src/Pure/Isar/proof.ML
author wenzelm
Tue Oct 16 20:23:00 2012 +0200 (2012-10-16)
changeset 49866 619acbd72664
parent 49865 eeaf1ec7eac2
child 49867 d3053a55bfcb
permissions -rw-r--r--
more proof method text position information;
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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 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 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 proof_results: Method.text_position option -> state -> state Seq.result Seq.seq
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  val defer: int -> state -> state
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  val prefer: int -> state -> state
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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 apply_results: Method.text_position -> state -> state Seq.result Seq.seq
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  val apply_end_results: Method.text_position -> state -> state Seq.result 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_position 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_position option * bool -> state -> context
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  val local_terminal_proof: Method.text_position * Method.text_position 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_position * Method.text_position 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_position * Method.text_position option -> bool ->
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    state -> state
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  val global_future_terminal_proof: Method.text_position * Method.text_position option -> bool ->
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    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 map_top f (State st) = State (Stack.map_top (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_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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(* 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
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  | map_goal f g h (State (nd, node :: nodes)) =
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      let
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        val nd' = map_node_context f nd;
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        val State (node', nodes') = map_goal f g h (State (node, nodes));
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      in State (nd', node' :: nodes') end
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  | map_goal _ _ _ state = state;
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fun provide_goal goal = map_goal I (fn (statement, _, using, _, before_qed, after_qed) =>
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  (statement, [], using, goal, before_qed, after_qed)) I;
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fun goal_message msg = map_goal I (fn (statement, messages, using, goal, before_qed, after_qed) =>
wenzelm@47431
   319
  (statement, msg :: messages, using, goal, before_qed, after_qed)) I;
wenzelm@24543
   320
wenzelm@24556
   321
fun using_facts using = map_goal I (fn (statement, _, _, goal, before_qed, after_qed) =>
wenzelm@47431
   322
  (statement, [], using, goal, before_qed, after_qed)) I;
wenzelm@17359
   323
wenzelm@17359
   324
local
wenzelm@17359
   325
