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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: inductive.mli,v 1.57.8.2 2005/01/21 16:41:49 herbelin Exp $ i*)
(*i*)
open Names
open Univ
open Term
open Declarations
open Environ
(*i*)
(*s Extracting an inductive type from a construction *)
(* [find_m*type env sigma c] coerce [c] to an recursive type (I args).
[find_rectype], [find_inductive] and [find_coinductive]
respectively accepts any recursive type, only an inductive type and
only a coinductive type.
They raise [Not_found] if not convertible to a recursive type. *)
val find_rectype : env -> types -> inductive * constr list
val find_inductive : env -> types -> inductive * constr list
val find_coinductive : env -> types -> inductive * constr list
(*s Fetching information in the environment about an inductive type.
Raises [Not_found] if the inductive type is not found. *)
val lookup_mind_specif :
env -> inductive -> mutual_inductive_body * one_inductive_body
(*s Functions to build standard types related to inductive *)
val type_of_inductive : env -> inductive -> types
(* Return type as quoted by the user *)
val type_of_constructor : env -> constructor -> types
(* Return constructor types in normal form *)
val arities_of_constructors : env -> inductive -> types array
(* Transforms inductive specification into types (in nf) *)
val arities_of_specif : mutual_inductive ->
mutual_inductive_body * one_inductive_body -> types array
(* [type_case_branches env (I,args) (p:A) c] computes useful types
about the following Cases expression:
<p>Cases (c :: (I args)) of b1..bn end
It computes the type of every branch (pattern variables are
introduced by products), the type for the whole expression, and
the universe constraints generated.
*)
val type_case_branches :
env -> inductive * constr list -> unsafe_judgment -> constr
-> types array * types * constraints
(* Check a [case_info] actually correspond to a Case expression on the
given inductive type. *)
val check_case_info : env -> inductive -> case_info -> unit
(* Find the ultimate inductive in the [mind_equiv] chain *)
val scrape_mind : env -> mutual_inductive -> mutual_inductive
(*s Guard conditions for fix and cofix-points. *)
val check_fix : env -> fixpoint -> unit
val check_cofix : env -> cofixpoint -> unit
|
