2_xcmplx_0 np__1 (k4_xcmplx_0 np__1)) = np__0 → False) → False) → (∀X1, ((k3_xboole_0 X1 X1) = X1 → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → (((k6_xcmplx_0 np__1 np__2) = (k4_xcmplx_0 np__1) → False) → False) → (((k6_xcmplx_0 np__0 np__2) = (k4_xcmplx_0 np__2) → False) → False) → (((k6_xcmplx_0 np__0 np__1) = (k4_xcmplx_0 np__1) → False) → False) → ((m1_subset_1 np__2 k5_numbers → False) → False) → ((m1_subset_1 np__2 k1_numbers → False) → False) → ((m1_subset_1 np__1 k5_numbers → False) → False) → ((m1_subset_1 np__1 k1_numbers → False) → False) → ((m1_subset_1 np__0 k5_numbers → False) → False) → ((m1_subset_1 np__0 k1_numbers → False) → False) → (((k6_xcmplx_0 np__2 np__2) = np__0 → False) → False) → (((k6_xcmplx_0 np__2 np__1) = np__1 → False) → False) → (((k6_xcmplx_0 np__2 np__0) = np__2 → False) → False) → (((k6_xcmplx_0 np__1 np__1) = np__0 → False) → False) → (((k6_xcmplx_0 np__1 np__0) = np__1 → False) → False) → (((k3_xcmplx_0 np__2 np__1) = np__2 → False) → False) → (((k3_xcmplx_0 np__2 np__0) = np__0 → False) → False) → (((k3_xcmplx_0 np__1 np__2) = np__2 → False) → False) → (((k3_xcmplx_0 np__1 np__1) = np__1 → False) → False) → (((k3_xcmplx_0 np__1 np__0) = np__0 → False) → False) → (((k3_xcmplx_0 np__0 np__2) = np__0 → False) → False) → (((k3_xcmplx_0 np__0 np__1) = np__0 → False) → False) → (((k3_xcmplx_0 np__0 np__0) = np__0 → False) → False) → (((k2_xcmplx_0 np__2 np__0) = np__2 → False) → False) → (((k2_xcmplx_0 np__1 np__1) = np__2 → False) → False) → (((k2_xcmplx_0 np__1 np__0) = np__1 → False) → False) → (((k2_xcmplx_0 np__0 np__2) = np__2 → False) → False) → (((k2_xcmplx_0 np__0 np__1) = np__1 → False) → False) → (((k2_xcmplx_0 np__0 np__0) = np__0 → False) → False) → (((k4_xcmplx_0 (k4_xcmplx_0 np__2)) = np__2 → False) → False) → (((k4_xcmplx_0 (k4_xcmplx_0 np__1)) = np__1 → False) → False) → ((v1_funct_1 esk9_0 → False) → False) → ((v1_funct_1 k19_sin_cos → False) → False) → ((v1_funct_1 k16_sin_cos → False) → False) → ((v2_xxreal_0 esk13_0 → False) → False) → ((v2_xxreal_0 np__2 → False) → False) → ((v2_xxreal_0 np__1 → False) → False) → ((v3_xxreal_0 esk15_0 → False) → False) → ((v7_membered esk14_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) → ((v3_ordinal1 esk12_0 → False) → False) → ((v1_xboole_0 esk16_0 → False) → False) → ((v4_valued_0 esk9_0 → False) → False) → ((v4_membered k3_numbers → False) → False) → ((v3_membered esk7_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 esk13_0 → False) → False) → ((v1_xxreal_0 esk10_0 → False) → False) → ((v2_membered esk7_0 → False) → False) → ((v1_membered esk7_0 → False) → False) → ((v6_membered esk14_0 → False) → False) → ((v6_membered esk11_0 → False) → False) → ((v6_membered esk6_0 → False) → False) → ((v6_membered k4_ordinal1 → False) → False) → ((v1_relat_1 esk9_0 → False) → False) → ((v5_membered k4_numbers → False) → False) → ((v3_rcomp_1 esk7_0 → False) → False) → ((v3_rcomp_1 esk1_0 → False) → False) → (((k4_xcmplx_0 np__0) = np__0 → False) → False) → ((k4_ordinal1 = k5_numbers → False) → False) → False

In Proofgold the corresponding term root is c69de6... and proposition id is e92207...

Proof:

The rest of the proof is missing.