Deletion of useless Zsqrt_def

git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14245 85f007b7-540e-0410-9357-904b9bb8a0f7

2 files changed, 4 insertions, 4 deletions

diff --git a/theories/Numbers/Integer/BigZ/ZMake.v b/theories/Numbers/Integer/BigZ/ZMake.v
index 173a8f177..0bcf22e32 100644
--- a/theories/Numbers/Integer/BigZ/ZMake.v
+++ b/theories/Numbers/Integer/BigZ/ZMake.v
@@ -383,13 +383,13 @@ Module Make (N:NType) <: ZType.
   | Neg nx => Neg N.zero
   end.
 
- Theorem spec_sqrt: forall x, to_Z (sqrt x) = Zsqrt (to_Z x).
+ Theorem spec_sqrt: forall x, to_Z (sqrt x) = Z.sqrt (to_Z x).
  Proof.
   destruct x as [p|p]; simpl.
   apply N.spec_sqrt.
   rewrite N.spec_0.
   destruct (Z_le_lt_eq_dec _ _ (N.spec_pos p)) as [LT|EQ].
-  rewrite Zsqrt_neg; auto with zarith.
+  rewrite Z.sqrt_neg; auto with zarith.
   now rewrite <- EQ.
  Qed.
 
diff --git a/theories/Numbers/Integer/SpecViaZ/ZSigZAxioms.v b/theories/Numbers/Integer/SpecViaZ/ZSigZAxioms.v
index 390b52ebe..dd83b65da 100644
--- a/theories/Numbers/Integer/SpecViaZ/ZSigZAxioms.v
+++ b/theories/Numbers/Integer/SpecViaZ/ZSigZAxioms.v
@@ -311,12 +311,12 @@ Qed.
 Lemma sqrt_spec : forall n, 0<=n ->
  (sqrt n)*(sqrt n) <= n /\ n < (succ (sqrt n))*(succ (sqrt n)).
 Proof.
- intros n. zify. apply Zsqrt_spec.
+ intros n. zify. apply Z.sqrt_spec.
 Qed.
 
 Lemma sqrt_neg : forall n, n<0 -> sqrt n == 0.
 Proof.
- intros n. zify. apply Zsqrt_neg.
+ intros n. zify. apply Z.sqrt_neg.
 Qed.
 
 (** Log2 *)