Theorem. (t4_robbins1)
∀k5_binop_1 : setsetsetsetset, ∀m1_subset_1 : setsetprop, ∀k2_zfmisc_1 : setsetset, ∀v1_funct_2 : setsetsetprop, ∀k1_zfmisc_1 : setset, ∀v1_funct_1 : setprop, ∀k1_binop_1 : setsetsetset, ∀l2_lattices : setprop, ∀esk4_1 : setset, ∀esk6_1 : setset, ∀esk5_1 : setset, ∀v5_lattices : setprop, ∀l1_robbins1 : setprop, ∀u1_robbins1 : setset, ∀v4_lattices : setprop, ∀k5_robbins1 : setsetsetset, ∀m2_subset_1 : setsetsetprop, ∀v4_relat_1 : setsetprop, ∀esk14_2 : setsetset, ∀v1_relat_1 : setprop, ∀v1_finset_1 : setprop, ∀v7_struct_0 : setprop, ∀esk21_1 : setset, ∀esk20_1 : setset, ∀v2_binop_1 : setsetprop, ∀np__1 : set, ∀esk35_1 : setset, ∀v1_zfmisc_1 : setprop, ∀esk34_1 : setset, ∀v1_ordinal1 : setprop, ∀v2_ordinal1 : setprop, ∀v5_ordinal1 : setprop, ∀esk3_0 : set, ∀esk2_0 : set, ∀esk1_0 : set, ∀esk26_0 : set, ∀esk25_0 : set, ∀esk19_0 : set, ∀esk17_2 : setsetset, ∀esk28_1 : setset, ∀v2_xxreal_0 : setprop, ∀esk11_0 : set, ∀esk16_0 : set, ∀esk15_0 : set, ∀esk12_0 : set, ∀esk18_0 : set, ∀esk10_0 : set, ∀esk30_0 : set, ∀esk23_0 : set, ∀esk9_0 : set, ∀esk13_1 : setset, ∀k5_numbers : set, ∀k1_numbers : set, ∀esk24_0 : set, ∀esk33_0 : set, ∀esk27_0 : set, ∀v7_ordinal1 : setprop, ∀esk32_1 : setset, ∀esk22_1 : setset, ∀v8_struct_0 : setprop, ∀esk29_1 : setset, ∀k1_xboole_0 : set, ∀v3_ordinal1 : setprop, ∀v6_ordinal1 : setprop, ∀v1_binop_1 : setsetprop, ∀r1_tarski : setsetprop, ∀esk31_1 : setset, ∀l1_struct_0 : setprop, ∀v1_card_1 : setprop, ∀v13_struct_0 : setsetprop, ∀v3_card_1 : setsetprop, ∀r2_hidden : setsetprop, ∀v5_relat_1 : setsetprop, ∀u2_lattices : setset, ∀k1_funct_1 : setsetset, ∀k3_funct_2 : setsetsetsetset, ∀v1_xboole_0 : setprop, ∀u1_struct_0 : setset, ∀v6_robbins1 : setprop, ∀esk7_1 : setset, ∀k3_robbins1 : setsetset, ∀esk8_1 : setset, ∀k1_lattices : setsetsetset, ∀l2_robbins1 : setprop, ∀v2_struct_0 : setprop, (∀X1, (v2_struct_0 X1False)(v6_robbins1 X1False)(k1_lattices X1 (k3_robbins1 X1 (k1_lattices X1 (k3_robbins1 X1 (esk7_1 X1)) (k3_robbins1 X1 (esk8_1 X1)))) (k3_robbins1 X1 (k1_lattices X1 (k3_robbins1 X1 (esk7_1 X1)) (esk8_1 X1)))) = (esk7_1 X1)l2_robbins1 X1False)(∀X2 X4 X3 X1, (m1_subset_1 (k5_binop_1 X2 X1 X3 X4) X2False)v1_funct_1 X1m1_subset_1 X4 X2m1_subset_1 X3 X2v1_funct_2 X1 (k2_zfmisc_1 X2 X2) X2m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2))False)(∀X2 X3 X1, ((k1_lattices X1 (k3_robbins1 X1 (k1_lattices X1 (k3_robbins1 X1 X2) (k3_robbins1 X1 X3))) (k3_robbins1 X1 (k1_lattices X1 (k3_robbins1 X1 X2) X3))) = X2False)(v2_struct_0 X1False)v6_robbins1 X1l2_robbins1 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X4 X3 X1, ((k5_binop_1 X2 X1 X3 X4) = (k1_binop_1 X1 X3 X4)False)v1_funct_1 X1m1_subset_1 X4 X2m1_subset_1 X3 X2v1_funct_2 X1 (k2_zfmisc_1 X2 X2) X2m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2))False)(∀X2 X3 X4 X1, (v1_xboole_0 X1False)(m1_subset_1 (k3_funct_2 X1 X3 X2 