% Mizar problem: t23_xcmplx_1,xcmplx_1,119,25 
fof(t23_xcmplx_1,conjecture,(
    ! [A] : 
      ( v1_xcmplx_0(A)
     => ! [B] : 
          ( v1_xcmplx_0(B)
         => ! [C] : 
              ( v1_xcmplx_0(C)
             => k6_xcmplx_0(k6_xcmplx_0(A,B),k6_xcmplx_0(A,C)) = k6_xcmplx_0(C,B) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[dt_k6_xcmplx_0,rc1_xcmplx_0,fc4_xcmplx_0]),
    [file(xcmplx_1,t23_xcmplx_1)]).

fof(dt_k6_xcmplx_0,axiom,(
    $true ),
    file(xcmplx_0,k6_xcmplx_0),
    []).

fof(rc1_xcmplx_0,axiom,(
    ? [A] : v1_xcmplx_0(A) ),
    file(xcmplx_0,rc1_xcmplx_0),
    []).

fof(fc4_xcmplx_0,axiom,(
    ! [A,B] : 
      ( ( v1_xcmplx_0(A)
        & v1_xcmplx_0(B) )
     => v1_xcmplx_0(k6_xcmplx_0(A,B)) ) ),
    file(xcmplx_0,fc4_xcmplx_0),
    []).