diff --git a/src/CwF/Structures.lagda.md b/src/CwF/Structures.lagda.md index 4badb7f..995c9fe 100644 --- a/src/CwF/Structures.lagda.md +++ b/src/CwF/Structures.lagda.md @@ -5,9 +5,9 @@ open import CwF.Base module CwF.Structures where ``` -This file defines several additional structures a CwF might have, such as Pi types, universes, sigma types, and identity types. +This file defines several additional structures a CwF might have, such as pi types, universes, sigma types, and identity types. -First are Pi types, because a type theory without them are pretty uninteresting. +First are pi types, because a type theory without them are pretty uninteresting. ``` record has-Pi {o h f : _} {𝓒 : Precategory o h} (cwf : is-CwF {o} {h} {f} 𝓒) : Type (lsuc (o ⊔ h ⊔ f)) where @@ -71,4 +71,4 @@ Lastly comes the star of the show, $\beta$ reduction. Cβ : {Γ : Ob} (A : ∣ Ty Γ ∣) (B : ∣ Ty (Γ ; A) ∣) (b : ∣ Tr (Γ ; A) B ∣) (a : ∣ Tr Γ A ∣) → app (Cλ A B b) a ≡ b [ ⟨id, a ⟩ ] -``` \ No newline at end of file +```