1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
|
(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2017 *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
open Util
open Names
open EConstr
open Environ
open Globnames
open Decl_kinds
open Evd
open Misctypes
open Tactypes
open Clenv
open Pattern
open Vernacexpr
(** {6 General functions. } *)
exception Bound
val decompose_app_bound : evar_map -> constr -> global_reference * constr array
type debug = Debug | Info | Off
val secvars_of_hyps : ('c, 't) Context.Named.pt -> Id.Pred.t
val empty_hint_info : 'a hint_info_gen
(** Pre-created hint databases *)
type 'a hint_ast =
| Res_pf of 'a (* Hint Apply *)
| ERes_pf of 'a (* Hint EApply *)
| Give_exact of 'a
| Res_pf_THEN_trivial_fail of 'a (* Hint Immediate *)
| Unfold_nth of evaluable_global_reference (* Hint Unfold *)
| Extern of Genarg.glob_generic_argument (* Hint Extern *)
type hint
type raw_hint = constr * types * Univ.ContextSet.t
type 'a hints_path_atom_gen =
| PathHints of 'a list
(* For forward hints, their names is the list of projections *)
| PathAny
type hints_path_atom = global_reference hints_path_atom_gen
type hint_db_name = string
type 'a with_metadata = private {
pri : int; (** A number between 0 and 4, 4 = lower priority *)
poly : polymorphic; (** Is the hint polymorpic and hence should be refreshed at each application *)
pat : constr_pattern option; (** A pattern for the concl of the Goal *)
name : hints_path_atom; (** A potential name to refer to the hint *)
db : hint_db_name option;
secvars : Id.Pred.t; (** The section variables this hint depends on, as a predicate *)
code : 'a; (** the tactic to apply when the concl matches pat *)
}
type full_hint = hint with_metadata
type search_entry
(** The head may not be bound. *)
type hint_entry
type 'a hints_path_gen =
| PathAtom of 'a hints_path_atom_gen
| PathStar of 'a hints_path_gen
| PathSeq of 'a hints_path_gen * 'a hints_path_gen
| PathOr of 'a hints_path_gen * 'a hints_path_gen
| PathEmpty
| PathEpsilon
type pre_hints_path = Libnames.reference hints_path_gen
type hints_path = global_reference 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
val glob_hints_path_atom :
Libnames.reference hints_path_atom_gen -> Globnames.global_reference hints_path_atom_gen
val glob_hints_path :
Libnames.reference hints_path_gen -> Globnames.global_reference hints_path_gen
module Hint_db :
sig
type t
val empty : ?name:hint_db_name -> transparent_state -> bool -> t
val find : global_reference -> t -> search_entry
(** All hints which have no pattern.
* [secvars] represent the set of section variables that
* can be used in the hint. *)
val map_none : secvars:Id.Pred.t -> t -> full_hint list
(** All hints associated to the reference *)
val map_all : secvars:Id.Pred.t -> global_reference -> t -> full_hint list
(** All hints associated to the reference, respecting modes if evars appear in the
arguments, _not_ using the discrimination net. *)
val map_existential : evar_map -> secvars:Id.Pred.t ->
(global_reference * constr array) -> constr -> t -> full_hint list
(** All hints associated to the reference, respecting modes if evars appear in the
arguments and using the discrimination net. *)
val map_eauto : evar_map -> secvars:Id.Pred.t -> (global_reference * constr array) -> constr -> t -> full_hint list
(** All hints associated to the reference, respecting modes if evars appear in the
arguments. *)
val map_auto : evar_map -> secvars:Id.Pred.t ->
(global_reference * constr array) -> constr -> t -> full_hint list
val add_one : env -> evar_map -> hint_entry -> t -> t
val add_list : env -> evar_map -> hint_entry list -> t -> t
val remove_one : global_reference -> t -> t
val remove_list : global_reference list -> t -> t
val iter : (global_reference option ->
hint_mode array list -> full_hint list -> unit) -> t -> unit
val use_dn : t -> bool
val transparent_state : t -> transparent_state
val set_transparent_state : t -> transparent_state -> t
val add_cut : hints_path -> t -> t
val cut : t -> hints_path
val unfolds : t -> Id.Set.t * Cset.t
end
type hint_db = Hint_db.t
type hnf = bool
type hint_info = (patvar list * constr_pattern) hint_info_gen
type hint_term =
| IsGlobRef of global_reference
| IsConstr of constr * Univ.ContextSet.t
type hints_entry =
| HintsResolveEntry of
(hint_info * polymorphic * hnf * hints_path_atom * hint_term) list
| HintsImmediateEntry of (hints_path_atom * polymorphic * hint_term) list
| HintsCutEntry of hints_path
| HintsUnfoldEntry of evaluable_global_reference list
| HintsTransparencyEntry of evaluable_global_reference list * bool
| HintsModeEntry of global_reference * hint_mode list
| HintsExternEntry of hint_info * Genarg.glob_generic_argument
val searchtable_map : hint_db_name -> hint_db
val searchtable_add : (hint_db_name * hint_db) -> unit
(** [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 -> transparent_state -> bool -> unit
val remove_hints : bool -> hint_db_name list -> global_reference list -> unit
val current_db_names : unit -> String.Set.t
val current_pure_db : unit -> hint_db list
val interp_hints : polymorphic -> hints_expr -> hints_entry
val add_hints : locality_flag -> hint_db_name list -> hints_entry -> unit
val prepare_hint : bool (* Check no remaining evars *) ->
(bool * bool) (* polymorphic or monomorphic, local or global *) ->
env -> evar_map -> evar_map * constr -> hint_term
(** [make_exact_entry info (c, ctyp, ctx)].
