-- The Agda primitives (preloaded).

module Agda.Primitive where

------------------------------------------------------------------------
-- Universe levels
------------------------------------------------------------------------

infixl 6 _⊔_

-- Level is the first thing we need to define.
-- The other postulates can only be checked if built-in Level is known.

postulate
  Level : Set

-- MAlonzo compiles Level to (). This should be safe, because it is
-- not possible to pattern match on levels.

{-# COMPILED_TYPE Level () #-}
{-# BUILTIN LEVEL Level    #-}

postulate
  lzero : Level
  lsuc  : (ℓ : Level) → Level
  _⊔_   : (ℓ₁ ℓ₂ : Level) → Level

{-# COMPILED lzero ()           #-}
{-# COMPILED lsuc  (\_ -> ())   #-}
{-# COMPILED _⊔_   (\_ _ -> ()) #-}

{-# BUILTIN LEVELZERO lzero #-}
{-# BUILTIN LEVELSUC  lsuc  #-}
{-# BUILTIN LEVELMAX  _⊔_   #-}