% Mizar ND problem: t6_boole,boole,113,47 
fof(dt_k1_xboole_0,axiom,(
    $true ),
    file(xboole_0,k1_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,k1_xboole_0)]).

fof(fc1_xboole_0,theorem,(
    v1_xboole_0(k1_xboole_0) ),
    file(xboole_0,fc1_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,fc1_xboole_0)]).

fof(rc1_xboole_0,theorem,(
    ? [A] : v1_xboole_0(A) ),
    file(xboole_0,rc1_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,rc1_xboole_0)]).

fof(rc2_xboole_0,theorem,(
    ? [A] : ~ v1_xboole_0(A) ),
    file(xboole_0,rc2_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,rc2_xboole_0)]).

fof(d5_xboole_0,definition,(
    ! [A] : 
      ( v1_xboole_0(A)
    <=> A = k1_xboole_0 ) ),
    file(xboole_0,d5_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,d5_xboole_0)]).

fof(t6_boole,theorem,(
    ! [A] : 
      ( v1_xboole_0(A)
     => A = k1_xboole_0 ) ),
    inference(mizar_by,[status(thm),assumptions([])],[dt_k1_xboole_0,fc1_xboole_0,rc1_xboole_0,rc2_xboole_0,d5_xboole_0]),
    [interesting(1),file(boole,t6_boole),[file(boole,t6_boole)]]).