Theorems · Theorem · measure theory
MeasurableEmbedding.measurable_rangeSplitting
∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} [inst : MeasurableSpace β] {f : α → β},
MeasurableEmbedding f → Measurable (Set.rangeSplitting f)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 66 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.
Cites17
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.Elemstatement and proof · cited by 7,166
- Set.imageproof · cited by 5,609
- Set.rangestatement and proof · cited by 4,705
- MeasurableSetproof · cited by 3,075
- Measurablestatement · cited by 1,499
- MeasurableEmbeddingstatement and proof · cited by 170
- Set.image_compproof · cited by 142
- Set.rangeFactorizationproof · cited by 56
- MeasurableEmbedding.injectiveproof · cited by 35
- MeasurableEmbedding.subtype_coeproof · cited by 27
Cited by3
Results whose statement or proof uses this declaration.
- MeasurableEmbedding.aemeasurable_comp_iffproof · cited by 2
- MeasurableEmbedding.measurable_comp_iffproof · cited by 2
- MeasurableEmbedding.measurable_extendproof · cited by 1