Fix bug #1899: no more strange notations for Qge and Qgt

In fact, Qge and Ggt disappear, and we only leave notations for > and >=
that map directly to Qlt and Qle. 

We also adopt the same approach for BigN, BigZ, BigQ.

By the way, various clean-up concerning Zeq_bool, Zle_bool and similar
functions for Q. 



git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11205 85f007b7-540e-0410-9357-904b9bb8a0f7

1 files changed, 9 insertions, 0 deletions

diff --git a/theories/ZArith/Zcompare.v b/theories/ZArith/Zcompare.v
index 6c5b07d24..8244d4ceb 100644
--- a/theories/ZArith/Zcompare.v
+++ b/theories/ZArith/Zcompare.v
@@ -40,6 +40,15 @@ Proof.
 	    | destruct ((x' ?= y')%positive Eq); reflexivity || discriminate ] ].
 Qed.
 
+Ltac destr_zcompare := 
+ match goal with |- context [Zcompare ?x ?y] => 
+  let H := fresh "H" in 
+  case_eq (Zcompare x y); intro H;
+   [generalize (Zcompare_Eq_eq _ _ H); clear H; intro H |
+    change (x<y)%Z in H | 
+    change (x>y)%Z in H ]
+ end.
+
 Lemma Zcompare_Eq_iff_eq : forall n m:Z, (n ?= m) = Eq <-> n = m.
 Proof.
   intros x y; split; intro E;