Theorems · Theorem · measure theory
MeasureTheory.volume_preserving_piFinsetUnion
∀ {ι : Type u_4} [inst : DecidableEq ι] (α : ι → Type u_5) {s t : Finset ι} (h : Disjoint s t)
[inst_1 : (i : ι) → MeasureTheory.MeasureSpace (α i)] [∀ (i : ι), MeasureTheory.SigmaFinite MeasureTheory.volume],
MeasureTheory.MeasurePreserving (⇑(MeasurableEquiv.piFinsetUnion α h)) MeasureTheory.volume MeasureTheory.volume- Defined in
- Mathlib.MeasureTheory.Constructions.Pi
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 233 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- Finsetstatement and proof · cited by 13,712
- Disjointstatement and proof · cited by 2,201
- MeasureTheory.MeasureSpace.volumestatement and proof · cited by 1,323
- MeasureTheory.SigmaFinitestatement and proof · cited by 526
- MeasurableEquivstatement · cited by 269
- MeasureTheory.MeasurePreservingstatement · cited by 259
- MeasureTheory.MeasureSpacestatement and proof · cited by 51
- MeasurableEquiv.piFinsetUnionstatement · cited by 3
- MeasureTheory.measurePreserving_piFinsetUnionproof · cited by 2
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