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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15715 85f007b7-540e-0410-9357-904b9bb8a0f7
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Most of these heavyweight annotations were introduced a long time ago
by the automatic 7.x -> 8.0 translator
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15518 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15517 85f007b7-540e-0410-9357-904b9bb8a0f7
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- For instance, refl_equal --> eq_refl
- Npos, Zpos, Zneg now admit more uniform qualified aliases
N.pos, Z.pos, Z.neg.
- A new module BinInt.Pos2Z with results about injections from
positive to Z
- A result about Z.pow pushed in the generic layer
- Zmult_le_compat_{r,l} --> Z.mul_le_mono_nonneg_{r,l}
- Using tactic Z.le_elim instead of Zle_lt_or_eq
- Some cleanup in ring, field, micromega
(use of "Equivalence", "Proper" ...)
- Some adaptions in QArith (for instance changed Qpower.Qpower_decomp)
- In ZMake and ZMake, functor parameters are now named NN and ZZ
instead of N and Z for avoiding confusions
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15515 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14718 85f007b7-540e-0410-9357-904b9bb8a0f7
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- All statement using reflect are made transparent.
(Otherwise, since reflect isn't in Prop, extraction
complains now about opaque Type definition).
- remove two local Peqb_spec and Neqb_spec, now provided
globally as Pos.eqb_spec and N.eqb_spec.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14232 85f007b7-540e-0410-9357-904b9bb8a0f7
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To avoid names¬ations clashs with list, Vector shouldn't be
"Import"ed but one can "Import Vector.VectorNotations." to have
notations.
SetoidVector at least remains to do.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13702 85f007b7-540e-0410-9357-904b9bb8a0f7
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See NatInt/NZBits.v for the common axiomatization of bitwise functions
over naturals / integers. Some specs aren't pretty, but easier to
prove, see alternate statements in property functors {N,Z}Bits.
Negative numbers are considered via the two's complement convention.
We provide implementations for N (in Ndigits.v), for nat (quite dummy,
just for completeness), for Z (new file Zdigits_def), for BigN
(for the moment partly by converting to N, to be improved soon)
and for BigZ.
NOTA: For BigN.shiftl and BigN.shiftr, the two arguments are now in
the reversed order (for consistency with the rest of the world):
for instance BigN.shiftl 1 10 is 2^10.
NOTA2: Zeven.Zdiv2 is _not_ doing (Zdiv _ 2), but rather (Zquot _ 2)
on negative numbers. For the moment I've kept it intact, and have
just added a Zdiv2' which is truly equivalent to (Zdiv _ 2).
To reorganize someday ?
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13689 85f007b7-540e-0410-9357-904b9bb8a0f7
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Initial plan was only to add shiftl/shiftr/land/... to N and
other number type, this is only partly done, but this work has
diverged into a big reorganisation and improvement session
of PArith,NArith,ZArith.
Bool/Bool: add lemmas orb_diag (a||a = a) and andb_diag (a&&a = a)
PArith/BinPos:
- added a power function Ppow
- iterator iter_pos moved from Zmisc to here + some lemmas
- added Psize_pos, which is 1+log2, used to define Nlog2/Zlog2
- more lemmas on Pcompare and succ/+/* and order, allow
to simplify a lot some old proofs elsewhere.
- new/revised results on Pminus (including some direct proof of
stuff from Pnat)
PArith/Pnat:
- more direct proofs (limit the need of stuff about Pmult_nat).
- provide nicer names for some lemmas (eg. Pplus_plus instead of
nat_of_P_plus_morphism), compatibility notations provided.
- kill some too-specific lemmas unused in stdlib + contribs
NArith/BinNat:
- N_of_nat, nat_of_N moved from Nnat to here.
- a lemma relating Npred and Nminus
- revised definitions and specification proofs of Npow and Nlog2
NArith/Nnat:
- shorter proofs.
- stuff about Z_of_N is moved to Znat. This way, NArith is
entirely independent from ZArith.
NArith/Ndigits:
- added bitwise operations Nand Nor Ndiff Nshiftl Nshiftr
- revised proofs about Nxor, still using functional bit stream
- use the same approach to prove properties of Nand Nor Ndiff
ZArith/BinInt: huge simplification of Zplus_assoc + cosmetic stuff
ZArith/Zcompare: nicer proofs of ugly things like Zcompare_Zplus_compat
ZArith/Znat: some nicer proofs and names, received stuff about Z_of_N
ZArith/Zmisc: almost empty new, only contain stuff about badly-named
iter. Should be reformed more someday.
ZArith/Zlog_def: Zlog2 is now based on Psize_pos, this factorizes
proofs and avoid slowdown due to adding 1 in Z instead of in positive
Zarith/Zpow_def: Zpower_opt is renamed more modestly Zpower_alt
as long as I dont't know why it's slower on powers of two.