  fun find i state =
wenzelm@17359
   326
    (case try current_goal state of
wenzelm@17359
   327
      SOME (ctxt, goal) => (ctxt, (i, goal))
wenzelm@18678
   328
    | NONE => find (i + 1) (close_block state handle ERROR _ => error "No goal present"));
wenzelm@17359
   329
in val find_goal = find 0 end;
wenzelm@17359
   330
wenzelm@17359
   331
fun get_goal state =
wenzelm@17359
   332
  let val (ctxt, (_, {using, goal, ...})) = find_goal state
wenzelm@17359
   333
  in (ctxt, (using, goal)) end;
wenzelm@5820
   334
wenzelm@5820
   335
wenzelm@5820
   336
wenzelm@12423
   337
(** pretty_state **)
wenzelm@5820
   338
skalberg@15531
   339
fun pretty_facts _ _ NONE = []
skalberg@15531
   340
  | pretty_facts s ctxt (SOME ths) =
wenzelm@49860
   341
      [Pretty.chunks
wenzelm@49860
   342
        (Pretty.block [Pretty.command s, Pretty.brk 1, Pretty.str "this:"] ::
wenzelm@49860
   343
          map (Display.pretty_thm ctxt) ths), Pretty.str ""];
wenzelm@6756
   344
wenzelm@17359
   345
fun pretty_state nr state =
wenzelm@5820
   346
  let
wenzelm@49011
   347
    val {context = ctxt, facts, mode, goal = _} = top state;
wenzelm@42717
   348
    val verbose = Config.get ctxt Proof_Context.verbose;
wenzelm@5820
   349
wenzelm@49860
   350
    fun prt_goal (SOME (_, (_,
wenzelm@29416
   351
      {statement = ((_, pos), _, _), messages, using, goal, before_qed = _, after_qed = _}))) =
wenzelm@17359
   352
          pretty_facts "using " ctxt
wenzelm@17359
   353
            (if mode <> Backward orelse null using then NONE else SOME using) @
wenzelm@49860
   354
          [Proof_Display.pretty_goal_header goal] @ Goal_Display.pretty_goals ctxt goal @
wenzelm@25958
   355
          (map (fn msg => Position.setmp_thread_data pos msg ()) (rev messages))
wenzelm@17359
   356
      | prt_goal NONE = [];
wenzelm@6848
   357
wenzelm@17359
   358
    val prt_ctxt =
wenzelm@42717
   359
      if verbose orelse mode = Forward then Proof_Context.pretty_context ctxt
wenzelm@42360
   360
      else if mode = Backward then Proof_Context.pretty_ctxt ctxt
wenzelm@7575
   361
      else [];
wenzelm@17359
   362
  in
wenzelm@17359
   363
    [Pretty.str ("proof (" ^ mode_name mode ^ "): step " ^ string_of_int nr ^
wenzelm@42717
   364
      (if verbose then ", depth " ^ string_of_int (level state div 2 - 1) else "")),
wenzelm@17359
   365
      Pretty.str ""] @
wenzelm@17359
   366
    (if null prt_ctxt then [] else prt_ctxt @ [Pretty.str ""]) @
wenzelm@42717
   367
    (if verbose orelse mode = Forward then
wenzelm@39051
   368
       pretty_facts "" ctxt facts @ prt_goal (try find_goal state)
wenzelm@39051
   369
     else if mode = Chain then pretty_facts "picking " ctxt facts
wenzelm@17359
   370
     else prt_goal (try find_goal state))
wenzelm@17359
   371
  end;
wenzelm@5820
   372
wenzelm@5820
   373
wenzelm@5820
   374
wenzelm@5820
   375
(** proof steps **)
wenzelm@5820
   376
wenzelm@17359
   377
(* refine via method *)
wenzelm@5820
   378
wenzelm@8234
   379
local
wenzelm@8234
   380
wenzelm@16146
   381
fun goalN i = "goal" ^ string_of_int i;
wenzelm@16146
   382
fun goals st = map goalN (1 upto Thm.nprems_of st);
wenzelm@16146
   383
wenzelm@16146
   384
fun no_goal_cases st = map (rpair NONE) (goals st);
wenzelm@16146
   385
wenzelm@16146
   386
fun goal_cases st =
wenzelm@47815
   387
  Rule_Cases.make_common
wenzelm@47815
   388
    (Thm.theory_of_thm st, Thm.prop_of st) (map (rpair [] o rpair []) (goals st));
