Theorems · Theorem · measure theory
MeasurableEmbedding.iff_comap_eq
∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β] {f : α → β},
MeasurableEmbedding f ↔ Function.Injective f ∧ MeasurableSpace.comap f inst_1 = inst ∧ MeasurableSet (Set.range f)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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.imageproof · cited by 5,609
- Set.preimageproof · cited by 4,946
- Set.rangestatement and proof · cited by 4,705
- MeasurableSetstatement and proof · cited by 3,075
- Measurableproof · cited by 1,499
- MeasurableEmbeddingstatement and proof · cited by 170
- MeasurableSet.interproof · cited by 167
- MeasurableSpace.comapstatement and proof · cited by 124
- Set.image_preimage_eq_inter_rangeproof · cited by 121
- MeasurableEmbedding.injectiveproof · cited by 35
Cited by1
Results whose statement or proof uses this declaration.
- MeasurableEmbedding.prodMapproof · cited by 4