Theorems · Theorem · measure theory
MeasureTheory.Measure.IsAddRightInvariant.map_add_right_eq_self
∀ {G : Type u_1} {inst : MeasurableSpace G} {inst_1 : Add G} {μ : MeasureTheory.Measure G}
[self : μ.IsAddRightInvariant] (g : G), MeasureTheory.Measure.map (fun x => x + g) μ = μ- Defined in
- Mathlib.MeasureTheory.Group.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.mapstatement · cited by 858
- MeasureTheory.Measure.IsAddRightInvariantstatement and proof · cited by 59
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.map_add_right_eq_selfproof · cited by 10
- MeasureTheory.forall_measure_preimage_add_right_iffproof · cited by 1
- MeasureTheory.Measure.IsAddRightInvariant.comapproof · cited by 0