% Mizar problem: t27_yellow_7,yellow_7,699,5 
fof(t27_yellow_7, conjecture,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  ( (v1_waybel_0(B, k7_lattice3(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k7_lattice3(A)))))  <=>  (v2_waybel_0(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(abstractness_v1_orders_2, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_orders_2(A) => A=g1_orders_2(u1_struct_0(A), u1_orders_2(A))) ) ) ).
fof(cc1_relset_1, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_relat_1(C)) ) ) ).
fof(cc2_relset_1, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ).
fof(d5_lattice3, axiom,  (! [A] :  (l1_orders_2(A) => k7_lattice3(A)=g1_orders_2(u1_struct_0(A), k3_relset_1(u1_struct_0(A), u1_struct_0(A), u1_orders_2(A)))) ) ).
fof(dt_g1_orders_2, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (v1_orders_2(g1_orders_2(A, B)) & l1_orders_2(g1_orders_2(A, B))) ) ) ).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_relat_1, axiom,  (! [A] :  (v1_relat_1(A) => v1_relat_1(k2_relat_1(A))) ) ).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_relset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => m1_subset_1(k3_relset_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ).
fof(dt_k7_lattice3, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_orders_2(k7_lattice3(A)) & l1_orders_2(k7_lattice3(A))) ) ) ).
fof(dt_l1_orders_2, axiom,  (! [A] :  (l1_orders_2(A) => l1_struct_0(A)) ) ).
fof(dt_l1_struct_0, axiom, $true).
fof(dt_m1_subset_1, axiom, $true).
fof(dt_u1_orders_2, axiom,  (! [A] :  (l1_orders_2(A) => m1_subset_1(u1_orders_2(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ).
fof(dt_u1_struct_0, axiom, $true).
fof(existence_l1_orders_2, axiom,  (? [A] : l1_orders_2(A)) ).
fof(existence_l1_struct_0, axiom,  (? [A] : l1_struct_0(A)) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(free_g1_orders_2, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C, D] :  (g1_orders_2(A, B)=g1_orders_2(C, D) =>  (A=C & B=D) ) ) ) ) ).
fof(involutiveness_k2_relat_1, axiom,  (! [A] :  (v1_relat_1(A) => k2_relat_1(k2_relat_1(A))=A) ) ).
fof(involutiveness_k3_relset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => k3_relset_1(A, B, k3_relset_1(A, B, C))=C) ) ).
fof(rc1_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (v1_waybel_0(B, A) & v2_waybel_0(B, A)) ) ) ) ) ).
fof(redefinition_k3_relset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => k3_relset_1(A, B, C)=k2_relat_1(C)) ) ).
fof(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
fof(t26_yellow_7, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  ( (v1_waybel_0(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  <=>  (v2_waybel_0(B, k7_lattice3(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k7_lattice3(A))))) ) ) ) ) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t4_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_orders_2(B) =>  (g1_orders_2(u1_struct_0(A), u1_orders_2(A))=g1_orders_2(u1_struct_0(B), u1_orders_2(B)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  ( (C=D & v2_waybel_0(C, A))  => v2_waybel_0(D, B)) ) ) ) ) ) ) ) ) ) ).
