Theorem. (
t26_card_lar)
∀v1_finset_1 : set → prop, ∀v1_card_1 : set → prop, ∀esk4_2 : set → set → set, ∀a_1_2_card_lar : set → set, ∀v4_card_3 : set → prop, ∀m1_subset_1 : set → set → prop, ∀v6_card_fil : set → prop, ∀v5_card_lar : set → prop, ∀v1_xboole_0 : set → prop, ∀esk12_1 : set → set, ∀v3_card_1 : set → set → prop, ∀esk17_1 : set → set, ∀v1_ordinal1 : set → prop, ∀k1_xboole_0 : set, ∀v2_card_1 : set → prop, ∀v5_card_3 : set → prop, ∀v5_ordinal1 : set → prop, ∀esk11_0 : set, ∀esk14_0 : set, ∀esk7_0 : set, ∀esk15_0 : set, ∀esk18_0 : set, ∀esk16_0 : set, ∀esk10_0 : set, ∀esk9_0 : set, ∀esk8_0 : set, ∀esk5_0 : set, ∀esk2_1 : set → set, ∀esk6_0 : set, ∀esk1_0 : set, ∀esk13_0 : set, ∀esk19_0 : set, ∀v6_ordinal1 : set → prop, ∀v7_ordinal1 : set → prop, ∀v4_card_fil : set → prop, ∀v5_card_fil : set → prop, ∀v4_ordinal1 : set → prop, ∀v2_ordinal1 : set → prop, ∀v3_ordinal1 : set → prop, ∀r4_card_lar : set → set → prop, ∀v4_card_lar : set → prop, ∀v1_card_5 : set → prop, ∀a_1_1_card_lar : set → set, ∀esk3_2 : set → set → set, ∀esk20_2 : set → set → set, ∀r2_hidden : set → set → prop, (∀X1 X3 X2, r2_hidden X3 X2 → r2_hidden X1 X2 → r2_hidden X1 (esk20_2 X3 X2) → False) → (∀X1 X2, (v1_finset_1 X2 → False) → (v4_card_3 X2 → False) → v1_card_1 X2 → v1_finset_1 (esk4_2 X1 X2) → r2_hidden X1 (a_1_2_card_lar X2) → False) → (∀X1 X2, (v1_finset_1 X2 → False) → (v4_card_3 X2 → False) → v1_card_1 X2 → v1_finset_1 (esk3_2 X1 X2) → r2_hidden X1 (a_1_1_card_lar X2) → False) → (∀X1 X2, (v1_finset_1 X2 → False) → (v4_card_3 X2 → False) → (m1_subset_1 (esk4_2 X1 X2) X2 → False) → v1_card_1 X2 → r2_hidden X1 (a_1_2_card_lar X2) → False) → (∀X1 X2, (v1_finset_1 X2 → False) → (v4_card_3 X2 → False) → (m1_subset_1 (esk3_2 X1 X2) X2 → False) → v1_card_1 X2 → r2_hidden X1 (a_1_1_card_lar X2) → False) → (∀X1 X3 X2, (v1_finset_1 X2 → False) → (v1_finset_1 X1 → False) → (v4_card_3 X2 → False) → (r2_hidden X3 (a_1_2_card_lar X2) → False) → X1 = X3 → v1_card_1 X2 → v1_card_1 X1 → v6_card_fil X1 → m1_subset_1 X1 X2 → False) → (∀X1 X3 X2, (v1_finset_1 X2 → False) → (v1_finset_1 X1 → False) → (v4_card_3 X2 → False) → (r2_hidden X3 (a_1_1_card_lar X2) → False) → X1 = X3 → v1_card_1 X2 → v1_card_1 X1 → v1_card_5 X1 → m1_subset_1 X1 X2 → False) → (∀X1 X2, (v1_finset_1 X2 → False) → (v4_card_3 X2 → False) → (v6_card_fil (esk4_2 X1 X2) → False) → v1_card_1 X2 → r2_hidden X1 (a_1_2_card_lar X2) → False) → (∀X1 X2, (v1_finset_1 X2 → False) → (v4_card_3 X2 → False) → (v1_card_5 (esk3_2 X1 X2) → False) → v1_card_1 X2 → r2_hidden X1 (a_1_1_card_lar X2) → False) → (∀X1 X2, (v1_finset_1 X2 → False) → (v4_card_3 X2 → False) → (v1_card_1 (esk4_2 X1 X2) → False) → v1_card_1 X2 → r2_hidden X1 (a_1_2_card_lar X2) → False) → (∀X1 X2, (v1_finset_1 X2 → False) → (v4_card_3 X2 → False) → (v1_card_1 (esk3_2 X1 X2) → False) → v1_card_1 X2 → r2_hidden X1 (a_1_1_card_lar X2) → False) → (∀X1 X2, ((esk4_2 