Theorems · Theorem · measure theory

MeasureTheory.IsAddFundamentalDomain.measure_addFundamentalFrontier

∀ {G : Type u_1} {α : Type u_3} [Countable G] [inst : AddGroup G] [inst_1 : AddAction G α] [inst_2 : MeasurableSpace α]
  {μ : MeasureTheory.Measure α} {s : Set α},
  MeasureTheory.IsAddFundamentalDomain G s μ → μ (MeasureTheory.addFundamentalFrontier G s) = 0

Defined in: Mathlib.MeasureTheory.Group.FundamentalDomain
Cited by: 1 results in Mathlib
Foundations: Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Countable AddGroup AddAction MeasurableSpace

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Cites18

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

DFunLike.coestatement and proof · cited by 62,936
Setstatement and proof · cited by 53,352
MeasurableSpacestatement and proof · cited by 13,106
MeasureTheory.Measurestatement and proof · cited by 10,939
ENNRealstatement · cited by 9,879
AddGroupstatement and proof · cited by 4,410
Set.iUnionproof · cited by 2,483
HVAdd.hVAddproof · cited by 1,820
AddActionstatement and proof · cited by 820
Countablestatement and proof · cited by 633
Set.inter_commproof · cited by 291
zero_vaddproof · cited by 95

Cited by1

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MeasureTheory.IsAddFundamentalDomain.measure_addFundamentalInteriorproof · cited by 0