Theorem. (t4_limfunc3)
∀k2_xboole_0 : set → set → set, ∀esk5_3 : set → set → set → set, ∀a_2_0_limfunc3 : set → set → set, ∀esk9_3 : set → set → set → set, ∀v1_xxreal_0 : set → prop, ∀esk11_3 : set → set → set → set, ∀a_2_1_rcomp_1 : set → set → set, ∀v1_xboole_0 : set → prop, ∀m2_subset_1 : set → set → set → prop, ∀esk8_2 : set → set → set, ∀k6_xcmplx_0 : set → set → set, ∀r1_tarski : set → set → prop, ∀esk4_2 : set → set → set, ∀v3_xxreal_0 : set → prop, ∀v7_ordinal1 : set → prop, ∀k2_rcomp_1 : set → set → set, ∀v4_membered : set → prop, ∀v2_membered : set → prop, ∀v6_membered : set → prop, ∀k4_xxreal_1 : set → set → set, ∀v1_rat_1 : set → prop, ∀k5_numbers : set, ∀v5_ordinal1 : set → prop, ∀esk1_0 : set, ∀esk2_0 : set, ∀np__0 : set, ∀esk28_0 : set, ∀esk19_0 : set, ∀esk17_0 : set, ∀esk21_0 : set, ∀esk23_0 : set, ∀esk14_0 : set, ∀esk27_0 : set, ∀esk16_0 : set, ∀esk15_0 : set, ∀esk25_0 : set, ∀o_0_0_xboole_0 : set, ∀esk26_0 : set, ∀esk24_0 : set, ∀esk20_0 : set, ∀esk7_1 : set → set, ∀esk13_0 : set, ∀esk18_0 : set, ∀esk22_0 : set, ∀v1_finset_1 : set → prop, ∀np__1 : set, ∀k1_xboole_0 : set, ∀v7_membered : set → prop, ∀v2_ordinal1 : set → prop, ∀v1_ordinal1 : set → prop, ∀k4_ordinal1 : set, ∀v1_int_1 : set → prop, ∀v3_ordinal1 : set → prop, ∀v6_ordinal1 : set → prop, ∀v1_membered : set → prop, ∀v3_membered : set → prop, ∀v5_membered : set → prop, ∀k4_xcmplx_0 : set → set, ∀v2_xxreal_0 : set → prop, ∀esk3_2 : set → set → set, ∀k1_tarski : set → set, ∀v1_xcmplx_0 : set → prop, ∀esk29_2 : set → set → set, ∀v1_xreal_0 : set → prop, ∀k2_xcmplx_0 : set → set → set, ∀k6_numbers : set, ∀k7_subset_1 : set → set → set → set, ∀k4_subset_1 : set → set → set → set, ∀k1_zfmisc_1 : set → set, ∀esk12_3 : set → set → set → set, ∀k7_real_1 : set → set → set, ∀a_2_2_limfunc3 : set → set → set, ∀k9_real_1 : set → set → set, ∀esk10_3 : set → set → set → set, ∀r1_xxreal_0 : set → set → prop, ∀a_2_1_limfunc3 : set → set → set, ∀m1_subset_1 : set → set → prop, ∀k1_numbers : set, ∀r2_hidden : set → set → prop, ∀esk6_3 : set → set → set → set, ∀k4_xboole_0 : set → set → set, (∀X1 X3 X2, (X3 = (k4_xboole_0 X1 X2) → False) → (r2_hidden (esk6_3 X1 X2 X3) X2 → False) → r2_hidden (esk6_3 X1 X2 X3) X3 → r2_hidden (esk6_3 X1 X2 X3) X1 → False) → (∀X1 X3 X2, (X3 = (k2_xboole_0 X1 X2) → False) → r2_hidden (esk5_3 X1 X2 X3) X3 → r2_hidden (esk5_3 X1 X2 X3) X1 → False) → (∀X2 X3 X1, (X3 = (k2_xboole_0 X1 X2) → False) → r2_hidden (esk5_3 X1 X2 X3) X3 → r2_hidden (esk5_3 X1 X2 X3) X2 → False) → (∀X1 X3 X2, (X3 = (k2_xboole_0 X1 X2) → False) → (r2_hidden (esk5_3 X1 X2 X3) X3 → False) → (r2_hidden (esk5_3 X1 X2 X3) X2 → False) → (r2_hidden (esk5_3 X1 X2 X3) X1 → False) → False) → (∀X2 X1 X3, m1_subset_1 X3 k1_numbers → m1_subset_1 X2 k1_numbers → r2_hidden X1 (a_2_1_limfunc3 X2 X3) → r1_xxreal_0 (esk10_3 X1 X2 X3) (k9_real_1 X3 X2) → False) → (∀X2 X1 X3, m1_subset_1 X3 k1_numbers → m1_subset_1 X2 k1_numbers → r2_hidden X1 (a_2_0_limfunc3 X2 X3) → r1_xxreal_0 (esk9_3 X1 X2 X3) (k9_real_1 X3 X2) → False) → (∀X1 X3 X2, m1_subset_1 X2 k1_numbers → m1_subset_1 X1 k1_numbers → r2_hidden X3 (a_2_2_limfunc3 X2 X1) → r1_xxreal_0 (k7_real_1 X1 X2) (esk12_3 X3 X2 X1) → False) → (∀X1 X3 X2, m1_subset_1 X2 k1_numbers → m1_subset_1 X1 k1_numbers → r2_hidden X3 (a_2_0_limfunc3 X2 X1) → r1_xxreal_0 (k7_real_1 X1 X2) (esk9_3 X3 X2 X1) → False) → (∀X2 X3 X1, (X3 = (k4_xboole_0 X1 X2) → False) → (r2_hidden (esk6_3 X1 X2 X3) X3 → False) → r2_hidden (esk6_3 X1 X2 X3) X2 → False) → (∀X2 X1 X3, m1_subset_1 X3 k1_numbers → m1_subset_1 X2 k1_numbers → r2_hidden X1 (a_2_2_limfunc3 X2 X3) → r1_xxreal_0 (esk12_3 X1 X2 X3) X3 → False) → (∀X1 X2 X3, m1_subset_1 X3 k1_numbers → m1_subset_1 X1 k1_numbers → r2_hidden X2 (a_2_1_limfunc3 X3 X1) → r1_xxreal_0 X1 (esk10_3 X2 X3 X1) → False) → (∀X2 X1 X3, v1_xxreal_0 X3 → v1_xxreal_0 X2 → r2_hidden X1 (a_2_1_rcomp_1 X2 X3) → r1_xxreal_0 (esk11_3 X1 X2 X3) X2 → False) → (∀X1 X2 X3, v1_xxreal_0 X3 → v1_xxreal_0 X1 → r2_hidden X2 (a_2_1_rcomp_1 X3 X1) → r1_xxreal_0 X1 (esk11_3 X2 X3 X1) → False) → (∀X1 X3 X2, (X3 = (k4_xboole_0 X1 X2) → False) → (r2_hidden (esk6_3 X1 X2 X3) X3 → False) → (r2_hidden (esk6_3 X1 X2 X3) X1 → False) → False) → (∀X2 X1 X3, (m1_subset_1 (esk12_3 X1 X2 X3) k1_numbers → False) → m1_subset_1 X3 k1_numbers → m1_subset_1 X2 k1_numbers → r2_hidden X1 (a_2_2_limfunc3 X2 X3) → False) → (∀X2 X1 X3, (m1_subset_1 (esk10_3 X1 X2 X3) k1_numbers → False) → m1_subset_1 X3 k1_numbers → m1_subset_1 X2 k1_numbers → r2_hidden X1 (a_2_1_limfunc3 X2 X3) → False) → (∀X2 X1 X3, (m1_subset_1 (esk9_3 X1 X2 X3) k1_numbers → False) → m1_subset_1 X3 k1_numbers → m1_subset_1 X2 k1_numbers → r2_hidden X1 (a_2_0_limfunc3 X2 X3) → False) → (∀X2 X1 X3, (m1_subset_1 (esk11_3 X1 X2 X3) k1_numbers → False) → v1_xxreal_0 X3 → v1_xxreal_0 X2 → r2_hidden X1 (a_2_1_rcomp_1 X2 X3) → False) → (∀X3 X2 X1, (m1_subset_1 (k4_subset_1 X2 X1 X3) (k1_zfmisc_1 X2) → False) → m1_subset_1 X3 (k1_zfmisc_1 X2) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X3 X4 X1, (r1_xxreal_0 X1 (k9_real_1 X3 X4) → False) → (r2_hidden X2 (a_2_0_limfunc3 X4 X3) → False) → (r1_xxreal_0 (k7_real_1 X3 X4) X1 → False) → X1 = X2 → m1_subset_1 X4 k1_numbers → m1_subset_1 X3 k1_numbers → m1_subset_1 X1 k1_numbers → False) → (∀X3 X2 X1, ((k4_subset_1 X2 X1 X3) = (k4_subset_1 X2 X3 X1) → False) → m1_subset_1 X3 (k1_zfmisc_1 X2) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X4 X1 X3, (r1_xxreal_0 X1 X3 → False) → (r2_hidden X2 (a_2_2_limfunc3 X4 X3) → False) → (r1_xxreal_0 (k7_real_1 X3 X4) X1 → False) → X1 = X2 → m1_subset_1 X4 k1_numbers → m1_subset_1 X3 k1_numbers → m1_subset_1 X1 k1_numbers → False) → (∀X4 X2 X3 X1, (r1_xxreal_0 X3 X1 → False) → (r1_xxreal_0 X1 (k9_real_1 X3 X4) → False) → (r2_hidden X2 (a_2_1_limfunc3 X4 X3) → False) → X1 = X2 → m1_subset_1 X4 k1_numbers → m1_subset_1 X3 k1_numbers → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1 X3, ((esk12_3 X1 X2 X3) = X1 → False) → m1_subset_1 X3 k1_numbers → m1_subset_1 X2 k1_numbers → r2_hidden X1 (a_2_2_limfunc3 X2 X3) → False) → (∀X2 X1 X3, ((esk10_3 X1 X2 X3) = X1 → False) → m1_subset_1 X3 k1_numbers → m1_subset_1 X2 k1_numbers → r2_hidden X1 (a_2_1_limfunc3 X2 X3) → False) → (∀X2 X1 X3, ((esk9_3 X1 X2 X3) = X1 → False) → m1_subset_1 X3 k1_numbers → m1_subset_1 X2 k1_numbers → r2_hidden X1 (a_2_0_limfunc3 X2 X3) → False) → (∀X3 X2 X1, (m1_subset_1 (k7_subset_1 X2 X1 X3) (k1_zfmisc_1 X2) → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → 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) → (∀X2 X1 X3, ((esk11_3 X1 X2 X3) = X1 → False) → v1_xxreal_0 X3 → v1_xxreal_0 X2 → r2_hidden X1 (a_2_1_rcomp_1 X2 X3) → False) → (∀X3 X2 X1, ((k4_subset_1 X2 X1 X3) = (k2_xboole_0 X1 X3) → False) → m1_subset_1 X3 (k1_zfmisc_1 X2) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m2_subset_1 (esk8_2 X1 X2) X1 X2 → False) → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X3 X1 X2, (r1_xxreal_0 X2 k6_numbers → False) → v1_xreal_0 X3 → v1_xreal_0 X2 → v1_xreal_0 X1 → r1_xxreal_0 X3 X1 → r1_xxreal_0 (k2_xcmplx_0 X1 X2) X3 → False) → (∀X1 X2 X3, (r1_xxreal_0 X3 k6_numbers → False) → v1_xreal_0 X3 → v1_xreal_0 X2 → v1_xreal_0 X1 → r1_xxreal_0 X2 X1 → r1_xxreal_0 X1 (k6_xcmplx_0 X2 X3) → False) → (∀X3 X2 X1, ((k4_subset_1 X2 X1 X1) = X1 → False) → m1_subset_1 X3 (k1_zfmisc_1 X2) → m1_subset_1 X1 (k1_zfmisc_1 X2) → 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) → (∀X1 X3 X2, r2_hidden X3 X2 → r2_hidden X1 X2 → r2_hidden X1 (esk29_2 X3 X2) → False) → (∀X3 X2 X4 X1, (r1_xxreal_0 X4 X1 → False) → (r1_xxreal_0 X1 X3 → False) → (r2_hidden X2 (a_2_1_rcomp_1 X3 X4) → False) → X1 = X2 → v1_xxreal_0 X4 → v1_xxreal_0 X3 → m1_subset_1 X1 k1_numbers → 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, ((k7_subset_1 X2 X1 X3) = (k4_xboole_0 X1 X3) → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X1, (X2 = (k1_tarski X1) → False) → (esk3_2 X1 X2) = X1 → r2_hidden (esk3_2 X1 X2) X2 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → r2_hidden (esk4_2 X1 X2) X2 → False) → (∀X3 X2 X1 X4, (r2_hidden X1 X4 → False) → (r2_hidden X1 X3 → False) → X2 = (k2_xboole_0 X3 X4) → r2_hidden X1 X2 → False) → (∀X3 X2 X1 X4, (r2_hidden X1 X4 → False) → (r2_hidden X1 X3 → False) → X4 = (k4_xboole_0 X2 X3) → r2_hidden 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, (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) → (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) → (∀X4 X3 X2 X1, X3 = (k4_xboole_0 X4 X2) → r2_hidden X1 X3 → r2_hidden X1 X2 → 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 (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, (r2_hidden (esk29_2 X1 X2) X2 → False) → r2_hidden X1 X2 → False) → (∀X2 X1 X3, v1_xboole_0 X3 → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X1 X2, (X1 = X2 → False) → v1_xxreal_0 X2 → v1_xxreal_0 X1 → r1_xxreal_0 X2 X1 → r1_xxreal_0 X1 X2 → False) → (∀X3 X4 X1 X2, (r2_hidden X1 X2 → False) → X3 = (k4_xboole_0 X2 X4) → r2_hidden X1 X3 → False) → (∀X2 X4 X1 X3, (r2_hidden X1 X3 → False) → X3 = (k2_xboole_0 X2 X4) → r2_hidden X1 X2 → False) → (∀X2 X4 X1 X3, (r2_hidden X1 X3 → False) → X3 = (k2_xboole_0 X4 X2) → r2_hidden X1 X2 → False) → (∀X2 X1, (X2 = (k1_tarski X1) → False) → ((esk3_2 X1 X2) = X1 → False) → (r2_hidden (esk3_2 X1 X2) X2 → False) → False) → (∀X1 X3 X2, (r2_hidden X3 X2 → False) → r2_hidden X3 X1 → r1_tarski X1 X2 → False) → (∀X2 X1, (m1_subset_1 (k2_rcomp_1 X1 X2) (k1_zfmisc_1 k1_numbers) → False) → v1_xxreal_0 X2 → v1_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) → (∀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, ((k9_real_1 X1 X2) = (k6_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, ((k7_real_1 X1 