Theorems · Theorem · measure theory
MeasurableSet.const_smul_of_ne_zero
∀ {G₀ : Type u_1} {α : Type u_2} [inst : GroupWithZero G₀] [inst_1 : MulAction G₀ α] [inst_2 : MeasurableSpace α]
[MeasurableConstSMul G₀ α] {s : Set α}, MeasurableSet s → ∀ {a : G₀}, a ≠ 0 → MeasurableSet (a • s)- Defined in
- Mathlib.MeasureTheory.Group.Pointwise
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 23 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.
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasurableSetstatement and proof · cited by 3,075
- MulActionstatement and proof · cited by 1,294
- GroupWithZerostatement and proof · cited by 691
- Set.smulSetstatement · cited by 608
- MeasurableConstSMulstatement and proof · cited by 92
- MeasurableConstSMul.measurable_const_smulproof · cited by 12
- Set.preimage_smul_inv₀proof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- MeasurableSet.const_smul₀proof · cited by 1
- MeasureTheory.Measure.NullMeasurableSet.const_smulproof · cited by 0