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, 3 deletions

diff --git a/theories/Reals/Rpower.v b/theories/Reals/Rpower.v
index 146e97361..b5bd2b734 100644
--- a/theories/Reals/Rpower.v
+++ b/theories/Reals/Rpower.v
@@ -561,7 +561,7 @@ Proof.
   apply Rminus_eq_contra.
   red in |- *; intros H2; case HD2.
   symmetry  in |- *; apply (ln_inv _ _ HD1 Hy H2).
-  apply Rminus_eq_contra; apply (sym_not_eq HD2).
+  apply Rminus_eq_contra; apply (not_eq_sym HD2).
   apply Rinv_neq_0_compat; apply Rminus_eq_contra; red in |- *; intros H2;
     case HD2; apply ln_inv; auto.
   assumption.
@@ -588,7 +588,7 @@ Proof.
     [ idtac | ring ].
   apply H1.
   elim H2; intros H3 _; unfold D_x in H3; elim H3; clear H3; intros _ H3;
-    apply Rminus_eq_contra; apply (sym_not_eq (A:=R));
+    apply Rminus_eq_contra; apply (not_eq_sym (A:=R));
       apply H3.
   elim H2; clear H2; intros _ H2; apply H2.
   assumption.
@@ -625,7 +625,7 @@ Proof.
   replace (- h - x / 2 + (x / 2 + x / 2 + h)) with (x / 2); [ apply H7 | ring ].
   apply r.
   apply Rplus_lt_le_0_compat; [ assumption | apply Rge_le; apply r ].
-  apply (sym_not_eq (A:=R)); apply Rminus_not_eq; replace (x + h - x) with h;
+  apply (not_eq_sym (A:=R)); apply Rminus_not_eq; replace (x + h - x) with h;
     [ apply H5 | ring ].
   replace (x + h - x) with h;
   [ apply Rlt_le_trans with alp;