-
Notifications
You must be signed in to change notification settings - Fork 632
/
fullGrammar
3357 lines (2863 loc) · 71 KB
/
fullGrammar
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
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
(* Coq grammar generated from .mlg files. Do not edit by hand. Not compiled into Coq *)
DOC_GRAMMAR
Constr.ident: [
| Prim.ident
]
Prim.name: [
| "_"
]
global: [
| Prim.reference
]
constr_pattern: [
| constr
]
cpattern: [
| lconstr
]
sort: [
| "Set"
| "Prop"
| "SProp"
| "Type"
| "Type" "@{" "_" "}"
| "Type" "@{" test_sort_qvar reference "|" universe "}"
| "Type" "@{" universe "}"
]
sort_family: [
| "Set"
| "Prop"
| "SProp"
| "Type"
]
universe_increment: [
| "+" natural
|
]
universe_name: [
| global
| "Set"
| "Prop"
]
universe_expr: [
| universe_name universe_increment
]
universe: [
| "max" "(" LIST1 universe_expr SEP "," ")"
| universe_expr
]
lconstr: [
| term200
]
constr: [
| term8
| "@" global univ_annot
]
term200: [
| term100
]
term100: [
| term99 "<:" term200
| term99 "<<:" term200
| term99 ":>" term200
| term99 ":" term200
| term99
]
term99: [
| term90
]
term90: [
| term10
]
term10: [
| term9 LIST1 arg
| "@" global univ_annot LIST0 term9
| "@" pattern_ident LIST1 identref
| binder_constr
| term9
]
term9: [
| ".." term0 ".."
| term8
]
term8: [
| term1
]
term1: [
| term0 ".(" global univ_annot LIST0 arg ")"
| term0 ".(" "@" global univ_annot LIST0 ( term9 ) ")"
| term0 "%" IDENT
| term0 "%_" IDENT
| term0
]
term0: [
| atomic_constr
| term_match
| ident Prim.fields univ_annot
| ident univ_annot
| NUMBER
| string
| "(" term200 ")"
| "{|" record_declaration bar_cbrace
| "`{" term200 "}"
| test_array_opening "[" "|" array_elems "|" lconstr type_cstr test_array_closing "|" "]" univ_annot
| "`(" term200 ")"
| "ltac" ":" "(" Pltac.ltac_expr ")"
]
array_elems: [
| LIST0 lconstr SEP ";"
]
record_declaration: [
| fields_def
]
fields_def: [
| field_def ";" fields_def
| field_def
|
]
field_def: [
| global binders ":=" lconstr
]
binder_constr: [
| "forall" open_binders "," term200
| "fun" open_binders "=>" term200
| "let" name binders let_type_cstr ":=" term200 "in" term200
| "let" "fix" fix_decl "in" term200
| "let" "cofix" cofix_body "in" term200
| "let" [ "(" LIST0 name SEP "," ")" | "()" ] as_return_type ":=" term200 "in" term200
| "let" "'" pattern200 ":=" term200 "in" term200
| "let" "'" pattern200 ":=" term200 case_type "in" term200
| "let" "'" pattern200 "in" pattern200 ":=" term200 case_type "in" term200
| "if" term200 as_return_type "then" term200 "else" term200
| "fix" fix_decls
| "cofix" cofix_decls
]
arg: [
| test_lpar_id_coloneq "(" identref ":=" lconstr ")"
| test_lpar_nat_coloneq "(" natural ":=" lconstr ")"
| term9
]
atomic_constr: [
| sort
| "_"
| "?" "[" identref "]"
| "?" "[" pattern_ident "]"
| pattern_ident evar_instance
]
inst: [
| identref ":=" lconstr
]
evar_instance: [
| "@{" LIST1 inst SEP ";" "}"
|
]
univ_annot: [
| "@{" LIST0 univ_level_or_quality OPT [ "|" LIST0 univ_level_or_quality ] "}"
|
]
univ_level_or_quality: [
| "Set"
| "SProp"
| "Prop"
| "Type"
| "_"
| global
]
fix_decls: [
| fix_decl
| fix_decl "with" LIST1 fix_decl SEP "with" "for" identref
]
cofix_decls: [
| cofix_body
| cofix_body "with" LIST1 cofix_body SEP "with" "for" identref
