Theorems · Theorem · measure theory
MeasureTheory.StronglyMeasurable.prodMk
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {m : MeasurableSpace α} [inst : TopologicalSpace β]
[inst_1 : TopologicalSpace γ] {f : α → β} {g : α → γ},
MeasureTheory.StronglyMeasurable f →
MeasureTheory.StronglyMeasurable g → MeasureTheory.StronglyMeasurable fun x => (f x, g x)- Cited by
- 11 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.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- Filterproof · cited by 8,121
- Filter.Tendstoproof · cited by 3,814
- Filter.atTopproof · cited by 2,405
- MeasureTheory.StronglyMeasurablestatement and proof · cited by 363
- nhds_prod_eqproof · cited by 84
- MeasureTheory.StronglyMeasurable.approxproof · cited by 40
- MeasureTheory.StronglyMeasurable.tendsto_approxproof · cited by 36
- Filter.Tendsto.prodMkproof · cited by 35
- MeasureTheory.SimpleFunc.pairproof · cited by 16
Cited by11
Results whose statement or proof uses this declaration.
- MeasureTheory.AEStronglyMeasurable.prodMkproof · cited by 18
- MeasureTheory.StronglyMeasurable.measurableSet_leproof · cited by 9
- MeasureTheory.StronglyMeasurable.measurableSet_eq_funproof · cited by 3
- MeasureTheory.StronglyMeasurable.smulproof · cited by 3
- MeasureTheory.StronglyMeasurable.smul_constproof · cited by 3
- MeasureTheory.StronglyMeasurable.edistproof · cited by 3
- MeasureTheory.condExp_stronglyMeasurable_bilin_of_boundproof · cited by 3
- MeasureTheory.StronglyMeasurable.vaddproof · cited by 1
- MeasureTheory.StronglyMeasurable.distproof · cited by 0
- MeasureTheory.StronglyMeasurable.innerproof · cited by 0
- MeasureTheory.StronglyMeasurable.vadd_constproof · cited by 0