author | wenzelm |
Mon, 07 May 2007 00:49:59 +0200 | |
changeset 22846 | fb79144af9a3 |
parent 21727 | 5acd4f35d26f |
child 23360 | 9e3c0c1ad0ad |
permissions | -rw-r--r-- |
5820 | 1 |
(* Title: Pure/Isar/proof.ML |
2 |
ID: $Id$ |
|
3 |
Author: Markus Wenzel, TU Muenchen |
|
4 |
||
19000 | 5 |
The Isar/VM proof language interpreter: maintains a structured flow of |
6 |
context elements, goals, refinements, and facts. |
|
5820 | 7 |
*) |
8 |
||
9 |
signature PROOF = |
|
10 |
sig |
|
17756 | 11 |
type context (*= Context.proof*) |
12 |
type method (*= Method.method*) |
|
5820 | 13 |
type state |
17359 | 14 |
val init: context -> state |
15 |
val level: state -> int |
|
16 |
val assert_bottom: bool -> state -> state |
|
5820 | 17 |
val context_of: state -> context |
18 |
val theory_of: state -> theory |
|
13377 | 19 |
val map_context: (context -> context) -> state -> state |
17976 | 20 |
val add_binds_i: (indexname * term option) list -> state -> state |
21442 | 21 |
val put_thms: string * thm list option -> state -> state |
6091 | 22 |
val the_facts: state -> thm list |
9469 | 23 |
val the_fact: state -> thm |
17450 | 24 |
val put_facts: thm list option -> state -> state |
6891 | 25 |
val assert_forward: state -> state |
17359 | 26 |
val assert_chain: state -> state |
9469 | 27 |
val assert_forward_or_chain: state -> state |
5820 | 28 |
val assert_backward: state -> state |
8206 | 29 |
val assert_no_chain: state -> state |
5820 | 30 |
val enter_forward: state -> state |
17359 | 31 |
val get_goal: state -> context * (thm list * thm) |
19995 | 32 |
val schematic_goal: state -> bool |
16539 | 33 |
val show_main_goal: bool ref |
6529 | 34 |
val verbose: bool ref |
12423 | 35 |
val pretty_state: int -> state -> Pretty.T list |
10360 | 36 |
val pretty_goals: bool -> state -> Pretty.T list |
17112 | 37 |
val refine: Method.text -> state -> state Seq.seq |
38 |
val refine_end: Method.text -> state -> state Seq.seq |
|
18908 | 39 |
val refine_insert: thm list -> state -> state |
20208 | 40 |
val goal_tac: thm -> int -> tactic |
17359 | 41 |
val refine_goals: (context -> thm -> unit) -> context -> thm list -> state -> state Seq.seq |
5936 | 42 |
val match_bind: (string list * string) list -> state -> state |
43 |
val match_bind_i: (term list * term) list -> state -> state |
|
8617
33e2bd53aec3
support Hindley-Milner polymorphisms in binds and facts;
wenzelm
parents:
8582
diff
changeset
|
44 |
val let_bind: (string list * string) list -> state -> state |
33e2bd53aec3
support Hindley-Milner polymorphisms in binds and facts;
wenzelm
parents:
8582
diff
changeset
|
45 |
val let_bind_i: (term list * term) list -> state -> state |
19846 | 46 |
val fix: (string * string option * mixfix) list -> state -> state |
47 |
val fix_i: (string * typ option * mixfix) list -> state -> state |
|
20224
9c40a144ee0e
moved basic assumption operations from structure ProofContext to Assumption;
wenzelm
parents:
20208
diff
changeset
|
48 |
val assm: Assumption.export -> |
19585 | 49 |
((string * Attrib.src list) * (string * string list) list) list -> state -> state |
20224
9c40a144ee0e
moved basic assumption operations from structure ProofContext to Assumption;
wenzelm
parents:
20208
diff
changeset
|
50 |
val assm_i: Assumption.export -> |
19585 | 51 |
((string * attribute list) * (term * term list) list) list -> state -> state |
52 |
val assume: ((string * Attrib.src list) * (string * string list) list) list -> state -> state |
|
53 |
val assume_i: ((string * attribute list) * (term * term list) list) list -> state -> state |
|
54 |
val presume: ((string * Attrib.src list) * (string * string list) list) list -> state -> state |
|
55 |
val presume_i: ((string * attribute list) * (term * term list) list) list -> state -> state |
|
19846 | 56 |
val def: ((string * Attrib.src list) * |
57 |
((string * mixfix) * (string * string list))) list -> state -> state |
|
58 |
val def_i: ((string * attribute list) * |
|
59 |
((string * mixfix) * (term * term list))) list -> state -> state |
|
17359 | 60 |
val chain: state -> state |
61 |
val chain_facts: thm list -> state -> state |
|
62 |
val get_thmss: state -> (thmref * Attrib.src list) list -> thm list |
|
63 |
val note_thmss: ((string * Attrib.src list) * |
|
17112 | 64 |
(thmref * Attrib.src list) list) list -> state -> state |
18728 | 65 |
val note_thmss_i: ((string * attribute list) * |
66 |
(thm list * attribute list) list) list -> state -> state |
|
17112 | 67 |
val from_thmss: ((thmref * Attrib.src list) list) list -> state -> state |
18728 | 68 |
val from_thmss_i: ((thm list * attribute list) list) list -> state -> state |
17112 | 69 |
val with_thmss: ((thmref * Attrib.src list) list) list -> state -> state |
18728 | 70 |
val with_thmss_i: ((thm list * attribute list) list) list -> state -> state |
18548 | 71 |
val using: ((thmref * Attrib.src list) list) list -> state -> state |
18728 | 72 |
val using_i: ((thm list * attribute list) list) list -> state -> state |
18548 | 73 |
val unfolding: ((thmref * Attrib.src list) list) list -> state -> state |
18728 | 74 |
val unfolding_i: ((thm list * attribute list) list) list -> state -> state |
17112 | 75 |
val invoke_case: string * string option list * Attrib.src list -> state -> state |
18728 | 76 |
val invoke_case_i: string * string option list * attribute list -> state -> state |
17359 | 77 |
val begin_block: state -> state |
78 |
val next_block: state -> state |
|
20309 | 79 |
val end_block: state -> state |
17112 | 80 |
val proof: Method.text option -> state -> state Seq.seq |
81 |
val defer: int option -> state -> state Seq.seq |
|
82 |
val prefer: int -> state -> state Seq.seq |
|
83 |
val apply: Method.text -> state -> state Seq.seq |
|
84 |
val apply_end: Method.text -> state -> state Seq.seq |
|
17359 | 85 |
val local_goal: (context -> ((string * string) * (string * thm list) list) -> unit) -> |
18728 | 86 |
(theory -> 'a -> attribute) -> |
17359 | 87 |
(context * 'b list -> context * (term list list * (context -> context))) -> |
18124 | 88 |
string -> Method.text option -> (thm list list -> state -> state Seq.seq) -> |
