src/Pure/goal.ML
author wenzelm
Thu, 16 Oct 2008 22:44:28 +0200
changeset 28619 89f9dd800a22
parent 28446 a01de3b3fa2e
child 28973 c549650d1442
permissions -rw-r--r--
prove_common: include all sorts from context into statement, check shyps of result; Drule.norm_hhf_eqs;
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
17980
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
     1
(*  Title:      Pure/goal.ML
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
     2
    ID:         $Id$
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
     3
    Author:     Makarius and Lawrence C Paulson
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
     4
18139
wenzelm
parents: 18119
diff changeset
     5
Goals in tactical theorem proving.
17980
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
     6
*)
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
     7
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
     8
signature BASIC_GOAL =
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
     9
sig
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
    10
  val SELECT_GOAL: tactic -> int -> tactic
23418
c195f6f13769 balanced conjunctions;
wenzelm
parents: 23414
diff changeset
    11
  val CONJUNCTS: tactic -> int -> tactic
23414
927203ad4b3a tuned conjunction tactics: slightly smaller proof terms;
wenzelm
parents: 23356
diff changeset
    12
  val PRECISE_CONJUNCTS: int -> tactic -> int -> tactic
17980
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
    13
end;
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
    14
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
    15
signature GOAL =
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
    16
sig
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
    17
  include BASIC_GOAL
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
    18
  val init: cterm -> thm
18027
09ab79d4e8e1 renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents: 17986
diff changeset
    19
  val protect: thm -> thm
17980
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
    20
  val conclude: thm -> thm
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
    21
  val finish: thm -> thm
21604
1af327306c8e added norm/close_result (supercede local_standard etc.);
wenzelm
parents: 21579
diff changeset
    22
  val norm_result: thm -> thm
28446
a01de3b3fa2e renamed promise to future, tuned related interfaces;
wenzelm
parents: 28363
diff changeset
    23
  val future_result: Proof.context -> (unit -> thm) -> term -> thm
23356
dbe3731241c3 renamed prove_raw to prove_internal;
wenzelm
parents: 23237
diff changeset
    24
  val prove_internal: cterm list -> cterm -> (thm list -> tactic) -> thm
20290
3f886c176c9b normalized Proof.context/method type aliases;
wenzelm
parents: 20260
diff changeset
    25
  val prove_multi: Proof.context -> string list -> term list -> term list ->
3f886c176c9b normalized Proof.context/method type aliases;
wenzelm
parents: 20260
diff changeset
    26
    ({prems: thm list, context: Proof.context} -> tactic) -> thm list
28446
a01de3b3fa2e renamed promise to future, tuned related interfaces;
wenzelm
parents: 28363
diff changeset
    27
  val prove_future: Proof.context -> string list -> term list -> term ->
28340
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
    28
    ({prems: thm list, context: Proof.context} -> tactic) -> thm
20290
3f886c176c9b normalized Proof.context/method type aliases;
wenzelm
parents: 20260
diff changeset
    29
  val prove: Proof.context -> string list -> term list -> term ->
3f886c176c9b normalized Proof.context/method type aliases;
wenzelm
parents: 20260
diff changeset
    30
    ({prems: thm list, context: Proof.context} -> tactic) -> thm
26713
1c6181def1d0 prove_global: Variable.set_body true, pass context;
wenzelm
parents: 26628
diff changeset
    31
  val prove_global: theory -> string list -> term list -> term ->
1c6181def1d0 prove_global: Variable.set_body true, pass context;
wenzelm
parents: 26628
diff changeset
    32
    ({prems: thm list, context: Proof.context} -> tactic) -> thm
19184
3e30297e1300 added extract, retrofit;
wenzelm
parents: 18678
diff changeset
    33
  val extract: int -> int -> thm -> thm Seq.seq
3e30297e1300 added extract, retrofit;
wenzelm
parents: 18678
diff changeset
    34
  val retrofit: int -> int -> thm -> thm -> thm Seq.seq
23418
c195f6f13769 balanced conjunctions;
wenzelm
parents: 23414
diff changeset
    35
  val conjunction_tac: int -> tactic
23414
927203ad4b3a tuned conjunction tactics: slightly smaller proof terms;
wenzelm
parents: 23356
diff changeset
    36
  val precise_conjunction_tac: int -> int -> tactic
23418
c195f6f13769 balanced conjunctions;
wenzelm
parents: 23414
diff changeset
    37
  val recover_conjunction_tac: tactic
21687
f689f729afab reorganized structure Goal vs. Tactic;
wenzelm
parents: 21604
diff changeset
    38
  val norm_hhf_tac: int -> tactic
f689f729afab reorganized structure Goal vs. Tactic;
