src/Pure/Isar/proof.ML
author wenzelm
Fri Aug 31 16:35:30 2012 +0200 (2012-08-31)
changeset 49042 01041f7bf9b4
parent 49013 1266b51f9bbc
child 49062 7e31dfd99ce7
permissions -rw-r--r--
more precise register_proofs for local goals;
tuned signature;
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(*  Title:      Pure/Isar/proof.ML
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    Author:     Markus Wenzel, TU Muenchen
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The Isar/VM proof language interpreter: maintains a structured flow of
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context elements, goals, refinements, and facts.
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*)
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signature PROOF =
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sig
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  type context = Proof.context
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  type method = Method.method
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  type state
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  val init: context -> state
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  val level: state -> int
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  val assert_bottom: bool -> state -> state
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  val context_of: state -> context
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  val theory_of: state -> theory
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  val map_context: (context -> context) -> state -> state
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  val map_context_result : (context -> 'a * context) -> state -> 'a * state
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  val map_contexts: (context -> context) -> state -> state
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  val propagate_ml_env: state -> state
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  val bind_terms: (indexname * term option) list -> state -> state
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  val put_thms: bool -> string * thm list option -> state -> state
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  val begin_proofs: state -> state
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  val register_proofs: thm list -> state -> state
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  val join_recent_proofs: state -> unit
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  val the_facts: state -> thm list
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  val the_fact: state -> thm
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  val set_facts: thm list -> state -> state
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  val reset_facts: state -> state
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  val assert_forward: state -> state
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  val assert_chain: state -> state
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  val assert_forward_or_chain: state -> state
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  val assert_backward: state -> state
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  val assert_no_chain: state -> state
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  val enter_forward: state -> state
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  val goal_message: (unit -> Pretty.T) -> state -> state
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  val pretty_state: int -> state -> Pretty.T list
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  val pretty_goals: bool -> state -> Pretty.T list
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  val refine: Method.text -> state -> state Seq.seq
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  val refine_end: Method.text -> state -> state Seq.seq
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  val refine_insert: thm list -> state -> state
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  val refine_goals: (context -> thm -> unit) -> context -> thm list -> state -> state Seq.seq
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  val raw_goal: state -> {context: context, facts: thm list, goal: thm}
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  val goal: state -> {context: context, facts: thm list, goal: thm}
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  val simple_goal: state -> {context: context, goal: thm}
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  val status_markup: state -> Markup.T
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  val let_bind: (term list * term) list -> state -> state
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  val let_bind_cmd: (string list * string) list -> state -> state
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  val write: Syntax.mode -> (term * mixfix) list -> state -> state
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  val write_cmd: Syntax.mode -> (string * mixfix) list -> state -> state
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  val fix: (binding * typ option * mixfix) list -> state -> state
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  val fix_cmd: (binding * string option * mixfix) list -> state -> state
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  val assm: Assumption.export ->
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    (Thm.binding * (term * term list) list) list -> state -> state
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  val assm_cmd: Assumption.export ->
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    (Attrib.binding * (string * string list) list) list -> state -> state
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  val assume: (Thm.binding * (term * term list) list) list -> state -> state
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  val assume_cmd: (Attrib.binding * (string * string list) list) list -> state -> state
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  val presume: (Thm.binding * (term * term list) list) list -> state -> state
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  val presume_cmd: (Attrib.binding * (string * string list) list) list -> state -> state
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  val def: (Thm.binding * ((binding * mixfix) * (term * term list))) list -> state -> state
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  val def_cmd: (Attrib.binding * ((binding * mixfix) * (string * string list))) list -> state -> state
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  val chain: state -> state
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  val chain_facts: thm list -> state -> state
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  val note_thmss: (Thm.binding * (thm list * attribute list) list) list -> state -> state
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  val note_thmss_cmd: (Attrib.binding * (Facts.ref * Attrib.src list) list) list -> state -> state
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  val from_thmss: ((thm list * attribute list) list) list -> state -> state
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  val from_thmss_cmd: ((Facts.ref * Attrib.src list) list) list -> state -> state
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  val with_thmss: ((thm list * attribute list) list) list -> state -> state
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  val with_thmss_cmd: ((Facts.ref * Attrib.src list) list) list -> state -> state
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  val using: ((thm list * attribute list) list) list -> state -> state
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  val using_cmd: ((Facts.ref * Attrib.src list) list) list -> state -> state
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  val unfolding: ((thm list * attribute list) list) list -> state -> state
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  val unfolding_cmd: ((Facts.ref * Attrib.src list) list) list -> state -> state
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  val invoke_case: string * binding option list * attribute list -> state -> state
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  val invoke_case_cmd: string * binding option list * Attrib.src list -> state -> state
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  val begin_block: state -> state
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  val next_block: state -> state
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  val end_block: state -> state
