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
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
|
(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2012 *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
open Pp
open Errors
open Util
open Names
open Term
open Vars
open Environ
open Globnames
open Nametab
open Evd
open Proof_type
open Refiner
open Pfedit
open Constrextern
open Ppconstr
open Declarations
let emacs_str s =
if !Flags.print_emacs then s else ""
let delayed_emacs_cmd s =
if !Flags.print_emacs then s () else str ""
let get_current_context () =
try Pfedit.get_current_goal_context ()
with e when Logic.catchable_exception e ->
(Evd.empty, Global.env())
(**********************************************************************)
(** Terms *)
(* [goal_concl_style] means that all names of goal/section variables
and all names of rel variables (if any) in the given env and all short
names of global definitions of the current module must be avoided while
printing bound variables.
Otherwise, short names of global definitions are printed qualified
and only names of goal/section variables and rel names that do
_not_ occur in the scope of the binder to be printed are avoided. *)
let pr_constr_core goal_concl_style env sigma t =
pr_constr_expr (extern_constr goal_concl_style env sigma t)
let pr_lconstr_core goal_concl_style env sigma t =
pr_lconstr_expr (extern_constr goal_concl_style env sigma t)
let pr_lconstr_env env = pr_lconstr_core false env
let pr_constr_env env = pr_constr_core false env
let pr_lconstr_goal_style_env env = pr_lconstr_core true env
let pr_constr_goal_style_env env = pr_constr_core true env
let pr_open_lconstr_env env sigma (_,c) = pr_lconstr_env env sigma c
let pr_open_constr_env env sigma (_,c) = pr_constr_env env sigma c
(* NB do not remove the eta-redexes! Global.env() has side-effects... *)
let pr_lconstr t =
let (sigma, env) = get_current_context () in
pr_lconstr_env env sigma t
let pr_constr t =
let (sigma, env) = get_current_context () in
pr_constr_env env sigma t
let pr_open_lconstr (_,c) = pr_lconstr c
let pr_open_constr (_,c) = pr_constr c
let pr_constr_under_binders_env_gen pr env sigma (ids,c) =
(* Warning: clashes can occur with variables of same name in env but *)
(* we also need to preserve the actual names of the patterns *)
(* So what to do? *)
let assums = List.map (fun id -> (Name id,(* dummy *) mkProp)) ids in
pr (Termops.push_rels_assum assums env) sigma c
let pr_constr_under_binders_env = pr_constr_under_binders_env_gen pr_constr_env
let pr_lconstr_under_binders_env = pr_constr_under_binders_env_gen pr_lconstr_env
let pr_constr_under_binders c =
let (sigma, env) = get_current_context () in
pr_constr_under_binders_env env sigma c
let pr_lconstr_under_binders c =
let (sigma, env) = get_current_context () in
pr_lconstr_under_binders_env env sigma c
let pr_type_core goal_concl_style env sigma t =
pr_constr_expr (extern_type goal_concl_style env sigma t)
let pr_ltype_core goal_concl_style env sigma t =
pr_lconstr_expr (extern_type goal_concl_style env sigma t)
let pr_goal_concl_style_env env = pr_ltype_core true env
let pr_ltype_env env = pr_ltype_core false env
let pr_type_env env = pr_type_core false env
let pr_ltype t =
let (sigma, env) = get_current_context () in
