79 lines
4 KiB
Text
79 lines
4 KiB
Text
/-
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Copyright (c) 2016 Microsoft Corporation. All rights reserved.
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Released under Apache 2.0 license as described in the file LICENSE.
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Authors: Leonardo de Moura
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-/
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prelude
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import init.meta.declaration init.meta.exceptional
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meta_constant environment : Type
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namespace environment
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/- Create a standard environment using the given trust level -/
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meta_constant mk_std : nat → environment
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/- Create a HoTT environment -/
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meta_constant mk_hott : nat → environment
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/- Return the trust level of the given environment -/
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meta_constant trust_lvl : environment → nat
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/- Return tt iff it is a standard environment -/
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meta_constant is_std : environment → bool
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/- Add a new declaration to the environment -/
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meta_constant add : environment → declaration → exceptional environment
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/- Retrieve a declaration from the environment -/
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meta_constant get : environment → name → exceptional declaration
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/- Add a new inductive datatype to the environment
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name, universe parameters, number of parameters, type, constructors (name and type) -/
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meta_constant add_inductive : environment → name → list name → nat → expr → list (name × expr) → exceptional environment
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/- Return tt iff the given name is an inductive datatype -/
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meta_constant is_inductive : environment → name → bool
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/- Return tt iff the given name is a constructor -/
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meta_constant is_constructor : environment → name → bool
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/- Return tt iff the given name is a recursor -/
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meta_constant is_recursor : environment → name → bool
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/- Return tt iff the given name is a recursive inductive datatype -/
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meta_constant is_recursive : environment → name → bool
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/- Return the name of the inductive datatype of the given constructor. -/
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meta_constant inductive_type_of : environment → name → option name
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/- Return the constructors of the inductive datatype with the given name -/
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meta_constant constructors_of : environment → name → list name
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/- Return the recursor of the given inductive datatype -/
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meta_constant recursor_of : environment → name → option name
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/- Return the number of parameters of the inductive datatype -/
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meta_constant inductive_num_params : environment → name → nat
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/- Return the number of indices of the inductive datatype -/
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meta_constant inductive_num_indices : environment → name → nat
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/- Return tt iff the inductive datatype recursor supports dependent elimination -/
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meta_constant inductive_dep_elim : environment → name → bool
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/- Fold over declarations in the environment -/
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meta_constant fold {A :Type} : environment → A → (declaration → A → A) → A
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/- (relation_info env n) returns some value if n is marked as a relation in the given environment.
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the tuple contains: total number of arguments of the relation, lhs position and rhs position. -/
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meta_constant relation_info : environment → name → option (nat × nat × nat)
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/- (refl_for env R) returns the name of the reflexivity theorem for the relation R -/
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meta_constant refl_for : environment → name → option name
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/- (symm_for env R) returns the name of the symmetry theorem for the relation R -/
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meta_constant symm_for : environment → name → option name
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/- (trans_for env R) returns the name of the transitivity theorem for the relation R -/
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meta_constant trans_for : environment → name → option name
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open expr
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meta_definition is_constructor_app (env : environment) (e : expr) : bool :=
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is_constant (get_app_fn e) && is_constructor env (const_name (get_app_fn e))
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meta_definition is_refl_app (env : environment) (e : expr) : option (name × expr × expr) :=
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match (refl_for env (const_name (get_app_fn e))) with
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| (some n) :=
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if get_app_num_args e ≥ 2
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then some (n, app_arg (app_fn e), app_arg e)
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else none
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| none := none
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end
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end environment
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attribute [instance]
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meta_definition environment.has_to_string : has_to_string environment :=
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has_to_string.mk (λ e, "[environment]")
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attribute [instance]
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meta_definition environment.is_inhabited : inhabited environment :=
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inhabited.mk (environment.mk_std 0)
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