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make solve_ndisj more powerful
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make solve_ndisj more powerful
ralf/solve_ndisj
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Ralf Jung
requested to merge
ralf/solve_ndisj
into
master
5 years ago
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#34 (closed)
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theories/namespaces.v
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@@ -68,27 +68,27 @@ Section namespace.
Proof
.
intros
.
by
apply
symmetry
,
ndot_preserve_disjoint_l
.
Qed
.
End
namespace
.
(* The hope is that registering these will suffice to solve most goals
(*
*
The hope is that registering these will suffice to solve most goals
of the forms:
- [N1 ## N2]
- [↑N1 ⊆ E ∖ ↑N2 ∖ .. ∖ ↑Nn]
- [E1 ∖ ↑N1 ⊆ E2 ∖ ↑N2 ∖ .. ∖ ↑Nn] *)
Create
HintDb
ndisj
.
(* Rules for goals of the form [_ ⊆ _] *)
(* If-and-only-if rules. Well, not quite, but for the fragment we are
(*
*
Rules for goals of the form [_ ⊆ _] *)
(*
*
If-and-only-if rules. Well, not quite, but for the fragment we are
considering they are. *)
Hint
Resolve
(
subseteq_difference_r
(
A
:=
positive
)
(
C
:=
coPset
))
:
ndisj
.
Hint
Resolve
(
empty_subseteq
(
A
:=
positive
)
(
C
:=
coPset
))
:
ndisj
.
Hint
Resolve
(
union_least
(
A
:=
positive
)
(
C
:=
coPset
))
:
ndisj
.
(* Fallback, loses lots of information but lets other rules make progress. *)
(*
*
Fallback, loses lots of information but lets other rules make progress. *)
Hint
Resolve
(
subseteq_difference_l
(
A
:=
positive
)
(
C
:=
coPset
))
|
100
:
ndisj
.
Hint
Resolve
nclose_subseteq'
|
100
:
ndisj
.
(* Rules for goals of the form [_ ## _] *)
(* The base rule that we want to ultimately get down to. *)
(*
*
Rules for goals of the form [_ ## _] *)
(*
*
The base rule that we want to ultimately get down to. *)
Hint
Extern
0
(_
##
_)
=>
apply
ndot_ne_disjoint
;
congruence
:
ndisj
.
(* Fallback, loses lots of information but lets other rules make progress.
(*
*
Fallback, loses lots of information but lets other rules make progress.
Tests show trying [disjoint_difference_l1] first gives better performance. *)
Hint
Resolve
(
disjoint_difference_l1
(
A
:=
positive
)
(
C
:=
coPset
))
|
50
:
ndisj
.
Hint
Resolve
(
disjoint_difference_l2
(
A
:=
positive
)
(
C
:=
coPset
))
|
100
:
ndisj
.
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