Mathlib Map

Theorems · Theorem · measure theory

MeasureTheory.fundamentalFrontier_union_fundamentalInterior

∀ (G : Type u_1) {α : Type u_3} [inst : Group G] [inst_1 : MulAction G α] (s : Set α),
  MeasureTheory.fundamentalFrontier G s ∪ MeasureTheory.fundamentalInterior G s = s
Defined in
Mathlib.MeasureTheory.Group.FundamentalDomain
Cited by
1 results in Mathlib
Foundations
Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
GroupMulAction
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MeasureTheory.IsFundamentalDomain.fundamentalInterior · cited by 0IsFundamentalDomain.funda…Set · cited by 53352SetGroup · cited by 6238GroupSet.iUnion · cited by 2483Set.iUnionMulAction · cited by 1294MulActionSet.inter_union_sdiff · cited by 23Set.inter_union_sdiffMeasureTheory.fundamentalInterior · cited by 12MeasureTheory.fundamental…MeasureTheory.fundamentalFrontier · cited by 11MeasureTheory.fundamental…MeasureTheory.fundamentalFron…CITED BYCITES

Cites7

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

Cited by1

Results whose statement or proof uses this declaration.