src/Pure/Isar/proof.ML
author ballarin
Wed Apr 07 20:42:13 2004 +0200 (2004-04-07)
changeset 14528 1457584110ac
parent 14508 859b11514537
child 14548 e1a196985fc8
permissions -rw-r--r--
Locale instantiation: label parameter optional, new attribute paramter.
wenzelm@5820
     1
(*  Title:      Pure/Isar/proof.ML
wenzelm@5820
     2
    ID:         $Id$
wenzelm@5820
     3
    Author:     Markus Wenzel, TU Muenchen
wenzelm@8807
     4
    License:    GPL (GNU GENERAL PUBLIC LICENSE)
wenzelm@5820
     5
wenzelm@5820
     6
Proof states and methods.
wenzelm@5820
     7
*)
wenzelm@5820
     8
wenzelm@8152
     9
signature BASIC_PROOF =
wenzelm@8152
    10
sig
wenzelm@8374
    11
  val FINDGOAL: (int -> thm -> 'a Seq.seq) -> thm -> 'a Seq.seq
wenzelm@8374
    12
  val HEADGOAL: (int -> thm -> 'a Seq.seq) -> thm -> 'a Seq.seq
wenzelm@8152
    13
end;
wenzelm@8152
    14
wenzelm@5820
    15
signature PROOF =
wenzelm@5820
    16
sig
wenzelm@8152
    17
  include BASIC_PROOF
wenzelm@5820
    18
  type context
wenzelm@5820
    19
  type state
berghofe@14129
    20
  datatype mode = Forward | ForwardChain | Backward
wenzelm@5820
    21
  exception STATE of string * state
wenzelm@6871
    22
  val check_result: string -> state -> 'a Seq.seq -> 'a Seq.seq
wenzelm@12045
    23
  val init_state: theory -> state
wenzelm@5820
    24
  val context_of: state -> context
wenzelm@5820
    25
  val theory_of: state -> theory
wenzelm@5820
    26
  val sign_of: state -> Sign.sg
wenzelm@13377
    27
  val map_context: (context -> context) -> state -> state
wenzelm@7924
    28
  val warn_extra_tfrees: state -> state -> state
wenzelm@7605
    29
  val reset_thms: string -> state -> state
wenzelm@6091
    30
  val the_facts: state -> thm list
wenzelm@9469
    31
  val the_fact: state -> thm
wenzelm@11079
    32
  val get_goal: state -> context * (thm list * thm)
wenzelm@6091
    33
  val goal_facts: (state -> thm list) -> state -> state
wenzelm@5820
    34
  val use_facts: state -> state
wenzelm@5820
    35
  val reset_facts: state -> state
berghofe@14129
    36
  val get_mode: state -> mode
wenzelm@9469
    37
  val is_chain: state -> bool
wenzelm@6891
    38
  val assert_forward: state -> state
wenzelm@9469
    39
  val assert_forward_or_chain: state -> state
wenzelm@5820
    40
  val assert_backward: state -> state
wenzelm@8206
    41
  val assert_no_chain: state -> state
wenzelm@5820
    42
  val enter_forward: state -> state
wenzelm@6529
    43
  val verbose: bool ref
nipkow@13698
    44
  val show_main_goal: bool ref
wenzelm@12423
    45
  val pretty_state: int -> state -> Pretty.T list
wenzelm@10360
    46
  val pretty_goals: bool -> state -> Pretty.T list
wenzelm@6776
    47
  val level: state -> int
wenzelm@5820
    48
  type method
wenzelm@6848
    49
  val method: (thm list -> tactic) -> method
wenzelm@8374
    50
  val method_cases: (thm list -> thm -> (thm * (string * RuleCases.T) list) Seq.seq) -> method
wenzelm@5820
    51
  val refine: (context -> method) -> state -> state Seq.seq
wenzelm@8234
    52
  val refine_end: (context -> method) -> state -> state Seq.seq
wenzelm@5936
    53
  val match_bind: (string list * string) list -> state -> state
wenzelm@5936
    54
  val match_bind_i: (term list * term) list -> state -> state
wenzelm@8617
    55
  val let_bind: (string list * string) list -> state -> state
wenzelm@8617
    56
  val let_bind_i: (term list * term) list -> state -> state
wenzelm@6876
    57
  val simple_have_thms: string -> thm list -> state -> state
wenzelm@12714
    58
  val have_thmss: ((bstring * context attribute list) *
wenzelm@12714
    59
    (xstring * context attribute list) list) list -> state -> state
wenzelm@12714
    60
  val have_thmss_i: ((bstring * context attribute list) *
wenzelm@9196
    61
    (thm list * context attribute list) list) list -> state -> state
wenzelm@12714
    62
  val with_thmss: ((bstring * context attribute list) *
wenzelm@12714
    63
    (xstring * context attribute list) list) list -> state -> state
wenzelm@12714
    64
  val with_thmss_i: ((bstring * context attribute list) *
wenzelm@9196
    65
    (thm list * context attribute list) list) list -> state -> state
wenzelm@12930
    66
  val using_thmss: ((xstring * context attribute list) list) list -> state -> state
wenzelm@12930
    67
  val using_thmss_i: ((thm list * context attribute list) list) list -> state -> state
ballarin@14528
    68
  val instantiate_locale: string * (string * context attribute list) -> state
ballarin@14528
    69
    -> state
wenzelm@7412
    70
  val fix: (string list * string option) list -> state -> state
wenzelm@7665
    71
  val fix_i: (string list * typ option) list -> state -> state
wenzelm@9469
    72
  val assm: ProofContext.exporter
wenzelm@10464
    73
    -> ((string * context attribute list) * (string * (string list * string list)) list) list
wenzelm@7271
    74
    -> state -> state
wenzelm@9469
    75
  val assm_i: ProofContext.exporter
wenzelm@10464
    76
    -> ((string * context attribute list) * (term * (term list * term list)) list) list
wenzelm@6932
    77
    -> state -> state
wenzelm@10464
    78
  val assume:
wenzelm@10464
    79
    ((string * context attribute list) * (string * (string list * string list)) list) list
wenzelm@7271
    80
    -> state -> state
wenzelm@10464
    81
  val assume_i: ((string * context attribute list) * (term * (term list * term list)) list) list
wenzelm@6932
    82
    -> state -> state
wenzelm@10464
    83
  val presume:
wenzelm@10464
    84
    ((string * context attribute list) * (string * (string list * string list)) list) list
wenzelm@6932
    85
    -> state -> state
wenzelm@10464
    86
  val presume_i: ((string * context attribute list) * (term * (term list * term list)) list) list
wenzelm@6932
    87
    -> state -> state
wenzelm@11891
    88
  val def: string -> context attribute list -> string *  (string * string list) -> state -> state
wenzelm@11891
    89
  val def_i: string -> context attribute list -> string * (term * term list) -> state -> state
