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Tej Chajed
iris
Commits
b0d9c1a2
Commit
b0d9c1a2
authored
Nov 21, 2016
by
Ralf Jung
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simplify proof of step_fupd_mask_mono
parent
65c53d1d
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base_logic/lib/fancy_updates.v
base_logic/lib/fancy_updates.v
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base_logic/lib/fancy_updates.v
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b0d9c1a2
...
...
@@ -217,11 +217,9 @@ Lemma step_fupd_mask_mono E1 E2 F1 F2 P :
F1
⊆
F2
→
E1
⊆
E2
→
(|={
E1
,
F2
}
▷
=>
P
)
⊢
|={
E2
,
F1
}
▷
=>
P
.
Proof
.
iIntros
(??)
"HP"
.
iAssert
(|={
E2
,
E1
}
▷
=>
True
)%
I
as
"HE"
.
{
iApply
fupd_mono
.
apply
later_intro
.
by
iApply
fupd_intro_mask
.
}
iAssert
(|={
F2
,
F1
}
▷
=>
True
)%
I
as
"HF"
.
{
iApply
fupd_mono
.
apply
later_intro
.
by
iApply
fupd_intro_mask
.
}
iMod
"HE"
.
iMod
"HP"
.
iMod
"HF"
.
iModIntro
.
iNext
.
iMod
"HF"
.
iMod
"HP"
.
by
iMod
"HE"
.
iMod
(
fupd_intro_mask'
)
as
"HM1"
;
first
fast_done
.
iMod
"HP"
.
iMod
(
fupd_intro_mask'
)
as
"HM2"
;
first
fast_done
.
iModIntro
.
iNext
.
iMod
"HM2"
.
iMod
"HP"
.
iMod
"HM1"
.
done
.
Qed
.
End
step_fupd
.
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