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+Parameter compare : (n,m:nat)({(lt n m)}+{n=m})+{(gt n m)}.
+Type <nat>Cases (compare O O) of
+ (* k<i *) (left _ _ (left _ _ _)) => O
+ | (* k=i *) (left _ _ _) => O
+ | (* k>i *) (right _ _ _) => O end.
+