X2) = (k7_real_1 X2 X1) → False) → v1_xreal_0 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X1 X2, (r1_tarski X1 X2 → False) → (r2_hidden (esk4_2 X1 X2) X1 → False) → 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, (v1_xboole_0 X1 → False) → (v3_xxreal_0 X1 → False) → (v2_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → r1_xxreal_0 X1 X2 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v3_xxreal_0 X1 → False) → (v2_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_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) → (∀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, (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) → (∀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, (X1 = X2 → False) → r1_tarski X2 X1 → r1_tarski 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, (v7_ordinal1 (k2_xcmplx_0 X1 X2) → False) → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X2 X1, (v5_membered (k2_xboole_0 X1 X2) → False) → v5_membered X2 → v5_membered X1 → False) → (∀X2 X1, (v4_membered (k2_xboole_0 X1 X2) → False) → v4_membered X2 → v4_membered 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 (k2_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, (v3_membered (k2_xboole_0 X1 X2) → False) → v3_membered X2 → v3_membered X1 → False) → (∀X2 X1, (v2_membered (k2_xboole_0 X1 X2) → False) → v2_membered X2 → v2_membered X1 → False) → (∀X2 X1, (v1_membered (k2_xboole_0 X1 X2) → False) → v1_membered X2 → v1_membered X1 → False) → (∀X2 X1, (v6_membered (k2_xboole_0 X1 X2) → False) → v6_membered X2 → v6_membered X1 → False) → (∀X1 X2, (v5_membered X2 → False) → v5_membered 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, (v6_ordinal1 X2 → False) → v6_ordinal1 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, ((k4_xxreal_1 X1 X2) = (k2_rcomp_1 X1 X2) → False) → v1_xxreal_0 X2 → v1_xxreal_0 X1 → False) → (∀X2 X1, ((k2_rcomp_1 X1 X2) = (a_2_1_rcomp_1 X1 X2) → False) → v1_xxreal_0 X2 → v1_xxreal_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 X2, (v3_xxreal_0 X2 → False) → (v2_xxreal_0 X1 → False) → (r1_xxreal_0 X1 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v2_xxreal_0 X1 → False) → (r1_xxreal_0 X1 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, (v5_membered (k4_xboole_0 X1 X2) → False) → v5_membered X1 → False) → (∀X2 X1, (v4_membered (k4_xboole_0 X1 X2) → False) → v4_membered X1 → False) → (∀X2 X1, (v3_membered (k4_xboole_0 X1 X2) → False) → v3_membered X1 → False) → (∀X2 X1, (v2_membered (k4_xboole_0 X1 X2) → False) → v2_membered X1 → False) → (∀X2 X1, (v1_membered (k4_xboole_0 X1 X2) → False) → v1_membered X1 → False) → (∀X2 X1, (v6_membered (k4_xboole_0 X1 X2) → False) → v6_membered X1 → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X1 X2, (v3_ordinal1 X2 → False) → v3_ordinal1 X1 → m1_subset_1 X2 X1 → 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) → (∀X2 X1 X3, (X1 = X3 → False) → X2 = (k1_tarski X3) → r2_hidden X1 X2 → 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 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, (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, v3_xxreal_0 X1 → m1_subset_1 X1 k5_numbers → False) → (∀X2 X1 X3, (r2_hidden X1 X3 → False) → X1 = X2 → X3 = (k1_tarski X2) → False) → (∀X1, (v7_ordinal1 X1 → False) → m1_subset_1 X1 k4_ordinal1 → 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, (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, 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, ((k6_xcmplx_0 X1 k6_numbers) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k2_xcmplx_0 X1 k6_numbers) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v1_ordinal1 X1 → v2_ordinal1 X1 → False) → (∀X1, ((k4_xcmplx_0 (k4_xcmplx_0 X1)) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → X1 = X2 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → X1 = X2 → False) → (∀X1, (v5_membered (k1_tarski X1) → False) → v1_int_1 X1 → False) → (∀X1, (v4_membered (k1_tarski X1) → False) → v1_rat_1 X1 → False) → (∀X1, (v1_xreal_0 (k4_xcmplx_0 X1) → False) → v1_xreal_0 X1 → False) → (∀X1, (v3_membered (k1_tarski X1) → False) → v1_xreal_0 X1 → False) → (∀X1, (v2_membered (k1_tarski X1) → False) → v1_xxreal_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) → (∀X1, (v1_membered (k1_tarski X1) → False) → v1_xcmplx_0 X1 → False) → (∀X1, (v6_membered (k1_tarski X1) → False) → v7_ordinal1 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, v7_ordinal1 X1 → v3_xxreal_0 X1 → False) → (∀X1, (v5_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v7_membered X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v2_ordinal1 X1 → False) → v3_ordinal1 X1 → False) → (∀X1, (v1_ordinal1 X1 → False) → v3_ordinal1 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v7_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v5_membered X1 → False) → v6_membered 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) → 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, (v6_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → ((k4_subset_1 k1_numbers (k2_rcomp_1 (k9_real_1 esk2_0 esk1_0) esk2_0) (k2_rcomp_1 esk2_0 (k7_real_1 esk2_0 esk1_0))) = (k7_subset_1 k1_numbers (k2_rcomp_1 (k9_real_1 esk2_0 esk1_0) (k7_real_1 esk2_0 esk1_0)) (k1_tarski esk2_0)) → False) → (r1_xxreal_0 np__1 (k4_xcmplx_0 np__1) → False) → (r1_xxreal_0 np__0 (k4_xcmplx_0 np__1) → False) → (r1_xxreal_0 esk1_0 k6_numbers → False) → (r1_xxreal_0 np__1 np__0 → False) → (v1_finset_1 k1_numbers → False) → (v1_xboole_0 esk28_0 → False) → (v1_xboole_0 esk22_0 → False) → (v1_xboole_0 esk19_0 → False) → (v1_xboole_0 esk18_0 → False) → (v1_xboole_0 esk17_0 → False) → (v1_xboole_0 esk13_0 → False) → (v1_xboole_0 np__1 → False) → (v1_xboole_0 k4_ordinal1 → False) → (v1_xboole_0 k1_numbers → False) → ((m2_subset_1 np__1 k1_numbers k5_numbers → False) → False) → ((m2_subset_1 np__0 k1_numbers k5_numbers → False) → False) → ((m2_subset_1 k6_numbers k1_numbers k5_numbers → False) → False) → (∀X2 X1, ((k2_xboole_0 X1 X2) = (k2_xboole_0 X2 X1) → False) → False) → ((r1_xxreal_0 (k4_xcmplx_0 np__1) (k4_xcmplx_0 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 (esk7_1 X1) X1 → False) → False) → (((k6_xcmplx_0 (k4_xcmplx_0 np__1) np__0) = (k4_xcmplx_0 np__1) → False) → False) → (((k2_xcmplx_0 (k4_xcmplx_0 np__1) np__0) = (k4_xcmplx_0 np__1) → False) → False) → (((k2_xcmplx_0 np__0 (k4_xcmplx_0 np__1)) = (k4_xcmplx_0 np__1) → False) → False) → ((r1_xxreal_0 (k4_xcmplx_0 