Skip to content
GitLab
Projects
Groups
Snippets
Help
Loading...
Help
Help
Support
Keyboard shortcuts
?
Submit feedback
Contribute to GitLab
Sign in / Register
Toggle navigation
S
stdpp
Project overview
Project overview
Details
Activity
Releases
Repository
Repository
Files
Commits
Branches
Tags
Contributors
Graph
Compare
Issues
41
Issues
41
List
Boards
Labels
Service Desk
Milestones
Merge Requests
3
Merge Requests
3
CI / CD
CI / CD
Pipelines
Jobs
Schedules
Operations
Operations
Environments
Analytics
Analytics
CI / CD
Repository
Value Stream
Wiki
Wiki
Members
Members
Collapse sidebar
Close sidebar
Activity
Graph
Create a new issue
Jobs
Commits
Issue Boards
Open sidebar
Iris
stdpp
Commits
3544168c
Commit
3544168c
authored
Sep 06, 2017
by
Robbert Krebbers
Browse files
Options
Browse Files
Download
Email Patches
Plain Diff
Put delete_singleton lemmas together.
parent
d9dd7c5e
Changes
1
Hide whitespace changes
Inline
Side-by-side
Showing
1 changed file
with
3 additions
and
3 deletions
+3
-3
theories/fin_maps.v
theories/fin_maps.v
+3
-3
No files found.
theories/fin_maps.v
View file @
3544168c
...
...
@@ -396,8 +396,6 @@ Proof.
Qed
.
Lemma
delete_empty
{
A
}
i
:
delete
i
(
∅
:
M
A
)
=
∅
.
Proof
.
rewrite
<-(
partial_alter_self
∅
)
at
2
.
by
rewrite
lookup_empty
.
Qed
.
Lemma
delete_singleton
{
A
}
i
(
x
:
A
)
:
delete
i
{[
i
:
=
x
]}
=
∅
.
Proof
.
setoid_rewrite
<-
partial_alter_compose
.
apply
delete_empty
.
Qed
.
Lemma
delete_commute
{
A
}
(
m
:
M
A
)
i
j
:
delete
i
(
delete
j
m
)
=
delete
j
(
delete
i
m
).
Proof
.
destruct
(
decide
(
i
=
j
)).
by
subst
.
by
apply
partial_alter_commute
.
Qed
.
...
...
@@ -578,8 +576,10 @@ Proof.
Qed
.
Lemma
singleton_non_empty
{
A
}
i
(
x
:
A
)
:
{[
i
:
=
x
]}
≠
∅
.
Proof
.
apply
insert_non_empty
.
Qed
.
Lemma
delete_singleton
{
A
}
i
(
x
:
A
)
:
delete
i
{[
i
:
=
x
]}
=
∅
.
Proof
.
setoid_rewrite
<-
partial_alter_compose
.
apply
delete_empty
.
Qed
.
Lemma
delete_singleton_ne
{
A
}
i
j
(
x
:
A
)
:
j
≠
i
→
delete
i
{[
j
:
=
x
]}
=
{[
j
:
=
x
]}.
j
≠
i
→
delete
i
{[
j
:
=
x
]}
=
{[
j
:
=
x
]}.
Proof
.
intro
.
apply
delete_notin
.
by
apply
lookup_singleton_ne
.
Qed
.
(** ** Properties of the map operations *)
...
...
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