Theorems · Theorem · measure theory
MeasureTheory.NullMeasurableSet.vadd
∀ {G : Type u} {α : Type w} {m : MeasurableSpace α} [inst : AddGroup G] [inst_1 : AddAction G α]
{μ : MeasureTheory.Measure α} [MeasureTheory.VAddInvariantMeasure G α μ] [MeasurableConstVAdd G α] {s : Set α},
MeasureTheory.NullMeasurableSet s μ → ∀ (c : G), MeasureTheory.NullMeasurableSet (c +ᵥ s) μ- Defined in
- Mathlib.MeasureTheory.Group.Action
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- HVAdd.hVAddstatement · cited by 1,820
- AddActionstatement and proof · cited by 820
- Set.vaddSetstatement · cited by 403
- MeasureTheory.NullMeasurableSetstatement and proof · cited by 337
- MeasureTheory.VAddInvariantMeasurestatement and proof · cited by 114
- MeasurableConstVAddstatement and proof · cited by 81
- MeasureTheory.MeasurePreserving.quasiMeasurePreservingproof · cited by 41
- MeasureTheory.NullMeasurableSet.preimageproof · cited by 21
Cited by5
Results whose statement or proof uses this declaration.
- MeasureTheory.IsAddFundamentalDomain.nullMeasurableSet_vaddproof · cited by 3
- MeasureTheory.exists_pair_mem_lattice_not_disjoint_vaddproof · cited by 1
- MeasureTheory.IsAddFundamentalDomain.measure_le_of_pairwise_disjointproof · cited by 1
- MeasureTheory.NullMeasurableSet.addFundamentalFrontierproof · cited by 0
- MeasureTheory.NullMeasurableSet.addFundamentalInteriorproof · cited by 0