pr_ltype_env env sigma t
let pr_type t =
let (sigma, env) = get_current_context () in
pr_type_env env sigma t
let pr_ljudge_env env sigma j =
(pr_lconstr_env env sigma j.uj_val, pr_lconstr_env env sigma j.uj_type)
let pr_ljudge j =
let (sigma, env) = get_current_context () in
pr_ljudge_env env sigma j
let pr_lglob_constr_env env c =
pr_lconstr_expr (extern_glob_constr (Termops.vars_of_env env) c)
let pr_glob_constr_env env c =
pr_constr_expr (extern_glob_constr (Termops.vars_of_env env) c)
let pr_lglob_constr c =
let (sigma, env) = get_current_context () in
pr_lglob_constr_env env c
let pr_glob_constr c =
let (sigma, env) = get_current_context () in
pr_glob_constr_env env c
let pr_lconstr_pattern_env env sigma c =
pr_lconstr_pattern_expr (extern_constr_pattern (Termops.names_of_rel_context env) sigma c)
let pr_constr_pattern_env env sigma c =
pr_constr_pattern_expr (extern_constr_pattern (Termops.names_of_rel_context env) sigma c)
let pr_cases_pattern t =
pr_cases_pattern_expr (extern_cases_pattern Names.Id.Set.empty t)
let pr_lconstr_pattern t =
let (sigma, env) = get_current_context () in
pr_lconstr_pattern_env env sigma t
let pr_constr_pattern t =
let (sigma, env) = get_current_context () in
pr_constr_pattern_env env sigma t
let pr_sort s = pr_glob_sort (extern_sort s)
let _ = Termops.set_print_constr
(fun env t -> pr_lconstr_expr (extern_constr ~lax:true false env Evd.empty t))
let pr_in_comment pr x = str "(* " ++ pr x ++ str " *)"
let pr_univ_cstr (c:Univ.constraints) =
if !Detyping.print_universes && not (Univ.Constraint.is_empty c) then
fnl()++pr_in_comment (fun c -> v 0 (Univ.pr_constraints c)) c
else
mt()
(** Term printers resilient to [Nametab] errors *)
(** When the nametab isn't up-to-date, the term printers above
could raise [Not_found] during [Nametab.shortest_qualid_of_global].
In this case, we build here a fully-qualified name based upon
the kernel modpath and label of constants, and the idents in
the [mutual_inductive_body] for the inductives and constructors
(needs an environment for this). *)
let id_of_global env = function
| ConstRef kn -> Label.to_id (Constant.label kn)
| IndRef (kn,0) -> Label.to_id (MutInd.label kn)
| IndRef (kn,i) ->
(Environ.lookup_mind kn env).mind_packets.(i).mind_typename
| ConstructRef ((kn,i),j) ->
(Environ.lookup_mind kn env).mind_packets.(i).mind_consnames.(j-1)
| VarRef v -> v
let rec dirpath_of_mp = function
| MPfile sl -> sl
| MPbound uid -> DirPath.make [MBId.to_id uid]
| MPdot (mp,l) ->
Libnames.add_dirpath_suffix (dirpath_of_mp mp) (Label.to_id l)
let dirpath_of_global = function
| ConstRef kn -> dirpath_of_mp (Constant.modpath kn)
| IndRef (kn,_) | ConstructRef ((kn,_),_) ->
dirpath_of_mp (MutInd.modpath kn)
| VarRef _ -> DirPath.empty
let qualid_of_global env r =
Libnames.make_qualid (dirpath_of_global r) (id_of_global env r)
let safe_gen f env sigma c =
let orig_extern_ref = Constrextern.get_extern_reference () in
let extern_ref loc vars r =
try orig_extern_ref loc vars r
with e when Errors.noncritical e ->
Libnames.Qualid (loc, qualid_of_global env r)
in
Constrextern.set_extern_reference extern_ref;
try
let p = f env sigma c in
Constrextern.set_extern_reference orig_extern_ref;
p
with e when Errors.noncritical e ->
Constrextern.set_extern_reference orig_extern_ref;
str "??"