wenzelm@11793
    90
  val invoke_case: string * string option list * context attribute list -> state -> state
wenzelm@12959
    91
  val multi_theorem: string
wenzelm@12959
    92
    -> (xstring * (context attribute list * context attribute list list)) option
wenzelm@12959
    93
    -> bstring * theory attribute list -> context attribute Locale.element list
wenzelm@12146
    94
    -> ((bstring * theory attribute list) * (string * (string list * string list)) list) list
wenzelm@12146
    95
    -> theory -> state
wenzelm@12959
    96
  val multi_theorem_i: string
wenzelm@12959
    97
    -> (string * (context attribute list * context attribute list list)) option
wenzelm@12959
    98
    -> bstring * theory attribute list
wenzelm@12959
    99
    -> context attribute Locale.element_i list
wenzelm@12146
   100
    -> ((bstring * theory attribute list) * (term * (term list * term list)) list) list
wenzelm@12146
   101
    -> theory -> state
wenzelm@5820
   102
  val chain: state -> state
wenzelm@6091
   103
  val from_facts: thm list -> state -> state
wenzelm@12971
   104
  val show: (bool -> state -> state) -> (state -> state Seq.seq) -> bool
wenzelm@12146
   105
    -> ((string * context attribute list) * (string * (string list * string list)) list) list
wenzelm@12146
   106
    -> bool -> state -> state
wenzelm@12971
   107
  val show_i: (bool -> state -> state) -> (state -> state Seq.seq) -> bool
wenzelm@12146
   108
    -> ((string * context attribute list) * (term * (term list * term list)) list) list
wenzelm@12146
   109
    -> bool -> state -> state
wenzelm@12971
   110
  val have: (state -> state Seq.seq) -> bool
wenzelm@12146
   111
    -> ((string * context attribute list) * (string * (string list * string list)) list) list
wenzelm@12146
   112
    -> state -> state
wenzelm@12971
   113
  val have_i: (state -> state Seq.seq) -> bool
wenzelm@12146
   114
    -> ((string * context attribute list) * (term * (term list * term list)) list) list
wenzelm@12146
   115
    -> state -> state
wenzelm@6404
   116
  val at_bottom: state -> bool
wenzelm@6982
   117
  val local_qed: (state -> state Seq.seq)
wenzelm@12146
   118
    -> (context -> string * (string * thm list) list -> unit) * (context -> thm -> unit)
wenzelm@12146
   119
    -> state -> state Seq.seq
wenzelm@6950
   120
  val global_qed: (state -> state Seq.seq) -> state
wenzelm@12244
   121
    -> (theory * ((string * string) * (string * thm list) list)) Seq.seq
wenzelm@6896
   122
  val begin_block: state -> state
wenzelm@6932
   123
  val end_block: state -> state Seq.seq
wenzelm@6896
   124
  val next_block: state -> state
wenzelm@5820
   125
end;
wenzelm@5820
   126
wenzelm@13377
   127
structure Proof: PROOF =
wenzelm@5820
   128
struct
wenzelm@5820
   129
wenzelm@5820
   130
wenzelm@5820
   131
(** proof state **)
wenzelm@5820
   132
wenzelm@5820
   133
type context = ProofContext.context;
wenzelm@5820
   134
wenzelm@5820
   135
wenzelm@5820
   136
(* type goal *)
wenzelm@5820
   137
wenzelm@5820
   138
datatype kind =
wenzelm@12959
   139
  Theorem of {kind: string,
wenzelm@12959
   140
    theory_spec: (bstring * theory attribute list) * theory attribute list list,
wenzelm@13415
   141
    locale_spec: (string * (context attribute list * context attribute list list)) option,
wenzelm@13415
   142
    view: cterm list} |
wenzelm@12959
   143
  Show of context attribute list list |
wenzelm@12959
   144
  Have of context attribute list list;
wenzelm@5820
   145
wenzelm@13415
   146
fun kind_name _ (Theorem {kind = s, theory_spec = ((a, _), _),
wenzelm@13415
   147
        locale_spec = None, view = _}) = s ^ (if a = "" then "" else " " ^ a)
wenzelm@13399
   148
  | kind_name sg (Theorem {kind = s, theory_spec = ((a, _), _),
wenzelm@13415
   149
        locale_spec = Some (name, _), view = _}) =
wenzelm@13415
   150
      s ^ " (in " ^ Locale.cond_extern sg name ^ ")" ^ (if a = "" then "" else " " ^ a)
wenzelm@12015
   151
  | kind_name _ (Show _) = "show"
wenzelm@12015
   152
  | kind_name _ (Have _) = "have";
wenzelm@5820
   153
wenzelm@5820
   154
type goal =
wenzelm@12146
   155
 (kind *             (*result kind*)
wenzelm@12146
   156
  string list *      (*result names*)
wenzelm@12146
   157
  term list list) *  (*result statements*)
wenzelm@12146
   158
 (thm list *         (*use facts*)
wenzelm@12146
   159
  thm);              (*goal: subgoals ==> statement*)
wenzelm@5820
   160
wenzelm@5820
   161
wenzelm@5820
   162
(* type mode *)
wenzelm@5820
   163
wenzelm@5820
   164
datatype mode = Forward | ForwardChain | Backward;
wenzelm@7201
   165
val mode_name = (fn Forward => "state" | ForwardChain => "chain" | Backward => "prove");
wenzelm@5820
   166
wenzelm@5820
   167
wenzelm@5820
   168
(* datatype state *)
wenzelm@5820
   169
wenzelm@7176
   170
datatype node =
wenzelm@7176
   171
  Node of
wenzelm@7176
   172
   {context: context,
wenzelm@7176
   173
    facts: thm list option,
wenzelm@7176
   174
    mode: mode,
wenzelm@12971
   175
    goal: (goal * ((state -> state Seq.seq) * bool)) option}
wenzelm@7176
   176
and state =
wenzelm@5820
   177
  State of
wenzelm@5820
   178
    node *              (*current*)
wenzelm@5820
   179
    node list;          (*parents wrt. block structure*)
wenzelm@5820
   180
wenzelm@7176
   181
fun make_node (context, facts, mode, goal) =
wenzelm@7176
   182
  Node {context = context, facts = facts, mode = mode, goal = goal};
wenzelm@7176
   183
wenzelm@7176
   184
wenzelm@5820
   185
exception STATE of string * state;
wenzelm@5820
   186
wenzelm@5820
   187
fun err_malformed name state =
wenzelm@5820
   188
  raise STATE (name ^ ": internal error -- malformed proof state", state);
wenzelm@5820
   189
wenzelm@6871
   190
fun check_result msg state sq =
wenzelm@6871
   191
  (case Seq.pull sq of
wenzelm@6871
   192
    None => raise STATE (msg, state)
wenzelm@6871
   193
  | Some s_sq => Seq.cons s_sq);
wenzelm@6871
   194
wenzelm@5820
   195
wenzelm@7176
   196
