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(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2016 *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
open Pp
open Names
open Term
open Tacmach
open Proof_type
open Tacexpr
open Locus
open Misctypes
(** Tacticals i.e. functions from tactics to tactics. *)
val tclIDTAC : tactic
val tclIDTAC_MESSAGE : std_ppcmds -> tactic
val tclORELSE0 : tactic -> tactic -> tactic
val tclORELSE : tactic -> tactic -> tactic
val tclTHEN : tactic -> tactic -> tactic
val tclTHENSEQ : tactic list -> tactic
val tclTHENLIST : tactic list -> tactic
val tclTHEN_i : tactic -> (int -> tactic) -> tactic
val tclTHENFIRST : tactic -> tactic -> tactic
val tclTHENLAST : tactic -> tactic -> tactic
val tclTHENS : tactic -> tactic list -> tactic
val tclTHENSV : tactic -> tactic array -> tactic
val tclTHENSLASTn : tactic -> tactic -> tactic array -> tactic
val tclTHENLASTn : tactic -> tactic array -> tactic
val tclTHENSFIRSTn : tactic -> tactic array -> tactic -> tactic
val tclTHENFIRSTn : tactic -> tactic array -> tactic
val tclREPEAT : tactic -> tactic
val tclREPEAT_MAIN : tactic -> tactic
val tclFIRST : tactic list -> tactic
val tclSOLVE : tactic list -> tactic
val tclTRY : tactic -> tactic
val tclCOMPLETE : tactic -> tactic
val tclAT_LEAST_ONCE : tactic -> tactic
val tclFAIL : int -> std_ppcmds -> tactic
val tclFAIL_lazy : int -> std_ppcmds Lazy.t -> tactic
val tclDO : int -> tactic -> tactic
val tclWEAK_PROGRESS : tactic -> tactic
val tclPROGRESS : tactic -> tactic
val tclSHOWHYPS : tactic -> tactic
val tclNOTSAMEGOAL : tactic -> tactic
val tclTHENTRY : tactic -> tactic -> tactic
val tclMAP : ('a -> tactic) -> 'a list -> tactic
val tclIFTHENELSE : tactic -> tactic -> tactic -> tactic
val tclIFTHENSELSE : tactic -> tactic list -> tactic -> tactic
val tclIFTHENSVELSE : tactic -> tactic array -> tactic -> tactic
val tclIFTHENTRYELSEMUST : tactic -> tactic -> tactic
(** {6 Tacticals applying to hypotheses } *)
val onNthHypId : int -> (Id.t -> tactic) -> tactic
val onNthHyp : int -> (constr -> tactic) -> tactic
val onNthDecl : int -> (Context.Named.Declaration.t -> tactic) -> tactic
val onLastHypId : (Id.t -> tactic) -> tactic
val onLastHyp : (constr -> tactic) -> tactic
val onLastDecl : (Context.Named.Declaration.t -> tactic) -> tactic
val onNLastHypsId : int -> (Id.t list -> tactic) -> tactic
val onNLastHyps : int -> (constr list -> tactic) -> tactic
val onNLastDecls : int -> (Context.Named.t -> tactic) -> tactic
val lastHypId : goal sigma -> Id.t
val lastHyp : goal sigma -> constr
val lastDecl : goal sigma -> Context.Named.Declaration.t
val nLastHypsId : int -> goal sigma -> Id.t list
val nLastHyps : int -> goal sigma -> constr list
val nLastDecls : int -> goal sigma -> Context.Named.t
val afterHyp : Id.t -> goal sigma -> Context.Named.t
val ifOnHyp : (Id.t * types -> bool) ->
(Id.t -> tactic) -> (Id.t -> tactic) ->
Id.t -> tactic
val onHyps : (goal sigma -> Context.Named.t) ->
(Context.Named.t -> tactic) -> tactic
(** {6 Tacticals applying to goal components } *)
(** A [clause] denotes occurrences and hypotheses in a
goal; in particular, it can abstractly refer to the set of
hypotheses independently of the effective contents of the current goal *)
val onAllHyps : (Id.t -> tactic) -> tactic
val onAllHypsAndConcl : (Id.t option -> tactic) -> tactic
val onClause : (Id.t option -> tactic) -> clause -> tactic
val onClauseLR : (Id.t option -> tactic) -> clause -> tactic
(** {6 Elimination tacticals. } *)
type branch_args = {
ity : pinductive; (** the type we were eliminating on *)
largs : constr list; (** its arguments *)
branchnum : int; (** the branch number *)
pred : constr; (** the predicate we used *)
nassums : int; (** number of assumptions/letin to be introduced *)
branchsign : bool list; (** the signature of the branch.
