src/Pure/Isar/proof.ML
author wenzelm
Sat Oct 13 21:09:20 2012 +0200 (2012-10-13)
changeset 49848 f222a054342e
parent 49847 ed5080c03165
child 49859 52da6a736c32
permissions -rw-r--r--
more informative error of initial/terminal proof steps;
wenzelm@5820
     1
(*  Title:      Pure/Isar/proof.ML
wenzelm@5820
     2
    Author:     Markus Wenzel, TU Muenchen
wenzelm@5820
     3
wenzelm@19000
     4
The Isar/VM proof language interpreter: maintains a structured flow of
wenzelm@19000
     5
context elements, goals, refinements, and facts.
wenzelm@5820
     6
*)
wenzelm@5820
     7
wenzelm@5820
     8
signature PROOF =
wenzelm@5820
     9
sig
wenzelm@33031
    10
  type context = Proof.context
wenzelm@23639
    11
  type method = Method.method
wenzelm@5820
    12
  type state
wenzelm@17359
    13
  val init: context -> state
wenzelm@17359
    14
  val level: state -> int
wenzelm@17359
    15
  val assert_bottom: bool -> state -> state
wenzelm@5820
    16
  val context_of: state -> context
wenzelm@5820
    17
  val theory_of: state -> theory
wenzelm@13377
    18
  val map_context: (context -> context) -> state -> state
bulwahn@40642
    19
  val map_context_result : (context -> 'a * context) -> state -> 'a * state
wenzelm@28278
    20
  val map_contexts: (context -> context) -> state -> state
wenzelm@37949
    21
  val propagate_ml_env: state -> state
wenzelm@30757
    22
  val bind_terms: (indexname * term option) list -> state -> state
wenzelm@26251
    23
  val put_thms: bool -> string * thm list option -> state -> state
wenzelm@6091
    24
  val the_facts: state -> thm list
wenzelm@9469
    25
  val the_fact: state -> thm
wenzelm@47068
    26
  val set_facts: thm list -> state -> state
wenzelm@47068
    27
  val reset_facts: state -> state
wenzelm@6891
    28
  val assert_forward: state -> state
wenzelm@17359
    29
  val assert_chain: state -> state
wenzelm@9469
    30
  val assert_forward_or_chain: state -> state
wenzelm@5820
    31
  val assert_backward: state -> state
wenzelm@8206
    32
  val assert_no_chain: state -> state
wenzelm@5820
    33
  val enter_forward: state -> state
wenzelm@24543
    34
  val goal_message: (unit -> Pretty.T) -> state -> state
wenzelm@12423
    35
  val pretty_state: int -> state -> Pretty.T list
wenzelm@17112
    36
  val refine: Method.text -> state -> state Seq.seq
wenzelm@17112
    37
  val refine_end: Method.text -> state -> state Seq.seq
wenzelm@18908
    38
  val refine_insert: thm list -> state -> state
wenzelm@17359
    39
  val refine_goals: (context -> thm -> unit) -> context -> thm list -> state -> state Seq.seq
wenzelm@33288
    40
  val raw_goal: state -> {context: context, facts: thm list, goal: thm}
wenzelm@33288
    41
  val goal: state -> {context: context, facts: thm list, goal: thm}
wenzelm@33288
    42
  val simple_goal: state -> {context: context, goal: thm}
wenzelm@38721
    43
  val status_markup: state -> Markup.T
wenzelm@36323
    44
  val let_bind: (term list * term) list -> state -> state
wenzelm@36323
    45
  val let_bind_cmd: (string list * string) list -> state -> state
wenzelm@36505
    46
  val write: Syntax.mode -> (term * mixfix) list -> state -> state
wenzelm@36505
    47
  val write_cmd: Syntax.mode -> (string * mixfix) list -> state -> state
wenzelm@36323
    48
  val fix: (binding * typ option * mixfix) list -> state -> state
wenzelm@36323
    49
  val fix_cmd: (binding * string option * mixfix) list -> state -> state
wenzelm@20224
    50
  val assm: Assumption.export ->
wenzelm@36323
    51
    (Thm.binding * (term * term list) list) list -> state -> state
wenzelm@36323
    52
  val assm_cmd: Assumption.export ->
wenzelm@28084
    53
    (Attrib.binding * (string * string list) list) list -> state -> state
wenzelm@36323
    54
  val assume: (Thm.binding * (term * term list) list) list -> state -> state
wenzelm@36323
    55
  val assume_cmd: (Attrib.binding * (string * string list) list) list -> state -> state
wenzelm@36323
    56
  val presume: (Thm.binding * (term * term list) list) list -> state -> state
wenzelm@36323
    57
  val presume_cmd: (Attrib.binding * (string * string list) list) list -> state -> state
wenzelm@36323
    58
  val def: (Thm.binding * ((binding * mixfix) * (term * term list))) list -> state -> state
wenzelm@36323
    59
  val def_cmd: (Attrib.binding * ((binding * mixfix) * (string * string list))) list -> state -> state
wenzelm@17359
    60
  val chain: state -> state
wenzelm@17359
    61
  val chain_facts: thm list -> state -> state
wenzelm@36323
    62
  val note_thmss: (Thm.binding * (thm list * attribute list) list) list -> state -> state
wenzelm@36323
    63
  val note_thmss_cmd: (Attrib.binding * (Facts.ref * Attrib.src list) list) list -> state -> state
wenzelm@36323
    64
  val from_thmss: ((thm list * attribute list) list) list -> state -> state
wenzelm@36323
    65
  val from_thmss_cmd: ((Facts.ref * Attrib.src list) list) list -> state -> state
wenzelm@36323
    66
  val with_thmss: ((thm list * attribute list) list) list -> state -> state
wenzelm@36323
    67
  val with_thmss_cmd: ((Facts.ref * Attrib.src list) list) list -> state -> state
wenzelm@36323
    68
  val using: ((thm list * attribute list) list) list -> state -> state
wenzelm@36323
    69
  val using_cmd: ((Facts.ref * Attrib.src list) list) list -> state -> state
wenzelm@36323
    70
  val unfolding: ((thm list * attribute list) list) list -> state -> state
wenzelm@36323
    71
  val unfolding_cmd: ((Facts.ref * Attrib.src list) list) list -> state -> state
wenzelm@42496
    72
  val invoke_case: string * binding option list * attribute list -> state -> state
wenzelm@42496
    73
  val invoke_case_cmd: string * binding option list * Attrib.src list -> state -> state
wenzelm@17359
    74
  val begin_block: state -> state
wenzelm@17359
    75
  val next_block: state -> state
wenzelm@20309
    76
  val end_block: state -> state
wenzelm@49042
    77
  val begin_notepad: context -> state
wenzelm@49042
    78
  val end_notepad: state -> context
wenzelm@17112
    79
  val proof: Method.text option -> state -> state Seq.seq
wenzelm@17112
    80
  val defer: int option -> state -> state Seq.seq
wenzelm@17112
    81
  val prefer: int -> state -> state Seq.seq
wenzelm@17112
    82
  val apply: Method.text -> state -> state Seq.seq
wenzelm@17112
    83
  val apply_end: Method.text -> state -> state Seq.seq
wenzelm@17359
    84
  val local_goal: (context -> ((string * string) * (string * thm list) list) -> unit) ->
wenzelm@49042
    85
    (context -> 'a -> attribute) ->
wenzelm@45327
    86
    ('b list -> context -> (term list list * (context -> context)) * context) ->
wenzelm@29383
    87
    string -> Method.text option -> (thm list list -> state -> state) ->
haftmann@29581
    88
    ((binding * 'a list) * 'b) list -> state -> state
wenzelm@29383
    89
  val local_qed: Method.text option * bool -> state -> state
wenzelm@21442
    90
  val theorem: Method.text option -> (thm list list -> context -> context) ->
wenzelm@36323
    91
    (term * term list) list list -> context -> state
wenzelm@36323
    92
  val theorem_cmd: Method.text option -> (thm list list -> context -> context) ->
wenzelm@21362
    93
    (string * string list) list list -> context -> state
wenzelm@20363
    94
  val global_qed: Method.text option * bool -> state -> context
wenzelm@29383
    95
  val local_terminal_proof: Method.text * Method.text option -> state -> state
wenzelm@29383
    96
  val local_default_proof: state -> state
wenzelm@29383
    97
  val local_immediate_proof: state -> state
wenzelm@29383
    98
  val local_skip_proof: bool -> state -> state
wenzelm@29383
    99
  val local_done_proof: state -> state
wenzelm@20363
   100
  val global_terminal_proof: Method.text * Method.text option -> state -> context
wenzelm@20363
   101
