Theorems · Theorem · measure theory
MeasureTheory.AEStronglyMeasurable.measurable_mk
∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace β] {m m₀ : MeasurableSpace α} {μ : MeasureTheory.Measure α}
{f : α → β} [TopologicalSpace.PseudoMetrizableSpace β] [inst_2 : MeasurableSpace β] [BorelSpace β]
(hf : MeasureTheory.AEStronglyMeasurable f μ), Measurable (MeasureTheory.AEStronglyMeasurable.mk f hf)- Cited by
- 4 results in Mathlib
- Foundations
- Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- BorelSpacestatement and proof · cited by 1,602
- Measurablestatement · cited by 1,499
- MeasureTheory.AEStronglyMeasurablestatement and proof · cited by 755
- TopologicalSpace.PseudoMetrizableSpacestatement and proof · cited by 245
- MeasureTheory.AEStronglyMeasurable.mkstatement · cited by 82
- MeasureTheory.StronglyMeasurable.measurableproof · cited by 74
- MeasureTheory.AEStronglyMeasurable.stronglyMeasurable_mkproof · cited by 71
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.SignedMeasure.eq_singularPartproof · cited by 3
- MeasureTheory.MemLp.exists_simpleFunc_eLpNorm_sub_ltproof · cited by 2
- MeasureTheory.SignedMeasure.eq_rnDerivproof · cited by 0