Theorems · Theorem · measure theory
MeasurableEmbedding.map_injective
∀ {α : Type u_1} {β : Type u_2} {m0 : MeasurableSpace α} {m1 : MeasurableSpace β} {f : α → β},
MeasurableEmbedding f → Function.Injective (MeasureTheory.Measure.map f)- Defined in
- Mathlib.MeasureTheory.Measure.Map
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 201 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.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealproof · cited by 9,879
- Set.imageproof · cited by 5,609
- Set.preimageproof · cited by 4,946
- MeasurableSetproof · cited by 3,075
- MeasureTheory.Measure.mapstatement and proof · cited by 858
- DFunLikeproof · cited by 576
- MeasureTheory.Measure.extproof · cited by 308
- MeasurableEmbeddingstatement and proof · cited by 170
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.poissonMeasure_conv_poissonMeasureproof · cited by 2