Theorems · Theorem · general topology
MeasureTheory.exists_measurableEmbedding_real
∀ (α : Type u_1) [inst : MeasurableSpace α] [StandardBorelSpace α], ∃ f, MeasurableEmbedding f
Any standard Borel space embeds measurably into the reals.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 181 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
- Setproof · cited by 53,352
- Realstatement and proof · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- Set.Elemproof · cited by 7,166
- MeasurableSetproof · cited by 3,075
- StandardBorelSpacestatement and proof · cited by 304
- MeasurableEquivproof · cited by 269
- MeasurableEmbeddingstatement · cited by 170
- MeasurableEquiv.measurableEmbeddingproof · cited by 60
- MeasurableEmbedding.subtype_coeproof · cited by 27
- MeasurableEmbedding.compproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.embeddingRealproof · cited by 10
- MeasureTheory.measurableEmbedding_embeddingRealproof · cited by 7