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diff --git a/test-suite/success/Simplify_eq.v b/test-suite/success/Simplify_eq.v
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+(* Check the behaviour of Simplify_eq *)
+
+(* Check that Simplify_eq tries Intro until *)
+
+Lemma l1 : O=(S O)->False.   
+Simplify_eq 1.
+Qed.
+
+Lemma l2 : (x:nat)(H:(S x)=(S (S x)))H==H->False.   
+Simplify_eq H.
+Intros.
+Apply (n_Sn x H0).
+Qed.