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iris
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Tej Chajed
iris
Commits
334b689e
Commit
334b689e
authored
Oct 20, 2018
by
Joseph Tassarotti
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Plain Diff
Use plainly modality instead of typeclass in BiFUpdPlainly interface.
parent
7c32c1ac
Changes
3
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3 changed files
with
20 additions
and
12 deletions
+20
12
theories/base_logic/lib/fancy_updates.v
theories/base_logic/lib/fancy_updates.v
+4
4
theories/bi/monpred.v
theories/bi/monpred.v
+4
4
theories/bi/updates.v
theories/bi/updates.v
+12
4
No files found.
theories/base_logic/lib/fancy_updates.v
View file @
334b689e
...
@@ 41,12 +41,12 @@ Proof. rewrite /BiBUpdFUpd uPred_fupd_eq. by iIntros (E P) ">? [$ $] !> !>". Qed
...
@@ 41,12 +41,12 @@ Proof. rewrite /BiBUpdFUpd uPred_fupd_eq. by iIntros (E P) ">? [$ $] !> !>". Qed
Instance
uPred_bi_fupd_plainly
`
{
invG
Σ
}
:
BiFUpdPlainly
(
uPredSI
(
iResUR
Σ
)).
Instance
uPred_bi_fupd_plainly
`
{
invG
Σ
}
:
BiFUpdPlainly
(
uPredSI
(
iResUR
Σ
)).
Proof
.
Proof
.
split
.
split
.

rewrite
uPred_fupd_eq
/
uPred_fupd_def
.
iIntros
(
E
P
Q
?
)
"HQP HQ [Hw HE]"
.

rewrite
uPred_fupd_eq
/
uPred_fupd_def
.
iIntros
(
E
P
Q
)
"HQP HQ [Hw HE]"
.
iAssert
(
◇
P
)%
I
as
"#>$
"
.
iAssert
(
◇
■
P
)%
I
as
"#>HP'
"
.
{
by
iMod
(
"HQP"
with
"HQ [$]"
)
as
"(_ & _ & HP)"
.
}
{
by
iMod
(
"HQP"
with
"HQ [$]"
)
as
"(_ & _ & HP)"
.
}
by
iFrame
.
by
iFrame
.

rewrite
uPred_fupd_eq
/
uPred_fupd_def
.
iIntros
(
p
E1
E2
P
?
)
"HP [Hw HE]"
.

rewrite
uPred_fupd_eq
/
uPred_fupd_def
.
iIntros
(
p
E1
E2
P
)
"HP [Hw HE]"
.
iAssert
(
▷
?p
◇
P
)%
I
with
"[]"
as
"#$"
;
last
by
iFrame
.
iAssert
(
▷
?p
◇
■
P
)%
I
with
"[]"
as
"#HP'"
;
last
by
(
rewrite
plainly_elim
;
iFrame
)
.
iNext
.
by
iMod
(
"HP"
with
"[$]"
)
as
"(_ & _ & HP)"
.
iNext
.
by
iMod
(
"HP"
with
"[$]"
)
as
"(_ & _ & HP)"
.
Qed
.
Qed
.
...
...
theories/bi/monpred.v
View file @
334b689e
...
@@ 957,10 +957,10 @@ Proof. move => [] /(_ i). rewrite /Plain monPred_at_plainly bi.forall_elim //. Q
...
@@ 957,10 +957,10 @@ Proof. move => [] /(_ i). rewrite /Plain monPred_at_plainly bi.forall_elim //. Q
Global
Instance
monPred_bi_fupd_plainly
`
{
BiFUpdPlainly
PROP
}
:
BiFUpdPlainly
monPredSI
.
Global
Instance
monPred_bi_fupd_plainly
`
{
BiFUpdPlainly
PROP
}
:
BiFUpdPlainly
monPredSI
.
Proof
.
Proof
.
split
;
rewrite
monPred_fupd_eq
;
unseal
.
split
;
rewrite
monPred_fupd_eq
;
unseal
.

intros
E
P
Q
?
.
split
=>/=
i
.
do
3
f_equiv
.

intros
E
P
Q
.
split
=>/=
i
.
do
3
f_equiv
.
apply
fupd_plain_weak
;
apply
_
.
rewrite
monPred_at_plainly
(
bi
.
forall_elim
_
)
fupd_plainly_weak
//=
.

intros
p
E1
E2
P
?.
split
=>/=
i
.
specialize
(
later_fupd_plain
p
)
=>
HFP
.

