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|
(************************************************************************)
(* * The Coq Proof Assistant / The Coq Development Team *)
(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *)
(* <O___,, * (see CREDITS file for the list of authors) *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(* * (see LICENSE file for the text of the license) *)
(************************************************************************)
open Names
open Constr
open Environ
open Evd
(** Errors related to recursors building *)
type recursion_scheme_error =
| NotAllowedCaseAnalysis of (*isrec:*) bool * Sorts.t * pinductive
| NotMutualInScheme of inductive * inductive
| NotAllowedDependentAnalysis of (*isrec:*) bool * 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 -> Evd.evar_map -> pinductive ->
dep_flag -> Sorts.family -> evar_map * Constr.t
(** Build a dependent case elimination predicate unless type is in Prop
or is a recursive record with primitive projections. *)
val build_case_analysis_scheme_default : env -> evar_map -> pinductive ->
Sorts.family -> evar_map * Constr.t
(** Builds a recursive induction scheme (Peano-induction style) in the same
sort family as the inductive family; it is dependent if not in Prop
or a recursive record with primitive projections. *)
val build_induction_scheme : env -> evar_map -> pinductive ->
dep_flag -> Sorts.family -> evar_map * constr
(** Builds mutual (recursive) induction schemes *)
val build_mutual_induction_scheme :
env -> evar_map -> ?force_mutual:bool ->
(pinductive * dep_flag * Sorts.family) list -> evar_map * constr list
(** Scheme combinators *)
(** [weaken_sort_scheme env sigma eq s n c t] derives by subtyping from [c:t]
whose conclusion is quantified on [Type i] at position [n] of [t] a
scheme quantified on sort [s]. [set] asks for [s] be declared equal to [i],
otherwise just less or equal to [i]. *)
val weaken_sort_scheme : env -> evar_map -> bool -> Sorts.t -> int -> constr -> types ->
evar_map * types * constr
(** Recursor names utilities *)
val lookup_eliminator : inductive -> Sorts.family -> GlobRef.t
val elimination_suffix : Sorts.family -> string
val make_elimination_ident : Id.t -> Sorts.family -> Id.t
val case_suffix : string
|
