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

2 files changed, 3 insertions, 3 deletions

diff --git a/theories/Numbers/NatInt/NZAxioms.v b/theories/Numbers/NatInt/NZAxioms.v
index fcd98787f..ef68c3bca 100644
--- a/theories/Numbers/NatInt/NZAxioms.v
+++ b/theories/Numbers/NatInt/NZAxioms.v
@@ -43,7 +43,7 @@ End IsNZDomain.
 (** Axiomatization of some more constants
 
     Simply denoting "1" for (S 0) and so on works ok when implementing
-    by nat, but leaves some (Nsucc N0) when implementing by N.
+    by nat, but leaves some (N.succ N0) when implementing by N.
 *)
 
 Module Type OneTwo (Import T:Typ).
diff --git a/theories/Numbers/NatInt/NZMulOrder.v b/theories/Numbers/NatInt/NZMulOrder.v
index 97306f934..f6de98560 100644
--- a/theories/Numbers/NatInt/NZMulOrder.v
+++ b/theories/Numbers/NatInt/NZMulOrder.v
@@ -271,9 +271,9 @@ Definition mul_eq_0 := eq_mul_0.
 Definition mul_eq_0_l := eq_mul_0_l.
 Definition mul_eq_0_r := eq_mul_0_r.
 
-Theorem lt_0_mul : forall n m, 0 < n * m <-> (0 < n /\ 0 < m) \/ (m < 0 /\ n < 0).
+Theorem lt_0_mul n m : 0 < n * m <-> (0 < n /\ 0 < m) \/ (m < 0 /\ n < 0).
 Proof.
-intros n m; split; [intro H | intros [[H1 H2] | [H1 H2]]].
+split; [intro H | intros [[H1 H2] | [H1 H2]]].
 destruct (lt_trichotomy n 0) as [H1 | [H1 | H1]];
 [| rewrite H1 in H; rewrite mul_0_l in H; false_hyp H lt_irrefl |];
 (destruct (lt_trichotomy m 0) as [H2 | [H2 | H2]];