% Mizar problem: t4_tex_2,tex_2,84,41 
fof(t4_tex_2,conjecture,(
    ! [A] : 
      ( l1_struct_0(A)
     => ! [B] : 
          ( l1_struct_0(B)
         => ( ( u1_struct_0(A) = u1_struct_0(B)
              & v3_realset2(A) )
           => v3_realset2(B) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[d7_realset2,dt_l1_struct_0,dt_m1_subset_1,dt_u1_struct_0,existence_l1_struct_0,existence_m1_subset_1]),
    [file(tex_2,t4_tex_2)]).

fof(d7_realset2,axiom,(
    ! [A] : 
      ( l1_struct_0(A)
     => ( v3_realset2(A)
      <=> ! [B] : 
            ( m1_subset_1(B,u1_struct_0(A))
           => ! [C] : 
                ( m1_subset_1(C,u1_struct_0(A))
               => B = C ) ) ) ) ),
    file(realset2,d7_realset2),
    []).

fof(dt_l1_struct_0,axiom,(
    $true ),
    file(struct_0,l1_struct_0),
    []).

fof(dt_m1_subset_1,axiom,(
    $true ),
    file(subset_1,m1_subset_1),
    []).

fof(dt_u1_struct_0,axiom,(
    $true ),
    file(struct_0,u1_struct_0),
    []).

fof(existence_l1_struct_0,axiom,(
    ? [A] : l1_struct_0(A) ),
    file(struct_0,l1_struct_0),
    []).

fof(existence_m1_subset_1,axiom,(
    ! [A] : 
    ? [B] : m1_subset_1(B,A) ),
    file(subset_1,m1_subset_1),
    []).