Elsewhere: propagate new names + some nicer proofs
NB: Impact on compatibility is probably non-zero, but should be
really moderate. We'll see on contribs, but a few Require here
and there might be necessary.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13651 85f007b7-540e-0410-9357-904b9bb8a0f7
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Program in terms of implicit arguments to the rest of the library.
This commit only covers the case of list of implicit arguments that
have a different length in Program (e.g. inl, Vcons) but not the case of
implicit arguments which differs only in their maximality status
(e.g. pair).
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13575 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13471 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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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13294 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13293 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13286 85f007b7-540e-0410-9357-904b9bb8a0f7
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For the moment, almost no lemmas about (reflect P b), just the proofs
that it is equivalent with an P<->b=true.
is_true b is (b=true), and is meant to be added as a coercion
if one wants it. In the StdLib, this coercion is not globally
activated, but particular files are free to use Local Coercion...
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13275 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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Bvector uses only Minus, so let's avoid loading Arith
(and hence ArithRing and hence parts of Z, N)
Program.Syntax no longer need Lists now that list is in Datatypes.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12785 85f007b7-540e-0410-9357-904b9bb8a0f7
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in */*/vo.itarget
On the way: no more -fsets (yes|no) and -reals (yes|no) option of configure
if you want a partial build, make a specific rule such as theories-light
Beware: these vo.itarget should not contain comments. Even if this is legal
for ocamlbuild, the $(shell cat ...) we do in Makefile can't accept that.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12574 85f007b7-540e-0410-9357-904b9bb8a0f7
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- NStrongRec provides a "strong" recursor based on the usual one:
recursive calls can be done here on any lower value.
See binary log in NDefOps for an example of use.
- NDefOps contains alternative definitions of usual operators
(add, mul, ltb, pow, even, half, log)
via usual or strong recursor, and proofs of correctness and/or
of equivalence with axiomatized operators.
These files were in the archive but not being compiled,
some proofs of correction for functions defined there were missing.
By the way, some more iff-style lemmas in Bool.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12476 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12458 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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Mostly results about Zgcd (commutativity, associativity, ...).
Slight improvement of ZMicromega.
Beware: some lemmas of Zdiv/ Znumtheory were asking for
too strict or useless hypothesis. Some minor glitches may occur.
By the way, some iff lemmas about negb in Bool.v
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12313 85f007b7-540e-0410-9357-904b9bb8a0f7
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- Divers code mort (evarutil.ml, Bvector.v)
- MAJ perf-analysis
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11004 85f007b7-540e-0410-9357-904b9bb8a0f7
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du filtrage. Cela permet de détecter les cas impossibles et de simuler
les contraintes d'inversion exprimables sous la forme d'un assignement
des arguments du constructeurs (cf le cas de Vtail dans Bvector.v).
Si l'on filtre sur t:I u1 .. un, et que chaque ui a la forme vi(wi)
avec vi composé uniquement de constructeurs, et que le résultat final
est P(w1,...,wn) (qui est éventuellement lui-même une evar) alors on
construit le prédicat
Q:=fun x1 .. xn y =>
match x1 .. xn y with
| v1(z) .. vn(z) t => P(z)
| _ .. _ _ => ?evar-speciale-cas-impossible
end
qui vérifiera bien que Q u1 .. un = P(w1,..,wp).
En raison de limitations de l'unification (on aurait besoin d'eta
conversion pour résoudre des problèmes du genre
"terme rigide == match x with _ => ?evar end", et besoin d'instanciation par
constructeurs pour des cas comme "A(y) = match ?evar with C x => A(x) end"),
je n'ai pas réussi à traiter le cas général.
Aussi, on adopte une stratégie pragmatique consistant à tester
plusieurs prédicats possibles :
- si un type final est donné, on essaie d'abord l'algorithme de
Matthieu et sinon le nouvel algorithme (permet par exemple de traiter
certains cas d'élimination dépendante de Bvector.v),
- s'il n'y a pas de type final, on essaie d'abord le nouvel algo et
sinon, on essaie avec un prédicat sans dépendance (permet de traiter
des cas compliqués comme celui de par cas sur I' dans le fichier
Case13.v de la test-suite).
Dans la pratique, il y a beaucoup de changement dans le code de compile_case.
- Par exemple, la compilation est maintenant toujours appelé avec un
prédicat (là où l'on pouvait avoir None, on a maintenant toujours au
moins une evar).
- En revanche, le membre droit des clauses est maintenant
optionnel. Si c'est None, c'est qu'on se trouve dans le cas d'une
branche impossible au moment du calcul du prédicat de retour.
- Aussi, on renonce aux PrLetIn et PrProd dans l'expression du
predicat de retour mais il faut savoir que c'est maintenant la liste
des tomatchs qui spécifie le contexte exact dans lequel le prédicat
de retour est bien typé.
- Et d'autres...
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10883 85f007b7-540e-0410-9357-904b9bb8a0f7
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The benefit of these "only-parsing" notations in Bool.v were to
avoid replacing qualified Bool.andb by Datatypes.andb and so on.
