Mathlib Map

Theorems · Definition · logic and foundations

Equiv.uniqueSigma

{α : Type u_10} → (β : α → Type u_9) → [inst : Unique α] → (i : α) × β i ≃ β default

Any Unique type is a left identity for type sigma up to equivalence. Compare with uniqueProd which is non-dependent.

Defined in
Mathlib.Logic.Equiv.Prod
Cited by
7 results in Mathlib
Foundations
Depth 10 from the axioms · uses no axioms
Assumes
Unique

Around this declaration

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

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 by10

Results whose statement or proof uses this declaration.