Theorems · Theorem · measure theory
MeasurableSpace.comap_le_iff_le_map
∀ {α : Type u_1} {β : Type u_2} {m : MeasurableSpace α} {m' : MeasurableSpace β} {f : α → β},
MeasurableSpace.comap f m' ≤ m ↔ m' ≤ MeasurableSpace.map f m- Cited by
- 10 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.comapstatement and proof · cited by 124
- MeasurableSpace.mapstatement and proof · cited by 23
Cited by10
Results whose statement or proof uses this declaration.
- MeasurableSpace.gc_comap_mapproof · cited by 10
- Measurable.prodproof · cited by 9
- MeasureTheory.Measure.measurable_of_measurable_coeproof · cited by 9
- measurable_iff_comap_leproof · cited by 8
- MeasurableSpace.comap_generateFromproof · cited by 7
- measurable_fun_sumproof · cited by 2
- MeasureTheory.measurableSet_prodMk_add_one_of_predictableproof · cited by 1
- prod_le_borel_prodproof · cited by 1
- MeasureTheory.measurable_inclusion_predictableproof · cited by 1
- pi_le_borel_piproof · cited by 0