% Mizar problem: t10_mcart_5,mcart_5,1052,24 
fof(t10_mcart_5,conjecture,(
    ! [A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P] : 
      ( k1_mcart_5(A,B,C,D,E,F,G,H) = k1_mcart_5(I,J,K,L,M,N,O,P)
     => ( A = I
        & B = J
        & C = K
        & D = L
        & E = M
        & F = N
        & G = O
        & H = P ) ) ),
    inference(mizar_bg_added,[status(thm)],[d1_mcart_5,dt_k1_mcart_4,dt_k1_mcart_5,dt_k4_tarski,t33_zfmisc_1,t9_mcart_4]),
    [file(mcart_5,t10_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_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(t33_zfmisc_1,axiom,(
    ! [A,B,C,D] : 
      ( k4_tarski(A,B) = k4_tarski(C,D)
     => ( A = C
        & B = D ) ) ),
    file(zfmisc_1,t33_zfmisc_1),
    []).

fof(t9_mcart_4,axiom,(
    ! [A,B,C,D,E,F,G,H,I,J,K,L,M,N] : 
      ( k1_mcart_4(A,B,C,D,E,F,G) = k1_mcart_4(H,I,J,K,L,M,N)
     => ( A = H
        & B = I
        & C = J
        & D = K
        & E = L
        & F = M
        & G = N ) ) ),
    file(mcart_4,t9_mcart_4),
    []).