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Cosmetics

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Frederik Hanghøj Iversen 2018-02-21 12:59:31 +01:00
parent edf552cb86
commit ed40824edc
1 changed files with 5 additions and 5 deletions
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src/Cat/Category.agda
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@ -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 : Object} → (f : Arrow A B) → Set ℓb
Monomorphism {X} f = ( g₀ g₁ : Arrow X A ) → f ∘ g₀ ≡ f ∘ g₁ → g₀ ≡ g₁ Monomorphism {X} f = ( g₀ g₁ : Arrow X A ) → f ∘ g₀ ≡ f ∘ g₁ → g₀ ≡ g₁
IsInitial : Object → Set (ℓa ⊔ ℓb) IsInitial : Object → Set (ℓa ⊔ ℓb)
IsInitial I = {X : Object} → isContr (Arrow I X) IsInitial I = {X : Object} → isContr (Arrow I X)
IsTerminal : Object → Set (ℓa ⊔ ℓb) IsTerminal : Object → Set (ℓa ⊔ ℓb)
IsTerminal T = {X : Object} → isContr (Arrow X T) IsTerminal T = {X : Object} → isContr (Arrow X T)
Initial : Set (ℓa ⊔ ℓb) Initial : Set (ℓa ⊔ ℓb)
Initial = Σ (Object) IsInitial Initial = Σ Object IsInitial
Terminal : Set (ℓa ⊔ ℓb) 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. -- Univalence is indexed by a raw category as well as an identity proof.
module Univalence {ℓa ℓb : Level} (ℂ : RawCategory ℓa ℓb) where module Univalence {ℓa ℓb : Level} (ℂ : RawCategory ℓa ℓb) where