X4) X3False)v1_funct_1 X2m1_subset_1 X4 X1v1_funct_2 X2 X1 X3m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))False)(∀X1, (v2_struct_0 X1False)(v5_lattices X1False)(k1_lattices X1 (k1_lattices X1 (esk4_1 X1) (esk5_1 X1)) (esk6_1 X1)) = (k1_lattices X1 (esk4_1 X1) (k1_lattices X1 (esk5_1 X1) (esk6_1 X1)))l2_lattices X1False)(∀X2 X3 X4 X1, ((k3_funct_2 X1 X3 X2 X4) = (k1_funct_1 X2 X4)False)(v1_xboole_0 X1False)v1_funct_1 X2m1_subset_1 X4 X1v1_funct_2 X2 X1 X3m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))False)(∀X4 X3 X2 X1, ((k1_lattices X1 (k1_lattices X1 X2 X3) X4) = (k1_lattices X1 X2 (k1_lattices X1 X3 X4))False)(v2_struct_0 X1False)v5_lattices X1l2_lattices X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X3 X2 X1, ((k5_binop_1 (u1_struct_0 X1) (u2_lattices X1) X2 X3) = (k1_lattices X1 X2 X3)False)(v2_struct_0 X1False)l2_lattices X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X1, ((k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) (u1_robbins1 X1) X2) = (k3_robbins1 X1 X2)False)(v2_struct_0 X1False)l1_robbins1 X1m1_subset_1 X2 (u1_struct_0 X1)False)(∀X1, (m1_subset_1 (u2_lattices X1) (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 (u1_struct_0 X1) (u1_struct_0 X1)) (u1_struct_0 X1)))False)l2_lattices X1False)(∀X2 X3 X1, (v2_struct_0 X1False)(m1_subset_1 (k5_robbins1 X1 X2 X3) (u1_struct_0 X1)False)v4_lattices X1l2_robbins1 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X3 X2 X1, (v2_struct_0 X1False)(m1_subset_1 (k1_lattices X1 X2 X3) (u1_struct_0 X1)False)l2_lattices X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X3 X1, ((k5_robbins1 X1 X2 X3) = (k1_lattices X1 X2 X3)False)(v2_struct_0 X1False)v4_lattices X1l2_robbins1 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X3 X1, ((k5_robbins1 X1 X2 X3) = (k5_robbins1 X1 X3 X2)False)(v2_struct_0 X1False)v4_lattices X1l2_robbins1 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X1 X3 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(m1_subset_1 X3 X1False)m2_subset_1 X3 X1 X2m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1 X3, (v1_xboole_0 X3False)(v1_xboole_0 X2False)(m1_subset_1 X1 X3False)m2_subset_1 X1 X2 X3m1_subset_1 X3 (k1_zfmisc_1 X2)False)(∀X1, (v2_struct_0 X1False)(v1_funct_2 (u2_lattices X1) (k2_zfmisc_1 (u1_struct_0 X1) (u1_struct_0 X1)) (u1_struct_0 X1)False)v5_lattices X1l2_lattices X1False)(∀X1, (v2_struct_0 X1False)(v1_funct_2 (u2_lattices X1) (k2_zfmisc_1 (u1_struct_0 X1) (u1_struct_0 X1)) (u1_struct_0 X1)False)v4_lattices X1l2_lattices X1False)(∀X1, (m1_subset_1 (u1_robbins1 X1) (k1_zfmisc_1 (k2_zfmisc_1 (u1_struct_0 X1) (u1_struct_0 X1)))False)l1_robbins1 X1False)(∀X3 X1 X2, (v5_relat_1 X1 X2False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X2))False)(∀X3 X1 X2, (v4_relat_1 X1 X2False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X1 X3 X2, (v1_xboole_0 X2False)v1_xboole_0 