% Mizar problem: t48_frechet2,frechet2,2395,25 
fof(t48_frechet2,conjecture,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ( v3_compts_1(A)
       => v1_urysohn1(A) ) ) ),
    inference(mizar_bg_added,[status(thm)],[existence_l1_struct_0,dt_l1_struct_0,rc3_struct_0,existence_l1_pre_topc,dt_l1_pre_topc,l4_frechet2]),
    [file(frechet2,t48_frechet2)]).

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

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

fof(rc3_struct_0,axiom,(
    ? [A] : 
      ( l1_struct_0(A)
      & ~ v3_struct_0(A) ) ),
    file(struct_0,rc3_struct_0),
    []).

fof(existence_l1_pre_topc,axiom,(
    ? [A] : l1_pre_topc(A) ),
    file(pre_topc,l1_pre_topc),
    []).

fof(dt_l1_pre_topc,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => l1_struct_0(A) ) ),
    file(pre_topc,l1_pre_topc),
    []).

fof(l4_frechet2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ( v3_compts_1(A)
       => v1_urysohn1(A) ) ) ),
    file(frechet2,l4_frechet2),
    []).