Module OTconvert (O : OrderedType) : OrderedType.OrderedType
with Definition t := O.t
with Definition eq := O.eq
with Definition lt := O.lt.
Definition t := O.t.
Definition eq := O.eq.
Definition lt := O.lt.
Definition eq_refl : forall x, eq x x := reflexivity.

Lemma eq_sym : forall x y : t, eq x y -> eq y x.