17359 | 89 |
((string * 'a list) * 'b) list -> state -> state |
90 |
val local_qed: Method.text option * bool -> state -> state Seq.seq |
|
21442 | 91 |
val theorem: Method.text option -> (thm list list -> context -> context) -> |
21362
3a2ab1dce297
simplified Proof.theorem(_i) interface -- removed target support;
wenzelm
parents:
21274
diff
changeset
|
92 |
(string * string list) list list -> context -> state |
21442 | 93 |
val theorem_i: Method.text option -> (thm list list -> context -> context) -> |
21362
3a2ab1dce297
simplified Proof.theorem(_i) interface -- removed target support;
wenzelm
parents:
21274
diff
changeset
|
94 |
(term * term list) list list -> context -> state |
20363
f34c5dbe74d5
global goals/qeds: after_qed operates on Proof.context (potentially local_theory);
wenzelm
parents:
20341
diff
changeset
|
95 |
val global_qed: Method.text option * bool -> state -> context |
17359 | 96 |
val local_terminal_proof: Method.text * Method.text option -> state -> state Seq.seq |
97 |
val local_default_proof: state -> state Seq.seq |
|
98 |
val local_immediate_proof: state -> state Seq.seq |
|
99 |
val local_done_proof: state -> state Seq.seq |
|
100 |
val local_skip_proof: bool -> state -> state Seq.seq |
|
20363
f34c5dbe74d5
global goals/qeds: after_qed operates on Proof.context (potentially local_theory);
wenzelm
parents:
20341
diff
changeset
|
101 |
val global_terminal_proof: Method.text * Method.text option -> state -> context |
f34c5dbe74d5
global goals/qeds: after_qed operates on Proof.context (potentially local_theory);
wenzelm
parents:
20341
diff
changeset
|
102 |
val global_default_proof: state -> context |
f34c5dbe74d5
global goals/qeds: after_qed operates on Proof.context (potentially local_theory);
wenzelm
parents:
20341
diff
changeset
|
103 |
val global_immediate_proof: state -> context |
f34c5dbe74d5
global goals/qeds: after_qed operates on Proof.context (potentially local_theory);
wenzelm
parents:
20341
diff
changeset
|
104 |
val global_done_proof: state -> context |
f34c5dbe74d5
global goals/qeds: after_qed operates on Proof.context (potentially local_theory);
wenzelm
parents:
20341
diff
changeset
|
105 |
val global_skip_proof: bool -> state -> context |
18124 | 106 |
val have: Method.text option -> (thm list list -> state -> state Seq.seq) -> |
19585 | 107 |
((string * Attrib.src list) * (string * string list) list) list -> bool -> state -> state |
18124 | 108 |
val have_i: Method.text option -> (thm list list -> state -> state Seq.seq) -> |
19585 | 109 |
((string * attribute list) * (term * term list) list) list -> bool -> state -> state |
18124 | 110 |
val show: Method.text option -> (thm list list -> state -> state Seq.seq) -> |
19585 | 111 |
((string * Attrib.src list) * (string * string list) list) list -> bool -> state -> state |
18124 | 112 |
val show_i: Method.text option -> (thm list list -> state -> state Seq.seq) -> |
19585 | 113 |
((string * attribute list) * (term * term list) list) list -> bool -> state -> state |
5820 | 114 |
end; |
115 |
||
13377 | 116 |
structure Proof: PROOF = |
5820 | 117 |
struct |
118 |
||
20309 | 119 |
type context = Context.proof; |
17112 | 120 |
type method = Method.method; |
16813 | 121 |
|
5820 | 122 |
|
123 |
(** proof state **) |
|
124 |
||
17359 | 125 |
(* datatype state *) |
5820 | 126 |
|
17112 | 127 |
datatype mode = Forward | Chain | Backward; |
5820 | 128 |
|
17359 | 129 |
datatype state = |
130 |
State of node Stack.T |
|
131 |
and node = |
|
7176 | 132 |
Node of |
133 |
{context: context, |
|
134 |
facts: thm list option, |
|
135 |
mode: mode, |
|
17359 | 136 |
goal: goal option} |
137 |
and goal = |
|
138 |
Goal of |
|
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
139 |
{statement: string * term list list, (*goal kind and statement, starting with vars*) |
17359 | 140 |
using: thm list, (*goal facts*) |
141 |
goal: thm, (*subgoals ==> statement*) |
|
17859 | 142 |
before_qed: Method.text option, |
18124 | 143 |
after_qed: |
144 |
(thm list list -> state -> state Seq.seq) * |
|
20363
f34c5dbe74d5
global goals/qeds: after_qed operates on Proof.context (potentially local_theory);
wenzelm
parents:
20341
diff
changeset
|
145 |
(thm list list -> context -> context)}; |
17359 | 146 |
|
17859 | 147 |
fun make_goal (statement, using, goal, before_qed, after_qed) = |
148 |
Goal {statement = statement, using = using, goal = goal, |
|
149 |
before_qed = before_qed, after_qed = after_qed}; |
|
5820 | 150 |
|
7176 | 151 |
fun make_node (context, facts, mode, goal) = |
152 |
Node {context = context, facts = facts, mode = mode, goal = goal}; |
|
153 |
||
17359 | 154 |
fun map_node f (Node {context, facts, mode, goal}) = |
155 |
make_node (f (context, facts, mode, goal)); |
|
5820 | 156 |
|
21727 | 157 |
val init_context = |
158 |
ProofContext.set_stmt true #> ProofContext.reset_naming; |
|
159 |
||
21466
6ffb8f455b84
init: enter inner statement mode, which prevents local notes from being named internally;
wenzelm
parents:
21451
diff
changeset
|
160 |
fun init ctxt = |
21727 | 161 |
State (Stack.init (make_node (init_context ctxt, NONE, Forward, NONE))); |
5820 | 162 |
|
17359 | 163 |
fun current (State st) = Stack.top st |> (fn Node node => node); |
21274 | 164 |
fun map_current f (State st) = State (Stack.map_top (map_node f) st); |
12045 | 165 |
|
5820 | 166 |
|
167 |
||
168 |
(** basic proof state operations **) |
|
169 |
||
17359 | 170 |
(* block structure *) |
171 |
||
172 |
fun open_block (State st) = State (Stack.push st); |
|
173 |
||
18678 | 174 |
fun close_block (State st) = State (Stack.pop st) |
175 |
handle Empty => error "Unbalanced block parentheses"; |
|
17359 | 176 |
|
177 |
fun level (State st) = Stack.level st; |
|
178 |
||
179 |
fun assert_bottom b state = |
|
180 |
let val b' = (level state <= 2) in |
|
18678 | 181 |
if b andalso not b' then error "Not at bottom of proof!" |
182 |
else if not b andalso b' then error "Already at bottom of proof!" |
|
17359 | 183 |
else state |
184 |
end; |
|
185 |
||
186 |
||
5820 | 187 |
(* context *) |
188 |
||
17359 | 189 |
