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Jonas Kastberg
iris
Commits
206fa666
Commit
206fa666
authored
Dec 03, 2018
by
Robbert Krebbers
Browse files
Prove `agree_map f (to_agree x) = to_agree (f x)`.
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theories/algebra/agree.v
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theories/algebra/agree.v
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206fa666
...
@@ -255,6 +255,9 @@ Proof. apply agree_eq. by rewrite /= list_fmap_id. Qed.
...
@@ -255,6 +255,9 @@ Proof. apply agree_eq. by rewrite /= list_fmap_id. Qed.
Lemma
agree_map_compose
{
A
B
C
}
(
f
:
A
→
B
)
(
g
:
B
→
C
)
(
x
:
agree
A
)
:
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
).
agree_map
(
g
∘
f
)
x
=
agree_map
g
(
agree_map
f
x
).
Proof
.
apply
agree_eq
.
by
rewrite
/=
list_fmap_compose
.
Qed
.
Proof
.
apply
agree_eq
.
by
rewrite
/=
list_fmap_compose
.
Qed
.
Lemma
agree_map_to_agree
{
A
B
}
(
f
:
A
→
B
)
(
x
:
A
)
:
agree_map
f
(
to_agree
x
)
=
to_agree
(
f
x
).
Proof
.
by
apply
agree_eq
.
Qed
.
Section
agree_map
.
Section
agree_map
.
Context
{
A
B
:
ofeT
}
(
f
:
A
→
B
)
`
{
Hf
:
NonExpansive
f
}.
Context
{
A
B
:
ofeT
}
(
f
:
A
→
B
)
`
{
Hf
:
NonExpansive
f
}.
...
...
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