% Mizar problem: t50_frechet2,frechet2,2404,19 
fof(t50_frechet2,conjecture,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ~ ( ~ v1_finset_1(k1_relat_1(A))
          & v2_funct_1(A)
          & v1_finset_1(k2_relat_1(A)) ) ) ),
    inference(mizar_bg_added,[status(thm)],[dt_k1_relat_1,dt_k2_relat_1,rc1_funct_1,rc3_funct_1,l54_frechet2]),
    [file(frechet2,t50_frechet2)]).

fof(dt_k1_relat_1,axiom,(
    $true ),
    file(relat_1,k1_relat_1),
    []).

fof(dt_k2_relat_1,axiom,(
    $true ),
    file(relat_1,k2_relat_1),
    []).

fof(rc1_funct_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A) ) ),
    file(funct_1,rc1_funct_1),
    []).

fof(rc3_funct_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A) ) ),
    file(funct_1,rc3_funct_1),
    []).

fof(l54_frechet2,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ~ ( ~ v1_finset_1(k1_relat_1(A))
          & v2_funct_1(A)
          & v1_finset_1(k2_relat_1(A)) ) ) ),
    file(frechet2,l54_frechet2),
    []).