Theorems · Theorem · measure theory
MeasurableEquiv.map_symm
∀ {α : Type u_1} {β : Type u_2} {ma : MeasurableSpace α} {mb : MeasurableSpace β} {μ : MeasureTheory.Measure α}
(e : β ≃ᵐ α), MeasureTheory.Measure.map (⇑e.symm) μ = MeasureTheory.Measure.comap (⇑e) μ- Defined in
- Mathlib.MeasureTheory.Measure.Comap
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 203 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.
- DFunLike.coestatement and proof · cited by 62,936
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.Measure.mapstatement · cited by 858
- MeasurableEquivstatement and proof · cited by 269
- MeasurableEquiv.symmstatement and proof · cited by 155
- MeasureTheory.Measure.comapstatement and proof · cited by 96
- MeasurableEquiv.comap_symmproof · cited by 3
- MeasurableEquiv.symm_symmproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- MeasureTheory.mulEquivHaarChar_smul_eq_comapproof · cited by 0
- MeasureTheory.integral_comap_eq_addEquivAddHaarChar_smulproof · cited by 0
- MeasureTheory.integral_comap_eq_mulEquivHaarChar_smulproof · cited by 0
- MeasureTheory.addEquivAddHaarChar_smul_eq_comapproof · cited by 0