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APAP
.
Mathlib
.
MeasureTheory
.
Function
.
LpSeminorm
.
Basic
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Imports
Init
APAP.Mathlib.Analysis.RCLike.Basic
Mathlib.MeasureTheory.Function.LpSeminorm.Basic
Imported by
MeasureTheory
.
eLpNorm_rclikeOfReal_comp
source
@[simp]
theorem
MeasureTheory
.
eLpNorm_rclikeOfReal_comp
{
α
:
Type
u_1}
{
𝕜
:
Type
u_2}
{
mα
:
MeasurableSpace
α
}
{
μ
:
Measure
α
}
[
RCLike
𝕜
]
(
p
:
ENNReal
)
(
f
:
α
→
ℝ
)
:
eLpNorm
(fun (
a
:
α
) =>
↑
(
f
a
)
)
p
μ
=
eLpNorm
f
p
μ