Theorems · Theorem · measure theory
MeasurableEmbedding.measurable
∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β] {f : α → β},
MeasurableEmbedding f → Measurable fA measurable embedding is a measurable function.
- Cited by
- 29 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- Measurablestatement · cited by 1,499
- MeasurableEmbeddingstatement and proof · cited by 170
Cited by29
Results whose statement or proof uses this declaration.
- MeasurableEmbedding.measurableSet_imageproof · cited by 18
- MeasurableEmbedding.map_applyproof · cited by 16
- MeasurableEmbedding.integral_mapproof · cited by 15
- MeasurableEmbedding.lintegral_mapproof · cited by 10
- MeasurableEmbedding.map_comapproof · cited by 8
- MeasurableEmbedding.restrict_mapproof · cited by 7
- MeasurableEmbedding.compproof · cited by 7
- MeasurableEmbedding.aestronglyMeasurable_map_iffproof · cited by 4
- MeasurableEmbedding.comap_eqproof · cited by 4
- MeasurableEmbedding.integral_map_vectorMeasureproof · cited by 3
- ProbabilityTheory.eq_condKernel_of_measure_eq_compProdproof · cited by 3
- MeasurableEmbedding.aemeasurable_map_iffproof · cited by 3