% Mizar problem: t27_zfmisc_1,zfmisc_1,406,35 
fof(t27_zfmisc_1,conjecture,(
    ! [A,B,C] : 
      ( r1_tarski(k2_tarski(A,B),k1_tarski(C))
     => k2_tarski(A,B) = k1_tarski(C) ) ),
    inference(mizar_bg_added,[status(thm)],[commutativity_k2_tarski,dt_k1_tarski,dt_k2_tarski,reflexivity_r1_tarski,t26_zfmisc_1,t69_enumset1]),
    [file(zfmisc_1,t27_zfmisc_1)]).

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

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

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

fof(reflexivity_r1_tarski,axiom,(
    ! [A,B] : r1_tarski(A,A) ),
    file(tarski,r1_tarski),
    []).

fof(t26_zfmisc_1,axiom,(
    ! [A,B,C] : 
      ( r1_tarski(k2_tarski(A,B),k1_tarski(C))
     => A = C ) ),
    file(zfmisc_1,t26_zfmisc_1),
    []).

fof(t69_enumset1,axiom,(
    ! [A] : k2_tarski(A,A) = k1_tarski(A) ),
    file(enumset1,t69_enumset1),
    []).