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Imports
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Carleson.ToMathlib.ENorm
Mathlib.Analysis.RCLike.Basic
Mathlib.MeasureTheory.Function.StronglyMeasurable.AEStronglyMeasurable
Imported by
RCLike
.
enorm_eq_enorm_embedRCLike
RCLike
.
aestronglyMeasurable_iff_aestronglyMeasurable_embedRCLike
source
theorem
RCLike
.
enorm_eq_enorm_embedRCLike
{
α
:
Type
u_1}
{
𝕂
:
Type
u_2}
[
RCLike
𝕂
]
{
f
:
α
→
NNReal
}
(
x
:
α
)
:
‖
(
⇑
(
algebraMap
ℝ
𝕂
)
∘
NNReal.toReal
∘
f
)
x
‖ₑ
=
‖
f
x
‖ₑ
source
theorem
RCLike
.
aestronglyMeasurable_iff_aestronglyMeasurable_embedRCLike
{
α
:
Type
u_1}
{
m
:
MeasurableSpace
α
}
{
μ
:
MeasureTheory.Measure
α
}
{
𝕂
:
Type
u_2}
[
RCLike
𝕂
]
{
f
:
α
→
NNReal
}
:
MeasureTheory.AEStronglyMeasurable
(
⇑
(
algebraMap
ℝ
𝕂
)
∘
NNReal.toReal
∘
f
)
μ
↔
MeasureTheory.AEStronglyMeasurable
f
μ