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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: equality.mli 11166 2008-06-22 13:23:35Z herbelin $ 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 Termops
open Rawterm
open Genarg
(*i*)
val general_rewrite_bindings :
bool -> occurrences -> constr with_bindings -> evars_flag -> tactic
val general_rewrite :
bool -> occurrences -> 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 register_general_setoid_rewrite_clause :
(identifier option -> bool ->
occurrences -> constr -> new_goals:constr list -> tactic) -> unit
val general_rewrite_bindings_in :
bool -> occurrences -> identifier -> constr with_bindings -> evars_flag -> tactic
val general_rewrite_in :
bool -> occurrences -> identifier -> constr -> evars_flag -> tactic
val general_multi_rewrite :
bool -> evars_flag -> constr with_ebindings -> clause -> tactic
val general_multi_multi_rewrite :
evars_flag -> (bool * multi * constr with_ebindings) list -> clause ->
tactic option -> tactic
val conditional_rewrite : bool -> tactic -> constr with_ebindings -> tactic
val conditional_rewrite_in :
bool -> identifier -> tactic -> constr with_ebindings -> tactic
val replace_in_clause_maybe_by : constr -> constr -> clause -> tactic option -> 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 discr : evars_flag -> constr with_ebindings -> tactic
val discrConcl : tactic
val discrClause : evars_flag -> clause -> tactic
val discrHyp : identifier -> tactic
val discrEverywhere : evars_flag -> tactic
val discr_tac : evars_flag ->
constr with_ebindings induction_arg option -> tactic
val inj : intro_pattern_expr list -> evars_flag ->
constr with_ebindings -> tactic
val injClause : intro_pattern_expr list -> evars_flag ->
constr with_ebindings induction_arg option -> tactic
val injHyp : identifier -> tactic
val injConcl : tactic
val dEq : evars_flag -> constr with_ebindings induction_arg option -> tactic
val dEqThen : evars_flag -> (int -> tactic) -> constr with_ebindings induction_arg 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
val injectable : env -> evar_map -> constr -> constr -> bool
(* Subst *)
val unfold_body : identifier -> tactic
val subst : identifier list -> tactic
val subst_all : tactic
(* Replace term *)
(* [replace_multi_term dir_opt c cl]
perfoms replacement of [c] by the first value found in context
(according to [dir] if given to get the rewrite direction) in the clause [cl]
*)
val replace_multi_term : bool option -> constr -> clause -> tactic
|
