Theorems · Theorem · measure theory
MeasureTheory.Measure.measurable_of_measurable_coe
∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} (f : β → MeasureTheory.Measure α),
(∀ (s : Set α), MeasurableSet s → Measurable fun b => (f b) s) → Measurable f- Defined in
- Mathlib.MeasureTheory.Measure.GiryMonad
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- MeasurableSetstatement and proof · cited by 3,075
- Measurablestatement and proof · cited by 1,499
- iSup₂_leproof · cited by 96
- borelproof · cited by 57
- MeasurableSpace.comap_le_iff_le_mapproof · cited by 10
- Measurable.of_le_mapproof · cited by 6
- MeasurableSpace.map_compproof · cited by 3
Cited by9
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.measurable_diracproof · cited by 3
- MeasureTheory.Measure.measurable_mapproof · cited by 3
- MeasureTheory.Measure.measurable_measureproof · cited by 3
- Measurable.map_prodMk_leftproof · cited by 2
- Measurable.smul_measureproof · cited by 2
- MeasureTheory.Measure.measurable_joinproof · cited by 1
- ProbabilityTheory.Kernel.measurable_singularPartproof · cited by 0
- ProbabilityTheory.Kernel.measurable_trajFunproof · cited by 0
- Measurable.map_prodMk_rightproof · cited by 0