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Iris
Iris
Commits
ce748a67
Commit
ce748a67
authored
Dec 21, 2015
by
Robbert Krebbers
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Remove superfluous parameter of agreement.
parent
9813f9b5
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modures/agree.v
modures/agree.v
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modures/agree.v
View file @
ce748a67
Require
Export
modures
.
cmra
.
Local
Hint
Extern
10
(
_
≤
_
)
=>
omega
.
Record
agree
A
`
{
Dist
A
}
:
=
Agree
{
Record
agree
(
A
:
Type
)
:
Type
:
=
Agree
{
agree_car
:
>
nat
→
A
;
agree_is_valid
:
nat
→
Prop
;
agree_valid_0
:
agree_is_valid
0
;
agree_valid_S
n
:
agree_is_valid
(
S
n
)
→
agree_is_valid
n
}.
Arguments
Agree
{
_
_
}
_
_
_
_
.
Arguments
agree_car
{
_
_
}
_
_
.
Arguments
agree_is_valid
{
_
_
}
_
_
.
Arguments
Agree
{
_
}
_
_
_
_
.
Arguments
agree_car
{
_
}
_
_
.
Arguments
agree_is_valid
{
_
}
_
_
.
Section
agree
.
Context
`
{
Cofe
A
}.
...
...
@@ -124,8 +124,7 @@ Proof.
Qed
.
End
agree
.
Program
Definition
agree_map
`
{
Dist
A
,
Dist
B
}
(
f
:
A
→
B
)
(
x
:
agree
A
)
:
agree
B
:
=
Program
Definition
agree_map
{
A
B
}
(
f
:
A
→
B
)
(
x
:
agree
A
)
:
agree
B
:
=
{|
agree_car
n
:
=
f
(
x
n
)
;
agree_is_valid
:
=
agree_is_valid
x
|}.
Solve
Obligations
with
auto
using
agree_valid_0
,
agree_valid_S
.
...
...
@@ -147,10 +146,10 @@ Section agree_map.
try
apply
Hxy
;
try
apply
Hf
;
eauto
using
@
agree_valid_le
.
Qed
.
End
agree_map
.
Lemma
agree_map_id
`
{
Cofe
A
}
(
x
:
agree
A
)
:
agree_map
id
x
=
x
.
Lemma
agree_map_id
{
A
}
(
x
:
agree
A
)
:
agree_map
id
x
=
x
.
Proof
.
by
destruct
x
.
Qed
.
Lemma
agree_map_compose
`
{
Cofe
A
,
Cofe
B
,
Cofe
C
}
(
f
:
A
→
B
)
(
g
:
B
→
C
)
(
x
:
agree
A
)
:
agree_map
(
g
∘
f
)
x
=
agree_map
g
(
agree_map
f
x
).
Lemma
agree_map_compose
{
A
B
C
}
(
f
:
A
→
B
)
(
g
:
B
→
C
)
(
x
:
agree
A
)
:
agree_map
(
g
∘
f
)
x
=
agree_map
g
(
agree_map
f
x
).
Proof
.
done
.
Qed
.
Canonical
Structure
agreeRA
(
A
:
cofeT
)
:
cmraT
:
=
CMRAT
(
agree
A
).
...
...
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