Theorems · Theorem · measure theory
Topology.IsEmbedding.measurableEmbedding
∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [mα : MeasurableSpace α] [BorelSpace α]
[mβ : TopologicalSpace β] [inst_2 : MeasurableSpace β] [BorelSpace β] {f : α → β},
Topology.IsEmbedding f → MeasurableSet (Set.range f) → MeasurableEmbedding f- Cited by
- 3 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- Set.rangestatement and proof · cited by 4,705
- MeasurableSetstatement and proof · cited by 3,075
- BorelSpacestatement and proof · cited by 1,602
- Topology.IsEmbeddingstatement and proof · cited by 294
- MeasurableEmbeddingstatement and proof · cited by 170
- MeasurableEquiv.measurableEmbeddingproof · cited by 60
- Homeomorph.toMeasurableEquivproof · cited by 32
- MeasurableEmbedding.subtype_coeproof · cited by 27
- Topology.IsEmbedding.toHomeomorphproof · cited by 16
Cited by3
Results whose statement or proof uses this declaration.
- Topology.IsClosedEmbedding.measurableEmbeddingproof · cited by 16
- Topology.IsOpenEmbedding.measurableEmbeddingproof · cited by 5
- measurableEmbedding_sigmoidproof · cited by 1