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 defaultA 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
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivproof · cited by 8,337
- AddEquivstatement · cited by 1,087
- Uniquestatement and proof · cited by 400
- Equiv.piUniqueproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- AddEquiv.piUnique_applystatement and proof · cited by 0
- AddEquiv.piUnique_symm_applystatement and proof · cited by 0