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  val begin_notepad: context -> state
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  val end_notepad: state -> context
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  val proof: Method.text option -> state -> state Seq.seq
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  val defer: int option -> state -> state Seq.seq
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  val prefer: int -> state -> state Seq.seq
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  val apply: Method.text -> state -> state Seq.seq
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  val apply_end: Method.text -> state -> state Seq.seq
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  val local_goal: (context -> ((string * string) * (string * thm list) list) -> unit) ->
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    (context -> 'a -> attribute) ->
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    ('b list -> context -> (term list list * (context -> context)) * context) ->
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    string -> Method.text option -> (thm list list -> state -> state) ->
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    ((binding * 'a list) * 'b) list -> state -> state
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  val local_qed: Method.text option * bool -> state -> state
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  val theorem: Method.text option -> (thm list list -> context -> context) ->
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    (term * term list) list list -> context -> state
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  val theorem_cmd: Method.text option -> (thm list list -> context -> context) ->
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    (string * string list) list list -> context -> state
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  val global_qed: Method.text option * bool -> state -> context
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  val local_terminal_proof: Method.text * Method.text option -> state -> state
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  val local_default_proof: state -> state
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  val local_immediate_proof: state -> state
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  val local_skip_proof: bool -> state -> state
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  val local_done_proof: state -> state
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  val global_terminal_proof: Method.text * Method.text option -> state -> context
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  val global_default_proof: state -> context
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  val global_immediate_proof: state -> context
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  val global_skip_proof: bool -> state -> context
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  val global_done_proof: state -> context
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  val have: Method.text option -> (thm list list -> state -> state) ->
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    (Thm.binding * (term * term list) list) list -> bool -> state -> state
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  val have_cmd: Method.text option -> (thm list list -> state -> state) ->
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    (Attrib.binding * (string * string list) list) list -> bool -> state -> state
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  val show: Method.text option -> (thm list list -> state -> state) ->
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    (Thm.binding * (term * term list) list) list -> bool -> state -> state
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  val show_cmd: Method.text option -> (thm list list -> state -> state) ->
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    (Attrib.binding * (string * string list) list) list -> bool -> state -> state
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  val schematic_goal: state -> bool
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  val local_future_proof: (state -> ('a * state) future) -> state -> 'a future * state
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  val global_future_proof: (state -> ('a * context) future) -> state -> 'a future * context
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  val local_future_terminal_proof: Method.text * Method.text option -> bool -> state -> state
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  val global_future_terminal_proof: Method.text * Method.text option -> bool -> state -> context
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end;
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structure Proof: PROOF =
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struct
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type context = Proof.context;
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type method = Method.method;
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(** proof state **)
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(* datatype state *)
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datatype mode = Forward | Chain | Backward;
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datatype state =
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  State of node Stack.T
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and node =
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  Node of
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   {context: context,
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    facts: thm list option,
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    mode: mode,
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    goal: goal option}
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and goal =
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  Goal of
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   {statement: (string * Position.T) * term list list * term,
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      (*goal kind and statement (starting with vars), initial proposition*)
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    messages: (unit -> Pretty.T) list,    (*persistent messages (hints etc.)*)
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    using: thm list,                      (*goal facts*)
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    goal: thm,                            (*subgoals ==> statement*)
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    before_qed: Method.text option,
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    after_qed:
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      (thm list list -> state -> state) *
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      (thm list list -> context -> context)};
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fun make_goal (statement, messages, using, goal, before_qed, after_qed) =
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  Goal {statement = statement, messages = messages, using = using, goal = goal,
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    before_qed = before_qed, after_qed = after_qed};
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fun make_node (context, facts, mode, goal) =
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  Node {context = context, facts = facts, mode = mode, goal = goal};
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fun map_node f (Node {context, facts, mode, goal}) =
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  make_node (f (context, facts, mode, goal));
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val init_context =
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  Proof_Context.set_stmt true #>
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  Proof_Context.map_naming (K Name_Space.local_naming);
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fun init ctxt =
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  State (Stack.init (make_node (init_context ctxt, NONE, Forward, NONE)));
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fun top (State st) = Stack.top st |> (fn Node node => node);
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fun bottom (State st) = Stack.bottom st |> (fn Node node => node);
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fun map_top f (State st) = State (Stack.map_top (map_node f) st);