wenzelm
parents: 21604
diff changeset
    39
  val compose_hhf_tac: thm -> int -> tactic
23237
ac9d126456e1 added assume_rule_tac;
wenzelm
parents: 22902
diff changeset
    40
  val assume_rule_tac: Proof.context -> int -> tactic
17980
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
    41
end;
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
    42
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
    43
structure Goal: GOAL =
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
    44
struct
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
    45
18027
09ab79d4e8e1 renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents: 17986
diff changeset
    46
(** goals **)
09ab79d4e8e1 renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents: 17986
diff changeset
    47
09ab79d4e8e1 renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents: 17986
diff changeset
    48
(*
09ab79d4e8e1 renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents: 17986
diff changeset
    49
  -------- (init)
09ab79d4e8e1 renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents: 17986
diff changeset
    50
  C ==> #C
09ab79d4e8e1 renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents: 17986
diff changeset
    51
*)
20290
3f886c176c9b normalized Proof.context/method type aliases;
wenzelm
parents: 20260
diff changeset
    52
val init =
22902
ac833b4bb7ee moved some Drule operations to Thm (see more_thm.ML);
wenzelm
parents: 21687
diff changeset
    53
  let val A = #1 (Thm.dest_implies (Thm.cprop_of Drule.protectI))
20290
3f886c176c9b normalized Proof.context/method type aliases;
wenzelm
parents: 20260
diff changeset
    54
  in fn C => Thm.instantiate ([], [(A, C)]) Drule.protectI end;
17980
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
    55
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
    56
(*
18119
63901a9b99dc export compose_hhf;
wenzelm
parents: 18027
diff changeset
    57
   C
63901a9b99dc export compose_hhf;
wenzelm
parents: 18027
diff changeset
    58
  --- (protect)
63901a9b99dc export compose_hhf;
wenzelm
parents: 18027
diff changeset
    59
  #C
17980
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
    60
*)
21579
abd2b4386a63 COMP_INCR;
wenzelm
parents: 21516
diff changeset
    61
fun protect th = th COMP_INCR Drule.protectI;
17980
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
    62
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
    63
(*
18027
09ab79d4e8e1 renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents: 17986
diff changeset
    64
  A ==> ... ==> #C
09ab79d4e8e1 renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents: 17986
diff changeset
    65
  ---------------- (conclude)
17980
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
    66
  A ==> ... ==> C
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
    67
*)
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
    68
fun conclude th =
18497
7569674d7bb1 Thm.compose_no_flatten;
wenzelm
parents: 18484
diff changeset
    69
  (case SINGLE (Thm.compose_no_flatten false (th, Thm.nprems_of th) 1)
18027
09ab79d4e8e1 renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents: 17986
diff changeset
    70
      (Drule.incr_indexes th Drule.protectD) of
17980
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
    71
    SOME th' => th'
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
    72
  | NONE => raise THM ("Failed to conclude goal", 0, [th]));
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
    73
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
    74
(*
18027
09ab79d4e8e1 renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents: 17986
diff changeset
    75
  #C
09ab79d4e8e1 renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents: 17986
diff changeset
    76
  --- (finish)
09ab79d4e8e1 renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents: 17986
diff changeset
    77
   C
17983
wenzelm
parents: 17980
diff changeset
    78
*)
17980
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
    79
fun finish th =
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
    80
  (case Thm.nprems_of th of
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
    81
    0 => conclude th
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
    82
  | n => raise THM ("Proof failed.\n" ^
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
    83
      Pretty.string_of (Pretty.chunks (Display.pretty_goals n th)) ^
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
    84
      ("\n" ^ string_of_int n ^ " unsolved goal(s)!"), 0, [th]));
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
    85
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
    86
18027
09ab79d4e8e1 renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents: 17986
diff changeset
    87
09ab79d4e8e1 renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents: 17986
diff changeset
    88
(** results **)
09ab79d4e8e1 renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents: 17986
