Theorems · Theorem · measure theory
MeasurableEmbedding.measurableSet_range
∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} [inst : MeasurableSpace β] {f : α → β},
MeasurableEmbedding f → MeasurableSet (Set.range f)- Cited by
- 11 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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.rangestatement · cited by 4,705
- MeasurableSetstatement and proof · cited by 3,075
- Set.image_univproof · cited by 322
- MeasurableSet.univproof · cited by 178
- MeasurableEmbeddingstatement and proof · cited by 170
- MeasurableEmbedding.measurableSet_image'proof · cited by 15
Cited by11
Results whose statement or proof uses this declaration.
- MeasurableEmbedding.comap_applyproof · cited by 20
- MeasurableEmbedding.map_applyproof · cited by 16
- MeasurableEmbedding.prodMapproof · cited by 4
- MeasurableEmbedding.variation_mapproof · cited by 3
- MeasurableEmbedding.measurable_rangeSplittingproof · cited by 3
- MeasurableEmbedding.comap_preimageproof · cited by 1
- MeasurableEmbedding.measurable_extendproof · cited by 1
- MeasurableEmbedding.measurable_invFunproof · cited by 1
- MeasurableEmbedding.iff_comap_eqproof · cited by 1
- UpperHalfPlane.volume_eq_lintegralproof · cited by 0