intros
p
E1
E2
P
;
split
=>/=
i
;
specialize
(
later_fupd_plainly
p
)
=>
HFP
.
destruct
p
;
simpl
;
[
unseal

]
;
apply
HFP
,
_
.
destruct
p
;
simpl
;
[
unseal

]
;
rewrite
monPred_at_plainly
(
bi
.
forall_elim
_
)
;
apply
HFP
.
Qed
.
Qed
.
Global
Instance
plainly_objective
`
{
BiPlainly
PROP
}
P
:
Objective
(
■
P
).
Global
Instance
plainly_objective
`
{
BiPlainly
PROP
}
P
:
Objective
(
■
P
).
...
...
theories/bi/updates.v
View file @
334b689e
...
@@ 78,10 +78,10 @@ Class BiBUpdPlainly (PROP : sbi) `{!BiBUpd PROP, !BiPlainly PROP} :=
...
@@ 78,10 +78,10 @@ Class BiBUpdPlainly (PROP : sbi) `{!BiBUpd PROP, !BiPlainly PROP} :=
Hint
Mode
BiBUpdPlainly
!


:
typeclass_instances
.
Hint
Mode
BiBUpdPlainly
!


:
typeclass_instances
.
Class
BiFUpdPlainly
(
PROP
:
sbi
)
`
{!
BiFUpd
PROP
,
!
BiPlainly
PROP
}
:
=
{
Class
BiFUpdPlainly
(
PROP
:
sbi
)
`
{!
BiFUpd
PROP
,
!
BiPlainly
PROP
}
:
=
{
fupd_plain
_weak
E
(
P
Q
:
PROP
)
`
{!
Plain
P
}
:
fupd_plain
ly_weak
E
(
P
Q
:
PROP
)
:
(
Q
={
E
}=
∗
P
)

∗
Q
={
E
}=
∗
Q
∗
P
;
(
Q
={
E
}=
∗
■
P
)

∗
Q
={
E
}=
∗
Q
∗
P
;
later_fupd_plain
p
E1
E2
(
P
:
PROP
)
`
{!
Plain
P
}
:
later_fupd_plain
ly
p
E1
E2
(
P
:
PROP
)
:
(
▷
?p
={
E1
,
E2
}=>
P
)
={
E1
}=
∗
▷
?p
◇
P
;
(
▷
?p
={
E1
,
E2
}=>
■
P
)
={
E1
}=
∗
▷
?p
◇
P
;
}.
}.
Hint
Mode
BiBUpdFUpd
!


:
typeclass_instances
.
Hint
Mode
BiBUpdFUpd
!


:
typeclass_instances
.
...
@@ 272,6 +272,14 @@ Section fupd_derived.
...
@@ 272,6 +272,14 @@ Section fupd_derived.
intros
P1
P2
HP
Q1
Q2
HQ
.
by
rewrite
HP
HQ

fupd_sep
.
intros
P1
P2
HP
Q1
Q2
HQ
.
by
rewrite
HP
HQ

fupd_sep
.
Qed
.
Qed
.
Lemma
fupd_plain_weak
`
{
BiPlainly
PROP
,
!
BiFUpdPlainly
PROP
}
E
P
Q
`
{!
Plain
P
}
:
(
Q
={
E
}=
∗
P
)

∗
Q
={
E
}=
∗
Q
∗
P
.
Proof
.
by
rewrite
{
1
}(
plain
P
)
fupd_plainly_weak
.
Qed
.
Lemma
later_fupd_plain
`
{
BiPlainly
PROP
,
!
BiFUpdPlainly
PROP
}
p
E1
E2
P
`
{!
Plain
P
}
:
(
▷
?p
={
E1
,
E2
}=>
P
)
={
E1
}=
∗
▷
?p
◇
P
.
Proof
.
by
rewrite
{
1
}(
plain
P
)
later_fupd_plainly
.
Qed
.
Lemma
fupd_plain_strong
`
{
BiPlainly
PROP
,
!
BiFUpdPlainly
PROP
}
E1
E2
P
`
{!
Plain
P
}
:
Lemma
fupd_plain_strong
`
{
BiPlainly
PROP
,
!
BiFUpdPlainly
PROP
}
E1
E2
P
`
{!
Plain
P
}
:
(={
E1
,
E2
}=>
P
)
={
E1
}=
∗
◇
P
.
(={
E1
,
E2
}=>
P
)
={
E1
}=
∗
◇
P
.
Proof
.
by
apply
(
later_fupd_plain
false
).
Qed
.
Proof
.
by
apply
(
later_fupd_plain
false
).
Qed
.
...
...
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