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2007-10-16Added transitivity and irreflexivity of <, as well as < -elimination for ↵emakarov
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
2007-10-04Added the proof (in Numbers/Integers/TreeMod) that tree-like representation ↵emakarov
of integers due to Gregoire and Théry satisfies the axioms of integers without order. This refers to integers modulo n, i.e., those that fit trees of certain size, not to BigZ. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10178 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-10-02The following now compiles: abstract integers with plus, minus and times, ↵emakarov
binary implementation and integers as pairs of natural numbers git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10167 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-10-01Added the compilation of theories/Numbers to Makefile.common. The following ↵emakarov
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
2007-09-25An update on theories/Numbers.emakarov
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10142 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-09-21Update on theories/Numbersemakarov
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10133 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-09-21Update on theories/Numbers. Natural numbers are mostly complete,emakarov
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
2007-09-13Update before joining all signatures into one.emakarov
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10119 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-08-13An update on axiomatic number classes.emakarov
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10075 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-07-24An update on axiomatization of numbers.emakarov
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10041 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-07-13An update on axiomatization of number classes.emakarov
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10002 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-07-06Update of theories/Numbers directory.emakarov
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9955 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-07-05Update on numbers.emakarov
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9947 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-06-29Added the directory theories/Numbers where axiomatizations and ↵emakarov
implementations (unary, binary, etc.) of different number classes (natural, integer, rational, real, complex, etc.) will be stored.Currently there are axiomatized natural numbers with two implementations and axiomatized integers. Modified Makefile accordingly but dod not include the new files in THEORIESVO yet. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9916 85f007b7-540e-0410-9357-904b9bb8a0f7
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