val context_of = #context o current; |
5820 | 190 |
val theory_of = ProofContext.theory_of o context_of; |
191 |
||
17359 | 192 |
fun map_context f = |
193 |
map_current (fn (ctxt, facts, mode, goal) => (f ctxt, facts, mode, goal)); |
|
5820 | 194 |
|
17359 | 195 |
fun map_context_result f state = |
17859 | 196 |
f (context_of state) ||> (fn ctxt => map_context (K ctxt) state); |
5820 | 197 |
|
10809 | 198 |
val add_binds_i = map_context o ProofContext.add_binds_i; |
21442 | 199 |
val put_thms = map_context o ProofContext.put_thms; |
5820 | 200 |
|
201 |
||
202 |
(* facts *) |
|
203 |
||
17359 | 204 |
val get_facts = #facts o current; |
205 |
||
206 |
fun the_facts state = |
|
207 |
(case get_facts state of SOME facts => facts |
|
18678 | 208 |
| NONE => error "No current facts available"); |
5820 | 209 |
|
9469 | 210 |
fun the_fact state = |
17359 | 211 |
(case the_facts state of [thm] => thm |
18678 | 212 |
| _ => error "Single theorem expected"); |
7605 | 213 |
|
17359 | 214 |
fun put_facts facts = |
19078 | 215 |
map_current (fn (ctxt, _, mode, goal) => (ctxt, facts, mode, goal)) #> |
21442 | 216 |
put_thms (AutoBind.thisN, facts); |
5820 | 217 |
|
17359 | 218 |
fun these_factss more_facts (named_factss, state) = |
19482
9f11af8f7ef9
tuned basic list operators (flat, maps, map_filter);
wenzelm
parents:
19475
diff
changeset
|
219 |
(named_factss, state |> put_facts (SOME (maps snd named_factss @ more_facts))); |
5820 | 220 |
|
17359 | 221 |
fun export_facts inner outer = |
222 |
(case get_facts inner of |
|
20309 | 223 |
NONE => put_facts NONE outer |
17359 | 224 |
| SOME thms => |
225 |
thms |
|
20309 | 226 |
|> ProofContext.export (context_of inner) (context_of outer) |
227 |
|> (fn ths => put_facts (SOME ths) outer)); |
|
5820 | 228 |
|
229 |
||
230 |
(* mode *) |
|
231 |
||
17359 | 232 |
val get_mode = #mode o current; |
5820 | 233 |
fun put_mode mode = map_current (fn (ctxt, facts, _, goal) => (ctxt, facts, mode, goal)); |
234 |
||
17359 | 235 |
val mode_name = (fn Forward => "state" | Chain => "chain" | Backward => "prove"); |
5820 | 236 |
|
237 |
fun assert_mode pred state = |
|
238 |
let val mode = get_mode state in |
|
239 |
if pred mode then state |
|
18678 | 240 |
else error ("Illegal application of proof command in " ^ quote (mode_name mode) ^ " mode") |
5820 | 241 |
end; |
242 |
||
19308 | 243 |
val assert_forward = assert_mode (fn mode => mode = Forward); |
244 |
val assert_chain = assert_mode (fn mode => mode = Chain); |
|
245 |
val assert_forward_or_chain = assert_mode (fn mode => mode = Forward orelse mode = Chain); |
|
246 |
val assert_backward = assert_mode (fn mode => mode = Backward); |
|
247 |
val assert_no_chain = assert_mode (fn mode => mode <> Chain); |
|
5820 | 248 |
|
17359 | 249 |
val enter_forward = put_mode Forward; |
250 |
val enter_chain = put_mode Chain; |
|
251 |
val enter_backward = put_mode Backward; |
|
5820 | 252 |
|
17359 | 253 |
|
254 |
(* current goal *) |
|
255 |
||
256 |
fun current_goal state = |
|
257 |
(case current state of |
|
258 |
{context, goal = SOME (Goal goal), ...} => (context, goal) |
|
18678 | 259 |
| _ => error "No current goal!"); |
5820 | 260 |
|
17359 | 261 |
fun assert_current_goal g state = |
262 |
let val g' = can current_goal state in |
|
18678 | 263 |
if g andalso not g' then error "No goal in this block!" |
264 |
else if not g andalso g' then error "Goal present in this block!" |
|
17359 | 265 |
else state |
266 |
end; |
|
6776 | 267 |
|
17359 | 268 |
fun put_goal goal = map_current (fn (ctxt, using, mode, _) => (ctxt, using, mode, goal)); |
269 |
||
17859 | 270 |
val before_qed = #before_qed o #2 o current_goal; |
271 |
||
17359 | 272 |
|
273 |
(* nested goal *) |
|
5820 | 274 |
|
17359 | 275 |
fun map_goal f g (State (Node {context, facts, mode, goal = SOME goal}, nodes)) = |
276 |
let |
|
17859 | 277 |
val Goal {statement, using, goal, before_qed, after_qed} = goal; |
278 |
val goal' = make_goal (g (statement, using, goal, before_qed, after_qed)); |
|
17359 | 279 |
in State (make_node (f context, facts, mode, SOME goal'), nodes) end |
280 |
| map_goal f g (State (nd, node :: nodes)) = |
|
281 |
let val State (node', nodes') = map_goal f g (State (node, nodes)) |
|
282 |
in map_context f (State (nd, node' :: nodes')) end |
|
283 |
| map_goal _ _ state = state; |
|
5820 | 284 |
|
19188 | 285 |
fun set_goal goal = map_goal I (fn (statement, using, _, before_qed, after_qed) => |
286 |
(statement, using, goal, before_qed, after_qed)); |
|
287 |
||
17859 | 288 |
fun using_facts using = map_goal I (fn (statement, _, goal, before_qed, after_qed) => |
289 |
(statement, using, goal, before_qed, after_qed)); |
|
17359 | 290 |
|
291 |
local |
|
292 |
fun find i state = |
|
293 |
(case try current_goal state of |
|
294 |
SOME (ctxt, goal) => (ctxt, (i, goal)) |
|
18678 | 295 |
| NONE => find (i + 1) (close_block state handle ERROR _ => error "No goal present")); |
17359 | 296 |
in val find_goal = find 0 end; |
297 |
||
298 |
fun get_goal state = |
|
299 |
let val (ctxt, (_, {using, goal, ...})) = find_goal state |
|
300 |
in (ctxt, (using, goal)) end; |
|
5820 | 301 |
|
19995 | 302 |
fun schematic_goal state = |
21362
3a2ab1dce297
simplified Proof.theorem(_i) interface -- removed target support;
wenzelm
parents:
21274
diff
changeset
|
303 |
let val (_, (_, {statement = (_, propss), ...})) = find_goal state in |
3a2ab1dce297
simplified Proof.theorem(_i) interface -- removed target support;
wenzelm
parents:
21274
diff
changeset
|
304 |
exists (exists (Term.exists_subterm Term.is_Var)) propss orelse |
3a2ab1dce297
simplified Proof.theorem(_i) interface -- removed target support;
wenzelm
parents:
21274
diff
changeset
|
305 |
exists (exists (Term.exists_type (Term.exists_subtype Term.is_TVar))) propss |
3a2ab1dce297
simplified Proof.theorem(_i) interface -- removed target support;
wenzelm
parents:
21274
diff
changeset
|
306 |
end; |
19995 | 307 |
|
5820 | 308 |
|
309 |
||
12423 | 310 |
(** pretty_state **) |
5820 | 311 |
|
13869 | 312 |
val show_main_goal = ref false; |
16539 | 313 |
val verbose = ProofContext.verbose; |
