diff options
| author | emakarov | 2007-11-22 14:34:44 +0000 |
|---|---|---|
| committer | emakarov | 2007-11-22 14:34:44 +0000 |
| commit | 63e792e2cf320544bcd8b28b2e932b18d5f4af1f (patch) | |
| tree | c49f6ca226880dfa42d0f8160619219ebdb164a9 /theories/Numbers/Integer/Abstract/ZTimes.v | |
| parent | 20c0fdbc7f63b8c8ccaa0dd34e7d8105b94e804c (diff) | |
An update on Numbers. Added two files dealing with recursion, for information only.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10330 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/Numbers/Integer/Abstract/ZTimes.v')
| -rw-r--r-- | theories/Numbers/Integer/Abstract/ZTimes.v | 4 |
1 files changed, 2 insertions, 2 deletions
diff --git a/theories/Numbers/Integer/Abstract/ZTimes.v b/theories/Numbers/Integer/Abstract/ZTimes.v index 89249d1ed9..2ff8fd8dae 100644 --- a/theories/Numbers/Integer/Abstract/ZTimes.v +++ b/theories/Numbers/Integer/Abstract/ZTimes.v @@ -26,7 +26,7 @@ Proof NZtimes_0_l. Theorem Ztimes_succ_l : forall n m : Z, (S n) * m == n * m + m. Proof NZtimes_succ_l. -(** Theorems that are valid for both natural numbers and integers *) +(* Theorems that are valid for both natural numbers and integers *) Theorem Ztimes_0_r : forall n : Z, n * 0 == 0. Proof NZtimes_0_r. @@ -68,7 +68,7 @@ Proof NZeq_times_0. Theorem Zneq_times_0 : forall n m : Z, n ~= 0 /\ m ~= 0 <-> n * m ~= 0. Proof NZneq_times_0. -(** Theorems that are either not valid on N or have different proofs on N and Z *) +(* Theorems that are either not valid on N or have different proofs on N and Z *) Theorem Ztimes_pred_r : forall n m : Z, n * (P m) == n * m - n. Proof. |