Module Backport_OT (O:OrderedType) <: OrderedTypeOrig.
Include Backport_DT O. (* Provides : t eq eq_refl eq_sym eq_trans eq_dec *)
Definition lt := O.lt.
Instance lt_strorder : StrictOrder lt.
Instance lt_compat : Proper (eq==>eq==>iff) lt.
Definition compare := O.compare.

Lemma compare_spec : forall x y, CompSpec eq lt x y (compare x y).