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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.
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