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fun map_bottom f (State st) = State (Stack.map_bottom (map_node f) st);
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fun map_all f (State st) = State (Stack.map_all (map_node f) st);
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(** basic proof state operations **)
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(* block structure *)
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fun open_block (State st) = State (Stack.push st);
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fun close_block (State st) = State (Stack.pop st)
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  handle List.Empty => error "Unbalanced block parentheses";
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fun level (State st) = Stack.level st;
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fun assert_bottom b state =
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  let val b' = level state <= 2 in
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    if b andalso not b' then error "Not at bottom of proof"
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    else if not b andalso b' then error "Already at bottom of proof"
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    else state
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  end;
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(* context *)
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val context_of = #context o top;
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val theory_of = Proof_Context.theory_of o context_of;
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fun map_node_context f =
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  map_node (fn (ctxt, facts, mode, goal) => (f ctxt, facts, mode, goal));
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fun map_context f =
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  map_top (fn (ctxt, facts, mode, goal) => (f ctxt, facts, mode, goal));
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fun map_context_result f state =
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  f (context_of state) ||> (fn ctxt => map_context (K ctxt) state);
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fun map_context_bottom f =
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  map_bottom (fn (ctxt, facts, mode, goal) => (f ctxt, facts, mode, goal));
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fun map_contexts f = map_all (fn (ctxt, facts, mode, goal) => (f ctxt, facts, mode, goal));
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fun propagate_ml_env state = map_contexts
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  (Context.proof_map (ML_Env.inherit (Context.Proof (context_of state)))) state;
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val bind_terms = map_context o Proof_Context.bind_terms;
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val put_thms = map_context oo Proof_Context.put_thms;
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(* forked proofs *)
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val begin_proofs = map_context_bottom (Context.proof_map Thm.begin_proofs);
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val register_proofs = map_context_bottom o Context.proof_map o Thm.register_proofs;
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val join_recent_proofs = Thm.join_local_proofs o #context o bottom;
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(* facts *)
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val get_facts = #facts o top;
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fun the_facts state =
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  (case get_facts state of SOME facts => facts
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  | NONE => error "No current facts available");
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fun the_fact state =
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  (case the_facts state of [thm] => thm
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  | _ => error "Single theorem expected");
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fun put_facts facts =
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  map_top (fn (ctxt, _, mode, goal) => (ctxt, facts, mode, goal)) #>
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  put_thms true (Auto_Bind.thisN, facts);
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val set_facts = put_facts o SOME;
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val reset_facts = put_facts NONE;
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fun these_factss more_facts (named_factss, state) =
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  (named_factss, state |> set_facts (maps snd named_factss @ more_facts));
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fun export_facts inner outer =
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  (case get_facts inner of
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    NONE => reset_facts outer
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  | SOME thms =>
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      thms
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      |> Proof_Context.export (context_of inner) (context_of outer)
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      |> (fn ths => set_facts ths outer));
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(* mode *)
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val get_mode = #mode o top;
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fun put_mode mode = map_top (fn (ctxt, facts, _, goal) => (ctxt, facts, mode, goal));
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val mode_name = (fn Forward => "state" | Chain => "chain" | Backward => "prove");
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fun assert_mode pred state =
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  let val mode = get_mode state in
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    if pred mode then state
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    else error ("Illegal application of proof command in " ^ quote (mode_name mode) ^ " mode")
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  end;
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val assert_forward = assert_mode (fn mode => mode = Forward);
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val assert_chain = assert_mode (fn mode => mode = Chain);
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val assert_forward_or_chain = assert_mode (fn mode => mode = Forward orelse mode = Chain);
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val assert_backward = assert_mode (fn mode => mode = Backward);
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val assert_no_chain = assert_mode (fn mode => mode <> Chain);
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val enter_forward = put_mode Forward;
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val enter_chain = put_mode Chain;
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val enter_backward = put_mode Backward;
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(* current goal *)
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fun current_goal state =
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  (case top state of
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    {context, goal = SOME (Goal goal), ...} => (context, goal)
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  | _ => error "No current goal");
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fun assert_current_goal g state =
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  let val g' = can current_goal state in
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    if g andalso not g' then error "No goal in this block"
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    else if not g andalso g' then error "Goal present in this block"
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    else state
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  end;
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fun put_goal goal = map_top (fn (ctxt, using, mode, _) => (ctxt, using, mode, goal));
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val set_goal = put_goal o SOME;
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val reset_goal = put_goal NONE;
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val before_qed = #before_qed o #2 o current_goal;