diff changeset
    89
28340
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
    90
(* normal form *)
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
    91
21604
1af327306c8e added norm/close_result (supercede local_standard etc.);
wenzelm
parents: 21579
diff changeset
    92
val norm_result =
1af327306c8e added norm/close_result (supercede local_standard etc.);
wenzelm
parents: 21579
diff changeset
    93
  Drule.flexflex_unique
1af327306c8e added norm/close_result (supercede local_standard etc.);
wenzelm
parents: 21579
diff changeset
    94
  #> MetaSimplifier.norm_hhf_protect
1af327306c8e added norm/close_result (supercede local_standard etc.);
wenzelm
parents: 21579
diff changeset
    95
  #> Thm.strip_shyps
1af327306c8e added norm/close_result (supercede local_standard etc.);
wenzelm
parents: 21579
diff changeset
    96
  #> Drule.zero_var_indexes;
1af327306c8e added norm/close_result (supercede local_standard etc.);
wenzelm
parents: 21579
diff changeset
    97
1af327306c8e added norm/close_result (supercede local_standard etc.);
wenzelm
parents: 21579
diff changeset
    98
28446
a01de3b3fa2e renamed promise to future, tuned related interfaces;
wenzelm
parents: 28363
diff changeset
    99
(* future_result *)
28340
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   100
28446
a01de3b3fa2e renamed promise to future, tuned related interfaces;
wenzelm
parents: 28363
diff changeset
   101
fun future_result ctxt result prop =
28340
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   102
  let
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   103
    val thy = ProofContext.theory_of ctxt;
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   104
    val _ = Context.reject_draft thy;
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   105
    val cert = Thm.cterm_of thy;
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   106
    val certT = Thm.ctyp_of thy;
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   107
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   108
    val assms = Assumption.assms_of ctxt;
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   109
    val As = map Thm.term_of assms;
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   110
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   111
    val xs = map Free (fold Term.add_frees (prop :: As) []);
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   112
    val fixes = map cert xs;
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   113
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   114
    val tfrees = fold Term.add_tfrees (prop :: As) [];
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   115
    val instT = map (fn (a, S) => (certT (TVar ((a, 0), S)), certT (TFree (a, S)))) tfrees;
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   116
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   117
    val global_prop =
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   118
      Term.map_types Logic.varifyT (fold_rev Logic.all xs (Logic.list_implies (As, prop)));
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   119
    val global_result =
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   120
      Thm.generalize (map #1 tfrees, []) 0 o
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   121
      Drule.forall_intr_list fixes o
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   122
      Drule.implies_intr_list assms o
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   123
      Thm.adjust_maxidx_thm ~1 o result;
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   124
    val local_result =
28446
a01de3b3fa2e renamed promise to future, tuned related interfaces;
wenzelm
parents: 28363
diff changeset
   125
      Thm.future global_result (cert global_prop)
28340
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   126
      |> Thm.instantiate (instT, [])
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   127
      |> Drule.forall_elim_list fixes
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   128
      |> fold (Thm.elim_implies o Thm.assume) assms;
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   129
  in local_result end;
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   130
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   131
18027
09ab79d4e8e1 renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents: 17986
diff changeset
   132
09ab79d4e8e1 renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents: 17986
diff changeset
   133
(** tactical theorem proving **)
09ab79d4e8e1 renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents: 17986
diff changeset
   134
23356
dbe3731241c3 renamed prove_raw to prove_internal;
wenzelm
parents: 23237
diff changeset
   135
(* prove_internal -- minimal checks, no normalization of result! *)
20250
c3f209752749 prove: proper assumption context, more tactic arguments;
wenzelm
parents: 20228
