Theorems · Definition · measure theory
MeasureTheory.covolume
(G : Type u_6) →
(α : Type u_7) →
[One G] →
[SMul G α] →
[inst : MeasurableSpace α] → autoParam (MeasureTheory.Measure α) MeasureTheory.covolume._auto_1 → ENNRealThe covolume of an action of G on α the volume of some fundamental domain, or 0 if
none exists.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 170 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- OneSMulMeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- MeasureTheory.HasFundamentalDomainproof · cited by 12
- MeasureTheory.HasFundamentalDomain.ExistsIsFundamentalDomainproof · cited by 6
Cited by5
Results whose statement or proof uses this declaration.
- MeasureTheory.IsFundamentalDomain.covolume_eq_volumestatement · cited by 4
- MeasureTheory.QuotientMeasureEqMeasurePreimage.covolume_ne_topstatement · cited by 1
- MeasureTheory.QuotientMeasureEqMeasurePreimage.isFiniteMeasure_quotientstatement and proof · cited by 0
- MeasureTheory.QuotientMeasureEqMeasurePreimage.haarMeasure_quotientproof · cited by 0
- MeasureTheory.leftInvariantIsQuotientMeasureEqMeasurePreimagestatement and proof · cited by 0