% Mizar problem: t7_mcart_3,mcart_3,567,35 
fof(t7_mcart_3,conjecture,(
    ! [A,B,C,D,E,F] : k1_mcart_3(A,B,C,D,E,F) = k1_mcart_2(k4_tarski(A,B),C,D,E,F) ),
    inference(mizar_bg_added,[status(thm)],[d1_mcart_3,dt_k1_mcart_2,dt_k1_mcart_3,dt_k4_mcart_1,dt_k4_tarski,t31_mcart_1,t3_mcart_3,t6_mcart_2]),
    [file(mcart_3,t7_mcart_3)]).

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(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_k4_mcart_1,axiom,(
    $true ),
    file(mcart_1,k4_mcart_1),
    []).

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

fof(t31_mcart_1,axiom,(
    ! [A,B,C,D] : k4_mcart_1(A,B,C,D) = k4_tarski(k4_tarski(k4_tarski(A,B),C),D) ),
    file(mcart_1,t31_mcart_1),
    []).

fof(t3_mcart_3,axiom,(
    ! [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) ),
    file(mcart_3,t3_mcart_3),
    []).

fof(t6_mcart_2,axiom,(
    ! [A,B,C,D,E] : k1_mcart_2(A,B,C,D,E) = k4_mcart_1(k4_tarski(A,B),C,D,E) ),
    file(mcart_2,t6_mcart_2),
    []).