Skip to content
GitLab
Projects
Groups
Snippets
Help
Loading...
Help
What's new
10
Help
Support
Community forum
Keyboard shortcuts
?
Submit feedback
Contribute to GitLab
Sign in / Register
Toggle navigation
Open sidebar
Rodolphe Lepigre
Iris
Commits
fe62f378
Commit
fe62f378
authored
Aug 27, 2019
by
Michael Sammler
Browse files
Options
Browse Files
Download
Email Patches
Plain Diff
added lemmas for list cmra
parent
666af42e
Changes
1
Show whitespace changes
Inline
Side-by-side
Showing
1 changed file
with
14 additions
and
0 deletions
+14
-0
theories/algebra/list.v
theories/algebra/list.v
+14
-0
No files found.
theories/algebra/list.v
View file @
fe62f378
...
...
@@ -359,6 +359,9 @@ Section properties.
Global
Instance
list_singleton_core_id
i
(
x
:
A
)
:
CoreId
x
→
CoreId
{[
i
:
=
x
]}.
Proof
.
by
rewrite
!
core_id_total
list_core_singletonM
=>
->.
Qed
.
Lemma
list_singleton_snoc
l
x
:
{[
length
l
:
=
x
]}
⋅
l
≡
l
++
[
x
].
Proof
.
elim
:
l
=>
//=
??
<-.
by
rewrite
left_id
.
Qed
.
(* Update *)
Lemma
list_singleton_updateP
(
P
:
A
→
Prop
)
(
Q
:
list
A
→
Prop
)
x
:
...
...
@@ -446,6 +449,17 @@ Section properties.
x ~l~> y @ ml ≫= (!! i) → {[ i := x ]} ~l~> {[ i := y ]} @ ml.
Proof. intros; apply list_middle_local_update. by rewrite replicate_length. Qed.
*)
Lemma
list_alloc_singleton_local_update
x
l
:
✓
x
→
(
l
,
ε
)
~l
~>
(
l
++
[
x
],
{[
length
l
:
=
x
]}).
Proof
.
move
=>
?.
have
->
:
({[
length
l
:
=
x
]}
≡
{[
length
l
:
=
x
]}
⋅
ε
)
by
rewrite
right_id
.
rewrite
-
list_singleton_snoc
.
apply
op_local_update
=>
??.
rewrite
list_singleton_snoc
app_validN
cons_validN
.
split_and
?
=>
//
;
[|
constructor
].
by
apply
cmra_valid_validN
.
Qed
.
End
properties
.
(** Functor *)
...
...
Write
Preview
Markdown
is supported
0%
Try again
or
attach a new file
.
Attach a file
Cancel
You are about to add
0
people
to the discussion. Proceed with caution.
Finish editing this message first!
Cancel
Please
register
or
sign in
to comment