fun map_current f (State (Node {context, facts, mode, goal}, nodes)) =
wenzelm@5820
   197
  State (make_node (f (context, facts, mode, goal)), nodes);
wenzelm@5820
   198
wenzelm@12045
   199
fun init_state thy =
wenzelm@12045
   200
  State (make_node (ProofContext.init thy, None, Forward, None), []);
wenzelm@12045
   201
wenzelm@5820
   202
wenzelm@5820
   203
wenzelm@5820
   204
(** basic proof state operations **)
wenzelm@5820
   205
wenzelm@5820
   206
(* context *)
wenzelm@5820
   207
wenzelm@7176
   208
fun context_of (State (Node {context, ...}, _)) = context;
wenzelm@5820
   209
val theory_of = ProofContext.theory_of o context_of;
wenzelm@5820
   210
val sign_of = ProofContext.sign_of o context_of;
wenzelm@5820
   211
wenzelm@5820
   212
fun map_context f = map_current (fn (ctxt, facts, mode, goal) => (f ctxt, facts, mode, goal));
wenzelm@5820
   213
wenzelm@7176
   214
fun map_context_result f (state as State (Node {context, facts, mode, goal}, nodes)) =
wenzelm@5820
   215
  let val (context', result) = f context
wenzelm@5820
   216
  in (State (make_node (context', facts, mode, goal), nodes), result) end;
wenzelm@5820
   217
wenzelm@5820
   218
wenzelm@7924
   219
val warn_extra_tfrees = map_context o ProofContext.warn_extra_tfrees o context_of;
wenzelm@10809
   220
val add_binds_i = map_context o ProofContext.add_binds_i;
wenzelm@6790
   221
val auto_bind_goal = map_context o ProofContext.auto_bind_goal;
wenzelm@12146
   222
val auto_bind_facts = map_context o ProofContext.auto_bind_facts;
wenzelm@6091
   223
val put_thms = map_context o ProofContext.put_thms;
wenzelm@6091
   224
val put_thmss = map_context o ProofContext.put_thmss;
wenzelm@7605
   225
val reset_thms = map_context o ProofContext.reset_thms;
wenzelm@8374
   226
val get_case = ProofContext.get_case o context_of;
wenzelm@5820
   227
wenzelm@5820
   228
wenzelm@5820
   229
(* facts *)
wenzelm@5820
   230
wenzelm@7176
   231
fun the_facts (State (Node {facts = Some facts, ...}, _)) = facts
wenzelm@5820
   232
  | the_facts state = raise STATE ("No current facts available", state);
wenzelm@5820
   233
wenzelm@9469
   234
fun the_fact state =
wenzelm@9469
   235
  (case the_facts state of
wenzelm@9469
   236
    [thm] => thm
wenzelm@9469
   237
  | _ => raise STATE ("Single fact expected", state));
wenzelm@9469
   238
wenzelm@6848
   239
fun assert_facts state = (the_facts state; state);
wenzelm@7176
   240
fun get_facts (State (Node {facts, ...}, _)) = facts;
wenzelm@6848
   241
wenzelm@7605
   242
wenzelm@7605
   243
val thisN = "this";
wenzelm@7605
   244
wenzelm@5820
   245
fun put_facts facts state =
wenzelm@5820
   246
  state
wenzelm@5820
   247
  |> map_current (fn (ctxt, _, mode, goal) => (ctxt, facts, mode, goal))
wenzelm@7605
   248
  |> (case facts of None => reset_thms thisN | Some ths => put_thms (thisN, ths));
wenzelm@5820
   249
wenzelm@5820
   250
val reset_facts = put_facts None;
wenzelm@5820
   251
wenzelm@9196
   252
fun these_factss (state, named_factss) =
wenzelm@13297
   253
  state |> put_facts (Some (flat (map snd named_factss)));
wenzelm@5820
   254
wenzelm@5820
   255
wenzelm@5820
   256
(* goal *)
wenzelm@5820
   257
wenzelm@10553
   258
local
wenzelm@10553
   259
  fun find i (state as State (Node {goal = Some goal, ...}, _)) = (context_of state, (i, goal))
wenzelm@10553
   260
    | find i (State (Node {goal = None, ...}, node :: nodes)) = find (i + 1) (State (node, nodes))
wenzelm@10553
   261
    | find _ (state as State (_, [])) = err_malformed "find_goal" state;
wenzelm@10553
   262
in val find_goal = find 0 end;
wenzelm@7176
   263
wenzelm@11079
   264
fun get_goal state =
wenzelm@11079
   265
  let val (ctxt, (_, ((_, x), _))) = find_goal state
wenzelm@11079
   266
  in (ctxt, x) end;
wenzelm@11079
   267
wenzelm@5820
   268
fun put_goal goal = map_current (fn (ctxt, facts, mode, _) => (ctxt, facts, mode, goal));
wenzelm@5820
   269
wenzelm@8374
   270
fun map_goal f g (State (Node {context, facts, mode, goal = Some goal}, nodes)) =
wenzelm@8374
   271
      State (make_node (f context, facts, mode, Some (g goal)), nodes)
wenzelm@8374
   272
  | map_goal f g (State (nd, node :: nodes)) =
wenzelm@8374
   273
      let val State (node', nodes') = map_goal f g (State (node, nodes))
wenzelm@8374
   274
      in map_context f (State (nd, node' :: nodes')) end
wenzelm@8374
   275
  | map_goal _ _ state = state;
wenzelm@5820
   276
wenzelm@5820
   277
fun goal_facts get state =
wenzelm@5820
   278
  state
wenzelm@8374
   279
  |> map_goal I (fn ((result, (_, thm)), f) => ((result, (get state, thm)), f));
wenzelm@5820
   280
wenzelm@5820
   281
fun use_facts state =
wenzelm@5820
   282
  state
wenzelm@5820
   283
  |> goal_facts the_facts
wenzelm@5820
   284
  |> reset_facts;
wenzelm@5820
   285
wenzelm@5820
   286
wenzelm@5820
   287
(* mode *)
wenzelm@5820
   288
wenzelm@7176
   289
fun get_mode (State (Node {mode, ...}, _)) = mode;
wenzelm@5820
   290
fun put_mode mode = map_current (fn (ctxt, facts, _, goal) => (ctxt, facts, mode, goal));
wenzelm@5820
   291
wenzelm@5820
   292
val enter_forward = put_mode Forward;
wenzelm@5820
   293
val enter_forward_chain = put_mode ForwardChain;
wenzelm@5820
   294
val enter_backward = put_mode Backward;
wenzelm@5820
   295
wenzelm@5820
   296
fun assert_mode pred state =
wenzelm@5820
   297
  let val mode = get_mode state in
wenzelm@5820
   298
    if pred mode then state
wenzelm@12010
   299
    else raise STATE ("Illegal application of proof command in "
wenzelm@12010
   300
      ^ quote (mode_name mode) ^ " mode", state)
wenzelm@5820
   301
  end;
wenzelm@5820
   302
wenzelm@5820
   303
fun is_chain state = get_mode state = ForwardChain;
wenzelm@5820
   304
val assert_forward = assert_mode (equal Forward);
wenzelm@5820
   305
val assert_forward_or_chain = assert_mode (equal Forward orf equal ForwardChain);
wenzelm@5820
   306
val assert_backward = assert_mode (equal Backward);
wenzelm@8206
   307
val assert_no_chain = assert_mode (not_equal ForwardChain);
wenzelm@5820
   308
wenzelm@5820
   309
