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| author |  barras <barras@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2003-03-12 17:49:21 +0000 |
|---|---|---|
| committer | barras <barras@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2003-03-12 17:49:21 +0000 |
| commit | cb1ae314411d78952062e5092804b85d981ad6e1 (patch) | |
| tree | 52b9a4058c89b5849d875a4c1129951f35e9c1b1 /theories/Reals/MVT.v | |
| parent | 7cb6a61133b6e3c2cd5601282a1f472ff0104c1f (diff) | |
*** empty log message ***
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@3761 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/Reals/MVT.v')
| -rw-r--r-- | theories/Reals/MVT.v | 1 |
1 files changed, 1 insertions, 0 deletions
diff --git a/theories/Reals/MVT.v b/theories/Reals/MVT.v index b271d408b..520ccc788 100644 --- a/theories/Reals/MVT.v +++ b/theories/Reals/MVT.v @@ -12,6 +12,7 @@ Require Rbase. Require Rfunctions. Require Ranalysis1. Require Rtopology. +Import R_scope. (* The Mean Value Theorem *) Theorem MVT : (f,g:R->R;a,b:R;pr1:(c:R)``a<c<b``->(derivable_pt f c);pr2:(c:R)``a<c<b``->(derivable_pt g c)) ``a<b`` -> ((c:R)``a<=c<=b``->(continuity_pt f c)) -> ((c:R)``a<=c<=b``->(continuity_pt g c)) -> (EXT c : R | (EXT P : ``a<c<b`` | ``((g b)-(g a))*(derive_pt f c (pr1 c P))==((f b)-(f a))*(derive_pt g c (pr2 c P))``)). |