Theorems · Definition · measure theory
MeasurableEquiv.ofInvolutive
{α : Type u_1} → [inst : MeasurableSpace α] → (f : α → α) → Function.Involutive f → Measurable f → α ≃ᵐ αConvert a measurable involutive function f to a measurable permutation with
toFun = invFun = f. See also Function.Involutive.toPerm.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses Quot.sound
- Assumes
- MeasurableSpace
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
- Measurablestatement and proof · cited by 1,499
- MeasurableEquivstatement · cited by 269
- Function.Involutivestatement and proof · cited by 103
- Function.Involutive.toPermproof · cited by 16
Cited by4
Results whose statement or proof uses this declaration.
- MeasurableSpace.comap_complproof · cited by 1
- MeasurableEquiv.ofInvolutive_applystatement · cited by 0
- MeasurableEquiv.ofInvolutive_symmstatement · cited by 0
- MeasurableEquiv.ofInvolutive_toEquivstatement and proof · cited by 0