diff options
author | desmettr <desmettr@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2003-01-22 13:39:23 +0000 |
---|---|---|
committer | desmettr <desmettr@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2003-01-22 13:39:23 +0000 |
commit | b5e03cd4521fa470e04ad552b401f250a99ae09c (patch) | |
tree | 51a9132728854a1271d34dbfe4cc221a7d3fbdba /theories/Reals/Rcomplete.v | |
parent | 126143a69589f397b7485f111a0edcb51f03589c (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.v | 9 |
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)). |