Theorems · Theorem · measure theory
measurable_to_countable
∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] [Countable α] [inst_2 : MeasurableSpace β] {f : β → α},
(∀ (y : β), MeasurableSet (f ⁻¹' {f y})) → Measurable f- Cited by
- 6 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Set.rangeproof · cited by 4,705
- MeasurableSetstatement and proof · cited by 3,075
- Measurablestatement · cited by 1,499
- Countablestatement and proof · cited by 633
- MeasurableSet.iUnionproof · cited by 81
- Set.biUnion_preimage_singletonproof · cited by 10
- Set.preimage_singleton_eq_emptyproof · cited by 5
Cited by6
Results whose statement or proof uses this declaration.
- measurable_to_countable'proof · cited by 4
- measurable_to_natproof · cited by 2
- Int.measurable_ceilproof · cited by 1
- Int.measurable_floorproof · cited by 1
- Nat.measurable_ceilproof · cited by 1
- Nat.measurable_floorproof · cited by 1