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(* nested goal *)
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fun map_goal f g h (State (Node {context, facts, mode, goal = SOME goal}, node :: nodes)) =
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      let
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        val Goal {statement, messages, using, goal, before_qed, after_qed} = goal;
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        val goal' = make_goal (g (statement, messages, using, goal, before_qed, after_qed));
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        val node' = map_node_context h node;
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      in State (make_node (f context, facts, mode, SOME goal'), node' :: nodes) end
wenzelm@47431
   321
  | map_goal f g h (State (nd, node :: nodes)) =
wenzelm@47431
   322
      let
wenzelm@47431
   323
        val nd' = map_node_context f nd;
wenzelm@47431
   324
        val State (node', nodes') = map_goal f g h (State (node, nodes));
wenzelm@47431
   325
      in State (nd', node' :: nodes') end
wenzelm@47431
   326
  | map_goal _ _ _ state = state;
wenzelm@5820
   327
wenzelm@47068
   328
fun provide_goal goal = map_goal I (fn (statement, _, using, _, before_qed, after_qed) =>
wenzelm@47431
   329
  (statement, [], using, goal, before_qed, after_qed)) I;
wenzelm@19188
   330
wenzelm@24543
   331
fun goal_message msg = map_goal I (fn (statement, messages, using, goal, before_qed, after_qed) =>
wenzelm@47431
   332
  (statement, msg :: messages, using, goal, before_qed, after_qed)) I;
wenzelm@24543
   333
wenzelm@24556
   334
fun using_facts using = map_goal I (fn (statement, _, _, goal, before_qed, after_qed) =>
wenzelm@47431
   335
  (statement, [], using, goal, before_qed, after_qed)) I;
wenzelm@17359
   336
wenzelm@17359
   337
local
wenzelm@17359
   338
  fun find i state =
wenzelm@17359
   339
    (case try current_goal state of
wenzelm@17359
   340
      SOME (ctxt, goal) => (ctxt, (i, goal))
wenzelm@18678
   341
    | NONE => find (i + 1) (close_block state handle ERROR _ => error "No goal present"));
wenzelm@17359
   342
in val find_goal = find 0 end;
wenzelm@17359
   343
wenzelm@17359
   344
fun get_goal state =
wenzelm@17359
   345
  let val (ctxt, (_, {using, goal, ...})) = find_goal state
wenzelm@17359
   346
  in (ctxt, (using, goal)) end;
wenzelm@5820
   347
wenzelm@5820
   348
wenzelm@5820
   349
wenzelm@12423
   350
(** pretty_state **)
wenzelm@5820
   351
skalberg@15531
   352
fun pretty_facts _ _ NONE = []
skalberg@15531
   353
  | pretty_facts s ctxt (SOME ths) =
wenzelm@32091
   354
      [Pretty.big_list (s ^ "this:") (map (Display.pretty_thm ctxt) ths), Pretty.str ""];
wenzelm@6756
   355
wenzelm@17359
   356
fun pretty_state nr state =
wenzelm@5820
   357
  let
wenzelm@49011
   358
    val {context = ctxt, facts, mode, goal = _} = top state;
wenzelm@42717
   359
    val verbose = Config.get ctxt Proof_Context.verbose;
wenzelm@5820
   360
wenzelm@5820
   361
    fun levels_up 0 = ""
wenzelm@17359
   362
      | levels_up 1 = "1 level up"
wenzelm@17359
   363
      | levels_up i = string_of_int i ^ " levels up";
wenzelm@5820
   364
wenzelm@11556
   365
    fun subgoals 0 = ""
wenzelm@17359
   366
      | subgoals 1 = "1 subgoal"
wenzelm@17359
   367
      | subgoals n = string_of_int n ^ " subgoals";
wenzelm@17359
   368
wenzelm@17359
   369
    fun description strs =
wenzelm@28375
   370
      (case filter_out (fn s => s = "") strs of [] => ""
wenzelm@17359
   371
      | strs' => enclose " (" ")" (commas strs'));
wenzelm@12146
   372
wenzelm@39051
   373
    fun prt_goal (SOME (_, (i,
wenzelm@29416
   374
      {statement = ((_, pos), _, _), messages, using, goal, before_qed = _, after_qed = _}))) =
wenzelm@17359
   375
          pretty_facts "using " ctxt
wenzelm@17359
   376
            (if mode <> Backward orelse null using then NONE else SOME using) @
wenzelm@21442
   377
          [Pretty.str ("goal" ^
wenzelm@21442
   378
            description [levels_up (i div 2), subgoals (Thm.nprems_of goal)] ^ ":")] @
wenzelm@39125
   379
          Goal_Display.pretty_goals ctxt goal @
wenzelm@25958
   380
          (map (fn msg => Position.setmp_thread_data pos msg ()) (rev messages))
wenzelm@17359
   381
      | prt_goal NONE = [];
wenzelm@6848
   382
wenzelm@17359
   383
    val prt_ctxt =
wenzelm@42717
   384
      if verbose orelse mode = Forward then Proof_Context.pretty_context ctxt
wenzelm@42360
   385
      else if mode = Backward then Proof_Context.pretty_ctxt ctxt
wenzelm@7575
   386
      else [];
wenzelm@17359
   387
  in
wenzelm@17359
   388
    [Pretty.str ("proof (" ^ mode_name mode ^ "): step " ^ string_of_int nr ^
wenzelm@42717
   389
      (if verbose then ", depth " ^ string_of_int (level state div 2 - 1) else "")),
wenzelm@17359
   390
      Pretty.str ""] @
wenzelm@17359
   391
    (if null prt_ctxt then [] else prt_ctxt @ [Pretty.str ""]) @
wenzelm@42717
   392
    (if verbose orelse mode = Forward then
wenzelm@39051
   393
       pretty_facts "" ctxt facts @ prt_goal (try find_goal state)
wenzelm@39051
   394
     else if mode = Chain then pretty_facts "picking " ctxt facts
wenzelm@17359
   395
     else prt_goal (try find_goal state))
wenzelm@17359
   396
  end;
wenzelm@5820
   397
wenzelm@12085
   398
fun pretty_goals main state =
wenzelm@39125
   399
  let
wenzelm@39129
   400
    val (_, (_, goal)) = get_goal state;
wenzelm@39129
   401
    val ctxt = context_of state
wenzelm@39125
   402
      |> Config.put Goal_Display.show_main_goal main
wenzelm@39125
   403
      |> Config.put Goal_Display.goals_total false;
wenzelm@39129
   404
  in Goal_Display.pretty_goals ctxt goal end;
wenzelm@10320
   405
wenzelm@5820
   406
wenzelm@5820
   407
wenzelm@5820
   408
(** proof steps **)
wenzelm@5820
   409
wenzelm@17359
   410
(* refine via method *)
wenzelm@5820
   411
wenzelm@8234
   412
local
wenzelm@8234
   413
wenzelm@16146
   414
fun goalN i = "goal" ^ string_of_int i;
wenzelm@16146
   415
fun goals st = map goalN (1 upto Thm.nprems_of st);
wenzelm@16146
   416
wenzelm@16146
   417
fun no_goal_cases st = map (rpair NONE) (goals st);
wenzelm@16146
   418
wenzelm@16146
   419
fun goal_cases st =
wenzelm@47815
   420
  Rule_Cases.make_common
wenzelm@47815
   421
    (Thm.theory_of_thm st, Thm.prop_of st) (map (rpair [] o rpair []) (goals st));
wenzelm@16146
   422
wenzelm@32193
   423
fun apply_method current_context meth state =
wenzelm@6848
   424
  let
wenzelm@24556
   425
    val (goal_ctxt, (_, {statement, messages = _, using, goal, before_qed, after_qed})) =
wenzelm@24543
   426
      find_goal state;
wenzelm@25958
   427
    val ctxt = if current_context then context_of state else goal_ctxt;
wenzelm@16146
   428
  in
wenzelm@32193
   429
    Method.apply meth ctxt using goal |> Seq.map (fn (meth_cases, goal') =>
wenzelm@6848
   430
      state
wenzelm@16146
   431
      |> map_goal
wenzelm@42360
   432
          (Proof_Context.add_cases false (no_goal_cases goal @ goal_cases goal') #>
wenzelm@42360
   433
           Proof_Context.add_cases true meth_cases)
wenzelm@47431
   434
          (K (statement, [], using, goal', before_qed, after_qed)) I)
wenzelm@16146
   435
  end;
wenzelm@5820
   436
wenzelm@19188
   437
fun select_goals n meth state =
wenzelm@19224
   438
  state
wenzelm@19224
   439
  |> (#2 o #2 o get_goal)
wenzelm@21687
   440
  |> ALLGOALS Goal.conjunction_tac
wenzelm@19224
   441
  |> Seq.maps (fn goal =>
wenzelm@19188
   442
    state
wenzelm@47068
   443
    |> Seq.lift provide_goal (Goal.extract 1 n goal |> Seq.maps (Goal.conjunction_tac 1))
wenzelm@19188
   444
    |> Seq.maps meth
wenzelm@19188
   445
    |> Seq.maps (fn state' => state'
wenzelm@47068
   446
      |> Seq.lift provide_goal (Goal.retrofit 1 n (#2 (#2 (get_goal state'))) goal))
wenzelm@32193
   447
    |> Seq.maps (apply_method true (K Method.succeed)));
wenzelm@19188
   448
wenzelm@17112
   449
fun apply_text cc text state =
wenzelm@17112
   450
  let
wenzelm@17112
   451
    val thy = theory_of state;
wenzelm@17112
   452
wenzelm@32193
   453
    fun eval (Method.Basic m) = apply_method cc m
wenzelm@32193
   454
      | eval (Method.Source src) = apply_method cc (Method.method thy src)
wenzelm@32193
   455
      | eval (Method.Source_i src) = apply_method cc (Method.method_i thy src)
wenzelm@17112
   456
      | eval (Method.Then txts) = Seq.EVERY (map eval txts)
wenzelm@17112
   457
      | eval (Method.Orelse txts) = Seq.FIRST (map eval txts)
wenzelm@17112
   458
      | eval (Method.Try txt) = Seq.TRY (eval txt)
wenzelm@19188
   459
