Theorem. (
t1_afproj)
∀k1_zfmisc_1 : set → set, ∀a_3_0_aff_4 : set → set → set → set, ∀esk11_4 : set → set → set → set → set, ∀esk12_4 : set → set → set → set → set, ∀r1_aff_1 : set → set → set → set → prop, ∀esk29_4 : set → set → set → set → set, ∀esk26_1 : set → set, ∀esk27_1 : set → set, ∀esk28_1 : set → set, ∀esk31_3 : set → set → set → set, ∀v2_diraf : set → prop, ∀esk3_2 : set → set → set, ∀esk4_2 : set → set → set, ∀esk5_2 : set → set → set, ∀esk6_2 : set → set → set, ∀esk30_2 : set → set → set, ∀v1_xboole_0 : set → prop, ∀v1_subset_1 : set → set → prop, ∀v2_struct_0 : set → prop, ∀esk22_1 : set → set, ∀l1_struct_0 : set → prop, ∀esk18_1 : set → set, ∀v13_struct_0 : set → set → prop, ∀np__1 : set, ∀esk25_1 : set → set, ∀esk23_1 : set → set, ∀esk1_0 : set, ∀esk2_0 : set, ∀esk20_0 : set, ∀esk16_0 : set, ∀esk9_0 : set, ∀esk8_0 : set, ∀esk10_1 : set → set, ∀esk19_1 : set → set, ∀esk21_1 : set → set, ∀v1_finset_1 : set → prop, ∀v8_struct_0 : set → prop, ∀esk15_1 : set → set, ∀esk24_1 : set → set, ∀k1_xboole_0 : set, ∀v1_zfmisc_1 : set → prop, ∀esk17_1 : set → set, ∀esk7_2 : set → set → set, ∀r1_tarski : set → set → prop, ∀k1_aff_1 : set → set → set → set, ∀k2_aff_4 : set → set → set → set, ∀v1_aff_4 : set → set → prop, ∀k1_aff_4 : set → set → set → set, ∀r5_aff_1 : set → set → set → prop, ∀r3_aff_1 : set → set → set → prop, ∀v1_aff_1 : set → set → prop, ∀r2_aff_1 : set → set → set → set → prop, ∀esk13_5 : set → set → set → set → set → set, ∀esk14_5 : set → set → set → set → set → set, ∀k2_aff_1 : set → set → set → set, ∀l1_analoaf : set → prop, ∀a_4_0_afproj : set → set → set → set → set, ∀r2_hidden : set → set → prop, ∀m1_subset_1 : set → set → prop, ∀u1_struct_0 : set → set, ∀v1_diraf : set → prop, ∀v7_struct_0 : set → prop, (∀X5 X3 X2 X4 X1, (v7_struct_0 X1 → False) → (r2_aff_1 X1 (esk13_5 X2 X1 X3 X4 X5) (esk14_5 X2 X1 X3 X4 X5) (k2_aff_1 X1 X3 X5) → False) → v1_diraf X1 → 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) → r2_hidden X2 (a_4_0_afproj X1 X3 X4 X5) → False) → (∀X5 X3 X1 X4 X2, (v7_struct_0 X2 → False) → (r2_hidden (esk14_5 X1 X2 X3 X4 X5) (k2_aff_1 X2 X3 X4) → False) → v1_diraf X2 → l1_analoaf X2 → m1_subset_1 X5 (u1_struct_0 X2) → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X3 (u1_struct_0 X2) → r2_hidden X1 (a_4_0_afproj X2 X3 X4 X5) → False) → (∀X5 X3 X1 X4 X2, (v7_struct_0 X2 → False) → (m1_subset_1 (esk14_5 X1 X2 X3 X4 X5) (u1_struct_0 X2) → False) → v1_diraf X2 → l1_analoaf X2 → m1_subset_1 X5 (u1_struct_0 X2) → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X3 (u1_struct_0 X2) → r2_hidden X1 (a_4_0_afproj X2 X3 X4 X5) → False) → (∀X5 X3 X1 X4 X2, (v7_struct_0 X2 → False) → (m1_subset_1 (esk13_5 X1 X2 X3 X4 X5) (u1_struct_0 X2) → False) → v1_diraf X2 → l1_analoaf X2 → m1_subset_1 X5 (u1_struct_0 X2) → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X3 (u1_struct_0 X2) → r2_hidden X1 (a_4_0_afproj X2 X3 X4 X5) → False) → (∀X5 X3 X1 X4 X2, ((esk13_5 X1 X2 X3 X4 X5) = X1 → False) → (v7_struct_0 X2 → False) → v1_diraf X2 → l1_analoaf X2 → m1_subset_1 X5 (u1_struct_0 X2) → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X3 (u1_struct_0 X2) → r2_hidden X1 (a_4_0_afproj X2 X3 X4 X5) → False) → (∀X4 X2 X3 X1, (v7_struct_0 X1 → False) → (r2_aff_1 X1 (esk11_4 X2 X1 X3 X4) (esk12_4 X2 