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b46746a9
Commit
b46746a9
authored
Jun 25, 2016
by
Robbert Krebbers
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Fix inconsistent name later_exist'.
parent
f31533a8
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algebra/upred.v
algebra/upred.v
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algebra/upred.v
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b46746a9
...
...
@@ -980,7 +980,7 @@ Lemma later_forall {A} (Φ : A → uPred M) : (▷ ∀ a, Φ a) ⊣⊢ (∀ a,
Proof
.
unseal
;
by
split
=>
-[|
n
]
x
.
Qed
.
Lemma
later_exist_1
{
A
}
(
Φ
:
A
→
uPred
M
)
:
(
∃
a
,
▷
Φ
a
)
⊢
(
▷
∃
a
,
Φ
a
).
Proof
.
unseal
;
by
split
=>
-[|[|
n
]]
x
.
Qed
.
Lemma
later_exist
'
`
{
Inhabited
A
}
(
Φ
:
A
→
uPred
M
)
:
(
▷
∃
a
,
Φ
a
)
⊢
∃
a
,
▷
Φ
a
.
Lemma
later_exist
_2
`
{
Inhabited
A
}
(
Φ
:
A
→
uPred
M
)
:
(
▷
∃
a
,
Φ
a
)
⊢
∃
a
,
▷
Φ
a
.
Proof
.
unseal
;
split
=>
-[|[|
n
]]
x
;
done
||
by
exists
inhabitant
.
Qed
.
Lemma
later_sep
P
Q
:
▷
(
P
★
Q
)
⊣
⊢
▷
P
★
▷
Q
.
Proof
.
...
...
@@ -1009,7 +1009,7 @@ Proof.
Qed
.
Lemma
later_exist
`
{
Inhabited
A
}
(
Φ
:
A
→
uPred
M
)
:
▷
(
∃
a
,
Φ
a
)
⊣
⊢
(
∃
a
,
▷
Φ
a
).
Proof
.
apply
:
anti_symm
;
eauto
using
later_exist
'
,
later_exist_1
.
Qed
.
Proof
.
apply
:
anti_symm
;
eauto
using
later_exist
_2
,
later_exist_1
.
Qed
.
Lemma
later_wand
P
Q
:
▷
(
P
-
★
Q
)
⊢
▷
P
-
★
▷
Q
.
Proof
.
apply
wand_intro_r
;
rewrite
-
later_sep
;
apply
later_mono
,
wand_elim_l
.
Qed
.
Lemma
later_iff
P
Q
:
▷
(
P
↔
Q
)
⊢
▷
P
↔
▷
Q
.
...
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