13698 | 314 |
|
14876 | 315 |
val pretty_goals_local = Display.pretty_goals_aux o ProofContext.pp; |
12085 | 316 |
|
15531 | 317 |
fun pretty_facts _ _ NONE = [] |
318 |
| pretty_facts s ctxt (SOME ths) = |
|
12055 | 319 |
[Pretty.big_list (s ^ "this:") (map (ProofContext.pretty_thm ctxt) ths), Pretty.str ""]; |
6756 | 320 |
|
17359 | 321 |
fun pretty_state nr state = |
5820 | 322 |
let |
17359 | 323 |
val {context, facts, mode, goal = _} = current state; |
324 |
val ref (_, _, bg) = Display.current_goals_markers; |
|
5820 | 325 |
|
326 |
fun levels_up 0 = "" |
|
17359 | 327 |
| levels_up 1 = "1 level up" |
328 |
| levels_up i = string_of_int i ^ " levels up"; |
|
5820 | 329 |
|
11556 | 330 |
fun subgoals 0 = "" |
17359 | 331 |
| subgoals 1 = "1 subgoal" |
332 |
| subgoals n = string_of_int n ^ " subgoals"; |
|
333 |
||
334 |
fun description strs = |
|
335 |
(case filter_out (equal "") strs of [] => "" |
|
336 |
| strs' => enclose " (" ")" (commas strs')); |
|
12146 | 337 |
|
21451 | 338 |
fun prt_goal (SOME (ctxt, (i, {statement = _, using, goal, before_qed, after_qed}))) = |
17359 | 339 |
pretty_facts "using " ctxt |
340 |
(if mode <> Backward orelse null using then NONE else SOME using) @ |
|
21442 | 341 |
[Pretty.str ("goal" ^ |
342 |
description [levels_up (i div 2), subgoals (Thm.nprems_of goal)] ^ ":")] @ |
|
17359 | 343 |
pretty_goals_local ctxt bg (true, ! show_main_goal) (! Display.goals_limit) goal |
344 |
| prt_goal NONE = []; |
|
6848 | 345 |
|
17359 | 346 |
val prt_ctxt = |
347 |
if ! verbose orelse mode = Forward then ProofContext.pretty_context context |
|
18670 | 348 |
else if mode = Backward then ProofContext.pretty_ctxt context |
7575 | 349 |
else []; |
17359 | 350 |
in |
351 |
[Pretty.str ("proof (" ^ mode_name mode ^ "): step " ^ string_of_int nr ^ |
|
352 |
(if ! verbose then ", depth " ^ string_of_int (level state div 2 - 1) else "")), |
|
353 |
Pretty.str ""] @ |
|
354 |
(if null prt_ctxt then [] else prt_ctxt @ [Pretty.str ""]) @ |
|
355 |
(if ! verbose orelse mode = Forward then |
|
356 |
pretty_facts "" context facts @ prt_goal (try find_goal state) |
|
357 |
else if mode = Chain then pretty_facts "picking " context facts |
|
358 |
else prt_goal (try find_goal state)) |
|
359 |
end; |
|
5820 | 360 |
|
12085 | 361 |
fun pretty_goals main state = |
19188 | 362 |
let val (ctxt, (_, goal)) = get_goal state |
17359 | 363 |
in pretty_goals_local ctxt "" (false, main) (! Display.goals_limit) goal end; |
10320 | 364 |
|
5820 | 365 |
|
366 |
||
367 |
(** proof steps **) |
|
368 |
||
17359 | 369 |
(* refine via method *) |
5820 | 370 |
|
8234 | 371 |
local |
372 |
||
16146 | 373 |
fun goalN i = "goal" ^ string_of_int i; |
374 |
fun goals st = map goalN (1 upto Thm.nprems_of st); |
|
375 |
||
376 |
fun no_goal_cases st = map (rpair NONE) (goals st); |
|
377 |
||
378 |
fun goal_cases st = |
|
18607 | 379 |
RuleCases.make_common true (Thm.theory_of_thm st, Thm.prop_of st) (map (rpair []) (goals st)); |
16146 | 380 |
|
17112 | 381 |
fun apply_method current_context meth_fun state = |
6848 | 382 |
let |
17859 | 383 |
val (goal_ctxt, (_, {statement, using, goal, before_qed, after_qed})) = find_goal state; |
17112 | 384 |
val meth = meth_fun (if current_context then context_of state else goal_ctxt); |
16146 | 385 |
in |
18228 | 386 |
Method.apply meth using goal |> Seq.map (fn (meth_cases, goal') => |
6848 | 387 |
state |
16146 | 388 |
|> map_goal |
18475 | 389 |
(ProofContext.add_cases false (no_goal_cases goal @ goal_cases goal') #> |
390 |
ProofContext.add_cases true meth_cases) |
|
17859 | 391 |
(K (statement, using, goal', before_qed, after_qed))) |
16146 | 392 |
end; |
5820 | 393 |
|
19188 | 394 |
fun select_goals n meth state = |
19224 | 395 |
state |
396 |
|> (#2 o #2 o get_goal) |
|
21687 | 397 |
|> ALLGOALS Goal.conjunction_tac |
19224 | 398 |
|> Seq.maps (fn goal => |
19188 | 399 |
state |
21687 | 400 |
|> Seq.lift set_goal (Goal.extract 1 n goal |> Seq.maps (Goal.conjunction_tac 1)) |
19188 | 401 |
|> Seq.maps meth |
402 |
|> Seq.maps (fn state' => state' |
|
403 |
|> Seq.lift set_goal (Goal.retrofit 1 n (#2 (#2 (get_goal state'))) goal)) |
|
19224 | 404 |
|> Seq.maps (apply_method true (K Method.succeed))); |
19188 | 405 |
|
17112 | 406 |
fun apply_text cc text state = |
407 |
let |
|
408 |
val thy = theory_of state; |
|
409 |
||
410 |
fun eval (Method.Basic m) = apply_method cc m |
|
411 |
| eval (Method.Source src) = apply_method cc (Method.method thy src) |
|
20031 | 412 |
| eval (Method.Source_i src) = apply_method cc (Method.method_i thy src) |
17112 | 413 |
| eval (Method.Then txts) = Seq.EVERY (map eval txts) |
414 |
| eval (Method.Orelse txts) = Seq.FIRST (map eval txts) |
|
415 |
| eval (Method.Try txt) = Seq.TRY (eval txt) |
|
19188 | 416 |
| eval (Method.Repeat1 txt) = Seq.REPEAT1 (eval txt) |
417 |
| eval (Method.SelectGoals (n, txt)) = select_goals n (eval txt); |
|
17112 | 418 |
in eval text state end; |
419 |
||
8234 | 420 |
in |
421 |
||
17112 | 422 |
val refine = apply_text true; |
423 |
val refine_end = apply_text false; |
|
8234 | 424 |
|
18908 | 425 |
fun refine_insert [] = I |
426 |
| refine_insert ths = Seq.hd o refine (Method.Basic (K (Method.insert ths))); |
|
427 |
||
8234 | 428 |
end; |
429 |
||
5820 | 430 |
|
17359 | 431 |
(* refine via sub-proof *) |
432 |
||
20208 | 433 |
fun goal_tac rule = |
21687 | 434 |
Goal.norm_hhf_tac THEN' Tactic.rtac rule THEN_ALL_NEW |
435 |
(Goal.norm_hhf_tac THEN' (SUBGOAL (fn (goal, i) => |
|
18186 | 436 |
if can Logic.unprotect (Logic.strip_assums_concl goal) then |
437 |
Tactic.etac Drule.protectI i |
|
438 |
else all_tac))); |
|
11816 | 439 |
|
19915 | 440 |
fun refine_goals print_rule inner raw_rules state = |
441 |
let |
|
442 |
val (outer, (_, goal)) = get_goal state; |
|
20208 | 443 |
fun refine rule st = (print_rule outer rule; FINDGOAL (goal_tac rule) st); |
19915 | 444 |
in |
445 |
raw_rules |
|
20309 | 446 |
|> ProofContext.goal_export inner outer |
447 |
|> (fn rules => Seq.lift set_goal (EVERY (map refine rules) goal) state) |
|
19915 | 448 |
end; |
17359 | 449 |
