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Adam
stdpp
Commits
ec5b6bd8
Commit
ec5b6bd8
authored
4 years ago
by
Robbert Krebbers
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Remove old FIXME.
parent
2973e41b
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theories/gmap.v
+2
-4
2 additions, 4 deletions
theories/gmap.v
with
2 additions
and
4 deletions
theories/gmap.v
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2
−
4
View file @
ec5b6bd8
...
@@ -157,10 +157,8 @@ Definition gmap_uncurry `{Countable K1, Countable K2} {A} :
...
@@ -157,10 +157,8 @@ Definition gmap_uncurry `{Countable K1, Countable K2} {A} :
Section
curry_uncurry
.
Section
curry_uncurry
.
Context
`{
Countable
K1
,
Countable
K2
}
{
A
:
Type
}
.
Context
`{
Countable
K1
,
Countable
K2
}
{
A
:
Type
}
.
(* FIXME: the type annotations `option (gmap K2 A)` are silly. Maybe these are
a consequence of Coq bug #5735 *)
Lemma
lookup_gmap_curry
(
m
:
gmap
K1
(
gmap
K2
A
))
i
j
:
Lemma
lookup_gmap_curry
(
m
:
gmap
K1
(
gmap
K2
A
))
i
j
:
gmap_curry
m
!!
(
i
,
j
)
=
(
m
!!
i
:
option
(
gmap
K2
A
))
≫=
(.
!!
j
)
.
gmap_curry
m
!!
(
i
,
j
)
=
m
!!
i
≫=
(.
!!
j
)
.
Proof
.
Proof
.
apply
(
map_fold_ind
(
λ
mr
m
,
mr
!!
(
i
,
j
)
=
m
!!
i
≫=
(.
!!
j
)))
.
apply
(
map_fold_ind
(
λ
mr
m
,
mr
!!
(
i
,
j
)
=
m
!!
i
≫=
(.
!!
j
)))
.
{
by
rewrite
!
lookup_empty
.
}
{
by
rewrite
!
lookup_empty
.
}
...
@@ -177,7 +175,7 @@ Section curry_uncurry.
...
@@ -177,7 +175,7 @@ Section curry_uncurry.
Qed
.
Qed
.
Lemma
lookup_gmap_uncurry
(
m
:
gmap
(
K1
*
K2
)
A
)
i
j
:
Lemma
lookup_gmap_uncurry
(
m
:
gmap
(
K1
*
K2
)
A
)
i
j
:
(
gmap_uncurry
m
!!
i
:
option
(
gmap
K2
A
))
≫=
(.
!!
j
)
=
m
!!
(
i
,
j
)
.
gmap_uncurry
m
!!
i
≫=
(.
!!
j
)
=
m
!!
(
i
,
j
)
.
Proof
.
Proof
.
apply
(
map_fold_ind
(
λ
mr
m
,
mr
!!
i
≫=
(.
!!
j
)
=
m
!!
(
i
,
j
)))
.
apply
(
map_fold_ind
(
λ
mr
m
,
mr
!!
i
≫=
(.
!!
j
)
=
m
!!
(
i
,
j
)))
.
{
by
rewrite
!
lookup_empty
.
}
{
by
rewrite
!
lookup_empty
.
}
...
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