      | eval (Method.Repeat1 txt) = Seq.REPEAT1 (eval txt)
wenzelm@19188
   460
      | eval (Method.SelectGoals (n, txt)) = select_goals n (eval txt);
wenzelm@17112
   461
  in eval text state end;
wenzelm@17112
   462
wenzelm@8234
   463
in
wenzelm@8234
   464
wenzelm@17112
   465
val refine = apply_text true;
wenzelm@17112
   466
val refine_end = apply_text false;
wenzelm@32856
   467
fun refine_insert ths = Seq.hd o refine (Method.Basic (K (Method.insert ths)));
wenzelm@18908
   468
wenzelm@8234
   469
end;
wenzelm@8234
   470
wenzelm@5820
   471
wenzelm@17359
   472
(* refine via sub-proof *)
wenzelm@17359
   473
wenzelm@46466
   474
local
wenzelm@46466
   475
wenzelm@30557
   476
fun finish_tac 0 = K all_tac
wenzelm@30557
   477
  | finish_tac n =
wenzelm@30557
   478
      Goal.norm_hhf_tac THEN'
wenzelm@30557
   479
      SUBGOAL (fn (goal, i) =>
wenzelm@30557
   480
        if can Logic.unprotect (Logic.strip_assums_concl goal) then
wenzelm@30557
   481
          Tactic.etac Drule.protectI i THEN finish_tac (n - 1) i
wenzelm@30557
   482
        else finish_tac (n - 1) (i + 1));
wenzelm@30557
   483
wenzelm@20208
   484
fun goal_tac rule =
wenzelm@30557
   485
  Goal.norm_hhf_tac THEN'
wenzelm@30557
   486
  Tactic.rtac rule THEN'
wenzelm@30557
   487
  finish_tac (Thm.nprems_of rule);
wenzelm@11816
   488
wenzelm@46466
   489
fun FINDGOAL tac st =
wenzelm@46466
   490
  let fun find i n = if i > n then Seq.fail else Seq.APPEND (tac i, find (i + 1) n)
wenzelm@46466
   491
  in find 1 (Thm.nprems_of st) st end;
wenzelm@46466
   492
wenzelm@46466
   493
in
wenzelm@46466
   494
wenzelm@19915
   495
fun refine_goals print_rule inner raw_rules state =
wenzelm@19915
   496
  let
wenzelm@19915
   497
    val (outer, (_, goal)) = get_goal state;
wenzelm@20208
   498
    fun refine rule st = (print_rule outer rule; FINDGOAL (goal_tac rule) st);
wenzelm@19915
   499
  in
wenzelm@19915
   500
    raw_rules
wenzelm@42360
   501
    |> Proof_Context.goal_export inner outer
wenzelm@47068
   502
    |> (fn rules => Seq.lift provide_goal (EVERY (map refine rules) goal) state)
wenzelm@19915
   503
  end;
wenzelm@17359
   504
wenzelm@46466
   505
end;
wenzelm@46466
   506
wenzelm@6932
   507
wenzelm@17359
   508
(* conclude_goal *)
wenzelm@6932
   509
wenzelm@28627
   510
fun conclude_goal ctxt goal propss =
wenzelm@5820
   511
  let
wenzelm@42360
   512
    val thy = Proof_Context.theory_of ctxt;
wenzelm@24920
   513
    val string_of_term = Syntax.string_of_term ctxt;
wenzelm@32091
   514
    val string_of_thm = Display.string_of_thm ctxt;
wenzelm@5820
   515
wenzelm@17359
   516
    val ngoals = Thm.nprems_of goal;
wenzelm@19774
   517
    val _ = ngoals = 0 orelse error (Pretty.string_of (Pretty.chunks
wenzelm@39125
   518
      (Goal_Display.pretty_goals ctxt goal @
wenzelm@47065
   519
        [Pretty.str (string_of_int ngoals ^ " unsolved goal(s)")])));
wenzelm@20224
   520
wenzelm@20224
   521
    val extra_hyps = Assumption.extra_hyps ctxt goal;
wenzelm@20224
   522
    val _ = null extra_hyps orelse
wenzelm@20224
   523
      error ("Additional hypotheses:\n" ^ cat_lines (map string_of_term extra_hyps));
wenzelm@5820
   524
wenzelm@23418
   525
    fun lost_structure () = error ("Lost goal structure:\n" ^ string_of_thm goal);
wenzelm@23418
   526
berghofe@23782
   527
    val th = Goal.conclude
wenzelm@23806
   528
      (if length (flat propss) > 1 then Thm.norm_proof goal else goal)
berghofe@23782
   529
      handle THM _ => lost_structure ();
wenzelm@23418
   530
    val goal_propss = filter_out null propss;
wenzelm@23418
   531
    val results =
wenzelm@23418
   532
      Conjunction.elim_balanced (length goal_propss) th
wenzelm@23418
   533
      |> map2 Conjunction.elim_balanced (map length goal_propss)
wenzelm@23418
   534
      handle THM _ => lost_structure ();
wenzelm@23418
   535
    val _ = Unify.matches_list thy (flat goal_propss) (map Thm.prop_of (flat results)) orelse
wenzelm@19774
   536
      error ("Proved a different theorem:\n" ^ string_of_thm th);
wenzelm@28627
   537
    val _ = Thm.check_shyps (Variable.sorts_of ctxt) th;
wenzelm@23418
   538
wenzelm@23418
   539
    fun recover_result ([] :: pss) thss = [] :: recover_result pss thss
wenzelm@23418
   540
      | recover_result (_ :: pss) (ths :: thss) = ths :: recover_result pss thss
wenzelm@23418
   541
      | recover_result [] [] = []
wenzelm@23418
   542
      | recover_result _ _ = lost_structure ();
wenzelm@23418
   543
  in recover_result propss results end;
wenzelm@5820
   544
wenzelm@5820
   545
wenzelm@33288
   546
(* goal views -- corresponding to methods *)
wenzelm@33288
   547
wenzelm@33288
   548
fun raw_goal state =
wenzelm@33288
   549
  let val (ctxt, (facts, goal)) = get_goal state
wenzelm@33288
   550
  in {context = ctxt, facts = facts, goal = goal} end;
wenzelm@33288
   551
wenzelm@33288
   552
val goal = raw_goal o refine_insert [];
wenzelm@33288
   553
wenzelm@33288
   554
fun simple_goal state =
wenzelm@33288
   555
  let
wenzelm@33288
   556
    val (_, (facts, _)) = get_goal state;
wenzelm@33288
   557
    val (ctxt, (_, goal)) = get_goal (refine_insert facts state);
wenzelm@33288
   558
  in {context = ctxt, goal = goal} end;
wenzelm@33288
   559
wenzelm@38721
   560
fun status_markup state =
wenzelm@38721
   561
  (case try goal state of
wenzelm@45666
   562
    SOME {goal, ...} => Isabelle_Markup.proof_state (Thm.nprems_of goal)
wenzelm@38721
   563
  | NONE => Markup.empty);
wenzelm@38721
   564
wenzelm@33288
   565
wenzelm@5820
   566
wenzelm@5820
   567
(*** structured proof commands ***)
wenzelm@5820
   568
wenzelm@17112
   569
(** context elements **)
wenzelm@5820
   570
wenzelm@36324
   571
(* let bindings *)
wenzelm@5820
   572
wenzelm@16813
   573
local
wenzelm@16813
   574
wenzelm@17359
   575
fun gen_bind bind args state =
wenzelm@5820
   576
  state
wenzelm@5820
   577
  |> assert_forward
wenzelm@36324
   578
  |> map_context (bind true args #> snd)
wenzelm@47068
   579
  |> reset_facts;
wenzelm@5820
   580
wenzelm@16813
   581
in
wenzelm@16813
   582
wenzelm@42360
   583
val let_bind = gen_bind Proof_Context.match_bind_i;
wenzelm@42360
   584
val let_bind_cmd = gen_bind Proof_Context.match_bind;
wenzelm@5820
   585
wenzelm@16813
   586
end;
wenzelm@16813
   587
wenzelm@5820
   588
wenzelm@36505
   589
(* concrete syntax *)
wenzelm@36505
   590
wenzelm@36505
   591
local
wenzelm@36505
   592
wenzelm@36507
   593
fun gen_write prep_arg mode args =
wenzelm@36507
   594
  assert_forward
wenzelm@42360
   595
  #> map_context (fn ctxt => ctxt |> Proof_Context.notation true mode (map (prep_arg ctxt) args))
wenzelm@47068
   596
  #> reset_facts;
wenzelm@36505
   597
wenzelm@36505
   598
in
wenzelm@36505
   599
wenzelm@36505
   600
val write = gen_write (K I);
wenzelm@36505
   601
wenzelm@36505
   602
val write_cmd =
wenzelm@36505
   603
  gen_write (fn ctxt => fn (c, mx) =>
wenzelm@42360
   604
    (Proof_Context.read_const ctxt false (Mixfix.mixfixT mx) c, mx));
wenzelm@36505
   605
wenzelm@36505
   606
end;
wenzelm@36505
   607
wenzelm@36505
   608
wenzelm@17359
   609
(* fix *)
wenzelm@9196
   610
wenzelm@12714
   611
local
wenzelm@12714
   612
wenzelm@30763
   613
fun gen_fix prep_vars args =
wenzelm@17359
   614
  assert_forward
wenzelm@45597
   615
  #> map_context (fn ctxt => snd (Proof_Context.add_fixes (fst (prep_vars args ctxt)) ctxt))
wenzelm@47068
   616
  #> reset_facts;
wenzelm@5820
   617
wenzelm@16813
   618
in
wenzelm@16813
   619
wenzelm@45597
   620
val fix = gen_fix Proof_Context.cert_vars;
wenzelm@45597
   621
val fix_cmd = gen_fix Proof_Context.read_vars;
wenzelm@5820
   622
wenzelm@16813
   623
end;
wenzelm@16813
   624
wenzelm@5820
   625
wenzelm@17359
   626
(* assume etc. *)
wenzelm@5820
   627
wenzelm@16813
   628
local
wenzelm@16813
   629
wenzelm@17112
   630
fun gen_assume asm prep_att exp args state =
wenzelm@5820
   631
  state
wenzelm@5820
   632
  |> assert_forward
wenzelm@47815
   633
  |> map_context_result (asm exp (Attrib.map_specs (map (prep_att (context_of state))) args))
wenzelm@17359
   634
  |> these_factss [] |> #2;
wenzelm@6932
   635
wenzelm@16813
   636
in
wenzelm@16813
   637
wenzelm@42360
   638
val assm = gen_assume Proof_Context.add_assms_i (K I);
wenzelm@47815
   639
val assm_cmd = gen_assume Proof_Context.add_assms Attrib.attribute_cmd;
wenzelm@36323
   640
val assume = assm Assumption.assume_export;
wenzelm@36323
   641
val assume_cmd = assm_cmd Assumption.assume_export;
wenzelm@36323
   642
val presume = assm Assumption.presume_export;
wenzelm@36323
   643
val presume_cmd = assm_cmd Assumption.presume_export;
wenzelm@5820
