Theorem. (
l16_afvect01)
∀k1_zfmisc_1 : set → set, ∀v1_analoaf : set → prop, ∀v7_struct_0 : set → prop, ∀esk15_1 : set → set, ∀l1_struct_0 : set → prop, ∀esk14_1 : set → set, ∀v8_struct_0 : set → prop, ∀v1_finset_1 : set → prop, ∀esk9_0 : set, ∀esk10_0 : set, ∀esk13_0 : set, ∀v1_afvect0 : set → prop, ∀esk11_1 : set → set, ∀esk12_0 : set, ∀esk16_0 : set, ∀v1_zfmisc_1 : set → prop, ∀k1_xboole_0 : set, ∀np__1 : set, ∀v13_struct_0 : set → set → prop, ∀r1_tarski : set → set → prop, ∀esk17_1 : set → set, ∀v1_xboole_0 : set → prop, ∀k4_tarski : set → set → set, ∀esk5_0 : set, ∀esk8_0 : set, ∀esk7_0 : set, ∀esk6_0 : set, ∀c4__afvect01 : set, ∀g1_analoaf : set → set → set, ∀o_0_0_afvect01 : set, ∀esk2_0 : set, ∀esk3_0 : set, ∀esk4_0 : set, ∀esk1_0 : set, ∀r2_diraf : set → set → set → set → set → prop, ∀r2_analoaf : set → set → set → set → set → prop, ∀u1_struct_0 : set → set, ∀m1_subset_1 : set → set → prop, ∀u1_analoaf : set → set, ∀k2_zfmisc_1 : set → set → set, ∀k1_domain_1 : set → set → set → set → set, ∀r2_hidden : set → set → prop, ∀l1_analoaf : set → prop, ∀v2_struct_0 : set → prop, (∀X4 X2 X3 X5 X1, (v2_struct_0 X1 → False) → (r2_analoaf X1 X2 X3 X4 X5 → False) → l1_analoaf X1 → m1_subset_1 X5 (u1_struct_0 X1) → m1_subset_1 X4 (u1_struct_0 X1) → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → r2_hidden (k1_domain_1 (k2_zfmisc_1 (u1_struct_0 X1) (u1_struct_0 X1)) (k2_zfmisc_1 (u1_struct_0 X1) (u1_struct_0 X1)) (k1_domain_1 (u1_struct_0 X1) (u1_struct_0 X1) X2 X3) (k1_domain_1 (u1_struct_0 X1) (u1_struct_0 X1) X4 X5)) (u1_analoaf X1) → False) → (∀X4 X2 X3 X5 X1, (v2_struct_0 X1 → False) → (r2_hidden (k1_domain_1 (k2_zfmisc_1 (u1_struct_0 X1) (u1_struct_0 X1)) (k2_zfmisc_1 (u1_struct_0 X1) (u1_struct_0 X1)) (k1_domain_1 (u1_struct_0 X1) (u1_struct_0 X1) X2 X3) (k1_domain_1 (u1_struct_0 X1) (u1_struct_0 X1) X4 X5)) (u1_analoaf X1) → False) → l1_analoaf X1 → m1_subset_1 X5 (u1_struct_0 X1) → m1_subset_1 X4 (u1_struct_0 X1) → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → r2_analoaf X1 X2 X3 X4 X5 → False) → (r2_diraf o_0_0_afvect01 esk1_0 esk2_0 esk3_0 esk4_0 → r2_analoaf (g1_analoaf (u1_struct_0 o_0_0_afvect01) c4__afvect01) esk5_0 esk6_0 esk7_0 esk8_0 → False) → ((r2_diraf o_0_0_afvect01 esk1_0 esk2_0 esk3_0 esk4_0 → False) → (r2_analoaf (g1_analoaf (u1_struct_0 o_0_0_afvect01) c4__afvect01) esk5_0 esk6_0 esk7_0 esk8_0 → False) → False) → (∀X3 X1 X2 X4, (r2_hidden (k4_tarski (k4_tarski X1 X2) (k4_tarski X3 X4)) c4__afvect01 → False) → m1_subset_1 X4 (u1_struct_0 o_0_0_afvect01) → m1_subset_1 X3 (u1_struct_0 o_0_0_afvect01) → m1_subset_1 X2 (u1_struct_0 o_0_0_afvect01) → m1_subset_1 X1 (u1_struct_0 o_0_0_afvect01) → r2_diraf o_0_0_afvect01 X1 X2 X3 X4 → False) → (∀X3 X1 X2 X4, (r2_diraf o_0_0_afvect01 X1 X2 X3 X4 → False) → m1_subset_1 X4 (u1_struct_0 o_0_0_afvect01) → m1_subset_1 X3 (u1_struct_0 o_0_0_afvect01) → m1_subset_1 X2 (u1_struct_0 o_0_0_afvect01) → m1_subset_1 X1 (u1_struct_0 o_0_0_afvect01) → r2_hidden (k4_tarski (k4_tarski X1 X2) (k4_tarski X3 X4)) c4__afvect01 → False) → (∀X1 X4 X3 