np__1) np__1 → False) → False) → ((r1_xxreal_0 (k4_xcmplx_0 np__1) np__0 → False) → False) → ((m1_subset_1 esk18_0 (k1_zfmisc_1 k1_numbers) → False) → False) → ((m1_subset_1 k5_numbers (k1_zfmisc_1 k1_numbers) → False) → False) → (((k2_xcmplx_0 (k4_xcmplx_0 np__1) np__1) = np__0 → False) → False) → (((k6_xcmplx_0 np__0 (k4_xcmplx_0 np__1)) = np__1 → False) → False) → (((k2_xcmplx_0 np__1 (k4_xcmplx_0 np__1)) = np__0 → False) → False) → (∀X1, ((k2_xboole_0 X1 X1) = X1 → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → (((k6_xcmplx_0 np__0 np__1) = (k4_xcmplx_0 np__1) → False) → False) → (∀X1, ((k4_xboole_0 X1 k1_xboole_0) = X1 → False) → False) → (∀X1, ((k2_xboole_0 X1 k1_xboole_0) = X1 → False) → False) → (∀X1, ((k4_xboole_0 k1_xboole_0 X1) = k1_xboole_0 → False) → False) → ((r1_xxreal_0 np__1 np__1 → False) → False) → ((r1_xxreal_0 np__0 np__1 → False) → False) → ((r1_xxreal_0 np__0 np__0 → False) → False) → ((m1_subset_1 esk2_0 k1_numbers → False) → False) → ((m1_subset_1 esk1_0 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) → ((m1_subset_1 k1_xboole_0 k4_ordinal1 → False) → False) → (((k6_xcmplx_0 np__1 np__1) = np__0 → False) → False) → (((k6_xcmplx_0 np__1 np__0) = np__1 → False) → False) → (((k2_xcmplx_0 np__1 np__0) = np__1 → 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__1)) = np__1 → False) → False) → ((v2_xxreal_0 esk21_0 → False) → False) → ((v2_xxreal_0 esk20_0 → False) → False) → ((v2_xxreal_0 np__1 → False) → False) → ((v3_xxreal_0 esk24_0 → False) → False) → ((v3_xxreal_0 esk23_0 → False) → False) → ((v7_membered esk22_0 → False) → False) → ((v7_membered k4_ordinal1 → False) → False) → ((v7_membered k1_numbers → False) → False) → ((v2_ordinal1 esk19_0 → False) → False) → ((v1_ordinal1 esk19_0 → False) → False) → ((v3_ordinal1 esk19_0 → False) → False) → ((v3_ordinal1 esk18_0 → False) → False) → ((v3_ordinal1 esk14_0 → False) → False) → ((v3_ordinal1 k4_ordinal1 → False) → False) → ((v1_xboole_0 esk27_0 → False) → False) → ((v1_xboole_0 esk26_0 → False) → False) → ((v1_xboole_0 np__0 → False) → False) → ((v1_xboole_0 o_0_0_xboole_0 → False) → False) → ((v7_ordinal1 esk28_0 → False) → False) → ((v7_ordinal1 esk25_0 → False) → False) → ((v1_xreal_0 esk26_0 → False) → False) → ((v1_xreal_0 esk23_0 → False) → False) → ((v1_xreal_0 esk20_0 → False) → False) → ((v1_xreal_0 esk15_0 → 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 esk24_0 → False) → False) → ((v1_xxreal_0 esk23_0 → False) → False) → ((v1_xxreal_0 esk21_0 → False) → False) → ((v1_xxreal_0 esk20_0 → False) → False) → ((v1_xxreal_0 esk16_0 → False) → False) → ((v1_xcmplx_0 esk26_0 → False) → False) → ((v1_xcmplx_0 esk23_0 → False) → False) → ((v1_xcmplx_0 esk20_0 → False) → False) → ((v6_membered esk22_0 → False) → False) → ((v6_membered esk17_0 → False) → False) → ((v6_membered esk13_0 → False) → False) → ((v6_membered k4_ordinal1 → False) → False) → (((k4_xcmplx_0 np__0) = np__0 → False) → False) → ((o_0_0_xboole_0 = k1_xboole_0 → False) → False) → ((k6_numbers = k1_xboole_0 → False) → False) → ((k4_ordinal1 = k5_numbers → False) → False) → False
In Proofgold the corresponding term root is 2f4aa4... and proposition id is 5d4b1e...
Proof:
The rest of the proof is missing.