  val global_default_proof: state -> context
wenzelm@20363
   102
  val global_immediate_proof: state -> context
wenzelm@29383
   103
  val global_skip_proof: bool -> state -> context
wenzelm@20363
   104
  val global_done_proof: state -> context
wenzelm@29383
   105
  val have: Method.text option -> (thm list list -> state -> state) ->
wenzelm@36323
   106
    (Thm.binding * (term * term list) list) list -> bool -> state -> state
wenzelm@36323
   107
  val have_cmd: Method.text option -> (thm list list -> state -> state) ->
wenzelm@28084
   108
    (Attrib.binding * (string * string list) list) list -> bool -> state -> state
wenzelm@29383
   109
  val show: Method.text option -> (thm list list -> state -> state) ->
wenzelm@36323
   110
    (Thm.binding * (term * term list) list) list -> bool -> state -> state
wenzelm@36323
   111
  val show_cmd: Method.text option -> (thm list list -> state -> state) ->
wenzelm@28084
   112
    (Attrib.binding * (string * string list) list) list -> bool -> state -> state
wenzelm@29385
   113
  val schematic_goal: state -> bool
wenzelm@47416
   114
  val local_future_proof: (state -> ('a * state) future) -> state -> 'a future * state
wenzelm@49042
   115
  val global_future_proof: (state -> ('a * context) future) -> state -> 'a future * context
wenzelm@29385
   116
  val local_future_terminal_proof: Method.text * Method.text option -> bool -> state -> state
wenzelm@29385
   117
  val global_future_terminal_proof: Method.text * Method.text option -> bool -> state -> context
wenzelm@5820
   118
end;
wenzelm@5820
   119
wenzelm@13377
   120
structure Proof: PROOF =
wenzelm@5820
   121
struct
wenzelm@5820
   122
wenzelm@33031
   123
type context = Proof.context;
wenzelm@17112
   124
type method = Method.method;
wenzelm@16813
   125
wenzelm@5820
   126
wenzelm@5820
   127
(** proof state **)
wenzelm@5820
   128
wenzelm@17359
   129
(* datatype state *)
wenzelm@5820
   130
wenzelm@17112
   131
datatype mode = Forward | Chain | Backward;
wenzelm@5820
   132
wenzelm@17359
   133
datatype state =
wenzelm@17359
   134
  State of node Stack.T
wenzelm@17359
   135
and node =
wenzelm@7176
   136
  Node of
wenzelm@7176
   137
   {context: context,
wenzelm@7176
   138
    facts: thm list option,
wenzelm@7176
   139
    mode: mode,
wenzelm@17359
   140
    goal: goal option}
wenzelm@17359
   141
and goal =
wenzelm@17359
   142
  Goal of
wenzelm@29346
   143
   {statement: (string * Position.T) * term list list * term,
wenzelm@28410
   144
      (*goal kind and statement (starting with vars), initial proposition*)
wenzelm@25958
   145
    messages: (unit -> Pretty.T) list,    (*persistent messages (hints etc.)*)
wenzelm@25958
   146
    using: thm list,                      (*goal facts*)
wenzelm@25958
   147
    goal: thm,                            (*subgoals ==> statement*)
wenzelm@17859
   148
    before_qed: Method.text option,
wenzelm@18124
   149
    after_qed:
wenzelm@29383
   150
      (thm list list -> state -> state) *
wenzelm@20363
   151
      (thm list list -> context -> context)};
wenzelm@17359
   152
wenzelm@24543
   153
fun make_goal (statement, messages, using, goal, before_qed, after_qed) =
wenzelm@24543
   154
  Goal {statement = statement, messages = messages, using = using, goal = goal,
wenzelm@17859
   155
    before_qed = before_qed, after_qed = after_qed};
wenzelm@5820
   156
wenzelm@7176
   157
fun make_node (context, facts, mode, goal) =
wenzelm@7176
   158
  Node {context = context, facts = facts, mode = mode, goal = goal};
wenzelm@7176
   159
wenzelm@17359
   160
fun map_node f (Node {context, facts, mode, goal}) =
wenzelm@17359
   161
  make_node (f (context, facts, mode, goal));
wenzelm@5820
   162
wenzelm@21727
   163
val init_context =
wenzelm@42360
   164
  Proof_Context.set_stmt true #>
wenzelm@47005
   165
  Proof_Context.map_naming (K Name_Space.local_naming);
wenzelm@21727
   166
wenzelm@21466
   167
fun init ctxt =
wenzelm@21727
   168
  State (Stack.init (make_node (init_context ctxt, NONE, Forward, NONE)));
wenzelm@5820
   169
wenzelm@49011
   170
fun top (State st) = Stack.top st |> (fn Node node => node);
wenzelm@49011
   171
fun map_top f (State st) = State (Stack.map_top (map_node f) st);
wenzelm@28278
   172
fun map_all f (State st) = State (Stack.map_all (map_node f) st);
wenzelm@12045
   173
wenzelm@5820
   174
wenzelm@5820
   175
wenzelm@5820
   176
(** basic proof state operations **)
wenzelm@5820
   177
wenzelm@17359
   178
(* block structure *)
wenzelm@17359
   179
wenzelm@17359
   180
fun open_block (State st) = State (Stack.push st);
wenzelm@17359
   181
wenzelm@18678
   182
fun close_block (State st) = State (Stack.pop st)
wenzelm@47060
   183
  handle List.Empty => error "Unbalanced block parentheses";
wenzelm@17359
   184
wenzelm@17359
   185
fun level (State st) = Stack.level st;
wenzelm@17359
   186
wenzelm@17359
   187
fun assert_bottom b state =
wenzelm@47065
   188
  let val b' = level state <= 2 in
wenzelm@47065
   189
    if b andalso not b' then error "Not at bottom of proof"
wenzelm@47065
   190
    else if not b andalso b' then error "Already at bottom of proof"
wenzelm@17359
   191
    else state
wenzelm@17359
   192
  end;
wenzelm@17359
   193
wenzelm@17359
   194
wenzelm@5820
   195
(* context *)
wenzelm@5820
   196
wenzelm@49011
   197
val context_of = #context o top;
wenzelm@42360
   198
val theory_of = Proof_Context.theory_of o context_of;
wenzelm@5820
   199
wenzelm@47431
   200
fun map_node_context f =
wenzelm@47431
   201
  map_node (fn (ctxt, facts, mode, goal) => (f ctxt, facts, mode, goal));
wenzelm@47431
   202
wenzelm@17359
   203
fun map_context f =
wenzelm@49011
   204
  map_top (fn (ctxt, facts, mode, goal) => (f ctxt, facts, mode, goal));
wenzelm@5820
   205
wenzelm@17359
   206
fun map_context_result f state =
wenzelm@17859
   207
  f (context_of state) ||> (fn ctxt => map_context (K ctxt) state);
wenzelm@5820
   208
wenzelm@28278
   209
fun map_contexts f = map_all (fn (ctxt, facts, mode, goal) => (f ctxt, facts, mode, goal));
wenzelm@28278
   210
wenzelm@37949
   211
fun propagate_ml_env state = map_contexts
wenzelm@37949
   212
  (Context.proof_map (ML_Env.inherit (Context.Proof (context_of state)))) state;
wenzelm@37949
   213
wenzelm@42360
   214
val bind_terms = map_context o Proof_Context.bind_terms;
wenzelm@42360
   215
val put_thms = map_context oo Proof_Context.put_thms;
wenzelm@5820
   216
wenzelm@5820
   217
wenzelm@5820
   218
(* facts *)
wenzelm@5820
   219
wenzelm@49011
   220
val get_facts = #facts o top;
wenzelm@17359
   221
wenzelm@17359
   222
fun the_facts state =
wenzelm@17359
   223
  (case get_facts state of SOME facts => facts
wenzelm@18678
   224
  | NONE => error "No current facts available");
wenzelm@5820
   225
wenzelm@9469
   226
fun the_fact state =
wenzelm@17359
   227
  (case the_facts state of [thm] => thm
wenzelm@18678
   228
  | _ => error "Single theorem expected");
wenzelm@7605
   229
wenzelm@17359
   230
fun put_facts facts =
wenzelm@49011
   231
  map_top (fn (ctxt, _, mode, goal) => (ctxt, facts, mode, goal)) #>
wenzelm@33386
   232
  put_thms true (Auto_Bind.thisN, facts);
wenzelm@5820
   233
wenzelm@47068
   234
val set_facts = put_facts o SOME;
wenzelm@47068
   235
val reset_facts = put_facts NONE;
wenzelm@47068
   236
wenzelm@17359
   237
fun these_factss more_facts (named_factss, state) =
wenzelm@47068
   238
  (named_factss, state |> set_facts (maps snd named_factss @ more_facts));
wenzelm@5820
   239
wenzelm@17359
   240
fun export_facts inner outer =
wenzelm@17359
   241
  (case get_facts inner of
wenzelm@47068
   242
    NONE => reset_facts outer
wenzelm@17359
   243
  | SOME thms =>
wenzelm@17359
   244
      thms
wenzelm@42360
   245
      |> Proof_Context.export (context_of inner) (context_of outer)
wenzelm@47068
   246
