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+
+(* Cf coqbugs #546 *)
+
+Require Import Omega.
+
+Section S.
+
+Variables n m : nat.
+Variable H : n<m.
+
+Inductive Dummy : nat -> Set :=
+| Dummy0 : Dummy 0
+| Dummy2 : Dummy 2
+| DummyApp : forall i j, Dummy i -> Dummy j -> Dummy (i+j).
+
+Definition Bug : Dummy (2*n).
+Proof.
+induction n.
+ simpl ; apply Dummy0.
+ replace (2 * S n0) with (2*n0 + 2) ; auto with arith.
+  apply DummyApp. 
+   2:exact Dummy2.
+   apply IHn0 ; abstract omega.
+Defined.
+
+End S.
+