From 855cc609d2888ef59d848ed688f02390811b28c7 Mon Sep 17 00:00:00 2001 From: herbelin Date: Fri, 29 Feb 2008 18:55:04 +0000 Subject: 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 --- theories/Reals/Rpower.v | 3 +++ 1 file changed, 3 insertions(+) diff --git a/theories/Reals/Rpower.v b/theories/Reals/Rpower.v index 61cd98e56b..701ed449b0 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 |- *. -- cgit v1.2.3