But such Bool.xxxx are fairly rare (e.g. none in contribs),
and these notations have one serious drawback: with them,
Print andb leads to Datatypes.andb instead of the body of andb.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10812 85f007b7-540e-0410-9357-904b9bb8a0f7
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and idem for |||, thanks to a specific scope lazy_bool_scope.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10811 85f007b7-540e-0410-9357-904b9bb8a0f7
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but with lazy behavior while (vm_)computing
- FSetAVL.split has now a dedicated output type instead of ( ,( , ))
- Some proof adaptations.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10725 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10616 85f007b7-540e-0410-9357-904b9bb8a0f7
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NB: this change adds about 10s of compile-time to a file that is
already taking about 30s on my machine. If somebody strongly objects
to this, contact me. I really think that the gain in uniformity,
clarity, and computability (in Coq) worth the extra compile-time:
no more function-by-tactic, everything (vm_)computes, and quite
efficiently.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10545 85f007b7-540e-0410-9357-904b9bb8a0f7
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decidability of the usual equality
Major changes:
* andb_prop & andb_true_intro have been moved from Bool.v to Datatypes.v
* added 2 files:
* toplevel/ind_tables.ml* : tables where the boolean eqs and the
decidability proofs are stored
* toplevel/auto_ind_decl.ml* : code of the schemes that are automatically
generated from inductives types (currently boolean eq & decidability )
* improvement of injection: if the decidability have been correctly computed,
injection can now break the equalities over dependant pair
How to use:
Set Equality Scheme. to set the automatic generation of the equality when you
create a new inductive type
Scheme Equality for I. tries to create the equality for the already declared
type I
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10180 85f007b7-540e-0410-9357-904b9bb8a0f7
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and generic romega tactic...
For the moment, nothing is visible yet from the user's point of view
(hopefully). But internally, we prepare a romega that can works on
any integer types. ReflOmegaCore is now separated in several modules:
* First, an interface Int that specifies the minimal amount of things
needed on our integer type for romega to work:
- int should be a ring (re-use of ring_theory definition ;-)
- it should come with an total order, compatible with + * -
- we should have a decidable ternary comparison function
- moreover, we ask one (and only one!) critical property specific to
integers: a<b <-> a<=b-1
* Then a functor IntProperties derives from this interface all the
various lemmas on integers that are used in the romega part,
in particular the famous OMEGA?? lemmas.
* The romega reflexive part is now in another functor IntOmega,
that rely on some Int: no more Z inside. The main changes is
that Z0 was a constructor whereas our abstract zero isn't. So
matching Z0 is transformed into (if beq ... 0 then ...). With
extensive use of && and if then else, it's almost clearer this way.
* Finally, for the moment Z_as_Int show that Z fulfills our interface,
and ZOmega = IntOmega(Z_as_Int) is used by the tactic.
Remains to be done:
- revision of the refl_omega to use any Int instead of just Z,
and creating a user interface.
- Int has no particular reason to use the leibniz equality (only
rely on the beq boolean test). Setoids someday ?
- a version with "semi-ring" for nat ? or rather a generic way to plug
additional equations on the fly, e.g. n>=0 for every nat subpart ?
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9966 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9936 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9803 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9246 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9245 85f007b7-540e-0410-9357-904b9bb8a0f7
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sig, sig2, sumor, list et vector dans Type
- Branchement de prodT/listT vers les nouveaux prod/list
- Abandon sigS/sigS2 au profit de sigT et du nouveau sigT2
- Changements en conséquence dans les théories (notamment Field_Tactic),
ainsi que dans les modules ML Coqlib/Equality/Hipattern/Field
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@8866 85f007b7-540e-0410-9357-904b9bb8a0f7
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'properties' de Subversion
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@8758 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@8744 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@8642 85f007b7-540e-0410-9357-904b9bb8a0f7
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Suppression de bool_2, bool_4 et bool_5 très ad hoc
Renommage des lemmes demorgan* qui n'énoncent en fait pas les lois de de Morgan
Tentative partielle de renommage (un peu) plus uniforme
Pour les Hint:
- bool_5 de core remplacé en mettant exact diff_false_true dans core (un
peu plus faible mais marche dans la pratique pour les contribs)
- bool_2 remplacé par la transitivité sur bool (plus fort mais OK dans la
pratique, et pas trop fort pour ne pas atteindre la force de trans_eq)
- bool_4 apparemment pas utilisé
- andb_false_elim, spécifique, apparemment pas utilisé, et supprimé comme hint
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@8031 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@7965 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@7235 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@6844 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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sont supposes sans dependances en les arguments des constructeurs
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@5589 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@5321 85f007b7-540e-0410-9357-904b9bb8a0f7
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Hugo Herbelin
Pierre Boutillier
herbelin
letouzey
gareuselesinge
pboutill
glondu
vsiles
notin
coq