% Mizar problem: t5_mcart_4,mcart_4,759,46 
fof(t5_mcart_4,conjecture,(
    ! [A,B,C,D,E,F,G] : k1_mcart_4(A,B,C,D,E,F,G) = k3_mcart_1(k1_mcart_2(A,B,C,D,E),F,G) ),
    inference(mizar_bg_added,[status(thm)],[d1_mcart_4,d3_mcart_1,dt_k1_mcart_2,dt_k1_mcart_3,dt_k1_mcart_4,dt_k3_mcart_1,dt_k4_tarski,t3_mcart_2,t3_mcart_4]),
    [file(mcart_4,t5_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(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(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_k1_mcart_4,axiom,(
    $true ),
    file(mcart_4,k1_mcart_4),
    []).

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

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

fof(t3_mcart_2,axiom,(
    ! [A,B,C,D,E] : k1_mcart_2(A,B,C,D,E) = k4_tarski(k4_tarski(k4_tarski(k4_tarski(A,B),C),D),E) ),
    file(mcart_2,t3_mcart_2),
    []).

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),
    []).