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MeasureTheory
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Measure
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AbsolutelyContinuous
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Mathlib.MeasureTheory.Measure.AbsolutelyContinuous
LeanMachineLearning.ForMathlib.MeasureTheory.OuterMeasure.Basic
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MeasureTheory
.
Measure
.
absolutelyContinuous_of_measure_singleton_ne_zero
Lemma about measures that assign non-zero probability to every singleton.
#
source
theorem
MeasureTheory
.
Measure
.
absolutelyContinuous_of_measure_singleton_ne_zero
{
α
:
Type
u_1}
{
mα
:
MeasurableSpace
α
}
{
μ
ν
:
Measure
α
}
(
h
:
∀ (
a
:
α
),
ν
{
a
}
≠
0
)
:
μ
.
AbsolutelyContinuous
ν