Theorems · Theorem · measure theory
MeasureTheory.measure_inv_smul_union
∀ {G : Type u} {α : Type w} {m : MeasurableSpace α} [inst : Group G] [inst_1 : MulAction G α]
(μ : MeasureTheory.Measure α) [MeasureTheory.SMulInvariantMeasure G α μ] (c : G) (s t : Set α),
μ (c⁻¹ • s ∪ t) = μ (s ∪ c • t)- Defined in
- Mathlib.MeasureTheory.Group.Action
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · 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
- Groupstatement and proof · cited by 6,238
- MulActionstatement and proof · cited by 1,294
- Set.smulSetstatement · cited by 608
- inv_invproof · cited by 494
- MeasureTheory.SMulInvariantMeasurestatement and proof · cited by 115
- MeasureTheory.measure_union_inv_smulproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.