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|
(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
(*i $Id: equality.mli 14641 2011-11-06 11:59:10Z herbelin $ i*)
(*i*)
open Util
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
open Ind_tables
(*i*)
type dep_proof_flag = bool (* true = support rewriting dependent proofs *)
type orientation = bool
type conditions =
| Naive (* Only try the first occurence of the lemma (default) *)
| FirstSolved (* Use the first match whose side-conditions are solved *)
| AllMatches (* Rewrite all matches whose side-conditions are solved *)
val general_rewrite_bindings :
orientation -> occurrences -> dep_proof_flag ->
?tac:(tactic * conditions) -> constr with_bindings -> evars_flag -> tactic
val general_rewrite :
orientation -> occurrences -> dep_proof_flag ->
?tac:(tactic * conditions) -> constr -> tactic
(* Equivalent to [general_rewrite l2r] *)
val rewriteLR : ?tac:(tactic * conditions) -> constr -> tactic
val rewriteRL : ?tac:(tactic * conditions) -> constr -> tactic
(* Warning: old [general_rewrite_in] is now [general_rewrite_bindings_in] *)
val register_general_rewrite_clause :
(identifier option -> orientation ->
occurrences -> constr with_bindings -> new_goals:constr list -> tactic) -> unit
val register_is_applied_rewrite_relation : (env -> evar_map -> rel_context -> constr -> constr option) -> unit
val general_rewrite_ebindings_clause : identifier option ->
orientation -> occurrences -> dep_proof_flag -> ?tac:(tactic * conditions) ->
constr with_bindings -> evars_flag -> tactic
val general_rewrite_bindings_in :
orientation -> occurrences -> dep_proof_flag -> ?tac:(tactic * conditions) ->
identifier -> constr with_bindings -> evars_flag -> tactic
val general_rewrite_in :
orientation -> occurrences -> dep_proof_flag -> ?tac:(tactic * conditions) ->
identifier -> constr -> evars_flag -> tactic
val general_multi_rewrite :
orientation -> evars_flag -> ?tac:(tactic * conditions) -> constr with_bindings -> clause -> tactic
type delayed_open_constr_with_bindings =
env -> evar_map -> evar_map * constr with_bindings
val general_multi_multi_rewrite :
evars_flag -> (bool * multi * delayed_open_constr_with_bindings) list ->
clause -> (tactic * conditions) option -> 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_bindings -> 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_bindings induction_arg option -> tactic
val inj : intro_pattern_expr located list -> evars_flag ->
constr with_bindings -> tactic
val injClause : intro_pattern_expr located list -> evars_flag ->
constr with_bindings induction_arg option -> tactic
val injHyp : identifier -> tactic
val injConcl : tactic
val dEq : evars_flag -> constr with_bindings induction_arg option -> tactic
val dEqThen : evars_flag -> (int -> tactic) -> constr with_bindings 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
val discriminable : env -> evar_map -> constr -> constr -> bool
val injectable : env -> evar_map -> constr -> constr -> bool
(* Subst *)
val unfold_body : identifier -> tactic
type subst_tactic_flags = {
only_leibniz : bool;
rewrite_dependent_proof : bool
}
val subst_gen : bool -> identifier list -> tactic
val subst : identifier list -> tactic
val subst_all : ?flags:subst_tactic_flags -> 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
val set_eq_dec_scheme_kind : mutual scheme_kind -> unit
|
