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[roconnor AT theorem.ca]

Is there a theorem such as

Theorem Zdiv_eucl_unique :
 forall b q1 q2 r1 r2:Z, b <> 0 ->
  0 <= r1 < Zabs b -> 0 <= r2 < Zabs b ->
  b*q1 + r1=b*q2+r2 -> q1=q2/\r1=r2.

somewhere in the standard library?

I made a proof, but I'd rather use one from the standard library if it 
exists.

--
Russell O'Connor                                      <http://r6.ca/>
``All talk about `theft,''' the general counsel of the American Graphophone
Company wrote, ``is the merest claptrap, for there exists no property in
ideas musical, literary or artistic, except as defined by statute.''