Theorems · Theorem · measure theory
MeasurableSet.const_smul
∀ {G : Type u_1} {α : Type u_2} [inst : Group G] [inst_1 : MulAction G α] [inst_2 : MeasurableSpace α]
[MeasurableConstSMul G α] {s : Set α}, MeasurableSet s → ∀ (a : G), MeasurableSet (a • s)- Defined in
- Mathlib.MeasureTheory.Group.Pointwise
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, 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.
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- Groupstatement and proof · cited by 6,238
- MeasurableSetstatement and proof · cited by 3,075
- MulActionstatement and proof · cited by 1,294
- Set.smulSetstatement · cited by 608
- MeasurableConstSMulstatement and proof · cited by 92
- MeasurableConstSMul.measurable_const_smulproof · cited by 12
- Set.preimage_smul_invproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.QuotientMeasureEqMeasurePreimage.sigmaFiniteQuotientproof · cited by 1
- MeasureTheory.Subgroup.index_mul_measureproof · cited by 0