% Mizar problem: t30_bvfunc24,bvfunc24,1816,73 
fof(t30_bvfunc24,conjecture,(
    ! [A,B,C,D,E,F,G,H,I] : k1_bvfunc24(A,B,C,D,E,F,G,H,I) = k2_xboole_0(k2_enumset1(A,B,C,D),k3_enumset1(E,F,G,H,I)) ),
    inference(mizar_bg_added,[status(thm)],[commutativity_k2_xboole_0,idempotence_k2_xboole_0,dt_k1_bvfunc24,dt_k2_enumset1,dt_k2_xboole_0,dt_k3_enumset1,l28_bvfunc24]),
    [file(bvfunc24,t30_bvfunc24)]).

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

fof(dt_k1_bvfunc24,axiom,(
    $true ),
    file(bvfunc24,k1_bvfunc24),
    []).

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

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

fof(dt_k3_enumset1,axiom,(
    $true ),
    file(enumset1,k3_enumset1),
    []).

fof(l28_bvfunc24,axiom,(
    ! [A,B,C,D,E,F,G,H,I] : k1_bvfunc24(A,B,C,D,E,F,G,H,I) = k2_xboole_0(k2_enumset1(A,B,C,D),k3_enumset1(E,F,G,H,I)) ),
    file(bvfunc24,l28_bvfunc24),
    []).