lean4-htt/library/init/meta/level.lean
2018-06-22 10:29:49 -07:00

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/-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.meta.name init.lean.level
export lean (level level.zero level.succ level.max level.imax level.param level.of_nat level.has_param)
/- TODO(Leo): provide a definition in Lean. -/
meta constant level.has_decidable_eq : decidable_eq level
attribute [instance] level.has_decidable_eq
meta constant level.lt : level → level → bool
meta constant level.lex_lt : level → level → bool
meta constant level.fold {α :Type} : level → α → (level → αα) → α
/-- Return the given level expression normal form -/
meta constant level.normalize : level → level
/-- Return tt iff lhs and rhs denote the same level.
The check is done by normalization. -/
meta constant level.eqv : level → level → bool
/-- Return tt iff the first level occurs in the second -/
meta constant level.occurs : level → level → bool
/-- Replace a parameter named n with l in the first level if the list contains the pair (n, l) -/
meta constant level.instantiate : level → list (name × level) → list level