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Imports
Init
Mathlib.Data.Complex.Basic
AddCombi.Mathlib.Algebra.GroupWithZero.Indicator
Imported by
Complex
.
ofReal_indicator_one
Complex
.
ofReal_comp_indicator_one
source
@[simp]
theorem
Complex
.
ofReal_indicator_one
{
α
:
Type
u_1}
(
s
:
Set
α
)
(
x
:
α
)
:
↑
(
s
.
indicator
(fun (
x
:
α
) =>
1
)
x
)
=
s
.
indicator
(fun (
x
:
α
) =>
1
)
x
source
@[simp]
theorem
Complex
.
ofReal_comp_indicator_one
{
α
:
Type
u_1}
(
s
:
Set
α
)
:
(
ofReal
∘
s
.
indicator
fun (
x
:
α
) =>
1
)
=
s
.
indicator
fun (
x
:
α
) =>
1