Theorems · Theorem · measure theory
IsAddFoelner.mean_univ_eq_zero
∀ {G : Type u_1} {X : Type u_2} [inst : MeasurableSpace X] {μ : MeasureTheory.Measure X} [inst_1 : AddGroup G]
[inst_2 : AddAction G X] {ι : Type u_3} {u : Ultrafilter ι} {F : ι → Set X},
IsAddFoelner G μ (↑u) F → IsAddFoelner.mean μ u F Set.univ = 1- Cited by
- 1 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.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · 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
- Top.topproof · cited by 9,680
- AddGroupstatement and proof · cited by 4,410
- Set.univstatement and proof · cited by 3,945
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- AddActionstatement and proof · cited by 820
- tendsto_const_nhdsproof · cited by 330
Cited by1
Results whose statement or proof uses this declaration.
- IsAddFoelner.amenableproof · cited by 1