Theorems · Theorem · measure theory
MeasurableSpace.measurableSet_comap
∀ {α : Type u_1} {β : Type u_2} {s : Set α} {f : α → β} {m : MeasurableSpace β},
MeasurableSet s ↔ ∃ s', MeasurableSet s' ∧ f ⁻¹' s' = s- Cited by
- 2 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Classical.choice, 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.comapstatement · cited by 124
Cited by2
Results whose statement or proof uses this declaration.
- MeasurableSpace.map_comap_eq_of_surjectiveproof · cited by 1
- measurableSet_finset_iffproof · cited by 0