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authoremakarov2007-10-23 11:09:40 +0000
committeremakarov2007-10-23 11:09:40 +0000
commit699c507995fb9ede2eb752a01f90cf6d8caad4de (patch)
tree69c9239bb8b5e8e2ecc7b10ba921d51f729dabb8 /theories/Numbers/Integer/Abstract/ZBase.v
parentd672ce42ecd1fd6845f1c9ea178f5d9fd05afb2c (diff)
Added Numbers/Natural/Abstract/NIso.v that proves that any two models of natural numbers are isomorphic. Added NatScope and IntScope for abstract developments.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10247 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/Numbers/Integer/Abstract/ZBase.v')
-rw-r--r--theories/Numbers/Integer/Abstract/ZBase.v7
1 files changed, 4 insertions, 3 deletions
diff --git a/theories/Numbers/Integer/Abstract/ZBase.v b/theories/Numbers/Integer/Abstract/ZBase.v
index 9f5ff8bd37..dbe2aa4396 100644
--- a/theories/Numbers/Integer/Abstract/ZBase.v
+++ b/theories/Numbers/Integer/Abstract/ZBase.v
@@ -1,8 +1,9 @@
Require Export ZAxioms.
Require Import NZTimesOrder.
-Module ZBasePropFunct (Import ZAxiomsMod : ZAxiomsSig).
-Open Local Scope NatIntScope.
+Module ZBasePropFunct (Export ZAxiomsMod : ZAxiomsSig).
+
+Open Local Scope IntScope.
Module Export NZTimesOrderMod := NZTimesOrderPropFunct NZOrdAxiomsMod.
@@ -22,7 +23,7 @@ Theorem Zsucc_inj_wd_neg : forall n m : Z, S n ~= S m <-> n ~= m.
Proof NZsucc_inj_wd_neg.
Theorem Zcentral_induction :
-forall A : Z -> Prop, predicate_wd E A ->
+forall A : Z -> Prop, predicate_wd Zeq A ->
forall z : Z, A z ->
(forall n : Z, A n <-> A (S n)) ->
forall n : Z, A n.