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(***********************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * INRIA-Rocquencourt & LRI-CNRS-Orsay *)
(* \VV/ *************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(***********************************************************************)
(*i $Id$ i*)
(*i*)
open Names
open Term
open Environ
open Sign
open Tacmach
open Proof_type
open Reduction
open Evd
open Evar_refiner
open Clenv
open Tacred
open Tacticals
open Libnames
open Tacexpr
open Nametab
open Rawterm
(* Main tactics. *)
(*s General functions. *)
val type_clenv_binding : named_context sigma ->
constr * constr -> constr substitution -> constr
val string_of_inductive : constr -> string
val head_constr : constr -> constr list
val head_constr_bound : constr -> constr list -> constr list
val is_quantified_hypothesis : identifier -> goal sigma -> bool
exception Bound
(*s Primitive tactics. *)
val introduction : identifier -> tactic
val refine : constr -> tactic
val convert_concl : constr -> tactic
val convert_hyp : named_declaration -> tactic
val thin : identifier list -> tactic
val mutual_fix :
identifier -> int -> (identifier * int * constr) list -> tactic
val fix : identifier option -> int -> tactic
val mutual_cofix : identifier -> (identifier * constr) list -> tactic
val cofix : identifier option -> tactic
(*s Introduction tactics. *)
val next_global_ident_away : identifier -> identifier list -> identifier
val fresh_id : identifier list -> identifier -> goal sigma -> identifier
val intro : tactic
val introf : tactic
val intro_force : bool -> tactic
val intro_move : identifier option -> identifier option -> tactic
val intro_replacing : identifier -> tactic
val intro_using : identifier -> tactic
val intro_mustbe_force : identifier -> tactic
val intros_using : identifier list -> tactic
val intro_erasing : identifier -> tactic
val intros_replacing : identifier list -> tactic
val intros : tactic
(* [depth_of_quantified_hypothesis b h g] returns the index of [h] in
the conclusion of goal [g], up to head-reduction if [b] is [true] *)
val depth_of_quantified_hypothesis :
bool -> quantified_hypothesis -> goal sigma -> int
val intros_until_n_wored : int -> tactic
val intros_until : quantified_hypothesis -> tactic
val intros_clearing : bool list -> tactic
(* Assuming a tactic [tac] depending on an hypothesis identifier,
[try_intros_until tac arg] first assumes that arg denotes a
quantified hypothesis (denoted by name or by index) and try to
introduce it in context before to apply [tac], otherwise assume the
hypothesis is already in context and directly apply [tac] *)
val try_intros_until :
(identifier -> tactic) -> quantified_hypothesis -> tactic
(*s Exact tactics. *)
val assumption : tactic
val exact_no_check : constr -> tactic
val exact_check : constr -> tactic
val exact_proof : Topconstr.constr_expr -> tactic
(*s Reduction tactics. *)
type tactic_reduction = env -> evar_map -> constr -> constr
val reduct_in_hyp : tactic_reduction -> hyp_location -> tactic
val reduct_option : tactic_reduction -> hyp_location option -> tactic
val reduct_in_concl : tactic_reduction -> tactic
val change_in_concl : constr occurrences option -> constr -> tactic
val change_in_hyp : constr occurrences option -> constr -> hyp_location ->
tactic
val red_in_concl : tactic
val red_in_hyp : hyp_location -> tactic
val red_option : hyp_location option -> tactic
val hnf_in_concl : tactic
val hnf_in_hyp : hyp_location -> tactic
val hnf_option : hyp_location option -> tactic
val simpl_in_concl : tactic
val simpl_in_hyp : hyp_location -> tactic
val simpl_option : hyp_location option -> tactic
val normalise_in_concl: tactic
val normalise_in_hyp : hyp_location -> tactic
val normalise_option : hyp_location option -> tactic
val unfold_in_concl : (int list * evaluable_global_reference) list -> tactic
val unfold_in_hyp :
(int list * evaluable_global_reference) list -> hyp_location -> tactic
val unfold_option :
(int list * evaluable_global_reference) list -> hyp_location option
-> tactic
val reduce : red_expr -> hyp_location list -> tactic
val change :
constr occurrences option -> constr -> hyp_location list -> tactic
val unfold_constr : global_reference -> tactic
val pattern_option : (int list * constr) list -> hyp_location option -> tactic
(*s Modification of the local context. *)
val clear : identifier list -> tactic
val clear_body : identifier list -> tactic
val new_hyp : int option -> constr with_bindings -> tactic
val move_hyp : bool -> identifier -> identifier -> tactic
val rename_hyp : identifier -> identifier -> tactic
(*s Resolution tactics. *)
val apply_type : constr -> constr list -> tactic
val apply_term : constr -> constr list -> tactic
val bring_hyps : named_context -> tactic
val apply : constr -> tactic
val apply_without_reduce : constr -> tactic
val apply_list : constr list -> tactic
val apply_with_bindings : constr with_bindings -> tactic
val cut_and_apply : constr -> tactic
(*s Elimination tactics. *)
val general_elim : constr with_bindings -> constr with_bindings ->
?allow_K:bool -> tactic
val default_elim : constr with_bindings -> tactic
val simplest_elim : constr -> tactic
val elim : constr with_bindings -> constr with_bindings option -> tactic
val general_elim_in : identifier -> constr * constr substitution ->
constr * constr substitution -> tactic
val old_induct : quantified_hypothesis -> tactic
val general_elim_in : identifier -> constr * constr substitution ->
constr * constr substitution -> tactic
val new_induct : constr induction_arg -> constr with_bindings option ->
identifier list list -> tactic
(*s Case analysis tactics. *)
val general_case_analysis : constr with_bindings -> tactic
val simplest_case : constr -> tactic
val old_destruct : quantified_hypothesis -> tactic
val new_destruct : constr induction_arg -> constr with_bindings option ->
identifier list list -> tactic
(*s Eliminations giving the type instead of the proof. *)
val case_type : constr -> tactic
val elim_type : constr -> tactic
(*s Some eliminations which are frequently used. *)
val impE : identifier -> tactic
val andE : identifier -> tactic
val orE : identifier -> tactic
val dImp : clause -> tactic
val dAnd : clause -> tactic
val dorE : bool -> clause ->tactic
(*s Introduction tactics. *)
val constructor_tac : int option -> int ->
constr substitution -> tactic
val one_constructor : int -> constr substitution -> tactic
val any_constructor : tactic option -> tactic
val left : constr substitution -> tactic
val simplest_left : tactic
val right : constr substitution -> tactic
val simplest_right : tactic
val split : constr substitution -> tactic
val simplest_split : tactic
(*s Logical connective tactics. *)
val reflexivity : tactic
val intros_reflexivity : tactic
val symmetry : tactic
val intros_symmetry : tactic
val transitivity : constr -> tactic
val intros_transitivity : constr -> tactic
val cut : constr -> tactic
val cut_intro : constr -> tactic
val cut_replacing : identifier -> constr -> tactic
val cut_in_parallel : constr list -> tactic
val true_cut : identifier option -> constr -> tactic
val letin_tac : bool -> name -> constr ->
identifier clause_pattern -> tactic
val forward : bool -> name -> constr -> tactic
val generalize : constr list -> tactic
val generalize_dep : constr -> tactic
val tclABSTRACT : identifier option -> tactic -> tactic
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