   644
wenzelm@16813
   645
end;
wenzelm@16813
   646
wenzelm@7271
   647
wenzelm@17359
   648
(* def *)
wenzelm@11891
   649
wenzelm@16813
   650
local
wenzelm@16813
   651
wenzelm@20913
   652
fun gen_def prep_att prep_vars prep_binds args state =
wenzelm@11891
   653
  let
wenzelm@11891
   654
    val _ = assert_forward state;
wenzelm@20913
   655
    val (raw_name_atts, (raw_vars, raw_rhss)) = args |> split_list ||> split_list;
wenzelm@47815
   656
    val name_atts = map (apsnd (map (prep_att (context_of state)))) raw_name_atts;
wenzelm@11891
   657
  in
wenzelm@20913
   658
    state
wenzelm@20913
   659
    |> map_context_result (prep_vars (map (fn (x, mx) => (x, NONE, mx)) raw_vars))
wenzelm@20913
   660
    |>> map (fn (x, _, mx) => (x, mx))
wenzelm@20913
   661
    |-> (fn vars =>
wenzelm@20913
   662
      map_context_result (prep_binds false (map swap raw_rhss))
wenzelm@35624
   663
      #-> (fn rhss => map_context_result (Local_Defs.add_defs (vars ~~ (name_atts ~~ rhss)))))
wenzelm@47068
   664
    |-> (set_facts o map (#2 o #2))
wenzelm@11891
   665
  end;
wenzelm@11891
   666
wenzelm@16813
   667
in
wenzelm@16813
   668
wenzelm@42360
   669
val def = gen_def (K I) Proof_Context.cert_vars Proof_Context.match_bind_i;
wenzelm@47815
   670
val def_cmd = gen_def Attrib.attribute_cmd Proof_Context.read_vars Proof_Context.match_bind;
wenzelm@11891
   671
wenzelm@16813
   672
end;
wenzelm@16813
   673
wenzelm@11891
   674
wenzelm@8374
   675
wenzelm@17112
   676
(** facts **)
wenzelm@5820
   677
wenzelm@17359
   678
(* chain *)
wenzelm@5820
   679
wenzelm@24011
   680
fun clean_facts ctxt =
wenzelm@47068
   681
  set_facts (filter_out Thm.is_dummy (the_facts ctxt)) ctxt;
wenzelm@24011
   682
wenzelm@17359
   683
val chain =
wenzelm@17359
   684
  assert_forward
wenzelm@24011
   685
  #> clean_facts
wenzelm@17359
   686
  #> enter_chain;
wenzelm@5820
   687
wenzelm@17359
   688
fun chain_facts facts =
wenzelm@47068
   689
  set_facts facts
wenzelm@17359
   690
  #> chain;
wenzelm@5820
   691
wenzelm@5820
   692
wenzelm@17359
   693
(* note etc. *)
wenzelm@17112
   694
haftmann@28965
   695
fun no_binding args = map (pair (Binding.empty, [])) args;
wenzelm@17112
   696
wenzelm@17112
   697
local
wenzelm@17112
   698
wenzelm@30760
   699
fun gen_thmss more_facts opt_chain opt_result prep_atts prep_fact args state =
wenzelm@17112
   700
  state
wenzelm@17112
   701
  |> assert_forward
wenzelm@47815
   702
  |> map_context_result (fn ctxt => ctxt |> Proof_Context.note_thmss ""
wenzelm@47815
   703
    (Attrib.map_facts_refs (map (prep_atts ctxt)) (prep_fact ctxt) args))
wenzelm@17112
   704
  |> these_factss (more_facts state)
wenzelm@17359
   705
  ||> opt_chain
wenzelm@17359
   706
  |> opt_result;
wenzelm@17112
   707
wenzelm@17112
   708
in
wenzelm@17112
   709
wenzelm@36323
   710
val note_thmss = gen_thmss (K []) I #2 (K I) (K I);
wenzelm@47815
   711
val note_thmss_cmd = gen_thmss (K []) I #2 Attrib.attribute_cmd Proof_Context.get_fact;
wenzelm@17112
   712
wenzelm@36323
   713
val from_thmss = gen_thmss (K []) chain #2 (K I) (K I) o no_binding;
wenzelm@47815
   714
val from_thmss_cmd =
wenzelm@47815
   715
  gen_thmss (K []) chain #2 Attrib.attribute_cmd Proof_Context.get_fact o no_binding;
wenzelm@17359
   716
wenzelm@36323
   717
val with_thmss = gen_thmss the_facts chain #2 (K I) (K I) o no_binding;
wenzelm@47815
   718
val with_thmss_cmd =
wenzelm@47815
   719
  gen_thmss the_facts chain #2 Attrib.attribute_cmd Proof_Context.get_fact o no_binding;
wenzelm@30760
   720
wenzelm@30760
   721
val local_results = gen_thmss (K []) I I (K I) (K I) o map (apsnd Thm.simple_fact);
wenzelm@17359
   722
wenzelm@17112
   723
end;
wenzelm@17112
   724
wenzelm@17112
   725
wenzelm@18548
   726
(* using/unfolding *)
wenzelm@17112
   727
wenzelm@17112
   728
local
wenzelm@17112
   729
wenzelm@45390
   730
fun gen_using f g prep_att prep_fact args state =
wenzelm@17112
   731
  state
wenzelm@17112
   732
  |> assert_backward
wenzelm@21442
   733
  |> map_context_result
wenzelm@47815
   734
    (fn ctxt => ctxt |> Proof_Context.note_thmss ""
wenzelm@47815
   735
      (Attrib.map_facts_refs (map (prep_att ctxt)) (prep_fact ctxt) (no_binding args)))
wenzelm@18843
   736
  |> (fn (named_facts, state') =>
wenzelm@24556
   737
    state' |> map_goal I (fn (statement, _, using, goal, before_qed, after_qed) =>
wenzelm@18843
   738
      let
wenzelm@18843
   739
        val ctxt = context_of state';
wenzelm@19482
   740
        val ths = maps snd named_facts;
wenzelm@47431
   741
      in (statement, [], f ctxt ths using, g ctxt ths goal, before_qed, after_qed) end) I);
wenzelm@18548
   742
wenzelm@24050
   743
fun append_using _ ths using = using @ filter_out Thm.is_dummy ths;
wenzelm@35624
   744
fun unfold_using ctxt ths = map (Local_Defs.unfold ctxt ths);
wenzelm@35624
   745
val unfold_goals = Local_Defs.unfold_goals;
wenzelm@17112
   746
wenzelm@17112
   747
in
wenzelm@17112
   748
wenzelm@36323
   749
val using = gen_using append_using (K (K I)) (K I) (K I);
wenzelm@47815
   750
val using_cmd = gen_using append_using (K (K I)) Attrib.attribute_cmd Proof_Context.get_fact;
wenzelm@36323
   751
val unfolding = gen_using unfold_using unfold_goals (K I) (K I);
wenzelm@47815
   752
val unfolding_cmd = gen_using unfold_using unfold_goals Attrib.attribute_cmd Proof_Context.get_fact;
wenzelm@17112
   753
wenzelm@17112
   754
end;
wenzelm@17112
   755
wenzelm@17112
   756
wenzelm@17112
   757
(* case *)
wenzelm@17112
   758
wenzelm@17112
   759
local
wenzelm@17112
   760
wenzelm@30419
   761
fun qualified_binding a =
wenzelm@30419
   762
  Binding.qualify true (Long_Name.qualifier a) (Binding.name (Long_Name.base_name a));
wenzelm@30419
   763
wenzelm@17112
   764
fun gen_invoke_case prep_att (name, xs, raw_atts) state =
wenzelm@17112
   765
  let
wenzelm@47815
   766
    val atts = map (prep_att (context_of state)) raw_atts;
wenzelm@19078
   767
    val (asms, state') = state |> map_context_result (fn ctxt =>
wenzelm@42360
   768
      ctxt |> Proof_Context.apply_case (Proof_Context.get_case ctxt name xs));
wenzelm@30419
   769
    val assumptions = asms |> map (fn (a, ts) => ((qualified_binding a, atts), map (rpair []) ts));
wenzelm@17112
   770
  in
wenzelm@17112
   771
    state'
wenzelm@36323
   772
    |> assume assumptions
wenzelm@33386
   773
    |> bind_terms Auto_Bind.no_facts
wenzelm@36323
   774
    |> `the_facts |-> (fn thms => note_thmss [((Binding.name name, []), [(thms, [])])])
wenzelm@17112
   775
  end;
wenzelm@17112
   776
wenzelm@17112
   777
in
wenzelm@17112
   778
wenzelm@36323
   779
val invoke_case = gen_invoke_case (K I);
wenzelm@47815
   780
val invoke_case_cmd = gen_invoke_case Attrib.attribute_cmd;
wenzelm@17112
   781
wenzelm@17112
   782
end;
wenzelm@17112
   783
wenzelm@17112
   784
wenzelm@17112
   785
wenzelm@17359
   786
(** proof structure **)
wenzelm@17359
   787
wenzelm@17359
   788
(* blocks *)
wenzelm@17359
   789
wenzelm@17359
   790
val begin_block =
wenzelm@17359
   791
  assert_forward
wenzelm@17359
   792
  #> open_block
wenzelm@47068
   793
  #> reset_goal
wenzelm@17359
   794
  #> open_block;
wenzelm@17359
   795
wenzelm@17359
   796
val next_block =
wenzelm@17359
   797
  assert_forward
wenzelm@17359
   798
  #> close_block
wenzelm@17359
   799
  #> open_block
wenzelm@47068
   800
  #> reset_goal
wenzelm@47068
   801
  #> reset_facts;
wenzelm@17359
   802
wenzelm@17359
   803
fun end_block state =
wenzelm@17359
   804
  state
wenzelm@17359
   805
  |> assert_forward
wenzelm@40960
   806
  |> assert_bottom false
wenzelm@17359
   807
  |> close_block
wenzelm@17359
   808
  |> assert_current_goal false
wenzelm@17359
   809
  |> close_block
wenzelm@17359
   810
  |> export_facts state;
wenzelm@17359
   811
wenzelm@17359
   812
wenzelm@40960
   813
(* global notepad *)
wenzelm@40960
   814
wenzelm@40960
   815
val begin_notepad =
wenzelm@40960
   816
  init
wenzelm@40960
   817
  #> open_block
wenzelm@40960
   818
  #> map_context (Variable.set_body true)
wenzelm@40960
   819
  #> open_block;
wenzelm@40960
   820
wenzelm@40960
   821
val end_notepad =
wenzelm@40960
   822
  assert_forward
wenzelm@40960
   823
  #> assert_bottom true
wenzelm@40960
   824
  #> close_block
wenzelm@40960
   825
  #> assert_current_goal false
wenzelm@40960
   826
  #> close_block
wenzelm@40960
   827
  #> context_of;
wenzelm@40960
   828
wenzelm@40960
   829
wenzelm@17359
   830
(* sub-proofs *)
wenzelm@17359
   831
wenzelm@17359
   832
fun proof opt_text =
wenzelm@17359
   833
  assert_backward
wenzelm@17859
   834
  #> refine (the_default Method.default_text opt_text)