wenzelm@16146
   389
wenzelm@32193
   390
fun apply_method current_context meth state =
wenzelm@6848
   391
  let
wenzelm@24556
   392
    val (goal_ctxt, (_, {statement, messages = _, using, goal, before_qed, after_qed})) =
wenzelm@24543
   393
      find_goal state;
wenzelm@25958
   394
    val ctxt = if current_context then context_of state else goal_ctxt;
wenzelm@16146
   395
  in
wenzelm@32193
   396
    Method.apply meth ctxt using goal |> Seq.map (fn (meth_cases, goal') =>
wenzelm@6848
   397
      state
wenzelm@16146
   398
      |> map_goal
wenzelm@42360
   399
          (Proof_Context.add_cases false (no_goal_cases goal @ goal_cases goal') #>
wenzelm@42360
   400
           Proof_Context.add_cases true meth_cases)
wenzelm@47431
   401
          (K (statement, [], using, goal', before_qed, after_qed)) I)
wenzelm@16146
   402
  end;
wenzelm@5820
   403
wenzelm@19188
   404
fun select_goals n meth state =
wenzelm@19224
   405
  state
wenzelm@19224
   406
  |> (#2 o #2 o get_goal)
wenzelm@21687
   407
  |> ALLGOALS Goal.conjunction_tac
wenzelm@19224
   408
  |> Seq.maps (fn goal =>
wenzelm@19188
   409
    state
wenzelm@47068
   410
    |> Seq.lift provide_goal (Goal.extract 1 n goal |> Seq.maps (Goal.conjunction_tac 1))
wenzelm@19188
   411
    |> Seq.maps meth
wenzelm@19188
   412
    |> Seq.maps (fn state' => state'
wenzelm@47068
   413
      |> Seq.lift provide_goal (Goal.retrofit 1 n (#2 (#2 (get_goal state'))) goal))
wenzelm@32193
   414
    |> Seq.maps (apply_method true (K Method.succeed)));
wenzelm@19188
   415
wenzelm@17112
   416
fun apply_text cc text state =
wenzelm@17112
   417
  let
wenzelm@17112
   418
    val thy = theory_of state;
wenzelm@17112
   419
wenzelm@32193
   420
    fun eval (Method.Basic m) = apply_method cc m
wenzelm@32193
   421
      | eval (Method.Source src) = apply_method cc (Method.method thy src)
wenzelm@32193
   422
      | eval (Method.Source_i src) = apply_method cc (Method.method_i thy src)
wenzelm@17112
   423
      | eval (Method.Then txts) = Seq.EVERY (map eval txts)
wenzelm@17112
   424
      | eval (Method.Orelse txts) = Seq.FIRST (map eval txts)
wenzelm@17112
   425
      | eval (Method.Try txt) = Seq.TRY (eval txt)
wenzelm@19188
   426
      | eval (Method.Repeat1 txt) = Seq.REPEAT1 (eval txt)
wenzelm@19188
   427
      | eval (Method.SelectGoals (n, txt)) = select_goals n (eval txt);
wenzelm@17112
   428
  in eval text state end;
wenzelm@17112
   429
wenzelm@8234
   430
in
wenzelm@8234
   431
wenzelm@17112
   432
val refine = apply_text true;
wenzelm@17112
   433
val refine_end = apply_text false;
wenzelm@32856
   434
fun refine_insert ths = Seq.hd o refine (Method.Basic (K (Method.insert ths)));
wenzelm@18908
   435
wenzelm@8234
   436
end;
wenzelm@8234
   437
wenzelm@5820
   438
wenzelm@17359
   439
(* refine via sub-proof *)
wenzelm@17359
   440
wenzelm@46466
   441
local
wenzelm@46466
   442
wenzelm@30557
   443
fun finish_tac 0 = K all_tac
wenzelm@30557
   444
  | finish_tac n =
wenzelm@30557
   445
      Goal.norm_hhf_tac THEN'
wenzelm@30557
   446
      SUBGOAL (fn (goal, i) =>
wenzelm@30557
   447
        if can Logic.unprotect (Logic.strip_assums_concl goal) then
wenzelm@30557
   448
          Tactic.etac Drule.protectI i THEN finish_tac (n - 1) i
wenzelm@30557
   449
        else finish_tac (n - 1) (i + 1));
wenzelm@30557
   450
wenzelm@20208
   451
fun goal_tac rule =
