Theorems · Theorem · measure theory
MeasureTheory.SimpleFunc.measurableSet_cut
∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] (r : α → β → Prop) (f : MeasureTheory.SimpleFunc α β),
(∀ (b : β), MeasurableSet {a | r a b}) → MeasurableSet {a | r a (f a)}- Cited by
- 2 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
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 and proof · cited by 62,936
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- Set.ofPredstatement and proof · cited by 6,101
- Set.preimageproof · cited by 4,946
- Set.rangeproof · cited by 4,705
- MeasurableSetstatement and proof · cited by 3,075
- Set.iUnionproof · cited by 2,483
- Set.extproof · cited by 2,266
- MeasureTheory.SimpleFuncstatement and proof · cited by 411
- Set.iUnion_congr_Propproof · cited by 374
- MeasurableSet.interproof · cited by 167
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.SimpleFunc.measurableSet_preimageproof · cited by 13
- MeasureTheory.SimpleFunc.measurable_bindproof · cited by 3