]
fix_decl: [
| identref binders_fixannot type_cstr ":=" term200
]
cofix_body: [
| identref binders type_cstr ":=" term200
]
term_match: [
| "match" LIST1 case_item SEP "," OPT case_type "with" branches "end"
]
case_item: [
| term100 OPT [ "as" name ] OPT [ "in" pattern200 ]
]
case_type: [
| "return" term100
]
as_return_type: [
| OPT [ OPT [ "as" name ] case_type ]
]
branches: [
| OPT "|" LIST0 eqn SEP "|"
]
mult_pattern: [
| LIST1 pattern200 SEP ","
]
eqn: [
| LIST1 mult_pattern SEP "|" "=>" lconstr
]
record_pattern: [
| global ":=" pattern200
]
record_patterns: [
| record_pattern ";" record_patterns
| record_pattern
|
]
pattern200: [
| pattern100
]
pattern100: [
| pattern99 ":" term200
| pattern99
]
pattern99: [
| pattern90
]
pattern90: [
| pattern10
]
pattern10: [
| pattern1 "as" name
| pattern1 LIST1 pattern1
| "@" Prim.reference LIST0 pattern1
| pattern1
]
pattern1: [
| pattern0 "%" IDENT
| pattern0 "%_" IDENT
| pattern0
]
pattern0: [
| Prim.reference
| "{|" record_patterns bar_cbrace
| "_"
| "(" pattern200 ")"
| "(" pattern200 "|" LIST1 pattern200 SEP "|" ")"
| NUMBER
| string
]
fixannot: [
| "{" "struct" identref "}"
| "{" "wf" constr identref "}"
| "{" "measure" constr OPT identref OPT constr "}"
]
binders_fixannot: [
| ensure_fixannot fixannot
| binder binders_fixannot
|
]
open_binders: [
| name LIST0 name ":" lconstr
| name LIST0 name binders
| name ".." name
| closed_binder binders
]
binders: [
| LIST0 binder
| Pcoq.Constr.binders
]
binder: [
| name
| closed_binder
]
closed_binder: [
| "(" name LIST1 name ":" lconstr ")"
| "(" name ":" lconstr ")"
| "(" name ":=" lconstr ")"
| "(" name ":" lconstr ":=" lconstr ")"
| "{" name "}"
| "{" name LIST1 name ":" lconstr "}"
| "{" name ":" lconstr "}"
| "{" name LIST1 name "}"
| "[" name "]"
| "[" name LIST1 name ":" lconstr "]"
| "[" name ":" lconstr "]"
| "[" name LIST1 name "]"
| "`(" LIST1 typeclass_constraint SEP "," ")"
| "`{" LIST1 typeclass_constraint SEP "," "}"
| "`[" LIST1 typeclass_constraint SEP "," "]"
| "'" pattern0
]
one_open_binder: [
| name
| name ":" lconstr
| one_closed_binder
]
one_closed_binder: [
| "(" name ":" lconstr ")"
| "{" name "}"
| "{" name ":" lconstr "}"
| "[" name "]"
| "[" name ":" lconstr "]"
| "'" pattern0
]
typeclass_constraint: [
| "!" term200
| "{" name "}" ":" [ "!" | ] term200
| test_name_colon name ":" [ "!" | ] term200
| term200
]
type_cstr: [
| ":" lconstr
|
]
let_type_cstr: [
| OPT [ ":" lconstr ]
]
preident: [
| IDENT
]
ident: [
| IDENT
]
pattern_ident: [
| LEFTQMARK ident
]
identref: [
| ident
]
hyp: [
| identref
]
field: [
| FIELD
]
fields: [
| field fields
| field
]
fullyqualid: [
| ident fields
| ident
]
name: [
| "_"
| ident
]
reference: [
| ident fields
| ident
]
qualid: [
| reference
]
by_notation: [
| ne_string OPT [ "%" IDENT ]
]
smart_global: [
| reference
| by_notation
]
ne_string: [
| STRING
]
ne_lstring: [
| ne_string
]
dirpath: [
| ident LIST0 field
]
string: [
| STRING
]
lstring: [
| string
]
integer: [
| bigint
]
natural: [
| bignat
]
bigint: [
| bignat
| test_minus_nat "-" bignat
]
bignat: [
| NUMBER
]
bar_cbrace: [
| test_pipe_closedcurly "|" "}"
]
strategy_level: [
| "expand"
| "opaque"
| integer
| "transparent"
]
vernac_toplevel: [
| "Drop" "."
