Theorems · Theorem · measure theory
MeasureTheory.IsAddFundamentalDomain.iUnion_vadd_ae_eq
∀ {G : Type u_1} {α : Type u_3} [inst : AddGroup G] [inst_1 : AddAction G α] [inst_2 : MeasurableSpace α] {s : Set α}
{μ : MeasureTheory.Measure α}, MeasureTheory.IsAddFundamentalDomain G s μ → ⋃ g, g +ᵥ s =ᵐ[μ] Set.univ- Cited by
- 2 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- AddGroupstatement and proof · cited by 4,410
- Set.univstatement · cited by 3,945
- Set.iUnionstatement · cited by 2,483
- iSupproof · cited by 2,415
- MeasureTheory.aestatement · cited by 2,352
- Filter.EventuallyEqstatement · cited by 1,912
- HVAdd.hVAddstatement and proof · cited by 1,820
- AddActionstatement and proof · cited by 820
- Filter.Eventually.monoproof · cited by 646
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.IsAddFundamentalDomain.sum_restrict_of_acproof · cited by 4
- MeasureTheory.IsAddFundamentalDomain.measure_ne_zeroproof · cited by 2