Theorems · Definition · measure theory
MeasurableEquiv.symm
{α : Type u_1} → {β : Type u_2} → [inst : MeasurableSpace α] → [inst_1 : MeasurableSpace β] → α ≃ᵐ β → β ≃ᵐ αThe inverse of an equivalence between measurable spaces.
- Cited by
- 155 results in Mathlib
- Foundations
- Depth 22 from the axioms, rests on 77 definitions · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Equivproof · cited by 8,337
- Equiv.symmproof · cited by 3,681
- MeasurableEquivstatement and proof · cited by 269
- MeasurableEquiv.toEquivproof · cited by 37
- MeasurableEquiv.measurable_invFunproof · cited by 0
Cited by167
Results whose statement or proof uses this declaration.
- MeasureTheory.MeasurePreserving.symmstatement and proof · cited by 43
- ProbabilityTheory.Kernel.compProd_applyproof · cited by 31
- ProbabilityTheory.BrownianReal.projectiveFamilyproof · cited by 19
- ProbabilityTheory.Kernel.compProd_of_not_isSFiniteKernel_leftproof · cited by 12
- MeasurableEquiv.map_measurableEquiv_injectiveproof · cited by 12
- MeasurableEquiv.symm_comp_selfstatement · cited by 11
- ProbabilityTheory.Kernel.compProd_of_not_isSFiniteKernel_rightproof · cited by 8
- UnitAddTorus.measurableEquivPiIocproof · cited by 7
- PiLp.volume_preserving_toLpproof · cited by 5
- ProbabilityTheory.Kernel.compProd_defstatement and proof · cited by 5
- MeasureTheory.lmarginal_singletonproof · cited by 5
- Submodule.measurableEquivProdproof · cited by 5