Theorems · Theorem · measure theory
MeasureTheory.AEStronglyMeasurable.ae_eq_mk
∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace β] {m m₀ : MeasurableSpace α} {μ : MeasureTheory.Measure α}
{f : α → β} (hf : MeasureTheory.AEStronglyMeasurable f μ), f =ᵐ[μ] MeasureTheory.AEStronglyMeasurable.mk f hf- Cited by
- 77 results in Mathlib
- Foundations
- Depth 173 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.
Cites7
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.aestatement · cited by 2,352
- Filter.EventuallyEqstatement · cited by 1,912
- MeasureTheory.AEStronglyMeasurablestatement and proof · cited by 755
- MeasureTheory.AEStronglyMeasurable.mkstatement · cited by 82
Cited by77
Results whose statement or proof uses this declaration.
- Continuous.comp_aestronglyMeasurableproof · cited by 77
- MeasureTheory.AEStronglyMeasurable.aemeasurableproof · cited by 73
- 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
- MeasureTheory.AEStronglyMeasurable.negproof · cited by 11
- MeasureTheory.AEEqFun.mk_coeFnproof · cited by 11
- MeasureTheory.AEStronglyMeasurable.const_smulproof · cited by 11