% Mizar problem: t11_yellow_7,yellow_7,286,5 
fof(t11_yellow_7, conjecture,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (r1_yellow_0(k7_lattice3(A), B) <=> r2_yellow_0(A, B)) ) ) ) ).
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(d7_yellow_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (r1_yellow_0(A, B) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (r2_lattice3(A, B, C) &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_lattice3(A, B, D) => r1_orders_2(A, C, D)) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_lattice3(A, B, D) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_lattice3(A, B, E) => r1_orders_2(A, D, E)) ) ) )  => D=C) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_yellow_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (r2_yellow_0(A, B) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (r1_lattice3(A, B, C) &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_lattice3(A, B, D) => r1_orders_2(A, D, C)) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_lattice3(A, B, D) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_lattice3(A, B, E) => r1_orders_2(A, E, D)) ) ) )  => D=C) ) ) ) ) ) ) ) ) ) ) ).
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(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(t10_yellow_7, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (r1_yellow_0(A, B) <=> r2_yellow_0(k7_lattice3(A), B)) ) ) ) ).
fof(t14_yellow_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] :  ( (r1_yellow_0(A, C) => r1_yellow_0(B, C))  &  (r2_yellow_0(A, C) => r2_yellow_0(B, C)) ) ) ) ) ) ) ) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
