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| author |  herbelin <herbelin@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2008-02-29 18:55:04 +0000 |
|---|---|---|
| committer | herbelin <herbelin@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2008-02-29 18:55:04 +0000 |
| commit | 855cc609d2888ef59d848ed688f02390811b28c7 (patch) | |
| tree | baf4ca25b36b88f2e77a979b6ac61c04b49255e1 /theories/Reals/Rpower.v | |
| parent | d4e5e38cffdd29a9af0e8762fc1f49a817944743 (diff) | |
Argumentation plus poussée de pourquoi on retire la condition x>0 dans
Rpower_O alors qu'on la garde pour les autres propriétés de la puissance.
(résultat d'une discussion avec Assia et Jean-Marc)
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10609 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/Reals/Rpower.v')
| -rw-r--r-- | theories/Reals/Rpower.v | 3 |
1 files changed, 3 insertions, 0 deletions
diff --git a/theories/Reals/Rpower.v b/theories/Reals/Rpower.v index 61cd98e56..701ed449b 100644 --- a/theories/Reals/Rpower.v +++ b/theories/Reals/Rpower.v @@ -403,6 +403,9 @@ Infix Local "^R" := Rpower (at level 30, right associativity) : R_scope. (** * Properties of Rpower *) (******************************************************************) +(** Note: Because [ln] is artificially prolongated to 1 on negative + reals, no side condition is needed to state "x ^R 0 = 1" *) + Theorem Rpower_plus : forall x y z:R, z ^R (x + y) = z ^R x * z ^R y. Proof. intros x y z; unfold Rpower in |- *. |