Theorems · Definition · measure theory
MeasurableSpace.map
{α : Type u_1} → {β : Type u_2} → (α → β) → MeasurableSpace α → MeasurableSpace βThe forward image of a measurable space under a function. map f m contains the sets
s : Set β whose preimage under f is measurable.
- Cited by
- 23 results in Mathlib
- Foundations
- Depth 11 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.
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- Set.preimageproof · cited by 4,946
- MeasurableSetproof · cited by 3,075
- MeasurableSpace.measurableSet_emptyproof · cited by 5
Cited by23
Results whose statement or proof uses this declaration.
- MeasurableSpace.comap_le_iff_le_mapstatement and proof · cited by 10
- MeasurableSpace.gc_comap_mapstatement · cited by 10
- Measurable.of_le_mapstatement · cited by 6
- Measurable.map_measurableSpace_eqstatement · cited by 3
- measurable_iff_le_mapstatement · cited by 3
- MeasurableSpace.map_compstatement · cited by 3
- MeasurableSpace.map_defstatement · cited by 3
- MeasurableSpace.le_map_comapstatement · cited by 2
- Measurable.le_mapstatement · cited by 1
- Continuous.map_eq_borelstatement · cited by 1
- Measurable.map_measurableSpace_eq_borelstatement · cited by 1
- MeasurableSpace.map_comap_eq_of_surjectivestatement · cited by 1