Theorems · Definition · measure theory
MeasureTheory.AEStronglyMeasurable.mk
{α : Type u_1} →
{β : Type u_2} →
[inst : TopologicalSpace β] →
{m m₀ : MeasurableSpace α} →
{μ : MeasureTheory.Measure α} → (f : α → β) → MeasureTheory.AEStronglyMeasurable f μ → α → βA StronglyMeasurable function such that f =ᵐ[μ] hf.mk f. See lemmas
stronglyMeasurable_mk and ae_eq_mk.
- Cited by
- 82 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- MeasureTheory.AEStronglyMeasurablestatement and proof · cited by 755
Cited by83
Results whose statement or proof uses this declaration.
- MeasureTheory.AEEqFun.castproof · cited by 380
- Continuous.comp_aestronglyMeasurableproof · cited by 77
- MeasureTheory.AEStronglyMeasurable.ae_eq_mkstatement · cited by 77
- MeasureTheory.AEStronglyMeasurable.aemeasurableproof · cited by 73
- MeasureTheory.AEStronglyMeasurable.stronglyMeasurable_mkstatement · cited by 71
- MeasureTheory.integral_mapproof · cited by 67
- MeasureTheory.AEStronglyMeasurable.subproof · cited by 21
- MeasureTheory.AEStronglyMeasurable.mulproof · cited by 19
- MeasureTheory.AEStronglyMeasurable.congrproof · cited by 19
- MeasureTheory.AEStronglyMeasurable.prodMkproof · cited by 18
- MeasureTheory.AEStronglyMeasurable.mono_measureproof · cited by 13
- MeasureTheory.AEStronglyMeasurable.addproof · cited by 12