% Mizar problem: t41_zfmisc_1,zfmisc_1,681,51 
fof(t41_zfmisc_1,conjecture,(
    ! [A,B] : ~ ( A != k1_tarski(B)
      & A != k1_xboole_0
      & ! [C] : ~ ( r2_hidden(C,A)
          & C != B ) ) ),
    inference(mizar_bg_added,[status(thm)],[rc1_xboole_0,rc2_xboole_0,antisymmetry_r2_hidden,dt_k1_tarski,dt_k1_xboole_0,fc1_xboole_0,l45_zfmisc_1]),
    [file(zfmisc_1,t41_zfmisc_1)]).

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),
    []).

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

fof(dt_k1_tarski,axiom,(
    $true ),
    file(tarski,k1_tarski),
    []).

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(l45_zfmisc_1,axiom,(
    ! [A,B] : ~ ( A != k1_tarski(B)
      & A != k1_xboole_0
      & ! [C] : ~ ( r2_hidden(C,A)
          & C != B ) ) ),
    file(zfmisc_1,l45_zfmisc_1),
    []).