(************************************************************************)
(*  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: equality.mli 8651 2006-03-21 21:54:43Z jforest $ i*)

(*i*)
open Names
open Term
open Sign
open Evd
open Environ
open Proof_type
open Tacmach
open Hipattern
open Pattern
open Tacticals
open Tactics
open Tacexpr
open Rawterm
(*i*)

val general_rewrite_bindings : bool -> constr with_bindings -> tactic
val general_rewrite          : bool -> constr -> tactic

(* Obsolete, use [general_rewrite_bindings l2r]
[val rewriteLR_bindings       : constr with_bindings -> tactic]
[val rewriteRL_bindings       : constr with_bindings -> tactic]
*)

(* Equivalent to [general_rewrite l2r] *)
val rewriteLR   : constr -> tactic
val rewriteRL   : constr  -> tactic

(* Warning: old [general_rewrite_in] is now [general_rewrite_bindings_in] *)

val general_rewrite_bindings_in :
  bool -> identifier -> constr with_bindings -> tactic
val general_rewrite_in          :
  bool -> identifier -> constr -> tactic

val conditional_rewrite : bool -> tactic -> constr with_bindings -> tactic
val conditional_rewrite_in :
  bool -> identifier -> tactic -> constr with_bindings -> tactic

val replace    : constr -> constr -> tactic
val replace_in : identifier -> constr -> constr -> tactic
val replace_by : constr -> constr -> tactic -> tactic 
val replace_in_by : identifier -> constr -> constr -> tactic -> tactic 
val new_replace : constr -> constr -> identifier option -> tactic option -> tactic
val discr        : identifier -> tactic
val discrConcl   : tactic
val discrClause  : clause -> tactic
val discrHyp     : identifier -> tactic
val discrEverywhere     : tactic
val discr_tac    : quantified_hypothesis option -> tactic
val inj          : identifier -> tactic
val injClause    : quantified_hypothesis option -> tactic

val dEq : quantified_hypothesis option -> tactic
val dEqThen : (int -> tactic) -> quantified_hypothesis option -> tactic

val make_iterated_tuple : 
  env -> evar_map -> constr -> (constr * types) -> constr * constr * constr

(* The family cutRewriteIn expect an equality statement *)
val cutRewriteInHyp : bool -> types -> identifier -> tactic
val cutRewriteInConcl : bool -> constr -> tactic

(* The family rewriteIn expect the proof of an equality *)
val rewriteInHyp : bool -> constr -> identifier -> tactic
val rewriteInConcl : bool -> constr -> tactic

(* Expect the proof of an equality; fails with raw internal errors *)
val substClause : bool -> constr -> identifier option -> tactic

(*
(* [substHypInConcl l2r id] is obsolete: use [rewriteInConcl l2r (mkVar id)] *)
val substHypInConcl : bool -> identifier -> tactic

(* [substConcl] is an obsolete synonym for [cutRewriteInConcl] *)
val substConcl : bool -> constr -> tactic

(* [substHyp] is an obsolete synonym of [cutRewriteInHyp] *)
val substHyp : bool -> types -> identifier -> tactic
*)

(* Obsolete, use [rewriteInConcl lr (mkVar id)] in concl
              or [rewriteInHyp lr (mkVar id) (Some hyp)] in hyp
   (which, if they fail, raise only UserError, not PatternMatchingFailure)
   or [substClause lr (mkVar id) None]
   or [substClause lr (mkVar id) (Some hyp)]
[val hypSubst_LR : identifier -> clause -> tactic]
[val hypSubst_RL : identifier -> clause -> tactic]
*)

val discriminable : env -> evar_map -> constr -> constr -> bool

(* Subst *)

val unfold_body : identifier -> tactic

val subst : identifier list -> tactic
val subst_all : tactic

(* Replace term *)
val replace_term_left : constr -> tactic
val replace_term_right : constr -> tactic
val replace_term : constr -> tactic
val replace_term_in_left : constr -> identifier -> tactic
val replace_term_in_right : constr -> identifier -> tactic
val replace_term_in : constr -> identifier -> tactic