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path: root/theories/Numbers/NatInt/NZOrder.v
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* Init/Tactics.v: tactic with nicer name 'exfalso' for 'elimtype False'Gravatar letouzey2009-10-08
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12380 85f007b7-540e-0410-9357-904b9bb8a0f7
* Uniformity with the rest of the StdLib : _symm --> _symGravatar letouzey2008-12-12
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11675 85f007b7-540e-0410-9357-904b9bb8a0f7
* In abstract parts of theories/Numbers, plus/times becomes add/mul, Gravatar letouzey2008-06-03
| | | | | | | | | | for increased consistency with bignums parts (commit part II: names of files + additional translation minus --> sub) git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11040 85f007b7-540e-0410-9357-904b9bb8a0f7
* switch theories/Numbers from Set to Type (both the abstract and the bignum ↵Gravatar letouzey2008-05-22
| | | | | | part). git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10964 85f007b7-540e-0410-9357-904b9bb8a0f7
* Coq headers + $ in theories/Numbers filesGravatar letouzey2008-05-15
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10934 85f007b7-540e-0410-9357-904b9bb8a0f7
* Fix bug #1704 (ordering of condition goals for (setoid)rewrite). As partGravatar msozeau2008-03-07
| | | | | | | | | of the fix I added an optional "by" annotation for rewrite to solve said conditions in the same tactic call. Most of the theories have been updated, only FSets is missing, Pierre will take care of it. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10634 85f007b7-540e-0410-9357-904b9bb8a0f7
* Plug the new setoid implemtation in, leaving the original one commentedGravatar msozeau2008-03-06
| | | | | | | | | | | | | | | | | | | | out. The semantics of the old setoid are faithfully simulated by the new tactic, hence no scripts involving rewrite are modified. However, parametric morphism declarations need to be changed, but there are only a few in the standard library, notably in FSets. The declaration and the introduction of variables in the script need to be tweaked a bit, otherwise the proofs remain unchanged. Some fragile scripts not introducting their variable names explicitely were broken. Requiring Setoid requires Program.Basics which sets stronger implicit arguments on some constants, a few scripts benefit from that. Ring/field have been ported but do not really use the new typeclass architecture as well as they could. Performance should be mostly unchanged, but will certainly improve in the near future. Size of the vo's seems not to have changed at all. It will certainly break some contribs using Setoid. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10631 85f007b7-540e-0410-9357-904b9bb8a0f7
* An update on Numbers. Added two files dealing with recursion, for ↵Gravatar emakarov2007-11-22
| | | | | | information only. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10330 85f007b7-540e-0410-9357-904b9bb8a0f7
* Added theorems; created NZPlusOrder from NTimesOrder.Gravatar emakarov2007-11-16
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10325 85f007b7-540e-0410-9357-904b9bb8a0f7
* Update on Numbers; renamed ZOrder.v to ZLt to remove clash with ↵Gravatar emakarov2007-11-14
| | | | | | ZArith/Zorder on MacOS. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10323 85f007b7-540e-0410-9357-904b9bb8a0f7
* Moved several lemmas from theories/Numbers/NumPrelude to theories/Init/Logic.Gravatar emakarov2007-11-08
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10304 85f007b7-540e-0410-9357-904b9bb8a0f7
* Replaced BinNat with a new version that is based on ↵Gravatar emakarov2007-11-07
| | | | | | theories/Numbers/Natural/Binary/NBinDefs. Most of the entities in the new BinNat are notations for the development in Numbers. Also added min and max to the new natural numbers and integers. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10298 85f007b7-540e-0410-9357-904b9bb8a0f7
* An update of theories/NumbersGravatar emakarov2007-11-03
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10285 85f007b7-540e-0410-9357-904b9bb8a0f7
* Added Numbers/Natural/Abstract/NIso.v that proves that any two models of ↵Gravatar emakarov2007-10-23
| | | | | | 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
* Added transitivity and irreflexivity of <, as well as < -elimination for ↵Gravatar emakarov2007-10-16
| | | | | | | | | binary positive numbers. Added directory contribs/micromega with the generalization of Frédéric Besson's micromega tactic for an arbitrary ordered ring. So far no tactic has been defined. One has to apply the theorems and find the certificate, which is necessary to solve inequations, manually. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10226 85f007b7-540e-0410-9357-904b9bb8a0f7
* Added the compilation of theories/Numbers to Makefile.common. The following ↵Gravatar emakarov2007-10-01
| | | | | | things compile: abstract natural numbers and integers with plus, times, minus, and order; Peano and binary implementations for natural numbers. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10161 85f007b7-540e-0410-9357-904b9bb8a0f7
* Update on theories/Numbers. Natural numbers are mostly complete,Gravatar emakarov2007-09-21
need to make NZOrdAxiomsSig a subtype of NAxiomsSig. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10132 85f007b7-540e-0410-9357-904b9bb8a0f7