Theorems · Theorem · measure theory

MeasureTheory.IsAddFundamentalDomain.measure_addFundamentalInterior

∀ {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.addFundamentalInterior G s) = μ s

Defined in: Mathlib.MeasureTheory.Group.FundamentalDomain
Cited by: 0 results in Mathlib
Foundations: Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Countable AddGroup AddAction MeasurableSpace

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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
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
AddActionstatement and proof · cited by 820
Countablestatement and proof · cited by 633
MeasureTheory.IsAddFundamentalDomainstatement and proof · cited by 88
MeasureTheory.addFundamentalInteriorstatement · cited by 11
MeasureTheory.measure_sdiff_null'proof · cited by 5
MeasureTheory.IsAddFundamentalDomain.measure_addFundamentalFrontierproof · cited by 1

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