Theorems · Theorem · measure theory
MeasurableEquiv.map_map_symm
∀ {α : Type u_1} {β : Type u_2} {x : MeasurableSpace α} [inst : MeasurableSpace β] {ν : MeasureTheory.Measure β}
(e : α ≃ᵐ β), MeasureTheory.Measure.map (⇑e) (MeasureTheory.Measure.map (⇑e.symm) ν) = ν- Defined in
- Mathlib.MeasureTheory.Measure.Map
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.Measure.mapstatement and proof · cited by 858
- MeasurableEquivstatement and proof · cited by 269
- MeasurableEquiv.symmstatement and proof · cited by 155
- MeasureTheory.Measure.map_mapproof · cited by 67
- MeasurableEquiv.measurableproof · cited by 57
- MeasureTheory.Measure.map_idproof · cited by 29
- MeasurableEquiv.self_comp_symmproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.measurePreserving_piUniqueproof · cited by 3
- MeasurableEquiv.map_apply_eq_iff_map_symm_apply_eqproof · cited by 3
- MeasureTheory.Measure.compProd_assoc'proof · cited by 0