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|
(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
(*i $Id: indrec.mli 13323 2010-07-24 15:57:30Z herbelin $ i*)
(*i*)
open Names
open Term
open Declarations
open Inductiveops
open Environ
open Evd
(*i*)
(* Errors related to recursors building *)
type recursion_scheme_error =
| NotAllowedCaseAnalysis of (*isrec:*) bool * sorts * inductive
| NotMutualInScheme of inductive * inductive
exception RecursionSchemeError of recursion_scheme_error
(** Eliminations *)
type dep_flag = bool
(* Build a case analysis elimination scheme in some sort family *)
val build_case_analysis_scheme : env -> evar_map -> inductive ->
dep_flag -> sorts_family -> constr
(* Build a dependent case elimination predicate unless type is in Prop *)
val build_case_analysis_scheme_default : env -> evar_map -> inductive ->
sorts_family -> constr
(* Builds a recursive induction scheme (Peano-induction style) in the same
sort family as the inductive family; it is dependent if not in Prop *)
val build_induction_scheme : env -> evar_map -> inductive ->
dep_flag -> sorts_family -> constr
(* Builds mutual (recursive) induction schemes *)
val build_mutual_induction_scheme :
env -> evar_map -> (inductive * dep_flag * sorts_family) list -> constr list
(** Scheme combinators *)
(* [modify_sort_scheme s n c] modifies the quantification sort of
scheme c whose predicate is abstracted at position [n] of [c] *)
val modify_sort_scheme : sorts -> int -> constr -> constr
(* [weaken_sort_scheme s n c t] derives by subtyping from [c:t]
whose conclusion is quantified on [Type] at position [n] of [t] a
scheme quantified on sort [s] *)
val weaken_sort_scheme : sorts -> int -> constr -> types -> constr * types
(** Recursor names utilities *)
val lookup_eliminator : inductive -> sorts_family -> constr
val elimination_suffix : sorts_family -> string
val make_elimination_ident : identifier -> sorts_family -> identifier
val case_suffix : string
|
