# Unique existence ```agda module foundation.unique-existence where ``` <details><summary>Imports</summary> ```agda open import foundation.universe-levels open import foundation-core.torsorial-type-families ``` </details> ## Idea Unique existence `∃! A B` is defined as `Σ A B` being contractible. ## Definition ```agda ∃! : {l1 l2 : Level} → (A : UU l1) → (A → UU l2) → UU (l1 ⊔ l2) ∃! A B = is-torsorial B ```