let safe_pr_lconstr_env = safe_gen pr_lconstr_env
let safe_pr_constr_env = safe_gen pr_constr_env
let safe_pr_lconstr t =
let (sigma, env) = get_current_context () in
safe_pr_lconstr_env env sigma t
let safe_pr_constr t =
let (sigma, env) = get_current_context () in
safe_pr_constr_env env sigma t
let pr_universe_ctx c =
if !Detyping.print_universes && not (Univ.UContext.is_empty c) then
fnl()++pr_in_comment (fun c -> v 0 (Univ.pr_universe_context c)) c
else
mt()
(**********************************************************************)
(* Global references *)
let pr_global_env = pr_global_env
let pr_global = pr_global_env Id.Set.empty
let pr_puniverses f env (c,u) =
f env c ++
(if !Constrextern.print_universes then
str"(*" ++ Univ.Instance.pr u ++ str"*)"
else mt ())
let pr_constant env cst = pr_global_env (Termops.vars_of_env env) (ConstRef cst)
let pr_existential_key = Evd.pr_existential_key
let pr_existential env sigma ev = pr_lconstr_env env sigma (mkEvar ev)
let pr_inductive env ind = pr_lconstr_env env Evd.empty (mkInd ind)
let pr_constructor env cstr = pr_lconstr_env env Evd.empty (mkConstruct cstr)
let pr_pconstant = pr_puniverses pr_constant
let pr_pinductive = pr_puniverses pr_inductive
let pr_pconstructor = pr_puniverses pr_constructor
let pr_evaluable_reference ref =
pr_global (Tacred.global_of_evaluable_reference ref)
(*let pr_glob_constr t =
pr_lconstr (Constrextern.extern_glob_constr Id.Set.empty t)*)
(*open Pattern
let pr_pattern t = pr_pattern_env (Global.env()) empty_names_context t*)
(**********************************************************************)
(* Contexts and declarations *)
let pr_var_decl_skel pr_id env sigma (id,c,typ) =
let pbody = match c with
| None -> (mt ())
| Some c ->
(* Force evaluation *)
let pb = pr_lconstr_core true env sigma c in
let pb = if isCast c then surround pb else pb in
(str" := " ++ pb ++ cut () ) in
let pt = pr_ltype_core true env sigma typ in
let ptyp = (str" : " ++ pt) in
(pr_id id ++ hov 0 (pbody ++ ptyp))
let pr_var_decl env sigma (id,c,typ) =
pr_var_decl_skel pr_id env sigma (id,c,typ)
let pr_var_list_decl env sigma (l,c,typ) =
hov 0 (pr_var_decl_skel (fun ids -> prlist_with_sep pr_comma pr_id ids) env sigma (l,c,typ))
let pr_rel_decl env sigma (na,c,typ) =
let pbody = match c with
| None -> mt ()
| Some c ->
(* Force evaluation *)
let pb = pr_lconstr_core true env sigma c in
let pb = if isCast c then surround pb else pb in
(str":=" ++ spc () ++ pb ++ spc ()) in
let ptyp = pr_ltype_core true env sigma typ in
match na with
| Anonymous -> hov 0 (str"<>" ++ spc () ++ pbody ++ str":" ++ spc () ++ ptyp)
| Name id -> hov 0 (pr_id id ++ spc () ++ pbody ++ str":" ++ spc () ++ ptyp)
(* Prints out an "env" in a nice format. We print out the
* signature,then a horizontal bar, then the debruijn environment.
* It's printed out from outermost to innermost, so it's readable. *)
(* Prints a signature, all declarations on the same line if possible *)
let pr_named_context_of env sigma =
let make_decl_list env d pps = pr_var_decl env sigma d :: pps in
let psl = List.rev (fold_named_context make_decl_list env ~init:[]) in
hv 0 (prlist_with_sep (fun _ -> ws 2) (fun x -> x) psl)
let pr_named_context env sigma ne_context =
hv 0 (Context.fold_named_context
(fun d pps -> pps ++ ws 2 ++ pr_var_decl env sigma d)
ne_context ~init:(mt ()))
let pr_rel_context env sigma rel_context =
pr_binders (extern_rel_context None env sigma rel_context)
let pr_rel_context_of env sigma =
pr_rel_context env sigma (rel_context env)
(* Prints an env (variables and de Bruijn). Separator: newline *)
let pr_context_unlimited env sigma =
let sign_env =
fold_named_context
(fun env d pps ->
let pidt = pr_var_decl env sigma d in (pps ++ fnl () ++ pidt))
env ~init:(mt ())
in
let db_env =
fold_rel_context
(fun env d pps ->
let pnat = pr_rel_decl env sigma d in (pps ++ fnl () ++ pnat))
env ~init:(mt ())
in
(sign_env ++ db_env)
let pr_ne_context_of header env sigma =
if List.is_empty (Environ.rel_context env) &&
List.is_empty (Environ.named_context env) then (mt ())
else let penv = pr_context_unlimited env sigma in (header ++ penv ++ fnl ())
let pr_context_limit n env sigma =
let named_context = Environ.named_context env in
let lgsign = List.length named_context in
if n >= lgsign then
pr_context_unlimited env sigma
else
let k = lgsign-n in
let _,sign_env =
fold_named_context
(fun env d (i,pps) ->
if i < k then
(i+1, (pps ++str "."))
