Theorems · Theorem · measure theory
MeasureTheory.Measure.measurable_coe
∀ {α : Type u_1} {mα : MeasurableSpace α} {s : Set α}, MeasurableSet s → Measurable fun μ => μ s- Defined in
- Mathlib.MeasureTheory.Measure.GiryMonad
- Cited by
- 14 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement · cited by 10,939
- ENNRealstatement · cited by 9,879
- MeasurableSetstatement and proof · cited by 3,075
- le_rflproof · cited by 1,558
- Measurablestatement · cited by 1,499
- le_iSup_of_leproof · cited by 79
- Measurable.of_comap_leproof · cited by 10
Cited by14
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.measurable_coeproof · cited by 44
- MeasureTheory.Measure.bind_applyproof · cited by 21
- MeasureTheory.Measure.measurable_lintegralproof · cited by 3
- MeasureTheory.Measure.measurable_mapproof · cited by 3
- MeasureTheory.Measure.measurable_measureproof · cited by 3
- MeasureTheory.Measure.lintegral_joinproof · cited by 2
- MeasureTheory.Measure.bind_bindproof · cited by 2
- MeasureTheory.Measure.le_ae_joinproof · cited by 1
- MeasureTheory.Measure.measurable_joinproof · cited by 1
- MeasureTheory.Measure.join_map_mapproof · cited by 0
- MeasureTheory.ProbabilityMeasure.measurableSet_isProbabilityMeasureproof · cited by 0
- MeasureTheory.ProbabilityMeasure.measurable_fun_prodproof · cited by 0