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.
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.
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.
MonoidAlgebra
.
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Imports
Init
Mathlib.Algebra.MonoidAlgebra.Basic
Imported by
MonoidAlgebra
.
domCongr_comp_lsingle
AddMonoidAlgebra
.
domCongr_comp_lsingle
source
@[simp]
theorem
MonoidAlgebra
.
domCongr_comp_lsingle
{
R
:
Type
u_1}
{
A
:
Type
u_2}
{
G
:
Type
u_3}
{
H
:
Type
u_4}
[
CommSemiring
R
]
[
Monoid
G
]
[
Monoid
H
]
[
Semiring
A
]
[
Algebra
R
A
]
(
e
:
G
≃*
H
)
(
g
:
G
)
:
(
domCongr
R
A
e
)
.
toLinearMap
∘ₗ
lsingle
g
=
lsingle
(
e
g
)
source
@[simp]
theorem
AddMonoidAlgebra
.
domCongr_comp_lsingle
{
R
:
Type
u_1}
{
A
:
Type
u_2}
{
G
:
Type
u_3}
{
H
:
Type
u_4}
[
CommSemiring
R
]
[
AddMonoid
G
]
[
AddMonoid
H
]
[
Semiring
A
]
[
Algebra
R
A
]
(
e
:
G
≃+
H
)
(
g
:
G
)
:
(
domCongr
R
A
e
)
.
toLinearMap
∘ₗ
lsingle
g
=
lsingle
(
e
g
)