% Mizar problem: t27_mcart_4,mcart_4,1359,32 
fof(t27_mcart_4,conjecture,(
    ! [A,B,C,D,E,F,G] : k2_mcart_4(k1_tarski(A),k1_tarski(B),k1_tarski(C),k1_tarski(D),k1_tarski(E),k1_tarski(F),k1_tarski(G)) = k1_tarski(k1_mcart_4(A,B,C,D,E,F,G)) ),
    inference(mizar_bg_added,[status(thm)],[d1_mcart_4,d2_mcart_4,dt_k1_mcart_3,dt_k1_mcart_4,dt_k1_tarski,dt_k2_mcart_3,dt_k2_mcart_4,dt_k2_zfmisc_1,dt_k4_tarski,t16_mcart_4,t25_mcart_3,t35_zfmisc_1,t8_mcart_4]),
    [file(mcart_4,t27_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(d2_mcart_4,axiom,(
    ! [A,B,C,D,E,F,G] : k2_mcart_4(A,B,C,D,E,F,G) = k2_zfmisc_1(k2_mcart_3(A,B,C,D,E,F),G) ),
    file(mcart_4,d2_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_k1_tarski,axiom,(
    $true ),
    file(tarski,k1_tarski),
    []).

fof(dt_k2_mcart_3,axiom,(
    $true ),
    file(mcart_3,k2_mcart_3),
    []).

fof(dt_k2_mcart_4,axiom,(
    $true ),
    file(mcart_4,k2_mcart_4),
    []).

fof(dt_k2_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k2_zfmisc_1),
    []).

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

fof(t16_mcart_4,axiom,(
    ! [A,B,C,D,E,F,G] : k2_mcart_4(A,B,C,D,E,F,G) = k2_mcart_3(k2_zfmisc_1(A,B),C,D,E,F,G) ),
    file(mcart_4,t16_mcart_4),
    []).

fof(t25_mcart_3,axiom,(
    ! [A,B,C,D,E,F] : k2_mcart_3(k1_tarski(A),k1_tarski(B),k1_tarski(C),k1_tarski(D),k1_tarski(E),k1_tarski(F)) = k1_tarski(k1_mcart_3(A,B,C,D,E,F)) ),
    file(mcart_3,t25_mcart_3),
    []).

fof(t35_zfmisc_1,axiom,(
    ! [A,B] : k2_zfmisc_1(k1_tarski(A),k1_tarski(B)) = k1_tarski(k4_tarski(A,B)) ),
    file(zfmisc_1,t35_zfmisc_1),
    []).

fof(t8_mcart_4,axiom,(
    ! [A,B,C,D,E,F,G] : k1_mcart_4(A,B,C,D,E,F,G) = k1_mcart_3(k4_tarski(A,B),C,D,E,F,G) ),
    file(mcart_4,t8_mcart_4),
    []).