% Mizar problem: t17_mcart_6,mcart_6,1368,52 
fof(t17_mcart_6,conjecture,(
    ! [A,B,C,D,E,F,G,H,I] : k2_mcart_6(A,B,C,D,E,F,G,H,I) = k2_mcart_3(k4_zfmisc_1(A,B,C,D),E,F,G,H,I) ),
    inference(mizar_bg_added,[status(thm)],[d2_mcart_6,dt_k2_mcart_3,dt_k2_mcart_5,dt_k2_mcart_6,dt_k2_zfmisc_1,dt_k4_zfmisc_1,t10_mcart_3,t12_mcart_6,t53_mcart_1]),
    [file(mcart_6,t17_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_k2_mcart_3,axiom,(
    $true ),
    file(mcart_3,k2_mcart_3),
    []).

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_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k4_zfmisc_1),
    []).

fof(t10_mcart_3,axiom,(
    ! [A,B,C,D,E,F] : k2_mcart_3(A,B,C,D,E,F) = k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C),D),E),F) ),
    file(mcart_3,t10_mcart_3),
    []).

fof(t12_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_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C),D),E),F),G),H),I) ),
    file(mcart_6,t12_mcart_6),
    []).

fof(t53_mcart_1,axiom,(
    ! [A,B,C,D] : k4_zfmisc_1(A,B,C,D) = k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C),D) ),
    file(mcart_1,t53_mcart_1),
    []).