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Iris
Fairis
Commits
d44228a5
Commit
d44228a5
authored
Feb 14, 2016
by
Robbert Krebbers
Browse files
Left and right mononicity properties for uPred_sep.
parent
4e8a8de6
Changes
1
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algebra/upred.v
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d44228a5
...
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@@ -576,6 +576,10 @@ Proof. by intros x n ? (x1&x2&Hx&HPQ&?); cofe_subst; apply HPQ. Qed.
(
*
Derived
BI
Stuff
*
)
Hint
Resolve
sep_mono
.
Lemma
sep_mono_l
P
P
'
Q
:
P
⊑
Q
→
(
P
★
P
'
)
⊑
(
Q
★
P
'
).
Proof
.
by
intros
;
apply
sep_mono
.
Qed
.
Lemma
sep_mono_r
P
P
'
Q
'
:
P
'
⊑
Q
'
→
(
P
★
P
'
)
⊑
(
P
★
Q
'
).
Proof
.
by
apply
sep_mono
.
Qed
.
Global
Instance
sep_mono
'
:
Proper
((
⊑
)
==>
(
⊑
)
==>
(
⊑
))
(
@
uPred_sep
M
).
Proof
.
by
intros
P
P
'
HP
Q
Q
'
HQ
;
apply
sep_mono
.
Qed
.
Global
Instance
sep_flip_mono
'
:
...
...
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