else
let pidt = pr_var_decl env sigma d in
(i+1, (pps ++ fnl () ++
str (emacs_str "") ++
pidt)))
env ~init:(0,(mt ()))
in
let db_env =
fold_rel_context
(fun env d pps ->
let pnat = pr_rel_decl env sigma d in
(pps ++ fnl () ++
str (emacs_str "") ++
pnat))
env ~init:(mt ())
in
(sign_env ++ db_env)
let pr_context_of env sigma = match Flags.print_hyps_limit () with
| None -> hv 0 (pr_context_unlimited env sigma)
| Some n -> hv 0 (pr_context_limit n env sigma)
(* display goal parts (Proof mode) *)
let pr_predicate pr_elt (b, elts) =
let pr_elts = prlist_with_sep spc pr_elt elts in
if b then
str"all" ++
(if List.is_empty elts then mt () else str" except: " ++ pr_elts)
else
if List.is_empty elts then str"none" else pr_elts
let pr_cpred p = pr_predicate (pr_constant (Global.env())) (Cpred.elements p)
let pr_idpred p = pr_predicate Nameops.pr_id (Id.Pred.elements p)
let pr_transparent_state (ids, csts) =
hv 0 (str"VARIABLES: " ++ pr_idpred ids ++ fnl () ++
str"CONSTANTS: " ++ pr_cpred csts ++ fnl ())
(* display complete goal *)
let default_pr_goal gs =
let (g,sigma) = Goal.V82.nf_evar (project gs) (sig_it gs) in
let env = Goal.V82.env sigma g in
let preamb,thesis,penv,pc =
mt (), mt (),
pr_context_of env sigma,
pr_goal_concl_style_env env sigma (Goal.V82.concl sigma g)
in
preamb ++
str" " ++ hv 0 (penv ++ fnl () ++
str (emacs_str "") ++
str "============================" ++ fnl () ++
thesis ++ str " " ++ pc)
(* display a goal tag *)
let pr_goal_tag g =
let s = " (ID " ^ Goal.uid g ^ ")" in
str (emacs_str s)
let display_name = false
(* display a goal name *)
let pr_goal_name sigma g =
if display_name then str " " ++ Pp.surround (pr_id (Goal.goal_ident sigma g))
else mt ()
(* display the conclusion of a goal *)
let pr_concl n sigma g =
let (g,sigma) = Goal.V82.nf_evar sigma g in
let env = Goal.V82.env sigma g in
let pc = pr_goal_concl_style_env env sigma (Goal.V82.concl sigma g) in
str (emacs_str "") ++
str "subgoal " ++ int n ++ pr_goal_tag g ++ pr_goal_name sigma g ++
str " is:" ++ cut () ++ str" " ++ pc
(* display evar type: a context and a type *)
let pr_evgl_sign sigma evi =
let env = evar_env evi in
let ps = pr_named_context_of env sigma in
let _, l = match Filter.repr (evar_filter evi) with
| None -> [], []
| Some f -> List.filter2 (fun b c -> not b) f (evar_context evi)
in
let ids = List.rev_map pi1 l in
let warn =
if List.is_empty ids then mt () else
(str "(" ++ prlist_with_sep pr_comma pr_id ids ++ str " cannot be used)")
in
let pc = pr_lconstr_env env sigma evi.evar_concl in
hov 0 (str"[" ++ ps ++ spc () ++ str"|- " ++ pc ++ str"]" ++ spc () ++ warn)
(* Print an existential variable *)
let pr_evar sigma (evk, evi) =
let pegl = pr_evgl_sign sigma evi in
hov 0 (pr_existential_key sigma evk ++ str " : " ++ pegl)
(* Print an enumerated list of existential variables *)
let rec pr_evars_int sigma i = function
| [] -> mt ()
| (evk,evi)::rest ->
(hov 0 (str "Existential " ++ int i ++ str " =" ++ spc () ++
pr_evar sigma (evk,evi))) ++
(match rest with [] -> mt () | _ -> fnl () ++ pr_evars_int sigma (i+1) rest)
let pr_evars_int sigma i evs = pr_evars_int sigma i (Evar.Map.bindings evs)
let default_pr_subgoal n sigma =
let rec prrec p = function
| [] -> error "No such goal."