| "Quit" "."
| "BackTo" natural "."
| test_show_goal "Show" "Goal" natural "at" natural "."
| "Show" "Proof" "Diffs" OPT "removed" "."
| Pvernac.Vernac_.main_entry
]
opt_hintbases: [
|
| ":" LIST1 IDENT
]
command: [
| "Goal" lconstr
| "Proof"
| "Proof" "using" G_vernac.section_subset_expr
| "Proof" "Mode" string
| "Proof" lconstr
| "Abort"
| "Abort" "All"
| "Admitted"
| "Qed"
| "Save" identref
| "Defined"
| "Defined" identref
| "Restart"
| "Undo"
| "Undo" natural
| "Undo" "To" natural
| "Focus"
| "Focus" natural
| "Unfocus"
| "Unfocused"
| "Show"
| "Show" natural
| "Show" ident
| "Show" "Existentials"
| "Show" "Universes"
| "Show" "Conjectures"
| "Show" "Proof"
| "Show" "Intro"
| "Show" "Intros"
| "Show" "Match" reference
| "Guarded"
| "Validate" "Proof"
| "Create" "HintDb" IDENT; [ "discriminated" | ]
| "Remove" "Hints" LIST1 global opt_hintbases
| "Hint" hint opt_hintbases
| "Comments" LIST0 comment
| "Attributes" attribute_list
| "Declare" "Instance" ident_decl binders ":" term200 hint_info
| "Declare" "Scope" IDENT
| "Pwd"
| "Cd"
| "Cd" ne_string
| "Load" [ "Verbose" | ] [ ne_string | IDENT ]
| "Declare" "ML" "Module" LIST1 ne_string
| "Locate" locatable
| "Type" lconstr
| "Print" printable
| "Print" smart_global OPT univ_name_list
| "Print" "Module" "Type" global
| "Print" "Module" global
| "Print" "Namespace" dirpath
| "Inspect" natural
| "Set" setting_name option_setting
| "Unset" setting_name
| "Print" "Table" setting_name
| "Add" IDENT IDENT LIST1 table_value
| "Add" IDENT LIST1 table_value
| "Test" setting_name "for" LIST1 table_value
| "Test" setting_name
| "Remove" IDENT IDENT LIST1 table_value
| "Remove" IDENT LIST1 table_value
| "Reset" "Initial"
| "Reset" identref
| "Back"
| "Back" natural
| "Debug" "On"
| "Debug" "Off"
| "Declare" "Reduction" IDENT; ":=" red_expr
| "Declare" "Custom" "Entry" IDENT
| "Derive" identref "SuchThat" constr "As" identref (* derive plugin *)
| "Extraction" global (* extraction plugin *)
| "Recursive" "Extraction" LIST1 global (* extraction plugin *)
| "Extraction" string LIST1 global (* extraction plugin *)
| "Extraction" "TestCompile" LIST1 global (* extraction plugin *)
| "Separate" "Extraction" LIST1 global (* extraction plugin *)
| "Extraction" "Library" identref (* extraction plugin *)
| "Recursive" "Extraction" "Library" identref (* extraction plugin *)
| "Extraction" "Language" language (* extraction plugin *)
| "Extraction" "Inline" LIST1 global (* extraction plugin *)
| "Extraction" "NoInline" LIST1 global (* extraction plugin *)
| "Print" "Extraction" "Inline" (* extraction plugin *)
| "Reset" "Extraction" "Inline" (* extraction plugin *)
| "Extraction" "Implicit" global "[" LIST0 int_or_id "]" (* extraction plugin *)
| "Extraction" "Blacklist" LIST1 preident (* extraction plugin *)