wenzelm@5820
   310
(* blocks *)
wenzelm@5820
   311
wenzelm@6776
   312
fun level (State (_, nodes)) = length nodes;
wenzelm@6776
   313
wenzelm@5820
   314
fun open_block (State (node, nodes)) = State (node, node :: nodes);
wenzelm@5820
   315
wenzelm@5820
   316
fun new_block state =
wenzelm@5820
   317
  state
wenzelm@5820
   318
  |> open_block
wenzelm@5820
   319
  |> put_goal None;
wenzelm@5820
   320
wenzelm@7487
   321
fun close_block (state as State (_, node :: nodes)) = State (node, nodes)
wenzelm@5820
   322
  | close_block state = raise STATE ("Unbalanced block parentheses", state);
wenzelm@5820
   323
wenzelm@5820
   324
wenzelm@5820
   325
wenzelm@12423
   326
(** pretty_state **)
wenzelm@5820
   327
nipkow@13869
   328
val show_main_goal = ref false;
nipkow@13698
   329
wenzelm@6529
   330
val verbose = ProofContext.verbose;
wenzelm@6529
   331
wenzelm@12085
   332
fun pretty_goals_local ctxt = Display.pretty_goals_aux
wenzelm@12085
   333
  (ProofContext.pretty_sort ctxt, ProofContext.pretty_typ ctxt, ProofContext.pretty_term ctxt);
wenzelm@12085
   334
wenzelm@12055
   335
fun pretty_facts _ _ None = []
wenzelm@12055
   336
  | pretty_facts s ctxt (Some ths) =
wenzelm@12055
   337
      [Pretty.big_list (s ^ "this:") (map (ProofContext.pretty_thm ctxt) ths), Pretty.str ""];
wenzelm@6756
   338
wenzelm@12423
   339
fun pretty_state nr (state as State (Node {context = ctxt, facts, mode, goal = _}, nodes)) =
wenzelm@5820
   340
  let
wenzelm@11891
   341
    val ref (_, _, begin_goal) = Display.current_goals_markers;
wenzelm@5820
   342
wenzelm@5820
   343
    fun levels_up 0 = ""
wenzelm@7575
   344
      | levels_up 1 = ", 1 level up"
wenzelm@7575
   345
      | levels_up i = ", " ^ string_of_int i ^ " levels up";
wenzelm@5820
   346
wenzelm@11556
   347
    fun subgoals 0 = ""
wenzelm@11556
   348
      | subgoals 1 = ", 1 subgoal"
wenzelm@11556
   349
      | subgoals n = ", " ^ string_of_int n ^ " subgoals";
wenzelm@12146
   350
wenzelm@12146
   351
    fun prt_names names =
wenzelm@12242
   352
      (case filter_out (equal "") names of [] => ""
wenzelm@12308
   353
      | nms => " " ^ enclose "(" ")" (space_implode " and " (take (7, nms) @
wenzelm@12308
   354
          (if length nms > 7 then ["..."] else []))));
wenzelm@12146
   355
wenzelm@12146
   356
    fun prt_goal (_, (i, (((kind, names, _), (goal_facts, thm)), _))) =
wenzelm@12085
   357
      pretty_facts "using " ctxt
wenzelm@8462
   358
        (if mode <> Backward orelse null goal_facts then None else Some goal_facts) @
wenzelm@12146
   359
      [Pretty.str ("goal (" ^ kind_name (sign_of state) kind ^ prt_names names ^
wenzelm@12146
   360
          levels_up (i div 2) ^ subgoals (Thm.nprems_of thm) ^ "):")] @
nipkow@13698
   361
      pretty_goals_local ctxt begin_goal (true, !show_main_goal) (! Display.goals_limit) thm;
wenzelm@6848
   362
wenzelm@8462
   363
    val ctxt_prts =
wenzelm@12085
   364
      if ! verbose orelse mode = Forward then ProofContext.pretty_context ctxt
wenzelm@12085
   365
      else if mode = Backward then ProofContext.pretty_asms ctxt
wenzelm@7575
   366
      else [];
wenzelm@8462
   367
wenzelm@8462
   368
    val prts =
wenzelm@8582
   369
     [Pretty.str ("proof (" ^ mode_name mode ^ "): step " ^ string_of_int nr ^
wenzelm@12010
   370
        (if ! verbose then ", depth " ^ string_of_int (length nodes div 2 - 1)
wenzelm@8561
   371
        else "")), Pretty.str ""] @
wenzelm@8462
   372
     (if null ctxt_prts then [] else ctxt_prts @ [Pretty.str ""]) @
wenzelm@8462
   373
     (if ! verbose orelse mode = Forward then
wenzelm@12146
   374
       (pretty_facts "" ctxt facts @ prt_goal (find_goal state))
wenzelm@12085
   375
      else if mode = ForwardChain then pretty_facts "picking " ctxt facts
wenzelm@12146
   376
      else prt_goal (find_goal state))
wenzelm@12423
   377
  in prts end;
wenzelm@5820
   378
wenzelm@12085
   379
fun pretty_goals main state =
wenzelm@12085
   380
  let val (ctxt, (_, ((_, (_, thm)), _))) = find_goal state
wenzelm@12085
   381
  in pretty_goals_local ctxt "" (false, main) (! Display.goals_limit) thm end;
wenzelm@10320
   382
wenzelm@5820
   383
wenzelm@5820
   384
wenzelm@5820
   385
(** proof steps **)
wenzelm@5820
   386
wenzelm@5820
   387
(* datatype method *)
wenzelm@5820
   388
wenzelm@8374
   389
datatype method =
wenzelm@8374
   390
  Method of thm list -> thm -> (thm * (string * RuleCases.T) list) Seq.seq;
wenzelm@8374
   391
wenzelm@8374
   392
fun method tac = Method (fn facts => fn st => Seq.map (rpair []) (tac facts st));
wenzelm@8374
   393
val method_cases = Method;
wenzelm@5820
   394
wenzelm@5820
   395
wenzelm@5820
   396
(* refine goal *)
wenzelm@5820
   397
wenzelm@8234
   398
local
wenzelm@8234
   399
wenzelm@5820
   400
fun check_sign sg state =
wenzelm@5820
   401
  if Sign.subsig (sg, sign_of state) then state
wenzelm@5820
   402
  else raise STATE ("Bad signature of result: " ^ Sign.str_of_sg sg, state);
wenzelm@5820
   403
wenzelm@8234
   404
fun gen_refine current_context meth_fun state =
wenzelm@6848
   405
  let
wenzelm@12971
   406
    val (goal_ctxt, (_, ((result, (facts, thm)), x))) = find_goal state;
wenzelm@8234
   407
    val Method meth = meth_fun (if current_context then context_of state else goal_ctxt);
wenzelm@5820
   408
wenzelm@8374
   409
    fun refn (thm', cases) =
wenzelm@6848
   410
      state
wenzelm@6848
   411
      |> check_sign (Thm.sign_of_thm thm')
wenzelm@12971
   412
      |> map_goal (ProofContext.add_cases cases) (K ((result, (facts, thm')), x));
wenzelm@6848
   413
  in Seq.map refn (meth facts thm) end;
wenzelm@5820
   414
wenzelm@8234
   415
in
wenzelm@8234
   416
wenzelm@8234
   417
val refine = gen_refine true;
wenzelm@8234
   418
val refine_end = gen_refine false;
wenzelm@8234
   419
wenzelm@8234
   420
end;
wenzelm@8234
   421
wenzelm@5820
   422
wenzelm@11917
   423
(* goal addressing *)
wenzelm@6932
   424
wenzelm@8152
   425
fun FINDGOAL tac st =
wenzelm@8374
   426
