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Amin Timany
iris-coq
Commits
adfc72fa
Commit
adfc72fa
authored
9 years ago
by
David Swasey
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Statement of ra_sep_ex.
parent
109ed91f
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iris_core.v
+2
-3
2 additions, 3 deletions
iris_core.v
lib/ModuRes/RAConstr.v
+1
-1
1 addition, 1 deletion
lib/ModuRes/RAConstr.v
with
3 additions
and
4 deletions
iris_core.v
+
2
−
3
View file @
adfc72fa
...
...
@@ -201,9 +201,8 @@ Module Type IRIS_CORE (RL : VIRA_T) (C : CORE_LANG) (R: IRIS_RES RL C) (WP: WORL
Section
Resources
.
Lemma
state_sep
{
σ
g
rf
}
(
Hv
:
↓
(
ex_own
σ
,
g
)
·
rf
)
:
fst
rf
==
1
(
ex_own
σ
)
.
Proof
.
move
:
(
ra_sep_prod
Hv
)
=>
[
Hs
_];
exact
:
ra_sep_ex
Hs
.
Qed
.
Lemma
state_sep
{
σ
g
rf
}
(
Hv
:
↓
(
ex_own
σ
,
g
)
·
rf
)
:
fst
rf
==
1
(
ex_own
σ
)
.
Proof
.
move
:
(
ra_sep_prod
Hv
)
=>
[
Hs
_]
.
by
rewrite
(
ra_sep_ex
Hs
)
.
Qed
.
Lemma
state_fps
{
σ
g
σ'
rf
}
(
Hv
:
↓
(
ex_own
σ
,
g
)
·
rf
)
:
↓
(
ex_own
σ'
,
g
)
·
rf
.
Proof
.
exact
:
(
ra_fps_fst
(
ra_fps_ex
σ
σ'
)
rf
)
.
Qed
.
...
...
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lib/ModuRes/RAConstr.v
+
1
−
1
View file @
adfc72fa
...
...
@@ -73,7 +73,7 @@ Section Exclusive.
-
intros
[
t1
|
|]
[
t2
|
|];
unfold
ra_valid
;
simpl
;
now
auto
.
Qed
.
Lemma
ra_sep_ex
{
t
r
}
:
↓
ex_own
t
·
r
->
r
=
=
1
r
.
Lemma
ra_sep_ex
{
t
r
}
:
↓
ex_own
t
·
r
->
r
=
1
r
.
Proof
.
by
case
:
r
.
Qed
.
Lemma
ra_fps_ex_any
t
{
r
}
(
Hr
:
↓
r
)
:
ex_own
t
⇝
r
.
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