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m1_subset_1 (k1_domain_1 X1 X2 X3 X4) (k2_zfmisc_1 X1 X2) → False) → m1_subset_1 X4 X2 → m1_subset_1 X3 X1 → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → v2_struct_0 (g1_analoaf X1 X2) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) (k2_zfmisc_1 X1 X1))) → False) → (∀X1, (m1_subset_1 (u1_analoaf X1) (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 (u1_struct_0 X1) (u1_struct_0 X1)) (k2_zfmisc_1 (u1_struct_0 X1) (u1_struct_0 X1)))) → False) → l1_analoaf X1 → False) → (∀X3 X4 X1 X2, (X1 = X2 → False) → (g1_analoaf X1 X3) = (g1_analoaf X2 X4) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) (k2_zfmisc_1 X1 X1))) → False) → (∀X3 X4 X1 X2, (X1 = X2 → False) → (g1_analoaf X3 X1) = (g1_analoaf X4 X2) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X3 X3) (k2_zfmisc_1 X3 X3))) → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (v1_analoaf (g1_analoaf X1 X2) → False) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) (k2_zfmisc_1 X1 X1))) → False) → (∀X1 X2, (v1_analoaf (g1_analoaf X1 X2) → False) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) (k2_zfmisc_1 X1 X1))) → False) → (∀X1 X2, (l1_analoaf (g1_analoaf X1 X2) → False) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) (k2_zfmisc_1 X1 X1))) → False) → (∀X1 X4 X3 X2, ((k1_domain_1 X1 X2 X3 X4) = (k4_tarski X3 X4) → False) → (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → m1_subset_1 X4 X2 → m1_subset_1 X3 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 X3, v1_xboole_0 X3 → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X1, (v7_struct_0 X1 → False) → (m1_subset_1 (esk15_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_struct_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk17_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_struct_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk14_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_struct_0 X1 → 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, (m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → r1_tarski X1 X2 → False) → (∀X1, ((g1_analoaf (u1_struct_0 X1) (u1_analoaf X1)) = X1 → False) → l1_analoaf X1 → v1_analoaf X1 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden X1 X2 → False) → m1_subset_1 X1 X2 → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X1, l1_struct_0 X1 → v2_struct_0 X1 → v13_struct_0 X1 np__1 → False) → (∀X1, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v13_struct_0 X1 np__1 → False) → (∀X1, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v13_struct_0 X1 k1_xboole_0 → False) → (∀X1, (v2_struct_0 X1 → False) → (v13_struct_0 X1 np__1 → False) → l1_struct_0 X1 → v7_struct_0 X1 → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X1, (v8_struct_0 X1 → False) → l1_struct_0 X1 → v1_finset_1 (u1_struct_0 X1) → False) → (∀X1, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v1_zfmisc_1 (esk15_1 X1) → False) → (∀X1, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v1_zfmisc_1 (u1_struct_0 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v1_xboole_0 (esk17_1 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v1_xboole_0 (esk14_1 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v1_xboole_0 (u1_struct_0 X1) → False) → (∀X1, (v13_struct_0 X1 k1_xboole_0 → False) → l1_struct_0 X1 → v2_struct_0 X1 → False) → (∀X1, (v1_finset_1 (u1_struct_0 X1) → False) → l1_struct_0 X1 → v8_struct_0 X1 → False) → (∀X1, (v1_zfmisc_1 (u1_struct_0 X1) → False) → l1_struct_0 X1 → v7_struct_0 X1 → False) → (∀X1, (v1_xboole_0 (u1_struct_0 X1) → False) → l1_struct_0 X1 → v2_struct_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v1_zfmisc_1 (esk14_1 X1) → False) → l1_struct_0 X1 → False) → (∀X1, (v8_struct_0 X1 → False) → l1_struct_0 X1 → v7_struct_0 X1 → False) → (∀X1, (v8_struct_0 X1 → False) → l1_struct_0 X1 → v7_struct_0 X1 → False) → (∀X1, (v8_struct_0 X1 → False) → l1_struct_0 X1 → v2_struct_0 X1 → False) → (∀X1, (v8_struct_0 X1 → False) → l1_struct_0 X1 → v2_struct_0 X1 → False) → (∀X1, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v2_struct_0 X1 → False) → (∀X1, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v2_struct_0 X1 → False) → (∀X1, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v2_struct_0 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, (l1_struct_0 X1 → False) → l1_analoaf X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (v1_xboole_0 esk16_0 → False) → (v1_xboole_0 np__1 → False) → (v7_struct_0 esk12_0 → False) → (v7_struct_0 o_0_0_afvect01 → False) → (v2_struct_0 esk12_0 → False) → ((m1_subset_1 c4__afvect01 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 (u1_struct_0 o_0_0_afvect01) (u1_struct_0 o_0_0_afvect01)) (k2_zfmisc_1 (u1_struct_0 o_0_0_afvect01) (u1_struct_0 o_0_0_afvect01)))) → False) → False) → ((m1_subset_1 esk8_0 (u1_struct_0 (g1_analoaf (u1_struct_0 o_0_0_afvect01) c4__afvect01)) → False) → False) → ((m1_subset_1 esk7_0 (u1_struct_0 (g1_analoaf (u1_struct_0 o_0_0_afvect01) c4__afvect01)) → False) → False) → ((m1_subset_1 esk6_0 (u1_struct_0 (g1_analoaf (u1_struct_0 o_0_0_afvect01) c4__afvect01)) → False) → False) → ((m1_subset_1 esk5_0 (u1_struct_0 (g1_analoaf (u1_struct_0 o_0_0_afvect01) c4__afvect01)) → False) → False) → (∀X1, (m1_subset_1 (esk11_1 X1) X1 → False) → False) → ((m1_subset_1 esk4_0 (u1_struct_0 o_0_0_afvect01) → False) → False) → ((m1_subset_1 esk3_0 (u1_struct_0 o_0_0_afvect01) → False) → False) → ((m1_subset_1 esk2_0 (u1_struct_0 o_0_0_afvect01) → False) → False) → ((m1_subset_1 esk1_0 (u1_struct_0 o_0_0_afvect01) → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → ((v1_afvect0 esk12_0 → False) → False) → ((v1_afvect0 o_0_0_afvect01 → False) → False) → ((v1_xboole_0 esk13_0 → False) → False) → ((v1_xboole_0 k1_xboole_0 → False) → False) → ((l1_struct_0 esk10_0 → False) → False) → ((v1_analoaf esk12_0 → False) → False) → ((l1_analoaf esk12_0 → False) → False) → ((l1_analoaf esk9_0 → False) → False) → ((l1_analoaf o_0_0_afvect01 → False) → False) → ((esk4_0 = esk8_0 → False) → False) → ((esk3_0 = esk7_0 → False) → False) → ((esk2_0 = esk6_0 → False) → False) → ((esk5_0 = esk1_0 → False) → False) → False