Theorems · Theorem · measure theory
measurable_pi_apply
∀ {δ : Type u_4} {X : δ → Type u_6} [inst : (a : δ) → MeasurableSpace (X a)] (a : δ), Measurable fun f => f a- Cited by
- 77 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
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
- measurable_idproof · cited by 89
- measurable_pi_iffproof · cited by 21
Cited by77
Results whose statement or proof uses this declaration.
- Finset.measurable_restrictproof · cited by 17
- Finset.measurable_restrict₂proof · cited by 14
- MeasurableSet.piproof · cited by 14
- ProbabilityTheory.Kernel.iIndepFun.indepFun_prodMkproof · cited by 7
- ProbabilityTheory.HasGaussianLaw.evalproof · cited by 6
- measurable_set_memproof · cited by 6
- ProbabilityTheory.Kernel.iIndepFun.indepFun_prodMk_prodMkproof · cited by 6
- ProbabilityTheory.IsPreBrownianReal.covariance_evalproof · cited by 5
- Measurable.evalproof · cited by 5
- Set.measurable_restrictproof · cited by 5
- ProbabilityTheory.Kernel.iIndepFun.indepFun_finsetProd_of_notMemproof · cited by 5
- ProbabilityTheory.Kernel.iIndepFun.indepFun_finsetSum_of_notMemproof · cited by 5