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
|
(************************************************************************)
(* 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 *)
(************************************************************************)
(*i $Id$ i*)
(*i*)
open Names
open Term
(*i*)
(*s Signatures of ordered named declarations *)
type named_context = named_declaration list
type section_context = named_context
val empty_named_context : named_context
val add_named_decl : named_declaration -> named_context -> named_context
val vars_of_named_context : named_context -> identifier list
val lookup_named : identifier -> named_context -> named_declaration
(* number of declarations *)
val named_context_length : named_context -> int
(*s Recurrence on [named_context]: older declarations processed first *)
val fold_named_context :
(named_declaration -> 'a -> 'a) -> named_context -> init:'a -> 'a
(* newer declarations first *)
val fold_named_context_reverse :
('a -> named_declaration -> 'a) -> init:'a -> named_context -> 'a
(*s Section-related auxiliary functions *)
val instance_from_named_context : named_context -> constr array
(*s Signatures of ordered optionally named variables, intended to be
accessed by de Bruijn indices *)
(* In [rel_context], more recent declaration is on top *)
type rel_context = rel_declaration list
val empty_rel_context : rel_context
val add_rel_decl : rel_declaration -> rel_context -> rel_context
val lookup_rel : int -> rel_context -> rel_declaration
val rel_context_length : rel_context -> int
val rel_context_nhyps : rel_context -> int
val push_named_to_rel_context : named_context -> rel_context -> rel_context
(*s Recurrence on [rel_context]: older declarations processed first *)
val fold_rel_context :
(rel_declaration -> 'a -> 'a) -> rel_context -> init:'a -> 'a
(* newer declarations first *)
val fold_rel_context_reverse :
('a -> rel_declaration -> 'a) -> init:'a -> rel_context -> 'a
(*s Map function of [rel_context] *)
val map_rel_context : (constr -> constr) -> rel_context -> rel_context
(*s Map function of [named_context] *)
val map_named_context : (constr -> constr) -> named_context -> named_context
(*s Term constructors *)
val it_mkLambda_or_LetIn : constr -> rel_context -> constr
val it_mkProd_or_LetIn : types -> rel_context -> types
(*s Term destructors *)
(* Destructs a term of the form $(x_1:T_1)..(x_n:T_n)s$ into the pair *)
type arity = rel_context * sorts
val destArity : types -> arity
val mkArity : arity -> types
val isArity : types -> bool
(* Transforms a product term $(x_1:T_1)..(x_n:T_n)T$ including letins
into the pair $([(x_n,T_n);...;(x_1,T_1)],T)$, where $T$ is not a
product nor a let. *)
val decompose_prod_assum : types -> rel_context * types
(* Transforms a lambda term $[x_1:T_1]..[x_n:T_n]T$ including letins
into the pair $([(x_n,T_n);...;(x_1,T_1)],T)$, where $T$ is not a
lambda nor a let. *)
val decompose_lam_assum : constr -> rel_context * constr
(* Given a positive integer n, transforms a product term
$(x_1:T_1)..(x_n:T_n)T$
into the pair $([(xn,Tn);...;(x1,T1)],T)$. *)
val decompose_prod_n_assum : int -> types -> rel_context * types
(* Given a positive integer $n$, transforms a lambda term
$[x_1:T_1]..[x_n:T_n]T$ into the pair $([(x_n,T_n);...;(x_1,T_1)],T)$ *)
val decompose_lam_n_assum : int -> constr -> rel_context * constr
|
