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+Require Import Structures.OrderedType.
+Require Import Structures.OrderedTypeEx.
+
+Module Type M. Parameter X : Type.
+
+Declare Module Export XOrd : OrderedType
+ with Definition t := X
+ with Definition eq := @Logic.eq X.
+End M.
+
+Module M' : M.
+ Definition X := nat.
+
+ Module XOrd := Nat_as_OT.
+End M'.
+
+Module Type MyOt.
+ Parameter t : Type.
+ Parameter eq : t -> t -> Prop.
+End MyOt.
+
+Module Type M2. Parameter X : Type.
+
+Declare Module Export XOrd : MyOt
+ with Definition t := X
+ with Definition eq := @Logic.eq X.
+End M2.