true=assumption, false=let-in *)
branchnames : intro_patterns}
type branch_assumptions = {
ba : branch_args; (** the branch args *)
assums : Context.Named.t} (** the list of assumptions introduced *)
(** [get_and_check_or_and_pattern loc pats branchsign] returns an appropriate
error message if |pats| <> |branchsign|; extends them if no pattern is given
for let-ins in the case of a conjunctive pattern *)
val get_and_check_or_and_pattern :
Loc.t -> delayed_open_constr or_and_intro_pattern_expr ->
bool list array -> intro_patterns array
(** Tolerate "[]" to mean a disjunctive pattern of any length *)
val fix_empty_or_and_pattern : int ->
delayed_open_constr or_and_intro_pattern_expr ->
delayed_open_constr or_and_intro_pattern_expr
val compute_constructor_signatures : rec_flag -> pinductive -> bool list array
(** Useful for [as intro_pattern] modifier *)
val compute_induction_names :
bool list array -> or_and_intro_pattern option -> intro_patterns array
val elimination_sort_of_goal : goal sigma -> sorts_family
val elimination_sort_of_hyp : Id.t -> goal sigma -> sorts_family
val elimination_sort_of_clause : Id.t option -> goal sigma -> sorts_family
val pf_with_evars : (goal sigma -> Evd.evar_map * 'a) -> ('a -> tactic) -> tactic
val pf_constr_of_global : Globnames.global_reference -> (constr -> tactic) -> tactic
val elim_on_ba : (branch_assumptions -> tactic) -> branch_args -> tactic
val case_on_ba : (branch_assumptions -> tactic) -> branch_args -> tactic
(** Tacticals defined directly in term of Proofview *)
(** The tacticals in the module [New] are the tactical of Ltac. Their
semantics is an extension of the tacticals in this file for the
multi-goal backtracking tactics. They do not have the same
semantics as the similarly named tacticals in [Proofview]. The
tactical of [Proofview] are used in the definition of the
tacticals of [Tacticals.New], but they are more atomic. In
particular [Tacticals.New.tclORELSE] sees lack of progress as a
failure, whereas [Proofview.tclORELSE] doesn't. Additionally every
tactic which can catch failure ([tclOR], [tclORELSE], [tclTRY],
[tclREPEAt], etc…) are run into each goal independently (failures
and backtracks are localised to a given goal). *)
module New : sig
open Proofview
(** [catch_failerror e] fails and decreases the level if [e] is an
Ltac error with level more than 0. Otherwise succeeds. *)
val catch_failerror : Util.iexn -> unit tactic
val tclIDTAC : unit tactic
val tclTHEN : unit tactic -> unit tactic -> unit tactic
(* [tclFAIL n msg] fails with [msg] as an error message at level [n]
(meaning that it will jump over [n] error catching tacticals FROM
THIS MODULE. *)
val tclFAIL : int -> Pp.std_ppcmds -> 'a tactic
val tclZEROMSG : ?loc:Loc.t -> Pp.std_ppcmds -> 'a tactic
(** Fail with a [User_Error] containing the given message. *)
val tclOR : unit tactic -> unit tactic -> unit tactic
val tclORD : unit tactic -> (unit -> unit tactic) -> unit tactic
(** Like {!tclOR} but accepts a delayed tactic as a second argument
in the form of a function which will be run only in case of
backtracking. *)
val tclONCE : unit tactic -> unit tactic
val tclEXACTLY_ONCE : unit tactic -> unit tactic
val tclIFCATCH :
unit tactic ->
(unit -> unit tactic) ->
(unit -> unit tactic) -> unit tactic
val tclORELSE0 : unit tactic -> unit tactic -> unit tactic
val tclORELSE : unit tactic -> unit tactic -> unit tactic
(** [tclTHENS3PARTS tac1 [|t1 ; ... ; tn|] tac2 [|t'1 ; ... ; t'm|]
gls] applies the tactic [tac1] to [gls] then, applies [t1], ...,
[tn] to the first [n] resulting subgoals, [t'1], ..., [t'm] to the
last [m] subgoals and [tac2] to the rest of the subgoals in the
middle. Raises an error if the number of resulting subgoals is
strictly less than [n+m] *)
