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| author |  letouzey <letouzey@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2009-11-03 08:24:09 +0000 |
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| committer | letouzey <letouzey@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2009-11-03 08:24:09 +0000 |
| commit | 6b024fd58e28bba3f77b2ccd5dff1ece162067ef (patch) | |
| tree | 7db797f09b1b19b6a840c984e8db304e9483ef1c /theories/Arith/Lt.v | |
| parent | 4f0ad99adb04e7f2888e75f2a10e8c916dde179b (diff) | |
Better visibility of the inductive CompSpec used to specify comparison functions
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12462 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/Arith/Lt.v')
| -rw-r--r-- | theories/Arith/Lt.v | 7 |
1 files changed, 7 insertions, 0 deletions
diff --git a/theories/Arith/Lt.v b/theories/Arith/Lt.v index 1fb5b3e55..bdd7ce092 100644 --- a/theories/Arith/Lt.v +++ b/theories/Arith/Lt.v @@ -144,6 +144,13 @@ Proof. induction 1; auto with arith. Qed. +Theorem le_lt_or_eq_iff : forall n m, n <= m <-> n < m \/ n = m. +Proof. + split. + intros; apply le_lt_or_eq; auto. + destruct 1; subst; auto with arith. +Qed. + Theorem lt_le_weak : forall n m, n < m -> n <= m. Proof. auto with arith. |