wenzelm@30557
   452
  Goal.norm_hhf_tac THEN'
wenzelm@30557
   453
  Tactic.rtac rule THEN'
wenzelm@30557
   454
  finish_tac (Thm.nprems_of rule);
wenzelm@11816
   455
wenzelm@46466
   456
fun FINDGOAL tac st =
wenzelm@46466
   457
  let fun find i n = if i > n then Seq.fail else Seq.APPEND (tac i, find (i + 1) n)
wenzelm@46466
   458
  in find 1 (Thm.nprems_of st) st end;
wenzelm@46466
   459
wenzelm@46466
   460
in
wenzelm@46466
   461
wenzelm@19915
   462
fun refine_goals print_rule inner raw_rules state =
wenzelm@19915
   463
  let
wenzelm@19915
   464
    val (outer, (_, goal)) = get_goal state;
wenzelm@20208
   465
    fun refine rule st = (print_rule outer rule; FINDGOAL (goal_tac rule) st);
wenzelm@19915
   466
  in
wenzelm@19915
   467
    raw_rules
wenzelm@42360
   468
    |> Proof_Context.goal_export inner outer
wenzelm@47068
   469
    |> (fn rules => Seq.lift provide_goal (EVERY (map refine rules) goal) state)
wenzelm@19915
   470
  end;
wenzelm@17359
   471
wenzelm@46466
   472
end;
wenzelm@46466
   473
wenzelm@6932
   474
wenzelm@49846
   475
(* conclude goal *)
wenzelm@49846
   476
wenzelm@28627
   477
fun conclude_goal ctxt goal propss =
wenzelm@5820
   478
  let
wenzelm@42360
   479
    val thy = Proof_Context.theory_of ctxt;
wenzelm@24920
   480
    val string_of_term = Syntax.string_of_term ctxt;
wenzelm@32091
   481
    val string_of_thm = Display.string_of_thm ctxt;
wenzelm@5820
   482
wenzelm@49860
   483
    val _ = Thm.no_prems goal orelse error (Proof_Display.string_of_goal ctxt goal);
wenzelm@20224
   484
wenzelm@20224
   485
    val extra_hyps = Assumption.extra_hyps ctxt goal;
wenzelm@20224
   486
    val _ = null extra_hyps orelse
wenzelm@20224
   487
      error ("Additional hypotheses:\n" ^ cat_lines (map string_of_term extra_hyps));
wenzelm@5820
   488
wenzelm@23418
   489
    fun lost_structure () = error ("Lost goal structure:\n" ^ string_of_thm goal);
wenzelm@23418
   490
berghofe@23782
   491
    val th = Goal.conclude
wenzelm@23806
   492
      (if length (flat propss) > 1 then Thm.norm_proof goal else goal)
berghofe@23782
   493
      handle THM _ => lost_structure ();
wenzelm@23418
   494
    val goal_propss = filter_out null propss;
wenzelm@23418
   495
    val results =
wenzelm@23418
   496
      Conjunction.elim_balanced (length goal_propss) th
wenzelm@23418
   497
      |> map2 Conjunction.elim_balanced (map length goal_propss)
wenzelm@23418
   498
      handle THM _ => lost_structure ();
wenzelm@23418
   499
    val _ = Unify.matches_list thy (flat goal_propss) (map Thm.prop_of (flat results)) orelse
wenzelm@19774
   500
      error ("Proved a different theorem:\n" ^ string_of_thm th);
wenzelm@28627
   501
    val _ = Thm.check_shyps (Variable.sorts_of ctxt) th;
wenzelm@23418
   502
wenzelm@23418
   503
    fun recover_result ([] :: pss) thss = [] :: recover_result pss thss
wenzelm@23418
   504
      | recover_result (_ :: pss) (ths :: thss) = ths :: recover_result pss thss
wenzelm@23418
   505
      | recover_result [] [] = []
wenzelm@23418
   506
      | recover_result _ _ = lost_structure ();
wenzelm@23418
   507
  in recover_result propss results end;
wenzelm@5820
   508
wenzelm@49859
   509
val finished_goal_error = "Failed to finish proof";
wenzelm@49859
   510
wenzelm@49859
   511
fun finished_goal state =
wenzelm@49859
   512
  let val (ctxt, (_, goal)) = get_goal state in
wenzelm@49859
   513
