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| author |  emakarov <emakarov@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2007-11-16 20:37:52 +0000 |
|---|---|---|
| committer | emakarov <emakarov@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2007-11-16 20:37:52 +0000 |
| commit | cb24ec6fd2c79a317f98b7dad426ac3e9bbad56a (patch) | |
| tree | ee7e4b0f0928e3588adcc4d21e0ca8547f7bd379 /theories/Numbers/Natural/Abstract/NOrder.v | |
| parent | d3cf0e074d4b4a3ddc1de4c91a235474eead80aa (diff) | |
Added theorems; created NZPlusOrder from NTimesOrder.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10325 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/Numbers/Natural/Abstract/NOrder.v')
| -rw-r--r-- | theories/Numbers/Natural/Abstract/NOrder.v | 6 |
1 files changed, 6 insertions, 0 deletions
diff --git a/theories/Numbers/Natural/Abstract/NOrder.v b/theories/Numbers/Natural/Abstract/NOrder.v index 33214cd1b..c7b7d495f 100644 --- a/theories/Numbers/Natural/Abstract/NOrder.v +++ b/theories/Numbers/Natural/Abstract/NOrder.v @@ -80,6 +80,12 @@ Proof NZlt_succ_diag_r. Theorem le_succ_diag_r : forall n : N, n <= S n. Proof NZle_succ_diag_r. +Theorem lt_0_1 : 0 < 1. +Proof NZlt_0_1. + +Theorem le_0_1 : 0 <= 1. +Proof NZle_0_1. + Theorem lt_lt_succ_r : forall n m : N, n < m -> n < S m. Proof NZlt_lt_succ_r. |