#[global]
Instance eqb_compat : Proper (eq==>eq==>Logic.eq) eqb.
End OrderedTypeFacts.
(** * Tests of the order tactic  Is it at least capable of proving some basic properties ? *)
Module OrderedTypeTest (Import O:OrderedType').
Module Import MO := OrderedTypeFacts O.
Local Open Scope order.

Lemma lt_not_eq x y : x<y -> ~x==y.  Proof. order. Qed.