Theorems · Theorem · measure theory

MeasureTheory.IsAddFundamentalDomain.ae_covers

∀ {G : Type u_1} {α : Type u_2} [inst : Zero G] [inst_1 : VAdd G α] [inst_2 : MeasurableSpace α] {s : Set α}
  {μ : autoParam (MeasureTheory.Measure α) MeasureTheory.IsAddFundamentalDomain._auto_1},
  MeasureTheory.IsAddFundamentalDomain G s μ → ∀ᵐ (x : α) ∂μ, ∃ g, g +ᵥ x ∈ s

Defined in: Mathlib.MeasureTheory.Group.FundamentalDomain
Cited by: 3 results in Mathlib
Foundations: Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Zero VAdd MeasurableSpace

Mathlib docs Source Loogle LeanSearch

Around this declaration

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

Cites8

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

Setstatement and proof · cited by 53,352
MeasurableSpacestatement and proof · cited by 13,106
MeasureTheory.Measurestatement and proof · cited by 10,939
Filter.Eventuallystatement · cited by 3,134
MeasureTheory.aestatement · cited by 2,352
HVAdd.hVAddstatement · cited by 1,820
VAddstatement and proof · cited by 616
MeasureTheory.IsAddFundamentalDomainstatement and proof · cited by 88

Cited by3

Results whose statement or proof uses this declaration.

MeasureTheory.IsAddFundamentalDomain.iUnion_vadd_ae_eqproof · cited by 2
MeasureTheory.IsAddFundamentalDomain.preimage_of_equivproof · cited by 1
MeasureTheory.IsAddFundamentalDomain.monoproof · cited by 0