lean4-htt/library/init/meta/expr.lean
2016-06-07 10:14:07 -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.level
inductive binder_info :=
| default | implicit | strict_implicit | inst_implicit | other
meta_constant macro_def : Type₁
/- Reflect a C++ expr object. The VM replaces it with the C++ implementation. -/
inductive expr :=
| var : unsigned → expr
| sort : level → expr
| const : name → list level → expr
| meta : name → expr → expr
| free_var : name → name → binder_info → expr → expr
| app : expr → expr → expr
| lam : name → binder_info → expr → expr → expr
| pi : name → binder_info → expr → expr → expr
| elet : name → expr → expr → expr → expr
| macro : macro_def → ∀ n : unsigned, (fin (unsigned.to_nat n) → expr) → expr
meta_constant expr.mk_macro (d : macro_def) : list expr → expr
meta_definition expr.mk_var (n : nat) : expr :=
expr.var (unsigned.of_nat n)
meta_constant expr.has_decidable_eq : decidable_eq expr
attribute [instance] expr.has_decidable_eq
meta_constant expr.alpha_eqv : expr → expr → bool
notation a ` =ₐ `:50 b:50 := expr.alpha_eqv a b = bool.tt
meta_constant expr.to_string : expr → string
meta_definition expr.has_to_string [instance] : has_to_string expr :=
has_to_string.mk expr.to_string
meta_constant expr.lt : expr → expr → bool
meta_constant expr.lex_lt : expr → expr → bool
meta_definition expr.cmp (a b : expr) : ordering :=
if expr.lt a b = bool.tt then ordering.lt
else if a = b then ordering.eq
else ordering.gt
meta_constant expr.fold {A :Type} : expr → A → (expr → unsigned → A → A) → A
meta_constant expr.abstract_fv : expr → name → expr
meta_constant expr.abstract_fvs : expr → list name → expr
meta_constant expr.instantiate_var : expr → expr → expr
meta_constant expr.instantiate_vars : expr → list expr → expr
meta_constant expr.has_var : expr → bool
meta_constant expr.has_var_idx : expr → nat → bool
meta_constant expr.has_free_var : expr → bool
meta_constant expr.has_meta_var : expr → bool
meta_constant expr.lift_vars : expr → nat → nat → expr
meta_constant expr.lower_vars : expr → nat → nat → expr