X1 X2) = X1 → False) → (v1_finset_1 X2 → False) → (v4_card_3 X2 → False) → v1_card_1 X2 → r2_hidden X1 (a_1_2_card_lar X2) → False) → (∀X1 X2, ((esk3_2 X1 X2) = X1 → False) → (v1_finset_1 X2 → False) → (v4_card_3 X2 → False) → v1_card_1 X2 → r2_hidden X1 (a_1_1_card_lar X2) → False) → (∀X2 X1, (r2_hidden (esk20_2 X1 X2) X2 → False) → r2_hidden X1 X2 → False) → (∀X1, (v1_finset_1 X1 → False) → (v4_card_3 X1 → False) → (v4_card_lar X1 → False) → v1_card_1 X1 → r4_card_lar X1 (a_1_1_card_lar X1) → False) → (∀X1, (v1_finset_1 X1 → False) → (v4_card_3 X1 → False) → (v5_card_lar X1 → False) → v1_card_1 X1 → r4_card_lar X1 (a_1_2_card_lar X1) → False) → (∀X2 X1, r2_hidden X2 X1 → r2_hidden X1 X2 → False) → (∀X1, (v1_finset_1 X1 → False) → (v4_card_3 X1 → False) → (r4_card_lar X1 (a_1_2_card_lar X1) → False) → v1_card_1 X1 → v5_card_lar X1 → False) → (∀X1, (v1_finset_1 X1 → False) → (v4_card_3 X1 → False) → (r4_card_lar X1 (a_1_1_card_lar X1) → False) → v1_card_1 X1 → v4_card_lar 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, (v1_finset_1 X1 → False) → (v4_card_3 X1 → False) → (m1_subset_1 (esk12_1 X1) X1 → False) → v1_card_1 X1 → False) → (∀X1 X2, (v3_ordinal1 X2 → False) → v3_ordinal1 X1 → m1_subset_1 X2 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → (v4_card_3 X1 → False) → v1_card_1 X1 → v1_finset_1 (esk12_1 X1) → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X1, (v3_card_1 (esk17_1 X1) X1 → False) → v1_card_1 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → (v4_card_3 X1 → False) → (v2_ordinal1 (esk12_1 X1) → False) → v1_card_1 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → (v4_card_3 X1 → False) → (v1_ordinal1 (esk12_1 X1) → False) → v1_card_1 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → (v4_card_3 X1 → False) → (v3_ordinal1 (esk12_1 X1) → False) → v1_card_1 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → (v4_card_3 X1 → False) → (v1_card_1 (esk12_1 X1) → False) → v1_card_1 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_finset_1 X1 → v3_ordinal1 X1 → v4_ordinal1 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → v3_card_1 X1 k1_xboole_0 → False) → (∀X1, (v1_finset_1 X1 → False) → (v5_card_fil X1 → False) → v1_card_1 X1 → v6_card_fil X1 → False) → (∀X1, (v1_finset_1 X1 → False) → (v1_card_5 X1 → False) → v1_card_1 X1 → v6_card_fil X1 → False) → (∀X1, (v1_finset_1 X1 → False) → (v1_card_5 X1 → False) → v1_card_1 X1 → v4_card_fil X1 → False) → (∀X1, (v1_finset_1 X1 → False) → (v2_card_1 X1 → False) → v1_card_1 X1 → v5_card_fil X1 → False) → (∀X1, (v1_finset_1 X1 → False) → (v2_card_1 X1 → False) → v1_card_1 X1 → v4_card_fil X1 → False) → (∀X1, (v1_finset_1 X1 → False) → (v2_card_1 X1 → False) → v1_card_1 X1 → v4_card_3 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → (v4_card_fil X1 → False) → v1_card_1 X1 → v6_card_fil X1 → False) → (∀X1, (v1_finset_1 X1 → False) → (v4_ordinal1 