      |> (fn ths => set_facts ths outer));
wenzelm@5820
   247
wenzelm@5820
   248
wenzelm@5820
   249
(* mode *)
wenzelm@5820
   250
wenzelm@49011
   251
val get_mode = #mode o top;
wenzelm@49011
   252
fun put_mode mode = map_top (fn (ctxt, facts, _, goal) => (ctxt, facts, mode, goal));
wenzelm@5820
   253
wenzelm@17359
   254
val mode_name = (fn Forward => "state" | Chain => "chain" | Backward => "prove");
wenzelm@5820
   255
wenzelm@5820
   256
fun assert_mode pred state =
wenzelm@5820
   257
  let val mode = get_mode state in
wenzelm@5820
   258
    if pred mode then state
wenzelm@18678
   259
    else error ("Illegal application of proof command in " ^ quote (mode_name mode) ^ " mode")
wenzelm@5820
   260
  end;
wenzelm@5820
   261
wenzelm@19308
   262
val assert_forward = assert_mode (fn mode => mode = Forward);
wenzelm@19308
   263
val assert_chain = assert_mode (fn mode => mode = Chain);
wenzelm@19308
   264
val assert_forward_or_chain = assert_mode (fn mode => mode = Forward orelse mode = Chain);
wenzelm@19308
   265
val assert_backward = assert_mode (fn mode => mode = Backward);
wenzelm@19308
   266
val assert_no_chain = assert_mode (fn mode => mode <> Chain);
wenzelm@5820
   267
wenzelm@17359
   268
val enter_forward = put_mode Forward;
wenzelm@17359
   269
val enter_chain = put_mode Chain;
wenzelm@17359
   270
val enter_backward = put_mode Backward;
wenzelm@5820
   271
wenzelm@17359
   272
wenzelm@17359
   273
(* current goal *)
wenzelm@17359
   274
wenzelm@17359
   275
fun current_goal state =
wenzelm@49011
   276
  (case top state of
wenzelm@17359
   277
    {context, goal = SOME (Goal goal), ...} => (context, goal)
wenzelm@47065
   278
  | _ => error "No current goal");
wenzelm@5820
   279
wenzelm@17359
   280
fun assert_current_goal g state =
wenzelm@17359
   281
  let val g' = can current_goal state in
wenzelm@47065
   282
    if g andalso not g' then error "No goal in this block"
wenzelm@47065
   283
    else if not g andalso g' then error "Goal present in this block"
wenzelm@17359
   284
    else state
wenzelm@17359
   285
  end;
wenzelm@6776
   286
wenzelm@49011
   287
fun put_goal goal = map_top (fn (ctxt, using, mode, _) => (ctxt, using, mode, goal));
wenzelm@17359
   288
wenzelm@47068
   289
val set_goal = put_goal o SOME;
wenzelm@47068
   290
val reset_goal = put_goal NONE;
wenzelm@47068
   291
wenzelm@17859
   292
val before_qed = #before_qed o #2 o current_goal;
wenzelm@17859
   293
wenzelm@17359
   294
wenzelm@17359
   295
(* nested goal *)
wenzelm@5820
   296
wenzelm@47431
   297
fun map_goal f g h (State (Node {context, facts, mode, goal = SOME goal}, node :: nodes)) =
wenzelm@17359
   298
      let
wenzelm@24543
   299
        val Goal {statement, messages, using, goal, before_qed, after_qed} = goal;
wenzelm@24543
   300
        val goal' = make_goal (g (statement, messages, using, goal, before_qed, after_qed));
wenzelm@47431
   301
        val node' = map_node_context h node;
wenzelm@47431
   302
      in State (make_node (f context, facts, mode, SOME goal'), node' :: nodes) end
wenzelm@47431
   303
  | map_goal f g h (State (nd, node :: nodes)) =
wenzelm@47431
   304
      let
wenzelm@47431
   305
        val nd' = map_node_context f nd;
wenzelm@47431
   306
        val State (node', nodes') = map_goal f g h (State (node, nodes));
wenzelm@47431
   307
      in State (nd', node' :: nodes') end
wenzelm@47431
   308
  | map_goal _ _ _ state = state;
wenzelm@5820
   309
wenzelm@47068
   310
fun provide_goal goal = map_goal I (fn (statement, _, using, _, before_qed, after_qed) =>
wenzelm@47431
   311
  (statement, [], using, goal, before_qed, after_qed)) I;
wenzelm@19188
   312
wenzelm@24543
   313
fun goal_message msg = map_goal I (fn (statement, messages, using, goal, before_qed, after_qed) =>
wenzelm@47431
   314
  (statement, msg :: messages, using, goal, before_qed, after_qed)) I;
wenzelm@24543
   315
wenzelm@24556
   316
fun using_facts using = map_goal I (fn (statement, _, _, goal, before_qed, after_qed) =>
wenzelm@47431
   317
  (statement, [], using, goal, before_qed, after_qed)) I;
wenzelm@17359
   318
wenzelm@17359
   319
local
wenzelm@17359
   320
  fun find i state =
wenzelm@17359
   321
    (case try current_goal state of
wenzelm@17359
   322
      SOME (ctxt, goal) => (ctxt, (i, goal))
wenzelm@18678
   323
    | NONE => find (i + 1) (close_block state handle ERROR _ => error "No goal present"));
wenzelm@17359
   324
in val find_goal = find 0 end;
wenzelm@17359
   325
wenzelm@17359
   326
fun get_goal state =
wenzelm@17359
   327
  let val (ctxt, (_, {using, goal, ...})) = find_goal state
wenzelm@17359
   328
  in (ctxt, (using, goal)) end;
wenzelm@5820
   329
wenzelm@5820
   330
wenzelm@5820
   331
wenzelm@12423
   332
(** pretty_state **)
wenzelm@5820
   333
skalberg@15531
   334
fun pretty_facts _ _ NONE = []
skalberg@15531
   335
  | pretty_facts s ctxt (SOME ths) =
wenzelm@32091
   336
      [Pretty.big_list (s ^ "this:") (map (Display.pretty_thm ctxt) ths), Pretty.str ""];
wenzelm@6756
   337
wenzelm@17359
   338
fun pretty_state nr state =
wenzelm@5820
   339
  let
wenzelm@49011
   340
    val {context = ctxt, facts, mode, goal = _} = top state;
wenzelm@42717
   341
    val verbose = Config.get ctxt Proof_Context.verbose;
wenzelm@5820
   342
wenzelm@5820
   343
    fun levels_up 0 = ""
wenzelm@17359
   344
      | levels_up 1 = "1 level up"
wenzelm@17359
   345
      | levels_up i = string_of_int i ^ " levels up";
wenzelm@5820
   346
wenzelm@11556
   347
    fun subgoals 0 = ""
wenzelm@17359
   348
      | subgoals 1 = "1 subgoal"
wenzelm@17359
   349
      | subgoals n = string_of_int n ^ " subgoals";
wenzelm@17359
   350
wenzelm@17359
   351
    fun description strs =
wenzelm@28375
   352
      (case filter_out (fn s => s = "") strs of [] => ""
wenzelm@17359
   353
      | strs' => enclose " (" ")" (commas strs'));
wenzelm@12146
   354
wenzelm@39051
   355
    fun prt_goal (SOME (_, (i,
wenzelm@29416
   356
      {statement = ((_, pos), _, _), messages, using, goal, before_qed = _, after_qed = _}))) =
wenzelm@17359
   357
          pretty_facts "using " ctxt
wenzelm@17359
   358
            (if mode <> Backward orelse null using then NONE else SOME using) @
wenzelm@21442
   359
          [Pretty.str ("goal" ^
wenzelm@21442
   360
            description [levels_up (i div 2), subgoals (Thm.nprems_of goal)] ^ ":")] @
wenzelm@39125
   361
          Goal_Display.pretty_goals ctxt goal @
wenzelm@25958
   362
          (map (fn msg => Position.setmp_thread_data pos msg ()) (rev messages))
wenzelm@17359
   363
      | prt_goal NONE = [];
wenzelm@6848
   364
wenzelm@17359
   365
    val prt_ctxt =
wenzelm@42717
   366
      if verbose orelse mode = Forward then Proof_Context.pretty_context ctxt
wenzelm@42360
   367
      else if mode = Backward then Proof_Context.pretty_ctxt ctxt
wenzelm@7575
   368
      else [];
wenzelm@17359
   369
  in
wenzelm@17359
   370
    [Pretty.str ("proof (" ^ mode_name mode ^ "): step " ^ string_of_int nr ^
wenzelm@42717
   371
      (if verbose then ", depth " ^ string_of_int (level state div 2 - 1) else "")),
wenzelm@17359
   372
      Pretty.str ""] @
wenzelm@17359
   373
    (if null prt_ctxt then [] else prt_ctxt @ [Pretty.str ""]) @
wenzelm@42717
   374
    (if verbose orelse mode = Forward then
wenzelm@39051
   375
       pretty_facts "" ctxt facts @ prt_goal (try find_goal state)
wenzelm@39051
   376
     else if mode = Chain then pretty_facts "picking " ctxt facts
wenzelm@17359
   377
     else prt_goal (try find_goal state))
wenzelm@17359
   378
  end;
wenzelm@5820
   379
wenzelm@5820
   380
wenzelm@5820
   381
wenzelm@5820
   382
(** proof steps **)
wenzelm@5820
   383
wenzelm@17359
   384
(* refine via method *)
wenzelm@5820
   385
wenzelm@8234
   386
local
wenzelm@8234
   387
wenzelm@16146
   388