| "Print" "Extraction" "Blacklist" (* extraction plugin *)
| "Reset" "Extraction" "Blacklist" (* extraction plugin *)
| "Extract" "Constant" global LIST0 string "=>" mlname (* extraction plugin *)
| "Extract" "Inlined" "Constant" global "=>" mlname (* extraction plugin *)
| "Extract" "Inductive" global "=>" mlname "[" LIST0 mlname "]" OPT string (* extraction plugin *)
| "Show" "Extraction" (* extraction plugin *)
| "Set" "Firstorder" "Solver" tactic
| "Print" "Firstorder" "Solver"
| "Function" LIST1 function_fix_definition SEP "with" (* funind plugin *)
| "Functional" "Scheme" LIST1 fun_scheme_arg SEP "with" (* funind plugin *)
| "Functional" "Case" fun_scheme_arg (* funind plugin *)
| "Generate" "graph" "for" reference (* funind plugin *)
| "Hint" "Rewrite" orient LIST1 constr ":" LIST0 preident
| "Hint" "Rewrite" orient LIST1 constr "using" tactic ":" LIST0 preident
| "Hint" "Rewrite" orient LIST1 constr
| "Hint" "Rewrite" orient LIST1 constr "using" tactic
| "Derive" "Inversion_clear" ident "with" constr "Sort" sort_family
| "Derive" "Inversion_clear" ident "with" constr
| "Derive" "Inversion" ident "with" constr "Sort" sort_family
| "Derive" "Inversion" ident "with" constr
| "Derive" "Dependent" "Inversion" ident "with" constr "Sort" sort_family
| "Derive" "Dependent" "Inversion_clear" ident "with" constr "Sort" sort_family
| "Declare" "Left" "Step" constr
| "Declare" "Right" "Step" constr
| "Unshelve"
| "Declare" "Equivalent" "Keys" constr constr
| "Print" "Equivalent" "Keys"
| "Optimize" "Proof"
| "Optimize" "Heap"
| "infoH" tactic
| "Hint" "Cut" "[" hints_path "]" opthints
| "Typeclasses" "Transparent" LIST1 reference
| "Typeclasses" "Opaque" LIST1 reference
| "Typeclasses" "eauto" ":=" debug eauto_search_strategy OPT natural
| "Proof" "with" Pltac.tactic OPT [ "using" G_vernac.section_subset_expr ]
| "Proof" "using" G_vernac.section_subset_expr "with" Pltac.tactic
| "Tactic" "Notation" OPT ltac_tactic_level LIST1 ltac_production_item ":=" tactic
| "Print" "Ltac" reference
| "Locate" "Ltac" reference
| "Ltac" LIST1 ltac_tacdef_body SEP "with"
| "Print" "Ltac" "Signatures"
| "Obligation" natural "of" identref ":" lglob withtac
| "Obligation" natural "of" identref withtac
| "Obligation" natural ":" lglob withtac
| "Obligation" natural withtac
| "Next" "Obligation" "of" identref withtac
| "Next" "Obligation" withtac
| "Final" "Obligation" "of" identref withtac
| "Final" "Obligation" withtac
| "Solve" "Obligations" "of" identref "with" tactic
| "Solve" "Obligations" "of" identref
| "Solve" "Obligations" "with" tactic
| "Solve" "Obligations"
| "Solve" "All" "Obligations" "with" tactic
| "Solve" "All" "Obligations"
| "Admit" "Obligations" "of" identref
| "Admit" "Obligations"
| "Obligation" "Tactic" ":=" tactic
| "Show" "Obligation" "Tactic"
