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Theorems · Definition · measure theory

MeasurableEquiv.ofUniqueOfUnique

(α : Type u_6) →
  (β : Type u_7) → [inst : MeasurableSpace α] → [inst_1 : MeasurableSpace β] → [Unique α] → [Unique β] → α ≃ᵐ β

Any two types with unique elements are measurably equivalent.

Defined in
Mathlib.MeasureTheory.MeasurableSpace.Embedding
Cited by
2 results in Mathlib
Foundations
Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpaceMeasurableSpaceUniqueUnique
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MeasureTheory.measurePreserving_pi_empty · cited by 1MeasureTheory.measurePres…MeasureTheory.volume_preserving_pi_empty · cited by 0MeasureTheory.volume_pres…MeasurableSpace · cited by 13106MeasurableSpaceEquiv · cited by 8337EquivUnique · cited by 400UniqueMeasurableEquiv · cited by 269MeasurableEquivEquiv.ofUnique · cited by 5Equiv.ofUniqueMeasurableEquiv.ofUniqueOfUni…CITED BYCITES

Cites5

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Cited by2

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