Theorems · Theorem · measure theory
MeasureTheory.eventuallyConst_inv_set_ae
∀ {G : Type u_1} [inst : MeasurableSpace G] [inst_1 : Group G] [MeasurableMul₂ G] (μ : MeasureTheory.Measure G)
[MeasureTheory.SFinite μ] {s : Set G} [MeasurableInv G] [μ.IsMulLeftInvariant],
Filter.EventuallyConst s⁻¹ (MeasureTheory.ae μ) ↔ Filter.EventuallyConst s (MeasureTheory.ae μ)- Defined in
- Mathlib.MeasureTheory.Group.Prod
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 228 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
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
- Filterproof · cited by 8,121
- Groupstatement and proof · cited by 6,238
- MeasureTheory.aestatement and proof · cited by 2,352
- MeasureTheory.SFinitestatement and proof · cited by 449
- MeasurableMul₂statement and proof · cited by 139
- Set.invstatement · cited by 132
- MeasureTheory.Measure.IsMulLeftInvariantstatement and proof · cited by 118
- MeasurableInvstatement and proof · cited by 98
- Filter.EventuallyConststatement and proof · cited by 93
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