  let fun find (i, n) = if i > n then Seq.fail else Seq.APPEND (tac i, find (i + 1, n))
wenzelm@8374
   427
  in find (1, Thm.nprems_of st) st end;
wenzelm@8152
   428
wenzelm@8166
   429
fun HEADGOAL tac = tac 1;
wenzelm@8166
   430
wenzelm@9469
   431
wenzelm@9469
   432
(* export results *)
wenzelm@9469
   433
wenzelm@11816
   434
fun refine_tac rule =
wenzelm@12703
   435
  Tactic.norm_hhf_tac THEN' Tactic.rtac rule THEN_ALL_NEW (SUBGOAL (fn (goal, i) =>
wenzelm@11816
   436
    if can Logic.dest_goal (Logic.strip_assums_concl goal) then
wenzelm@11816
   437
      Tactic.etac Drule.triv_goal i
wenzelm@11816
   438
    else all_tac));
wenzelm@11816
   439
wenzelm@12146
   440
fun export_goal inner print_rule raw_rule state =
wenzelm@6932
   441
  let
wenzelm@12971
   442
    val (outer, (_, ((result, (facts, thm)), x))) = find_goal state;
wenzelm@12010
   443
    val exp_tac = ProofContext.export true inner outer;
wenzelm@9469
   444
    fun exp_rule rule =
wenzelm@9469
   445
      let
wenzelm@12055
   446
        val _ = print_rule outer rule;
wenzelm@11816
   447
        val thmq = FINDGOAL (refine_tac rule) thm;
wenzelm@12971
   448
      in Seq.map (fn th => map_goal I (K ((result, (facts, th)), x)) state) thmq end;
wenzelm@9469
   449
  in raw_rule |> exp_tac |> (Seq.flat o Seq.map exp_rule) end;
wenzelm@6932
   450
wenzelm@12146
   451
fun export_goals inner print_rule raw_rules =
wenzelm@12146
   452
  Seq.EVERY (map (export_goal inner print_rule) raw_rules);
wenzelm@12146
   453
wenzelm@6932
   454
fun transfer_facts inner_state state =
wenzelm@6932
   455
  (case get_facts inner_state of
wenzelm@6932
   456
    None => Seq.single (reset_facts state)
wenzelm@8617
   457
  | Some thms =>
wenzelm@8617
   458
      let
wenzelm@12010
   459
        val exp_tac = ProofContext.export false (context_of inner_state) (context_of state);
wenzelm@11816
   460
        val thmqs = map exp_tac thms;
wenzelm@8617
   461
      in Seq.map (fn ths => put_facts (Some ths) state) (Seq.commute thmqs) end);
wenzelm@6932
   462
wenzelm@6932
   463
wenzelm@6932
   464
(* prepare result *)
wenzelm@6932
   465
wenzelm@12146
   466
fun prep_result state ts raw_th =
wenzelm@5820
   467
  let
wenzelm@5820
   468
    val ctxt = context_of state;
wenzelm@5820
   469
    fun err msg = raise STATE (msg, state);
wenzelm@5820
   470
wenzelm@12146
   471
    val ngoals = Thm.nprems_of raw_th;
wenzelm@5820
   472
    val _ =
wenzelm@5820
   473
      if ngoals = 0 then ()
nipkow@13698
   474
      else (err (Pretty.string_of (Pretty.chunks (pretty_goals_local ctxt "" (true, !show_main_goal)
wenzelm@12146
   475
            (! Display.goals_limit) raw_th @
wenzelm@12085
   476
          [Pretty.str (string_of_int ngoals ^ " unsolved goal(s)!")]))));
wenzelm@5820
   477
wenzelm@12146
   478
    val {hyps, sign, ...} = Thm.rep_thm raw_th;
wenzelm@5820
   479
    val tsig = Sign.tsig_of sign;
wenzelm@12055
   480
    val casms = flat (map #1 (ProofContext.assumptions_of (context_of state)));
wenzelm@11816
   481
    val bad_hyps = Library.gen_rems Term.aconv (hyps, map Thm.term_of casms);
wenzelm@12146
   482
wenzelm@12146
   483
    val th = raw_th RS Drule.rev_triv_goal;
wenzelm@12146
   484
    val ths = Drule.conj_elim_precise (length ts) th
wenzelm@12146
   485
      handle THM _ => err "Main goal structure corrupted";
wenzelm@5820
   486
  in
wenzelm@12146
   487
    conditional (not (null bad_hyps)) (fn () => err ("Additional hypotheses:\n" ^
wenzelm@12146
   488
        cat_lines (map (ProofContext.string_of_term ctxt) bad_hyps)));
wenzelm@12808
   489
    conditional (exists (not o Pattern.matches tsig) (ts ~~ map Thm.prop_of ths)) (fn () =>
wenzelm@12146
   490
      err ("Proved a different theorem: " ^ Pretty.string_of (ProofContext.pretty_thm ctxt th)));
wenzelm@12146
   491
    ths
wenzelm@5820
   492
  end;
wenzelm@5820
   493
wenzelm@5820
   494
wenzelm@5820
   495
wenzelm@5820
   496
(*** structured proof commands ***)
wenzelm@5820
   497
wenzelm@5820
   498
(** context **)
wenzelm@5820
   499
wenzelm@5820
   500
(* bind *)
wenzelm@5820
   501
wenzelm@5820
   502
fun gen_bind f x state =
wenzelm@5820
   503
  state
wenzelm@5820
   504
  |> assert_forward
wenzelm@5820
   505
  |> map_context (f x)
wenzelm@5820
   506
  |> reset_facts;
wenzelm@5820
   507
wenzelm@8617
   508
val match_bind = gen_bind (ProofContext.match_bind false);
wenzelm@8617
   509
val match_bind_i = gen_bind (ProofContext.match_bind_i false);
wenzelm@8617
   510
val let_bind = gen_bind (ProofContext.match_bind true);
wenzelm@8617
   511
val let_bind_i = gen_bind (ProofContext.match_bind_i true);
wenzelm@5820
   512
wenzelm@5820
   513
wenzelm@12714
   514
(* have_thmss *)
ballarin@14508
   515
(* CB: this implements "note" of the Isar/VM *)
wenzelm@5820
   516
wenzelm@12714
   517
local
wenzelm@12714
   518
wenzelm@12714
   519
fun gen_have_thmss f args state =
wenzelm@5820
   520
  state
wenzelm@5820
   521
  |> assert_forward
wenzelm@12714
   522
  |> map_context_result (f args)
wenzelm@9196
   523
  |> these_factss;
wenzelm@5820
   524
wenzelm@12714
   525
in
wenzelm@12714
   526
wenzelm@12714
   527
val have_thmss = gen_have_thmss ProofContext.have_thmss;
wenzelm@12714
   528
val have_thmss_i = gen_have_thmss ProofContext.have_thmss_i;
wenzelm@12714
   529
wenzelm@12714
   530
fun simple_have_thms name thms = have_thmss_i [((name, []), [(thms, [])])];
wenzelm@12714
   531
wenzelm@12714
   532
end;
wenzelm@12714
   533
wenzelm@12714
   534
wenzelm@12714
   535
(* with_thmss *)
wenzelm@9196
   536
wenzelm@12714
   537
local
wenzelm@12714
   538
wenzelm@12714
   539
fun gen_with_thmss f args state =
wenzelm@12714
   540
  let val state' = state |> f args
wenzelm@9196
   541
  in state' |> simple_have_thms "" (the_facts state' @ the_facts state) end;
wenzelm@6876
   542
wenzelm@12714
   543
in
wenzelm@12714
   544
wenzelm@12714
   545
val with_thmss = gen_with_thmss have_thmss;
wenzelm@12714
   546
val with_thmss_i = gen_with_thmss have_thmss_i;
wenzelm@12714
   547
wenzelm@12714
   548
