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Theorems · Theorem · measure theory

MeasureTheory.StronglyMeasurable.inf

∀ {α : Type u_1} {β : Type u_2} {f g : α → β} [inst : MeasurableSpace α] [inst_1 : TopologicalSpace β] [inst_2 : Min β]
  [ContinuousInf β],
  MeasureTheory.StronglyMeasurable f → MeasureTheory.StronglyMeasurable g → MeasureTheory.StronglyMeasurable (f ⊓ g)
Defined in
Mathlib.MeasureTheory.Function.StronglyMeasurable.Basic
Cited by
2 results in Mathlib
Foundations
Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpaceTopologicalSpaceMinContinuousInf
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MeasureTheory.AEStronglyMeasurable.inf · cited by 2AEStronglyMeasurable.infMeasureTheory.StronglyMeasurable.fun_inf · cited by 0StronglyMeasurable.fun_infTopologicalSpace · cited by 24529TopologicalSpaceMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.StronglyMeasurable · cited by 363MeasureTheory.StronglyMea…ContinuousInf · cited by 50ContinuousInfMeasureTheory.StronglyMeasurable.approx · cited by 40StronglyMeasurable.approxMeasureTheory.StronglyMeasurable.tendsto_approx · cited by 36StronglyMeasurable.tendst…Filter.Tendsto.inf_nhds · cited by 2Tendsto.inf_nhdsStronglyMeasurable.infCITED BYCITES

Cites7

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

Cited by2

Results whose statement or proof uses this declaration.