ZArith + other : favor the use of modern names instead of compat notations

 - For instance, refl_equal --> eq_refl
 - Npos, Zpos, Zneg now admit more uniform qualified aliases
   N.pos, Z.pos, Z.neg.
 - A new module BinInt.Pos2Z with results about injections from
   positive to Z
 - A result about Z.pow pushed in the generic layer
 - Zmult_le_compat_{r,l} --> Z.mul_le_mono_nonneg_{r,l}
 - Using tactic Z.le_elim instead of Zle_lt_or_eq
 - Some cleanup in ring, field, micromega
   (use of "Equivalence", "Proper" ...)
 - Some adaptions in QArith (for instance changed Qpower.Qpower_decomp)
 - In ZMake and ZMake, functor parameters are now named NN and ZZ
   instead of N and Z for avoiding confusions

git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15515 85f007b7-540e-0410-9357-904b9bb8a0f7

1 files changed, 3 insertions, 2 deletions

diff --git a/theories/ZArith/Zmisc.v b/theories/ZArith/Zmisc.v
index a6da9d7e7..bfd57d758 100644
--- a/theories/ZArith/Zmisc.v
+++ b/theories/ZArith/Zmisc.v
@@ -21,8 +21,9 @@ Open Local Scope Z_scope.
 Notation iter := @Z.iter (compat "8.3").
 
 Lemma iter_nat_of_Z : forall n A f x, 0 <= n ->
-  iter n A f x = iter_nat (Z.abs_nat n) A f x.
+  Z.iter n f x = iter_nat (Z.abs_nat n) A f x.
+Proof.
 intros n A f x; case n; auto.
-intros p _; unfold Z.iter, Z.abs_nat; apply iter_nat_of_P.
+intros p _; unfold Z.iter, Z.abs_nat; apply Pos2Nat.inj_iter.
 intros p abs; case abs; trivial.
 Qed.