[c] is the term given as an exact proof to solve the goal;
[ctyp] is the type of [c].
[ctx] is its (refreshable) universe context.
In info:
[hint_priority] is the hint's desired priority, it is 0 if unspecified
[hint_pattern] is the hint's desired pattern, it is inferred if not specified
*)
val make_exact_entry : env -> evar_map -> hint_info -> polymorphic -> ?name:hints_path_atom ->
(constr * types * Univ.ContextSet.t) -> hint_entry
(** [make_apply_entry (eapply,hnf,verbose) info (c,cty,ctx))].
[eapply] is true if this hint will be used only with EApply;
[hnf] should be true if we should expand the head of cty before searching for
products;
[c] is the term given as an exact proof to solve the goal;
[cty] is the type of [c].
[ctx] is its (refreshable) universe context.
In info:
[hint_priority] is the hint's desired priority, it is computed as the number of products in [cty]
if unspecified
[hint_pattern] is the hint's desired pattern, it is inferred from the conclusion of [cty]
if not specified
*)
val make_apply_entry :
env -> evar_map -> bool * bool * bool -> hint_info -> polymorphic -> ?name:hints_path_atom ->
(constr * types * Univ.ContextSet.t) -> hint_entry
(** 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. *)
val make_resolves :
env -> evar_map -> bool * bool * bool -> hint_info -> polymorphic -> ?name:hints_path_atom ->
hint_term -> hint_entry list
(** [make_resolve_hyp hname htyp].
used to add an hypothesis to the local hint database;
Never raises a user exception;
If the hyp cannot be used as a Hint, the empty list is returned. *)
val make_resolve_hyp :
env -> evar_map -> named_declaration -> hint_entry list
(** [make_extern pri pattern tactic_expr] *)
val make_extern :
int -> constr_pattern option -> Genarg.glob_generic_argument
-> hint_entry
val run_hint : hint ->
((raw_hint * clausenv) hint_ast -> 'r Proofview.tactic) -> 'r Proofview.tactic
(** This function is for backward compatibility only, not to use in newly
written code. *)
val repr_hint : hint -> (raw_hint * clausenv) hint_ast
(** 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 : env -> evar_map -> ?ts:transparent_state -> bool -> delayed_open_constr list -> hint_db
val make_db_list : hint_db_name list -> hint_db list
(** Initially created hint databases, for typeclasses and rewrite *)
val typeclasses_db : hint_db_name
val rewrite_db : hint_db_name
(** Printing hints *)
val pr_searchtable : env -> evar_map -> Pp.t
val pr_applicable_hint : unit -> Pp.t
val pr_hint_ref : env -> evar_map -> global_reference -> Pp.t
val pr_hint_db_by_name : env -> evar_map -> hint_db_name -> Pp.t
val pr_hint_db_env : env -> evar_map -> Hint_db.t -> Pp.t
val pr_hint_db : Hint_db.t -> Pp.t
[@@ocaml.deprecated "please used pr_hint_db_env"]
val pr_hint : env -> evar_map -> hint -> Pp.t
(** Hook for changing the initialization of auto *)
val add_hints_init : (unit -> unit) -> unit
|
