% Mizar problem: t46_mcart_6,mcart_6,2141,76 
fof(t46_mcart_6,conjecture,(
    ! [A,B,C,D,E,F,G,H,I,J] : 
      ( m1_subset_1(J,k1_zfmisc_1(A))
     => ! [K] : 
          ( m1_subset_1(K,k1_zfmisc_1(B))
         => ! [L] : 
              ( m1_subset_1(L,k1_zfmisc_1(C))
             => ! [M] : 
                  ( m1_subset_1(M,k1_zfmisc_1(D))
                 => ! [N] : 
                      ( m1_subset_1(N,k1_zfmisc_1(E))
                     => ! [O] : 
                          ( m1_subset_1(O,k1_zfmisc_1(F))
                         => ! [P] : 
                              ( m1_subset_1(P,k1_zfmisc_1(G))
                             => ! [Q] : 
                                  ( m1_subset_1(Q,k1_zfmisc_1(H))
                                 => ! [R] : 
                                      ( m1_subset_1(R,k1_zfmisc_1(I))
                                     => m1_subset_1(k2_mcart_6(J,K,L,M,N,O,P,Q,R),k1_zfmisc_1(k2_mcart_6(A,B,C,D,E,F,G,H,I))) ) ) ) ) ) ) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[dt_k2_mcart_5,dt_k2_zfmisc_1,reflexivity_r1_tarski,existence_m1_subset_1,dt_k1_zfmisc_1,dt_k2_mcart_6,dt_m1_subset_1,t3_subset,d2_mcart_6,t45_mcart_6]),
    [file(mcart_6,t46_mcart_6)]).

fof(dt_k2_mcart_5,axiom,(
    $true ),
    file(mcart_5,k2_mcart_5),
    []).

fof(dt_k2_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k2_zfmisc_1),
    []).

fof(reflexivity_r1_tarski,axiom,(
    ! [A,B] : r1_tarski(A,A) ),
    file(tarski,r1_tarski),
    []).

fof(existence_m1_subset_1,axiom,(
    ! [A] : 
    ? [B] : m1_subset_1(B,A) ),
    file(subset_1,m1_subset_1),
    []).

fof(dt_k1_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k1_zfmisc_1),
    []).

fof(dt_k2_mcart_6,axiom,(
    $true ),
    file(mcart_6,k2_mcart_6),
    []).

fof(dt_m1_subset_1,axiom,(
    $true ),
    file(subset_1,m1_subset_1),
    []).

fof(t3_subset,axiom,(
    ! [A,B] : 
      ( m1_subset_1(A,k1_zfmisc_1(B))
    <=> r1_tarski(A,B) ) ),
    file(subset,t3_subset),
    []).

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(t45_mcart_6,axiom,(
    ! [A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R] : 
      ( ( r1_tarski(A,B)
        & r1_tarski(C,D)
        & r1_tarski(E,F)
        & r1_tarski(G,H)
        & r1_tarski(I,J)
        & r1_tarski(K,L)
        & r1_tarski(M,N)
        & r1_tarski(O,P)
        & r1_tarski(Q,R) )
     => r1_tarski(k2_mcart_6(A,C,E,G,I,K,M,O,Q),k2_mcart_6(B,D,F,H,J,L,N,P,R)) ) ),
    file(mcart_6,t45_mcart_6),
    []).