Theorems · Theorem · measure theory
MeasurableSpace.map_def
∀ {α : Type u_1} {β : Type u_2} {m : MeasurableSpace α} {f : α → β} {s : Set β},
MeasurableSet s ↔ MeasurableSet (f ⁻¹' s)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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 · cited by 4,946
- MeasurableSetstatement · cited by 3,075
- MeasurableSpace.mapstatement · cited by 23
Cited by3
Results whose statement or proof uses this declaration.
- MeasurableSpace.map_comap_eq_of_surjectiveproof · cited by 1
- MeasureTheory.measurableSet_prodMk_add_one_of_predictableproof · cited by 1
- MeasurableSpace.map_constproof · cited by 0