| g::rest ->
if Int.equal p 1 then
let pg = default_pr_goal { sigma=sigma ; it=g; } in
v 0 (str "subgoal " ++ int n ++ pr_goal_tag g ++ pr_goal_name sigma g
++ str " is:" ++ cut () ++ pg)
else
prrec (p-1) rest
in
prrec n
let pr_internal_existential_key ev = str (string_of_existential ev)
let emacs_print_dependent_evars sigma seeds =
let evars () =
let evars = Evarutil.gather_dependent_evars sigma seeds in
let evars =
Evar.Map.fold begin fun e i s ->
let e' = pr_internal_existential_key e in
match i with
| None -> s ++ str" " ++ e' ++ str " open,"
| Some i ->
s ++ str " " ++ e' ++ str " using " ++
Evar.Set.fold begin fun d s ->
pr_internal_existential_key d ++ str " " ++ s
end i (str ",")
end evars (str "")
in
fnl () ++
str "(dependent evars:" ++ evars ++ str ")" ++ fnl ()
in
delayed_emacs_cmd evars
(* Print open subgoals. Checks for uninstantiated existential variables *)
(* spiwack: [seeds] is for printing dependent evars in emacs mode. *)
(* spiwack: [pr_first] is true when the first goal must be singled out
and printed in its entirety. *)
(* courtieu: in emacs mode, even less cases where the first goal is printed
in its entirety *)
let default_pr_subgoals ?(pr_first=true) close_cmd sigma seeds shelf stack goals =
(** Printing functions for the extra informations. *)
let rec print_stack a = function
| [] -> Pp.int a
| b::l -> Pp.int a ++ str"-" ++ print_stack b l
in
let print_unfocused l =
match l with
| [] -> None
| a::l -> Some (str"unfocused: " ++ print_stack a l)
in
let print_shelf l =
match l with
| [] -> None
| _ -> Some (str"shelved: " ++ Pp.int (List.length l))
in
let rec print_comma_separated_list a l =
match l with
| [] -> a
| b::l -> print_comma_separated_list (a++str", "++b) l
in
let print_extra_list l =
match l with
| [] -> Pp.mt ()
| a::l -> Pp.spc () ++ str"(" ++ print_comma_separated_list a l ++ str")"
in
let extra = Option.List.flatten [ print_unfocused stack ; print_shelf shelf ] in
let print_extra = print_extra_list extra in
let focused_if_needed =
let needed = not (CList.is_empty extra) && pr_first in
if needed then str" focused "
else str" " (* non-breakable space *)
in
(** Main function *)
let rec pr_rec n = function
| [] -> (mt ())
| g::rest ->
let pc = pr_concl n sigma g in
let prest = pr_rec (n+1) rest in
(cut () ++ pc ++ prest)
in
let print_multiple_goals g l =
if pr_first then
default_pr_goal { it = g ; sigma = sigma; } ++ fnl () ++
pr_rec 2 l
else
pr_rec 1 (g::l)
in
match goals with
| [] ->
begin
match close_cmd with
Some cmd ->
(str "Subproof completed, now type " ++ str cmd ++
str ".")
| None ->
let exl = Evarutil.non_instantiated sigma in
if Evar.Map.is_empty exl then
(str"No more subgoals."
++ emacs_print_dependent_evars sigma seeds)
else
let pei = pr_evars_int sigma 1 exl in
(str "No more subgoals but non-instantiated existential " ++
str "variables:" ++ fnl () ++ (hov 0 pei)
++ emacs_print_dependent_evars sigma seeds ++ fnl () ++
str "You can use Grab Existential Variables.")
