Theorems · Theorem · measure theory
MeasurableSet.map_coe_volume
∀ {α : Type u_2} [inst : MeasureTheory.MeasureSpace α] {s : Set α},
MeasurableSet s → MeasureTheory.Measure.map Subtype.val MeasureTheory.volume = MeasureTheory.volume.restrict s- Defined in
- Mathlib.MeasureTheory.Measure.Restrict
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasureTheory.MeasureSpace
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Set.Elemproof · cited by 7,166
- MeasurableSetstatement and proof · cited by 3,075
- MeasureTheory.Measure.restrictstatement and proof · cited by 1,646
- MeasureTheory.MeasureSpace.volumestatement and proof · cited by 1,323
- MeasureTheory.Measure.mapstatement and proof · cited by 858
- Subtype.range_coeproof · cited by 98
- MeasureTheory.MeasureSpacestatement and proof · cited by 51
- MeasurableEmbedding.subtype_coeproof · cited by 27
- MeasureTheory.Measure.Subtype.measureSpacestatement · cited by 10
- MeasurableEmbedding.map_comapproof · cited by 8
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