Theorems · Theorem · measure theory
MeasureTheory.Integrable.comp_inv
∀ {G : Type u_4} {F : Type u_6} [inst : MeasurableSpace G] [inst_1 : NormedAddCommGroup F] {μ : MeasureTheory.Measure G}
[inst_2 : Group G] [MeasurableInv G] [μ.IsInvInvariant] {f : G → F},
MeasureTheory.Integrable f μ → MeasureTheory.Integrable (fun t => f t⁻¹) μ- Defined in
- Mathlib.MeasureTheory.Group.Integral
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 211 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Groupstatement and proof · cited by 6,238
- MeasureTheory.Integrablestatement and proof · cited by 1,367
- Eq.leproof · cited by 605
- MeasurableInvstatement and proof · cited by 98
- MeasureTheory.Integrable.mono_measureproof · cited by 26
- MeasureTheory.Measure.IsInvInvariantstatement and proof · cited by 24
- MeasureTheory.Integrable.comp_measurableproof · cited by 14
- MeasurableInv.measurable_invproof · cited by 14
- MeasureTheory.Measure.map_inv_eq_selfproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.integrable_comp_div_leftproof · cited by 0