X1 X3 X4) X3 → False) → v1_diraf X1 → l1_analoaf X1 → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → r2_hidden X2 (a_3_0_aff_4 X1 X3 X4) → False) → (∀X3 X6 X7 X5 X4 X1 X2, (v7_struct_0 X2 → False) → (r2_hidden X3 (a_4_0_afproj X2 X5 X7 X6) → False) → X1 = X3 → v1_diraf X2 → l1_analoaf X2 → m1_subset_1 X7 (u1_struct_0 X2) → m1_subset_1 X6 (u1_struct_0 X2) → m1_subset_1 X5 (u1_struct_0 X2) → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X1 (u1_struct_0 X2) → r2_hidden X4 (k2_aff_1 X2 X5 X7) → r2_aff_1 X2 X1 X4 (k2_aff_1 X2 X5 X6) → False) → (∀X4 X2 X3 X1, (v7_struct_0 X1 → False) → (m1_subset_1 (esk29_4 X1 X2 X3 X4) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → v1_diraf X1 → l1_analoaf 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) → r1_aff_1 X1 X2 X3 X4 → False) → (∀X4 X2 X3 X1, (v7_struct_0 X1 → False) → (v1_aff_1 (esk29_4 X1 X2 X3 X4) X1 → False) → v1_diraf X1 → l1_analoaf 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) → r1_aff_1 X1 X2 X3 X4 → False) → (∀X4 X1 X3 X2, (v7_struct_0 X2 → False) → (r2_hidden X1 (esk29_4 X2 X1 X3 X4) → False) → v1_diraf X2 → l1_analoaf X2 → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X3 (u1_struct_0 X2) → m1_subset_1 X1 (u1_struct_0 X2) → r1_aff_1 X2 X1 X3 X4 → False) → (∀X4 X1 X3 X2, (v7_struct_0 X2 → False) → (r2_hidden X1 (esk29_4 X2 X3 X1 X4) → False) → v1_diraf X2 → l1_analoaf X2 → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X3 (u1_struct_0 X2) → m1_subset_1 X1 (u1_struct_0 X2) → r1_aff_1 X2 X3 X1 X4 → False) → (∀X4 X1 X3 X2, (v7_struct_0 X2 → False) → (r2_hidden X1 (esk29_4 X2 X3 X4 X1) → False) → v1_diraf X2 → l1_analoaf X2 → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X3 (u1_struct_0 X2) → m1_subset_1 X1 (u1_struct_0 X2) → r1_aff_1 X2 X3 X4 X1 → False) → (∀X4 X1 X3 X2, (v7_struct_0 X2 → False) → (m1_subset_1 (esk12_4 X1 X2 X3 X4) (u1_struct_0 X2) → False) → v1_diraf X2 → l1_analoaf X2 → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2)) → r2_hidden X1 (a_3_0_aff_4 X2 X3 X4) → False) → (∀X4 X1 X3 X2, (v7_struct_0 X2 → False) → (m1_subset_1 (esk11_4 X1 X2 X3 X4) (u1_struct_0 X2) → False) → v1_diraf X2 → l1_analoaf X2 → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2)) → r2_hidden X1 (a_3_0_aff_4 X2 X3 X4) → False) → (∀X4 X1 X3 X2, (v7_struct_0 X2 → False) → (r2_hidden (esk12_4 X1 X2 X3 X4) X4 → False) → v1_diraf X2 → l1_analoaf X2 → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2)) → r2_hidden X1 (a_3_0_aff_4 X2 X3 X4) → False) → (∀X3 X5 X6 X4 X1 X2, (v7_struct_0 X2 → False) → (r2_hidden X3 (a_3_0_aff_4 X2 X5 X6) → False) → X1 = X3 → v1_diraf X2 → l1_analoaf X2 → r2_hidden X4 X6 → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X1 (u1_struct_0 X2) → r2_aff_1 X2 X1 X4 X5 → m1_subset_1 X6 (k1_zfmisc_1 (u1_struct_0 X2)) → m1_subset_1 X5 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X5 X3 X2 X4 X1, (v7_struct_0 X1 → False) → (r2_aff_1 X1 X2 X3 X5 → False) → v1_diraf X1 → l1_analoaf X1 → r2_hidden X3 X4 → r2_hidden X2 X4 → r3_aff_1 X1 X4 X5 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → m1_subset_1 X5 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X4 X1 X3 X2, ((esk11_4 X1 X2 X3 X4) = X1 → False) → (v7_struct_0 X2 → False) → v1_diraf X2 → l1_analoaf X2 → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2)) → r2_hidden