fun goalN i = "goal" ^ string_of_int i;
wenzelm@16146
   389
fun goals st = map goalN (1 upto Thm.nprems_of st);
wenzelm@16146
   390
wenzelm@16146
   391
fun no_goal_cases st = map (rpair NONE) (goals st);
wenzelm@16146
   392
wenzelm@16146
   393
fun goal_cases st =
wenzelm@47815
   394
  Rule_Cases.make_common
wenzelm@47815
   395
    (Thm.theory_of_thm st, Thm.prop_of st) (map (rpair [] o rpair []) (goals st));
wenzelm@16146
   396
wenzelm@32193
   397
fun apply_method current_context meth state =
wenzelm@6848
   398
  let
wenzelm@24556
   399
    val (goal_ctxt, (_, {statement, messages = _, using, goal, before_qed, after_qed})) =
wenzelm@24543
   400
      find_goal state;
wenzelm@25958
   401
    val ctxt = if current_context then context_of state else goal_ctxt;
wenzelm@16146
   402
  in
wenzelm@32193
   403
    Method.apply meth ctxt using goal |> Seq.map (fn (meth_cases, goal') =>
wenzelm@6848
   404
      state
wenzelm@16146
   405
      |> map_goal
wenzelm@42360
   406
          (Proof_Context.add_cases false (no_goal_cases goal @ goal_cases goal') #>
wenzelm@42360
   407
           Proof_Context.add_cases true meth_cases)
wenzelm@47431
   408
          (K (statement, [], using, goal', before_qed, after_qed)) I)
wenzelm@16146
   409
  end;
wenzelm@5820
   410
wenzelm@19188
   411
fun select_goals n meth state =
wenzelm@19224
   412
  state
wenzelm@19224
   413
  |> (#2 o #2 o get_goal)
wenzelm@21687
   414
  |> ALLGOALS Goal.conjunction_tac
wenzelm@19224
   415
  |> Seq.maps (fn goal =>
wenzelm@19188
   416
    state
wenzelm@47068
   417
    |> Seq.lift provide_goal (Goal.extract 1 n goal |> Seq.maps (Goal.conjunction_tac 1))
wenzelm@19188
   418
    |> Seq.maps meth
wenzelm@19188
   419
    |> Seq.maps (fn state' => state'
wenzelm@47068
   420
      |> Seq.lift provide_goal (Goal.retrofit 1 n (#2 (#2 (get_goal state'))) goal))
wenzelm@32193
   421
    |> Seq.maps (apply_method true (K Method.succeed)));
wenzelm@19188
   422
wenzelm@17112
   423
fun apply_text cc text state =
wenzelm@17112
   424
  let
wenzelm@17112
   425
    val thy = theory_of state;
wenzelm@17112
   426
wenzelm@32193
   427
    fun eval (Method.Basic m) = apply_method cc m
wenzelm@32193
   428
      | eval (Method.Source src) = apply_method cc (Method.method thy src)
wenzelm@32193
   429
      | eval (Method.Source_i src) = apply_method cc (Method.method_i thy src)
wenzelm@17112
   430
      | eval (Method.Then txts) = Seq.EVERY (map eval txts)
wenzelm@17112
   431
      | eval (Method.Orelse txts) = Seq.FIRST (map eval txts)
wenzelm@17112
   432
      | eval (Method.Try txt) = Seq.TRY (eval txt)
wenzelm@19188
   433
      | eval (Method.Repeat1 txt) = Seq.REPEAT1 (eval txt)
wenzelm@19188
   434
      | eval (Method.SelectGoals (n, txt)) = select_goals n (eval txt);
wenzelm@17112
   435
  in eval text state end;
wenzelm@17112
   436
wenzelm@8234
   437
in
wenzelm@8234
   438
wenzelm@17112
   439
val refine = apply_text true;
wenzelm@17112
   440
val refine_end = apply_text false;
wenzelm@32856
   441
fun refine_insert ths = Seq.hd o refine (Method.Basic (K (Method.insert ths)));
wenzelm@18908
   442
wenzelm@8234
   443
end;
wenzelm@8234
   444
wenzelm@5820
   445
wenzelm@17359
   446
(* refine via sub-proof *)
wenzelm@17359
   447
wenzelm@46466
   448
local
wenzelm@46466
   449
wenzelm@30557
   450
fun finish_tac 0 = K all_tac
wenzelm@30557
   451
  | finish_tac n =
wenzelm@30557
   452
      Goal.norm_hhf_tac THEN'
wenzelm@30557
   453
      SUBGOAL (fn (goal, i) =>
wenzelm@30557
   454
        if can Logic.unprotect (Logic.strip_assums_concl goal) then
wenzelm@30557
   455
          Tactic.etac Drule.protectI i THEN finish_tac (n - 1) i
wenzelm@30557
   456
        else finish_tac (n - 1) (i + 1));
wenzelm@30557
   457
wenzelm@20208
   458
fun goal_tac rule =
wenzelm@30557
   459
  Goal.norm_hhf_tac THEN'
wenzelm@30557
   460
  Tactic.rtac rule THEN'
wenzelm@30557
   461
  finish_tac (Thm.nprems_of rule);
wenzelm@11816
   462
wenzelm@46466
   463
fun FINDGOAL tac st =
wenzelm@46466
   464
  let fun find i n = if i > n then Seq.fail else Seq.APPEND (tac i, find (i + 1) n)
wenzelm@46466
   465
  in find 1 (Thm.nprems_of st) st end;
wenzelm@46466
   466
wenzelm@46466
   467
in
wenzelm@46466
   468
wenzelm@19915
   469
fun refine_goals print_rule inner raw_rules state =
wenzelm@19915
   470
  let
wenzelm@19915
   471
    val (outer, (_, goal)) = get_goal state;
wenzelm@20208
   472
    fun refine rule st = (print_rule outer rule; FINDGOAL (goal_tac rule) st);
wenzelm@19915
   473
  in
wenzelm@19915
   474
    raw_rules
wenzelm@42360
   475
    |> Proof_Context.goal_export inner outer
wenzelm@47068
   476
    |> (fn rules => Seq.lift provide_goal (EVERY (map refine rules) goal) state)
wenzelm@19915
   477
  end;
wenzelm@17359
   478
wenzelm@46466
   479
end;
wenzelm@46466
   480
wenzelm@6932
   481
wenzelm@49846
   482
(* conclude goal *)
wenzelm@49846
   483
wenzelm@28627
   484
fun conclude_goal ctxt goal propss =
wenzelm@5820
   485
  let
wenzelm@42360
   486
    val thy = Proof_Context.theory_of ctxt;
wenzelm@24920
   487
    val string_of_term = Syntax.string_of_term ctxt;
wenzelm@32091
   488
    val string_of_thm = Display.string_of_thm ctxt;
wenzelm@5820
   489
wenzelm@49847
   490
    val _ = Thm.no_prems goal orelse
wenzelm@49847
   491
      error (Pretty.string_of (Goal_Display.pretty_goal {main = true, limit = false} ctxt goal));
wenzelm@20224
   492
wenzelm@20224
   493
    val extra_hyps = Assumption.extra_hyps ctxt goal;
wenzelm@20224
   494
    val _ = null extra_hyps orelse
wenzelm@20224
   495
      error ("Additional hypotheses:\n" ^ cat_lines (map string_of_term extra_hyps));
wenzelm@5820
   496
wenzelm@23418
   497
    fun lost_structure () = error ("Lost goal structure:\n" ^ string_of_thm goal);
wenzelm@23418
   498
berghofe@23782
   499
    val th = Goal.conclude
wenzelm@23806
   500
      (if length (flat propss) > 1 then Thm.norm_proof goal else goal)
berghofe@23782
   501
      handle THM _ => lost_structure ();
wenzelm@23418
   502
    val goal_propss = filter_out null propss;
wenzelm@23418
   503
    val results =
wenzelm@23418
   504
      Conjunction.elim_balanced (length goal_propss) th
wenzelm@23418
   505
      |> map2 Conjunction.elim_balanced (map length goal_propss)
wenzelm@23418
   506
      handle THM _ => lost_structure ();
wenzelm@23418
   507
    val _ = Unify.matches_list thy (flat goal_propss) (map Thm.prop_of (flat results)) orelse
wenzelm@19774
   508
      error ("Proved a different theorem:\n" ^ string_of_thm th);
wenzelm@28627
   509
    val _ = Thm.check_shyps (Variable.sorts_of ctxt) th;
wenzelm@23418
   510
wenzelm@23418
   511
    fun recover_result ([] :: pss) thss = [] :: recover_result pss thss
wenzelm@23418
   512
      | recover_result (_ :: pss) (ths :: thss) = ths :: recover_result pss thss
wenzelm@23418
   513
      | recover_result [] [] = []
wenzelm@23418
   514
      | recover_result _ _ = lost_structure ();
wenzelm@23418
   515
  in recover_result propss results end;
wenzelm@5820
   516
wenzelm@49846
   517
fun the_finished_goal results =
wenzelm@49846
   518
  (case Seq.pull results of
wenzelm@49846
   519
    SOME ((f1, state1), rest) =>
wenzelm@49846
   520
      let val (ctxt1, (_, goal1)) = get_goal state1 in
wenzelm@49846
   521
        if Thm.no_prems goal1 then f1 state1
wenzelm@49846
   522
        else
wenzelm@49846
   523
          (case Seq.pull (Seq.filter (Thm.no_prems o #2 o #2 o get_goal o #2) rest) of
wenzelm@49846
   524
            SOME ((f, state), _) => f state
wenzelm@49847
   525
          | NONE =>
wenzelm@49847
   526
              error ("Failed to finish proof:\n" ^
wenzelm@49847
   527
                Pretty.string_of
wenzelm@49847
   528
                  (Goal_Display.pretty_goal {main = true, limit = false} ctxt1 goal1)))
