Theorem. (
l22_substlat)
∀esk16_5 : set → set → set → set → set → set, ∀esk15_5 : set → set → set → set → set → set, ∀k2_xboole_0 : set → set → set, ∀a_4_0_substlat : set → set → set → set → set, ∀m2_subset_1 : set → set → set → prop, ∀k4_subset_1 : set → set → set → set, ∀v1_xboole_0 : set → prop, ∀v1_partfun1 : set → set → prop, ∀v5_relat_1 : set → set → prop, ∀esk8_2 : set → set → set, ∀esk28_2 : set → set → set, ∀v4_funct_1 : set → prop, ∀esk23_1 : set → set, ∀v3_funct_1 : set → prop, ∀v2_finset_1 : set → prop, ∀esk21_2 : set → set → set, ∀esk30_0 : set, ∀esk35_0 : set, ∀esk27_0 : set, ∀esk17_0 : set, ∀esk19_2 : set → set → set, ∀esk29_2 : set → set → set, ∀esk7_1 : set → set, ∀esk24_0 : set, ∀o_0_0_xboole_0 : set, ∀esk22_0 : set, ∀esk18_0 : set, ∀esk32_2 : set → set → set, ∀esk25_2 : set → set → set, ∀esk20_2 : set → set → set, ∀esk26_0 : set, ∀esk34_0 : set, ∀esk36_0 : set, ∀k1_xboole_0 : set, ∀v3_finsub_1 : set → prop, ∀v1_finsub_1 : set → prop, ∀v2_funct_1 : set → prop, ∀esk33_1 : set → set, ∀v1_zfmisc_1 : set → prop, ∀v5_finset_1 : set → prop, ∀esk31_2 : set → set → set, ∀k1_funct_4 : set → set → set, ∀esk38_2 : set → set → set, ∀v4_relat_1 : set → set → prop, ∀v4_finsub_1 : set → prop, ∀esk6_2 : set → set → set, ∀esk9_3 : set → set → set → set, ∀v1_funct_1 : set → prop, ∀k2_zfmisc_1 : set → set → set, ∀k1_zfmisc_1 : set → set, ∀r1_relset_1 : set → set → set → set → prop, ∀v1_relat_1 : set → prop, ∀esk37_4 : set → set → set → set → set, ∀esk5_0 : set, ∀esk1_0 : set, ∀esk4_0 : set, ∀esk3_0 : set, ∀k3_substlat : set → set → set → set, ∀esk2_0 : set, ∀k4_substlat : set → set → set → set → set, ∀esk13_4 : set → set → set → set → set, ∀esk11_4 : set → set → set → set → set, ∀esk12_4 : set → set → set → set → set, ∀esk10_4 : set → set → set → set → set, ∀k1_substlat : set → set → set, ∀r1_partfun1 : set → set → prop, ∀v1_finset_1 : set → prop, ∀r1_tarski : set → set → prop, ∀k5_finsub_1 : set → set, ∀m1_subset_1 : set → set → prop, ∀k4_partfun1 : set → set → set, ∀esk14_5 : set → set → set → set → set → set, ∀r2_hidden : set → set → prop, ∀a_3_0_substlat : set → set → set → set, (∀X5 X4 X3 X2 X1, (r2_hidden X1 (a_3_0_substlat X2 X3 X4) → False) → X1 = X5 → (esk14_5 X1 X2 X3 X4 X5) = X5 → v1_finset_1 X5 → m1_subset_1 X5 (k4_partfun1 X2 X3) → m1_subset_1 X4 (k5_finsub_1 (k4_partfun1 X2 X3)) → r2_hidden (esk14_5 X1 X2 X3 X4 X5) X4 → r1_tarski (esk14_5 X1 X2 X3 X4 X5) X5 → False) → (∀X4 X1 X3 X2 X5, ((k2_xboole_0 (esk15_5 X1 X2 X3 X4 X5) (esk16_5 X1 X2 X3 X4 X5)) = X1 → False) → m1_subset_1 X5 (k5_finsub_1 (k4_partfun1 X2 X3)) → m1_subset_1 X4 (k5_finsub_1 (k4_partfun1 X2 X3)) → r2_hidden X1 (a_4_0_substlat X2 X3 X4 X5) → False) → (∀X4 X1 X3 X2 X5, (r1_partfun1 (esk15_5 X1 X2 X3 X4 X5) (esk16_5 X1 X2 X3 X4 X5) → False) → m1_subset_1 X5 (k5_finsub_1 (k4_partfun1 X2 X3)) → m1_subset_1 X4 (k5_finsub_1 (k4_partfun1 X2 X3)) → r2_hidden X1 (a_4_0_substlat X2 X3 X4 X5) → False) → (∀X5 X4 X3 X2 X1, ((esk14_5 