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(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
(*i $Id: clenv.mli 13126 2010-06-13 11:09:51Z herbelin $ i*)
(*i*)
open Util
open Names
open Term
open Sign
open Environ
open Evd
open Evarutil
open Mod_subst
open Rawterm
open Unification
(*i*)
(***************************************************************)
(* The Type of Constructions clausale environments. *)
(* [env] is the typing context
* [evd] is the mapping from metavar and evar numbers to their types
* and values.
* [templval] is the template which we are trying to fill out.
* [templtyp] is its type.
*)
type clausenv = {
env : env;
evd : evar_defs;
templval : constr freelisted;
templtyp : constr freelisted }
(* Substitution is not applied on templenv (because [subst_clenv] is
applied only on hints which typing env is overwritten by the
goal env) *)
val subst_clenv : substitution -> clausenv -> clausenv
(* subject of clenv (instantiated) *)
val clenv_value : clausenv -> constr
(* type of clenv (instantiated) *)
val clenv_type : clausenv -> types
(* substitute resolved metas *)
val clenv_nf_meta : clausenv -> constr -> constr
(* type of a meta in clenv context *)
val clenv_meta_type : clausenv -> metavariable -> types
val mk_clenv_from : evar_info sigma -> constr * types -> clausenv
val mk_clenv_from_n :
evar_info sigma -> int option -> constr * types -> clausenv
val mk_clenv_type_of : evar_info sigma -> constr -> clausenv
val mk_clenv_from_env : env -> evar_map -> int option -> constr * types -> clausenv
(***************************************************************)
(* linking of clenvs *)
val connect_clenv : evar_info sigma -> clausenv -> clausenv
val clenv_fchain :
?allow_K:bool -> ?flags:unify_flags -> metavariable -> clausenv -> clausenv -> clausenv
(***************************************************************)
(* Unification with clenvs *)
(* Unifies two terms in a clenv. The boolean is [allow_K] (see [Unification]) *)
val clenv_unify :
bool -> ?flags:unify_flags -> conv_pb -> constr -> constr -> clausenv -> clausenv
(* unifies the concl of the goal with the type of the clenv *)
val clenv_unique_resolver :
bool -> ?flags:unify_flags -> clausenv -> evar_info sigma -> clausenv
(* same as above ([allow_K=false]) but replaces remaining metas
with fresh evars if [evars_flag] is [true] *)
val evar_clenv_unique_resolver :
bool -> ?flags:unify_flags -> clausenv -> evar_info sigma -> clausenv
val clenv_dependent : bool -> clausenv -> metavariable list
val clenv_pose_metas_as_evars : clausenv -> metavariable list -> clausenv
(***************************************************************)
(* Bindings *)
type arg_bindings = open_constr explicit_bindings
(* bindings where the key is the position in the template of the
clenv (dependent or not). Positions can be negative meaning to
start from the rightmost argument of the template. *)
val clenv_independent : clausenv -> metavariable list
val clenv_missing : clausenv -> metavariable list
(** for the purpose of inversion tactics *)
exception NoSuchBinding
val clenv_constrain_last_binding : constr -> clausenv -> clausenv
(* defines metas corresponding to the name of the bindings *)
val clenv_match_args : arg_bindings -> clausenv -> clausenv
val clenv_unify_meta_types : ?flags:unify_flags -> clausenv -> clausenv
(* start with a clenv to refine with a given term with bindings *)
(* the arity of the lemma is fixed *)
(* the optional int tells how many prods of the lemma have to be used *)
(* use all of them if None *)
val make_clenv_binding_apply :
evar_info sigma -> int option -> constr * constr -> open_constr bindings ->
clausenv
val make_clenv_binding :
evar_info sigma -> constr * constr -> open_constr bindings -> clausenv
(* [clenv_environments sigma n t] returns [sigma',lmeta,ccl] where
[lmetas] is a list of metas to be applied to a proof of [t] so that
it produces the unification pattern [ccl]; [sigma'] is [sigma]
extended with [lmetas]; if [n] is defined, it limits the size of
the list even if [ccl] is still a product; otherwise, it stops when
[ccl] is not a product; example: if [t] is [forall x y, x=y -> y=x]
and [n] is [None], then [lmetas] is [Meta n1;Meta n2;Meta n3] and
[ccl] is [Meta n1=Meta n2]; if [n] is [Some 1], [lmetas] is [Meta n1]
and [ccl] is [forall y, Meta n1=y -> y=Meta n1] *)
val clenv_environments :
evar_defs -> int option -> types -> evar_defs * constr list * types
(* [clenv_environments_evars env sigma n t] does the same but returns
a list of Evar's defined in [env] and extends [sigma] accordingly *)
val clenv_environments_evars :
env -> evar_defs -> int option -> types -> evar_defs * constr list * types
(* [clenv_conv_leq env sigma t c n] looks for c1...cn s.t. [t <= c c1...cn] *)
val clenv_conv_leq :
env -> evar_map -> types -> constr -> int -> constr list
(* if the clause is a product, add an extra meta for this product *)
exception NotExtensibleClause
val clenv_push_prod : clausenv -> clausenv
(***************************************************************)
(* Pretty-print *)
val pr_clenv : clausenv -> Pp.std_ppcmds
|
