% Mizar problem: t5_conmetr1,conmetr1,341,50 
fof(t5_conmetr1,conjecture,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & v2_diraf(A)
        & l1_analoaf(A) )
     => ( v4_conmetr1(A)
       => v3_conmetr1(A) ) ) ),
    inference(mizar_bg_added,[status(thm)],[dt_l1_analoaf,dt_l1_struct_0,existence_l1_analoaf,existence_l1_struct_0,t1_conmetr1,t2_conmetr1,t3_conmetr1,t4_conmetr1]),
    [file(conmetr1,t5_conmetr1)]).

fof(dt_l1_analoaf,axiom,(
    ! [A] : 
      ( l1_analoaf(A)
     => l1_struct_0(A) ) ),
    file(analoaf,l1_analoaf),
    []).

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

fof(existence_l1_analoaf,axiom,(
    ? [A] : l1_analoaf(A) ),
    file(analoaf,l1_analoaf),
    []).

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

fof(t1_conmetr1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & v2_diraf(A)
        & l1_analoaf(A) )
     => ( v4_conmetr1(A)
      <=> ( v5_conmetr1(A)
          & v6_conmetr1(A) ) ) ) ),
    file(conmetr1,t1_conmetr1),
    []).

fof(t2_conmetr1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & v2_diraf(A)
        & l1_analoaf(A) )
     => ( v3_conmetr1(A)
      <=> ( v1_conmetr1(A)
          & v2_conmetr1(A) ) ) ) ),
    file(conmetr1,t2_conmetr1),
    []).

fof(t3_conmetr1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & v2_diraf(A)
        & l1_analoaf(A) )
     => ( v5_conmetr1(A)
       => v1_conmetr1(A) ) ) ),
    file(conmetr1,t3_conmetr1),
    []).

fof(t4_conmetr1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & v2_diraf(A)
        & l1_analoaf(A) )
     => ( v6_conmetr1(A)
       => v2_conmetr1(A) ) ) ),
    file(conmetr1,t4_conmetr1),
    []).