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+(* Testing forward reasoning *)
+
+Goal 0=0.
+Fail assert (_ = _).
+eassert (_ = _)by reflexivity.
+eassumption.
+Qed.
+
+Goal 0=0.
+Fail set (S ?[nl]).
+eset (S ?[n]).
+remember (S ?n) as x.
+instantiate (n:=0).
+Fail remember (S (S _)).
+eremember (S (S ?[x])).
+instantiate (x:=0).
+reflexivity.
+Qed.
+
+(* Don't know if it is good or not but the compatibility tells that
+ the asserted goal to prove is subject to beta-iota but not the
+ asserted hypothesis *)
+
+Goal True.
+assert ((fun x => x) False).
+Fail match goal with |- (?f ?a) => idtac end. (* should be beta-iota reduced *)
+2:match goal with _: (?f ?a) |- _ => idtac end. (* should not be beta-iota reduced *)
+Abort.
+