% Mizar problem: t9_mcart_5,mcart_5,1040,41 
fof(t9_mcart_5,conjecture,(
    ! [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) ),
    inference(mizar_bg_added,[status(thm)],[d1_mcart_5,dt_k1_mcart_3,dt_k1_mcart_4,dt_k1_mcart_5,dt_k4_tarski,t3_mcart_3,t3_mcart_5,t8_mcart_4]),
    [file(mcart_5,t9_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(dt_k1_mcart_3,axiom,(
    $true ),
    file(mcart_3,k1_mcart_3),
    []).

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_k4_tarski,axiom,(
    $true ),
    file(tarski,k4_tarski),
    []).

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_5,axiom,(
    ! [A,B,C,D,E,F,G,H] : k1_mcart_5(A,B,C,D,E,F,G,H) = k4_tarski(k4_tarski(k4_tarski(k4_tarski(k4_tarski(k4_tarski(k4_tarski(A,B),C),D),E),F),G),H) ),
    file(mcart_5,t3_mcart_5),
    []).

fof(t8_mcart_4,axiom,(
    ! [A,B,C,D,E,F,G] : k1_mcart_4(A,B,C,D,E,F,G) = k1_mcart_3(k4_tarski(A,B),C,D,E,F,G) ),
    file(mcart_4,t8_mcart_4),
    []).