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+(** Omega is now aware of the bodies of context variables
+    (of type Z or nat). *)
+
+Require Import ZArith Omega.
+Open Scope Z.
+
+Goal let x := 3 in x = 3.
+intros.
+omega.
+Qed.
+
+Open Scope nat.
+
+Goal let x := 2 in x = 2.
+intros.
+omega.
+Qed.
+
+(** NB: this could be disabled for compatibility reasons *)
+
+Unset Omega UseLocalDefs.
+
+Goal let x := 4 in x = 4.
+intros.
+Fail omega.
+Abort.