X1 (a_3_0_aff_4 X2 X3 X4) → False) → (∀X5 X4 X3 X1 X2, (v7_struct_0 X2 → False) → (r1_aff_1 X2 X3 X4 X5 → False) → v1_diraf X2 → l1_analoaf X2 → r2_hidden X5 X1 → r2_hidden X4 X1 → r2_hidden X3 X1 → v1_aff_1 X1 X2 → m1_subset_1 X5 (u1_struct_0 X2) → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X3 (u1_struct_0 X2) → m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X1, (v7_struct_0 X1 → False) → v1_diraf X1 → l1_analoaf X1 → r1_aff_1 X1 (esk26_1 X1) (esk27_1 X1) (esk28_1 X1) → False) → (∀X2 X4 X3 X1, (v7_struct_0 X1 → False) → (r5_aff_1 X1 X2 X4 → False) → v1_diraf X1 → l1_analoaf X1 → r5_aff_1 X1 X3 X4 → r5_aff_1 X1 X2 X3 → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X4 X3 X1, (v7_struct_0 X1 → False) → (r5_aff_1 X1 X2 X4 → False) → v1_diraf X1 → l1_analoaf X1 → r5_aff_1 X1 X4 X3 → r5_aff_1 X1 X2 X3 → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X3 X4 X2 X1, (v7_struct_0 X1 → False) → (r5_aff_1 X1 X3 X4 → False) → v1_diraf X1 → l1_analoaf X1 → r5_aff_1 X1 X2 X4 → r5_aff_1 X1 X2 X3 → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X3 X4 X2 X1, (v7_struct_0 X1 → False) → (r5_aff_1 X1 X3 X4 → False) → v1_diraf X1 → l1_analoaf X1 → r5_aff_1 X1 X4 X2 → r5_aff_1 X1 X2 X3 → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X4 X3 X1 X2, (v7_struct_0 X2 → False) → (v1_aff_4 X4 X2 → False) → (r5_aff_1 X2 X1 X3 → False) → X4 = (k1_aff_4 X2 X1 X3) → v1_diraf X2 → l1_analoaf X2 → v1_aff_1 X3 X2 → v1_aff_1 X1 X2 → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2)) → m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X2 X3 X1, (v7_struct_0 X1 → False) → (r5_aff_1 X1 X2 X3 → False) → (m1_subset_1 (esk31_3 X1 X2 X3) (u1_struct_0 X1) → False) → v1_diraf X1 → l1_analoaf X1 → v2_diraf X1 → v1_aff_1 X3 X1 → v1_aff_1 X2 X1 → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X3 X1, (v7_struct_0 X1 → False) → (r5_aff_1 X1 X2 X3 → False) → (r2_hidden (esk31_3 X1 X2 X3) X2 → False) → v1_diraf X1 → l1_analoaf X1 → v2_diraf X1 → v1_aff_1 X3 X1 → v1_aff_1 X2 X1 → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X3 X1, (v7_struct_0 X1 → False) → (r5_aff_1 X1 X2 X3 → False) → (r2_hidden (esk31_3 X1 X2 X3) X3 → False) → v1_diraf X1 → l1_analoaf X1 → v2_diraf X1 → v1_aff_1 X3 X1 → v1_aff_1 X2 X1 → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X1 X4 X3, (X2 = (k2_aff_4 X3 X1 X4) → False) → (v7_struct_0 X3 → False) → v1_diraf X3 → l1_analoaf X3 → r2_hidden X1 X2 → v1_aff_1 X4 X3 → r5_aff_1 X3 X4 X2 → m1_subset_1 X1 (u1_struct_0 X3) → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X3)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X3)) → False) → (∀X2 X3 X1, (v7_struct_0 X1 → False) → (r1_aff_1 X1 X2 X2 X3 → False) → v1_diraf X1 → l1_analoaf X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X3 X1, (v7_struct_0 X1 → False) → (r1_aff_1 X1 X2 X3 X2 → False) → v1_diraf X1 → l1_analoaf X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X3 X1, (v7_struct_0 X1 → False) → (r1_aff_1 X1 X2 X3 X3 → False) → v1_diraf X1 → l1_analoaf X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X3 X4 X1, (v7_struct_0 X1 → False) → (r5_aff_1 X1 X2 X3 → False) → X3 = (k2_aff_4 X1 X4 X2) → v1_diraf X1 → l1_analoaf X1 → v1_aff_1 X2 X1 → m1_subset_1 X4 (u1_struct_0 