blob: c835eeffa36327f436195de922afd09ee261f898 (
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
|
(* $Id$ *)
(*i*)
open Term
open Pattern
(*i*)
(*s This module collects the global references of the standard library
used in ocaml files *)
(* Natural numbers *)
val glob_nat : global_reference
val glob_O : global_reference
val glob_S : global_reference
(* Special variable for pretty-printing of constant naturals *)
val glob_My_special_variable_nat : global_reference
(*s For Equality tactics *)
type coq_sigma_data = {
proj1 : constr;
proj2 : constr;
elim : constr;
intro : constr;
typ : constr }
val build_sigma_set : unit -> coq_sigma_data
val build_sigma_type : unit -> coq_sigma_data
type 'a delayed = unit -> 'a
type coq_leibniz_eq_data = {
eq : constr delayed;
ind : constr delayed;
rrec : constr delayed option;
rect : constr delayed option;
congr: constr delayed;
sym : constr delayed }
val build_coq_eq_data : coq_leibniz_eq_data
val build_coq_eqT_data : coq_leibniz_eq_data
val build_coq_idT_data : coq_leibniz_eq_data
val build_coq_f_equal2 : constr delayed
val build_coq_eqT : constr delayed
val build_coq_sym_eqT : constr delayed
(* Empty Type *)
val build_coq_EmptyT : constr delayed
(* Unit Type and its unique inhabitant *)
val build_coq_UnitT : constr delayed
val build_coq_IT : constr delayed
(* Specif *)
val build_coq_sumbool : constr delayed
(*s 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
(* Disjunction *)
val build_coq_or : constr delayed
(* Existential quantifier *)
val build_coq_ex : constr delayed
(**************************** Patterns ************************************)
(* ["(eq ?1 ?2 ?3)"] *)
val build_coq_eq_pattern : constr_pattern delayed
(* ["(eqT ?1 ?2 ?3)"] *)
val build_coq_eqT_pattern : constr_pattern delayed
(* ["(identityT ?1 ?2 ?3)"] *)
val build_coq_idT_pattern : constr_pattern delayed
(* ["(existS ?1 ?2 ?3 ?4)"] *)
val build_coq_existS_pattern : constr_pattern delayed
(* ["(existT ?1 ?2 ?3 ?4)"] *)
val build_coq_existT_pattern : constr_pattern delayed
(* ["(not ?)"] *)
val build_coq_not_pattern : constr_pattern delayed
(* ["? -> False"] *)
val build_coq_imp_False_pattern : constr_pattern delayed
(* ["(sumbool (eq ?1 ?2 ?3) ?4)"] *)
val build_coq_eqdec_partial_pattern : constr_pattern delayed
(* ["! (x,y:?1). (sumbool (eq ?1 x y) ~(eq ?1 x y))"] *)
val build_coq_eqdec_pattern : constr_pattern delayed
(* ["(A : ?)(x:A)(? A x x)"] and ["(x : ?)(? x x)"] *)
val build_coq_refl_rel1_pattern : constr_pattern delayed
val build_coq_refl_rel2_pattern : constr_pattern delayed
(* ["(?1 -> ?2)"] *)
val build_coq_arrow_pattern : constr_pattern delayed
|