blob: 6fbb668bf37902c6b1fc4b4fcf72506c931a6cf4 (
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
|
(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
(*i $Id: clenv.mli 14641 2011-11-06 11:59:10Z herbelin $ i*)
(*i*)
open Util
open Names
open Term
open Sign
open Environ
open Evd
open Evarutil
open Mod_subst
open Rawterm
open Unification
(*i*)
(***************************************************************)
(* The Type of Constructions clausale environments. *)
(* [env] is the typing context
* [evd] is the mapping from metavar and evar numbers to their types
* and values.
* [templval] is the template which we are trying to fill out.
* [templtyp] is its type.
*)
type clausenv = {
env : env;
evd : evar_map;
templval : constr freelisted;
templtyp : constr freelisted }
(* Substitution is not applied on templenv (because [subst_clenv] is
applied only on hints which typing env is overwritten by the
goal env) *)
val subst_clenv : substitution -> clausenv -> clausenv
(* subject of clenv (instantiated) *)
val clenv_value : clausenv -> constr
(* type of clenv (instantiated) *)
val clenv_type : clausenv -> types
(* substitute resolved metas *)
val clenv_nf_meta : clausenv -> constr -> constr
(* type of a meta in clenv context *)
val clenv_meta_type : clausenv -> metavariable -> types
val mk_clenv_from : evar_info sigma -> constr * types -> clausenv
val mk_clenv_from_n :
evar_info sigma -> int option -> constr * types -> clausenv
val mk_clenv_type_of : evar_info sigma -> constr -> clausenv
val mk_clenv_from_env : env -> evar_map -> int option -> constr * types -> clausenv
(***************************************************************)
(* linking of clenvs *)
val connect_clenv : evar_info sigma -> clausenv -> clausenv
val clenv_fchain :
?allow_K:bool -> ?flags:unify_flags -> metavariable -> clausenv -> clausenv -> clausenv
(***************************************************************)
(* Unification with clenvs *)
(* Unifies two terms in a clenv. The boolean is [allow_K] (see [Unification]) *)
val clenv_unify :
bool -> ?flags:unify_flags -> conv_pb -> constr -> constr -> clausenv -> clausenv
(* unifies the concl of the goal with the type of the clenv *)
val clenv_unique_resolver :
bool -> ?flags:unify_flags -> clausenv -> evar_info sigma -> clausenv
(* same as above ([allow_K=false]) but replaces remaining metas
with fresh evars if [evars_flag] is [true] *)
val evar_clenv_unique_resolver :
bool -> ?flags:unify_flags -> clausenv -> evar_info sigma -> clausenv
val clenv_dependent : bool -> clausenv -> metavariable list
val clenv_pose_metas_as_evars : clausenv -> metavariable list -> clausenv
(***************************************************************)
(* Bindings *)
type arg_bindings = constr explicit_bindings
(* bindings where the key is the position in the template of the
clenv (dependent or not). Positions can be negative meaning to
start from the rightmost argument of the template. *)
val clenv_independent : clausenv -> metavariable list
val clenv_missing : clausenv -> metavariable list
(** for the purpose of inversion tactics *)
exception NoSuchBinding
val clenv_constrain_last_binding : constr -> clausenv -> clausenv
(* defines metas corresponding to the name of the bindings *)
val clenv_match_args : arg_bindings -> clausenv -> clausenv
val clenv_unify_meta_types : ?flags:unify_flags -> clausenv -> clausenv
(* start with a clenv to refine with a given term with bindings *)
(* the arity of the lemma is fixed *)
(* the optional int tells how many prods of the lemma have to be used *)
(* use all of them if None *)
val make_clenv_binding_apply :
evar_info sigma -> int option -> constr * constr -> constr bindings ->
clausenv
val make_clenv_binding_env_apply :
env -> evar_map -> int option -> constr * constr -> constr bindings ->
clausenv
val make_clenv_binding :
evar_info sigma -> constr * constr -> constr bindings -> clausenv
(* [clenv_environments sigma n t] returns [sigma',lmeta,ccl] where
[lmetas] is a list of metas to be applied to a proof of [t] so that
it produces the unification pattern [ccl]; [sigma'] is [sigma]
extended with [lmetas]; if [n] is defined, it limits the size of
the list even if [ccl] is still a product; otherwise, it stops when
[ccl] is not a product; example: if [t] is [forall x y, x=y -> y=x]
and [n] is [None], then [lmetas] is [Meta n1;Meta n2;Meta n3] and
[ccl] is [Meta n1=Meta n2]; if [n] is [Some 1], [lmetas] is [Meta n1]
and [ccl] is [forall y, Meta n1=y -> y=Meta n1] *)
val clenv_environments :
evar_map -> int option -> types -> evar_map * constr list * types
(* [clenv_environments_evars env sigma n t] does the same but returns
a list of Evar's defined in [env] and extends [sigma] accordingly *)
val clenv_environments_evars :
env -> evar_map -> int option -> types -> evar_map * constr list * types
(* [clenv_conv_leq env sigma t c n] looks for c1...cn s.t. [t <= c c1...cn] *)
val clenv_conv_leq :
env -> evar_map -> types -> constr -> int -> constr list
(* if the clause is a product, add an extra meta for this product *)
exception NotExtensibleClause
val clenv_push_prod : clausenv -> clausenv
(***************************************************************)
(* Pretty-print *)
val pr_clenv : clausenv -> Pp.std_ppcmds
|
