% Mizar problem: t7_mcart_5,mcart_5,1022,46 
fof(t7_mcart_5,conjecture,(
    ! [A,B,C,D,E,F,G,H] : k1_mcart_5(A,B,C,D,E,F,G,H) = k1_mcart_2(k4_mcart_1(A,B,C,D),E,F,G,H) ),
    inference(mizar_bg_added,[status(thm)],[d1_mcart_5,dt_k1_mcart_2,dt_k1_mcart_4,dt_k1_mcart_5,dt_k4_mcart_1,dt_k4_tarski,t31_mcart_1,t3_mcart_2,t3_mcart_5]),
    [file(mcart_5,t7_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_2,axiom,(
    $true ),
    file(mcart_2,k1_mcart_2),
    []).

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_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_2,axiom,(
    ! [A,B,C,D,E] : k1_mcart_2(A,B,C,D,E) = k4_tarski(k4_tarski(k4_tarski(k4_tarski(A,B),C),D),E) ),
    file(mcart_2,t3_mcart_2),
    []).

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),
    []).