% Mizar problem: t3_mcart_3,mcart_3,540,38 
fof(t3_mcart_3,conjecture,(
    ! [A,B,C,D,E,F] : k1_mcart_3(A,B,C,D,E,F) = k4_tarski(k4_tarski(k4_tarski(k4_tarski(k4_tarski(A,B),C),D),E),F) ),
    inference(mizar_bg_added,[status(thm)],[d1_mcart_2,d1_mcart_3,d3_mcart_1,d4_mcart_1,dt_k1_mcart_2,dt_k1_mcart_3,dt_k3_mcart_1,dt_k4_mcart_1,dt_k4_tarski]),
    [file(mcart_3,t3_mcart_3)]).

fof(d1_mcart_2,axiom,(
    ! [A,B,C,D,E] : k1_mcart_2(A,B,C,D,E) = k4_tarski(k4_mcart_1(A,B,C,D),E) ),
    file(mcart_2,d1_mcart_2),
    []).

fof(d1_mcart_3,axiom,(
    ! [A,B,C,D,E,F] : k1_mcart_3(A,B,C,D,E,F) = k4_tarski(k1_mcart_2(A,B,C,D,E),F) ),
    file(mcart_3,d1_mcart_3),
    []).

fof(d3_mcart_1,axiom,(
    ! [A,B,C] : k3_mcart_1(A,B,C) = k4_tarski(k4_tarski(A,B),C) ),
    file(mcart_1,d3_mcart_1),
    []).

fof(d4_mcart_1,axiom,(
    ! [A,B,C,D] : k4_mcart_1(A,B,C,D) = k4_tarski(k3_mcart_1(A,B,C),D) ),
    file(mcart_1,d4_mcart_1),
    []).

fof(dt_k1_mcart_2,axiom,(
    $true ),
    file(mcart_2,k1_mcart_2),
    []).

fof(dt_k1_mcart_3,axiom,(
    $true ),
    file(mcart_3,k1_mcart_3),
    []).

fof(dt_k3_mcart_1,axiom,(
    $true ),
    file(mcart_1,k3_mcart_1),
    []).

fof(dt_k4_mcart_1,axiom,(
    $true ),
    file(mcart_1,k4_mcart_1),
    []).

fof(dt_k4_tarski,axiom,(
    $true ),
    file(tarski,k4_tarski),
    []).