X1) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X1 X2 X3 X4, (X3 = X4 → False) → (v7_struct_0 X1 → False) → v1_diraf X1 → l1_analoaf X1 → r2_hidden X2 X4 → r2_hidden X2 X3 → r5_aff_1 X1 X3 X4 → m1_subset_1 X2 (u1_struct_0 X1) → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X1 X4 X3, (v7_struct_0 X3 → False) → (r2_hidden X1 X2 → False) → X2 = (k2_aff_4 X3 X1 X4) → v1_diraf X3 → l1_analoaf X3 → v1_aff_1 X4 X3 → m1_subset_1 X1 (u1_struct_0 X3) → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X3)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X3)) → False) → (∀X2 X3 X1, (v7_struct_0 X1 → False) → (r3_aff_1 X1 X2 X3 → False) → v1_diraf X1 → l1_analoaf X1 → r5_aff_1 X1 X2 X3 → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X3 X1, (v7_struct_0 X1 → False) → (r5_aff_1 X1 X2 X3 → False) → v1_diraf X1 → l1_analoaf X1 → r3_aff_1 X1 X2 X3 → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X3 X1, (v7_struct_0 X1 → False) → (r5_aff_1 X1 X3 X2 → False) → v1_diraf X1 → l1_analoaf X1 → r5_aff_1 X1 X2 X3 → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X3 X1, (v7_struct_0 X1 → False) → (m1_subset_1 (k1_aff_4 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → v1_diraf X1 → l1_analoaf X1 → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X1, (v7_struct_0 X1 → False) → v1_diraf X1 → l1_analoaf X1 → v1_aff_4 X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → r5_aff_1 X1 (esk3_2 X1 X2) (esk4_2 X1 X2) → False) → (∀X3 X2 X1, (v7_struct_0 X1 → False) → (v1_aff_1 (k2_aff_4 X1 X2 X3) X1 → False) → v1_diraf X1 → l1_analoaf X1 → v1_aff_1 X3 X1 → m1_subset_1 X2 (u1_struct_0 X1) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X3 X2 X1, (v7_struct_0 X1 → False) → (m1_subset_1 (k2_aff_4 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → v1_diraf X1 → l1_analoaf X1 → m1_subset_1 X2 (u1_struct_0 X1) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X4 X1 X3, (X1 = X3 → False) → (v7_struct_0 X2 → False) → (v1_aff_1 X4 X2 → False) → X4 = (k2_aff_1 X2 X1 X3) → v1_diraf X2 → l1_analoaf X2 → m1_subset_1 X3 (u1_struct_0 X2) → m1_subset_1 X1 (u1_struct_0 X2) → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X2 X3 X1, ((a_3_0_aff_4 X1 X2 X3) = (k1_aff_4 X1 X2 X3) → False) → (v7_struct_0 X1 → False) → v1_diraf X1 → l1_analoaf X1 → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X3 X1, (v7_struct_0 X1 → False) → (m1_subset_1 (k1_aff_1 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → v1_diraf X1 → l1_analoaf X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X3 X1, (v7_struct_0 X1 → False) → (m1_subset_1 (k2_aff_1 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → v1_diraf X1 → l1_analoaf X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X1 X3 X2, (v7_struct_0 X2 → False) → (r2_hidden X1 (k2_aff_1 X2 X1 X3) → False) → v1_diraf X2 → l1_analoaf X2 → m1_subset_1 X3 (u1_struct_0 X2) → m1_subset_1 X1 (u1_struct_0 X2) → False) → (∀X1 X3 X2, (v7_struct_0 X2 → False) → (r2_hidden X1 (k2_aff_1 X2 X3 X1) → False) → v1_diraf X2 → l1_analoaf X2 → m1_subset_1 X3 (u1_struct_0 X2) → m1_subset_1 X1 (u1_struct_0 X2) → False) → (∀X1 X2, ((k1_aff_4 X2 (esk3_2 X2 X1) (esk4_2 X2 X1)) = X1 → False) → (v7_struct_0 X2 → False) → v1_diraf X2 → l1_analoaf X2 → v1_aff_4 X1 X2 → m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X1 X2, ((k2_aff_1 