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Mathlib
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Algebra
.
Star
.
Conjneg
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Imports
Init
Mathlib.Algebra.Star.Conjneg
AddCombi.Mathlib.Algebra.Notation.Indicator
Imported by
conjneg_indicator_one
source
@[simp]
theorem
conjneg_indicator_one
{
G
:
Type
u_1}
{
R
:
Type
u_2}
[
CommSemiring
R
]
[
StarRing
R
]
[
AddCommGroup
G
]
(
s
:
Set
G
)
:
conjneg
(
s
.
indicator
fun (
x
:
G
) =>
1
)
=
(
-
s
).
indicator
fun (
x
:
G
) =>
1