Theorems · Theorem · measure theory
Measurable.comap_le
∀ {α : Type u_1} {β : Type u_2} {m₁ : MeasurableSpace α} {m₂ : MeasurableSpace β} {f : α → β},
Measurable f → MeasurableSpace.comap f m₂ ≤ m₁Alias of the forward direction of measurable_iff_comap_le.
- Cited by
- 29 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- MeasurableSpace.comapstatement · cited by 124
- measurable_iff_comap_leproof · cited by 8
Cited by29
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.iIndepFun.indepFun_finsetproof · cited by 8
- MeasureTheory.toReal_rnDeriv_mapproof · cited by 5
- MeasurableEmbedding.comap_eqproof · cited by 4
- ProbabilityTheory.Kernel.IndepFun.process_indepFunproof · cited by 4
- MeasureTheory.toReal_rnDeriv_trimproof · cited by 3
- ProbabilityTheory.condExp_prod_ae_eq_integral_condDistrib'proof · cited by 3
- MeasureTheory.map_trim_comapstatement and proof · cited by 3
- ProbabilityTheory.condDistrib_ae_eq_condExpproof · cited by 2
- ProbabilityTheory.condIndepFun_iffproof · cited by 2
- InformationTheory.klDiv_map_leproof · cited by 2
- ProbabilityTheory.Kernel.iIndepFun.iIndepFun_processproof · cited by 2
- ProbabilityTheory.iCondIndepFun_iffproof · cited by 1