Documentation
LeanPool
.
PFR
.
AddCombi
.
Mathlib
.
Algebra
.
Star
.
Pi
Search
return to top
source
Imports
Init
Mathlib.Algebra.Star.Pi
LeanPool.PFR.AddCombi.Mathlib.Algebra.Notation.Indicator
Imported by
Set
.
conj_indicator_one_apply
Star operations on indicator functions
#
source
@[simp]
theorem
Set
.
conj_indicator_one_apply
{
α
:
Type
u_1}
{
R
:
Type
u_2}
[
CommSemiring
R
]
[
StarRing
R
]
(
s
:
Set
α
)
(
a
:
α
)
:
(
starRingEnd
R
)
(
s
.
indicator
(fun (
x
:
α
) =>
1
)
a
)
=
s
.
indicator
(fun (
x
:
α
) =>
1
)
a