X1 X2 X3 X4 X5) = X5 → False) → (r2_hidden X1 (a_3_0_substlat X2 X3 X4) → False) → (r1_tarski (esk14_5 X1 X2 X3 X4 X5) X5 → False) → X1 = X5 → v1_finset_1 X5 → m1_subset_1 X5 (k4_partfun1 X2 X3) → m1_subset_1 X4 (k5_finsub_1 (k4_partfun1 X2 X3)) → False) → (∀X5 X4 X3 X2 X1, ((esk14_5 X1 X2 X3 X4 X5) = X5 → False) → (r2_hidden X1 (a_3_0_substlat X2 X3 X4) → False) → (r2_hidden (esk14_5 X1 X2 X3 X4 X5) X4 → False) → X1 = X5 → v1_finset_1 X5 → m1_subset_1 X5 (k4_partfun1 X2 X3) → m1_subset_1 X4 (k5_finsub_1 (k4_partfun1 X2 X3)) → False) → (∀X4 X1 X3 X2 X5, (m1_subset_1 (esk16_5 X1 X2 X3 X4 X5) (k4_partfun1 X2 X3) → False) → m1_subset_1 X5 (k5_finsub_1 (k4_partfun1 X2 X3)) → m1_subset_1 X4 (k5_finsub_1 (k4_partfun1 X2 X3)) → r2_hidden X1 (a_4_0_substlat X2 X3 X4 X5) → False) → (∀X4 X1 X3 X2 X5, (m1_subset_1 (esk15_5 X1 X2 X3 X4 X5) (k4_partfun1 X2 X3) → False) → m1_subset_1 X5 (k5_finsub_1 (k4_partfun1 X2 X3)) → m1_subset_1 X4 (k5_finsub_1 (k4_partfun1 X2 X3)) → r2_hidden X1 (a_4_0_substlat X2 X3 X4 X5) → False) → (∀X4 X1 X3 X2 X5, (r2_hidden (esk16_5 X1 X2 X3 X4 X5) X5 → False) → m1_subset_1 X5 (k5_finsub_1 (k4_partfun1 X2 X3)) → m1_subset_1 X4 (k5_finsub_1 (k4_partfun1 X2 X3)) → r2_hidden X1 (a_4_0_substlat X2 X3 X4 X5) → False) → (∀X4 X1 X3 X2 X5, (r2_hidden (esk15_5 X1 X2 X3 X4 X5) X4 → False) → m1_subset_1 X5 (k5_finsub_1 (k4_partfun1 X2 X3)) → m1_subset_1 X4 (k5_finsub_1 (k4_partfun1 X2 X3)) → r2_hidden X1 (a_4_0_substlat X2 X3 X4 X5) → False) → (∀X5 X4 X3 X2 X1, (r2_hidden X1 (a_3_0_substlat X2 X3 X4) → False) → (m1_subset_1 (esk14_5 X1 X2 X3 X4 X5) (k4_partfun1 X2 X3) → False) → X1 = X5 → v1_finset_1 X5 → m1_subset_1 X5 (k4_partfun1 X2 X3) → m1_subset_1 X4 (k5_finsub_1 (k4_partfun1 X2 X3)) → False) → (∀X4 X2 X3 X1, (r2_hidden X1 (k1_substlat X2 X3) → False) → (r1_tarski (esk11_4 X1 X2 X3 X4) (esk12_4 X1 X2 X3 X4) → False) → X1 = X4 → v1_finset_1 (esk10_4 X1 X2 X3 X4) → m1_subset_1 X4 (k5_finsub_1 (k4_partfun1 X2 X3)) → False) → (∀X4 X2 X3 X1, (r2_hidden X1 (k1_substlat X2 X3) → False) → X1 = X4 → (esk12_4 X1 X2 X3 X4) = (esk11_4 X1 X2 X3 X4) → v1_finset_1 (esk10_4 X1 X2 X3 X4) → m1_subset_1 X4 (k5_finsub_1 (k4_partfun1 X2 X3)) → False) → (∀X4 X2 X3 X1, (r2_hidden X1 (k1_substlat X2 X3) → False) → (r2_hidden (esk10_4 X1 X2 X3 X4) X4 → False) → (r1_tarski (esk11_4 X1 X2 X3 X4) (esk12_4 X1 X2 X3 X4) → False) → X1 = X4 → m1_subset_1 X4 (k5_finsub_1 (k4_partfun1 X2 X3)) → False) → (∀X4 X2 X3 X1, (r2_hidden X1 (k1_substlat X2 X3) → False) → (m1_subset_1 (esk12_4 X1 X2 X3 X4) (k4_partfun1 X2 X3) → False) → X1 = X4 → v1_finset_1 (esk10_4 X1 X2 X3 X4) → m1_subset_1 X4 (k5_finsub_1 (k4_partfun1 X2 X3)) → False) → (∀X4 X2 X3 X1, (r2_hidden X1 (k1_substlat X2 X3) → False) → (m1_subset_1 (esk11_4 X1 X2 X3 X4) (k4_partfun1 X2 X3) → False) → X1 = X4 → v1_finset_1 (esk10_4 X1 X2 X3 X4) → m1_subset_1 X4 (k5_finsub_1 (k4_partfun1 X2 X3)) → False) → (∀X4 X2 X3 X1, (r2_hidden X1 (k1_substlat X2 