diff options
| author |  herbelin <herbelin@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2006-05-22 09:26:36 +0000 |
|---|---|---|
| committer | herbelin <herbelin@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2006-05-22 09:26:36 +0000 |
| commit | 3fe1b36a59fe6b20f94c188eb01c9b07368da3af (patch) | |
| tree | 25b922e4c5e41173ae2e004a5f4a69e6486fb1a3 /theories/Reals/Rbasic_fun.v | |
| parent | 9dbed9dbec25478f8673ca15bb96007596b76bf3 (diff) | |
MAJ suite placement automatiquement de Rlist au niveau prédicatif le plus bas, i.e. Set; renommage canonique Rmax_comm
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@8838 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/Reals/Rbasic_fun.v')
| -rw-r--r-- | theories/Reals/Rbasic_fun.v | 6 |
1 files changed, 4 insertions, 2 deletions
diff --git a/theories/Reals/Rbasic_fun.v b/theories/Reals/Rbasic_fun.v index 2785b2112..723de4d40 100644 --- a/theories/Reals/Rbasic_fun.v +++ b/theories/Reals/Rbasic_fun.v @@ -107,11 +107,13 @@ Lemma RmaxLess2 : forall r1 r2, r2 <= Rmax r1 r2. intros r1 r2; unfold Rmax in |- *; case (Rle_dec r1 r2); auto with real. Qed. -Lemma RmaxSym : forall p q:R, Rmax p q = Rmax q p. +Lemma Rmax_comm : forall p q:R, Rmax p q = Rmax q p. intros p q; unfold Rmax in |- *; case (Rle_dec p q); case (Rle_dec q p); auto; intros H1 H2; apply Rle_antisym; auto with real. Qed. +Notation RmaxSym := Rmax_comm (only parsing). + Lemma RmaxRmult : forall (p q:R) r, 0 <= r -> Rmax (r * p) (r * q) = r * Rmax p q. intros p q r H; unfold Rmax in |- *. @@ -467,4 +469,4 @@ intros p0; apply Rabs_right; auto with real zarith. intros p0; rewrite Rabs_Ropp. apply Rabs_right; auto with real zarith. Qed. -
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