CompareSpec: a slight generalization/reformulation of CompSpec

 CompareSpec expects 3 propositions Peq Plt Pgt instead of 2 relations
 eq lt and 2 points x y. For the moment, we still always use (Peq=eq x y),
 (Plt=lt x y) (Pgt=lt y x), but this may not be always the case,
 especially for Pgt. The former CompSpec is now defined in term of
 CompareSpec. Compatibility is preserved (except maybe a rare unfold
 or red to break the CompSpec definition).

 Typically, CompareSpec looks nicer when we have infix notations, e.g.

  forall x y, CompareSpec (x=y) (x<y) (y<x) (x?=x)

 while CompSpec is shorter when we directly refer to predicates:

  forall x y, CompSpec eq lt x y (compare x y)

git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13914 85f007b7-540e-0410-9357-904b9bb8a0f7

1 files changed, 1 insertions, 1 deletions

diff --git a/theories/PArith/BinPos.v b/theories/PArith/BinPos.v
index 64e32c560..4570fde72 100644
--- a/theories/PArith/BinPos.v
+++ b/theories/PArith/BinPos.v
@@ -1015,7 +1015,7 @@ Proof.
   symmetry; apply Pcompare_antisym.
 Qed.
 
-Lemma Pcompare_spec : forall p q, CompSpec eq Plt p q ((p ?= q) Eq).
+Lemma Pcompare_spec : forall p q, CompareSpec (p=q) (p<q) (q<p) ((p ?= q) Eq).
 Proof.
   intros. destruct ((p ?= q) Eq) as [ ]_eqn; constructor.
   apply Pcompare_Eq_eq; auto.