Theorems · Theorem · measure theory
measurable_fderiv_apply_const_with_param
∀ (𝕜 : Type u_1) [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] [LocallyCompactSpace E] {F : Type u_3} [inst_4 : NormedAddCommGroup F]
[inst_5 : NormedSpace 𝕜 F] {α : Type u_4} [inst_6 : TopologicalSpace α] {f : α → E → F} [inst_7 : MeasurableSpace α]
[OpensMeasurableSpace α] [inst_9 : MeasurableSpace E] [OpensMeasurableSpace E] [CompleteSpace F]
[inst_12 : MeasurableSpace F] [BorelSpace F],
Continuous (Function.uncurry f) → ∀ (y : E), Measurable fun p => (fderiv 𝕜 (f p.1) p.2) y- Cited by
- 1 results in Mathlib
- Foundations
- Depth 185 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- RingHom.idstatement · 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 · cited by 5,352
- Continuousstatement and proof · cited by 2,592
- CompleteSpacestatement and proof · cited by 2,532
- BorelSpacestatement and proof · cited by 1,602
- Measurablestatement · cited by 1,499
Cited by1
Results whose statement or proof uses this declaration.
- measurable_deriv_with_paramproof · cited by 4