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
Jonas Kastberg
iris
Commits
7a7e1d22
Commit
7a7e1d22
authored
May 17, 2018
by
Robbert Krebbers
Browse files
Options
Browse Files
Download
Email Patches
Plain Diff
Prove `□ False ⊣⊢ False`.
parent
0aeb4cdc
Changes
1
Hide whitespace changes
Inline
Side-by-side
Showing
1 changed file
with
4 additions
and
0 deletions
+4
-0
theories/bi/derived_laws_bi.v
theories/bi/derived_laws_bi.v
+4
-0
No files found.
theories/bi/derived_laws_bi.v
View file @
7a7e1d22
...
...
@@ -988,6 +988,8 @@ Proof.
by
rewrite
/
bi_intuitionistically
-
persistently_True_emp
persistently_pure
affinely_True_emp
affinely_emp
.
Qed
.
Lemma
intuitionistically_False
:
□
False
⊣
⊢
False
.
Proof
.
by
rewrite
/
bi_intuitionistically
persistently_pure
affinely_False
.
Qed
.
Lemma
intuitionistically_True_emp
:
□
True
⊣
⊢
emp
.
Proof
.
rewrite
-
intuitionistically_emp
/
bi_intuitionistically
...
...
@@ -1179,6 +1181,8 @@ Proof. destruct p; simpl; auto using intuitionistically_intro'. Qed.
Lemma
intuitionistically_if_emp
p
:
□
?p
emp
⊣
⊢
emp
.
Proof
.
destruct
p
;
simpl
;
auto
using
intuitionistically_emp
.
Qed
.
Lemma
intuitionistically_if_False
p
:
□
?p
False
⊣
⊢
False
.
Proof
.
destruct
p
;
simpl
;
auto
using
intuitionistically_False
.
Qed
.
Lemma
intuitionistically_if_and
p
P
Q
:
□
?p
(
P
∧
Q
)
⊣
⊢
□
?p
P
∧
□
?p
Q
.
Proof
.
destruct
p
;
simpl
;
auto
using
intuitionistically_and
.
Qed
.
Lemma
intuitionistically_if_or
p
P
Q
:
□
?p
(
P
∨
Q
)
⊣
⊢
□
?p
P
∨
□
?p
Q
.
...
...
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