X3) → False) → (r2_hidden (esk12_4 X1 X2 X3 X4) X4 → False) → X1 = X4 → v1_finset_1 (esk10_4 X1 X2 X3 X4) → m1_subset_1 X4 (k5_finsub_1 (k4_partfun1 X2 X3)) → False) → (∀X4 X2 X3 X1, (r2_hidden X1 (k1_substlat X2 X3) → False) → (r2_hidden (esk11_4 X1 X2 X3 X4) X4 → False) → X1 = X4 → v1_finset_1 (esk10_4 X1 X2 X3 X4) → m1_subset_1 X4 (k5_finsub_1 (k4_partfun1 X2 X3)) → False) → (∀X4 X2 X3 X1, (r2_hidden X1 (k1_substlat X2 X3) → False) → (r2_hidden (esk10_4 X1 X2 X3 X4) X4 → False) → X1 = X4 → (esk12_4 X1 X2 X3 X4) = (esk11_4 X1 X2 X3 X4) → m1_subset_1 X4 (k5_finsub_1 (k4_partfun1 X2 X3)) → False) → (∀X5 X4 X3 X1 X2, (X1 = (esk13_4 X3 X4 X5 X2) → False) → r2_hidden X1 X2 → m1_subset_1 X1 (k4_partfun1 X4 X5) → r2_hidden X3 (a_3_0_substlat X4 X5 X2) → m1_subset_1 X2 (k5_finsub_1 (k4_partfun1 X4 X5)) → r1_tarski X1 (esk13_4 X3 X4 X5 X2) → False) → (∀X5 X2 X3 X4 X1, (r1_tarski X1 (esk13_4 X2 X3 X4 X5) → False) → X1 = (esk13_4 X2 X3 X4 X5) → m1_subset_1 X1 (k4_partfun1 X3 X4) → r2_hidden X2 (a_3_0_substlat X3 X4 X5) → m1_subset_1 X5 (k5_finsub_1 (k4_partfun1 X3 X4)) → False) → (∀X4 X2 X3 X1, (r2_hidden X1 (k1_substlat X2 X3) → False) → (r2_hidden (esk10_4 X1 X2 X3 X4) X4 → False) → (m1_subset_1 (esk12_4 X1 X2 X3 X4) (k4_partfun1 X2 X3) → False) → X1 = X4 → m1_subset_1 X4 (k5_finsub_1 (k4_partfun1 X2 X3)) → False) → (∀X4 X2 X3 X1, (r2_hidden X1 (k1_substlat X2 X3) → False) → (r2_hidden (esk10_4 X1 X2 X3 X4) X4 → False) → (m1_subset_1 (esk11_4 X1 X2 X3 X4) (k4_partfun1 X2 X3) → False) → X1 = X4 → m1_subset_1 X4 (k5_finsub_1 (k4_partfun1 X2 X3)) → False) → (∀X4 X2 X3 X1, (r2_hidden X1 (k1_substlat X2 X3) → False) → (r2_hidden (esk10_4 X1 X2 X3 X4) X4 → False) → (r2_hidden (esk12_4 X1 X2 X3 X4) X4 → False) → X1 = X4 → m1_subset_1 X4 (k5_finsub_1 (k4_partfun1 X2 X3)) → False) → (∀X4 X2 X3 X1, (r2_hidden X1 (k1_substlat X2 X3) → False) → (r2_hidden (esk10_4 X1 X2 X3 X4) X4 → False) → (r2_hidden (esk11_4 X1 X2 X3 X4) X4 → False) → X1 = X4 → m1_subset_1 X4 (k5_finsub_1 (k4_partfun1 X2 X3)) → False) → (∀X1, v1_finset_1 X1 → r1_tarski X1 esk5_0 → r2_hidden X1 (k4_substlat esk1_0 esk2_0 (k3_substlat esk1_0 esk2_0 esk3_0) esk4_0) → False) → (∀X4 X1 X3 X6 X7 X2 X5, (r2_hidden X5 (a_4_0_substlat X2 X3 X6 X7) → False) → X5 = (k2_xboole_0 X1 X4) → r2_hidden X4 X7 → r2_hidden X1 X6 → r1_partfun1 X1 X4 → m1_subset_1 X4 (k4_partfun1 X2 X3) → m1_subset_1 X1 (k4_partfun1 X2 X3) → m1_subset_1 X7 (k5_finsub_1 (k4_partfun1 X2 X3)) → m1_subset_1 X6 (k5_finsub_1 (k4_partfun1 X2 X3)) → False) → (∀X1 X4 X2 X3, (m1_subset_1 (esk13_4 X1 X2 X3 X4) (k4_partfun1 X2 X3) → False) → r2_hidden X1 (a_3_0_substlat X2 X3 X4) → m1_subset_1 X4 (k5_finsub_1 (k4_partfun1 X2 X3)) → False) → (∀X1 X4 X2 X3, (v1_finset_1 (esk13_4 X1 X2 X3 X4) → False) → r2_hidden X1 (a_3_0_substlat X2 X3 X4) → m1_subset_1 X4 (k5_finsub_1 (k4_partfun1 X2 X3)) → False) → (∀X4 X1 X2 X3, (m1_subset_1 (k4_substlat X2 X3 X1 X4) (k5_finsub_1 (k4_partfun1 X2 X3)) → False) → m1_subset_1 