Theorems · Inductive type · measure theory
MeasurableInv
(G : Type u_2) → [Inv G] → [MeasurableSpace G] → Prop
We say that a type has MeasurableInv if x ↦ x⁻¹ is a measurable function.
- Defined in
- Mathlib.MeasureTheory.Group.Arithmetic
- Cited by
- 98 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 3 definitions · uses no axioms
- Assumes
- InvMeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement · cited by 13,106
Cited by104
Results whose statement or proof uses this declaration.
- MeasurableInv.measurable_invstatement and proof · cited by 14
- Measurable.invstatement and proof · cited by 11
- Measurable.fun_invstatement · cited by 9
- MeasurableEquiv.invstatement and proof · cited by 9
- MeasureTheory.quasiMeasurePreserving_invstatement and proof · cited by 7
- MeasureTheory.absolutelyContinuous_invstatement and proof · cited by 5
- AEMeasurable.fun_invstatement · cited by 5
- AEMeasurable.invstatement and proof · cited by 5
- MeasureTheory.measure_mul_right_nullstatement and proof · cited by 4
- MeasureTheory.inv_absolutelyContinuousstatement and proof · cited by 4
- MeasureTheory.IntegrableOn.comp_invstatement and proof · cited by 4
- MeasureTheory.quasiMeasurePreserving_inv_mulstatement and proof · cited by 3