wenzelm@49846
   529
      end
wenzelm@49846
   530
  | NONE => error "Failed to finish proof");
wenzelm@49846
   531
wenzelm@5820
   532
wenzelm@33288
   533
(* goal views -- corresponding to methods *)
wenzelm@33288
   534
wenzelm@33288
   535
fun raw_goal state =
wenzelm@33288
   536
  let val (ctxt, (facts, goal)) = get_goal state
wenzelm@33288
   537
  in {context = ctxt, facts = facts, goal = goal} end;
wenzelm@33288
   538
wenzelm@33288
   539
val goal = raw_goal o refine_insert [];
wenzelm@33288
   540
wenzelm@33288
   541
fun simple_goal state =
wenzelm@33288
   542
  let
wenzelm@33288
   543
    val (_, (facts, _)) = get_goal state;
wenzelm@33288
   544
    val (ctxt, (_, goal)) = get_goal (refine_insert facts state);
wenzelm@33288
   545
  in {context = ctxt, goal = goal} end;
wenzelm@33288
   546
wenzelm@38721
   547
fun status_markup state =
wenzelm@38721
   548
  (case try goal state of
wenzelm@45666
   549
    SOME {goal, ...} => Isabelle_Markup.proof_state (Thm.nprems_of goal)
wenzelm@38721
   550
  | NONE => Markup.empty);
wenzelm@38721
   551
wenzelm@33288
   552
wenzelm@5820
   553
wenzelm@5820
   554
(*** structured proof commands ***)
wenzelm@5820
   555
wenzelm@17112
   556
(** context elements **)
wenzelm@5820
   557
wenzelm@36324
   558
(* let bindings *)
wenzelm@5820
   559
wenzelm@16813
   560
local
wenzelm@16813
   561
wenzelm@17359
   562
fun gen_bind bind args state =
wenzelm@5820
   563
  state
wenzelm@5820
   564
  |> assert_forward
wenzelm@36324
   565
  |> map_context (bind true args #> snd)
wenzelm@47068
   566
  |> reset_facts;
wenzelm@5820
   567
wenzelm@16813
   568
in
wenzelm@16813
   569
wenzelm@42360
   570
val let_bind = gen_bind Proof_Context.match_bind_i;
wenzelm@42360
   571
val let_bind_cmd = gen_bind Proof_Context.match_bind;
wenzelm@5820
   572
wenzelm@16813
   573
end;
wenzelm@16813
   574
wenzelm@5820
   575
wenzelm@36505
   576
(* concrete syntax *)
wenzelm@36505
   577
wenzelm@36505
   578
local
wenzelm@36505
   579
wenzelm@36507
   580
fun gen_write prep_arg mode args =
wenzelm@36507
   581
  assert_forward
wenzelm@42360
   582
  #> map_context (fn ctxt => ctxt |> Proof_Context.notation true mode (map (prep_arg ctxt) args))
wenzelm@47068
   583
  #> reset_facts;
wenzelm@36505
   584
wenzelm@36505
   585
in
wenzelm@36505
   586
wenzelm@36505
   587
val write = gen_write (K I);
wenzelm@36505
   588
wenzelm@36505
   589
val write_cmd =
wenzelm@36505
   590
  gen_write (fn ctxt => fn (c, mx) =>
wenzelm@42360
   591
    (Proof_Context.read_const ctxt false (Mixfix.mixfixT mx) c, mx));
wenzelm@36505
   592
wenzelm@36505
   593
end;
wenzelm@36505
   594
wenzelm@36505
   595
wenzelm@17359
   596
(* fix *)
wenzelm@9196
   597
wenzelm@12714
   598
local
wenzelm@12714
   599
wenzelm@30763
   600
fun gen_fix prep_vars args =
wenzelm@17359
   601
  assert_forward
wenzelm@45597
   602
  #> map_context (fn ctxt => snd (Proof_Context.add_fixes (fst (prep_vars args ctxt)) ctxt))
wenzelm@47068
   603
  #> reset_facts;
wenzelm@5820
   604
wenzelm@16813
   605
in
wenzelm@16813
   606
wenzelm@45597
   607
val fix = gen_fix Proof_Context.cert_vars;
wenzelm@45597
   608
val fix_cmd = gen_fix Proof_Context.read_vars;
wenzelm@5820
   609
wenzelm@16813
   610
end;
wenzelm@16813
   611
wenzelm@5820
   612
wenzelm@17359
   613
(* assume etc. *)
wenzelm@5820
   614
wenzelm@16813
   615
local
wenzelm@16813
   616
wenzelm@17112
   617
fun gen_assume asm prep_att exp args state =
wenzelm@5820
   618
  state
wenzelm@5820
   619
  |> assert_forward
wenzelm@47815
   620
  |> map_context_result (asm exp (Attrib.map_specs (map (prep_att (context_of state))) args))
wenzelm@17359
   621
  |> these_factss [] |> #2;
wenzelm@6932
   622
wenzelm@16813
   623
in
wenzelm@16813
   624
wenzelm@42360
   625
val assm = gen_assume Proof_Context.add_assms_i (K I);
wenzelm@47815
   626
val assm_cmd = gen_assume Proof_Context.add_assms Attrib.attribute_cmd;
wenzelm@36323
   627
val assume = assm Assumption.assume_export;
wenzelm@36323
   628
val assume_cmd = assm_cmd Assumption.assume_export;
wenzelm@36323
   629
val presume = assm Assumption.presume_export;
wenzelm@36323
   630
val presume_cmd = assm_cmd Assumption.presume_export;
wenzelm@5820
   631
wenzelm@16813
   632
end;
wenzelm@16813
   633
wenzelm@7271
   634
wenzelm@17359
   635
(* def *)
wenzelm@11891
   636
wenzelm@16813
   637
local
wenzelm@16813
   638
wenzelm@20913
   639
fun gen_def prep_att prep_vars prep_binds args state =
wenzelm@11891
   640
  let
wenzelm@11891
   641
    val _ = assert_forward state;
wenzelm@20913
   642
    val (raw_name_atts, (raw_vars, raw_rhss)) = args |> split_list ||> split_list;
wenzelm@47815
   643
    val name_atts = map (apsnd (map (prep_att (context_of state)))) raw_name_atts;
wenzelm@11891
   644
  in
wenzelm@20913
   645
    state
wenzelm@20913
   646
    |> map_context_result (prep_vars (map (fn (x, mx) => (x, NONE, mx)) raw_vars))
wenzelm@20913
   647
    |>> map (fn (x, _, mx) => (x, mx))
wenzelm@20913
   648
    |-> (fn vars =>
wenzelm@20913
   649
      map_context_result (prep_binds false (map swap raw_rhss))
wenzelm@49748
   650
      #-> (fn rhss =>
wenzelm@49748
   651
        let
wenzelm@49748
   652
          val defs = (vars ~~ (name_atts ~~ rhss)) |> map (fn ((x, mx), ((a, atts), rhs)) =>
wenzelm@49748
   653
            ((x, mx), ((Thm.def_binding_optional x a, atts), rhs)));
wenzelm@49748
   654
        in map_context_result (Local_Defs.add_defs defs) end))
wenzelm@47068
   655
    |-> (set_facts o map (#2 o #2))
wenzelm@11891
   656
  end;
wenzelm@11891
   657
wenzelm@16813
   658
in
wenzelm@16813
   659
wenzelm@42360
   660
val def = gen_def (K I) Proof_Context.cert_vars Proof_Context.match_bind_i;
wenzelm@47815
   661
val def_cmd = gen_def Attrib.attribute_cmd Proof_Context.read_vars Proof_Context.match_bind;
wenzelm@11891
   662
wenzelm@16813
   663
end;
wenzelm@16813
   664
wenzelm@11891
   665
wenzelm@8374
   666
wenzelm@17112
   667
(** facts **)
wenzelm@5820
   668
wenzelm@17359
   669
(* chain *)
wenzelm@5820
   670
wenzelm@24011
   671
fun clean_facts ctxt =
wenzelm@47068
   672
  set_facts (filter_out Thm.is_dummy (the_facts ctxt)) ctxt;
wenzelm@24011
   673
wenzelm@17359
   674
val chain =
wenzelm@17359
   675
  assert_forward
wenzelm@24011
   676
  #> clean_facts
wenzelm@17359
   677
  #> enter_chain;
wenzelm@5820
   678
wenzelm@17359
   679
fun chain_facts facts =
wenzelm@47068
   680
  set_facts facts
wenzelm@17359
   681
  #> chain;
wenzelm@5820
   682
wenzelm@5820
   683
wenzelm@17359
   684
(* note etc. *)
wenzelm@17112
   685
haftmann@28965
   686
fun no_binding args = map (pair (Binding.empty, [])) args;
wenzelm@17112
   687
wenzelm@17112
   688
local
wenzelm@17112
   689
wenzelm@30760
   690
fun gen_thmss more_facts opt_chain opt_result prep_atts prep_fact args state =
wenzelm@17112
   691
  state
wenzelm@17112
   692
  |> assert_forward
wenzelm@47815
   693
  |> map_context_result (fn ctxt => ctxt |> Proof_Context.note_thmss ""
wenzelm@47815
   694
    (Attrib.map_facts_refs (map (prep_atts ctxt)) (prep_fact ctxt) args))
wenzelm@17112
   695
  |> these_factss (more_facts state)
wenzelm@17359
   696
  ||> opt_chain
wenzelm@17359
   697
  |> opt_result;
wenzelm@17112
   698
wenzelm@17112
   699
in
wenzelm@17112
   700
wenzelm@36323
   701
val note_thmss = gen_thmss (K []) I #2 (K I) (K I);
wenzelm@47815
   702
val note_thmss_cmd = gen_thmss (K []) I #2 Attrib.attribute_cmd Proof_Context.get_fact;
wenzelm@17112
   703
wenzelm@36323
   704
val from_thmss = gen_thmss (K []) chain #2 (K I) (K I) o no_binding;
wenzelm@47815
   705
val from_thmss_cmd =
wenzelm@47815
   706
  gen_thmss (K []) chain #2 Attrib.attribute_cmd Proof_Context.get_fact o no_binding;
wenzelm@17359
   707
wenzelm@36323
   708
val with_thmss = gen_thmss the_facts chain #2 (K I) (K I) o no_binding;
