Theorems · Definition · measure theory
MulAction.aestabilizer
(G : Type u_1) →
{α : Type u_2} →
[inst : Group G] →
[inst_1 : MulAction G α] →
{x : MeasurableSpace α} →
(μ : MeasureTheory.Measure α) → [MeasureTheory.SMulInvariantMeasure G α μ] → Set α → Subgroup GA.e. stabilizer of a set under a group action.
- Defined in
- Mathlib.MeasureTheory.Group.AEStabilizer
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Groupstatement and proof · cited by 6,238
- Set.ofPredproof · cited by 6,101
- Subgroupstatement · cited by 3,593
- MeasureTheory.aeproof · cited by 2,352
- Filter.EventuallyEqproof · cited by 1,912
- MulActionstatement and proof · cited by 1,294
- MeasureTheory.SMulInvariantMeasurestatement and proof · cited by 115
Cited by12
Results whose statement or proof uses this declaration.
- MulAction.mem_aestabilizerstatement · cited by 3
- aeconst_of_dense_aestabilizer_smulstatement and proof · cited by 1
- ergodic_smul_of_denseRange_zpowproof · cited by 1
- MulAction.aestabilizer_congrstatement and proof · cited by 1
- MulAction.aestabilizer_emptystatement · cited by 1
- MulAction.aestabilizer_univstatement · cited by 1
- MulAction.aeconst_of_aestabilizer_eq_topstatement and proof · cited by 0
- MulAction.aestabilizer_of_aeconststatement · cited by 0
- ErgodicSMul.of_aestabilizerstatement and proof · cited by 0
- MulAction.aestabilizer.congr_simpstatement and proof · cited by 0
- MulAction.coe_aestabilizerstatement and proof · cited by 0
- MulAction.stabilizer_le_aestabilizerstatement · cited by 0