| "Obligations" "of" identref
| "Obligations"
| "Preterm" "of" identref
| "Preterm"
| "Add" "Relation" constr constr "reflexivity" "proved" "by" constr "symmetry" "proved" "by" constr "as" identref
| "Add" "Relation" constr constr "reflexivity" "proved" "by" constr "as" identref
| "Add" "Relation" constr constr "as" identref
| "Add" "Relation" constr constr "symmetry" "proved" "by" constr "as" identref
| "Add" "Relation" constr constr "symmetry" "proved" "by" constr "transitivity" "proved" "by" constr "as" identref
| "Add" "Relation" constr constr "reflexivity" "proved" "by" constr "transitivity" "proved" "by" constr "as" identref
| "Add" "Relation" constr constr "reflexivity" "proved" "by" constr "symmetry" "proved" "by" constr "transitivity" "proved" "by" constr "as" identref
| "Add" "Relation" constr constr "transitivity" "proved" "by" constr "as" identref
| "Add" "Parametric" "Relation" binders ":" constr constr "reflexivity" "proved" "by" constr "symmetry" "proved" "by" constr "as" identref
| "Add" "Parametric" "Relation" binders ":" constr constr "reflexivity" "proved" "by" constr "as" identref
| "Add" "Parametric" "Relation" binders ":" constr constr "as" identref
| "Add" "Parametric" "Relation" binders ":" constr constr "symmetry" "proved" "by" constr "as" identref
| "Add" "Parametric" "Relation" binders ":" constr constr "symmetry" "proved" "by" constr "transitivity" "proved" "by" constr "as" identref
| "Add" "Parametric" "Relation" binders ":" constr constr "reflexivity" "proved" "by" constr "transitivity" "proved" "by" constr "as" identref
| "Add" "Parametric" "Relation" binders ":" constr constr "reflexivity" "proved" "by" constr "symmetry" "proved" "by" constr "transitivity" "proved" "by" constr "as" identref
| "Add" "Parametric" "Relation" binders ":" constr constr "transitivity" "proved" "by" constr "as" identref
| "Add" "Setoid" constr constr constr "as" identref
| "Add" "Parametric" "Setoid" binders ":" constr constr constr "as" identref
| "Add" "Morphism" constr ":" identref
| "Declare" "Morphism" constr ":" identref
| "Add" "Morphism" constr "with" "signature" lconstr "as" identref
| "Add" "Parametric" "Morphism" binders ":" constr "with" "signature" lconstr "as" identref
| "Print" "Rewrite" "HintDb" preident
| "Reset" "Ltac" "Profile"
| "Show" "Ltac" "Profile"
| "Show" "Ltac" "Profile" "CutOff" integer
| "Show" "Ltac" "Profile" string
| "Show" "Lia" "Profile" (* micromega plugin *)
| "Add" "Zify" "InjTyp" reference (* micromega plugin *)
| "Add" "Zify" "BinOp" reference (* micromega plugin *)
| "Add" "Zify" "UnOp" reference (* micromega plugin *)
| "Add" "Zify" "CstOp" reference (* micromega plugin *)
| "Add" "Zify" "BinRel" reference (* micromega plugin *)
| "Add" "Zify" "PropOp" reference (* micromega plugin *)
