Theorems · Theorem · measure theory

MeasureTheory.AEFinStronglyMeasurable.measurableSet

∀ {α : Type u_1} {β : Type u_2} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} [inst : TopologicalSpace β]
  {f : α → β} [inst_1 : Zero β] [inst_2 : T2Space β] (hf : MeasureTheory.AEFinStronglyMeasurable f μ),
  MeasurableSet hf.sigmaFiniteSet

Defined in: Mathlib.MeasureTheory.Function.StronglyMeasurable.AEStronglyMeasurable
Cited by: 3 results in Mathlib
Foundations: Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace Zero T2Space

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Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

TopologicalSpacestatement and proof · cited by 24,529
MeasurableSpacestatement and proof · cited by 13,106
MeasureTheory.Measurestatement and proof · cited by 10,939
MeasurableSetstatement · cited by 3,075
T2Spacestatement and proof · cited by 1,351
MeasureTheory.AEFinStronglyMeasurablestatement and proof · cited by 27
MeasureTheory.AEFinStronglyMeasurable.sigmaFiniteSetstatement · cited by 5
MeasureTheory.AEFinStronglyMeasurable.exists_set_sigmaFiniteproof · cited by 3

Cited by3

Results whose statement or proof uses this declaration.

MeasureTheory.AEFinStronglyMeasurable.ae_eq_zero_of_forall_setIntegral_eq_zeroproof · cited by 3
MeasureTheory.AEMeasurable.ae_eq_of_forall_setLIntegral_eqproof · cited by 2
MeasureTheory.AEFinStronglyMeasurable.ae_nonneg_of_forall_setIntegral_nonnegproof · cited by 0