    if Thm.no_prems goal then Seq.Result state
wenzelm@49860
   514
    else Seq.Error (fn () => finished_goal_error ^ ":\n" ^ Proof_Display.string_of_goal ctxt goal)
wenzelm@49859
   515
  end;
wenzelm@49846
   516
wenzelm@5820
   517
wenzelm@33288
   518
(* goal views -- corresponding to methods *)
wenzelm@33288
   519
wenzelm@33288
   520
fun raw_goal state =
wenzelm@33288
   521
  let val (ctxt, (facts, goal)) = get_goal state
wenzelm@33288
   522
  in {context = ctxt, facts = facts, goal = goal} end;
wenzelm@33288
   523
wenzelm@33288
   524
val goal = raw_goal o refine_insert [];
wenzelm@33288
   525
wenzelm@33288
   526
fun simple_goal state =
wenzelm@33288
   527
  let
wenzelm@33288
   528
    val (_, (facts, _)) = get_goal state;
wenzelm@33288
   529
    val (ctxt, (_, goal)) = get_goal (refine_insert facts state);
wenzelm@33288
   530
  in {context = ctxt, goal = goal} end;
wenzelm@33288
   531
wenzelm@38721
   532
fun status_markup state =
wenzelm@38721
   533
  (case try goal state of
wenzelm@45666
   534
    SOME {goal, ...} => Isabelle_Markup.proof_state (Thm.nprems_of goal)
wenzelm@38721
   535
  | NONE => Markup.empty);
wenzelm@38721
   536
wenzelm@49866
   537
fun method_error kind pos state =
wenzelm@49866
   538
  Seq.single (Proof_Display.method_error kind pos (raw_goal state));
wenzelm@49861
   539
wenzelm@33288
   540
wenzelm@5820
   541
wenzelm@5820
   542
(*** structured proof commands ***)
wenzelm@5820
   543
wenzelm@17112
   544
(** context elements **)
wenzelm@5820
   545
wenzelm@36324
   546
(* let bindings *)
wenzelm@5820
   547
wenzelm@16813
   548
local
wenzelm@16813
   549
wenzelm@17359
   550
fun gen_bind bind args state =
wenzelm@5820
   551
  state
wenzelm@5820
   552
  |> assert_forward
wenzelm@36324
   553
  |> map_context (bind true args #> snd)
wenzelm@47068
   554
  |> reset_facts;
wenzelm@5820
   555
wenzelm@16813
   556
in
wenzelm@16813
   557
wenzelm@42360
   558
val let_bind = gen_bind Proof_Context.match_bind_i;
wenzelm@42360
   559
val let_bind_cmd = gen_bind Proof_Context.match_bind;
wenzelm@5820
   560
wenzelm@16813
   561
end;
wenzelm@16813
   562
wenzelm@5820
   563
wenzelm@36505
   564
(* concrete syntax *)
wenzelm@36505
   565
wenzelm@36505
   566
local
wenzelm@36505
   567
wenzelm@36507
   568
fun gen_write prep_arg mode args =
wenzelm@36507
   569
  assert_forward
wenzelm@42360
   570
  #> map_context (fn ctxt => ctxt |> Proof_Context.notation true mode (map (prep_arg ctxt) args))
wenzelm@47068
   571
  #> reset_facts;
wenzelm@36505
   572
wenzelm@36505
   573
in
wenzelm@36505
   574
wenzelm@36505
   575
val write = gen_write (K I);
wenzelm@36505
   576
wenzelm@36505
   577
val write_cmd =
wenzelm@36505
   578
  gen_write (fn ctxt => fn (c, mx) =>
wenzelm@42360
   579
    (Proof_Context.read_const ctxt false (Mixfix.mixfixT mx) c, mx));
wenzelm@36505
   580
wenzelm@36505
   581
end;
wenzelm@36505
   582
wenzelm@36505
   583
wenzelm@17359
   584
(* fix *)
wenzelm@9196
   585
wenzelm@12714
   586
local
wenzelm@12714
   587
wenzelm@30763
   588
fun gen_fix prep_vars args =
wenzelm@17359
   589
  assert_forward
wenzelm@45597
   590
  #> map_context (fn ctxt => snd (Proof_Context.add_fixes (fst (prep_vars args ctxt)) ctxt))
wenzelm@47068
   591
  #> reset_facts;
wenzelm@5820
   592
wenzelm@16813
   593
in
wenzelm@16813
   594
wenzelm@45597
   595
val fix = gen_fix Proof_Context.cert_vars;
wenzelm@45597
   596
val fix_cmd = gen_fix Proof_Context.read_vars;
