diff --git a/src/Cat/Category.agda b/src/Cat/Category.agda index 50f21cd..69c4aa8 100644 --- a/src/Cat/Category.agda +++ b/src/Cat/Category.agda @@ -65,17 +65,17 @@ record RawCategory (ℓa ℓb : Level) : Set (lsuc (ℓa ⊔ ℓb)) where Monomorphism : {X : Object} → (f : Arrow A B) → Set ℓb Monomorphism {X} f = ( g₀ g₁ : Arrow X A ) → f ∘ g₀ ≡ f ∘ g₁ → g₀ ≡ g₁ - IsInitial : Object → Set (ℓa ⊔ ℓb) - IsInitial I = {X : Object} → isContr (Arrow I X) + IsInitial : Object → Set (ℓa ⊔ ℓb) + IsInitial I = {X : Object} → isContr (Arrow I X) IsTerminal : Object → Set (ℓa ⊔ ℓb) IsTerminal T = {X : Object} → isContr (Arrow X T) - Initial : Set (ℓa ⊔ ℓb) - Initial = Σ (Object) IsInitial + Initial : Set (ℓa ⊔ ℓb) + Initial = Σ Object IsInitial Terminal : Set (ℓa ⊔ ℓb) - Terminal = Σ (Object) IsTerminal + Terminal = Σ Object IsTerminal -- Univalence is indexed by a raw category as well as an identity proof. module Univalence {ℓa ℓb : Level} (ℂ : RawCategory ℓa ℓb) where