Theorems · Theorem · measure theory
measurable_generateFrom
∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] {s : Set (Set β)} {f : α → β},
(∀ t ∈ s, MeasurableSet (f ⁻¹' t)) → Measurable f- Cited by
- 6 results in Mathlib
- Foundations
- Depth 63 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- Set.preimagestatement and proof · cited by 4,946
- MeasurableSetstatement and proof · cited by 3,075
- Measurablestatement · cited by 1,499
- MeasurableSpace.generateFromstatement · cited by 172
- MeasurableSpace.generateFrom_leproof · cited by 49
- Measurable.of_le_mapproof · cited by 6
Cited by6
Results whose statement or proof uses this declaration.
- measurable_of_Ioiproof · cited by 4
- measurable_of_isOpenproof · cited by 3
- Measurable.isLUBproof · cited by 3
- measurable_of_Iioproof · cited by 2
- MeasurableSpace.measurableEquiv_nat_bool_of_countablyGeneratedproof · cited by 1
- MeasureTheory.NullMeasurable.aemeasurableproof · cited by 1