wenzelm@47815
   709
val with_thmss_cmd =
wenzelm@47815
   710
  gen_thmss the_facts chain #2 Attrib.attribute_cmd Proof_Context.get_fact o no_binding;
wenzelm@30760
   711
wenzelm@30760
   712
val local_results = gen_thmss (K []) I I (K I) (K I) o map (apsnd Thm.simple_fact);
wenzelm@17359
   713
wenzelm@17112
   714
end;
wenzelm@17112
   715
wenzelm@17112
   716
wenzelm@18548
   717
(* using/unfolding *)
wenzelm@17112
   718
wenzelm@17112
   719
local
wenzelm@17112
   720
wenzelm@45390
   721
fun gen_using f g prep_att prep_fact args state =
wenzelm@17112
   722
  state
wenzelm@17112
   723
  |> assert_backward
wenzelm@21442
   724
  |> map_context_result
wenzelm@47815
   725
    (fn ctxt => ctxt |> Proof_Context.note_thmss ""
wenzelm@47815
   726
      (Attrib.map_facts_refs (map (prep_att ctxt)) (prep_fact ctxt) (no_binding args)))
wenzelm@18843
   727
  |> (fn (named_facts, state') =>
wenzelm@24556
   728
    state' |> map_goal I (fn (statement, _, using, goal, before_qed, after_qed) =>
wenzelm@18843
   729
      let
wenzelm@18843
   730
        val ctxt = context_of state';
wenzelm@19482
   731
        val ths = maps snd named_facts;
wenzelm@47431
   732
      in (statement, [], f ctxt ths using, g ctxt ths goal, before_qed, after_qed) end) I);
wenzelm@18548
   733
wenzelm@24050
   734
fun append_using _ ths using = using @ filter_out Thm.is_dummy ths;
wenzelm@35624
   735
fun unfold_using ctxt ths = map (Local_Defs.unfold ctxt ths);
wenzelm@35624
   736
val unfold_goals = Local_Defs.unfold_goals;
wenzelm@17112
   737
wenzelm@17112
   738
in
wenzelm@17112
   739
wenzelm@36323
   740
val using = gen_using append_using (K (K I)) (K I) (K I);
wenzelm@47815
   741
val using_cmd = gen_using append_using (K (K I)) Attrib.attribute_cmd Proof_Context.get_fact;
wenzelm@36323
   742
val unfolding = gen_using unfold_using unfold_goals (K I) (K I);
wenzelm@47815
   743
val unfolding_cmd = gen_using unfold_using unfold_goals Attrib.attribute_cmd Proof_Context.get_fact;
wenzelm@17112
   744
wenzelm@17112
   745
end;
wenzelm@17112
   746
wenzelm@17112
   747
wenzelm@17112
   748
(* case *)
wenzelm@17112
   749
wenzelm@17112
   750
local
wenzelm@17112
   751
wenzelm@30419
   752
fun qualified_binding a =
wenzelm@30419
   753
  Binding.qualify true (Long_Name.qualifier a) (Binding.name (Long_Name.base_name a));
wenzelm@30419
   754
wenzelm@17112
   755
fun gen_invoke_case prep_att (name, xs, raw_atts) state =
wenzelm@17112
   756
  let
wenzelm@47815
   757
    val atts = map (prep_att (context_of state)) raw_atts;
wenzelm@19078
   758
    val (asms, state') = state |> map_context_result (fn ctxt =>
wenzelm@42360
   759
      ctxt |> Proof_Context.apply_case (Proof_Context.get_case ctxt name xs));
wenzelm@30419
   760
    val assumptions = asms |> map (fn (a, ts) => ((qualified_binding a, atts), map (rpair []) ts));
wenzelm@17112
   761
  in
wenzelm@17112
   762
    state'
wenzelm@36323
   763
    |> assume assumptions
wenzelm@33386
   764
    |> bind_terms Auto_Bind.no_facts
wenzelm@36323
   765
    |> `the_facts |-> (fn thms => note_thmss [((Binding.name name, []), [(thms, [])])])
wenzelm@17112
   766
  end;
wenzelm@17112
   767
wenzelm@17112
   768
in
wenzelm@17112
   769
wenzelm@36323
   770
val invoke_case = gen_invoke_case (K I);
wenzelm@47815
   771
val invoke_case_cmd = gen_invoke_case Attrib.attribute_cmd;
wenzelm@17112
   772
wenzelm@17112
   773
end;
wenzelm@17112
   774
wenzelm@17112
   775
wenzelm@17112
   776
wenzelm@17359
   777
(** proof structure **)
wenzelm@17359
   778
wenzelm@17359
   779
(* blocks *)
wenzelm@17359
   780
wenzelm@17359
   781
val begin_block =
wenzelm@17359
   782
  assert_forward
wenzelm@17359
   783
  #> open_block
wenzelm@47068
   784
  #> reset_goal
wenzelm@17359
   785
  #> open_block;
wenzelm@17359
   786
wenzelm@17359
   787
val next_block =
wenzelm@17359
   788
  assert_forward
wenzelm@17359
   789
  #> close_block
wenzelm@17359
   790
  #> open_block
wenzelm@47068
   791
  #> reset_goal
wenzelm@47068
   792
  #> reset_facts;
wenzelm@17359
   793
wenzelm@17359
   794
fun end_block state =
wenzelm@17359
   795
  state
wenzelm@17359
   796
  |> assert_forward
wenzelm@40960
   797
  |> assert_bottom false
wenzelm@17359
   798
  |> close_block
wenzelm@17359
   799
  |> assert_current_goal false
wenzelm@17359
   800
  |> close_block
wenzelm@17359
   801
  |> export_facts state;
wenzelm@17359
   802
wenzelm@17359
   803
wenzelm@40960
   804
(* global notepad *)
wenzelm@40960
   805
wenzelm@40960
   806
val begin_notepad =
wenzelm@40960
   807
  init
wenzelm@40960
   808
  #> open_block
wenzelm@40960
   809
  #> map_context (Variable.set_body true)
wenzelm@40960
   810
  #> open_block;
wenzelm@40960
   811
wenzelm@40960
   812
val end_notepad =
wenzelm@40960
   813
  assert_forward
wenzelm@40960
   814
  #> assert_bottom true
wenzelm@40960
   815
  #> close_block
wenzelm@40960
   816
  #> assert_current_goal false
wenzelm@40960
   817
  #> close_block
wenzelm@40960
   818
  #> context_of;
wenzelm@40960
   819
wenzelm@40960
   820
wenzelm@17359
   821
(* sub-proofs *)
wenzelm@17359
   822
wenzelm@17359
   823
fun proof opt_text =
wenzelm@17359
   824
  assert_backward
wenzelm@17859
   825
  #> refine (the_default Method.default_text opt_text)
wenzelm@17359
   826
  #> Seq.map (using_facts [] #> enter_forward);
wenzelm@17359
   827
wenzelm@23360
   828
fun end_proof bot txt state =
wenzelm@23360
   829
  state
wenzelm@23360
   830
  |> assert_forward
wenzelm@23360
   831
  |> assert_bottom bot
wenzelm@23360
   832
  |> close_block
wenzelm@23360
   833
  |> assert_current_goal true
wenzelm@23360
   834
  |> using_facts []
wenzelm@23360
   835
  |> `before_qed |-> (refine o the_default Method.succeed_text)
wenzelm@32193
   836
  |> Seq.maps (refine (Method.finish_text txt));
wenzelm@17359
   837
wenzelm@29383
   838
fun check_result msg sq =
wenzelm@29383
   839
  (case Seq.pull sq of
wenzelm@29383
   840
    NONE => error msg
wenzelm@29383
   841
  | SOME (s, _) => s);
wenzelm@29383
   842
wenzelm@17359
   843
wenzelm@17359
   844
(* unstructured refinement *)
wenzelm@17359
   845
wenzelm@32193
   846
fun defer i = assert_no_chain #> refine (Method.Basic (K (Method.defer i)));
wenzelm@32193
   847
fun prefer i = assert_no_chain #> refine (Method.Basic (K (Method.prefer i)));
wenzelm@17359
   848
wenzelm@17359
   849
fun apply text = assert_backward #> refine text #> Seq.map (using_facts []);
wenzelm@17359
   850
fun apply_end text = assert_forward #> refine_end text;
wenzelm@17359
   851
wenzelm@17359
   852
wenzelm@17359
   853
wenzelm@17112
   854
(** goals **)
wenzelm@17112
   855
wenzelm@17359
   856
(* generic goals *)
wenzelm@17359
   857
wenzelm@19774
   858
local
wenzelm@19774
   859
wenzelm@36322
   860
val is_var =
wenzelm@36322
   861
  can (dest_TVar o Logic.dest_type o Logic.dest_term) orf
wenzelm@36322
   862
  can (dest_Var o Logic.dest_term);
wenzelm@36322
   863
wenzelm@36322
   864
fun implicit_vars props =
wenzelm@19846
   865
  let
wenzelm@36354
   866
    val (var_props, _) = take_prefix is_var props;
wenzelm@36322
   867
    val explicit_vars = fold Term.add_vars var_props [];
wenzelm@36322
   868
    val vars = filter_out (member (op =) explicit_vars) (fold Term.add_vars props []);
wenzelm@36322
   869
  in map (Logic.mk_term o Var) vars end;
wenzelm@19774
   870
wenzelm@19774
   871
fun refine_terms n =
wenzelm@30510
   872
  refine (Method.Basic (K (RAW_METHOD
wenzelm@19774
   873
    (K (HEADGOAL (PRECISE_CONJUNCTS n
wenzelm@32193
   874
      (HEADGOAL (CONJUNCTS (ALLGOALS (rtac Drule.termI))))))))))
wenzelm@19774
   875
  #> Seq.hd;
wenzelm@19774
   876
wenzelm@19774
   877
in
wenzelm@17359
   878
wenzelm@17859
   879
fun generic_goal prepp kind before_qed after_qed raw_propp state =
wenzelm@5820
   880
