% Mizar problem: t71_absred_0,absred_0,873,7 
fof(t71_absred_0, conjecture,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (r2_absred_0(A, C, B) | r5_absred_0(A, B, C))  => r6_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(d2_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_absred_0(A, B, C) <=>  (B=C | r1_absred_0(A, B, C)) ) ) ) ) ) ) ) ).
fof(d5_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r5_absred_0(A, B, C) <=>  (r1_absred_0(A, B, C) | r1_absred_0(A, C, B)) ) ) ) ) ) ) ) ).
fof(d6_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r6_absred_0(A, B, C) <=>  (B=C | r5_absred_0(A, B, C)) ) ) ) ) ) ) ) ).
fof(dt_l1_absred_0, axiom,  (! [A] :  (l1_absred_0(A) => l1_struct_0(A)) ) ).
fof(dt_l1_struct_0, axiom, $true).
fof(dt_m1_subset_1, axiom, $true).
fof(dt_u1_struct_0, axiom, $true).
fof(existence_l1_absred_0, axiom,  (? [A] : l1_absred_0(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(reflexivity_r2_absred_0, axiom,  (! [A, B, C] :  ( (l1_absred_0(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => r2_absred_0(A, B, B)) ) ).
fof(reflexivity_r6_absred_0, axiom,  (! [A, B, C] :  ( (l1_absred_0(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => r6_absred_0(A, B, B)) ) ).
fof(symmetry_r5_absred_0, axiom,  (! [A, B, C] :  ( (l1_absred_0(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r5_absred_0(A, B, C) => r5_absred_0(A, C, B)) ) ) ).
fof(symmetry_r6_absred_0, axiom,  (! [A, B, C] :  ( (l1_absred_0(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r6_absred_0(A, B, C) => r6_absred_0(A, C, B)) ) ) ).
