package coq

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package coq
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General functions.
exception Bound
val decompose_app_bound : Evd.evar_map -> EConstr.constr -> Names.GlobRef.t * EConstr.constr array
type debug =
  1. | Debug
  2. | Info
  3. | Off
val secvars_of_hyps : ('c, 't) Context.Named.pt -> Names.Id.Pred.t
val empty_hint_info : 'a Typeclasses.hint_info_gen
val hint_cat : Libobject.category

Pre-created hint databases

type 'a hint_ast =
  1. | Res_pf of 'a
  2. | ERes_pf of 'a
  3. | Give_exact of 'a
  4. | Res_pf_THEN_trivial_fail of 'a
  5. | Unfold_nth of Tacred.evaluable_global_reference
  6. | Extern of Pattern.constr_pattern option * Genarg.glob_generic_argument
type hint
val hint_as_term : hint -> Univ.ContextSet.t option * EConstr.constr
type 'a hints_path_atom_gen =
  1. | PathHints of 'a list
  2. | PathAny
type hints_path_atom = Names.GlobRef.t hints_path_atom_gen
type hint_db_name = string
module FullHint : sig ... end

The head may not be bound.

type hint_mode =
  1. | ModeInput
  2. | ModeNoHeadEvar
  3. | ModeOutput
type 'a hints_transparency_target =
  1. | HintsVariables
  2. | HintsConstants
  3. | HintsReferences of 'a list
type 'a hints_path_gen =
  1. | PathAtom of 'a hints_path_atom_gen
  2. | PathStar of 'a hints_path_gen
  3. | PathSeq of 'a hints_path_gen * 'a hints_path_gen
  4. | PathOr of 'a hints_path_gen * 'a hints_path_gen
  5. | PathEmpty
  6. | PathEpsilon
type pre_hints_path = Libnames.qualid hints_path_gen
val normalize_path : hints_path -> hints_path
val path_matches : hints_path -> hints_path_atom list -> bool
val path_derivate : hints_path -> hints_path_atom -> hints_path
val pp_hints_path_gen : ('a -> Pp.t) -> 'a hints_path_gen -> Pp.t
val pp_hints_path_atom : ('a -> Pp.t) -> 'a hints_path_atom_gen -> Pp.t
val pp_hints_path : hints_path -> Pp.t
val pp_hint_mode : hint_mode -> Pp.t
type mode_match =
  1. | NoMode
  2. | WithMode of hint_mode array
type 'a with_mode =
  1. | ModeMatch of mode_match * 'a
  2. | ModeMismatch
module Hint_db : sig ... end
type hint_db = Hint_db.t
type hnf = bool
type hint_term
type hints_entry =
  1. | HintsResolveEntry of (Typeclasses.hint_info * hnf * hints_path_atom * hint_term) list
  2. | HintsImmediateEntry of (hints_path_atom * hint_term) list
  3. | HintsCutEntry of hints_path
  4. | HintsUnfoldEntry of Tacred.evaluable_global_reference list
  5. | HintsTransparencyEntry of Tacred.evaluable_global_reference hints_transparency_target * bool
  6. | HintsModeEntry of Names.GlobRef.t * hint_mode list
  7. | HintsExternEntry of Typeclasses.hint_info * Genarg.glob_generic_argument
val searchtable_map : hint_db_name -> hint_db
val searchtable_add : (hint_db_name * hint_db) -> unit
type hint_locality =
  1. | Local
  2. | Export
  3. | SuperGlobal
val default_hint_locality : unit -> hint_locality

Warns

create_hint_db local name st use_dn. st is a transparency state for unification using this db use_dn switches the use of the discrimination net for all hints and patterns.

val create_hint_db : bool -> hint_db_name -> TransparentState.t -> bool -> unit
val remove_hints : locality:hint_locality -> hint_db_name list -> Names.GlobRef.t list -> unit
val current_db_names : unit -> Util.String.Set.t
val current_pure_db : unit -> hint_db list
val add_hints : locality:hint_locality -> hint_db_name list -> hints_entry -> unit
val hint_globref : Names.GlobRef.t -> hint_term
val hint_constr : (EConstr.constr * Univ.ContextSet.t option) -> hint_term

A constr which is Hint'ed will be:

  • (1) used as an Exact, if it does not start with a product
  • (2) used as an Apply, if its HNF starts with a product, and has no missing arguments.
  • (3) used as an EApply, if its HNF starts with a product, and has missing arguments.

push_resolve_hyp hname htyp db. used to add an hypothesis to the local hint database; Never raises a user exception; If the hyp cannot be used as a Hint, it is not added.

val push_resolve_hyp : Environ.env -> Evd.evar_map -> Names.Id.t -> Hint_db.t -> Hint_db.t

Create a Hint database from the pairs (name, constr). Useful to take the current goal hypotheses as hints; Boolean tells if lemmas with evars are allowed

val make_local_hint_db : Environ.env -> Evd.evar_map -> ?ts:TransparentState.t -> bool -> Tactypes.delayed_open_constr list -> hint_db
val make_db_list : hint_db_name list -> hint_db list
val wrap_hint_warning : 'a Proofview.tactic -> 'a Proofview.tactic

Use around toplevel calls to hint-using tactics, to enable the tracking of non-imported hints. Any tactic calling run_hint must be wrapped this way.

val wrap_hint_warning_fun : Environ.env -> Evd.evar_map -> (Evd.evar_map -> 'a * Evd.evar_map) -> 'a * Evd.evar_map

Variant of the above for non-tactics

val hint_res_pf : ?with_evars:bool -> ?with_classes:bool -> ?flags:Unification.unify_flags -> hint -> unit Proofview.tactic

Printing hints

val pr_searchtable : Environ.env -> Evd.evar_map -> Pp.t
val pr_applicable_hint : Proof.t -> Pp.t
val pr_hint_ref : Environ.env -> Evd.evar_map -> Names.GlobRef.t -> Pp.t
val pr_hint_db_by_name : Environ.env -> Evd.evar_map -> hint_db_name -> Pp.t
val pr_hint_db_env : Environ.env -> Evd.evar_map -> Hint_db.t -> Pp.t