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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.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10291 85f007b7-540e-0410-9357-904b9bb8a0f7
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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)
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10131 85f007b7-540e-0410-9357-904b9bb8a0f7
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letouzey
herbelin
aspiwack