Mathlib Map

Theorems · Definition

Equiv.ofUnique

(α : Sort u) → (β : Sort v) → [Unique α] → [Unique β] → α ≃ β

If both α and β have a unique element, then α ≃ β.

Defined in
Mathlib.Logic.Equiv.Defs
Cited by
5 results in Mathlib
Foundations
Depth 10 from the axioms · uses no axioms
Assumes
UniqueUnique

Around this declaration

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Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

  • Equivstatement · cited by 8,337
  • Uniquestatement and proof · cited by 400

Cited by19

Results whose statement or proof uses this declaration.