|
6932 | 450 |
|
17359 | 451 |
(* conclude_goal *) |
6932 | 452 |
|
18503
841137f20307
goal/qed: proper treatment of two levels of conjunctions;
wenzelm
parents:
18475
diff
changeset
|
453 |
fun conclude_goal state goal propss = |
5820 | 454 |
let |
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
455 |
val thy = theory_of state; |
5820 | 456 |
val ctxt = context_of state; |
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
457 |
val string_of_term = ProofContext.string_of_term ctxt; |
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
458 |
val string_of_thm = ProofContext.string_of_thm ctxt; |
5820 | 459 |
|
17359 | 460 |
val ngoals = Thm.nprems_of goal; |
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
461 |
val _ = ngoals = 0 orelse error (Pretty.string_of (Pretty.chunks |
17359 | 462 |
(pretty_goals_local ctxt "" (true, ! show_main_goal) (! Display.goals_limit) goal @ |
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
463 |
[Pretty.str (string_of_int ngoals ^ " unsolved goal(s)!")]))); |
20224
9c40a144ee0e
moved basic assumption operations from structure ProofContext to Assumption;
wenzelm
parents:
20208
diff
changeset
|
464 |
|
9c40a144ee0e
moved basic assumption operations from structure ProofContext to Assumption;
wenzelm
parents:
20208
diff
changeset
|
465 |
val extra_hyps = Assumption.extra_hyps ctxt goal; |
9c40a144ee0e
moved basic assumption operations from structure ProofContext to Assumption;
wenzelm
parents:
20208
diff
changeset
|
466 |
val _ = null extra_hyps orelse |
9c40a144ee0e
moved basic assumption operations from structure ProofContext to Assumption;
wenzelm
parents:
20208
diff
changeset
|
467 |
error ("Additional hypotheses:\n" ^ cat_lines (map string_of_term extra_hyps)); |
5820 | 468 |
|
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
469 |
val (results, th) = `(Conjunction.elim_precise (map length propss)) (Goal.conclude goal) |
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
470 |
handle THM _ => error ("Lost goal structure:\n" ^ string_of_thm goal); |
19862 | 471 |
val _ = Unify.matches_list thy (flat propss) (map Thm.prop_of (flat results)) orelse |
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
472 |
error ("Proved a different theorem:\n" ^ string_of_thm th); |
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
473 |
in results end; |
5820 | 474 |
|
475 |
||
476 |
||
477 |
(*** structured proof commands ***) |
|
478 |
||
17112 | 479 |
(** context elements **) |
5820 | 480 |
|
17112 | 481 |
(* bindings *) |
5820 | 482 |
|
16813 | 483 |
local |
484 |
||
17359 | 485 |
fun gen_bind bind args state = |
5820 | 486 |
state |
487 |
|> assert_forward |
|
18308 | 488 |
|> map_context (bind args #> snd) |
17359 | 489 |
|> put_facts NONE; |
5820 | 490 |
|
16813 | 491 |
in |
492 |
||
8617
33e2bd53aec3
support Hindley-Milner polymorphisms in binds and facts;
wenzelm
parents:
8582
diff
changeset
|
493 |
val match_bind = gen_bind (ProofContext.match_bind false); |
33e2bd53aec3
support Hindley-Milner polymorphisms in binds and facts;
wenzelm
parents:
8582
diff
changeset
|
494 |
val match_bind_i = gen_bind (ProofContext.match_bind_i false); |
33e2bd53aec3
support Hindley-Milner polymorphisms in binds and facts;
wenzelm
parents:
8582
diff
changeset
|
495 |
val let_bind = gen_bind (ProofContext.match_bind true); |
33e2bd53aec3
support Hindley-Milner polymorphisms in binds and facts;
wenzelm
parents:
8582
diff
changeset
|
496 |
val let_bind_i = gen_bind (ProofContext.match_bind_i true); |
5820 | 497 |
|
16813 | 498 |
end; |
499 |
||
5820 | 500 |
|
17359 | 501 |
(* fix *) |
9196 | 502 |
|
12714 | 503 |
local |
504 |
||
18670 | 505 |
fun gen_fix add_fixes args = |
17359 | 506 |
assert_forward |
19846 | 507 |
#> map_context (snd o add_fixes args) |
17359 | 508 |
#> put_facts NONE; |
5820 | 509 |
|
16813 | 510 |
in |
511 |
||
18670 | 512 |
val fix = gen_fix ProofContext.add_fixes; |
513 |
val fix_i = gen_fix ProofContext.add_fixes_i; |
|
5820 | 514 |
|
16813 | 515 |
end; |
516 |
||
5820 | 517 |
|
17359 | 518 |
(* assume etc. *) |
5820 | 519 |
|
16813 | 520 |
local |
521 |
||
17112 | 522 |
fun gen_assume asm prep_att exp args state = |
5820 | 523 |
state |
524 |
|> assert_forward |
|
17112 | 525 |
|> map_context_result (asm exp (Attrib.map_specs (prep_att (theory_of state)) args)) |
17359 | 526 |
|> these_factss [] |> #2; |
6932 | 527 |
|
16813 | 528 |
in |
529 |
||
18728 | 530 |
val assm = gen_assume ProofContext.add_assms Attrib.attribute; |
18670 | 531 |
val assm_i = gen_assume ProofContext.add_assms_i (K I); |
20224
9c40a144ee0e
moved basic assumption operations from structure ProofContext to Assumption;
wenzelm
parents:
20208
diff
changeset
|
532 |
val assume = assm Assumption.assume_export; |
9c40a144ee0e
moved basic assumption operations from structure ProofContext to Assumption;
wenzelm
parents:
20208
diff
changeset
|
533 |
val assume_i = assm_i Assumption.assume_export; |
9c40a144ee0e
moved basic assumption operations from structure ProofContext to Assumption;
wenzelm
parents:
20208
diff
changeset
|
534 |
val presume = assm Assumption.presume_export; |
9c40a144ee0e
moved basic assumption operations from structure ProofContext to Assumption;
wenzelm
parents:
20208
diff
changeset
|
535 |
val presume_i = assm_i Assumption.presume_export; |
5820 | 536 |
|
16813 | 537 |
end; |
538 |
||
7271 | 539 |
|
17359 | 540 |
(* def *) |
11891 | 541 |
|
16813 | 542 |
local |
543 |
||
20913 | 544 |
fun gen_def prep_att prep_vars prep_binds args state = |
11891 | 545 |
let |
546 |
val _ = assert_forward state; |
|
17112 | 547 |
val thy = theory_of state; |
20913 | 548 |
val ctxt = context_of state; |
11891 | 549 |
|
20913 | 550 |
val (raw_name_atts, (raw_vars, raw_rhss)) = args |> split_list ||> split_list; |
551 |
val name_atts = map (apsnd (map (prep_att thy))) raw_name_atts; |
|
11891 | 552 |
in |
20913 | 553 |
state |
554 |
|> map_context_result (prep_vars (map (fn (x, mx) => (x, NONE, mx)) raw_vars)) |
|
555 |
|>> map (fn (x, _, mx) => (x, mx)) |
|
556 |
|-> (fn vars => |
|
557 |
map_context_result (prep_binds false (map swap raw_rhss)) |
