blob: 73427d902d1936022a65fe90b364fe1c3c2cea8b (
plain)
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
|
(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
open Names
open Libnames
open Nametab
open Term
open Pattern
(** This module collects the global references, constructions and
patterns of the standard library used in ocaml files *)
(** {6 ... } *)
(** [find_reference caller_message [dir;subdir;...] s] returns a global
reference to the name dir.subdir.(...).s; the corresponding module
must have been required or in the process of being compiled so that
it must be used lazyly; it raises an anomaly with the given message
if not found *)
type message = string
val find_reference : message -> string list -> string -> global_reference
(** [coq_reference caller_message [dir;subdir;...] s] returns a
global reference to the name Coq.dir.subdir.(...).s *)
val coq_reference : message -> string list -> string -> global_reference
(** idem but return a term *)
val coq_constant : message -> string list -> string -> constr
(** Synonyms of [coq_constant] and [coq_reference] *)
val gen_constant : message -> string list -> string -> constr
val gen_reference : message -> string list -> string -> global_reference
(** Search in several modules (not prefixed by "Coq") *)
val gen_constant_in_modules : string->string list list-> string -> constr
val arith_modules : string list list
val zarith_base_modules : string list list
val init_modules : string list list
(** For tactics/commands requiring vernacular libraries *)
val check_required_library : string list -> unit
(** {6 Global references } *)
(** Modules *)
val logic_module : dir_path
val logic_type_module : dir_path
val datatypes_module_name : string list
val logic_module_name : string list
(** Natural numbers *)
val nat_path : full_path
val glob_nat : global_reference
val path_of_O : constructor
val path_of_S : constructor
val glob_O : global_reference
val glob_S : global_reference
(** Booleans *)
val glob_bool : global_reference
val path_of_true : constructor
val path_of_false : constructor
val glob_true : global_reference
val glob_false : global_reference
(** Equality *)
val glob_eq : global_reference
val glob_identity : global_reference
val glob_jmeq : global_reference
(** {6 ... } *)
(** Constructions and patterns related to Coq initial state are unknown
at compile time. Therefore, we can only provide methods to build
them at runtime. This is the purpose of the [constr delayed] and
[constr_pattern delayed] types. Objects of this time needs to be
applied to [()] to get the actual constr or pattern at runtime *)
type 'a delayed = unit -> 'a
type coq_bool_data = {
andb : constr;
andb_prop : constr;
andb_true_intro : constr}
val build_bool_type : coq_bool_data delayed
(** {6 For Equality tactics } *)
type coq_sigma_data = {
proj1 : constr;
proj2 : constr;
elim : constr;
intro : constr;
typ : constr }
val build_sigma_set : coq_sigma_data delayed
val build_sigma_type : coq_sigma_data delayed
(** Non-dependent pairs in Set from Datatypes *)
val build_prod : coq_sigma_data delayed
type coq_eq_data = {
eq : constr;
ind : constr;
refl : constr;
sym : constr;
trans: constr;
congr: constr }
val build_coq_eq_data : coq_eq_data delayed
val build_coq_identity_data : coq_eq_data delayed
val build_coq_jmeq_data : coq_eq_data delayed
val build_coq_eq : constr delayed (** = [(build_coq_eq_data()).eq] *)
val build_coq_eq_refl : constr delayed (** = [(build_coq_eq_data()).refl] *)
val build_coq_eq_sym : constr delayed (** = [(build_coq_eq_data()).sym] *)
val build_coq_f_equal2 : constr delayed
(** Data needed for discriminate and injection *)
type coq_inversion_data = {
inv_eq : constr; (** : forall params, args -> Prop *)
inv_ind : constr; (** : forall params P (H : P params) args, eq params args
-> P args *)
inv_congr: constr (** : forall params B (f:t->B) args, eq params args ->
f params = f args *)
}
val build_coq_inversion_eq_data : coq_inversion_data delayed
val build_coq_inversion_identity_data : coq_inversion_data delayed
val build_coq_inversion_jmeq_data : coq_inversion_data delayed
val build_coq_inversion_eq_true_data : coq_inversion_data delayed
(** Specif *)
val build_coq_sumbool : constr delayed
(** {6 ... } *)
(** Connectives
The False proposition *)
val build_coq_False : constr delayed
(** The True proposition and its unique proof *)
val build_coq_True : constr delayed
val build_coq_I : constr delayed
(** Negation *)
val build_coq_not : constr delayed
(** Conjunction *)
val build_coq_and : constr delayed
val build_coq_conj : constr delayed
val build_coq_iff : constr delayed
val build_coq_iff_left_proj : constr delayed
val build_coq_iff_right_proj : constr delayed
(** Disjunction *)
val build_coq_or : constr delayed
(** Existential quantifier *)
val build_coq_ex : constr delayed
val coq_eq_ref : global_reference lazy_t
val coq_identity_ref : global_reference lazy_t
val coq_jmeq_ref : global_reference lazy_t
val coq_eq_true_ref : global_reference lazy_t
val coq_existS_ref : global_reference lazy_t
val coq_existT_ref : global_reference lazy_t
val coq_not_ref : global_reference lazy_t
val coq_False_ref : global_reference lazy_t
val coq_sumbool_ref : global_reference lazy_t
val coq_sig_ref : global_reference lazy_t
val coq_or_ref : global_reference lazy_t
val coq_iff_ref : global_reference lazy_t
|
