diff options
| author |  Matthieu Sozeau <matthieu.sozeau@inria.fr> | 2014-09-25 00:12:26 +0200 |
|---|---|---|
| committer | Matthieu Sozeau <matthieu.sozeau@inria.fr> | 2014-09-27 21:56:58 +0200 |
| commit | 3fe4912b568916676644baeb982a3e10c592d887 (patch) | |
| tree | 291c25d55d62c94af8fc3eb5a6d6df1150bc893f /plugins/micromega/ZMicromega.v | |
| parent | a95210435f336d89f44052170a7c65563e6e35f2 (diff) | |
Keyed unification option, compiling the whole standard library
(but deactivated still).
Set Keyed Unification to activate the option, which changes
subterm selection to _always_ use full conversion _after_ finding a
subterm whose head/key matches the key of the term we're looking for.
This applies to rewrite and higher-order unification in
apply/elim/destruct.
Most proof scripts already abide by these semantics. For those that
don't, it's usually only a matter of using:
Declare Equivalent Keys f g.
This make keyed unification consider f and g to match as keys.
This takes care of most cases of abbreviations: typically Def foo :=
bar and rewriting with a bar-headed lhs in a goal mentioning foo works
once they're set equivalent.
For canonical structures, these hints should be automatically declared.
For non-global-reference headed terms, the key is the constructor name
(Sort, Prod...). Evars and metas are no keys.
INCOMPATIBILITIES:
In FMapFullAVL, a Function definition doesn't go through with keyed
unification on.
Diffstat (limited to 'plugins/micromega/ZMicromega.v')
| -rw-r--r-- | plugins/micromega/ZMicromega.v | 10 |
1 files changed, 6 insertions, 4 deletions
diff --git a/plugins/micromega/ZMicromega.v b/plugins/micromega/ZMicromega.v index 78837d4cd..c982db393 100644 --- a/plugins/micromega/ZMicromega.v +++ b/plugins/micromega/ZMicromega.v @@ -155,12 +155,16 @@ Proof. Qed. Definition psub := psub Z0 Z.add Z.sub Z.opp Zeq_bool. +Declare Equivalent Keys psub RingMicromega.psub. Definition padd := padd Z0 Z.add Zeq_bool. +Declare Equivalent Keys padd RingMicromega.padd. Definition norm := norm 0 1 Z.add Z.mul Z.sub Z.opp Zeq_bool. +Declare Equivalent Keys norm RingMicromega.norm. Definition eval_pol := eval_pol Z.add Z.mul (fun x => x). +Declare Equivalent Keys eval_pol RingMicromega.eval_pol. Lemma eval_pol_sub : forall env lhs rhs, eval_pol env (psub lhs rhs) = eval_pol env lhs - eval_pol env rhs. Proof. @@ -202,11 +206,10 @@ Definition normalise (t:Formula Z) : cnf (NFormula Z) := Lemma normalise_correct : forall env t, eval_cnf eval_nformula env (normalise t) <-> Zeval_formula env t. Proof. - Opaque padd. - unfold normalise, xnormalise ; simpl; intros env t. + unfold normalise, xnormalise; cbn -[padd]; intros env t. rewrite Zeval_formula_compat. unfold eval_cnf, eval_clause. - destruct t as [lhs o rhs]; case_eq o; simpl; + destruct t as [lhs o rhs]; case_eq o; cbn -[padd]; repeat rewrite eval_pol_sub; repeat rewrite eval_pol_add; repeat rewrite <- eval_pol_norm ; simpl in *; @@ -216,7 +219,6 @@ Proof. generalize (eval_pexpr Z.add Z.mul Z.sub Z.opp (fun x : Z => x) (fun x : N => x) (pow_N 1 Z.mul) env rhs) ; intros z1 z2 ; intros ; subst; intuition (auto with zarith). - Transparent padd. Qed. Definition xnegate (t:RingMicromega.Formula Z) : list (NFormula Z) := |