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authorGravatar Samuel Mimram <smimram@debian.org>2008-07-25 15:12:53 +0200
committerGravatar Samuel Mimram <smimram@debian.org>2008-07-25 15:12:53 +0200
commita0cfa4f118023d35b767a999d5a2ac4b082857b4 (patch)
treedabcac548e299fee1da464c93b3dba98484f45b1 /theories/Reals/Sqrt_reg.v
parent2281410e38ef99d025ea77194585a9bc019fdaa9 (diff)
Imported Upstream version 8.2~beta3+dfsgupstream/8.2.beta3+dfsg
Diffstat (limited to 'theories/Reals/Sqrt_reg.v')
-rw-r--r--theories/Reals/Sqrt_reg.v7
1 files changed, 4 insertions, 3 deletions
diff --git a/theories/Reals/Sqrt_reg.v b/theories/Reals/Sqrt_reg.v
index ff0a72e8..13be46da 100644
--- a/theories/Reals/Sqrt_reg.v
+++ b/theories/Reals/Sqrt_reg.v
@@ -6,12 +6,13 @@
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
-(*i $Id: Sqrt_reg.v 9245 2006-10-17 12:53:34Z notin $ i*)
+(*i $Id: Sqrt_reg.v 10710 2008-03-23 09:24:09Z herbelin $ i*)
Require Import Rbase.
Require Import Rfunctions.
Require Import Ranalysis1.
-Require Import R_sqrt. Open Local Scope R_scope.
+Require Import R_sqrt.
+Open Local Scope R_scope.
(**********)
Lemma sqrt_var_maj :
@@ -309,7 +310,7 @@ Qed.
Lemma derivable_pt_sqrt : forall x:R, 0 < x -> derivable_pt sqrt x.
Proof.
unfold derivable_pt in |- *; intros.
- apply existT with (/ (2 * sqrt x)).
+ exists (/ (2 * sqrt x)).
apply derivable_pt_lim_sqrt; assumption.
Qed.