wenzelm@17359
   835
  #> Seq.map (using_facts [] #> enter_forward);
wenzelm@17359
   836
wenzelm@23360
   837
fun end_proof bot txt state =
wenzelm@23360
   838
  state
wenzelm@23360
   839
  |> assert_forward
wenzelm@23360
   840
  |> assert_bottom bot
wenzelm@23360
   841
  |> close_block
wenzelm@23360
   842
  |> assert_current_goal true
wenzelm@23360
   843
  |> using_facts []
wenzelm@23360
   844
  |> `before_qed |-> (refine o the_default Method.succeed_text)
wenzelm@32193
   845
  |> Seq.maps (refine (Method.finish_text txt));
wenzelm@17359
   846
wenzelm@29383
   847
fun check_result msg sq =
wenzelm@29383
   848
  (case Seq.pull sq of
wenzelm@29383
   849
    NONE => error msg
wenzelm@29383
   850
  | SOME (s, _) => s);
wenzelm@29383
   851
wenzelm@29383
   852
fun check_finish sq = check_result "Failed to finish proof" sq;
wenzelm@29383
   853
wenzelm@17359
   854
wenzelm@17359
   855
(* unstructured refinement *)
wenzelm@17359
   856
wenzelm@32193
   857
fun defer i = assert_no_chain #> refine (Method.Basic (K (Method.defer i)));
wenzelm@32193
   858
fun prefer i = assert_no_chain #> refine (Method.Basic (K (Method.prefer i)));
wenzelm@17359
   859
wenzelm@17359
   860
fun apply text = assert_backward #> refine text #> Seq.map (using_facts []);
wenzelm@17359
   861
fun apply_end text = assert_forward #> refine_end text;
wenzelm@17359
   862
wenzelm@17359
   863
wenzelm@17359
   864
wenzelm@17112
   865
(** goals **)
wenzelm@17112
   866
wenzelm@17359
   867
(* generic goals *)
wenzelm@17359
   868
wenzelm@19774
   869
local
wenzelm@19774
   870
wenzelm@36322
   871
val is_var =
wenzelm@36322
   872
  can (dest_TVar o Logic.dest_type o Logic.dest_term) orf
wenzelm@36322
   873
  can (dest_Var o Logic.dest_term);
wenzelm@36322
   874
wenzelm@36322
   875
fun implicit_vars props =
wenzelm@19846
   876
  let
wenzelm@36354
   877
    val (var_props, _) = take_prefix is_var props;
wenzelm@36322
   878
    val explicit_vars = fold Term.add_vars var_props [];
wenzelm@36322
   879
    val vars = filter_out (member (op =) explicit_vars) (fold Term.add_vars props []);
wenzelm@36322
   880
  in map (Logic.mk_term o Var) vars end;
wenzelm@19774
   881
wenzelm@19774
   882
fun refine_terms n =
wenzelm@30510
   883
  refine (Method.Basic (K (RAW_METHOD
wenzelm@19774
   884
    (K (HEADGOAL (PRECISE_CONJUNCTS n
wenzelm@32193
   885
      (HEADGOAL (CONJUNCTS (ALLGOALS (rtac Drule.termI))))))))))
wenzelm@19774
   886
  #> Seq.hd;
wenzelm@19774
   887
wenzelm@19774
   888
in
wenzelm@17359
   889
wenzelm@17859
   890
fun generic_goal prepp kind before_qed after_qed raw_propp state =
wenzelm@5820
   891
  let
wenzelm@17359
   892
    val thy = theory_of state;
wenzelm@23418
   893
    val cert = Thm.cterm_of thy;
wenzelm@17359
   894
    val chaining = can assert_chain state;
wenzelm@25958
   895
    val pos = Position.thread_data ();
wenzelm@17359
   896
wenzelm@17359
   897
    val ((propss, after_ctxt), goal_state) =
wenzelm@5936
   898
      state
wenzelm@5936
   899
      |> assert_forward_or_chain
wenzelm@5936
   900
      |> enter_forward
wenzelm@17359
   901
      |> open_block
wenzelm@45327
   902
      |> map_context_result (prepp raw_propp);
wenzelm@19482
   903
    val props = flat propss;
wenzelm@15703
   904
wenzelm@36322
   905
    val vars = implicit_vars props;
wenzelm@36322
   906
    val propss' = vars :: propss;
wenzelm@23418
   907
    val goal_propss = filter_out null propss';
wenzelm@29346
   908
    val goal =
wenzelm@29346
   909
      cert (Logic.mk_conjunction_balanced (map Logic.mk_conjunction_balanced goal_propss))
wenzelm@28627
   910
      |> Thm.weaken_sorts (Variable.sorts_of (context_of goal_state));
wenzelm@29346
   911
    val statement = ((kind, pos), propss', Thm.term_of goal);
wenzelm@18124
   912
    val after_qed' = after_qed |>> (fn after_local =>
wenzelm@18124
   913
      fn results => map_context after_ctxt #> after_local results);
wenzelm@5820
   914
  in
wenzelm@17359
   915
    goal_state
wenzelm@21727
   916
    |> map_context (init_context #> Variable.set_body true)
wenzelm@47068
   917
    |> set_goal (make_goal (statement, [], [], Goal.init goal, before_qed, after_qed'))
wenzelm@42360
   918
    |> map_context (Proof_Context.auto_bind_goal props)
wenzelm@21565
   919
    |> chaining ? (`the_facts #-> using_facts)
wenzelm@47068
   920
    |> reset_facts
wenzelm@17359
   921
    |> open_block
wenzelm@47068
   922
    |> reset_goal
wenzelm@5820
   923
    |> enter_backward
wenzelm@23418
   924
    |> not (null vars) ? refine_terms (length goal_propss)
wenzelm@32193
   925
    |> null props ? (refine (Method.Basic Method.assumption) #> Seq.hd)
wenzelm@5820
   926
  end;
wenzelm@5820
   927
wenzelm@29090
   928
fun generic_qed after_ctxt state =
wenzelm@12503
   929
  let
wenzelm@36354
   930
    val (goal_ctxt, {statement = (_, stmt, _), goal, after_qed, ...}) = current_goal state;
wenzelm@8617
   931
    val outer_state = state |> close_block;
wenzelm@8617
   932
    val outer_ctxt = context_of outer_state;
wenzelm@8617
   933
wenzelm@18503
   934
    val props =
wenzelm@19774
   935
      flat (tl stmt)
wenzelm@19915
   936
      |> Variable.exportT_terms goal_ctxt outer_ctxt;
wenzelm@17359
   937
    val results =
wenzelm@28627
   938
      tl (conclude_goal goal_ctxt goal stmt)
wenzelm@42360
   939
      |> burrow (Proof_Context.export goal_ctxt outer_ctxt);
wenzelm@17359
   940
  in
wenzelm@17359
   941
    outer_state
wenzelm@29090
   942
    |> map_context (after_ctxt props)
wenzelm@34239
   943
    |> pair (after_qed, results)
wenzelm@17359
   944
  end;
wenzelm@17359
   945
wenzelm@19774
   946
end;
wenzelm@19774
   947
wenzelm@9469
   948
wenzelm@17359
   949
(* local goals *)
wenzelm@17359
   950
wenzelm@17859
   951
fun local_goal print_results prep_att prepp kind before_qed after_qed stmt state =
wenzelm@17359
   952
  let
wenzelm@21362
   953
    val ((names, attss), propp) =
wenzelm@47815
   954
      Attrib.map_specs (map (prep_att (context_of state))) stmt |> split_list |>> split_list;
wenzelm@17359
   955
wenzelm@18124
   956
    fun after_qed' results =
wenzelm@18808
   957
      local_results ((names ~~ attss) ~~ results)
wenzelm@17359
   958
      #-> (fn res => tap (fn st => print_results (context_of st) ((kind, ""), res) : unit))
wenzelm@18124
   959
      #> after_qed results;
wenzelm@5820
   960
  in
wenzelm@17359
   961
    state
wenzelm@21362
   962
    |> generic_goal prepp kind before_qed (after_qed', K I) propp
wenzelm@19900
   963
    |> tap (Variable.warn_extra_tfrees (context_of state) o context_of)
wenzelm@5820
   964
  end;
wenzelm@5820
   965
wenzelm@29383
   966
fun local_qeds txt =
wenzelm@29383
   967
  end_proof false txt
wenzelm@42360
   968
  #> Seq.map (generic_qed Proof_Context.auto_bind_facts #->
wenzelm@49042
   969
    (fn ((after_qed, _), results) => register_proofs (flat results) #> after_qed results));
wenzelm@5820
   970
wenzelm@29383
   971
fun local_qed txt = local_qeds txt #> check_finish;
wenzelm@29383
   972
wenzelm@5820
   973
wenzelm@17359
   974
(* global goals *)
wenzelm@17359
   975
wenzelm@45327
   976
fun prepp_auto_fixes prepp args =
wenzelm@45327
   977
  prepp args #>
wenzelm@45327
   978
  (fn ((propss, a), ctxt) => ((propss, a), (fold o fold) Variable.auto_fixes propss ctxt));
wenzelm@45327
   979
wenzelm@45327
   980
fun global_goal prepp before_qed after_qed propp =
wenzelm@45327
   981
  init #>
wenzelm@45327
   982
  generic_goal (prepp_auto_fixes prepp) "" before_qed (K I, after_qed) propp;
wenzelm@17359
   983
wenzelm@42360
   984
val theorem = global_goal Proof_Context.bind_propp_schematic_i;
wenzelm@42360
   985
val theorem_cmd = global_goal Proof_Context.bind_propp_schematic;
wenzelm@12065
   986
wenzelm@17359
   987
fun global_qeds txt =
wenzelm@17359
   988
  end_proof true txt
wenzelm@29090
   989
  #> Seq.map (generic_qed (K I) #> (fn (((_, after_qed), results), state) =>
wenzelm@29383
   990
    after_qed results (context_of state)));
wenzelm@17112
   991
wenzelm@29383
   992
fun global_qed txt = global_qeds txt #> check_finish;
wenzelm@12959
   993
wenzelm@5820
   994
wenzelm@17359
   995
(* concluding steps *)
wenzelm@17112
   996
wenzelm@29383
   997
fun terminal_proof qed initial terminal =
wenzelm@29383
   998
  proof (SOME initial) #> Seq.maps (qed terminal) #> check_finish;
wenzelm@17112
   999
wenzelm@29383
  1000
fun local_terminal_proof (text, opt_text) = terminal_proof local_qeds text (opt_text, true);
wenzelm@17112
  1001
val local_default_proof = local_terminal_proof (Method.default_text, NONE);
wenzelm@17112
  1002
