% Mizar problem: t6_mcart_4,mcart_4,768,43 
fof(t6_mcart_4,conjecture,(
    ! [A,B,C,D,E,F,G] : k1_mcart_4(A,B,C,D,E,F,G) = k4_mcart_1(k4_mcart_1(A,B,C,D),E,F,G) ),
    inference(mizar_bg_added,[status(thm)],[d1_mcart_4,dt_k1_mcart_3,dt_k1_mcart_4,dt_k4_mcart_1,dt_k4_tarski,t31_mcart_1,t3_mcart_4]),
    [file(mcart_4,t6_mcart_4)]).

fof(d1_mcart_4,axiom,(
    ! [A,B,C,D,E,F,G] : k1_mcart_4(A,B,C,D,E,F,G) = k4_tarski(k1_mcart_3(A,B,C,D,E,F),G) ),
    file(mcart_4,d1_mcart_4),
    []).

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

fof(dt_k1_mcart_4,axiom,(
    $true ),
    file(mcart_4,k1_mcart_4),
    []).

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_4,axiom,(
    ! [A,B,C,D,E,F,G] : k1_mcart_4(A,B,C,D,E,F,G) = k4_tarski(k4_tarski(k4_tarski(k4_tarski(k4_tarski(k4_tarski(A,B),C),D),E),F),G) ),
    file(mcart_4,t3_mcart_4),
    []).