% Mizar problem: t103_enumset1,enumset1,692,34 
fof(t103_enumset1,conjecture,(
    ! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_enumset1(A,B,D,C) ),
    inference(mizar_bg_added,[status(thm)],[commutativity_k2_xboole_0,dt_k1_enumset1,dt_k1_tarski,dt_k2_enumset1,dt_k2_xboole_0,idempotence_k2_xboole_0,t44_enumset1,t98_enumset1]),
    [file(enumset1,t103_enumset1)]).

fof(commutativity_k2_xboole_0,axiom,(
    ! [A,B] : k2_xboole_0(A,B) = k2_xboole_0(B,A) ),
    file(xboole_0,k2_xboole_0),
    []).

fof(dt_k1_enumset1,axiom,(
    $true ),
    file(enumset1,k1_enumset1),
    []).

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

fof(dt_k2_enumset1,axiom,(
    $true ),
    file(enumset1,k2_enumset1),
    []).

fof(dt_k2_xboole_0,axiom,(
    $true ),
    file(xboole_0,k2_xboole_0),
    []).

fof(idempotence_k2_xboole_0,axiom,(
    ! [A,B] : k2_xboole_0(A,A) = A ),
    file(xboole_0,k2_xboole_0),
    []).

fof(t44_enumset1,axiom,(
    ! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_xboole_0(k1_tarski(A),k1_enumset1(B,C,D)) ),
    file(enumset1,t44_enumset1),
    []).

fof(t98_enumset1,axiom,(
    ! [A,B,C] : k1_enumset1(A,B,C) = k1_enumset1(A,C,B) ),
    file(enumset1,t98_enumset1),
    []).