% Mizar problem: t7_boole,boole,116,54 
fof(t7_boole,conjecture,(
    ! [A,B] : ~ ( r2_hidden(A,B)
      & v1_xboole_0(B) ) ),
    inference(mizar_bg_added,[status(thm)],[antisymmetry_r2_hidden,d1_xboole_0,d5_xboole_0,dt_k1_xboole_0,fc1_xboole_0,rc1_xboole_0,rc2_xboole_0]),
    [file(boole,t7_boole)]).

fof(antisymmetry_r2_hidden,axiom,(
    ! [A,B] : 
      ( r2_hidden(A,B)
     => ~ r2_hidden(B,A) ) ),
    file(hidden,r2_hidden),
    []).

fof(d1_xboole_0,axiom,(
    ! [A] : 
      ( A = k1_xboole_0
    <=> ! [B] : ~ r2_hidden(B,A) ) ),
    file(xboole_0,d1_xboole_0),
    []).

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

fof(dt_k1_xboole_0,axiom,(
    $true ),
    file(xboole_0,k1_xboole_0),
    []).

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

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

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