| "Add" "Zify" "PropBinOp" reference (* micromega plugin *)
| "Add" "Zify" "PropUOp" reference (* micromega plugin *)
| "Add" "Zify" "BinOpSpec" reference (* micromega plugin *)
| "Add" "Zify" "UnOpSpec" reference (* micromega plugin *)
| "Add" "Zify" "Saturate" reference (* micromega plugin *)
| "Show" "Zify" "InjTyp" (* micromega plugin *)
| "Show" "Zify" "BinOp" (* micromega plugin *)
| "Show" "Zify" "UnOp" (* micromega plugin *)
| "Show" "Zify" "CstOp" (* micromega plugin *)
| "Show" "Zify" "BinRel" (* micromega plugin *)
| "Show" "Zify" "UnOpSpec" (* micromega plugin *)
| "Show" "Zify" "BinOpSpec" (* micromega plugin *)
| "Add" "Ring" identref ":" constr OPT ring_mods (* ring plugin *)
| "Print" "Rings" (* ring plugin *)
| "Add" "Field" identref ":" constr OPT field_mods (* ring plugin *)
| "Print" "Fields" (* ring plugin *)
| "Number" "Notation" reference reference reference OPT number_options ":" preident
| "String" "Notation" reference reference reference OPT string_option ":" preident
| "Ltac2" ltac2_entry (* ltac2 plugin *)
| "Ltac2" "Notation" ltac2def_syn (* ltac2 plugin *)
| "Ltac2" "Eval" ltac2_expr6 (* ltac2 plugin *)
| "Print" "Ltac2" reference (* ltac2 plugin *)
| "Print" "Ltac2" "Type" reference (* ltac2 plugin *)
| "Locate" "Ltac2" reference (* ltac2 plugin *)
| "Print" "Ltac2" "Signatures" (* ltac2 plugin *)
| "Ltac2" "Check" ltac2_expr6 (* ltac2 plugin *)
| "Ltac2" "Globalize" ltac2_expr6 (* ltac2 plugin *)
]
reference_or_constr: [
| global
| constr
]
hint: [
| "Resolve" LIST1 reference_or_constr hint_info
| "Resolve" "->" LIST1 global OPT natural
| "Resolve" "<-" LIST1 global OPT natural
| "Immediate" LIST1 reference_or_constr
| "Variables" "Transparent"
| "Variables" "Opaque"
| "Constants" "Transparent"
| "Constants" "Opaque"
| "Transparent" LIST1 global
| "Opaque" LIST1 global
| "Mode" global mode
| "Unfold" LIST1 global
| "Constructors" LIST1 global
| "Extern" natural OPT Constr.constr_pattern "=>" Pltac.tactic
]
constr_body: [
| ":=" lconstr
| ":" lconstr ":=" lconstr
]
mode: [
| LIST1 [ "+" | "!" | "-" ]
]
vernac_control: [
| "Time" vernac_control
| "Instructions" vernac_control
| "Redirect" ne_string vernac_control
| "Timeout" natural vernac_control
| "Fail" vernac_control
| "Succeed" vernac_control
| decorated_vernac
]
decorated_vernac: [
| quoted_attributes vernac
]
quoted_attributes: [
| LIST0 [ "#[" attribute_list "]" ]
]
attribute_list: [
| LIST1 attribute SEP ","
]
attribute: [
| ident attr_value
| "using" attr_value
]
attr_value: [
| "=" string
| "=" IDENT
| "(" attribute_list ")"
|
]
legacy_attr: [
| "Local"
| "Global"
| "Polymorphic"
| "Monomorphic"
| "Cumulative"
| "NonCumulative"
| "Private"
| "Program"
]
vernac: [
| LIST0 legacy_attr vernac_aux
]
vernac_aux: [
| gallina "."
| gallina_ext "."
| command "."
| syntax "."