|
558 |
#-> (fn rhss => map_context_result (LocalDefs.add_defs (vars ~~ (name_atts ~~ rhss))))) |
|
559 |
|-> (put_facts o SOME o map (#2 o #2)) |
|
11891 | 560 |
end; |
561 |
||
16813 | 562 |
in |
563 |
||
20913 | 564 |
val def = gen_def Attrib.attribute ProofContext.read_vars ProofContext.match_bind; |
565 |
val def_i = gen_def (K I) ProofContext.cert_vars ProofContext.match_bind_i; |
|
11891 | 566 |
|
16813 | 567 |
end; |
568 |
||
11891 | 569 |
|
8374 | 570 |
|
17112 | 571 |
(** facts **) |
5820 | 572 |
|
17359 | 573 |
(* chain *) |
5820 | 574 |
|
17359 | 575 |
val chain = |
576 |
assert_forward |
|
577 |
#> tap the_facts |
|
578 |
#> enter_chain; |
|
5820 | 579 |
|
17359 | 580 |
fun chain_facts facts = |
581 |
put_facts (SOME facts) |
|
582 |
#> chain; |
|
5820 | 583 |
|
584 |
||
17359 | 585 |
(* note etc. *) |
17112 | 586 |
|
17166 | 587 |
fun no_binding args = map (pair ("", [])) args; |
17112 | 588 |
|
589 |
local |
|
590 |
||
17359 | 591 |
fun gen_thmss note_ctxt more_facts opt_chain opt_result prep_atts args state = |
17112 | 592 |
state |
593 |
|> assert_forward |
|
594 |
|> map_context_result (note_ctxt (Attrib.map_facts (prep_atts (theory_of state)) args)) |
|
595 |
|> these_factss (more_facts state) |
|
17359 | 596 |
||> opt_chain |
597 |
|> opt_result; |
|
17112 | 598 |
|
599 |
in |
|
600 |
||
21442 | 601 |
val note_thmss = gen_thmss (ProofContext.note_thmss "") (K []) I #2 Attrib.attribute; |
602 |
val note_thmss_i = gen_thmss (ProofContext.note_thmss_i "") (K []) I #2 (K I); |
|
17112 | 603 |
|
604 |
val from_thmss = |
|
21442 | 605 |
gen_thmss (ProofContext.note_thmss "") (K []) chain #2 Attrib.attribute o no_binding; |
606 |
val from_thmss_i = gen_thmss (ProofContext.note_thmss_i "") (K []) chain #2 (K I) o no_binding; |
|
17112 | 607 |
|
608 |
val with_thmss = |
|
21442 | 609 |
gen_thmss (ProofContext.note_thmss "") the_facts chain #2 Attrib.attribute o no_binding; |
610 |
val with_thmss_i = gen_thmss (ProofContext.note_thmss_i "") the_facts chain #2 (K I) o no_binding; |
|
17359 | 611 |
|
18808 | 612 |
val local_results = |
21442 | 613 |
gen_thmss (ProofContext.note_thmss_i "") (K []) I I (K I) o map (apsnd Thm.simple_fact); |
17359 | 614 |
|
615 |
fun get_thmss state srcs = the_facts (note_thmss [(("", []), srcs)] state); |
|
17112 | 616 |
|
617 |
end; |
|
618 |
||
619 |
||
18548 | 620 |
(* using/unfolding *) |
17112 | 621 |
|
622 |
local |
|
623 |
||
18548 | 624 |
fun gen_using f g note prep_atts args state = |
17112 | 625 |
state |
626 |
|> assert_backward |
|
21442 | 627 |
|> map_context_result |
628 |
(note "" (Attrib.map_facts (prep_atts (theory_of state)) (no_binding args))) |
|
18843 | 629 |
|> (fn (named_facts, state') => |
630 |
state' |> map_goal I (fn (statement, using, goal, before_qed, after_qed) => |
|
631 |
let |
|
632 |
val ctxt = context_of state'; |
|
19482
9f11af8f7ef9
tuned basic list operators (flat, maps, map_filter);
wenzelm
parents:
19475
diff
changeset
|
633 |
val ths = maps snd named_facts; |
18843 | 634 |
in (statement, f ctxt ths using, g ctxt ths goal, before_qed, after_qed) end)); |
18548 | 635 |
|
18843 | 636 |
fun append_using _ ths using = using @ ths; |
18878 | 637 |
fun unfold_using ctxt ths = map (LocalDefs.unfold ctxt ths); |
638 |
val unfold_goals = LocalDefs.unfold_goals; |
|
17112 | 639 |
|
640 |
in |
|
641 |
||
18843 | 642 |
val using = gen_using append_using (K (K I)) ProofContext.note_thmss Attrib.attribute; |
643 |
val using_i = gen_using append_using (K (K I)) ProofContext.note_thmss_i (K I); |
|
18826 | 644 |
val unfolding = gen_using unfold_using unfold_goals ProofContext.note_thmss Attrib.attribute; |
645 |
val unfolding_i = gen_using unfold_using unfold_goals ProofContext.note_thmss_i (K I); |
|
17112 | 646 |
|
647 |
end; |
|
648 |
||
649 |
||
650 |
(* case *) |
|
651 |
||
652 |
local |
|
653 |
||
654 |
fun gen_invoke_case prep_att (name, xs, raw_atts) state = |
|
655 |
let |
|
656 |
val atts = map (prep_att (theory_of state)) raw_atts; |
|
19078 | 657 |
val (asms, state') = state |> map_context_result (fn ctxt => |
658 |
ctxt |> ProofContext.apply_case (ProofContext.get_case ctxt name xs)); |
|
19585 | 659 |
val assumptions = asms |> map (fn (a, ts) => ((a, atts), map (rpair []) ts)); |
17112 | 660 |
in |
661 |
state' |
|
17359 | 662 |
|> map_context (ProofContext.qualified_names #> ProofContext.no_base_names) |
17112 | 663 |
|> assume_i assumptions |
17976 | 664 |
|> add_binds_i AutoBind.no_facts |
17112 | 665 |
|> map_context (ProofContext.restore_naming (context_of state)) |
21449 | 666 |
|> `the_facts |-> (fn thms => note_thmss_i [((name, []), [(thms, [])])]) |
17112 | 667 |
end; |
668 |
||
669 |
in |
|
670 |
||
18728 | 671 |
val invoke_case = gen_invoke_case Attrib.attribute; |
17112 | 672 |
val invoke_case_i = gen_invoke_case (K I); |
673 |
||
674 |
end; |
|
675 |
||
676 |
||
677 |
||
17359 | 678 |
(** proof structure **) |
679 |
||
680 |
(* blocks *) |
|
681 |
||
682 |
val begin_block = |
|
683 |
assert_forward |
|
684 |
#> open_block |
|
685 |
#> put_goal NONE |
|
686 |
#> open_block; |
|
687 |
||
688 |
val next_block = |
|
689 |
assert_forward |
|
690 |
#> close_block |
|
691 |
#> open_block |
|
692 |
#> put_goal NONE |
|
693 |
#> put_facts NONE; |
|
694 |
||
695 |
fun end_block state = |
|
696 |
state |
|
697 |
|> assert_forward |
|
698 |
|> close_block |
|
699 |
|> assert_current_goal false |
|
700 |
|> close_block |
|
701 |
|> export_facts state; |
|
702 |
||
703 |
||
704 |
(* sub-proofs *) |
|
705 |
||
706 |
fun proof opt_text = |
|
707 |
assert_backward |
|
17859 | 708 |
#> refine (the_default Method.default_text opt_text) |
17359 | 709 |
#> Seq.map (using_facts [] #> enter_forward); |
710 |
||
711 |
fun end_proof bot txt = |
|
712 |
assert_forward |
|
713 |
#> assert_bottom bot |
|
714 |
#> close_block |
|
715 |
#> assert_current_goal true |
|
716 |
#> using_facts [] |
|
17859 | 717 |
#> `before_qed #-> (refine o the_default Method.succeed_text) |
718 |
#> Seq.maps (refine (Method.finish_text txt)); |
|
17359 | 719 |
|
720 |
||
721 |
(* unstructured refinement *) |