wenzelm@5820
   597
wenzelm@16813
   598
end;
wenzelm@16813
   599
wenzelm@5820
   600
wenzelm@17359
   601
(* assume etc. *)
wenzelm@5820
   602
wenzelm@16813
   603
local
wenzelm@16813
   604
wenzelm@17112
   605
fun gen_assume asm prep_att exp args state =
wenzelm@5820
   606
  state
wenzelm@5820
   607
  |> assert_forward
wenzelm@47815
   608
  |> map_context_result (asm exp (Attrib.map_specs (map (prep_att (context_of state))) args))
wenzelm@17359
   609
  |> these_factss [] |> #2;
wenzelm@6932
   610
wenzelm@16813
   611
in
wenzelm@16813
   612
wenzelm@42360
   613
val assm = gen_assume Proof_Context.add_assms_i (K I);
wenzelm@47815
   614
val assm_cmd = gen_assume Proof_Context.add_assms Attrib.attribute_cmd;
wenzelm@36323
   615
val assume = assm Assumption.assume_export;
wenzelm@36323
   616
val assume_cmd = assm_cmd Assumption.assume_export;
wenzelm@36323
   617
val presume = assm Assumption.presume_export;
wenzelm@36323
   618
val presume_cmd = assm_cmd Assumption.presume_export;
wenzelm@5820
   619
wenzelm@16813
   620
end;
wenzelm@16813
   621
wenzelm@7271
   622
wenzelm@17359
   623
(* def *)
wenzelm@11891
   624
wenzelm@16813
   625
local
wenzelm@16813
   626
wenzelm@20913
   627
fun gen_def prep_att prep_vars prep_binds args state =
wenzelm@11891
   628
  let
wenzelm@11891
   629
    val _ = assert_forward state;
wenzelm@20913
   630
    val (raw_name_atts, (raw_vars, raw_rhss)) = args |> split_list ||> split_list;
wenzelm@47815
   631
    val name_atts = map (apsnd (map (prep_att (context_of state)))) raw_name_atts;
wenzelm@11891
   632
  in
wenzelm@20913
   633
    state
wenzelm@20913
   634
    |> map_context_result (prep_vars (map (fn (x, mx) => (x, NONE, mx)) raw_vars))
wenzelm@20913
   635
    |>> map (fn (x, _, mx) => (x, mx))
wenzelm@20913
   636
    |-> (fn vars =>
wenzelm@20913
   637
      map_context_result (prep_binds false (map swap raw_rhss))
wenzelm@49748
   638
      #-> (fn rhss =>
wenzelm@49748
   639
        let
wenzelm@49748
   640
          val defs = (vars ~~ (name_atts ~~ rhss)) |> map (fn ((x, mx), ((a, atts), rhs)) =>
wenzelm@49748
   641
            ((x, mx), ((Thm.def_binding_optional x a, atts), rhs)));
wenzelm@49748
   642
        in map_context_result (Local_Defs.add_defs defs) end))
wenzelm@47068
   643
    |-> (set_facts o map (#2 o #2))
wenzelm@11891
   644
  end;
wenzelm@11891
   645
wenzelm@16813
   646
in
wenzelm@16813
   647
wenzelm@42360
   648
val def = gen_def (K I) Proof_Context.cert_vars Proof_Context.match_bind_i;
wenzelm@47815
   649
val def_cmd = gen_def Attrib.attribute_cmd Proof_Context.read_vars Proof_Context.match_bind;
wenzelm@11891
   650
wenzelm@16813
   651
end;
wenzelm@16813
   652
wenzelm@11891
   653
wenzelm@8374
   654
wenzelm@17112
   655
(** facts **)
wenzelm@5820
   656
wenzelm@17359
   657
(* chain *)
wenzelm@5820
   658
wenzelm@24011
   659
fun clean_facts ctxt =
wenzelm@47068
   660
  set_facts (filter_out Thm.is_dummy (the_facts ctxt)) ctxt;
wenzelm@24011
   661
wenzelm@17359
   662
val chain =
wenzelm@17359
   663
  assert_forward
wenzelm@24011
   664
  #> clean_facts
wenzelm@17359
   665
  #> enter_chain;
wenzelm@5820
   666
wenzelm@17359
   667
fun chain_facts facts =
wenzelm@47068
   668
  set_facts facts
wenzelm@17359
   669
  #> chain;
wenzelm@5820
   670
wenzelm@5820
   671
wenzelm@17359
   672
(* note etc. *)
wenzelm@17112
   673
haftmann@28965
   674
