% Mizar problem: t83_enumset1,enumset1,562,31 
fof(t83_enumset1,conjecture,(
    ! [A,B] : k3_enumset1(A,A,A,A,B) = k2_tarski(A,B) ),
    inference(mizar_bg_added,[status(thm)],[commutativity_k2_tarski,dt_k1_enumset1,dt_k2_tarski,dt_k3_enumset1,t70_enumset1,t78_enumset1]),
    [file(enumset1,t83_enumset1)]).

fof(commutativity_k2_tarski,axiom,(
    ! [A,B] : k2_tarski(A,B) = k2_tarski(B,A) ),
    file(tarski,k2_tarski),
    []).

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

fof(dt_k2_tarski,axiom,(
    $true ),
    file(tarski,k2_tarski),
    []).

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

fof(t70_enumset1,axiom,(
    ! [A,B] : k1_enumset1(A,A,B) = k2_tarski(A,B) ),
    file(enumset1,t70_enumset1),
    []).

fof(t78_enumset1,axiom,(
    ! [A,B,C] : k3_enumset1(A,A,A,B,C) = k1_enumset1(A,B,C) ),
    file(enumset1,t78_enumset1),
    []).
