Theorems · Theorem · measure theory
MeasurableSpace.map_comap_eq_of_surjective
∀ {α : Type u_1} {β : Type u_2} {m : MeasurableSpace α} {g : β → α},
Function.Surjective g → MeasurableSpace.map g (MeasurableSpace.comap g m) = m- Cited by
- 1 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- MeasurableSetproof · cited by 3,075
- le_antisymmproof · cited by 2,068
- MeasurableSpace.comapstatement · cited by 124
- MeasurableSpace.mapstatement · cited by 23
- MeasurableSpace.map_defproof · cited by 3
- MeasurableSpace.measurableSet_comapproof · cited by 2
- MeasurableSpace.le_map_comapproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- measurable_comap_iff_rightproof · cited by 0