diff changeset
   136
23356
dbe3731241c3 renamed prove_raw to prove_internal;
wenzelm
parents: 23237
diff changeset
   137
fun prove_internal casms cprop tac =
20250
c3f209752749 prove: proper assumption context, more tactic arguments;
wenzelm
parents: 20228
diff changeset
   138
  (case SINGLE (tac (map Assumption.assume casms)) (init cprop) of
c3f209752749 prove: proper assumption context, more tactic arguments;
wenzelm
parents: 20228
diff changeset
   139
    SOME th => Drule.implies_intr_list casms (finish th)
c3f209752749 prove: proper assumption context, more tactic arguments;
wenzelm
parents: 20228
diff changeset
   140
  | NONE => error "Tactic failed.");
c3f209752749 prove: proper assumption context, more tactic arguments;
wenzelm
parents: 20228
diff changeset
   141
c3f209752749 prove: proper assumption context, more tactic arguments;
wenzelm
parents: 20228
diff changeset
   142
28340
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   143
(* prove_common etc. *)
17986
0450847646c3 prove_raw: cterms, explicit asms;
wenzelm
parents: 17983
diff changeset
   144
28340
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   145
fun prove_common immediate ctxt xs asms props tac =
17980
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
   146
  let
21516
c2a116a2c4fd ProofContext.init;
wenzelm
parents: 20290
diff changeset
   147
    val thy = ProofContext.theory_of ctxt;
26939
1035c89b4c02 moved global pretty/string_of functions from Sign to Syntax;
wenzelm
parents: 26713
diff changeset
   148
    val string_of_term = Syntax.string_of_term ctxt;
20056
0698a403a066 prove/prove_multi: context;
wenzelm
parents: 19862
diff changeset
   149
28355
b9d9360e2440 prove: error with original thread position;
wenzelm
parents: 28341
diff changeset
   150
    val pos = Position.thread_data ();
20250
c3f209752749 prove: proper assumption context, more tactic arguments;
wenzelm
parents: 20228
diff changeset
   151
    fun err msg = cat_error msg
c3f209752749 prove: proper assumption context, more tactic arguments;
wenzelm
parents: 20228
diff changeset
   152
      ("The error(s) above occurred for the goal statement:\n" ^
28355
b9d9360e2440 prove: error with original thread position;
wenzelm
parents: 28341
diff changeset
   153
        string_of_term (Logic.list_implies (asms, Logic.mk_conjunction_list props)) ^
b9d9360e2440 prove: error with original thread position;
wenzelm
parents: 28341
diff changeset
   154
        (case Position.str_of pos of "" => "" | s => "\n" ^ s));
17980
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
   155
20250
c3f209752749 prove: proper assumption context, more tactic arguments;
wenzelm
parents: 20228
diff changeset
   156
    fun cert_safe t = Thm.cterm_of thy (Envir.beta_norm (Term.no_dummy_patterns t))
17980
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
   157
      handle TERM (msg, _) => err msg | TYPE (msg, _, _) => err msg;
20250
c3f209752749 prove: proper assumption context, more tactic arguments;
wenzelm
parents: 20228
diff changeset
   158
    val casms = map cert_safe asms;
c3f209752749 prove: proper assumption context, more tactic arguments;
wenzelm
parents: 20228
diff changeset
   159
    val cprops = map cert_safe props;
17980
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
   160
20250
c3f209752749 prove: proper assumption context, more tactic arguments;
wenzelm
parents: 20228
diff changeset
   161
    val (prems, ctxt') = ctxt
c3f209752749 prove: proper assumption context, more tactic arguments;
wenzelm
parents: 20228
diff changeset
   162
      |> Variable.add_fixes_direct xs
27218
4548c83cd508 prove: full Variable.declare_term, including constraints;
wenzelm
parents: 26939
diff changeset
   163
      |> fold Variable.declare_term (asms @ props)
26713
1c6181def1d0 prove_global: Variable.set_body true, pass context;
wenzelm
parents: 26628
diff changeset
   164
      |> Assumption.add_assumes casms
1c6181def1d0 prove_global: Variable.set_body true, pass context;
wenzelm
parents: 26628
diff changeset
   165
      ||> Variable.set_body true;
28619
89f9dd800a22 prove_common: include all sorts from context into statement, check shyps of result;
wenzelm
parents: 28446
diff changeset
   166
    val sorts = Variable.sorts_of ctxt';
17980
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
   167
28619
89f9dd800a22 prove_common: include all sorts from context into statement, check shyps of result;
wenzelm
parents: 28446
diff changeset
   168
    val stmt = Thm.weaken_sorts sorts (Conjunction.mk_conjunction_balanced cprops);
28340
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   169
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   170
    fun result () =
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   171
      (case SINGLE (tac {prems = prems, context = ctxt'}) (init stmt) of
19774
5fe7731d0836 allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents: 19619
diff changeset
   172
        NONE => err "Tactic failed."