fun no_binding args = map (pair (Binding.empty, [])) args;
wenzelm@17112
   675
wenzelm@17112
   676
local
wenzelm@17112
   677
wenzelm@30760
   678
fun gen_thmss more_facts opt_chain opt_result prep_atts prep_fact args state =
wenzelm@17112
   679
  state
wenzelm@17112
   680
  |> assert_forward
wenzelm@47815
   681
  |> map_context_result (fn ctxt => ctxt |> Proof_Context.note_thmss ""
wenzelm@47815
   682
    (Attrib.map_facts_refs (map (prep_atts ctxt)) (prep_fact ctxt) args))
wenzelm@17112
   683
  |> these_factss (more_facts state)
wenzelm@17359
   684
  ||> opt_chain
wenzelm@17359
   685
  |> opt_result;
wenzelm@17112
   686
wenzelm@17112
   687
in
wenzelm@17112
   688
wenzelm@36323
   689
val note_thmss = gen_thmss (K []) I #2 (K I) (K I);
wenzelm@47815
   690
val note_thmss_cmd = gen_thmss (K []) I #2 Attrib.attribute_cmd Proof_Context.get_fact;
wenzelm@17112
   691
wenzelm@36323
   692
val from_thmss = gen_thmss (K []) chain #2 (K I) (K I) o no_binding;
wenzelm@47815
   693
val from_thmss_cmd =
wenzelm@47815
   694
  gen_thmss (K []) chain #2 Attrib.attribute_cmd Proof_Context.get_fact o no_binding;
wenzelm@17359
   695
wenzelm@36323
   696
val with_thmss = gen_thmss the_facts chain #2 (K I) (K I) o no_binding;
wenzelm@47815
   697
val with_thmss_cmd =
wenzelm@47815
   698
  gen_thmss the_facts chain #2 Attrib.attribute_cmd Proof_Context.get_fact o no_binding;
wenzelm@30760
   699
wenzelm@30760
   700
val local_results = gen_thmss (K []) I I (K I) (K I) o map (apsnd Thm.simple_fact);
wenzelm@17359
   701
wenzelm@17112
   702
end;
wenzelm@17112
   703
wenzelm@17112
   704
wenzelm@18548
   705
(* using/unfolding *)
wenzelm@17112
   706
wenzelm@17112
   707
local
wenzelm@17112
   708
wenzelm@45390
   709
fun gen_using f g prep_att prep_fact args state =
wenzelm@17112
   710
  state
wenzelm@17112
   711
  |> assert_backward
wenzelm@21442
   712
  |> map_context_result
wenzelm@47815
   713
    (fn ctxt => ctxt |> Proof_Context.note_thmss ""
wenzelm@47815
   714
      (Attrib.map_facts_refs (map (prep_att ctxt)) (prep_fact ctxt) (no_binding args)))
wenzelm@18843
   715
  |> (fn (named_facts, state') =>
wenzelm@24556
   716
    state' |> map_goal I (fn (statement, _, using, goal, before_qed, after_qed) =>
wenzelm@18843
   717
      let
wenzelm@18843
   718
        val ctxt = context_of state';
wenzelm@19482
   719
        val ths = maps snd named_facts;
wenzelm@47431
   720
      in (statement, [], f ctxt ths using, g ctxt ths goal, before_qed, after_qed) end) I);
wenzelm@18548
   721
wenzelm@24050
   722
fun append_using _ ths using = using @ filter_out Thm.is_dummy ths;
wenzelm@35624
   723
fun unfold_using ctxt ths = map (Local_Defs.unfold ctxt ths);
wenzelm@35624
   724
val unfold_goals = Local_Defs.unfold_goals;
wenzelm@17112
   725
wenzelm@17112
   726
in
wenzelm@17112
   727
wenzelm@36323
   728
val using = gen_using append_using (K (K I)) (K I) (K I);
wenzelm@47815
   729
val using_cmd = gen_using append_using (K (K I)) Attrib.attribute_cmd Proof_Context.get_fact;
wenzelm@36323
   730
val unfolding = gen_using unfold_using unfold_goals (K I) (K I);
wenzelm@47815
   731
val unfolding_cmd = gen_using unfold_using unfold_goals Attrib.attribute_cmd Proof_Context.get_fact;
wenzelm@17112
   732
wenzelm@17112
   733
end;
wenzelm@17112
   734
wenzelm@17112
   735
wenzelm@17112
   736
(* case *)
wenzelm@17112
   737
wenzelm@17112
   738
local
wenzelm@17112
   739
wenzelm@30419