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))False)(∀X1 X3 X2, (v1_xboole_0 X2False)v1_xboole_0 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1))False)(∀X1, (v1_funct_2 (u2_lattices X1) (k2_zfmisc_1 (u1_struct_0 X1) (u1_struct_0 X1)) (u1_struct_0 X1)False)l2_lattices X1False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(m2_subset_1 (esk14_2 X1 X2) X1 X2False)m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1 X3, (v1_xboole_0 X3False)(v1_xboole_0 X2False)(m2_subset_1 X1 X3 X2False)m1_subset_1 X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X3 X2 X1, (v1_relat_1 X1False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X2 X1, (v2_struct_0 X1False)(m1_subset_1 (k3_robbins1 X1 X2) (u1_struct_0 X1)False)l1_robbins1 X1m1_subset_1 X2 (u1_struct_0 X1)False)(∀X1, (v1_funct_2 (u1_robbins1 X1) (u1_struct_0 X1) (u1_struct_0 X1)False)l1_robbins1 X1False)(∀X2 X1 X3, (m1_subset_1 X1 X3False)r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X2 X1 X3, v1_xboole_0 X3r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X1 X2, (v3_card_1 (u1_struct_0 X2) X1False)l1_struct_0 X2v1_card_1 X1v13_struct_0 X2 X1False)(∀X1 X2, (v1_xboole_0 X2False)(v1_finset_1 X1False)v1_finset_1 (k2_zfmisc_1 X1 X2)False)(∀X1 X2, (v1_xboole_0 X2False)(v1_finset_1 X1False)v1_finset_1 (k2_zfmisc_1 X2 X1)False)(∀X1, (v7_struct_0 X1False)(m1_subset_1 (esk21_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(m1_subset_1 (esk31_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(m1_subset_1 (esk20_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X2 X1, (r1_tarski X1 X2False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X1, (v2_struct_0 X1False)(v2_binop_1 (u2_lattices X1) (u1_struct_0 X1)False)v5_lattices X1l2_lattices X1False)(∀X1, (v2_struct_0 X1False)(v1_binop_1 (u2_lattices X1) (u1_struct_0 X1)False)v4_lattices X1l2_lattices X1False)(∀X2 X1, r2_hidden X2 X1r2_hidden X1 X2False)(∀X1 X2, (v6_ordinal1 X2False)v6_ordinal1 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2)False)r1_tarski X1 X2False)(∀X1, (v2_struct_0 X1False)(v6_robbins1 X1False)(m1_subset_1 (esk8_1 X1) (u1_struct_0 X1)False)l2_robbins1 X1False)(∀X1, (v2_struct_0 X1False)(v6_robbins1 X1False)(m1_subset_1 (esk7_1 X1) (u1_struct_0 X1)False)l2_robbins1 X1False)(∀X1, (v2_struct_0 X1False)(v5_lattices X1False)(m1_subset_1 (esk6_1 X1) (u1_struct_0 X1)False)l2_lattices X1False)(∀X1, (v2_struct_0 X1False)(v5_lattices X1False)(m1_subset_1 (esk5_1 X1) (u1_struct_0 X1)False)l2_lattices X1False)(∀X1, (v2_struct_0 X1False)(v5_lattices X1False)(m1_subset_1 (esk4_1 X1) (u1_struct_0 X1)False)l2_lattices X1False)(∀X1 X2, (v1_xboole_0 X2False)(r2_hidden X1 X2False)m1_subset_1 X1 X2False)(∀X2 X1, (v1_xboole_0 (k2_zfmisc_1 X1 X2)False)v1_xboole_0 X1False)(∀X2 X1, (v1_xboole_0 (k2_zfmisc_1 X2 X1)False)v1_xboole_0 X1False)(∀X2 X1, (m1_subset_1 X1 X2False)r2_hidden X1 X2False)(∀X1, v2_struct_0 