X2 (esk5_2 X2 X1) (esk6_2 X2 X1)) = X1 → False) → (v7_struct_0 X2 → False) → v1_diraf X2 → l1_analoaf X2 → v1_aff_1 X1 X2 → m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X2 X3 X1, ((k1_aff_1 X1 X2 X3) = (k2_aff_1 X1 X2 X3) → False) → (v7_struct_0 X1 → False) → v1_diraf X1 → l1_analoaf X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X3 X1, ((k2_aff_1 X1 X2 X3) = (k2_aff_1 X1 X3 X2) → False) → (v7_struct_0 X1 → False) → v1_diraf X1 → l1_analoaf X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X1, (v7_struct_0 X1 → False) → (m1_subset_1 (esk4_2 X1 X2) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → v1_diraf X1 → l1_analoaf X1 → v1_aff_4 X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X1, (v7_struct_0 X1 → False) → (m1_subset_1 (esk3_2 X1 X2) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → v1_diraf X1 → l1_analoaf X1 → v1_aff_4 X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X1, (v7_struct_0 X1 → False) → (m1_subset_1 (esk6_2 X1 X2) (u1_struct_0 X1) → False) → v1_diraf X1 → l1_analoaf X1 → v1_aff_1 X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X1, (v7_struct_0 X1 → False) → (m1_subset_1 (esk5_2 X1 X2) (u1_struct_0 X1) → False) → v1_diraf X1 → l1_analoaf X1 → v1_aff_1 X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X1, (v7_struct_0 X1 → False) → (esk6_2 X1 X2) = (esk5_2 X1 X2) → v1_diraf X1 → l1_analoaf X1 → v1_aff_1 X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X1, (v7_struct_0 X1 → False) → (v1_aff_1 (esk4_2 X1 X2) X1 → False) → v1_diraf X1 → l1_analoaf X1 → v1_aff_4 X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X1, (v7_struct_0 X1 → False) → (v1_aff_1 (esk3_2 X1 X2) X1 → False) → v1_diraf X1 → l1_analoaf X1 → v1_aff_4 X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X1 X3 X2, r2_hidden X3 X2 → r2_hidden X1 X2 → r2_hidden X1 (esk30_2 X3 X2) → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → r2_hidden (esk7_2 X1 X2) X2 → False) → (∀X2 X1 X3, (m1_subset_1 X1 X3 → False) → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X2 X1, (r2_hidden (esk30_2 X1 X2) X2 → False) → r2_hidden X1 X2 → False) → (∀X2 X1, v1_xboole_0 X1 → v1_subset_1 X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1 X3, v1_xboole_0 X3 → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X1 X3 X2, (r2_hidden X3 X2 → False) → r2_hidden X3 X1 → r1_tarski X1 X2 → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (v1_subset_1 X2 X1 → False) → v1_xboole_0 X2 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (v1_subset_1 X2 X1 → False) → v1_xboole_0 X2 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (r1_tarski X1 X2 → False) → (r2_hidden (esk7_2 X1 X2) X1 → False) → False) → (∀X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk22_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, (v7_struct_0 X1 → False) → (m1_subset_1 (esk18_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_struct_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) → (∀X1, (v7_struct_0 X1 → False) → (m1_subset_1 (esk28_1 X1) (u1_struct_0 X1) → False) → v1_diraf X1 → l1_analoaf X1 → False) → (∀X1, (v7_struct_0 X1 → False) → (m1_subset_1 (esk27_1 X1) (u1_struct_0 X1) → False) → v1_diraf X1 → l1_analoaf X1 → False) → (∀X1, (v7_struct_0 X1 → False) → (m1_subset_1 (esk26_1 X1) (u1_struct_0 