|
722 |
||
723 |
fun defer i = assert_no_chain #> refine (Method.Basic (K (Method.defer i))); |
|
724 |
fun prefer i = assert_no_chain #> refine (Method.Basic (K (Method.prefer i))); |
|
725 |
||
726 |
fun apply text = assert_backward #> refine text #> Seq.map (using_facts []); |
|
727 |
fun apply_end text = assert_forward #> refine_end text; |
|
728 |
||
729 |
||
730 |
||
17112 | 731 |
(** goals **) |
732 |
||
17359 | 733 |
(* generic goals *) |
734 |
||
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
735 |
local |
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
736 |
|
19846 | 737 |
fun implicit_vars dest add props = |
738 |
let |
|
739 |
val (explicit_vars, props') = take_prefix (can dest) props |>> map dest; |
|
740 |
val vars = rev (subtract (op =) explicit_vars (fold add props [])); |
|
741 |
val _ = |
|
742 |
if null vars then () |
|
743 |
else warning ("Goal statement contains unbound schematic variable(s): " ^ |
|
744 |
commas_quote (map (Term.string_of_vname o fst) vars)); |
|
745 |
in (rev vars, props') end; |
|
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
746 |
|
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
747 |
fun refine_terms n = |
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
748 |
refine (Method.Basic (K (Method.RAW_METHOD |
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
749 |
(K (HEADGOAL (PRECISE_CONJUNCTS n |
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
750 |
(HEADGOAL (CONJUNCTS (ALLGOALS (rtac Drule.termI)))))))))) |
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
751 |
#> Seq.hd; |
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
752 |
|
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
753 |
in |
17359 | 754 |
|
17859 | 755 |
fun generic_goal prepp kind before_qed after_qed raw_propp state = |
5820 | 756 |
let |
17359 | 757 |
val thy = theory_of state; |
758 |
val chaining = can assert_chain state; |
|
759 |
||
760 |
val ((propss, after_ctxt), goal_state) = |
|
5936 | 761 |
state |
762 |
|> assert_forward_or_chain |
|
763 |
|> enter_forward |
|
17359 | 764 |
|> open_block |
17859 | 765 |
|> map_context_result (fn ctxt => swap (prepp (ctxt, raw_propp))); |
19482
9f11af8f7ef9
tuned basic list operators (flat, maps, map_filter);
wenzelm
parents:
19475
diff
changeset
|
766 |
val props = flat propss; |
15703 | 767 |
|
19846 | 768 |
val (_, props') = |
769 |
implicit_vars (dest_TVar o Logic.dest_type o Logic.dest_term) Term.add_tvars props; |
|
770 |
val (vars, _) = implicit_vars (dest_Var o Logic.dest_term) Term.add_vars props'; |
|
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
771 |
|
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
772 |
val propss' = map (Logic.mk_term o Var) vars :: propss; |
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
773 |
val goal = Goal.init (Thm.cterm_of thy (Logic.mk_conjunction_list2 propss')); |
18124 | 774 |
val after_qed' = after_qed |>> (fn after_local => |
775 |
fn results => map_context after_ctxt #> after_local results); |
|
5820 | 776 |
in |
17359 | 777 |
goal_state |
21727 | 778 |
|> map_context (init_context #> Variable.set_body true) |
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
779 |
|> put_goal (SOME (make_goal ((kind, propss'), [], goal, before_qed, after_qed'))) |
18475 | 780 |
|> map_context (ProofContext.add_cases false (AutoBind.cases thy props)) |
17359 | 781 |
|> map_context (ProofContext.auto_bind_goal props) |
21565 | 782 |
|> chaining ? (`the_facts #-> using_facts) |
17359 | 783 |
|> put_facts NONE |
784 |
|> open_block |
|
785 |
|> put_goal NONE |
|
5820 | 786 |
|> enter_backward |
21565 | 787 |
|> not (null vars) ? refine_terms (length propss') |
788 |
|> null props ? (refine (Method.Basic Method.assumption) #> Seq.hd) |
|
5820 | 789 |
end; |
790 |
||
17359 | 791 |
fun generic_qed state = |
12503 | 792 |
let |
18548 | 793 |
val (goal_ctxt, {statement = (_, stmt), using = _, goal, before_qed = _, after_qed}) = |
17859 | 794 |
current_goal state; |
8617
33e2bd53aec3
support Hindley-Milner polymorphisms in binds and facts;
wenzelm
parents:
8582
diff
changeset
|
795 |
val outer_state = state |> close_block; |
33e2bd53aec3
support Hindley-Milner polymorphisms in binds and facts;
wenzelm
parents:
8582
diff
changeset
|
796 |
val outer_ctxt = context_of outer_state; |
33e2bd53aec3
support Hindley-Milner polymorphisms in binds and facts;
wenzelm
parents:
8582
diff
changeset
|
797 |
|
18503
841137f20307
goal/qed: proper treatment of two levels of conjunctions;
wenzelm
parents:
18475
diff
changeset
|
798 |
val props = |
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
799 |
flat (tl stmt) |
19915 | 800 |
|> Variable.exportT_terms goal_ctxt outer_ctxt; |
17359 | 801 |
val results = |
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
802 |
tl (conclude_goal state goal stmt) |
20309 | 803 |
|> burrow (ProofContext.export goal_ctxt outer_ctxt); |
17359 | 804 |
in |
805 |
outer_state |
|
806 |
|> map_context (ProofContext.auto_bind_facts props) |
|
18124 | 807 |
|> pair (after_qed, results) |
17359 | 808 |
end; |
809 |
||
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
810 |
end; |
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
811 |
|
9469 | 812 |
|
17359 | 813 |
(* local goals *) |
814 |
||
17859 | 815 |
fun local_goal print_results prep_att prepp kind before_qed after_qed stmt state = |
17359 | 816 |
let |
21362
3a2ab1dce297
simplified Proof.theorem(_i) interface -- removed target support;
wenzelm
parents:
21274
diff
changeset
|
817 |
val thy = theory_of state; |
3a2ab1dce297
simplified Proof.theorem(_i) interface -- removed target support;
wenzelm
parents:
21274
diff
changeset
|
818 |
val ((names, attss), propp) = |
3a2ab1dce297
simplified Proof.theorem(_i) interface -- removed target support;
wenzelm
parents:
21274
diff
changeset
|
819 |
Attrib.map_specs (prep_att thy) stmt |> split_list |>> split_list; |
17359 | 820 |
|
18124 | 821 |
fun after_qed' results = |
18808 | 822 |
local_results ((names ~~ attss) ~~ results) |
17359 | 823 |
#-> (fn res => tap (fn st => print_results (context_of st) ((kind, ""), res) : unit)) |