| command_entry
]
noedit_mode: [
| query_command
]
subprf: [
| BULLET
| "}"
]
subprf_with_selector: [
| "{"
| query_command
]
gallina: [
| thm_token ident_decl binders ":" lconstr LIST0 [ "with" ident_decl binders ":" lconstr ]
| assumption_token inline assum_list
| assumptions_token inline assum_list
| def_token ident_decl def_body
| "Symbol" assum_list
| "Symbols" assum_list
| "Let" ident_decl def_body
| finite_token inductive_or_record_definition
| inductive_token LIST1 inductive_or_record_definition SEP "with"
| "Fixpoint" LIST1 fix_definition SEP "with"
| "Let" "Fixpoint" LIST1 fix_definition SEP "with"
| "CoFixpoint" LIST1 cofix_definition SEP "with"
| "Let" "CoFixpoint" LIST1 cofix_definition SEP "with"
| "Scheme" LIST1 scheme SEP "with"
| "Scheme" "Equality" "for" smart_global
| "Scheme" "Boolean" "Equality" "for" smart_global
| "Combined" "Scheme" identref "from" LIST1 identref SEP ","
| "Register" global "as" qualid
| "Register" "Inline" global
| "Primitive" ident_decl OPT [ ":" lconstr ] ":=" register_token
| "Universe" LIST1 identref
| "Universes" LIST1 identref
| "Constraint" LIST1 univ_constraint SEP ","
| "Rewrite" "Rule" identref ":=" OPT "|" LIST1 rewrite_rule SEP "|"
| "Rewrite" "Rules" identref ":=" OPT "|" LIST1 rewrite_rule SEP "|"
]
register_token: [
| test_hash_ident "#" IDENT
]
thm_token: [
| "Theorem"
| "Lemma"
| "Fact"
| "Remark"
| "Corollary"
| "Proposition"
| "Property"
]
def_token: [
| "Definition"
| "Example"
| "SubClass"
]
assumption_token: [
| "Hypothesis"
| "Variable"
| "Axiom"
| "Parameter"
| "Conjecture"
]
assumptions_token: [
| "Hypotheses"
| "Variables"
| "Axioms"
| "Parameters"
| "Conjectures"
]
inline: [
| "Inline" "(" natural ")"
| "Inline"
|
]
univ_constraint: [
| universe_name [ "<" | "=" | "<=" ] universe_name
]
univ_decl_constraints: [
| "|" LIST0 univ_constraint SEP "," [ "+" | ] "}"
| [ "}" | bar_cbrace ]
]
univ_decl: [
| "@{" test_univ_decl LIST0 identref "|" LIST0 identref [ "+" | ] univ_decl_constraints
| "@{" LIST0 identref [ "+" | ] univ_decl_constraints
]
variance: [
| "+"
| "="
| "*"
]
variance_identref: [
| identref
| test_variance_ident variance identref
]
cumul_univ_decl: [
| "@{" test_cumul_univ_decl LIST0 identref "|" LIST0 variance_identref [ "+" | ] univ_decl_constraints
| "@{" LIST0 variance_identref [ "+" | ] univ_decl_constraints
]
ident_decl: [
| identref OPT univ_decl
]
cumul_ident_decl: [
| identref OPT cumul_univ_decl
]
inductive_token: [
| "Inductive"
| "CoInductive"
]
finite_token: [
| "Variant"
| "Record"
| "Structure"
| "Class"
]
def_body: [
| binders ":=" reduce lconstr
| binders ":" lconstr ":=" reduce lconstr
| binders ":" lconstr
]
reduce: [
| "Eval" red_expr "in"
|
]
notation_declaration: [
| lstring ":=" constr syntax_modifiers OPT [ ":" IDENT ]
]
decl_sep: [
| "and"
]
decl_notations: [
| "where" LIST1 notation_declaration SEP decl_sep
|
]
opt_constructors_or_fields: [
| ":=" constructors_or_record
| ":="
|
]
inductive_or_record_definition: [
| opt_coercion cumul_ident_decl binders OPT [ "|" binders ] OPT [ ":" lconstr ] opt_constructors_or_fields decl_notations
]
constructors_or_record: [
| "|" LIST1 constructor SEP "|"
| quoted_attributes identref constructor_type "|" LIST1 constructor SEP "|"
| quoted_attributes identref constructor_type
| quoted_attributes identref "{" record_fields "}" default_inhabitant_ident
| "{" record_fields "}" default_inhabitant_ident
]
default_inhabitant_ident: [
| "as" identref
|
]
opt_coercion: [
| ">"
|
]
fix_definition: [
| ident_decl binders_fixannot type_cstr OPT [ ":=" lconstr ] decl_notations
]
cofix_definition: [
| ident_decl binders type_cstr OPT [ ":=" lconstr ] decl_notations
]
rw_pattern: [
| lconstr
]
rewrite_rule: [
| OPT [ univ_decl "|-" ] rw_pattern "==>" lconstr
]
scheme: [
| scheme_kind
| identref ":=" scheme_kind
]
scheme_kind: [