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authorGravatar desmettr <desmettr@85f007b7-540e-0410-9357-904b9bb8a0f7>2003-01-22 13:39:23 +0000
committerGravatar desmettr <desmettr@85f007b7-540e-0410-9357-904b9bb8a0f7>2003-01-22 13:39:23 +0000
commitb5e03cd4521fa470e04ad552b401f250a99ae09c (patch)
tree51a9132728854a1271d34dbfe4cc221a7d3fbdba /theories/Reals/Rcomplete.v
parent126143a69589f397b7485f111a0edcb51f03589c (diff)
Renommages dans Rcomplete
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@3578 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/Reals/Rcomplete.v')
-rw-r--r--theories/Reals/Rcomplete.v9
1 files changed, 5 insertions, 4 deletions
diff --git a/theories/Reals/Rcomplete.v b/theories/Reals/Rcomplete.v
index 80516e307..8a653d1aa 100644
--- a/theories/Reals/Rcomplete.v
+++ b/theories/Reals/Rcomplete.v
@@ -15,13 +15,14 @@ Require SeqProp.
Require Max.
(****************************************************)
-(* R est complet : *)
-(* Toute suite de Cauchy de (R,| |) converge *)
+(* R is complete : *)
+(* Each sequence which satisfies *)
+(* the Cauchy's criterion converges *)
(* *)
-(* Preuve a l'aide des suites adjacentes Vn et Wn *)
+(* Proof with adjacent sequences (Vn and Wn) *)
(****************************************************)
-Theorem R_complet : (Un:nat->R) (Cauchy_crit Un) -> (sigTT R [l:R](Un_cv Un l)).
+Theorem R_complete : (Un:nat->R) (Cauchy_crit Un) -> (sigTT R [l:R](Un_cv Un l)).
Intros.
Pose Vn := (suite_minorant Un (cauchy_min Un H)).
Pose Wn := (suite_majorant Un (cauchy_maj Un H)).