Theorems · Theorem · measure theory
Continuous.comp_stronglyMeasurable
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {x : MeasurableSpace α} [inst : TopologicalSpace β]
[inst_1 : TopologicalSpace γ] {g : β → γ} {f : α → β},
Continuous g → MeasureTheory.StronglyMeasurable f → MeasureTheory.StronglyMeasurable fun x => g (f x)- Cited by
- 18 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Continuousstatement and proof · cited by 2,592
- Filter.Tendsto.compproof · cited by 560
- MeasureTheory.StronglyMeasurablestatement and proof · cited by 363
- Continuous.tendstoproof · cited by 206
- MeasureTheory.SimpleFunc.mapproof · cited by 54
- MeasureTheory.StronglyMeasurable.approxproof · cited by 40
- MeasureTheory.StronglyMeasurable.tendsto_approxproof · cited by 36
Cited by18
Results whose statement or proof uses this declaration.
- Continuous.comp_aestronglyMeasurableproof · cited by 77
- MeasureTheory.StronglyMeasurable.enormproof · cited by 19
- stronglyMeasurable_iff_measurable_separableproof · cited by 13
- MeasureTheory.StronglyMeasurable.nnnormproof · cited by 7
- MeasureTheory.StronglyMeasurable.normproof · cited by 7
- MeasureTheory.StronglyMeasurable.edistproof · cited by 3
- MeasureTheory.condExp_stronglyMeasurable_bilin_of_boundproof · cited by 3
- MeasureTheory.StronglyMeasurable.smulproof · cited by 3
- MeasureTheory.StronglyMeasurable.smul_constproof · cited by 3
- MeasureTheory.StronglyMeasurable.vaddproof · cited by 1
- StronglyMeasurable.apply_continuousLinearMapproof · cited by 1
- MeasureTheory.StronglyMeasurable.distproof · cited by 0