diff options
| author |  letouzey <letouzey@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2010-01-29 14:18:31 +0000 |
|---|---|---|
| committer | letouzey <letouzey@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2010-01-29 14:18:31 +0000 |
| commit | 5c97a67f3227f718a2247c9476029548c4ee8e28 (patch) | |
| tree | 9fcf5ad61373e9d5bdd5e92e7c65bdd491803acb /theories/Numbers/Natural/Abstract/NDiv.v | |
| parent | ff40b0b911ec83b473d1014eeb693e96be1c679e (diff) | |
Division in numbers: kills some Include to avoid bad alias Zsucc = ZDiv.Z.Z'.S
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12704 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/Numbers/Natural/Abstract/NDiv.v')
| -rw-r--r-- | theories/Numbers/Natural/Abstract/NDiv.v | 12 |
1 files changed, 8 insertions, 4 deletions
diff --git a/theories/Numbers/Natural/Abstract/NDiv.v b/theories/Numbers/Natural/Abstract/NDiv.v index dd033fb76..0cb5665ac 100644 --- a/theories/Numbers/Natural/Abstract/NDiv.v +++ b/theories/Numbers/Natural/Abstract/NDiv.v @@ -21,12 +21,16 @@ Module NDivPropFunct (Import N : NDivSig')(Import NP : NPropSig N). (** We benefit from what already exists for NZ *) - Module N' <: NZDivSig. - Include N. + Module ND <: NZDiv N. + Definition div := div. + Definition modulo := modulo. + Definition div_wd := div_wd. + Definition mod_wd := mod_wd. + Definition div_mod := div_mod. Lemma mod_bound : forall a b, 0<=a -> 0<b -> 0 <= a mod b < b. Proof. split. apply le_0_l. apply mod_upper_bound. order. Qed. - End N'. - Module Import NZDivP := NZDivPropFunct N' NP. + End ND. + Module Import NZDivP := NZDivPropFunct N NP ND. Ltac auto' := try rewrite <- neq_0_lt_0; auto using le_0_l. |