28340
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   173
      | SOME st =>
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   174
          let val res = finish st handle THM (msg, _, _) => err msg in
28619
89f9dd800a22 prove_common: include all sorts from context into statement, check shyps of result;
wenzelm
parents: 28446
diff changeset
   175
            if Unify.matches_list thy [Thm.term_of stmt] [Thm.prop_of res]
89f9dd800a22 prove_common: include all sorts from context into statement, check shyps of result;
wenzelm
parents: 28446
diff changeset
   176
            then Thm.check_shyps sorts res
28340
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   177
            else err ("Proved a different theorem: " ^ string_of_term (Thm.prop_of res))
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   178
          end);
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   179
    val res =
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   180
      if immediate orelse #maxidx (Thm.rep_cterm stmt) >= 0 then result ()
28446
a01de3b3fa2e renamed promise to future, tuned related interfaces;
wenzelm
parents: 28363
diff changeset
   181
      else future_result ctxt' result (Thm.term_of stmt);
17980
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
   182
  in
28340
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   183
    Conjunction.elim_balanced (length props) res
20290
3f886c176c9b normalized Proof.context/method type aliases;
wenzelm
parents: 20260
diff changeset
   184
    |> map (Assumption.export false ctxt' ctxt)
20056
0698a403a066 prove/prove_multi: context;
wenzelm
parents: 19862
diff changeset
   185
    |> Variable.export ctxt' ctxt
20250
c3f209752749 prove: proper assumption context, more tactic arguments;
wenzelm
parents: 20228
diff changeset
   186
    |> map Drule.zero_var_indexes
17980
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
   187
  end;
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
   188
28341
383f512314b9 prove_multi: immediate;
wenzelm
parents: 28340
diff changeset
   189
val prove_multi = prove_common true;
17980
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
   190
28446
a01de3b3fa2e renamed promise to future, tuned related interfaces;
wenzelm
parents: 28363
diff changeset
   191
fun prove_future ctxt xs asms prop tac = hd (prove_common false ctxt xs asms [prop] tac);
28340
e8597242f649 added promise_result, prove_promise;
wenzelm
parents: 27218
diff changeset
   192
fun prove ctxt xs asms prop tac = hd (prove_common true ctxt xs asms [prop] tac);
20056
0698a403a066 prove/prove_multi: context;
wenzelm
parents: 19862
diff changeset
   193
0698a403a066 prove/prove_multi: context;
wenzelm
parents: 19862
diff changeset
   194
fun prove_global thy xs asms prop tac =
26713
1c6181def1d0 prove_global: Variable.set_body true, pass context;
wenzelm
parents: 26628
diff changeset
   195
  Drule.standard (prove (ProofContext.init thy) xs asms prop tac);
18027
09ab79d4e8e1 renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents: 17986
diff changeset
   196
09ab79d4e8e1 renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents: 17986
diff changeset
   197
17980
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
   198
21687
f689f729afab reorganized structure Goal vs. Tactic;
