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For the moment, the Ints files are simply moved into directories in
theories/Numbers with meaningful names. No filenames changed, apart
from:
Zaux.v -> theories/Numbers/BigNumPrelude.v
MemoFn.v -> theories/Lists/StreamMemo.v
More to come...
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now. Fix proof scripts that failed correspondingly. Should make many
contribs compile again...
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fichiers en attendant une intégration à theories/Numbers
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substitution. Makes unification succeed a bit more often, hence auto
works better in some cases.
- Backtrack the changes of auto using Hint Unfold to do more delta and add
a new tactic "new auto" which does that, for compatibility.
The first fix may have a big impact on the contribs, whereas the second
should make them compile again... we'll see.
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debugging and printing hint databases
- Typeclasses unfold now correctly adds _global_ unfold hints.
- New tactic autosimpl to do simplification using the declared unfold
hints in given hint databases.
- Work on auto-modulo-some-delta (the declared Unfold constants),
actually used mostly if the goal contains evars, as Hint_db.map_auto
does not work up-to any conversions (yet).
- Fix GenMul which was using the old semantics of failing early because
of variance checks, which is not possible in the new implementation.
- Restrict when reflexive_morphism may be used using an extern tactic.
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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.
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entre (** *)
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of Zdiv
Some details:
- ZAux.v is the only file left in Ints/Z. The few elements that remain in it
are rather specific or compatibility oriented. Others parts and files have
been either deleted when unused or pushed into some place of ZArith.
- Ints/List/ is removed since it was not needed anymore
- Ints/Tactic.v disappear: some of its tactic were unused, some already in
Tactics.v (case_eq, f_equal instead of eq_tac), and the nice contradict
has been added to Tactics.v
- Znumtheory inherits lots of results about Zdivide, rel_prime, prime, Zgcd, ...
- A new file Zpow_facts inherits lots of results about Zpower. Placing them
into Zpower would have been difficult with respect to compatibility
(import of ring)
- A few things added to Zmax, Zabs, Znat, Zsqrt, Zeven, Zorder
- Adequate adaptations to Ints/num/* (mainly renaming of lemmas)
Now, concerning Zdiv, the behavior when dividing by a negative number is now
fully proved. When this was possible, existing lemmas has been extended,
either from strictly positive to non-zero divisor, or even to arbitrary
divisor (especially when playing with Zmod). These extended lemmas are named
with the suffix _full, whereas the original restrictive lemmas are retained
for compatibility. Several lemmas now have shorter proofs (based on unicity
lemmas). Lemmas are now more or less organized by themes (division and order,
division and usual operations, etc). Three possible choices of spec for
divisions on negative numbers are presented: this Zdiv, the ocaml approach
and the remainder-always-positive approach. The ugly behavior of Zopp
with the current choice of Zdiv/Zmod is now fully covered. A embryo of
division "a la Ocaml" is given: Odiv and Omod.
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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 ...
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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.
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that "intros ? a ? b" behaves as expected.
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the latter is bound to a var which is not a quantified one - this led
to remove a line marked "temporary compatibility" ... ; made a distinction
between quantified hypothesis as for "intros until" and binding names as
in "apply with"; in both cases, we now expect that a identifier not used
as a variable, as in "apply f_equal with f:=g" where "f" is a true binder
name in f_equal, must not be used as a variable elsewhere [see
corresponding change in Ints/Tactic.v])
- Fixing bug 1643 (bug in the algorithm used to possibly reuse a
global name in the recursive calls of a coinductive term)
- Fixing bug 1699 (bug in contracting nested patterns at printing time
when the return clause of the subpatterns is dependent)
- Fixing bug 1697 (bug in the TacAssert clause of Tacinterp.subst_tactic)
- Fixing bug 1678 (bug in converting constr_pattern to constr in Constrextern)
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do_norm. Corrigé par analogie avec N11, N12, ...
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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.
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noté cette erreur de ma part (copier/coller mon amour).
Ça créait des soucis dans les dépendance dans l'ancienne architecture de
Makefile, probablement dans la nouvelle aussi dans certaines
circonstances. Exit les bêtise, c'est plus propre maintenant.
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couple de Int31).
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details).
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