Theorems · Theorem · measure theory
MeasureTheory.tendsto_smul_ae
∀ {G : Type u} {α : Type w} {m : MeasurableSpace α} [inst : SMul G α] (μ : MeasureTheory.Measure α)
[MeasureTheory.SMulInvariantMeasure G α μ] (c : G),
Filter.Tendsto (fun x => c • x) (MeasureTheory.ae μ) (MeasureTheory.ae μ)See also smul_ae.
- Defined in
- Mathlib.MeasureTheory.Group.Action
- 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Filter.Tendstostatement · cited by 3,814
- Compl.complproof · cited by 2,925
- MeasureTheory.aestatement and proof · cited by 2,352
- MeasureTheory.SMulInvariantMeasurestatement and proof · cited by 115
- eq_bot_monoproof · cited by 17
- MeasureTheory.measure_preimage_smul_leproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.aeconst_of_forall_preimage_smul_ae_eqproof · cited by 2
- MeasureTheory.measure_preimage_smul_of_nullMeasurableSetproof · cited by 0