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By the way, adds an Piter_op iterator :
Piter_op op p a is "a op a ... op a" with a occurring p times.
It could be use to define Pmult_nat and hence nat_of_P (not
fully done for maintaining compatibility).
Unlike iter_pos, Piter_op is logarithmic in p, not linear.
Note: We should adapt someday the brain-damaged Zpower to make it
use Piter_op instead of iter_pos.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13543 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13323 85f007b7-540e-0410-9357-904b9bb8a0f7
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- Many of them were broken, some of them after Pierre B's rework
of mli for ocamldoc, but not only (many bad annotation, many files
with no svn property about Id, etc)
- Useless for those of us that work with git-svn (and a fortiori
in a forthcoming git-only setting)
- Even in svn, they seem to be of little interest
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12972 85f007b7-540e-0410-9357-904b9bb8a0f7
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As show by contrib TreeAutomata, the Peqb now placed in BinPos
was using 1st arg as "struct", instead of 2nd arg as earlier.
Fix that, and remove the "Import BinPos BinNat" hack in Ndec
(merci Hugo :-).
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12503 85f007b7-540e-0410-9357-904b9bb8a0f7
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+ adaptation of {Nat,N,P,Z,Q,R}_as_DT for them to provide both eq_dec and eqb
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12488 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12462 85f007b7-540e-0410-9357-904b9bb8a0f7
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- A richer OrderedTypeFull interface : OrderedType + predicate "le"
- Implementations {Nat,N,P,Z,Q}OrderedType.v, also providing "order" tactics
- By the way: as suggested by S. Lescuyer, specification of compare is
now inductive
- GenericMinMax: axiomatisation + properties of min and max out of
OrderedTypeFull structures.
- MinMax.v, {Z,P,N,Q}minmax.v are specialization of GenericMinMax,
with also some domain-specific results, and compatibility layer
with already existing results.
- Some ML code of plugins had to be adapted, otherwise wrong "eq",
"lt" or simimlar constants were found by functions like coq_constant.
- Beware of the aliasing problems: for instance eq:=@eq t instead of
eq:=@eq M.t in Make_UDT made (r)omega stopped working (Z_as_OT.t
instead of Z in statement of Zmax_spec).
- Some Morphism declaration are now ambiguous: switch to new syntax
anyway.
- Misc adaptations of FSets/MSets
- Classes/RelationPairs.v: from two relations over A and B, we
inspect relations over A*B and their properties in terms of classes.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12461 85f007b7-540e-0410-9357-904b9bb8a0f7
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1) compilation of Library.tex was failing on a "Ext_" in Diaconescu.v
In fact coqdoc was trying to recognize the end of a _emphasis_ and
hence inserted a bogus }. For the moment I've enclosed the phrase
with [ ], but this emphasis "feature" of coqdoc seems _really_
easy to broke. Matthieu ?
2) By the way, this Library document was made from latin1 and utf8
source file, hence bogus characters. All .v containing special
characters are converted to utf8, and their first line is now
mentionning this. (+ killed some old french comments and some
other avoidable special characters).
PLEASE: let's stick to this convention and avoid latin1, at least
in .v files.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12363 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12337 85f007b7-540e-0410-9357-904b9bb8a0f7
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- "*" implements Arthur Charguéraud's "introv"
- "**" works as "; intros" (see also "*" in ssreflect).
- Simplifying the proof of Z_eq_dec, as suggested by Frédéric Blanqui.
- Shy attempt to seize the opportunity to clean Zarith_dec but Coq's
library is really going anarchically (see a summary of the various
formulations of total order, dichotomy of order and decidability of
equality and in stdlib-project.tex in branch V8revised-theories).
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12171 85f007b7-540e-0410-9357-904b9bb8a0f7
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Idea: make coqtop more independant of the standard library.
In the future, we can imagine loading the syntax for numerals right
after their definition. For the moment, it is easier to stay lazy
and load the syntax plugins slightly before the definitions.
After this commit, the main (sole ?) references to theories/
from the core ml files are in Coqlib (but many parts of coqlib
are only used by plugins), and it mainly concerns Init
(+ Logic/JMeq and maybe a few others).