X4 (k5_finsub_1 (k4_partfun1 X2 X3)) → m1_subset_1 X1 (k5_finsub_1 (k4_partfun1 X2 X3)) → False) → (∀X5 X4 X3 X1 X2, (r2_hidden X1 X2 → False) → X1 = (esk13_4 X3 X4 X5 X2) → m1_subset_1 X1 (k4_partfun1 X4 X5) → r2_hidden X3 (a_3_0_substlat X4 X5 X2) → m1_subset_1 X2 (k5_finsub_1 (k4_partfun1 X4 X5)) → False) → (∀X3 X1 X2 X4, (r2_hidden (esk37_4 X1 X2 X3 X4) (k3_substlat X1 X2 X3) → False) → v1_finset_1 X4 → r2_hidden X4 X3 → m1_subset_1 X3 (k5_finsub_1 (k4_partfun1 X1 X2)) → False) → (∀X4 X1 X2 X3, ((a_4_0_substlat X2 X3 X1 X4) = (k4_substlat X2 X3 X1 X4) → False) → m1_subset_1 X4 (k5_finsub_1 (k4_partfun1 X2 X3)) → m1_subset_1 X1 (k5_finsub_1 (k4_partfun1 X2 X3)) → False) → (∀X1 X2 X3 X4 X5, (r1_partfun1 X4 X5 → False) → v1_funct_1 X5 → v1_funct_1 X4 → v1_funct_1 X1 → v1_relat_1 X5 → r1_partfun1 X1 X5 → r1_relset_1 X2 X3 X4 X1 → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X3 X1 X2 X4, (r1_tarski (esk37_4 X1 X2 X3 X4) X4 → False) → v1_finset_1 X4 → r2_hidden X4 X3 → m1_subset_1 X3 (k5_finsub_1 (k4_partfun1 X1 X2)) → False) → (∀X5 X2 X3 X1 X4, (X1 = X4 → False) → r1_tarski X1 X4 → m1_subset_1 X4 (k4_partfun1 X2 X3) → m1_subset_1 X1 (k4_partfun1 X2 X3) → r2_hidden X5 (k1_substlat X2 X3) → r2_hidden X4 (esk9_3 X5 X2 X3) → r2_hidden X1 (esk9_3 X5 X2 X3) → False) → (∀X1 X4 X2 X3, ((esk13_4 X1 X2 X3 X4) = X1 → False) → r2_hidden X1 (a_3_0_substlat X2 X3 X4) → m1_subset_1 X4 (k5_finsub_1 (k4_partfun1 X2 X3)) → False) → (∀X2 X1 X3 X4, (r1_tarski X3 X4 → False) → r1_relset_1 X1 X2 X3 X4 → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → (∀X4 X3 X1 X2, (r1_relset_1 X3 X4 X1 X2 → False) → r1_tarski X1 X2 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4)) → False) → (∀X1 X2 X3, (r1_relset_1 X2 X3 X1 X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X1 X2 X3, (m2_subset_1 (k3_substlat X2 X3 X1) (k5_finsub_1 (k4_partfun1 X2 X3)) (k1_substlat X2 X3) → False) → m1_subset_1 X1 (k5_finsub_1 (k4_partfun1 X2 X3)) → False) → (∀X2 X4 X3 X1, (v1_finset_1 X1 → False) → r2_hidden X2 (k1_substlat X3 X4) → r2_hidden X1 (esk9_3 X2 X3 X4) → False) → (∀X1 X3 X2, (m1_subset_1 (esk9_3 X1 X2 X3) (k5_finsub_1 (k4_partfun1 X2 X3)) → False) → r2_hidden X1 (k1_substlat X2 X3) → False) → (∀X1 X2 X3, ((k3_substlat X2 X3 X1) = (a_3_0_substlat X2 X3 X1) → False) → m1_subset_1 X1 (k5_finsub_1 (k4_partfun1 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) → (∀X1 X2, (X2 = (k5_finsub_1 X1) → False) → v4_finsub_1 X2 → v1_finset_1 (esk6_2 X1 X2) → r2_hidden (esk6_2 X1 X2) X2 → r1_tarski (esk6_2 X1 X2) X1 → 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) → (∀X3 X2 X1, (r2_hidden X1 (k4_partfun1 X2 X3) → False) → v1_funct_1 X1 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X2 X3 X1, (v1_xboole_0 X1 → False) → v1_xboole_0 X2 → v1_partfun1 X3 X1 → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 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) → (∀X1 X3 X2, (m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → r2_hidden X1 (k4_partfun1 X2 X3) → False) → (∀X3 X2 X1, (v1_partfun1 X2 X1 → False) → v1_xboole_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 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) → (∀X3 X1 X2, (v5_relat_1 X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X2)) → False) → (∀X3 X1 X2, (v4_relat_1 X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → 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 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 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, ((esk9_3 X1 X2 X3) = X1 → False) → r2_hidden X1 (k1_substlat X2 X3) → False) → (∀X3 X2 X1, (v1_relat_1 X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X1 X3 X2, r2_hidden X3 X2 → r2_hidden X1 X2 → r2_hidden X1 (esk38_2 X3 X2) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m1_subset_1 (esk28_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → False) → (∀X1 X2 X3, (v5_relat_1 (k2_xboole_0 X1 X3) X2 → False) → v1_relat_1 X3 → v1_relat_1 X1 → v5_relat_1 X3 X2 → v5_relat_1 X1 X2 → False) → (∀X1 X2 X3, (v4_relat_1 (k2_xboole_0 X1 X3) X2 → False) → v1_relat_1 X3 → v1_relat_1 X1 → v4_relat_1 X3 X2 → v4_relat_1 X1 X2 → False) → (∀X1 X2, (X2 = (k5_finsub_1 X1) → False) → (r2_hidden (esk6_2 X1 X2) X2 → False) → (r1_tarski (esk6_2 X1 X2) X1 → False) → v4_finsub_1 X2 → False) → (∀X3 X2 X1, (r1_tarski (k2_xboole_0 X1 X3) (k2_xboole_0 X2 X3) → False) → r1_tarski X1 X2 → False) → (∀X1 X2, (r1_partfun1 X1 X2 → False) → (k1_funct_4 X1 X2) = (k2_xboole_0 X1 X2) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → False) → (∀X1 X2, (X2 = (k5_finsub_1 X1) → False) → (v1_finset_1 (esk6_2 X1 X2) → False) → (r2_hidden (esk6_2 X1 X2) X2 → False) → v4_finsub_1 X2 → False) → (∀X1 X2, ((k1_funct_4 X1 X2) = (k2_xboole_0 X1 X2) → False) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → r1_partfun1 X1 X2 → False) → (∀X1 X2, (v1_relat_1 (k1_funct_4 X1 X2) → False) → v1_finset_1 X2 → v1_finset_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → False) → (∀X1 X2, (v1_funct_1 (k1_funct_4 X1 X2) → False) → v1_finset_1 X2 → v1_finset_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → False) → (∀X1 X2, (v1_finset_1 (k1_funct_4 X1 X2) → False) → v1_finset_1 X2 → v1_finset_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 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 X3 X1, (v4_funct_1 X1 → False) → m1_subset_1 X1 (k1_substlat X2 X3) → False) → (∀X2 X3 X1, (v1_funct_1 X1 → False) → r2_hidden X1 (k4_partfun1 X2 X3) → False) → (∀X2 X3 X1, (v1_finset_1 X1 → False) → m1_subset_1 X1 (k1_substlat X2 X3) → False) → (∀X1 X2, (r1_partfun1 X2 X1 → False) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → r1_partfun1 X1 X2 → False) → (∀X2 X1, (r2_hidden (esk38_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) → (∀X2 X1 X3, (r2_hidden X1 X3 → False) → X3 = (k5_finsub_1 X2) → v1_finset_1 X1 → v4_finsub_1 X3 → r1_tarski X1 X2 → False) → (∀X1 X2, (v1_relat_1 (k1_funct_4 X1 X2) → False) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → False) → (∀X1 X2, (v1_funct_1 (k1_funct_4 X1 X2) → False) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → v1_xboole_0 (esk31_2 X1 X2) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → v1_xboole_0 (esk28_2 X1 X2) → False) → (∀X3 X1 X2, (r1_tarski X1 X2 → False) → X3 = (k5_finsub_1 X2) → v4_finsub_1 X3 → r2_hidden X1 X3 → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (k2_xboole_0 X1 X2) → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (k2_xboole_0 X2 X1) → False) → (∀X1 X2, (v1_funct_1 X2 → False) → v1_funct_1 X1 → v1_relat_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (v5_relat_1 (esk31_2 X1 X2) X2 → False) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (v5_relat_1 (esk28_2 X1 X2) X2 → False) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (v4_relat_1 (esk31_2 X1 X2) X1 → False) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (v4_relat_1 (esk28_2 X1 X2) X1 → False) → 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, (v5_finset_1 (k2_xboole_0 X1 X2) → False) → v5_finset_1 X2 → v5_finset_1 X1 → False) → (∀X2 X1, (v1_finset_1 (k2_xboole_0 X1 X2) → False) → v1_finset_1 X2 → v1_finset_1 X1 → False) → (∀X2 X1, (v1_finset_1 (k2_zfmisc_1 X1 X2) → False) → v1_finset_1 X2 → v1_finset_1 X1 → False) → (∀X1 X2, (v5_finset_1 X2 → False) → v5_finset_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v4_funct_1 X2 → False) → v4_funct_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_finset_1 X2 → False) → v1_finset_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, ((k1_funct_4 X1 X1) = X1 → False) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → False) → (∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → r1_tarski X1 X2 → False) → (∀X2 X1, (r1_partfun1 X1 X1 → False) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → False) → (∀X2 X3 X1, (v1_finset_1 X1 → False) → X2 = (k5_finsub_1 X3) → v4_finsub_1 X2 → r2_hidden X1 X2 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden X1 X2 → False) → m1_subset_1 X1 X2 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (v1_relat_1 (esk31_2 X1 X2) → False) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (v1_relat_1 (esk28_2 X1 X2) → False) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (v1_funct_1 (esk31_2 X1 X2) → False) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (v1_funct_1 (esk28_2 X1 X2) → False) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (v1_finset_1 (esk31_2 X1 X2) → False) → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X2 X1, (v1_finset_1 X1 → False) → m1_subset_1 X1 (k5_finsub_1 X2) → False) → (∀X2 X1, (v1_relat_1 X1 → False) → v4_funct_1 X2 → m1_subset_1 X1 X2 → False) → (∀X2 X1, (v1_funct_1 X1 → False) → v4_funct_1 X2 → m1_subset_1 X1 X2 → False) → (∀X2 X1, (v1_finset_1 X1 → False) → v1_finset_1 X2 → r1_tarski X1 X2 → False) → (∀X1 X2, (v1_finset_1 X2 → False) → v5_finset_1 