end;
wenzelm@12714
   549
wenzelm@5820
   550
wenzelm@12930
   551
(* using_thmss *)
wenzelm@12930
   552
wenzelm@12930
   553
local
wenzelm@12930
   554
wenzelm@12930
   555
fun gen_using_thmss f args state =
wenzelm@12930
   556
  state
wenzelm@12930
   557
  |> assert_backward
wenzelm@12930
   558
  |> map_context_result (f (map (pair ("", [])) args))
wenzelm@12930
   559
  |> (fn (st, named_facts) =>
wenzelm@12971
   560
    let val (_, (_, ((result, (facts, thm)), x))) = find_goal st;
wenzelm@12971
   561
    in st |> map_goal I (K ((result, (facts @ flat (map snd named_facts), thm)), x)) end);
wenzelm@12930
   562
wenzelm@12930
   563
in
wenzelm@12930
   564
wenzelm@12930
   565
val using_thmss = gen_using_thmss ProofContext.have_thmss;
wenzelm@12930
   566
val using_thmss_i = gen_using_thmss ProofContext.have_thmss_i;
wenzelm@12930
   567
wenzelm@12930
   568
end;
wenzelm@12930
   569
wenzelm@12930
   570
ballarin@14508
   571
(* locale instantiation *)
ballarin@14508
   572
ballarin@14528
   573
fun instantiate_locale (loc_name, prfx_attribs) state = let
ballarin@14508
   574
    val facts = if is_chain state then get_facts state else None;
ballarin@14508
   575
  in
ballarin@14508
   576
    state
ballarin@14508
   577
    |> assert_forward_or_chain
ballarin@14508
   578
    |> enter_forward
ballarin@14508
   579
    |> reset_facts
ballarin@14528
   580
    |> map_context (Locale.instantiate loc_name prfx_attribs facts)
ballarin@14508
   581
  end;
ballarin@14508
   582
wenzelm@5820
   583
(* fix *)
wenzelm@5820
   584
wenzelm@5820
   585
fun gen_fix f xs state =
wenzelm@5820
   586
  state
wenzelm@5820
   587
  |> assert_forward
wenzelm@5820
   588
  |> map_context (f xs)
wenzelm@5820
   589
  |> reset_facts;
wenzelm@5820
   590
wenzelm@5820
   591
val fix = gen_fix ProofContext.fix;
wenzelm@5820
   592
val fix_i = gen_fix ProofContext.fix_i;
wenzelm@5820
   593
wenzelm@5820
   594
wenzelm@11891
   595
(* assume and presume *)
wenzelm@5820
   596
wenzelm@9469
   597
fun gen_assume f exp args state =
wenzelm@5820
   598
  state
wenzelm@5820
   599
  |> assert_forward
wenzelm@9469
   600
  |> map_context_result (f exp args)
wenzelm@11924
   601
  |> these_factss;
wenzelm@6932
   602
wenzelm@7271
   603
val assm = gen_assume ProofContext.assume;
wenzelm@7271
   604
val assm_i = gen_assume ProofContext.assume_i;
wenzelm@11917
   605
val assume = assm ProofContext.export_assume;
wenzelm@11917
   606
val assume_i = assm_i ProofContext.export_assume;
wenzelm@11917
   607
val presume = assm ProofContext.export_presume;
wenzelm@11917
   608
val presume_i = assm_i ProofContext.export_presume;
wenzelm@5820
   609
wenzelm@7271
   610
wenzelm@5820
   611
wenzelm@11891
   612
(** local definitions **)
wenzelm@11891
   613
wenzelm@11891
   614
fun gen_def fix prep_term prep_pats raw_name atts (x, (raw_rhs, raw_pats)) state =
wenzelm@11891
   615
  let
wenzelm@11891
   616
    val _ = assert_forward state;
wenzelm@11891
   617
    val ctxt = context_of state;
wenzelm@11891
   618
wenzelm@11891
   619
    (*rhs*)
wenzelm@11891
   620
    val name = if raw_name = "" then Thm.def_name x else raw_name;
wenzelm@11891
   621
    val rhs = prep_term ctxt raw_rhs;
wenzelm@11891
   622
    val T = Term.fastype_of rhs;
wenzelm@11891
   623
    val pats = prep_pats T (ProofContext.declare_term rhs ctxt) raw_pats;
wenzelm@11891
   624
wenzelm@11891
   625
    (*lhs*)
wenzelm@11891
   626
    val lhs = ProofContext.bind_skolem ctxt [x] (Free (x, T));
wenzelm@11891
   627
  in
wenzelm@11891
   628
    state
wenzelm@11891
   629
    |> fix [([x], None)]
wenzelm@11891
   630
    |> match_bind_i [(pats, rhs)]
wenzelm@11917
   631
    |> assm_i ProofContext.export_def [((name, atts), [(Logic.mk_equals (lhs, rhs), ([], []))])]
wenzelm@11891
   632
  end;
wenzelm@11891
   633
wenzelm@11891
   634
val def = gen_def fix ProofContext.read_term ProofContext.read_term_pats;
wenzelm@11891
   635
val def_i = gen_def fix_i ProofContext.cert_term ProofContext.cert_term_pats;
wenzelm@11891
   636
wenzelm@11891
   637
wenzelm@8374
   638
(* invoke_case *)
wenzelm@8374
   639
wenzelm@11793
   640
fun invoke_case (name, xs, atts) state =
wenzelm@9292
   641
  let
wenzelm@10830
   642
    val (state', (lets, asms)) =
wenzelm@11793
   643
      map_context_result (ProofContext.apply_case (get_case state name xs)) state;
wenzelm@13425
   644
    val assumptions = asms |> map (fn (a, ts) =>
wenzelm@13425
   645
      ((if a = "" then "" else NameSpace.append name a, atts), map (rpair ([], [])) ts));
wenzelm@13425
   646
    val qnames = filter_out (equal "") (map (#1 o #1) assumptions);
wenzelm@9292
   647
  in
wenzelm@10830
   648
    state'
wenzelm@10809
   649
    |> add_binds_i lets
wenzelm@13425
   650
    |> map_context (ProofContext.qualified true)
wenzelm@13425
   651
    |> assume_i assumptions
wenzelm@13425
   652
    |> map_context (ProofContext.hide_thms false qnames)
wenzelm@13425
   653
    |> (fn st => simple_have_thms name (the_facts st) st)
wenzelm@13425
   654
    |> map_context (ProofContext.restore_qualified (context_of state))
wenzelm@8374
   655
  end;
wenzelm@8374
   656
wenzelm@8374
   657
wenzelm@5820
   658
wenzelm@5820
   659
(** goals **)
wenzelm@5820
   660
wenzelm@5820
   661
(* forward chaining *)
wenzelm@5820
   662
wenzelm@5820
   663
fun chain state =
wenzelm@5820
   664
  state
wenzelm@5820
   665
  |> assert_forward
wenzelm@6848
   666
  |> assert_facts
wenzelm@5820
   667
  |> enter_forward_chain;
wenzelm@5820
   668
wenzelm@5820
   669
fun from_facts facts state =
wenzelm@5820
   670
  state
wenzelm@5820
   671
  |> put_facts (Some facts)
wenzelm@5820
   672
  |> chain;
wenzelm@5820
   673
wenzelm@5820
   674
wenzelm@5820
   675
(* setup goals *)
wenzelm@5820
   676
wenzelm@11549
   677
val rule_contextN = "rule_context";
wenzelm@8991
   678
wenzelm@12971
   679
fun setup_goal opt_block prepp autofix kind after_qed pr names raw_propp state =
wenzelm@5820
   680
  let
wenzelm@12146
   681
    val (state', (propss, gen_binds)) =
