28 lines
489 B
Agda
28 lines
489 B
Agda
|
|
{-# OPTIONS --safe --without-K #-}
|
|||
|
|
|
|||
|
|
module MLTT.Universes where
|
|||
|
|
|
|||
|
|
open import Agda.Primitive public
|
|||
|
|
using (_⊔_)
|
|||
|
|
renaming (lzero to 𝓤₀
|
|||
|
|
; lsuc to _⁺
|
|||
|
|
; Level to Universe
|
|||
|
|
; Setω to 𝓤ω
|
|||
|
|
)
|
|||
|
|
|
|||
|
|
variable
|
|||
|
|
𝓤 𝓥 𝓦 𝓣 𝓤' 𝓥' 𝓦' 𝓣' : Universe
|
|||
|
|
|
|||
|
|
|
|||
|
|
_̇ : (𝓤 : Universe) → Set (𝓤 ⁺)
|
|||
|
|
𝓤 ̇ = Set 𝓤
|
|||
|
|
|
|||
|
|
𝓤₁ = 𝓤₀ ⁺
|
|||
|
|
𝓤₂ = 𝓤₁ ⁺
|
|||
|
|
|
|||
|
|
_⁺⁺ : Universe → Universe
|
|||
|
|
𝓤 ⁺⁺ = 𝓤 ⁺ ⁺
|
|||
|
|
|
|||
|
|
infix 1 _̇
|
|||
|
|
|