index

⚠️ This module is not part of this project and is only included for reference.
It is either part of the 1lab, the cubical library, or a built-in Agda module.

```agda
module Prim.Type where
```

# Primitives: Sorts

This module defines bindings for the primitive sorts in Agda. These are
_very magic_ symbols since they bootstrap everything about the type
system. For more details about the use of universes, see
[`1Lab.Type`](1Lab.Type.html).

```agda
{-# BUILTIN TYPE     Type  #-}
{-# BUILTIN SETOMEGA Typeω #-}

{-# BUILTIN PROP      Prop  #-}
{-# BUILTIN PROPOMEGA Propω #-}

{-# BUILTIN STRICTSET      SSet  #-}
{-# BUILTIN STRICTSETOMEGA SSetω #-}
```

Additionally, we have the `Level` type, of _universe levels_. The
universe levels are an algebra containing 0, closed under successor and
maximum. The difference between this and e.g. the natural numbers is
that `Level` isn't _initial_, i.e. you can't pattern-match on it.

```agda
postulate
  Level : Type
  lzero : Level
  lsuc  : Level  Level
  _⊔_   : Level  Level  Level
infixl 6 _⊔_

{-# BUILTIN LEVELUNIV LevelUniv #-}
{-# BUILTIN LEVEL Level #-}
{-# BUILTIN LEVELZERO lzero #-}
{-# BUILTIN LEVELSUC lsuc #-}
{-# BUILTIN LEVELMAX _⊔_ #-}
```