wenzelm@5936
   682
      state
wenzelm@5936
   683
      |> assert_forward_or_chain
wenzelm@5936
   684
      |> enter_forward
wenzelm@8617
   685
      |> opt_block
wenzelm@12534
   686
      |> map_context_result (fn ctxt => prepp (ctxt, raw_propp));
wenzelm@12808
   687
    val sign' = sign_of state';
wenzelm@12146
   688
wenzelm@12146
   689
    val props = flat propss;
wenzelm@12808
   690
    val cprop = Thm.cterm_of sign' (Logic.mk_conjunction_list props);
wenzelm@7556
   691
    val goal = Drule.mk_triv_goal cprop;
wenzelm@10553
   692
wenzelm@12146
   693
    val tvars = foldr Term.add_term_tvars (props, []);
wenzelm@12146
   694
    val vars = foldr Term.add_term_vars (props, []);
wenzelm@5820
   695
  in
wenzelm@10553
   696
    if null tvars then ()
wenzelm@10553
   697
    else raise STATE ("Goal statement contains illegal schematic type variable(s): " ^
wenzelm@10553
   698
      commas (map (Syntax.string_of_vname o #1) tvars), state);
wenzelm@10553
   699
    if null vars then ()
wenzelm@10553
   700
    else warning ("Goal statement contains unbound schematic variable(s): " ^
wenzelm@12055
   701
      commas (map (ProofContext.string_of_term (context_of state')) vars));
wenzelm@5936
   702
    state'
wenzelm@12146
   703
    |> map_context (autofix props)
wenzelm@12971
   704
    |> put_goal (Some (((kind, names, propss), ([], goal)),
wenzelm@12971
   705
      (after_qed o map_context gen_binds, pr)))
wenzelm@12167
   706
    |> map_context (ProofContext.add_cases
wenzelm@12808
   707
     (if length props = 1 then
nipkow@14404
   708
      RuleCases.make true None (Thm.sign_of_thm goal, Thm.prop_of goal) [rule_contextN]
wenzelm@12167
   709
      else [(rule_contextN, RuleCases.empty)]))
wenzelm@12146
   710
    |> auto_bind_goal props
wenzelm@5820
   711
    |> (if is_chain state then use_facts else reset_facts)
wenzelm@5820
   712
    |> new_block
wenzelm@5820
   713
    |> enter_backward
wenzelm@5820
   714
  end;
wenzelm@5820
   715
wenzelm@5820
   716
(*global goals*)
wenzelm@12959
   717
fun global_goal prep kind raw_locale a elems concl thy =
wenzelm@12503
   718
  let
wenzelm@12549
   719
    val init = init_state thy;
wenzelm@13399
   720
    val (opt_name, view, locale_ctxt, elems_ctxt, propp) =
wenzelm@12959
   721
      prep (apsome fst raw_locale) elems (map snd concl) (context_of init);
wenzelm@12503
   722
  in
wenzelm@12549
   723
    init
wenzelm@12549
   724
    |> open_block
wenzelm@12511
   725
    |> map_context (K locale_ctxt)
wenzelm@12065
   726
    |> open_block
wenzelm@12511
   727
    |> map_context (K elems_ctxt)
wenzelm@12959
   728
    |> setup_goal I ProofContext.bind_propp_schematic_i ProofContext.fix_frees
wenzelm@13415
   729
      (Theorem {kind = kind,
wenzelm@13415
   730
        theory_spec = (a, map (snd o fst) concl),
wenzelm@13415
   731
        locale_spec = (case raw_locale of None => None | Some (_, x) => Some (the opt_name, x)),
wenzelm@13415
   732
        view = view})
wenzelm@12971
   733
      Seq.single true (map (fst o fst) concl) propp
wenzelm@12065
   734
  end;
wenzelm@5820
   735
wenzelm@12534
   736
val multi_theorem = global_goal Locale.read_context_statement;
wenzelm@12534
   737
val multi_theorem_i = global_goal Locale.cert_context_statement;
wenzelm@12146
   738
wenzelm@5820
   739
wenzelm@5820
   740
(*local goals*)
wenzelm@12971
   741
fun local_goal' prepp kind (check: bool -> state -> state) f pr args int state =
wenzelm@7928
   742
  state
wenzelm@12146
   743
  |> setup_goal open_block prepp (K I) (kind (map (snd o fst) args))
wenzelm@12971
   744
    f pr (map (fst o fst) args) (map snd args)
wenzelm@10936
   745
  |> warn_extra_tfrees state
wenzelm@10936
   746
  |> check int;
wenzelm@5820
   747
wenzelm@12971
   748
fun local_goal prepp kind f pr args = local_goal' prepp kind (K I) f pr args false;
wenzelm@10936
   749
wenzelm@10936
   750
val show = local_goal' ProofContext.bind_propp Show;
wenzelm@10936
   751
val show_i = local_goal' ProofContext.bind_propp_i Show;
wenzelm@10936
   752
val have = local_goal ProofContext.bind_propp Have;
wenzelm@10380
   753
val have_i = local_goal ProofContext.bind_propp_i Have;
wenzelm@5820
   754
wenzelm@5820
   755
wenzelm@5820
   756
wenzelm@5820
   757
(** conclusions **)
wenzelm@5820
   758
wenzelm@5820
   759
(* current goal *)
wenzelm@5820
   760
wenzelm@7176
   761
fun current_goal (State (Node {context, goal = Some goal, ...}, _)) = (context, goal)
wenzelm@5820
   762
  | current_goal state = raise STATE ("No current goal!", state);
wenzelm@5820
   763
wenzelm@7176
   764
fun assert_current_goal true (state as State (Node {goal = None, ...}, _)) =
wenzelm@6404
   765
      raise STATE ("No goal in this block!", state)
wenzelm@7176
   766
  | assert_current_goal false (state as State (Node {goal = Some _, ...}, _)) =
wenzelm@6404
   767
      raise STATE ("Goal present in this block!", state)
wenzelm@6404
   768
  | assert_current_goal _ state = state;
wenzelm@5820
   769
wenzelm@12010
   770
fun assert_bottom b (state as State (_, nodes)) =
wenzelm@12010
   771
  let val bot = (length nodes <= 2) in
wenzelm@12010
   772
    if b andalso not bot then raise STATE ("Not at bottom of proof!", state)
wenzelm@12010
   773
    else if not b andalso bot then raise STATE ("Already at bottom of proof!", state)
wenzelm@12010
   774
    else state
wenzelm@12010
   775
  end;
wenzelm@5820
   776
wenzelm@6404
   777
val at_bottom = can (assert_bottom true o close_block);
wenzelm@6404
   778
wenzelm@6932
   779
fun end_proof bot state =
wenzelm@5820
   780
  state
wenzelm@5820
   781
  |> assert_forward
wenzelm@5820
   782
  |> close_block
wenzelm@5820
   783
  |> assert_bottom bot
wenzelm@7011
   784
  |> assert_current_goal true
wenzelm@7011
   785
  |> goal_facts (K []);
wenzelm@5820
   786
wenzelm@5820
   787
wenzelm@6404
   788
(* local_qed *)
wenzelm@5820
   789
wenzelm@6982
   790
fun finish_local (print_result, print_rule) state =
wenzelm@5820
   791
  let
wenzelm@12971
   792