X1 → m1_subset_1 X2 X1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → (m1_subset_1 (esk33_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 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X1, (v3_funct_1 X1 → False) → v1_funct_1 X1 → v1_relat_1 X1 → v1_zfmisc_1 X1 → False) → (∀X1, (v3_funct_1 X1 → False) → v1_funct_1 X1 → v1_relat_1 X1 → v1_zfmisc_1 X1 → False) → (∀X1, (v3_funct_1 X1 → False) → v1_xboole_0 X1 → v1_funct_1 X1 → v1_relat_1 X1 → False) → (∀X1, (v2_funct_1 X1 → False) → v1_xboole_0 X1 → v1_funct_1 X1 → v1_relat_1 X1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_zfmisc_1 (esk33_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk23_1 X1) → False) → (∀X1, (v2_finset_1 X1 → False) → v1_xboole_0 X1 → v1_relat_1 X1 → False) → (∀X1, (v4_finsub_1 X1 → False) → v1_finsub_1 X1 → v3_finsub_1 X1 → False) → (∀X1, (v5_finset_1 (k1_zfmisc_1 X1) → False) → v1_finset_1 X1 → False) → (∀X1, (v1_finset_1 (k1_zfmisc_1 X1) → False) → v1_finset_1 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → (v1_finset_1 (esk33_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_finset_1 (esk23_1 X1) → False) → False) → (∀X1, (v5_finset_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v4_funct_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_funct_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v3_finsub_1 X1 → False) → v4_finsub_1 X1 → False) → (∀X1, (v1_finsub_1 X1 → False) → v4_finsub_1 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → v1_zfmisc_1 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → v1_zfmisc_1 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (∀X1 X2, v1_xboole_0 (esk21_2 X1 X2) → False) → (∀X1 X2, v1_xboole_0 (k1_substlat X1 X2) → False) → (∀X1 X2, v1_xboole_0 (k4_partfun1 X1 X2) → False) → (∀X1, v1_xboole_0 (k5_finsub_1 X1) → False) → (v3_funct_1 esk30_0 → False) → (v1_xboole_0 esk36_0 → False) → (v1_xboole_0 esk35_0 → False) → (v1_xboole_0 esk34_0 → False) → (v1_xboole_0 esk27_0 → False) → (v1_xboole_0 esk26_0 → False) → (v1_xboole_0 esk17_0 → False) → ((r2_hidden esk5_0 (k4_substlat esk1_0 esk2_0 esk3_0 esk4_0) → False) → False) → (∀X1 X2, (m1_subset_1 (k1_substlat X1 X2) (k1_zfmisc_1 (k5_finsub_1 (k4_partfun1 X1 X2))) → False) → False) → (∀X2 X1, (m1_subset_1 (esk20_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → False) → (∀X2 X1, (m1_subset_1 (esk19_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → False) → (∀X1 X2, (m1_subset_1 (esk25_2 X1 X2) (k4_partfun1 X1 X2) → False) → False) → (∀X1 X2, (m1_subset_1 (esk21_2 X1 X2) (k1_substlat X1 X2) → False) → False) → ((m1_subset_1 esk4_0 (k5_finsub_1 (k4_partfun1 esk1_0 esk2_0)) → False) → False) → ((m1_subset_1 esk3_0 (k5_finsub_1 (k4_partfun1 esk1_0 esk2_0)) → False) → False) → (∀X2 X1, (v5_relat_1 (esk32_2 X1 X2) X2 → False) → False) → (∀X2 X1, (v5_relat_1 (esk29_2 X1 X2) X2 → False) → False) → (∀X2 X1, (v5_relat_1 (esk20_2 X1 X2) X2 → False) → False) → (∀X2 X1, (v5_relat_1 (