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+Module Type T1.
+ Parameter t : Type.
+End T1.
+
+Module Type T2.
+ Declare Module M : T1.
+ Parameter t : Type.
+ Parameter test : t = M.t.
+End T2.
+
+Module M1 <: T1.
+ Definition t : Type := bool.
+End M1.
+
+Module M2 <: T2.
+ Module M := M1.
+ Definition t : Type := nat.
+ Lemma test : t = t. Proof. reflexivity. Qed.
+End M2.