% Mizar problem: t202_xcmplx_1,xcmplx_1,1396,24 
fof(t202_xcmplx_1,conjecture,(
    ! [A] : 
      ( v1_xcmplx_0(A)
     => ! [B] : 
          ( v1_xcmplx_0(B)
         => ( k5_xcmplx_0(A) = k5_xcmplx_0(B)
           => A = B ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[involutiveness_k5_xcmplx_0,dt_k5_xcmplx_0,rc1_xcmplx_0,l71_xcmplx_1]),
    [file(xcmplx_1,t202_xcmplx_1)]).

fof(involutiveness_k5_xcmplx_0,axiom,(
    ! [A] : 
      ( v1_xcmplx_0(A)
     => k5_xcmplx_0(k5_xcmplx_0(A)) = A ) ),
    file(xcmplx_0,k5_xcmplx_0),
    []).

fof(dt_k5_xcmplx_0,axiom,(
    ! [A] : 
      ( v1_xcmplx_0(A)
     => v1_xcmplx_0(k5_xcmplx_0(A)) ) ),
    file(xcmplx_0,k5_xcmplx_0),
    []).

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

fof(l71_xcmplx_1,axiom,(
    ! [A] : 
      ( v1_xcmplx_0(A)
     => ! [B] : 
          ( v1_xcmplx_0(B)
         => ( k5_xcmplx_0(A) = k5_xcmplx_0(B)
           => A = B ) ) ) ),
    file(xcmplx_1,l71_xcmplx_1),
    []).