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+(***********************************************************************)
+(* v * The Coq Proof Assistant / The Coq Development Team *)
+(* <O___,, * INRIA-Rocquencourt & LRI-CNRS-Orsay *)
+(* \VV/ *************************************************************)
+(* // * This file is distributed under the terms of the *)
+(* * GNU Lesser General Public License Version 2.1 *)
+(***********************************************************************)
+
+(* This needs unification on type *)
+
+Goal (n,m:nat)(eq nat (S m) (S n)).
+Intros.
+Apply f_equal.
+
+(* f_equal : (A,B:Set; f:(A->B); x,y:A)x=y->(f x)=(f y) *)
+(* and A cannot be deduced from the goal but only from the type of f, x or y *)
+
+
+(* This needs step by step unfolding *)
+
+Fixpoint T [n:nat] : Prop := Cases n of O => True | (S p) => n=n->(T p) end.
+Require Arith.
+
+Goal (T (3))->(T (1)).
+Intro H.
+Apply H.