Theorems · Definition · Lie groups
MeasureTheory.Measure.inv
{G : Type u_1} → [inst : MeasurableSpace G] → [Inv G] → MeasureTheory.Measure G → MeasureTheory.Measure GThe measure A ↦ μ (A⁻¹), where A⁻¹ is the pointwise inverse of A.
- Defined in
- Mathlib.MeasureTheory.Group.Measure
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpaceInv
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.Measure.mapproof · cited by 858
Cited by17
Results whose statement or proof uses this declaration.
- MeasureTheory.absolutelyContinuous_invstatement · cited by 5
- MeasureTheory.inv_absolutelyContinuousstatement · cited by 4
- MeasureTheory.Measure.inv_applystatement · cited by 3
- MeasureTheory.Measure.inv_invstatement · cited by 3
- MeasureTheory.Measure.IsInvInvariant.inv_eq_selfstatement · cited by 2
- MeasureTheory.quasiMeasurePreserving_inv_of_right_invariantproof · cited by 1
- MeasureTheory.ae_measure_preimage_mul_right_lt_topproof · cited by 1
- MeasureTheory.Measure.inv_eq_selfstatement · cited by 1
- MeasureTheory.quasiMeasurePreserving_divproof · cited by 0
- MeasureTheory.quasiMeasurePreserving_div_left_of_right_invariantproof · cited by 0
- MeasureTheory.Measure.IsInvInvariant.casesOnstatement and proof · cited by 0