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| author |  Stephane Glondu <steph@glondu.net> | 2008-08-08 13:18:42 +0200 |
|---|---|---|
| committer | Stephane Glondu <steph@glondu.net> | 2008-08-08 13:18:42 +0200 |
| commit | 870075f34dd9fa5792bfbf413afd3b96f17e76a0 (patch) | |
| tree | 0c647056de1832cf1dba5ba58758b9121418e4be /theories/Numbers/Natural/BigN/BigN.v | |
| parent | a0cfa4f118023d35b767a999d5a2ac4b082857b4 (diff) | |
Imported Upstream version 8.2~beta4+dfsgupstream/8.2.beta4+dfsg
Diffstat (limited to 'theories/Numbers/Natural/BigN/BigN.v')
| -rw-r--r-- | theories/Numbers/Natural/BigN/BigN.v | 8 |
1 files changed, 6 insertions, 2 deletions
diff --git a/theories/Numbers/Natural/BigN/BigN.v b/theories/Numbers/Natural/BigN/BigN.v index 0574c09f..41c255b1 100644 --- a/theories/Numbers/Natural/BigN/BigN.v +++ b/theories/Numbers/Natural/BigN/BigN.v @@ -6,7 +6,7 @@ (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: BigN.v 11040 2008-06-03 00:04:16Z letouzey $ i*) +(*i $Id: BigN.v 11282 2008-07-28 11:51:53Z msozeau $ i*) (** * Natural numbers in base 2^31 *) @@ -47,6 +47,8 @@ Infix "?=" := BigN.compare : bigN_scope. Infix "==" := BigN.eq (at level 70, no associativity) : bigN_scope. Infix "<" := BigN.lt : bigN_scope. Infix "<=" := BigN.le : bigN_scope. +Notation "x > y" := (BigN.lt y x)(only parsing) : bigN_scope. +Notation "x >= y" := (BigN.le y x)(only parsing) : bigN_scope. Notation "[ i ]" := (BigN.to_Z i) : bigN_scope. Open Scope bigN_scope. @@ -62,7 +64,7 @@ Qed. (** [BigN] is a semi-ring *) -Lemma BigNring : +Lemma BigNring : semi_ring_theory BigN.zero BigN.one BigN.add BigN.mul BigN.eq. Proof. constructor. @@ -76,6 +78,8 @@ exact mul_assoc. exact mul_add_distr_r. Qed. +Typeclasses unfold NZadd NZsub NZmul. + Add Ring BigNr : BigNring. (** Todo: tactic translating from [BigN] to [Z] + omega *) |