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12024 85f007b7-540e-0410-9357-904b9bb8a0f7
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a Coq meeting some time ago. NB: this syntax is an alias for (x,(y,(z,t)))
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11033 85f007b7-540e-0410-9357-904b9bb8a0f7
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As suggested by Hugo, Notation "p ~ 1" instead of Notation "p ~1" avoids potential
conflict with stuff like ~1=1.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10793 85f007b7-540e-0410-9357-904b9bb8a0f7
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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
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More details in the header of BinPos.v
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10547 85f007b7-540e-0410-9357-904b9bb8a0f7
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present in Ints. For the moment, mainly:
- Q parts go in QArith
- Some of the Zdivide & Zgcd stuff go in Znumtheory
More to come ...
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10281 85f007b7-540e-0410-9357-904b9bb8a0f7
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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
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10130 85f007b7-540e-0410-9357-904b9bb8a0f7
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------------------------------------------------
See file PreOmega for more details and/or test-suite/succes/*Omega*.v
The zify tactic performs a Z-ification of your current goal,
transforming parts of type nat, N, positive, taking advantage of many
equivalences of operations, and of the positivity implied by these
types.
Integration with omega and romega:
(r)omega : the earlier tactics, 100% compatible
(r)omega with * : full zify applied before the (r)omega run
(r)omega with <types>, where <types> is a sub-list of {nat,N,positive,Z},
applies only specific parts of zify (btw "with Z" means take advantage
of Zmax, Zmin, Zabs and Zsgn).
As a particular consequence, "romega with nat" should now be a
close-to-perfect replacement for omega. Slightly more powerful, since
(forall x:nat, x*x>=0) is provable and also slightly less powerful: if
False is somewhere in the hypothesis, it doesn't use it.
For the moment zify is done in a direct way in Ltac, using rewrite
when necessary, but crucial chains of rewrite may be made reflexive
some day.
Even though zify is designed to help (r)omega, I think it might be
of interest for other tactics (micromega ?). Feel free to complete
zify if your favorite operation / type isn't handled yet.
Side-effects:
- additional results for ZArith, NArith, etc...
- definition of Ple, Plt, Pgt, Pge and notations for them in positive_scope
- romega now start by doing "intros". Since the conclusion will be negated,
and this operation will be justified by means of decidability, it helps
to have as little as possible in the conclusion.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10028 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9883 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9740 85f007b7-540e-0410-9357-904b9bb8a0f7
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Pplus_xO
Pmult_Sn_m
Pcompare_eq_Lt (a generalization of Pcompare_Gt_Lt)
Pcompare_eq_Gt (a generalization of Pcompare_Lt_Gt)
Pcompare_refl_id (a generalization of Pcompare_refl)
Pcompare_Lt_eq_Lt (a generalization of Pcompare_Lt_Lt)
Pcompare_Gt_eq_Gt (a generalization of Pcompare_Gt_Gt)
Pcompare_p_Sp
Pcompare_p_Sq (one of the defining axioms of < )
Pcompare_1 (1 is the least positive number)
Added the following theorems to BinNat:
Nrect (defined in terms of new Prect)
Nrect_base
Nrect_step (the analogout statement in BinPos is called Prect_succ)
Nrec_base
Nrec_step
Nmult_Sn_m
Nsucc_0
Ncompare_0 (0 is the least natural number)
Ncompare_n_Sm (one of the defining axioms of < )
Also, defined Nind and Nrec in terms of Nrect.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9738 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9701 85f007b7-540e-0410-9357-904b9bb8a0f7
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égalité décidable + maj dépendances
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9467 85f007b7-540e-0410-9357-904b9bb8a0f7
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suggérée par Conor McBride qui ne fait pas intervenir eq_rect et
qui permet de montrer "facilement" (mais avec l'axiome K) les équations
de réduction de Prec.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9465 85f007b7-540e-0410-9357-904b9bb8a0f7
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jours de calcul (chapitre 16, thm prime_2333); peut-être à cause de Z_of_nat??) [HH]
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@6699 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@6676 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@6295 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@5920 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@5099 85f007b7-540e-0410-9357-904b9bb8a0f7
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par les fichiers nouvelle syntaxe
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@5027 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@5018 85f007b7-540e-0410-9357-904b9bb8a0f7
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et Pcompare_antisym
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@4962 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@4911 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@4874 85f007b7-540e-0410-9357-904b9bb8a0f7
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positifs et naturels
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@4809 85f007b7-540e-0410-9357-904b9bb8a0f7
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letouzey
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emakarov
notin
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