blob: 1cf940cba13d623a4c8040b15683fc757329a23a (
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
|
(************************************************************************)
(* 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: inductiveops.mli 11436 2008-10-07 13:56:55Z barras $ i*)
open Names
open Term
open Declarations
open Environ
open Evd
open Sign
(* The following three functions are similar to the ones defined in
Inductive, but they expect an env *)
val type_of_inductive : env -> inductive -> types
(* Return type as quoted by the user *)
val type_of_constructor : env -> constructor -> types
val type_of_constructors : env -> inductive -> types array
(* Return constructor types in normal form *)
val arities_of_constructors : env -> inductive -> types array
(* An inductive type with its parameters *)
type inductive_family
val make_ind_family : inductive * constr list -> inductive_family
val dest_ind_family : inductive_family -> inductive * constr list
val map_ind_family : (constr -> constr) -> inductive_family -> inductive_family
val liftn_inductive_family : int -> int -> inductive_family -> inductive_family
val lift_inductive_family : int -> inductive_family -> inductive_family
val substnl_ind_family :
constr list -> int -> inductive_family -> inductive_family
(* An inductive type with its parameters and real arguments *)
type inductive_type = IndType of inductive_family * constr list
val make_ind_type : inductive_family * constr list -> inductive_type
val dest_ind_type : inductive_type -> inductive_family * constr list
val map_inductive_type : (constr -> constr) -> inductive_type -> inductive_type
val liftn_inductive_type : int -> int -> inductive_type -> inductive_type
val lift_inductive_type : int -> inductive_type -> inductive_type
val substnl_ind_type : constr list -> int -> inductive_type -> inductive_type
val mkAppliedInd : inductive_type -> constr
val mis_is_recursive_subset : int list -> wf_paths -> bool
val mis_is_recursive :
inductive * mutual_inductive_body * one_inductive_body -> bool
val mis_nf_constructor_type :
inductive * mutual_inductive_body * one_inductive_body -> int -> constr
(* Extract information from an inductive name *)
val mis_constr_nargs : inductive -> int array
val mis_constr_nargs_env : env -> inductive -> int array
(* Return number of expected parameters and of expected real arguments *)
val inductive_nargs : env -> inductive -> int * int
val mis_constructor_nargs_env : env -> constructor -> int
val constructor_nrealargs : env -> constructor -> int
val constructor_nrealhyps : env -> constructor -> int
val get_full_arity_sign : env -> inductive -> rel_context
val allowed_sorts : env -> inductive -> sorts_family list
(* Extract information from an inductive family *)
type constructor_summary = {
cs_cstr : constructor;
cs_params : constr list;
cs_nargs : int;
cs_args : Sign.rel_context;
cs_concl_realargs : constr array;
}
val lift_constructor : int -> constructor_summary -> constructor_summary
val get_constructor :
inductive * mutual_inductive_body * one_inductive_body * constr list ->
int -> constructor_summary
val get_arity : env -> inductive_family -> rel_context * sorts_family
val get_constructors : env -> inductive_family -> constructor_summary array
val build_dependent_constructor : constructor_summary -> constr
val build_dependent_inductive : env -> inductive_family -> constr
val make_arity_signature : env -> bool -> inductive_family -> Sign.rel_context
val make_arity : env -> bool -> inductive_family -> sorts -> types
val build_branch_type : env -> bool -> constr -> constructor_summary -> types
(* Raise [Not_found] if not given an valid inductive type *)
val extract_mrectype : constr -> inductive * constr list
val find_mrectype : env -> evar_map -> constr -> inductive * constr list
val find_rectype : env -> evar_map -> constr -> inductive_type
val find_inductive : env -> evar_map -> constr -> inductive * constr list
val find_coinductive : env -> evar_map -> constr -> inductive * constr list
(********************)
(* Builds the case predicate arity (dependent or not) *)
val arity_of_case_predicate :
env -> inductive_family -> bool -> sorts -> types
val type_case_branches_with_names :
env -> inductive * constr list -> unsafe_judgment -> constr ->
types array * types
val make_case_info : env -> inductive -> case_style -> case_info
(*i Compatibility
val make_default_case_info : env -> case_style -> inductive -> case_info
i*)
(********************)
val type_of_inductive_knowing_conclusion :
env -> one_inductive_body -> types -> types
(********************)
val control_only_guard : env -> types -> unit
val subst_inductive : Mod_subst.substitution -> inductive -> inductive
|
