/- Copyright (c) 2023 Kyle Miller. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Kyle Miller, Alex Keizer -/ module prelude public import Lean.Expr public section /-! # `ToLevel` class This module defines `Lean.ToLevel`, which is the `Lean.Level` analogue to `Lean.ToExpr`. -/ namespace Lean /-- A class to create `Level` expressions that denote particular universe levels in Lean. `Lean.ToLevel.toLevel.{u}` evaluates to a `Lean.Level` term representing `u` -/ class ToLevel.{u} : Type where /-- A `Level` that represents the universe level `u`. -/ toLevel : Level /-- A hack to avoid the "unused universe parameter" error. We can remove this field pending issue https://github.com/leanprover/lean4/issues/2116 -/ univ : ∀ (_ : Sort u), True := fun _ => trivial export ToLevel (toLevel) instance : ToLevel.{0} where toLevel := .zero instance [ToLevel.{u}] : ToLevel.{u+1} where toLevel := .succ toLevel.{u} /-- `ToLevel` for `max u v`. This is not an instance since it causes divergence. -/ def ToLevel.max [ToLevel.{u}] [ToLevel.{v}] : ToLevel.{max u v} where toLevel := .max toLevel.{u} toLevel.{v} /-- `ToLevel` for `imax u v`. This is not an instance since it causes divergence. -/ def ToLevel.imax [ToLevel.{u}] [ToLevel.{v}] : ToLevel.{imax u v} where toLevel := .imax toLevel.{u} toLevel.{v} end Lean