X1 → False) → v1_card_1 X1 → v3_ordinal1 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → (v2_card_1 X1 → False) → (v1_card_5 X1 → False) → v1_card_1 X1 → False) → (∀X1, (v3_card_1 X1 k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (∀X1, (v7_ordinal1 X1 → False) → v1_finset_1 X1 → v3_ordinal1 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v1_ordinal1 X1 → v2_ordinal1 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → (v5_card_3 X1 → False) → v4_card_3 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → (v4_ordinal1 X1 → False) → v1_card_1 X1 → False) → (∀X1, v1_finset_1 X1 → v5_card_3 X1 → False) → (∀X1, (v6_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v5_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v7_ordinal1 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) → v7_ordinal1 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v1_card_1 X1 → False) → (∀X1, (v4_card_3 X1 → False) → v5_card_3 X1 → False) → (∀X1, (v4_card_3 X1 → False) → v1_finset_1 X1 → False) → (∀X1, (v1_card_1 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v1_card_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (v2_card_1 esk11_0 → False) → (v1_xboole_0 esk19_0 → False) → (v1_xboole_0 esk14_0 → False) → (v1_xboole_0 esk13_0 → False) → (v1_xboole_0 esk7_0 → False) → (v4_card_lar esk1_0 → False) → (v4_card_3 esk7_0 → False) → (v4_card_3 esk1_0 → False) → (v1_finset_1 esk15_0 → False) → (v1_finset_1 esk11_0 → False) → (v1_finset_1 esk7_0 → False) → (v1_finset_1 esk6_0 → False) → (v1_finset_1 esk1_0 → False) → (∀X1, (m1_subset_1 (esk2_1 X1) X1 → False) → False) → ((v5_card_3 esk18_0 → False) → False) → ((v7_ordinal1 esk19_0 → False) → False) → ((v7_ordinal1 esk16_0 → False) → False) → ((v1_card_5 esk7_0 → False) → False) → ((v2_ordinal1 esk13_0 → False) → False) → ((v2_ordinal1 esk11_0 → False) → False) → ((v2_ordinal1 esk10_0 → False) → False) → ((v2_ordinal1 esk7_0 → False) → False) → ((v2_ordinal1 esk6_0 → False) → False) → ((v1_ordinal1 esk13_0 → False) → False) → ((v1_ordinal1 esk11_0 → False) → False) → ((v1_ordinal1 esk10_0 → False) → False) → ((v1_ordinal1 esk7_0 → False) → False) → ((v1_ordinal1 esk6_0 → False) → False) → ((v1_xboole_0 esk9_0 → False) → False) → ((v1_xboole_0 k1_xboole_0 → False) → False) → ((v4_ordinal1 esk7_0 → False) → False) → ((v3_ordinal1 esk13_0 → False) → False) → ((v3_ordinal1 esk11_0 → False) → False) → ((v3_ordinal1 esk10_0 → False) → False) → ((v3_ordinal1 esk8_0 → False) → False) → ((v3_ordinal1 esk7_0 → False) → False) → ((v3_ordinal1 esk6_0 → False) → False) → ((v5_card_lar esk1_0 → False) → False) → ((v1_card_1 esk11_0 → False) → False) → ((v1_card_1 esk10_0 → False) → False) → ((v1_card_1 esk7_0 → False) → False) → ((v1_card_1 esk6_0 → False) → False) → ((v1_card_1 esk5_0 → False) → False) → ((v1_card_1 esk1_0 → False) → False) → ((v1_finset_1 esk10_0 → False) → False) → False