diff options
Diffstat (limited to 'theories/Reals/Rcomplete.v')
| -rw-r--r-- | theories/Reals/Rcomplete.v | 6 |
1 files changed, 3 insertions, 3 deletions
diff --git a/theories/Reals/Rcomplete.v b/theories/Reals/Rcomplete.v index 16e12d7f..d7fee9c5 100644 --- a/theories/Reals/Rcomplete.v +++ b/theories/Reals/Rcomplete.v @@ -6,7 +6,7 @@ (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: Rcomplete.v 9245 2006-10-17 12:53:34Z notin $ i*) +(*i $Id: Rcomplete.v 10710 2008-03-23 09:24:09Z herbelin $ i*) Require Import Rbase. Require Import Rfunctions. @@ -24,7 +24,7 @@ Open Local Scope R_scope. (****************************************************) Theorem R_complete : - forall Un:nat -> R, Cauchy_crit Un -> sigT (fun l:R => Un_cv Un l). + forall Un:nat -> R, Cauchy_crit Un -> { l:R | Un_cv Un l } . Proof. intros. set (Vn := sequence_minorant Un (cauchy_min Un H)). @@ -37,7 +37,7 @@ Proof. elim H1; intros. cut (x = x0). intros. - apply existT with x. + exists x. rewrite <- H2 in p0. unfold Un_cv in |- *. intros. |