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8c2608ed
Commit
8c2608ed
authored
Oct 28, 2016
by
Robbert Krebbers
Browse files
Add flipped mono instances for wand, impl, forall, exist.
This commit fixes #41.
parent
f3222ba2
Pipeline
#2916
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in 9 minutes and 23 seconds
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base_logic/derived.v
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8c2608ed
...
...
@@ -113,11 +113,20 @@ Proof. by intros P P' HP Q Q' HQ; apply or_mono. Qed.
Global
Instance
impl_mono'
:
Proper
(
flip
(
⊢
)
==>
(
⊢
)
==>
(
⊢
))
(@
uPred_impl
M
).
Proof
.
by
intros
P
P'
HP
Q
Q'
HQ
;
apply
impl_mono
.
Qed
.
Global
Instance
impl_flip_mono'
:
Proper
((
⊢
)
==>
flip
(
⊢
)
==>
flip
(
⊢
))
(@
uPred_impl
M
).
Proof
.
by
intros
P
P'
HP
Q
Q'
HQ
;
apply
impl_mono
.
Qed
.
Global
Instance
forall_mono'
A
:
Proper
(
pointwise_relation
_
(
⊢
)
==>
(
⊢
))
(@
uPred_forall
M
A
).
Proof
.
intros
P1
P2
;
apply
forall_mono
.
Qed
.
Global
Instance
forall_flip_mono'
A
:
Proper
(
pointwise_relation
_
(
flip
(
⊢
))
==>
flip
(
⊢
))
(@
uPred_forall
M
A
).
Proof
.
intros
P1
P2
;
apply
forall_mono
.
Qed
.
Global
Instance
exist_mono'
A
:
Proper
(
pointwise_relation
_
(
⊢
)
==>
(
⊢
))
(@
uPred_exist
M
A
).
Proper
(
pointwise_relation
_
(
flip
(
⊢
))
==>
flip
(
⊢
))
(@
uPred_exist
M
A
).
Proof
.
intros
P1
P2
;
apply
exist_mono
.
Qed
.
Global
Instance
exist_flip_mono'
A
:
Proper
(
pointwise_relation
_
(
flip
(
⊢
))
==>
flip
(
⊢
))
(@
uPred_exist
M
A
).
Proof
.
intros
P1
P2
;
apply
exist_mono
.
Qed
.
Global
Instance
and_idem
:
IdemP
(
⊣
⊢
)
(@
uPred_and
M
).
...
...
@@ -303,6 +312,9 @@ Proof.
Qed
.
Global
Instance
wand_mono'
:
Proper
(
flip
(
⊢
)
==>
(
⊢
)
==>
(
⊢
))
(@
uPred_wand
M
).
Proof
.
by
intros
P
P'
HP
Q
Q'
HQ
;
apply
wand_mono
.
Qed
.
Global
Instance
wand_flip_mono'
:
Proper
((
⊢
)
==>
flip
(
⊢
)
==>
flip
(
⊢
))
(@
uPred_wand
M
).
Proof
.
by
intros
P
P'
HP
Q
Q'
HQ
;
apply
wand_mono
.
Qed
.
Global
Instance
sep_comm
:
Comm
(
⊣
⊢
)
(@
uPred_sep
M
).
Proof
.
intros
P
Q
;
apply
(
anti_symm
_
)
;
auto
using
sep_comm'
.
Qed
.
...
...
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