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Theorems · Definition · group theory

AddEquiv.piUnique

{ι : Type u_16} →
  (M : ι → Type u_17) → [inst : (j : ι) → Add (M j)] → [inst_1 : Unique ι] → ((j : ι) → M j) ≃+ M default

A family indexed by a type with a unique element is AddEquiv to the element at the single index.

Defined in
Mathlib.Algebra.Group.Equiv.Basic
Cited by
2 results in Mathlib
Foundations
Depth 11 from the axioms · uses Quot.sound
Assumes
AddUnique

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