wenzelm
parents: 21604
diff changeset
   199
(** goal structure **)
f689f729afab reorganized structure Goal vs. Tactic;
wenzelm
parents: 21604
diff changeset
   200
f689f729afab reorganized structure Goal vs. Tactic;
wenzelm
parents: 21604
diff changeset
   201
(* nested goals *)
18207
9edbeda7e39a tuned norm_hhf_protected;
wenzelm
parents: 18180
diff changeset
   202
19184
3e30297e1300 added extract, retrofit;
wenzelm
parents: 18678
diff changeset
   203
fun extract i n st =
3e30297e1300 added extract, retrofit;
wenzelm
parents: 18678
diff changeset
   204
  (if i < 1 orelse n < 1 orelse i + n - 1 > Thm.nprems_of st then Seq.empty
3e30297e1300 added extract, retrofit;
wenzelm
parents: 18678
diff changeset
   205
   else if n = 1 then Seq.single (Thm.cprem_of st i)
23418
c195f6f13769 balanced conjunctions;
wenzelm
parents: 23414
diff changeset
   206
   else
c195f6f13769 balanced conjunctions;
wenzelm
parents: 23414
diff changeset
   207
     Seq.single (Conjunction.mk_conjunction_balanced (map (Thm.cprem_of st) (i upto i + n - 1))))
20260
990dbc007ca6 Thm.adjust_maxidx;
wenzelm
parents: 20250
diff changeset
   208
  |> Seq.map (Thm.adjust_maxidx_cterm ~1 #> init);
17980
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
   209
19221
wenzelm
parents: 19191
diff changeset
   210
fun retrofit i n st' st =
wenzelm
parents: 19191
diff changeset
   211
  (if n = 1 then st
23418
c195f6f13769 balanced conjunctions;
wenzelm
parents: 23414
diff changeset
   212
   else st |> Drule.with_subgoal i (Conjunction.uncurry_balanced n))
19221
wenzelm
parents: 19191
diff changeset
   213
  |> Thm.compose_no_flatten false (conclude st', Thm.nprems_of st') i;
18207
9edbeda7e39a tuned norm_hhf_protected;
wenzelm
parents: 18180
diff changeset
   214
17980
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
   215
fun SELECT_GOAL tac i st =
19191
56cda3ec2ef8 SELECT_GOAL: fixed trivial case;
wenzelm
parents: 19184
diff changeset
   216
  if Thm.nprems_of st = 1 andalso i = 1 then tac st
19184
3e30297e1300 added extract, retrofit;
wenzelm
parents: 18678
diff changeset
   217
  else Seq.lifts (retrofit i 1) (Seq.maps tac (extract i 1 st)) st;
17980
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
   218
21687
f689f729afab reorganized structure Goal vs. Tactic;
wenzelm
parents: 21604
diff changeset
   219
f689f729afab reorganized structure Goal vs. Tactic;
wenzelm
parents: 21604
diff changeset
   220
(* multiple goals *)
f689f729afab reorganized structure Goal vs. Tactic;
wenzelm
parents: 21604
diff changeset
   221
23418
c195f6f13769 balanced conjunctions;
wenzelm
parents: 23414
diff changeset
   222
fun precise_conjunction_tac 0 i = eq_assume_tac i
c195f6f13769 balanced conjunctions;
wenzelm
parents: 23414
diff changeset
   223
  | precise_conjunction_tac 1 i = SUBGOAL (K all_tac) i
c195f6f13769 balanced conjunctions;
wenzelm
parents: 23414
diff changeset
   224
  | precise_conjunction_tac n i = PRIMITIVE (Drule.with_subgoal i (Conjunction.curry_balanced n));
23414
927203ad4b3a tuned conjunction tactics: slightly smaller proof terms;
wenzelm
parents: 23356
diff changeset
   225
23418
c195f6f13769 balanced conjunctions;
wenzelm
parents: 23414
diff changeset
   226
val adhoc_conjunction_tac = REPEAT_ALL_NEW
c195f6f13769 balanced conjunctions;
