% Mizar problem: t8_mcart_6,mcart_6,1269,47 
fof(t8_mcart_6,conjecture,(
    ! [A,B,C,D,E,F,G,H,I] : k1_mcart_6(A,B,C,D,E,F,G,H,I) = k1_mcart_3(k4_mcart_1(A,B,C,D),E,F,G,H,I) ),
    inference(mizar_bg_added,[status(thm)],[d1_mcart_6,dt_k1_mcart_3,dt_k1_mcart_5,dt_k1_mcart_6,dt_k4_mcart_1,dt_k4_tarski,t31_mcart_1,t3_mcart_3,t3_mcart_6]),
    [file(mcart_6,t8_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(dt_k1_mcart_3,axiom,(
    $true ),
    file(mcart_3,k1_mcart_3),
    []).

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_k4_mcart_1,axiom,(
    $true ),
    file(mcart_1,k4_mcart_1),
    []).

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

fof(t31_mcart_1,axiom,(
    ! [A,B,C,D] : k4_mcart_1(A,B,C,D) = k4_tarski(k4_tarski(k4_tarski(A,B),C),D) ),
    file(mcart_1,t31_mcart_1),
    []).

fof(t3_mcart_3,axiom,(
    ! [A,B,C,D,E,F] : k1_mcart_3(A,B,C,D,E,F) = k4_tarski(k4_tarski(k4_tarski(k4_tarski(k4_tarski(A,B),C),D),E),F) ),
    file(mcart_3,t3_mcart_3),
    []).

fof(t3_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(k4_tarski(k4_tarski(k4_tarski(k4_tarski(k4_tarski(k4_tarski(k4_tarski(A,B),C),D),E),F),G),H),I) ),
    file(mcart_6,t3_mcart_6),
    []).