% Mizar problem: t112_absred_0,absred_0,1563,7 
fof(t112_absred_0, conjecture,  (! [A] :  (l1_absred_0(A) =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v2_absred_0(B, A)) )  => v4_absred_0(A)) ) ) ).
fof(cc1_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v2_absred_0(B, A) => v3_absred_0(B, A)) ) ) ) ) ).
fof(d12_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)) =>  (r9_absred_0(A, B, C) <=>  (v2_absred_0(B, A) & r3_absred_0(A, C, B)) ) ) ) ) ) ) ) ).
fof(d13_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v3_absred_0(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & r9_absred_0(A, C, B)) ) ) ) ) ) ) ).
fof(d14_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v4_absred_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v3_absred_0(B, A)) ) ) ) ) ).
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_r3_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))) )  => r3_absred_0(A, B, B)) ) ).
fof(t102_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v2_absred_0(B, A) => r9_absred_0(A, B, B)) ) ) ) ) ).