end
| [g] when not !Flags.print_emacs ->
let pg = default_pr_goal { it = g ; sigma = sigma; } in
v 0 (
str "1" ++ focused_if_needed ++ str"subgoal" ++ print_extra
++ pr_goal_tag g ++ pr_goal_name sigma g ++ cut () ++ pg
++ emacs_print_dependent_evars sigma seeds
)
| g1::rest ->
let goals = print_multiple_goals g1 rest in
v 0 (
int(List.length rest+1) ++ focused_if_needed ++ str"subgoals" ++
print_extra ++
str ((if display_name then (fun x -> x) else emacs_str) ", subgoal 1")
++ pr_goal_tag g1
++ pr_goal_name sigma g1 ++ cut ()
++ goals
++ emacs_print_dependent_evars sigma seeds
)
(**********************************************************************)
(* Abstraction layer *)
type printer_pr = {
pr_subgoals : ?pr_first:bool -> string option -> evar_map -> evar list -> Goal.goal list -> int list -> goal list -> std_ppcmds;
pr_subgoal : int -> evar_map -> goal list -> std_ppcmds;
pr_goal : goal sigma -> std_ppcmds;
}
let default_printer_pr = {
pr_subgoals = default_pr_subgoals;
pr_subgoal = default_pr_subgoal;
pr_goal = default_pr_goal;
}
let printer_pr = ref default_printer_pr
let set_printer_pr = (:=) printer_pr
let pr_subgoals ?pr_first x = !printer_pr.pr_subgoals ?pr_first x
let pr_subgoal x = !printer_pr.pr_subgoal x
let pr_goal x = !printer_pr.pr_goal x
(* End abstraction layer *)
(**********************************************************************)
let pr_open_subgoals ?(proof=Proof_global.give_me_the_proof ()) () =
(* spiwack: it shouldn't be the job of the printer to look up stuff
in the [evar_map], I did stuff that way because it was more
straightforward, but seriously, [Proof.proof] should return
[evar_info]-s instead. *)
let p = proof in
let (goals , stack , shelf, given_up, sigma ) = Proof.proof p in
let stack = List.map (fun (l,r) -> List.length l + List.length r) stack in
let seeds = Proof.V82.top_evars p in
begin match goals with
| [] -> let { Evd.it = bgoals ; sigma = bsigma } = Proof.V82.background_subgoals p in
begin match bgoals,shelf,given_up with
| [] , [] , [] -> pr_subgoals None sigma seeds shelf stack goals
| [] , [] , _ ->
(* emacs mode: xml-like flag for detecting information message *)
str (emacs_str "<infomsg>") ++
str "No more goals, however there are goals you gave up. You need to go back and solve them."
++ str (emacs_str "</infomsg>")
++ fnl () ++ fnl ()
++ pr_subgoals ~pr_first:false None bsigma seeds [] [] given_up
| [] , _ , _ ->
(* emacs mode: xml-like flag for detecting information message *)
str (emacs_str "<infomsg>") ++
str "All the remaining goals are on the shelf."
++ str (emacs_str "</infomsg>")
++ fnl () ++ fnl ()
++ pr_subgoals ~pr_first:false None bsigma seeds [] [] shelf
| _ , _, _ ->
str "This subproof is complete, but there are still unfocused goals."
++ fnl () ++ fnl ()
++ pr_subgoals ~pr_first:false None bsigma seeds shelf [] bgoals
end
| _ -> pr_subgoals None sigma seeds shelf stack goals
end
let pr_nth_open_subgoal n =
let pf = get_pftreestate () in
let { it=gls ; sigma=sigma } = Proof.V82.subgoals pf in
pr_subgoal n sigma gls
let pr_goal_by_id id =
let p = Proof_global.give_me_the_proof () in
let g = Goal.get_by_uid id in
let pr gs =
v 0 (str ("goal / evar " ^ id ^ " is:") ++ cut ()
++ pr_goal gs)
in
try
Proof.in_proof p (fun sigma -> pr {it=g;sigma=sigma;})
with Not_found -> error "Invalid goal identifier."
