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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
Defined in
Mathlib.MeasureTheory.Function.StronglyMeasurable.AEStronglyMeasurable
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.

Continuous.comp_aestronglyMeasurable · cited by 77Continuous.comp_aestrongl…MeasureTheory.AEStronglyMeasurable.aemeasurable · cited by 73AEStronglyMeasurable.aeme…MeasureTheory.integral_map · cited by 67MeasureTheory.integral_mapMeasureTheory.AEStronglyMeasurable.sub · cited by 21AEStronglyMeasurable.subMeasureTheory.AEStronglyMeasurable.mul · cited by 19AEStronglyMeasurable.mulMeasureTheory.AEStronglyMeasurable.congr · cited by 19AEStronglyMeasurable.congrMeasureTheory.AEStronglyMeasurable.prodMk · cited by 18AEStronglyMeasurable.prod…MeasureTheory.AEStronglyMeasurable.mono_measure · cited by 13AEStronglyMeasurable.mono…MeasureTheory.AEStronglyMeasurable.add · cited by 12AEStronglyMeasurable.addMeasureTheory.AEStronglyMeasurable.neg · cited by 11AEStronglyMeasurable.negMeasureTheory.AEEqFun.mk_coeFn · cited by 11AEEqFun.mk_coeFnMeasureTheory.AEStronglyMeasurable.const_smul · cited by 11AEStronglyMeasurable.cons…MeasureTheory.condExp_ae_eq_condExpL1 · cited by 9MeasureTheory.condExp_ae_…aestronglyMeasurable_indicator_iff · cited by 8aestronglyMeasurable_indi…MeasureTheory.AEStronglyMeasurable.comp_aemeasurable · cited by 8AEStronglyMeasurable.comp…TopologicalSpace · cited by 24529TopologicalSpaceMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasureTheory.ae · cited by 2352MeasureTheory.aeFilter.EventuallyEq · cited by 1912Filter.EventuallyEqMeasureTheory.AEStronglyMeasurable · cited by 755MeasureTheory.AEStronglyM…MeasureTheory.AEStronglyMeasurable.mk · cited by 82AEStronglyMeasurable.mkAEStronglyMeasurable.ae_eq_mkCITED BYCITES

Cites7

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Cited by77

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