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George Pirlea
Iris
Commits
aaf0cfe3
Commit
aaf0cfe3
authored
Mar 07, 2019
by
Robbert Krebbers
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Clean up `greatest_fixpoint_ne_outer`.
parent
b624d134
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theories/bi/lib/fixpoint.v
theories/bi/lib/fixpoint.v
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theories/bi/lib/fixpoint.v
View file @
aaf0cfe3
...
...
@@ -75,14 +75,12 @@ Section least.
End
least
.
Lemma
greatest_fixpoint_ne_outer
{
PROP
:
bi
}
{
A
:
ofeT
}
(
F1
:
(
A
→
PROP
)
→
(
A
→
PROP
))
(
F2
:
(
A
→
PROP
)
→
(
A
→
PROP
))
:
(
F1
:
(
A
→
PROP
)
→
(
A
→
PROP
))
(
F2
:
(
A
→
PROP
)
→
(
A
→
PROP
))
:
(
∀
Φ
x
n
,
F1
Φ
x
≡
{
n
}
≡
F2
Φ
x
)
→
∀
x1
x2
n
,
(
dist
n
)
x1
x2
→
(
dist
n
)
(
bi_greatest_fixpoint
F1
x1
)
(
bi_greatest_fixpoint
F2
x2
)
.
x1
≡
{
n
}
≡
x2
→
bi_greatest_fixpoint
F1
x1
≡
{
n
}
≡
bi_greatest_fixpoint
F2
x2
.
Proof
.
intros
HF
???
Hx
.
rewrite
/
bi_greatest_fixpoint
/=.
f_equiv
.
f_equiv
.
f_equiv
.
2
:
solve_proper
.
f_equiv
.
f_equiv
.
f_equiv
.
f_equiv
.
apply
HF
.
intros
HF
x1
x2
n
Hx
.
rewrite
/
bi_greatest_fixpoint
/=.
do
3
f_equiv
;
last
solve_proper
.
repeat
f_equiv
.
apply
HF
.
Qed
.
Global
Instance
greatest_fixpoint_ne
{
PROP
:
bi
}
{
A
:
ofeT
}
n
:
...
...
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