wenzelm
parents: 23414
diff changeset
   227
  (SUBGOAL (fn (goal, i) =>
c195f6f13769 balanced conjunctions;
wenzelm
parents: 23414
diff changeset
   228
    if can Logic.dest_conjunction goal then rtac Conjunction.conjunctionI i
c195f6f13769 balanced conjunctions;
wenzelm
parents: 23414
diff changeset
   229
    else no_tac));
21687
f689f729afab reorganized structure Goal vs. Tactic;
wenzelm
parents: 21604
diff changeset
   230
23418
c195f6f13769 balanced conjunctions;
wenzelm
parents: 23414
diff changeset
   231
val conjunction_tac = SUBGOAL (fn (goal, i) =>
c195f6f13769 balanced conjunctions;
wenzelm
parents: 23414
diff changeset
   232
  precise_conjunction_tac (length (Logic.dest_conjunctions goal)) i ORELSE
c195f6f13769 balanced conjunctions;
wenzelm
parents: 23414
diff changeset
   233
  TRY (adhoc_conjunction_tac i));
21687
f689f729afab reorganized structure Goal vs. Tactic;
wenzelm
parents: 21604
diff changeset
   234
23418
c195f6f13769 balanced conjunctions;
wenzelm
parents: 23414
diff changeset
   235
val recover_conjunction_tac = PRIMITIVE (fn th =>
c195f6f13769 balanced conjunctions;
wenzelm
parents: 23414
diff changeset
   236
  Conjunction.uncurry_balanced (Thm.nprems_of th) th);
23414
927203ad4b3a tuned conjunction tactics: slightly smaller proof terms;
wenzelm
parents: 23356
diff changeset
   237
927203ad4b3a tuned conjunction tactics: slightly smaller proof terms;
wenzelm
parents: 23356
diff changeset
   238
fun PRECISE_CONJUNCTS n tac =
927203ad4b3a tuned conjunction tactics: slightly smaller proof terms;
wenzelm
parents: 23356
diff changeset
   239
  SELECT_GOAL (precise_conjunction_tac n 1
927203ad4b3a tuned conjunction tactics: slightly smaller proof terms;
wenzelm
parents: 23356
diff changeset
   240
    THEN tac
23418
c195f6f13769 balanced conjunctions;
wenzelm
parents: 23414
diff changeset
   241
    THEN recover_conjunction_tac);
23414
927203ad4b3a tuned conjunction tactics: slightly smaller proof terms;
wenzelm
parents: 23356
diff changeset
   242
21687
f689f729afab reorganized structure Goal vs. Tactic;
wenzelm
parents: 21604
diff changeset
   243
fun CONJUNCTS tac =
f689f729afab reorganized structure Goal vs. Tactic;
wenzelm
parents: 21604
diff changeset
   244
  SELECT_GOAL (conjunction_tac 1
f689f729afab reorganized structure Goal vs. Tactic;
wenzelm
parents: 21604
diff changeset
   245
    THEN tac
23418
c195f6f13769 balanced conjunctions;
wenzelm
parents: 23414
diff changeset
   246
    THEN recover_conjunction_tac);
21687
f689f729afab reorganized structure Goal vs. Tactic;
wenzelm
parents: 21604
diff changeset
   247
f689f729afab reorganized structure Goal vs. Tactic;
wenzelm
parents: 21604
diff changeset
   248
f689f729afab reorganized structure Goal vs. Tactic;
wenzelm
parents: 21604
diff changeset
   249
(* hhf normal form *)
f689f729afab reorganized structure Goal vs. Tactic;
wenzelm
parents: 21604
diff changeset
   250
f689f729afab reorganized structure Goal vs. Tactic;
wenzelm
parents: 21604
diff changeset
   251
val norm_hhf_tac =
f689f729afab reorganized structure Goal vs. Tactic;
wenzelm
parents: 21604
diff changeset
   252
  rtac Drule.asm_rl  (*cheap approximation -- thanks to builtin Logic.flatten_params*)
f689f729afab reorganized structure Goal vs. Tactic;
wenzelm
parents: 21604
diff changeset