val tclTHENS3PARTS : unit tactic -> unit tactic array -> unit tactic -> unit tactic array -> unit tactic
val tclTHENSFIRSTn : unit tactic -> unit tactic array -> unit tactic -> unit tactic
val tclTHENFIRSTn : unit tactic -> unit tactic array -> unit tactic
(** [tclTHENFIRST tac1 tac2 gls] applies the tactic [tac1] to [gls]
and [tac2] to the first resulting subgoal *)
val tclTHENFIRST : unit tactic -> unit tactic -> unit tactic
val tclTHENLASTn : unit tactic -> unit tactic array -> unit tactic
val tclTHENLAST : unit tactic -> unit tactic -> unit tactic
(* [tclTHENS t l = t <*> tclDISPATCH l] *)
val tclTHENS : unit tactic -> unit tactic list -> unit tactic
(* [tclTHENLIST [t1;…;tn]] is [t1<*>…<*>tn] *)
val tclTHENLIST : unit tactic list -> unit tactic
(** [tclMAP f [x1..xn]] builds [(f x1);(f x2);...(f xn)] *)
val tclMAP : ('a -> unit tactic) -> 'a list -> unit tactic
val tclTRY : unit tactic -> unit tactic
val tclFIRST : unit tactic list -> unit tactic
val tclIFTHENELSE : unit tactic -> unit tactic -> unit tactic -> unit tactic
val tclIFTHENSVELSE : unit tactic -> unit tactic array -> unit tactic -> unit tactic
val tclIFTHENTRYELSEMUST : unit tactic -> unit tactic -> unit tactic
val tclDO : int -> unit tactic -> unit tactic
val tclREPEAT : unit tactic -> unit tactic
(* Repeat on the first subgoal (no failure if no more subgoal) *)
val tclREPEAT_MAIN : unit tactic -> unit tactic
val tclCOMPLETE : 'a tactic -> 'a tactic
val tclSOLVE : unit tactic list -> unit tactic
val tclPROGRESS : unit tactic -> unit tactic
val tclSELECT : goal_selector -> 'a tactic -> 'a tactic
val tclWITHHOLES : bool -> 'a tactic -> Evd.evar_map -> 'a tactic
val tclDELAYEDWITHHOLES : bool -> 'a delayed_open -> ('a -> unit tactic) -> unit tactic
val tclTIMEOUT : int -> unit tactic -> unit tactic
val tclTIME : string option -> 'a tactic -> 'a tactic
val nLastDecls : ([ `NF ], 'r) Proofview.Goal.t -> int -> Context.Named.t
val ifOnHyp : (identifier * types -> bool) ->
(identifier -> unit Proofview.tactic) -> (identifier -> unit Proofview.tactic) ->
identifier -> unit Proofview.tactic
val onNthHypId : int -> (identifier -> unit tactic) -> unit tactic
val onLastHypId : (identifier -> unit tactic) -> unit tactic
val onLastHyp : (constr -> unit tactic) -> unit tactic
val onLastDecl : (Context.Named.Declaration.t -> unit tactic) -> unit tactic
val onHyps : ([ `NF ], Context.Named.t) Proofview.Goal.enter ->
(Context.Named.t -> unit tactic) -> unit tactic
val afterHyp : Id.t -> (Context.Named.t -> unit tactic) -> unit tactic
val tryAllHyps : (identifier -> unit tactic) -> unit tactic
val tryAllHypsAndConcl : (identifier option -> unit tactic) -> unit tactic
val onClause : (identifier option -> unit tactic) -> clause -> unit tactic
val elimination_sort_of_goal : ('a, 'r) Proofview.Goal.t -> sorts_family
val elimination_sort_of_hyp : Id.t -> ('a, 'r) Proofview.Goal.t -> sorts_family
val elimination_sort_of_clause : Id.t option -> ('a, 'r) Proofview.Goal.t -> sorts_family
val elimination_then :
(branch_args -> unit Proofview.tactic) ->
constr -> unit Proofview.tactic
val case_then_using :
or_and_intro_pattern option -> (branch_args -> unit Proofview.tactic) ->
constr option -> pinductive -> Term.constr * Term.types -> unit Proofview.tactic
val case_nodep_then_using :
or_and_intro_pattern option -> (branch_args -> unit Proofview.tactic) ->
constr option -> pinductive -> Term.constr * Term.types -> unit Proofview.tactic
val elim_on_ba : (branch_assumptions -> unit Proofview.tactic) -> branch_args -> unit Proofview.tactic
val case_on_ba : (branch_assumptions -> unit Proofview.tactic) -> branch_args -> unit Proofview.tactic
val pf_constr_of_global : Globnames.global_reference -> (constr -> unit Proofview.tactic) -> unit Proofview.tactic
end
|