val local_immediate_proof = local_terminal_proof (Method.this_text, NONE);
wenzelm@17359
  1003
fun local_skip_proof int = local_terminal_proof (Method.sorry_text int, NONE);
wenzelm@29383
  1004
val local_done_proof = terminal_proof local_qeds Method.done_text (NONE, false);
wenzelm@17112
  1005
wenzelm@29383
  1006
fun global_terminal_proof (text, opt_text) = terminal_proof global_qeds text (opt_text, true);
wenzelm@17112
  1007
val global_default_proof = global_terminal_proof (Method.default_text, NONE);
wenzelm@17112
  1008
val global_immediate_proof = global_terminal_proof (Method.this_text, NONE);
wenzelm@17359
  1009
fun global_skip_proof int = global_terminal_proof (Method.sorry_text int, NONE);
wenzelm@29383
  1010
val global_done_proof = terminal_proof global_qeds Method.done_text (NONE, false);
wenzelm@5820
  1011
wenzelm@6896
  1012
wenzelm@17359
  1013
(* common goal statements *)
wenzelm@17359
  1014
wenzelm@17359
  1015
local
wenzelm@17359
  1016
wenzelm@17859
  1017
fun gen_have prep_att prepp before_qed after_qed stmt int =
wenzelm@46728
  1018
  local_goal (Proof_Display.print_results Isabelle_Markup.state int)
wenzelm@46728
  1019
    prep_att prepp "have" before_qed after_qed stmt;
wenzelm@6896
  1020
wenzelm@17859
  1021
fun gen_show prep_att prepp before_qed after_qed stmt int state =
wenzelm@17359
  1022
  let
wenzelm@32738
  1023
    val testing = Unsynchronized.ref false;
wenzelm@32738
  1024
    val rule = Unsynchronized.ref (NONE: thm option);
wenzelm@17359
  1025
    fun fail_msg ctxt =
wenzelm@29383
  1026
      "Local statement will fail to refine any pending goal" ::
wenzelm@33389
  1027
      (case ! rule of NONE => [] | SOME th => [Proof_Display.string_of_rule ctxt "Failed" th])
wenzelm@17359
  1028
      |> cat_lines;
wenzelm@6896
  1029
wenzelm@17359
  1030
    fun print_results ctxt res =
wenzelm@46728
  1031
      if ! testing then ()
wenzelm@46728
  1032
      else Proof_Display.print_results Isabelle_Markup.state int ctxt res;
wenzelm@17359
  1033
    fun print_rule ctxt th =
wenzelm@17359
  1034
      if ! testing then rule := SOME th
wenzelm@41181
  1035
      else if int then
wenzelm@45666
  1036
        writeln
wenzelm@45666
  1037
          (Markup.markup Isabelle_Markup.state (Proof_Display.string_of_rule ctxt "Successful" th))
wenzelm@17359
  1038
      else ();
wenzelm@17359
  1039
    val test_proof =
wenzelm@29383
  1040
      try (local_skip_proof true)
wenzelm@39616
  1041
      |> Unsynchronized.setmp testing true
wenzelm@42042
  1042
      |> Exn.interruptible_capture;
wenzelm@6896
  1043
wenzelm@18124
  1044
    fun after_qed' results =
wenzelm@19482
  1045
      refine_goals print_rule (context_of state) (flat results)
wenzelm@29383
  1046
      #> check_result "Failed to refine any pending goal"
wenzelm@29383
  1047
      #> after_qed results;
wenzelm@17359
  1048
  in
wenzelm@17359
  1049
    state
wenzelm@17859
  1050
    |> local_goal print_results prep_att prepp "show" before_qed after_qed' stmt
wenzelm@21565
  1051
    |> int ? (fn goal_state =>
wenzelm@17359
  1052
      (case test_proof goal_state of
wenzelm@43761
  1053
        Exn.Res (SOME _) => goal_state
wenzelm@43761
  1054
      | Exn.Res NONE => error (fail_msg (context_of goal_state))
wenzelm@42042
  1055
      | Exn.Exn exn => raise Exn.EXCEPTIONS ([exn, ERROR (fail_msg (context_of goal_state))])))
wenzelm@17359
  1056
  end;
wenzelm@17359
  1057
wenzelm@17359
  1058
in
wenzelm@17359
  1059
wenzelm@42360
  1060
val have = gen_have (K I) Proof_Context.bind_propp_i;
wenzelm@47815
  1061
val have_cmd = gen_have Attrib.attribute_cmd Proof_Context.bind_propp;
wenzelm@42360
  1062
val show = gen_show (K I) Proof_Context.bind_propp_i;
wenzelm@47815
  1063
val show_cmd = gen_show Attrib.attribute_cmd Proof_Context.bind_propp;
wenzelm@6896
  1064
wenzelm@5820
  1065
end;
wenzelm@17359
  1066
wenzelm@28410
  1067
wenzelm@29385
  1068
wenzelm@29385
  1069
(** future proofs **)
wenzelm@29385
  1070
wenzelm@29385
  1071
(* relevant proof states *)
wenzelm@29385
  1072
wenzelm@29385
  1073
fun is_schematic t =
wenzelm@29385
  1074
  Term.exists_subterm Term.is_Var t orelse
wenzelm@29385
  1075
  Term.exists_type (Term.exists_subtype Term.is_TVar) t;
wenzelm@29385
  1076
wenzelm@29385
  1077
fun schematic_goal state =
wenzelm@29385
  1078
  let val (_, (_, {statement = (_, _, prop), ...})) = find_goal state
wenzelm@29385
  1079
  in is_schematic prop end;
wenzelm@29385
  1080
wenzelm@29385
  1081
fun is_relevant state =
wenzelm@29385
  1082
  (case try find_goal state of
wenzelm@29385
  1083
    NONE => true
wenzelm@29385
  1084
  | SOME (_, (_, {statement = (_, _, prop), goal, ...})) =>
wenzelm@29385
  1085
      is_schematic prop orelse not (Logic.protect prop aconv Thm.concl_of goal));
wenzelm@29385
  1086
wenzelm@29385
  1087
wenzelm@29385
  1088
(* full proofs *)
wenzelm@28410
  1089
wenzelm@29346
  1090
local
wenzelm@29346
  1091
wenzelm@29385
  1092
fun future_proof done get_context fork_proof state =
wenzelm@28410
  1093
  let
wenzelm@29381
  1094
    val _ = assert_backward state;
wenzelm@28410
  1095
    val (goal_ctxt, (_, goal)) = find_goal state;
wenzelm@32786
  1096
    val {statement as (kind, _, prop), messages, using, goal, before_qed, after_qed} = goal;
wenzelm@47431
  1097
    val goal_tfrees =
wenzelm@47431
  1098
      fold Term.add_tfrees
wenzelm@47431
  1099
        (prop :: map Thm.term_of (Assumption.all_assms_of goal_ctxt)) [];
wenzelm@28410
  1100
wenzelm@29383
  1101
    val _ = is_relevant state andalso error "Cannot fork relevant proof";
wenzelm@29383
  1102
wenzelm@29346
  1103
    val prop' = Logic.protect prop;
wenzelm@29346
  1104
    val statement' = (kind, [[], [prop']], prop');
wenzelm@29346
  1105
    val goal' = Thm.adjust_maxidx_thm (Thm.maxidx_of goal)
wenzelm@29346
  1106
      (Drule.comp_no_flatten (goal, Thm.nprems_of goal) 1 Drule.protectI);
wenzelm@29385
  1107
wenzelm@33386
  1108
    fun after_local' [[th]] = put_thms false (Auto_Bind.thisN, SOME [th]);
wenzelm@42360
  1109
    fun after_global' [[th]] = Proof_Context.put_thms false (Auto_Bind.thisN, SOME [th]);
wenzelm@29385
  1110
    val after_qed' = (after_local', after_global');
wenzelm@42360
  1111
    val this_name = Proof_Context.full_name goal_ctxt (Binding.name Auto_Bind.thisN);
wenzelm@28410
  1112
wenzelm@28973
  1113
    val result_ctxt =
wenzelm@28973
  1114
      state
wenzelm@29385
  1115
      |> map_goal I (K (statement', messages, using, goal', before_qed, after_qed'))
wenzelm@47431
  1116
        (fold (Variable.declare_typ o TFree) goal_tfrees)
wenzelm@29346
  1117
      |> fork_proof;
wenzelm@28973
  1118
wenzelm@29385
  1119
    val future_thm = result_ctxt |> Future.map (fn (_, x) =>
wenzelm@42360
  1120
      Proof_Context.get_fact_single (get_context x) (Facts.named this_name));
wenzelm@32062
  1121
    val finished_goal = Goal.future_result goal_ctxt future_thm prop';
wenzelm@28973
  1122
    val state' =
wenzelm@28973
  1123
      state
wenzelm@47431
  1124
      |> map_goal I (K (statement, messages, using, finished_goal, NONE, after_qed)) I
wenzelm@29385
  1125
      |> done;
wenzelm@28973
  1126
  in (Future.map #1 result_ctxt, state') end;
wenzelm@28410
  1127
wenzelm@29385
  1128
in
wenzelm@29385
  1129
wenzelm@29385
  1130
fun local_future_proof x = future_proof local_done_proof context_of x;
wenzelm@29385
  1131
fun global_future_proof x = future_proof global_done_proof I x;
wenzelm@29385
  1132
wenzelm@17359
  1133
end;
wenzelm@29346
  1134
wenzelm@29385
  1135
wenzelm@29385
  1136
(* terminal proofs *)
wenzelm@29385
  1137
wenzelm@29385
  1138
local
wenzelm@29385
  1139
wenzelm@49012
  1140
fun future_terminal_proof n proof1 proof2 meths int state =
wenzelm@49012
  1141
  if (Goal.future_enabled_level 4 orelse Goal.future_enabled_nested n andalso not int)
wenzelm@49012
  1142
    andalso not (is_relevant state)
wenzelm@49012
  1143
  then
wenzelm@49012
  1144
    snd (proof2 (fn state' =>
wenzelm@49012
  1145
      Goal.fork_name "Proof.future_terminal_proof" (fn () => ((), proof1 meths state'))) state)
wenzelm@49012
  1146
  else proof1 meths state;
wenzelm@29385
  1147
wenzelm@29385
  1148
in
wenzelm@29385
  1149
wenzelm@29385
  1150
fun local_future_terminal_proof x =
wenzelm@49012
  1151
  future_terminal_proof 2 local_terminal_proof local_future_proof x;
wenzelm@29385
  1152
wenzelm@29385
  1153
fun global_future_terminal_proof x =
wenzelm@49012
  1154
  future_terminal_proof 3 global_terminal_proof global_future_proof x;
wenzelm@29350
  1155
wenzelm@29346
  1156
end;
wenzelm@29346
  1157
wenzelm@29385
  1158
end;
wenzelm@29385
  1159