X1l1_struct_0 X1v13_struct_0 X1 np__1False)(∀X1 X2, (v3_ordinal1 X2False)v3_ordinal1 X1m1_subset_1 X2 X1False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v13_struct_0 X1 np__1False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v13_struct_0 X1 k1_xboole_0False)(∀X1, (v2_struct_0 X1False)(v13_struct_0 X1 np__1False)l1_struct_0 X1v7_struct_0 X1False)(∀X1, (v1_finset_1 X1False)(m1_subset_1 (esk29_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk35_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v2_struct_0 X1False)(v1_funct_1 (u2_lattices X1)False)v5_lattices X1l2_lattices X1False)(∀X1, (v2_struct_0 X1False)(v1_funct_1 (u2_lattices X1)False)v4_lattices X1l2_lattices X1False)(∀X1, (v8_struct_0 X1False)l1_struct_0 X1v1_finset_1 (u1_struct_0 X1)False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v1_zfmisc_1 (esk21_1 X1)False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v1_zfmisc_1 (u1_struct_0 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (esk31_1 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (esk20_1 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (u1_struct_0 X1)False)(∀X1, (v13_struct_0 (esk22_1 X1) X1False)v1_card_1 X1False)(∀X1, (v3_card_1 (esk34_1 X1) X1False)v1_card_1 X1False)(∀X1, (v3_card_1 (esk32_1 X1) X1False)v1_card_1 X1False)(∀X1, v1_xboole_0 X1v3_card_1 X1 np__1False)(∀X1, (v13_struct_0 X1 k1_xboole_0False)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v1_finset_1 (u1_struct_0 X1)False)l1_struct_0 X1v8_struct_0 X1False)(∀X1, (v1_zfmisc_1 (u1_struct_0 X1)False)l1_struct_0 X1v7_struct_0 X1False)(∀X1, (v1_xboole_0 (u1_struct_0 X1)False)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v1_zfmisc_1 X1False)v3_card_1 X1 np__1False)(∀X1, (v1_xboole_0 X1False)v3_card_1 X1 k1_xboole_0False)(∀X1, (v1_xboole_0 X1False)(v3_card_1 X1 np__1False)v1_zfmisc_1 X1False)(∀X1, (v1_xboole_0 X1False)(v3_card_1 (esk35_1 X1) np__1False)False)(∀X1, (v2_struct_0 X1False)(v1_zfmisc_1 (esk20_1 X1)False)l1_struct_0 X1False)(∀X1, (v1_finset_1 X1False)v1_finset_1 (esk29_1 X1)False)(∀X1, (v1_finset_1 X1False)v1_finset_1 (k1_zfmisc_1 X1)False)(∀X1, (v3_card_1 X1 k1_xboole_0False)v1_xboole_0 X1False)(∀X1, (v8_struct_0 X1False)l1_struct_0 X1v7_struct_0 X1False)(∀X1, (v8_struct_0 X1False)l1_struct_0 X1v7_struct_0 X1False)(∀X1, (v8_struct_0 X1False)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v8_struct_0 X1False)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v7_ordinal1 X1False)v3_ordinal1 X1v1_finset_1 X1False)(∀X1, (v3_ordinal1 X1False)v1_ordinal1 X1v2_ordinal1 X1False)(∀X1, (v7_struct_0 X1False)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v7_struct_0 X1False)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v7_struct_0 X1False)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v1_funct_1 (esk34_1 X1)False)v1_card_1 X1False)(∀X1, (v1_funct_1 (u1_robbins1 X1)False)l1_robbins1 