Theorems · Theorem · measure theory
MeasureTheory.SimpleFunc.measurable_bind
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace γ]
(f : MeasureTheory.SimpleFunc α β) (g : β → α → γ), (∀ (b : β), Measurable (g b)) → Measurable fun a => g (f a) a- Cited by
- 3 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasurableSetproof · cited by 3,075
- Measurablestatement and proof · cited by 1,499
- MeasureTheory.SimpleFuncstatement and proof · cited by 411
- MeasureTheory.SimpleFunc.measurableSet_cutproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.SimpleFunc.tendsto_approxOn_Lp_eLpNormproof · cited by 3
- Measurable.add_simpleFuncproof · cited by 1
- Measurable.simpleFunc_addproof · cited by 1