Theorems · Theorem · measure theory
MeasureTheory.Measure.volume_subtype_coe_le_volume
∀ {δ : Type u_4} {u : Set δ} [inst : MeasureTheory.MeasureSpace δ],
MeasureTheory.NullMeasurableSet u MeasureTheory.volume →
∀ (t : Set ↑u), MeasureTheory.volume (Subtype.val '' t) ≤ MeasureTheory.volume t- Defined in
- Mathlib.MeasureTheory.Measure.Restrict
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 193 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasureTheory.MeasureSpace
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Cites11
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
- MeasureTheory.Measurestatement · cited by 10,939
- ENNRealstatement · cited by 9,879
- Set.Elemstatement and proof · cited by 7,166
- Set.imagestatement · cited by 5,609
- MeasureTheory.MeasureSpace.volumestatement and proof · cited by 1,323
- MeasureTheory.NullMeasurableSetstatement and proof · cited by 337
- MeasureTheory.MeasureSpacestatement and proof · cited by 51
- MeasureTheory.Measure.Subtype.measureSpacestatement · cited by 10
- MeasureTheory.Measure.measure_subtype_coe_le_comapproof · cited by 2
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