18124 | 824 |
#> after_qed results; |
5820 | 825 |
in |
17359 | 826 |
state |
21362
3a2ab1dce297
simplified Proof.theorem(_i) interface -- removed target support;
wenzelm
parents:
21274
diff
changeset
|
827 |
|> generic_goal prepp kind before_qed (after_qed', K I) propp |
19900
21a99d88d925
ProofContext: moved variable operations to struct Variable;
wenzelm
parents:
19862
diff
changeset
|
828 |
|> tap (Variable.warn_extra_tfrees (context_of state) o context_of) |
5820 | 829 |
end; |
830 |
||
17359 | 831 |
fun local_qed txt = |
20309 | 832 |
end_proof false txt #> |
833 |
Seq.maps (generic_qed #-> (fn ((after_qed, _), results) => after_qed results)); |
|
5820 | 834 |
|
835 |
||
17359 | 836 |
(* global goals *) |
837 |
||
21442 | 838 |
fun global_goal prepp before_qed after_qed propp ctxt = |
21362
3a2ab1dce297
simplified Proof.theorem(_i) interface -- removed target support;
wenzelm
parents:
21274
diff
changeset
|
839 |
init ctxt |
21442 | 840 |
|> generic_goal (prepp #> ProofContext.auto_fixes) "" |
21362
3a2ab1dce297
simplified Proof.theorem(_i) interface -- removed target support;
wenzelm
parents:
21274
diff
changeset
|
841 |
before_qed (K Seq.single, after_qed) propp; |
17359 | 842 |
|
21362
3a2ab1dce297
simplified Proof.theorem(_i) interface -- removed target support;
wenzelm
parents:
21274
diff
changeset
|
843 |
val theorem = global_goal ProofContext.bind_propp_schematic; |
3a2ab1dce297
simplified Proof.theorem(_i) interface -- removed target support;
wenzelm
parents:
21274
diff
changeset
|
844 |
val theorem_i = global_goal ProofContext.bind_propp_schematic_i; |
12065 | 845 |
|
18678 | 846 |
fun check_result msg sq = |
17112 | 847 |
(case Seq.pull sq of |
18678 | 848 |
NONE => error msg |
19475 | 849 |
| SOME (s', sq') => Seq.cons s' sq'); |
17112 | 850 |
|
17359 | 851 |
fun global_qeds txt = |
852 |
end_proof true txt |
|
20309 | 853 |
#> Seq.map (generic_qed #> (fn (((_, after_qed), results), state) => |
20363
f34c5dbe74d5
global goals/qeds: after_qed operates on Proof.context (potentially local_theory);
wenzelm
parents:
20341
diff
changeset
|
854 |
after_qed results (context_of state))) |
17112 | 855 |
|> Seq.DETERM; (*backtracking may destroy theory!*) |
856 |
||
18678 | 857 |
fun global_qed txt = |
858 |
global_qeds txt |
|
859 |
#> check_result "Failed to finish proof" |
|
860 |
#> Seq.hd; |
|
12959 | 861 |
|
5820 | 862 |
|
17359 | 863 |
(* concluding steps *) |
17112 | 864 |
|
17359 | 865 |
fun local_terminal_proof (text, opt_text) = |
866 |
proof (SOME text) #> Seq.maps (local_qed (opt_text, true)); |
|
17112 | 867 |
|
868 |
val local_default_proof = local_terminal_proof (Method.default_text, NONE); |
|
869 |
val local_immediate_proof = local_terminal_proof (Method.this_text, NONE); |
|
17359 | 870 |
val local_done_proof = proof (SOME Method.done_text) #> Seq.maps (local_qed (NONE, false)); |
871 |
fun local_skip_proof int = local_terminal_proof (Method.sorry_text int, NONE); |
|
17112 | 872 |
|
18678 | 873 |
fun global_term_proof immed (text, opt_text) = |
874 |
proof (SOME text) |
|
875 |
#> check_result "Terminal proof method failed" |
|
876 |
#> Seq.maps (global_qeds (opt_text, immed)) |
|
877 |
#> check_result "Failed to finish proof (after successful terminal method)" |
|
878 |
#> Seq.hd; |
|
17112 | 879 |
|
880 |
val global_terminal_proof = global_term_proof true; |
|
881 |
val global_default_proof = global_terminal_proof (Method.default_text, NONE); |
|
882 |
val global_immediate_proof = global_terminal_proof (Method.this_text, NONE); |
|
883 |
val global_done_proof = global_term_proof false (Method.done_text, NONE); |
|
17359 | 884 |
fun global_skip_proof int = global_terminal_proof (Method.sorry_text int, NONE); |
5820 | 885 |
|
6896 | 886 |
|
17359 | 887 |
(* common goal statements *) |
888 |
||
889 |
local |
|
890 |
||
17859 | 891 |
fun gen_have prep_att prepp before_qed after_qed stmt int = |
892 |
local_goal (ProofDisplay.print_results int) prep_att prepp "have" before_qed after_qed stmt; |
|
6896 | 893 |
|
17859 | 894 |
fun gen_show prep_att prepp before_qed after_qed stmt int state = |
17359 | 895 |
let |
896 |
val testing = ref false; |
|
897 |
val rule = ref (NONE: thm option); |
|
898 |
fun fail_msg ctxt = |
|
899 |
"Local statement will fail to solve any pending goal" :: |
|
900 |
(case ! rule of NONE => [] | SOME th => [ProofDisplay.string_of_rule ctxt "Failed" th]) |
|
901 |
|> cat_lines; |
|
6896 | 902 |
|
17359 | 903 |
fun print_results ctxt res = |
904 |
if ! testing then () else ProofDisplay.print_results int ctxt res; |
|
905 |
fun print_rule ctxt th = |
|
906 |
if ! testing then rule := SOME th |
|
907 |
else if int then priority (ProofDisplay.string_of_rule ctxt "Successful" th) |
|
908 |
else (); |
|
909 |
val test_proof = |
|
910 |
(Seq.pull oo local_skip_proof) true |
|
911 |
|> setmp testing true |
|
912 |
|> setmp proofs 0 |
|
913 |
|> capture; |
|
6896 | 914 |
|
18124 | 915 |
fun after_qed' results = |
19482
9f11af8f7ef9
tuned basic list operators (flat, maps, map_filter);
wenzelm
parents:
19475
diff
changeset
|
916 |
refine_goals print_rule (context_of state) (flat results) |
18124 | 917 |
#> Seq.maps (after_qed results); |
17359 | 918 |
in |
919 |
state |
|
17859 | 920 |
|> local_goal print_results prep_att prepp "show" before_qed after_qed' stmt |
21565 | 921 |
|> int ? (fn goal_state => |
17359 | 922 |
(case test_proof goal_state of |
923 |
Result (SOME _) => goal_state |
|
18678 | 924 |
| Result NONE => error (fail_msg (context_of goal_state)) |
17359 | 925 |
| Exn Interrupt => raise Interrupt |
926 |
| Exn exn => raise EXCEPTION (exn, fail_msg (context_of goal_state)))) |
|
927 |
end; |
|
928 |
||
929 |
in |
|
930 |
||
18728 | 931 |
val have = gen_have Attrib.attribute ProofContext.bind_propp; |
17359 | 932 |
val have_i = gen_have (K I) ProofContext.bind_propp_i; |
18728 | 933 |
val show = gen_show Attrib.attribute ProofContext.bind_propp; |
17359 | 934 |
val show_i = gen_show (K I) ProofContext.bind_propp_i; |
6896 | 935 |
|
5820 | 936 |
end; |
17359 | 937 |
|
938 |
end; |