Theorems · Definition · measure theory
MeasurableEquiv.piUnique
{δ' : Type u_5} →
(π : δ' → Type u_6) → [inst : (x : δ') → MeasurableSpace (π x)] → [inst_1 : Unique δ'] → ((i : δ') → π i) ≃ᵐ π defaultThe measurable equivalence (∀ i, π i) ≃ᵐ π ⋆ when the domain of π only contains ⋆
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpaceUnique
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Uniquestatement and proof · cited by 400
- MeasurableEquivstatement · cited by 269
- Equiv.piUniqueproof · cited by 4
Cited by9
Results whose statement or proof uses this declaration.
- MeasurableEquiv.funUniqueproof · cited by 10
- MeasureTheory.lmarginal_singletonproof · cited by 5
- MeasureTheory.measurePreserving_piUniquestatement and proof · cited by 3
- ProbabilityTheory.Kernel.trajMeasureproof · cited by 2
- MeasurableEquiv.piOptionEquivProdproof · cited by 1
- MeasurableEquiv.piUnique_applystatement and proof · cited by 0
- MeasurableEquiv.piUnique_symm_applystatement and proof · cited by 0
- MeasureTheory.volume_preserving_piUniquestatement · cited by 0