  let
wenzelm@17359
   881
    val thy = theory_of state;
wenzelm@23418
   882
    val cert = Thm.cterm_of thy;
wenzelm@17359
   883
    val chaining = can assert_chain state;
wenzelm@25958
   884
    val pos = Position.thread_data ();
wenzelm@17359
   885
wenzelm@17359
   886
    val ((propss, after_ctxt), goal_state) =
wenzelm@5936
   887
      state
wenzelm@5936
   888
      |> assert_forward_or_chain
wenzelm@5936
   889
      |> enter_forward
wenzelm@17359
   890
      |> open_block
wenzelm@45327
   891
      |> map_context_result (prepp raw_propp);
wenzelm@19482
   892
    val props = flat propss;
wenzelm@15703
   893
wenzelm@36322
   894
    val vars = implicit_vars props;
wenzelm@36322
   895
    val propss' = vars :: propss;
wenzelm@23418
   896
    val goal_propss = filter_out null propss';
wenzelm@29346
   897
    val goal =
wenzelm@29346
   898
      cert (Logic.mk_conjunction_balanced (map Logic.mk_conjunction_balanced goal_propss))
wenzelm@28627
   899
      |> Thm.weaken_sorts (Variable.sorts_of (context_of goal_state));
wenzelm@29346
   900
    val statement = ((kind, pos), propss', Thm.term_of goal);
wenzelm@18124
   901
    val after_qed' = after_qed |>> (fn after_local =>
wenzelm@18124
   902
      fn results => map_context after_ctxt #> after_local results);
wenzelm@5820
   903
  in
wenzelm@17359
   904
    goal_state
wenzelm@21727
   905
    |> map_context (init_context #> Variable.set_body true)
wenzelm@47068
   906
    |> set_goal (make_goal (statement, [], [], Goal.init goal, before_qed, after_qed'))
wenzelm@42360
   907
    |> map_context (Proof_Context.auto_bind_goal props)
wenzelm@21565
   908
    |> chaining ? (`the_facts #-> using_facts)
wenzelm@47068
   909
    |> reset_facts
wenzelm@17359
   910
    |> open_block
wenzelm@47068
   911
    |> reset_goal
wenzelm@5820
   912
    |> enter_backward
wenzelm@23418
   913
    |> not (null vars) ? refine_terms (length goal_propss)
wenzelm@32193
   914
    |> null props ? (refine (Method.Basic Method.assumption) #> Seq.hd)
wenzelm@5820
   915
  end;
wenzelm@5820
   916
wenzelm@29090
   917
fun generic_qed after_ctxt state =
wenzelm@12503
   918
  let
wenzelm@36354
   919
    val (goal_ctxt, {statement = (_, stmt, _), goal, after_qed, ...}) = current_goal state;
wenzelm@8617
   920
    val outer_state = state |> close_block;
wenzelm@8617
   921
    val outer_ctxt = context_of outer_state;
wenzelm@8617
   922
wenzelm@18503
   923
    val props =
wenzelm@19774
   924
      flat (tl stmt)
wenzelm@19915
   925
      |> Variable.exportT_terms goal_ctxt outer_ctxt;
wenzelm@17359
   926
    val results =
wenzelm@28627
   927
      tl (conclude_goal goal_ctxt goal stmt)
wenzelm@42360
   928
      |> burrow (Proof_Context.export goal_ctxt outer_ctxt);
wenzelm@17359
   929
  in
wenzelm@17359
   930
    outer_state
wenzelm@29090
   931
    |> map_context (after_ctxt props)
wenzelm@34239
   932
    |> pair (after_qed, results)
wenzelm@17359
   933
  end;
wenzelm@17359
   934
wenzelm@19774
   935
end;
wenzelm@19774
   936
wenzelm@9469
   937
wenzelm@17359
   938
(* local goals *)
wenzelm@17359
   939
wenzelm@17859
   940
fun local_goal print_results prep_att prepp kind before_qed after_qed stmt state =
wenzelm@17359
   941
  let
wenzelm@21362
   942
    val ((names, attss), propp) =
wenzelm@47815
   943
      Attrib.map_specs (map (prep_att (context_of state))) stmt |> split_list |>> split_list;
wenzelm@17359
   944
wenzelm@18124
   945
    fun after_qed' results =
wenzelm@18808
   946
      local_results ((names ~~ attss) ~~ results)
wenzelm@17359
   947
      #-> (fn res => tap (fn st => print_results (context_of st) ((kind, ""), res) : unit))
wenzelm@18124
   948
      #> after_qed results;
wenzelm@5820
   949
  in
wenzelm@17359
   950
    state
wenzelm@21362
   951
    |> generic_goal prepp kind before_qed (after_qed', K I) propp
wenzelm@19900
   952
    |> tap (Variable.warn_extra_tfrees (context_of state) o context_of)
wenzelm@5820
   953
  end;
wenzelm@5820
   954
wenzelm@29383
   955
fun local_qeds txt =
wenzelm@29383
   956
  end_proof false txt
wenzelm@49846
   957
  #> Seq.map (pair (generic_qed Proof_Context.auto_bind_facts #->
wenzelm@49846
   958
    (fn ((after_qed, _), results) => after_qed results)));
wenzelm@5820
   959
wenzelm@49846
   960
fun local_qed txt = local_qeds txt #> the_finished_goal;
wenzelm@29383
   961
wenzelm@5820
   962
wenzelm@17359
   963
(* global goals *)
wenzelm@17359
   964
wenzelm@45327
   965
fun prepp_auto_fixes prepp args =
wenzelm@45327
   966
  prepp args #>
wenzelm@45327
   967
  (fn ((propss, a), ctxt) => ((propss, a), (fold o fold) Variable.auto_fixes propss ctxt));
wenzelm@45327
   968
wenzelm@45327
   969
fun global_goal prepp before_qed after_qed propp =
wenzelm@45327
   970
  init #>
wenzelm@45327
   971
  generic_goal (prepp_auto_fixes prepp) "" before_qed (K I, after_qed) propp;
wenzelm@17359
   972
wenzelm@42360
   973
val theorem = global_goal Proof_Context.bind_propp_schematic_i;
wenzelm@42360
   974
val theorem_cmd = global_goal Proof_Context.bind_propp_schematic;
wenzelm@12065
   975
wenzelm@17359
   976
fun global_qeds txt =
wenzelm@17359
   977
  end_proof true txt
wenzelm@49846
   978
  #> Seq.map (pair (generic_qed (K I) #> (fn (((_, after_qed), results), state) =>
wenzelm@49846
   979
    after_qed results (context_of state))));
wenzelm@17112
   980
wenzelm@49846
   981
fun global_qed txt = global_qeds txt #> the_finished_goal;
wenzelm@12959
   982
wenzelm@5820
   983
wenzelm@17359
   984
(* concluding steps *)
wenzelm@17112
   985
wenzelm@49848
   986
local
wenzelm@49848
   987
wenzelm@49848
   988
fun failure_initial state =
wenzelm@49848
   989
  let
wenzelm@49848
   990
    val (ctxt, (facts, goal)) = get_goal state;
wenzelm@49848
   991
    val pr_facts =
wenzelm@49848
   992
      if null facts then ""
wenzelm@49848
   993
      else Pretty.string_of (Pretty.big_list "facts:" (map (Display.pretty_thm ctxt) facts)) ^ "\n";
wenzelm@49848
   994
    val pr_goal =
wenzelm@49848
   995
      "goal:\n" ^ Pretty.string_of (Goal_Display.pretty_goal {main = false, limit = false} ctxt goal);
wenzelm@49848
   996
  in error ("Failure of initial proof method on goal state:\n" ^ pr_facts ^ pr_goal) end;
wenzelm@49848
   997
wenzelm@49848
   998
fun failure_terminal _ = error "Failure of terminal proof method";
wenzelm@49848
   999
wenzelm@49848
  1000
val op ORELSE = Seq.ORELSE;
wenzelm@49848
  1001
wenzelm@49846
  1002
fun terminal_proof qeds initial terminal =
wenzelm@49848
  1003
  (((proof (SOME initial) ORELSE failure_initial)
wenzelm@49848
  1004
    #> Seq.maps (qeds terminal)) ORELSE failure_terminal) #> the_finished_goal;
wenzelm@49848
  1005
wenzelm@49848
  1006
in
wenzelm@17112
  1007
wenzelm@29383
  1008
fun local_terminal_proof (text, opt_text) = terminal_proof local_qeds text (opt_text, true);
wenzelm@17112
  1009
val local_default_proof = local_terminal_proof (Method.default_text, NONE);
wenzelm@17112
  1010
val local_immediate_proof = local_terminal_proof (Method.this_text, NONE);
wenzelm@17359
  1011
fun local_skip_proof int = local_terminal_proof (Method.sorry_text int, NONE);
wenzelm@29383
  1012
val local_done_proof = terminal_proof local_qeds Method.done_text (NONE, false);
wenzelm@17112
  1013
wenzelm@29383
  1014
fun global_terminal_proof (text, opt_text) = terminal_proof global_qeds text (opt_text, true);
wenzelm@17112
  1015
val global_default_proof = global_terminal_proof (Method.default_text, NONE);
wenzelm@17112
  1016
val global_immediate_proof = global_terminal_proof (Method.this_text, NONE);
wenzelm@17359
  1017
fun global_skip_proof int = global_terminal_proof (Method.sorry_text int, NONE);
wenzelm@29383
  1018
val global_done_proof = terminal_proof global_qeds Method.done_text (NONE, false);
wenzelm@5820
  1019
wenzelm@49848
  1020
end;
