Theorems · Theorem · measure theory
StronglyMeasurable.apply_continuousLinearMap
∀ {α : Type u_1} {𝕜 : Type u_4} [inst : NontriviallyNormedField 𝕜] {E : Type u_5} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {F : Type u_6} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F]
{_m : MeasurableSpace α} {φ : α → F →L[𝕜] E},
MeasureTheory.StronglyMeasurable φ → ∀ (v : F), MeasureTheory.StronglyMeasurable fun a => (φ a) v- Cited by
- 1 results in Mathlib
- Foundations
- Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHom.idstatement and proof · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ContinuousLinearMapstatement and proof · cited by 5,352
- MeasureTheory.StronglyMeasurablestatement and proof · cited by 363
- ContinuousLinearMap.continuousproof · cited by 124
- ContinuousLinearMap.applyproof · cited by 23
- Continuous.comp_stronglyMeasurableproof · cited by 18
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.StronglyMeasurable.setToFun_prod_rightproof · cited by 1