% Mizar problem: t29_mcart_5,mcart_5,1675,35 
fof(t29_mcart_5,conjecture,(
    ! [A,B,C,D,E,F,G,H] : k2_mcart_5(k1_tarski(A),k1_tarski(B),k1_tarski(C),k1_tarski(D),k1_tarski(E),k1_tarski(F),k1_tarski(G),k1_tarski(H)) = k1_tarski(k1_mcart_5(A,B,C,D,E,F,G,H)) ),
    inference(mizar_bg_added,[status(thm)],[d1_mcart_5,d2_mcart_5,dt_k1_mcart_4,dt_k1_mcart_5,dt_k1_tarski,dt_k2_mcart_4,dt_k2_mcart_5,dt_k2_zfmisc_1,dt_k4_tarski,t18_mcart_5,t27_mcart_4,t35_zfmisc_1,t9_mcart_5]),
    [file(mcart_5,t29_mcart_5)]).

fof(d1_mcart_5,axiom,(
    ! [A,B,C,D,E,F,G,H] : k1_mcart_5(A,B,C,D,E,F,G,H) = k4_tarski(k1_mcart_4(A,B,C,D,E,F,G),H) ),
    file(mcart_5,d1_mcart_5),
    []).

fof(d2_mcart_5,axiom,(
    ! [A,B,C,D,E,F,G,H] : k2_mcart_5(A,B,C,D,E,F,G,H) = k2_zfmisc_1(k2_mcart_4(A,B,C,D,E,F,G),H) ),
    file(mcart_5,d2_mcart_5),
    []).

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

fof(dt_k1_mcart_5,axiom,(
    $true ),
    file(mcart_5,k1_mcart_5),
    []).

fof(dt_k1_tarski,axiom,(
    $true ),
    file(tarski,k1_tarski),
    []).

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

fof(dt_k2_mcart_5,axiom,(
    $true ),
    file(mcart_5,k2_mcart_5),
    []).

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

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

fof(t18_mcart_5,axiom,(
    ! [A,B,C,D,E,F,G,H] : k2_mcart_5(A,B,C,D,E,F,G,H) = k2_mcart_4(k2_zfmisc_1(A,B),C,D,E,F,G,H) ),
    file(mcart_5,t18_mcart_5),
    []).

fof(t27_mcart_4,axiom,(
    ! [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)) ),
    file(mcart_4,t27_mcart_4),
    []).

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(t9_mcart_5,axiom,(
    ! [A,B,C,D,E,F,G,H] : k1_mcart_5(A,B,C,D,E,F,G,H) = k1_mcart_4(k4_tarski(A,B),C,D,E,F,G,H) ),
    file(mcart_5,t9_mcart_5),
    []).