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| author |  letouzey <letouzey@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2008-02-08 14:33:00 +0000 |
|---|---|---|
| committer | letouzey <letouzey@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2008-02-08 14:33:00 +0000 |
| commit | d1be0ed0d067dc37afcc5db5e58cee5c2a89d646 (patch) | |
| tree | eb79e99e77c01d820b84fc9d4eef1e090b17cae0 /theories/ZArith/Zdiv.v | |
| parent | fee7eda39631ef33c6c3df31b3361ac53d6e945b (diff) | |
one forgotten compatibility lemma
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10526 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/ZArith/Zdiv.v')
| -rw-r--r-- | theories/ZArith/Zdiv.v | 5 |
1 files changed, 5 insertions, 0 deletions
diff --git a/theories/ZArith/Zdiv.v b/theories/ZArith/Zdiv.v index 85d2b06f6..de3b76e95 100644 --- a/theories/ZArith/Zdiv.v +++ b/theories/ZArith/Zdiv.v @@ -1033,6 +1033,11 @@ Proof. intros; apply Z_div_same_full; auto with zarith. Qed. +Lemma Z_div_plus : forall a b c:Z, c > 0 -> (a + b * c) / c = a / c + b. +Proof. + intros; apply Z_div_plus_full; auto with zarith. +Qed. + Lemma Z_div_mult : forall a b:Z, b > 0 -> (a*b)/b = a. Proof. intros; apply Z_div_mult_full; auto with zarith. |