% Mizar problem: t29_mcart_6,mcart_6,1829,38 
fof(t29_mcart_6,conjecture,(
    ! [A,B,C,D,E,F,G,H,I] : k2_mcart_6(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(I)) = k1_tarski(k1_mcart_6(A,B,C,D,E,F,G,H,I)) ),
    inference(mizar_bg_added,[status(thm)],[d1_mcart_6,d2_mcart_6,dt_k1_mcart_5,dt_k1_mcart_6,dt_k1_tarski,dt_k2_mcart_5,dt_k2_mcart_6,dt_k2_zfmisc_1,dt_k4_tarski,t10_mcart_6,t19_mcart_6,t29_mcart_5,t35_zfmisc_1]),
    [file(mcart_6,t29_mcart_6)]).

fof(d1_mcart_6,axiom,(
    ! [A,B,C,D,E,F,G,H,I] : k1_mcart_6(A,B,C,D,E,F,G,H,I) = k4_tarski(k1_mcart_5(A,B,C,D,E,F,G,H),I) ),
    file(mcart_6,d1_mcart_6),
    []).

fof(d2_mcart_6,axiom,(
    ! [A,B,C,D,E,F,G,H,I] : k2_mcart_6(A,B,C,D,E,F,G,H,I) = k2_zfmisc_1(k2_mcart_5(A,B,C,D,E,F,G,H),I) ),
    file(mcart_6,d2_mcart_6),
    []).

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

fof(dt_k1_mcart_6,axiom,(
    $true ),
    file(mcart_6,k1_mcart_6),
    []).

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

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

fof(dt_k2_mcart_6,axiom,(
    $true ),
    file(mcart_6,k2_mcart_6),
    []).

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

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

fof(t10_mcart_6,axiom,(
    ! [A,B,C,D,E,F,G,H,I] : k1_mcart_6(A,B,C,D,E,F,G,H,I) = k1_mcart_5(k4_tarski(A,B),C,D,E,F,G,H,I) ),
    file(mcart_6,t10_mcart_6),
    []).

fof(t19_mcart_6,axiom,(
    ! [A,B,C,D,E,F,G,H,I] : k2_mcart_6(A,B,C,D,E,F,G,H,I) = k2_mcart_5(k2_zfmisc_1(A,B),C,D,E,F,G,H,I) ),
    file(mcart_6,t19_mcart_6),
    []).

fof(t29_mcart_5,axiom,(
    ! [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)) ),
    file(mcart_5,t29_mcart_5),
    []).

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),
    []).