Theorems · Theorem · measure theory
MeasureTheory.StronglyMeasurable.mul
∀ {α : Type u_1} {β : Type u_2} {f g : α → β} {mα : MeasurableSpace α} [inst : TopologicalSpace β] [inst_1 : Mul β]
[ContinuousMul β],
MeasureTheory.StronglyMeasurable f → MeasureTheory.StronglyMeasurable g → MeasureTheory.StronglyMeasurable (f * g)- Cited by
- 9 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
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.StronglyMeasurablestatement and proof · cited by 363
- ContinuousMulstatement and proof · cited by 343
- Filter.Tendsto.mulproof · cited by 74
- MeasureTheory.StronglyMeasurable.approxproof · cited by 40
- MeasureTheory.StronglyMeasurable.tendsto_approxproof · cited by 36
Cited by9
Results whose statement or proof uses this declaration.
- MeasureTheory.AEStronglyMeasurable.mulproof · cited by 19
- Finset.stronglyMeasurable_prodproof · cited by 2
- MeasureTheory.IsStronglyProgressive.mulproof · cited by 2
- List.stronglyMeasurable_prodproof · cited by 2
- MeasureTheory.StronglyMeasurable.mul_iff_rightproof · cited by 1
- MeasureTheory.StronglyMeasurable.const_mulproof · cited by 0
- MeasureTheory.StronglyAdapted.mulproof · cited by 0
- MeasureTheory.StronglyMeasurable.mul_constproof · cited by 0
- MeasureTheory.StronglyMeasurable.fun_mulproof · cited by 0