pyrites/agda-experiments/MLTT/Universes.agda

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2026-01-12 15:22:32 +00:00
{-# 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