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(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
(*i $Id: coqlib.mli 14641 2011-11-06 11:59:10Z herbelin $ i*)
(*i*)
open Names
open Libnames
open Nametab
open Term
open Pattern
open Util
(*i*)
(*s This module collects the global references, constructions and
patterns of the standard library used in ocaml files *)
(*s [find_reference caller_message [dir;subdir;...] s] returns a global
reference to the name dir.subdir.(...).s; the corresponding module
must have been required or in the process of being compiled so that
it must be used lazyly; it raises an anomaly with the given message
if not found *)
type message = string
val find_reference : message -> string list -> string -> global_reference
(* [coq_reference caller_message [dir;subdir;...] s] returns a
global reference to the name Coq.dir.subdir.(...).s *)
val coq_reference : message -> string list -> string -> global_reference
(* idem but return a term *)
val coq_constant : message -> string list -> string -> constr
(* Synonyms of [coq_constant] and [coq_reference] *)
val gen_constant : message -> string list -> string -> constr
val gen_reference : message -> string list -> string -> global_reference
(* Search in several modules (not prefixed by "Coq") *)
val gen_constant_in_modules : string->string list list-> string -> constr
val arith_modules : string list list
val zarith_base_modules : string list list
val init_modules : string list list
(* For tactics/commands requiring vernacular libraries *)
val check_required_library : string list -> unit
(*s Global references *)
(* Modules *)
val logic_module : dir_path
val logic_type_module : dir_path
val datatypes_module_name : string list
val logic_module_name : string list
(* Natural numbers *)
val nat_path : full_path
val glob_nat : global_reference
val path_of_O : constructor
val path_of_S : constructor
val glob_O : global_reference
val glob_S : global_reference
(* Booleans *)
val glob_bool : global_reference
val path_of_true : constructor
val path_of_false : constructor
val glob_true : global_reference
val glob_false : global_reference
(* Equality *)
val glob_eq : global_reference
val glob_identity : global_reference
val glob_jmeq : global_reference
(*s Constructions and patterns related to Coq initial state are unknown
at compile time. Therefore, we can only provide methods to build
them at runtime. This is the purpose of the [constr delayed] and
[constr_pattern delayed] types. Objects of this time needs to be
forced with [delayed_force] to get the actual constr or pattern
at runtime. *)
type coq_bool_data = {
andb : constr;
andb_prop : constr;
andb_true_intro : constr}
val build_bool_type : coq_bool_data delayed
(*s For Equality tactics *)
type coq_sigma_data = {
proj1 : constr;
proj2 : constr;
elim : constr;
intro : constr;
typ : constr }
val build_sigma_set : coq_sigma_data delayed
val build_sigma_type : coq_sigma_data delayed
(* Non-dependent pairs in Set from Datatypes *)
val build_prod : coq_sigma_data delayed
type coq_eq_data = {
eq : constr;
ind : constr;
refl : constr;
sym : constr;
trans: constr;
congr: constr }
val build_coq_eq_data : coq_eq_data delayed
val build_coq_identity_data : coq_eq_data delayed
val build_coq_jmeq_data : coq_eq_data delayed
val build_coq_eq : constr delayed (* = [(build_coq_eq_data()).eq] *)
val build_coq_eq_refl : constr delayed (* = [(build_coq_eq_data()).refl] *)
val build_coq_eq_sym : constr delayed (* = [(build_coq_eq_data()).sym] *)
val build_coq_f_equal2 : constr delayed
(* Data needed for discriminate and injection *)
type coq_inversion_data = {
inv_eq : constr; (* : forall params, t -> Prop *)
inv_ind : constr; (* : forall params P y, eq params y -> P y *)
inv_congr: constr (* : forall params B (f:t->B) y, eq params y -> f c=f y *)
}
val build_coq_inversion_eq_data : coq_inversion_data delayed
val build_coq_inversion_identity_data : coq_inversion_data delayed
val build_coq_inversion_jmeq_data : coq_inversion_data delayed
val build_coq_inversion_eq_true_data : coq_inversion_data delayed
(* Specif *)
val build_coq_sumbool : constr delayed
(*s Connectives *)
(* The False proposition *)
val build_coq_False : constr delayed
(* The True proposition and its unique proof *)
val build_coq_True : constr delayed
val build_coq_I : constr delayed
(* Negation *)
val build_coq_not : constr delayed
(* Conjunction *)
val build_coq_and : constr delayed
val build_coq_conj : constr delayed
val build_coq_iff : constr delayed
val build_coq_iff_left_proj : constr delayed
val build_coq_iff_right_proj : constr delayed
(* Disjunction *)
val build_coq_or : constr delayed
(* Existential quantifier *)
val build_coq_ex : constr delayed
val coq_eq_ref : global_reference lazy_t
val coq_identity_ref : global_reference lazy_t
val coq_jmeq_ref : global_reference lazy_t
val coq_eq_true_ref : global_reference lazy_t
val coq_existS_ref : global_reference lazy_t
val coq_existT_ref : global_reference lazy_t
val coq_not_ref : global_reference lazy_t
val coq_False_ref : global_reference lazy_t
val coq_sumbool_ref : global_reference lazy_t
val coq_sig_ref : global_reference lazy_t
val coq_or_ref : global_reference lazy_t
val coq_iff_ref : global_reference lazy_t
|