   253
  THEN' SUBGOAL (fn (t, i) =>
f689f729afab reorganized structure Goal vs. Tactic;
wenzelm
parents: 21604
diff changeset
   254
    if Drule.is_norm_hhf t then all_tac
28619
89f9dd800a22 prove_common: include all sorts from context into statement, check shyps of result;
wenzelm
parents: 28446
diff changeset
   255
    else MetaSimplifier.rewrite_goal_tac Drule.norm_hhf_eqs i);
21687
f689f729afab reorganized structure Goal vs. Tactic;
wenzelm
parents: 21604
diff changeset
   256
25301
24e027f55f45 removed unused compose_hhf, comp_hhf;
wenzelm
parents: 23536
diff changeset
   257
fun compose_hhf_tac th i st =
24e027f55f45 removed unused compose_hhf, comp_hhf;
wenzelm
parents: 23536
diff changeset
   258
  PRIMSEQ (Thm.bicompose false (false, Drule.lift_all (Thm.cprem_of st i) th, 0) i) st;
21687
f689f729afab reorganized structure Goal vs. Tactic;
wenzelm
parents: 21604
diff changeset
   259
23237
ac9d126456e1 added assume_rule_tac;
wenzelm
parents: 22902
diff changeset
   260
ac9d126456e1 added assume_rule_tac;
wenzelm
parents: 22902
diff changeset
   261
(* non-atomic goal assumptions *)
ac9d126456e1 added assume_rule_tac;
wenzelm
parents: 22902
diff changeset
   262
23356
dbe3731241c3 renamed prove_raw to prove_internal;
wenzelm
parents: 23237
diff changeset
   263
fun non_atomic (Const ("==>", _) $ _ $ _) = true
dbe3731241c3 renamed prove_raw to prove_internal;
wenzelm
parents: 23237
diff changeset
   264
  | non_atomic (Const ("all", _) $ _) = true
dbe3731241c3 renamed prove_raw to prove_internal;
wenzelm
parents: 23237
diff changeset
   265
  | non_atomic _ = false;
dbe3731241c3 renamed prove_raw to prove_internal;
wenzelm
parents: 23237
diff changeset
   266
23237
ac9d126456e1 added assume_rule_tac;
wenzelm
parents: 22902
diff changeset
   267
fun assume_rule_tac ctxt = norm_hhf_tac THEN' CSUBGOAL (fn (goal, i) =>
ac9d126456e1 added assume_rule_tac;
wenzelm
parents: 22902
diff changeset
   268
  let
ac9d126456e1 added assume_rule_tac;
wenzelm
parents: 22902
diff changeset
   269
    val ((_, goal'), ctxt') = Variable.focus goal ctxt;
ac9d126456e1 added assume_rule_tac;
wenzelm
parents: 22902
diff changeset
   270
    val goal'' = Drule.cterm_rule (singleton (Variable.export ctxt' ctxt)) goal';
23356
dbe3731241c3 renamed prove_raw to prove_internal;
wenzelm
parents: 23237
diff changeset
   271
    val Rs = filter (non_atomic o Thm.term_of) (Drule.strip_imp_prems goal'');
23237
ac9d126456e1 added assume_rule_tac;
wenzelm
parents: 22902
diff changeset
   272
    val tacs = Rs |> map (fn R =>
ac9d126456e1 added assume_rule_tac;
wenzelm
parents: 22902
diff changeset
   273
      Tactic.etac (MetaSimplifier.norm_hhf (Thm.trivial R)) THEN_ALL_NEW assume_tac);
ac9d126456e1 added assume_rule_tac;
wenzelm
parents: 22902
diff changeset
   274
  in fold_rev (curry op APPEND') tacs (K no_tac) i end);
ac9d126456e1 added assume_rule_tac;
wenzelm
parents: 22902
diff changeset
   275
18207
9edbeda7e39a tuned norm_hhf_protected;
wenzelm
parents: 18180
diff changeset
   276
end;
9edbeda7e39a tuned norm_hhf_protected;
wenzelm
parents: 18180
diff changeset
   277
17980
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
   278
structure BasicGoal: BASIC_GOAL = Goal;
788836292b1a Internal goals.
wenzelm
parents:
diff changeset
   279
open BasicGoal;