Theorems · Theorem · measure theory
MeasureTheory.measurable_resolvent
∀ {𝕜 : Type u_1} {A : Type u_2} [inst : NontriviallyNormedField 𝕜] [inst_1 : MeasurableSpace 𝕜] {a : A}
[OpensMeasurableSpace 𝕜] [inst_3 : NormedRing A] [inst_4 : NormedAlgebra 𝕜 A] [CompleteSpace A]
[inst_6 : MeasurableSpace A] [BorelSpace A], Measurable (resolvent a)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpaceproof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Set.Elemproof · cited by 7,166
- MeasurableSetproof · cited by 3,075
- Compl.complproof · cited by 2,925
- Continuousproof · cited by 2,592
- CompleteSpacestatement and proof · cited by 2,532
- BorelSpacestatement and proof · cited by 1,602
- Measurablestatement and proof · cited by 1,499
- ContinuousOnproof · cited by 1,411
- NormedAlgebrastatement and proof · cited by 1,165
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.hasDerivAt_resolventTransformproof · cited by 1
- MeasureTheory.integrable_resolventproof · cited by 1