    val (goal_ctxt, (((kind, names, tss), (_, raw_thm)), (after_qed, pr))) = current_goal state;
wenzelm@8617
   793
    val outer_state = state |> close_block;
wenzelm@8617
   794
    val outer_ctxt = context_of outer_state;
wenzelm@8617
   795
wenzelm@12146
   796
    val ts = flat tss;
wenzelm@12146
   797
    val results = prep_result state ts raw_thm;
wenzelm@12146
   798
    val resultq =
wenzelm@12146
   799
      results |> map (ProofContext.export false goal_ctxt outer_ctxt)
wenzelm@12146
   800
      |> Seq.commute |> Seq.map (Library.unflat tss);
wenzelm@9469
   801
wenzelm@12146
   802
    val (attss, opt_solve) =
wenzelm@5820
   803
      (case kind of
wenzelm@12971
   804
        Show attss => (attss,
wenzelm@12971
   805
          export_goals goal_ctxt (if pr then print_rule else (K (K ()))) results)
wenzelm@12146
   806
      | Have attss => (attss, Seq.single)
wenzelm@6932
   807
      | _ => err_malformed "finish_local" state);
wenzelm@5820
   808
  in
wenzelm@12971
   809
    conditional pr (fn () => print_result goal_ctxt
wenzelm@12971
   810
      (kind_name (sign_of state) kind, names ~~ Library.unflat tss results));
wenzelm@8617
   811
    outer_state
wenzelm@12549
   812
    |> auto_bind_facts (ProofContext.generalize goal_ctxt outer_ctxt ts)
wenzelm@9469
   813
    |> (fn st => Seq.map (fn res =>
wenzelm@12714
   814
      have_thmss_i ((names ~~ attss) ~~ map (single o Thm.no_attributes) res) st) resultq)
wenzelm@9469
   815
    |> (Seq.flat o Seq.map opt_solve)
wenzelm@7176
   816
    |> (Seq.flat o Seq.map after_qed)
wenzelm@5820
   817
  end;
wenzelm@5820
   818
wenzelm@6982
   819
fun local_qed finalize print state =
wenzelm@6404
   820
  state
wenzelm@6932
   821
  |> end_proof false
wenzelm@6871
   822
  |> finalize
wenzelm@6982
   823
  |> (Seq.flat o Seq.map (finish_local print));
wenzelm@5820
   824
wenzelm@5820
   825
wenzelm@12703
   826
(* global_qed *)
wenzelm@12065
   827
wenzelm@6950
   828
fun finish_global state =
wenzelm@5820
   829
  let
wenzelm@12146
   830
    val (goal_ctxt, (((kind, names, tss), (_, raw_thm)), _)) = current_goal state;
wenzelm@12065
   831
    val locale_ctxt = context_of (state |> close_block);
wenzelm@12065
   832
    val theory_ctxt = context_of (state |> close_block |> close_block);
wenzelm@13415
   833
    val {kind = k, theory_spec = ((name, atts), attss), locale_spec, view} =
wenzelm@13399
   834
      (case kind of Theorem x => x | _ => err_malformed "finish_global" state);
wenzelm@5820
   835
wenzelm@12146
   836
    val ts = flat tss;
wenzelm@13415
   837
    val locale_results = map (ProofContext.export_standard [] goal_ctxt locale_ctxt)
wenzelm@13377
   838
      (prep_result state ts raw_thm);
ballarin@14215
   839
ballarin@14215
   840
    val locale_results' = map
ballarin@14215
   841
      (Locale.prune_prems (ProofContext.theory_of locale_ctxt))
ballarin@14215
   842
      locale_results;
ballarin@14215
   843
wenzelm@13377
   844
    val results = map (Drule.strip_shyps_warning o
ballarin@14215
   845
      ProofContext.export_standard view locale_ctxt theory_ctxt) locale_results';
wenzelm@12703
   846
wenzelm@12959
   847
    val (theory', results') =
wenzelm@12959
   848
      theory_of state
wenzelm@13415
   849
      |> (case locale_spec of None => I | Some (loc, (loc_atts, loc_attss)) => fn thy =>
wenzelm@12959
   850
        if length names <> length loc_attss then
wenzelm@12959
   851
          raise THEORY ("Bad number of locale attributes", [thy])
wenzelm@13335
   852
        else (thy, locale_ctxt)
ballarin@14215
   853
          |> Locale.add_thmss loc ((names ~~ Library.unflat tss locale_results') ~~ loc_attss)
wenzelm@13335
   854
          |> (fn ((thy', ctxt'), res) =>
wenzelm@12959
   855
            if name = "" andalso null loc_atts then thy'
wenzelm@13335
   856
            else (thy', ctxt')
wenzelm@13377
   857
              |> (#1 o #1 o Locale.add_thmss loc [((name, flat (map #2 res)), loc_atts)])))
wenzelm@13415
   858
      |> Locale.smart_have_thmss k locale_spec
wenzelm@12703
   859
        ((names ~~ attss) ~~ map (single o Thm.no_attributes) (Library.unflat tss results))
wenzelm@12959
   860
      |> (fn (thy, res) => (thy, res)
wenzelm@13415
   861
          |>> (#1 o Locale.smart_have_thmss k locale_spec
wenzelm@12959
   862
            [((name, atts), [(flat (map #2 res), [])])]));
wenzelm@12959
   863
  in (theory', ((k, name), results')) end;
wenzelm@12959
   864
wenzelm@5820
   865
wenzelm@10553
   866
(*note: clients should inspect first result only, as backtracking may destroy theory*)
wenzelm@6950
   867
fun global_qed finalize state =
wenzelm@5820
   868
  state
wenzelm@6932
   869
  |> end_proof true
wenzelm@6871
   870
  |> finalize
wenzelm@12065
   871
  |> Seq.map finish_global;
wenzelm@5820
   872
wenzelm@5820
   873
wenzelm@6896
   874
wenzelm@6896
   875
(** blocks **)
wenzelm@6896
   876
wenzelm@6896
   877
(* begin_block *)
wenzelm@6896
   878
wenzelm@6896
   879
fun begin_block state =
wenzelm@6896
   880
  state
wenzelm@6896
   881
  |> assert_forward
wenzelm@6896
   882
  |> new_block
wenzelm@6896
   883
  |> open_block;
wenzelm@6896
   884
wenzelm@6896
   885
wenzelm@6896
   886
(* end_block *)
wenzelm@6896
   887
wenzelm@6896
   888
fun end_block state =
wenzelm@6896
   889
  state
wenzelm@6896
   890
  |> assert_forward
wenzelm@6896
   891
  |> close_block
wenzelm@6896
   892
  |> assert_current_goal false
wenzelm@6896
   893
  |> close_block
wenzelm@6932
   894
  |> transfer_facts state;
wenzelm@6896
   895
wenzelm@6896
   896
wenzelm@6896
   897
(* next_block *)
wenzelm@6896
   898
wenzelm@6896
   899
fun next_block state =
wenzelm@6896
   900
  state
wenzelm@6896
   901
  |> assert_forward
wenzelm@6896
   902
  |> close_block
wenzelm@8718
   903
  |> new_block
wenzelm@8718
   904
  |> reset_facts;
wenzelm@6896
   905
wenzelm@6896
   906
wenzelm@5820
   907
end;
wenzelm@8152
   908
wenzelm@8152
   909
structure BasicProof: BASIC_PROOF = Proof;
wenzelm@8152
   910
open BasicProof;