% Mizar problem: t18_mcart_6,mcart_6,1377,49 
fof(t18_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_4(k3_zfmisc_1(A,B,C),D,E,F,G,H,I) ),
    inference(mizar_bg_added,[status(thm)],[d2_mcart_6,d3_zfmisc_1,dt_k2_mcart_4,dt_k2_mcart_5,dt_k2_mcart_6,dt_k2_zfmisc_1,dt_k3_zfmisc_1,t11_mcart_4,t12_mcart_6]),
    [file(mcart_6,t18_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(d3_zfmisc_1,axiom,(
    ! [A,B,C] : k3_zfmisc_1(A,B,C) = k2_zfmisc_1(k2_zfmisc_1(A,B),C) ),
    file(zfmisc_1,d3_zfmisc_1),
    []).

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_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_k3_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k3_zfmisc_1),
    []).

fof(t11_mcart_4,axiom,(
    ! [A,B,C,D,E,F,G] : k2_mcart_4(A,B,C,D,E,F,G) = 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) ),
    file(mcart_4,t11_mcart_4),
    []).

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),
    []).