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Imports
Init
Imported by
Option
.
mapD
Option
.
mapD_some
Option
.
mapD_none
Additional Option functions and lemmas
#
source
def
Option
.
mapD
{
α
:
Type
u_1}
{
β
:
Sort
u_2}
(
f
:
α
→
β
)
(
default
:
β
)
:
Option
α
→
β
Equations
Option.mapD
f
default
(
some
a
)
=
f
a
Option.mapD
f
default
none
=
default
Instances For
source
@[simp]
theorem
Option
.
mapD_some
{
α
:
Type
u_1}
{
β
:
Sort
u_2}
(
f
:
α
→
β
)
(
default
:
β
)
(
a
:
α
)
:
mapD
f
default
(
some
a
)
=
f
a
source
@[simp]
theorem
Option
.
mapD_none
{
α
:
Type
u_1}
{
β
:
Sort
u_2}
(
f
:
α
→
β
)
(
default
:
β
)
:
mapD
f
default
none
=
default