(* Elementary tactics *)
let pr_prim_rule = function
| Intro id ->
str"intro " ++ pr_id id
| Cut (b,replace,id,t) ->
if b then
(* TODO: express "replace" *)
(str"assert " ++ str"(" ++ pr_id id ++ str":" ++ pr_lconstr t ++ str")")
else
let cl = if replace then str"clear " ++ pr_id id ++ str"; " else mt() in
(str"cut " ++ pr_constr t ++
str ";[" ++ cl ++ str"intro " ++ pr_id id ++ str"|idtac]")
| FixRule (f,n,[],_) ->
(str"fix " ++ pr_id f ++ str"/" ++ int n)
| FixRule (f,n,others,j) ->
if not (Int.equal j 0) then msg_warning (strbrk "Unsupported printing of \"fix\"");
let rec print_mut = function
| (f,n,ar)::oth ->
pr_id f ++ str"/" ++ int n ++ str" : " ++ pr_lconstr ar ++ print_mut oth
| [] -> mt () in
(str"fix " ++ pr_id f ++ str"/" ++ int n ++
str" with " ++ print_mut others)
| Cofix (f,[],_) ->
(str"cofix " ++ pr_id f)
| Cofix (f,others,j) ->
if not (Int.equal j 0) then msg_warning (strbrk "Unsupported printing of \"fix\"");
let rec print_mut = function
| (f,ar)::oth ->
(pr_id f ++ str" : " ++ pr_lconstr ar ++ print_mut oth)
| [] -> mt () in
(str"cofix " ++ pr_id f ++ str" with " ++ print_mut others)
| Refine c ->
str(if Termops.occur_meta c then "refine " else "exact ") ++
Constrextern.with_meta_as_hole pr_constr c
| Convert_concl (c,_) ->
(str"change " ++ pr_constr c)
| Convert_hyp (id,None,t) ->
(str"change " ++ pr_constr t ++ spc () ++ str"in " ++ pr_id id)
| Convert_hyp (id,Some c,t) ->
(str"change " ++ pr_constr c ++ spc () ++ str"in "
++ pr_id id ++ str" (type of " ++ pr_id id ++ str ")")
| Thin ids ->
(str"clear " ++ pr_sequence pr_id ids)
| Move (withdep,id1,id2) ->
(str (if withdep then "dependent " else "") ++
str"move " ++ pr_id id1 ++ Miscprint.pr_move_location pr_id id2)
| Rename (id1,id2) ->
(str "rename " ++ pr_id id1 ++ str " into " ++ pr_id id2)
(* Backwards compatibility *)
let prterm = pr_lconstr
(* Printer function for sets of Assumptions.assumptions.
It is used primarily by the Print Assumptions command. *)
open Assumptions
let pr_assumptionset env s =
if ContextObjectMap.is_empty s then
str "Closed under the global context"
else
let safe_pr_constant env kn =
try pr_constant env kn
with Not_found ->
let mp,_,lab = repr_con kn in
str (string_of_mp mp ^ "." ^ Label.to_string lab)
in
let safe_pr_ltype typ =
try str " : " ++ pr_ltype typ
with e when Errors.noncritical e -> mt ()
in
let fold t typ accu =
let (v, a, o, tr) = accu in
match t with
| Variable id ->
let var = str (Id.to_string id) ++ str " : " ++ pr_ltype typ in
(var :: v, a, o, tr)
| Axiom kn ->
let ax = safe_pr_constant env kn ++ safe_pr_ltype typ in
(v, ax :: a, o, tr)
| Opaque kn ->
let opq = safe_pr_constant env kn ++ safe_pr_ltype typ in
(v, a, opq :: o, tr)
| Transparent kn ->
let tran = safe_pr_constant env kn ++ safe_pr_ltype typ in
(v, a, o, tran :: tr)
in
let (vars, axioms, opaque, trans) =
ContextObjectMap.fold fold s ([], [], [], [])
in
let opt_list title = function
| [] -> None
| l ->
let section =
title ++ fnl () ++
v 0 (prlist_with_sep fnl (fun s -> s) l) in
Some section
in
let assums = [
opt_list (str "Transparent constants:") trans;
opt_list (str "Section Variables:") vars;
opt_list (str "Axioms:") axioms;
opt_list (str "Opaque constants:") opaque;
] in
prlist_with_sep fnl (fun x -> x) (Option.List.flatten assums)
let xor a b =
(a && not b) || (not a && b)
let pr_polymorphic b =
let print = xor (Flags.is_universe_polymorphism ()) b in
if print then
if b then str"Polymorphic " else str"Monomorphic "
else mt ()
(** Inductive declarations *)
open Termops