X1) → False) → v1_diraf X1 → l1_analoaf X1 → False) → (∀X2 X1, r2_hidden X2 X1 → r2_hidden X1 X2 → False) → (∀X1 X2, (v1_zfmisc_1 X2 → False) → v1_zfmisc_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → v1_xboole_0 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) → (∀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, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v13_struct_0 X1 k1_xboole_0 → False) → (∀X1, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v13_struct_0 X1 np__1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v13_struct_0 X1 np__1 → False) → v7_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → (m1_subset_1 (esk25_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk24_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk23_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk15_1 X1) (k1_zfmisc_1 X1) → False) → 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, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v1_xboole_0 (esk22_1 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 (u1_struct_0 X1) → False) → (∀X1, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v1_zfmisc_1 (esk18_1 X1) → False) → (∀X1, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v1_zfmisc_1 (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_xboole_0 X1 → False) → (v1_subset_1 (esk23_1 X1) X1 → False) → 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) → v7_struct_0 X1 → l1_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 (esk17_1 X1) → False) → l1_struct_0 X1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_zfmisc_1 (esk25_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk24_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk15_1 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, (v8_struct_0 X1 → False) → v7_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v8_struct_0 X1 → False) → v7_struct_0 X1 → l1_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, (r1_tarski X1 X2 → False) → X1 = X2 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → X1 = X2 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_zfmisc_1 (esk24_1 X1) → False) → False) → (∀X1, (l1_struct_0 X1 → False) → l1_analoaf X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (∀X1, v1_subset_1 (esk21_1 X1) X1 → False) → (v1_aff_4 esk2_0 esk1_0 → False) → (∀X1, v1_xboole_0 (k1_zfmisc_1 X1) → False) → (v1_xboole_0 esk20_0 → False) → (v1_xboole_0 np__1 → False) → (v7_struct_0 esk1_0 → False) → (v7_struct_0 esk1_0 → False) → (∀X1, (m1_subset_1 (esk21_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (m1_subset_1 (esk19_1 X1) (k1_zfmisc_1 X1) → False) → False) → ((m1_subset_1 esk2_0 (k1_zfmisc_1 (u1_struct_0 esk1_0)) → False) → False) → (∀X1, (m1_subset_1 (esk10_1 X1) X1 → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → (∀X1, (v1_xboole_0 (esk19_1 X1) → False) → False) → ((v1_xboole_0 esk16_0 → False) → False) → ((v1_xboole_0 k1_xboole_0 → False) → False) → ((l1_struct_0 esk9_0 → False) → False) → ((v2_diraf esk1_0 → False) → False) → ((l1_analoaf esk8_0 → False) → False) → ((l1_analoaf esk1_0 → False) → False) → ((l1_analoaf esk1_0 → False) → False) → ((v1_diraf esk1_0 → False) → False) → ((v1_diraf esk1_0 → False) → False) → (((u1_struct_0 esk1_0) = esk2_0 → False) → False) → False