X1False)(∀X1, (v1_funct_1 (u2_lattices X1)False)l2_lattices X1False)(∀X1, (v1_relat_1 (esk34_1 X1)False)v1_card_1 X1False)(∀X1, (l1_struct_0 (esk22_1 X1)False)v1_card_1 X1False)(∀X1, (l1_robbins1 X1False)l2_robbins1 X1False)(∀X1, (l2_lattices X1False)l2_robbins1 X1False)(∀X1, (v1_finset_1 X1False)v7_ordinal1 X1False)(∀X1, (v5_ordinal1 X1False)v1_xboole_0 X1False)(∀X1, (v7_ordinal1 X1False)v1_xboole_0 X1False)(∀X1, (v2_ordinal1 X1False)v3_ordinal1 X1False)(∀X1, (v1_ordinal1 X1False)v3_ordinal1 X1False)(∀X1, (v3_ordinal1 X1False)v7_ordinal1 X1False)(∀X1, (v3_ordinal1 X1False)v1_card_1 X1False)(∀X1, (v3_ordinal1 X1False)v1_xboole_0 X1False)(∀X1, (v1_card_1 X1False)v7_ordinal1 X1False)(∀X1, (v1_card_1 X1False)v1_xboole_0 X1False)(∀X1, (l1_struct_0 X1False)l1_robbins1 X1False)(∀X1, (l1_struct_0 X1False)l2_lattices X1False)(∀X1, (v6_ordinal1 X1False)v1_xboole_0 X1False)(∀X1, (v1_zfmisc_1 X1False)v1_xboole_0 X1False)(∀X1, (v1_zfmisc_1 X1False)v1_xboole_0 X1False)((k5_robbins1 esk1_0 esk3_0 (k3_robbins1 esk1_0 esk3_0)) = (k5_robbins1 esk1_0 esk2_0 (k3_robbins1 esk1_0 esk2_0))False)(v1_finset_1 esk27_0False)(v1_zfmisc_1 esk26_0False)(v1_xboole_0 esk33_0False)(v1_xboole_0 esk25_0False)(v1_xboole_0 esk24_0False)(v1_xboole_0 esk19_0False)(v2_struct_0 esk1_0False)(∀X2 X1, (m1_subset_1 (esk17_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)False)((m2_subset_1 np__1 k1_numbers k5_numbersFalse)False)(∀X2 X1, (v5_relat_1 (esk17_2 X1 X2) X2False)False)(∀X1 X2, (v4_relat_1 (esk17_2 X1 X2) X1False)False)(∀X1 X2, (v1_relat_1 (esk17_2 X1 X2)False)False)(∀X1 X2, (v1_xboole_0 (esk17_2 X1 X2)False)False)(∀X1, (v5_relat_1 (esk28_1 X1) X1False)False)(∀X1, (m1_subset_1 (esk13_1 X1) X1False)False)((m1_subset_1 esk3_0 (u1_struct_0 esk1_0)False)False)((m1_subset_1 esk2_0 (u1_struct_0 esk1_0)False)False)(∀X1, (r1_tarski X1 X1False)False)((m1_subset_1 np__1 k5_numbersFalse)False)((m1_subset_1 np__1 k1_numbersFalse)False)(∀X1, (v1_funct_1 (esk28_1 X1)False)False)(∀X1, (v5_ordinal1 (esk28_1 X1)False)False)(∀X1, (v1_relat_1 (esk28_1 X1)False)False)((v2_xxreal_0 np__1False)False)((l1_robbins1 esk9_0False)False)((l2_lattices esk11_0False)False)((v1_finset_1 esk23_0False)False)((v7_ordinal1 esk33_0False)False)((v7_ordinal1 esk30_0False)False)((v2_ordinal1 esk24_0False)False)((v2_ordinal1 esk23_0False)False)((v1_ordinal1 esk24_0False)False)((v1_ordinal1 esk23_0False)False)((v3_ordinal1 esk24_0False)False)((v3_ordinal1 esk23_0False)False)((v3_ordinal1 esk16_0False)False)((v1_card_1 esk23_0False)False)((v1_card_1 esk15_0False)False)((l1_struct_0 esk10_0False)False)((v1_zfmisc_1 esk19_0False)False)((v1_xboole_0 esk18_0False)False)((v1_xboole_0 k1_xboole_0False)False)((l2_robbins1 esk12_0False)False)((l2_robbins1 esk1_0False)False)((v6_robbins1 esk1_0False)False)((v5_lattices esk1_0False)False)((v4_lattices esk1_0False)False)False
Proof:
The rest of the proof is missing.