wenzelm@49848
  1021
wenzelm@6896
  1022
wenzelm@17359
  1023
(* common goal statements *)
wenzelm@17359
  1024
wenzelm@17359
  1025
local
wenzelm@17359
  1026
wenzelm@17859
  1027
fun gen_have prep_att prepp before_qed after_qed stmt int =
wenzelm@46728
  1028
  local_goal (Proof_Display.print_results Isabelle_Markup.state int)
wenzelm@46728
  1029
    prep_att prepp "have" before_qed after_qed stmt;
wenzelm@6896
  1030
wenzelm@17859
  1031
fun gen_show prep_att prepp before_qed after_qed stmt int state =
wenzelm@17359
  1032
  let
wenzelm@32738
  1033
    val testing = Unsynchronized.ref false;
wenzelm@32738
  1034
    val rule = Unsynchronized.ref (NONE: thm option);
wenzelm@17359
  1035
    fun fail_msg ctxt =
wenzelm@29383
  1036
      "Local statement will fail to refine any pending goal" ::
wenzelm@33389
  1037
      (case ! rule of NONE => [] | SOME th => [Proof_Display.string_of_rule ctxt "Failed" th])
wenzelm@17359
  1038
      |> cat_lines;
wenzelm@6896
  1039
wenzelm@17359
  1040
    fun print_results ctxt res =
wenzelm@46728
  1041
      if ! testing then ()
wenzelm@46728
  1042
      else Proof_Display.print_results Isabelle_Markup.state int ctxt res;
wenzelm@17359
  1043
    fun print_rule ctxt th =
wenzelm@17359
  1044
      if ! testing then rule := SOME th
wenzelm@41181
  1045
      else if int then
wenzelm@45666
  1046
        writeln
wenzelm@45666
  1047
          (Markup.markup Isabelle_Markup.state (Proof_Display.string_of_rule ctxt "Successful" th))
wenzelm@17359
  1048
      else ();
wenzelm@17359
  1049
    val test_proof =
wenzelm@29383
  1050
      try (local_skip_proof true)
wenzelm@39616
  1051
      |> Unsynchronized.setmp testing true
wenzelm@42042
  1052
      |> Exn.interruptible_capture;
wenzelm@6896
  1053
wenzelm@18124
  1054
    fun after_qed' results =
wenzelm@19482
  1055
      refine_goals print_rule (context_of state) (flat results)
wenzelm@29383
  1056
      #> check_result "Failed to refine any pending goal"
wenzelm@29383
  1057
      #> after_qed results;
wenzelm@17359
  1058
  in
wenzelm@17359
  1059
    state
wenzelm@17859
  1060
    |> local_goal print_results prep_att prepp "show" before_qed after_qed' stmt
wenzelm@21565
  1061
    |> int ? (fn goal_state =>
wenzelm@17359
  1062
      (case test_proof goal_state of
wenzelm@43761
  1063
        Exn.Res (SOME _) => goal_state
wenzelm@43761
  1064
      | Exn.Res NONE => error (fail_msg (context_of goal_state))
wenzelm@42042
  1065
      | Exn.Exn exn => raise Exn.EXCEPTIONS ([exn, ERROR (fail_msg (context_of goal_state))])))
wenzelm@17359
  1066
  end;
wenzelm@17359
  1067
wenzelm@17359
  1068
in
wenzelm@17359
  1069
wenzelm@42360
  1070
val have = gen_have (K I) Proof_Context.bind_propp_i;
wenzelm@47815
  1071
val have_cmd = gen_have Attrib.attribute_cmd Proof_Context.bind_propp;
wenzelm@42360
  1072
val show = gen_show (K I) Proof_Context.bind_propp_i;
wenzelm@47815
  1073
val show_cmd = gen_show Attrib.attribute_cmd Proof_Context.bind_propp;
wenzelm@6896
  1074
wenzelm@5820
  1075
end;
wenzelm@17359
  1076
wenzelm@28410
  1077
wenzelm@29385
  1078
wenzelm@29385
  1079
(** future proofs **)
wenzelm@29385
  1080
wenzelm@29385
  1081
(* relevant proof states *)
wenzelm@29385
  1082
wenzelm@29385
  1083
fun is_schematic t =
wenzelm@29385
  1084
  Term.exists_subterm Term.is_Var t orelse
wenzelm@29385
  1085
  Term.exists_type (Term.exists_subtype Term.is_TVar) t;
wenzelm@29385
  1086
wenzelm@29385
  1087
fun schematic_goal state =
wenzelm@29385
  1088
  let val (_, (_, {statement = (_, _, prop), ...})) = find_goal state
wenzelm@29385
  1089
  in is_schematic prop end;
wenzelm@29385
  1090
wenzelm@29385
  1091
fun is_relevant state =
wenzelm@29385
  1092
  (case try find_goal state of
wenzelm@29385
  1093
    NONE => true
wenzelm@29385
  1094
  | SOME (_, (_, {statement = (_, _, prop), goal, ...})) =>
wenzelm@29385
  1095
      is_schematic prop orelse not (Logic.protect prop aconv Thm.concl_of goal));
wenzelm@29385
  1096
wenzelm@29385
  1097
wenzelm@29385
  1098
(* full proofs *)
wenzelm@28410
  1099
wenzelm@29346
  1100
local
wenzelm@29346
  1101
wenzelm@29385
  1102
fun future_proof done get_context fork_proof state =
wenzelm@28410
  1103
  let
wenzelm@29381
  1104
    val _ = assert_backward state;
wenzelm@28410
  1105
    val (goal_ctxt, (_, goal)) = find_goal state;
wenzelm@32786
  1106
    val {statement as (kind, _, prop), messages, using, goal, before_qed, after_qed} = goal;
wenzelm@47431
  1107
    val goal_tfrees =
wenzelm@47431
  1108
      fold Term.add_tfrees
wenzelm@47431
  1109
        (prop :: map Thm.term_of (Assumption.all_assms_of goal_ctxt)) [];
wenzelm@28410
  1110
wenzelm@29383
  1111
    val _ = is_relevant state andalso error "Cannot fork relevant proof";
wenzelm@29383
  1112
wenzelm@29346
  1113
    val prop' = Logic.protect prop;
wenzelm@29346
  1114
    val statement' = (kind, [[], [prop']], prop');
wenzelm@29346
  1115
    val goal' = Thm.adjust_maxidx_thm (Thm.maxidx_of goal)
wenzelm@29346
  1116
      (Drule.comp_no_flatten (goal, Thm.nprems_of goal) 1 Drule.protectI);
wenzelm@29385
  1117
wenzelm@33386
  1118
    fun after_local' [[th]] = put_thms false (Auto_Bind.thisN, SOME [th]);
wenzelm@42360
  1119
    fun after_global' [[th]] = Proof_Context.put_thms false (Auto_Bind.thisN, SOME [th]);
wenzelm@29385
  1120
    val after_qed' = (after_local', after_global');
wenzelm@42360
  1121
    val this_name = Proof_Context.full_name goal_ctxt (Binding.name Auto_Bind.thisN);
wenzelm@28410
  1122
wenzelm@28973
  1123
    val result_ctxt =
wenzelm@28973
  1124
      state
wenzelm@29385
  1125
      |> map_goal I (K (statement', messages, using, goal', before_qed, after_qed'))
wenzelm@47431
  1126
        (fold (Variable.declare_typ o TFree) goal_tfrees)
wenzelm@29346
  1127
      |> fork_proof;
wenzelm@28973
  1128
wenzelm@29385
  1129
    val future_thm = result_ctxt |> Future.map (fn (_, x) =>
wenzelm@42360
  1130
      Proof_Context.get_fact_single (get_context x) (Facts.named this_name));
wenzelm@32062
  1131
    val finished_goal = Goal.future_result goal_ctxt future_thm prop';
wenzelm@28973
  1132
    val state' =
wenzelm@28973
  1133
      state
wenzelm@47431
  1134
      |> map_goal I (K (statement, messages, using, finished_goal, NONE, after_qed)) I
wenzelm@29385
  1135
      |> done;
wenzelm@28973
  1136
  in (Future.map #1 result_ctxt, state') end;
wenzelm@28410
  1137
wenzelm@29385
  1138
in
wenzelm@29385
  1139
wenzelm@29385
  1140
fun local_future_proof x = future_proof local_done_proof context_of x;
wenzelm@29385
  1141
fun global_future_proof x = future_proof global_done_proof I x;
wenzelm@29385
  1142
wenzelm@17359
  1143
end;
wenzelm@29346
  1144
wenzelm@29385
  1145
wenzelm@29385
  1146
(* terminal proofs *)
wenzelm@29385
  1147
wenzelm@29385
  1148
local
wenzelm@29385
  1149
wenzelm@49012
  1150
fun future_terminal_proof n proof1 proof2 meths int state =
wenzelm@49012
  1151
  if (Goal.future_enabled_level 4 orelse Goal.future_enabled_nested n andalso not int)
wenzelm@49012
  1152
    andalso not (is_relevant state)
wenzelm@49012
  1153
  then
wenzelm@49012
  1154
    snd (proof2 (fn state' =>
wenzelm@49012
  1155
      Goal.fork_name "Proof.future_terminal_proof" (fn () => ((), proof1 meths state'))) state)
wenzelm@49012
  1156
  else proof1 meths state;
wenzelm@29385
  1157
wenzelm@29385
  1158
in
wenzelm@29385
  1159
wenzelm@29385
  1160
fun local_future_terminal_proof x =
wenzelm@49012
  1161
  future_terminal_proof 2 local_terminal_proof local_future_proof x;
wenzelm@29385
  1162
wenzelm@29385
  1163
fun global_future_terminal_proof x =
wenzelm@49012
  1164
  future_terminal_proof 3 global_terminal_proof global_future_proof x;
wenzelm@29350
  1165
wenzelm@29346
  1166
end;
wenzelm@29346
  1167
wenzelm@29385
  1168
end;
wenzelm@29385
  1169