open Reduction
let print_params env sigma params =
if List.is_empty params then mt ()
else pr_rel_context env sigma params ++ brk(1,2)
let print_constructors envpar names types =
let pc =
prlist_with_sep (fun () -> brk(1,0) ++ str "| ")
(fun (id,c) -> pr_id id ++ str " : " ++ pr_lconstr_env envpar Evd.empty c)
(Array.to_list (Array.map2 (fun n t -> (n,t)) names types))
in
hv 0 (str " " ++ pc)
let build_ind_type env mip =
Inductive.type_of_inductive env mip
let print_one_inductive env mib ((_,i) as ind) =
let u = if mib.mind_polymorphic then
Univ.UContext.instance mib.mind_universes
else Univ.Instance.empty in
let mip = mib.mind_packets.(i) in
let params = Inductive.inductive_paramdecls (mib,u) in
let args = extended_rel_list 0 params in
let arity = hnf_prod_applist env (build_ind_type env ((mib,mip),u)) args in
let cstrtypes = Inductive.type_of_constructors (ind,u) (mib,mip) in
let cstrtypes = Array.map (fun c -> hnf_prod_applist env c args) cstrtypes in
let envpar = push_rel_context params env in
hov 0 (
pr_id mip.mind_typename ++ brk(1,4) ++ print_params env Evd.empty params ++
str ": " ++ pr_lconstr_env envpar Evd.empty arity ++ str " :=") ++
brk(0,2) ++ print_constructors envpar mip.mind_consnames cstrtypes
let print_mutual_inductive env mind mib =
let inds = List.init (Array.length mib.mind_packets) (fun x -> (mind, x))
in
let keyword =
let open Decl_kinds in
match mib.mind_finite with
| Finite -> "Inductive "
| BiFinite -> "Variant "
| CoFinite -> "CoInductive "
in
hov 0 (pr_polymorphic mib.mind_polymorphic ++
str keyword ++
prlist_with_sep (fun () -> fnl () ++ str" with ")
(print_one_inductive env mib) inds ++
pr_universe_ctx (Univ.instantiate_univ_context mib.mind_universes))
let get_fields =
let rec prodec_rec l subst c =
match kind_of_term c with
| Prod (na,t,c) ->
let id = match na with Name id -> id | Anonymous -> Id.of_string "_" in
prodec_rec ((id,true,substl subst t)::l) (mkVar id::subst) c
| LetIn (na,b,_,c) ->
let id = match na with Name id -> id | Anonymous -> Id.of_string "_" in
prodec_rec ((id,false,substl subst b)::l) (mkVar id::subst) c
| _ -> List.rev l
in
prodec_rec [] []
let print_record env mind mib =
let u =
if mib.mind_polymorphic then
Univ.UContext.instance mib.mind_universes
else Univ.Instance.empty
in
let mip = mib.mind_packets.(0) in
let params = Inductive.inductive_paramdecls (mib,u) in
let args = extended_rel_list 0 params in
let arity = hnf_prod_applist env (build_ind_type env ((mib,mip),u)) args in
let cstrtypes = Inductive.type_of_constructors ((mind,0),u) (mib,mip) in
let cstrtype = hnf_prod_applist env cstrtypes.(0) args in
let fields = get_fields cstrtype in
let envpar = push_rel_context params env in
let keyword =
let open Decl_kinds in
match mib.mind_finite with
| BiFinite -> "Record "
| Finite -> "Inductive "
| CoFinite -> "CoInductive "
in
hov 0 (
hov 0 (
pr_polymorphic mib.mind_polymorphic ++
str keyword ++ pr_id mip.mind_typename ++ brk(1,4) ++
print_params env Evd.empty params ++
str ": " ++ pr_lconstr_env envpar Evd.empty arity ++ brk(1,2) ++
str ":= " ++ pr_id mip.mind_consnames.(0)) ++
brk(1,2) ++
hv 2 (str "{ " ++
prlist_with_sep (fun () -> str ";" ++ brk(2,0))
(fun (id,b,c) ->
pr_id id ++ str (if b then " : " else " := ") ++
pr_lconstr_env envpar Evd.empty c) fields) ++ str" }" ++
pr_universe_ctx (Univ.instantiate_univ_context mib.mind_universes))
let pr_mutual_inductive_body env mind mib =
if mib.mind_record <> None && not !Flags.raw_print then
print_record env mind mib
else
print_mutual_inductive env mind mib
|