Theorems · Theorem · measure theory
ENat.measurable_iff
∀ {α : Type u_6} [inst : MeasurableSpace α] {f : α → ℕ∞}, Measurable f ↔ ∀ (n : ℕ), MeasurableSet (f ⁻¹' {↑n})- Cited by
- 1 results in Mathlib
- Foundations
- Depth 71 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.
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- Top.topproof · cited by 9,680
- ENatstatement and proof · cited by 4,985
- Set.preimagestatement and proof · cited by 4,946
- MeasurableSetstatement and proof · cited by 3,075
- Compl.complproof · cited by 2,925
- Measurablestatement and proof · cited by 1,499
- MeasurableSet.complproof · cited by 172
- MeasurableSet.iUnionproof · cited by 81
- ENat.recTopCoeproof · cited by 75
- MeasurableSingletonClass.measurableSet_singletonproof · cited by 53
Cited by1
Results whose statement or proof uses this declaration.
- measurable_encardproof · cited by 1