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Imports
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Mathlib.Data.NNReal.Defs
AddCombi.Mathlib.Algebra.GroupWithZero.Indicator
Imported by
NNReal
.
coe_indicator_one
NNReal
.
coe_comp_indicator_one
source
@[simp]
theorem
NNReal
.
coe_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
NNReal
.
coe_comp_indicator_one
{
α
:
Type
u_1}
(
s
:
Set
α
)
:
(
toReal
∘
s
.
indicator
fun (
x
:
α
) =>
1
)
=
s
.
indicator
fun (
x
:
α
) =>
1