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
|
(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2012 *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
(* Module defining the last essential tiles of interactive proofs.
A proof deals with the focusing commands (including the braces and bullets),
the shelf (see the [shelve] tactic) and given up goal (see the [give_up]
tactic). A proof is made of the following:
- Proofview: a proof is primarily the data of the current view.
That which is shown to the user (as a remainder, a proofview
is mainly the logical state of the proof, together with the
currently focused goals).
- Focus: a proof has a focus stack: the top of the stack contains
the context in which to unfocus the current view to a view focused
with the rest of the stack.
In addition, this contains, for each of the focus context, a
"focus kind" and a "focus condition" (in practice, and for modularity,
the focus kind is actually stored inside the condition). To unfocus, one
needs to know the focus kind, and the condition (for instance "no condition" or
the proof under focused must be complete) must be met.
- Shelf: A list of goals which have been put aside during the proof. They can be
retrieved with the [Unshelve] command, or solved by side effects
- Given up goals: as long as there is a given up goal, the proof is not completed.
Given up goals cannot be retrieved, the user must go back where the tactic
[give_up] was run and solve the goal there.
*)
open Term
(* Type of a proof. *)
type proof
(* Returns a stylised view of a proof for use by, for instance,
ide-s. *)
(* spiwack: the type of [proof] will change as we push more refined
functions to ide-s. This would be better than spawning a new nearly
identical function everytime. Hence the generic name. *)
(* In this version: returns the focused goals, a representation of the
focus stack (the goals at each level), a representation of the
shelf (the list of goals on the shelf), a representation of the
given up goals (the list of the given up goals) and the underlying
evar_map *)
val proof : proof ->
Goal.goal list
* (Goal.goal list * Goal.goal list) list
* Goal.goal list
* Goal.goal list
* Evd.evar_map
(*** General proof functions ***)
val start : Evd.evar_map -> (Environ.env * Term.types) list -> proof
val dependent_start : Evd.evar_map -> Proofview.telescope -> proof
val initial_goals : proof -> (Term.constr * Term.types) list
(* Returns [true] if the considered proof is completed, that is if no goal remain
to be considered (this does not require that all evars have been solved). *)
val is_done : proof -> bool
(* Returns the list of partial proofs to initial goals. *)
val partial_proof : proof -> Term.constr list
(* Returns the proofs (with their type) of the initial goals.
Raises [UnfinishedProof] is some goals remain to be considered.
Raises [HasShelvedGoals] if some goals are left on the shelf.
Raises [HasGivenUpGoals] if some goals have been given up.
Raises [HasUnresolvedEvar] if some evars have been left undefined. *)
exception UnfinishedProof
exception HasShelvedGoals
exception HasGivenUpGoals
exception HasUnresolvedEvar
val return : proof -> Evd.evar_map
(*** Focusing actions ***)
(* ['a focus_kind] is the type used by focusing and unfocusing
commands to synchronise. Focusing and unfocusing commands use
a particular ['a focus_kind], and if they don't match, the unfocusing command
will fail.
When focusing with an ['a focus_kind], an information of type ['a] is
stored at the focusing point. An example use is the "induction" tactic
of the declarative mode where sub-tactics must be aware of the current
induction argument. *)
type 'a focus_kind
val new_focus_kind : unit -> 'a focus_kind
(* To be authorized to unfocus one must meet the condition prescribed by
the action which focused.
Conditions always carry a focus kind, and inherit their type parameter
from it.*)
type 'a focus_condition
(* [no_cond] only checks that the unfocusing command uses the right
[focus_kind].
If [loose_end] (default [false]) is [true], then if the [focus_kind]
doesn't match, then unfocusing can occur, provided it unfocuses
an earlier focus.
For instance bullets can be unfocused in the following situation
[{- solve_goal. }] because they use a loose-end condition. *)
val no_cond : ?loose_end:bool -> 'a focus_kind -> 'a focus_condition
(* [done_cond] checks that the unfocusing command uses the right [focus_kind]
and that the focused proofview is complete.
If [loose_end] (default [false]) is [true], then if the [focus_kind]
doesn't match, then unfocusing can occur, provided it unfocuses
an earlier focus.
For instance bullets can be unfocused in the following situation
[{ - solve_goal. }] because they use a loose-end condition. *)
val done_cond : ?loose_end:bool -> 'a focus_kind -> 'a focus_condition
(* focus command (focuses on the [i]th subgoal) *)
(* spiwack: there could also, easily be a focus-on-a-range tactic, is there
a need for it? *)
val focus : 'a focus_condition -> 'a -> int -> proof -> proof
exception FullyUnfocused
exception CannotUnfocusThisWay
(* Unfocusing command.
Raises [FullyUnfocused] if the proof is not focused.
Raises [CannotUnfocusThisWay] if the proof the unfocusing condition
is not met. *)
val unfocus : 'a focus_kind -> proof -> unit -> proof
(* [unfocused p] returns [true] when [p] is fully unfocused. *)
val unfocused : proof -> bool
(* [get_at_focus k] gets the information stored at the closest focus point
of kind [k].
Raises [NoSuchFocus] if there is no focus point of kind [k]. *)
exception NoSuchFocus
val get_at_focus : 'a focus_kind -> proof -> 'a
(* [is_last_focus k] check if the most recent focus is of kind [k] *)
val is_last_focus : 'a focus_kind -> proof -> bool
(* returns [true] if there is no goal under focus. *)
val no_focused_goal : proof -> bool
(*** Tactics ***)
(* the returned boolean signal whether an unsafe tactic has been
used. In which case it is [false]. *)
val run_tactic : Environ.env -> unit Proofview.tactic -> proof -> proof*bool
val emit_side_effects : Declareops.side_effects -> proof -> proof
val maximal_unfocus : 'a focus_kind -> proof -> proof
(*** Commands ***)
val in_proof : proof -> (Evd.evar_map -> 'a) -> 'a
(* Remove all the goals from the shelf and adds them at the end of the
focused goals. *)
val unshelve : proof -> proof
(*** Compatibility layer with <=v8.2 ***)
module V82 : sig
val subgoals : proof -> Goal.goal list Evd.sigma
(* All the subgoals of the proof, including those which are not focused. *)
val background_subgoals : proof -> Goal.goal list Evd.sigma
val top_goal : proof -> Goal.goal Evd.sigma
(* returns the existential variable used to start the proof *)
val top_evars : proof -> Evd.evar list
(* Turns the unresolved evars into goals.
Raises [UnfinishedProof] if there are still unsolved goals. *)
val grab_evars : proof -> proof
(* Implements the Existential command *)
val instantiate_evar : int -> Constrexpr.constr_expr -> proof -> proof
end
|