   740
fun qualified_binding a =
wenzelm@30419
   741
  Binding.qualify true (Long_Name.qualifier a) (Binding.name (Long_Name.base_name a));
wenzelm@30419
   742
wenzelm@17112
   743
fun gen_invoke_case prep_att (name, xs, raw_atts) state =
wenzelm@17112
   744
  let
wenzelm@47815
   745
    val atts = map (prep_att (context_of state)) raw_atts;
wenzelm@19078
   746
    val (asms, state') = state |> map_context_result (fn ctxt =>
wenzelm@42360
   747
      ctxt |> Proof_Context.apply_case (Proof_Context.get_case ctxt name xs));
wenzelm@30419
   748
    val assumptions = asms |> map (fn (a, ts) => ((qualified_binding a, atts), map (rpair []) ts));
wenzelm@17112
   749
  in
wenzelm@17112
   750
    state'
wenzelm@36323
   751
    |> assume assumptions
wenzelm@33386
   752
    |> bind_terms Auto_Bind.no_facts
wenzelm@36323
   753
    |> `the_facts |-> (fn thms => note_thmss [((Binding.name name, []), [(thms, [])])])
wenzelm@17112
   754
  end;
wenzelm@17112
   755
wenzelm@17112
   756
in
wenzelm@17112
   757
wenzelm@36323
   758
val invoke_case = gen_invoke_case (K I);
wenzelm@47815
   759
val invoke_case_cmd = gen_invoke_case Attrib.attribute_cmd;
wenzelm@17112
   760
wenzelm@17112
   761
end;
wenzelm@17112
   762
wenzelm@17112
   763
wenzelm@17112
   764
wenzelm@17359
   765
(** proof structure **)
wenzelm@17359
   766
wenzelm@17359
   767
(* blocks *)
wenzelm@17359
   768
wenzelm@17359
   769
val begin_block =
wenzelm@17359
   770
  assert_forward
wenzelm@17359
   771
  #> open_block
wenzelm@47068
   772
  #> reset_goal
wenzelm@17359
   773
  #> open_block;
wenzelm@17359
   774
wenzelm@17359
   775
val next_block =
wenzelm@17359
   776
  assert_forward
wenzelm@17359
   777
  #> close_block
wenzelm@17359
   778
  #> open_block
wenzelm@47068
   779
  #> reset_goal
wenzelm@47068
   780
  #> reset_facts;
wenzelm@17359
   781
wenzelm@17359
   782
fun end_block state =
wenzelm@17359
   783
  state
wenzelm@17359
   784
  |> assert_forward
wenzelm@40960
   785
  |> assert_bottom false
wenzelm@17359
   786
  |> close_block
wenzelm@17359
   787
  |> assert_current_goal false
wenzelm@17359
   788
  |> close_block
wenzelm@17359
   789
  |> export_facts state;
wenzelm@17359
   790
wenzelm@17359
   791
wenzelm@40960
   792
(* global notepad *)
wenzelm@40960
   793
wenzelm@40960
   794
val begin_notepad =
wenzelm@40960
   795
  init
wenzelm@40960
   796
  #> open_block
wenzelm@40960
   797
  #> map_context (Variable.set_body true)
wenzelm@40960
   798
  #> open_block;
wenzelm@40960
   799
wenzelm@40960
   800
val end_notepad =
wenzelm@40960
   801
  assert_forward
wenzelm@40960
   802
  #> assert_bottom true
wenzelm@40960
   803
  #> close_block
wenzelm@40960
   804
  #> assert_current_goal false
wenzelm@40960
   805
  #> close_block
wenzelm@40960
   806
  #> context_of;
wenzelm@40960
   807
wenzelm@40960
   808
wenzelm@17359
   809
(* sub-proofs *)
wenzelm@17359
   810
wenzelm@17359
   811
fun proof opt_text =
wenzelm@17359
   812
  assert_backward
wenzelm@17859
   813
  #> refine (the_default Method.default_text opt_text)
wenzelm@17359
   814
  #> Seq.map (using_facts [] #> enter_forward);
wenzelm@17359
   815
wenzelm@49866
   816
fun proof_results arg =
wenzelm@49866
   817
  Seq.APPEND (proof (Method.text arg) #> Seq.make_results,
wenzelm@49866
   818
    method_error "initial" (Method.position arg));
wenzelm@49863
   819
wenzelm@49866
   820
fun end_proof bot (arg, immed) =
wenzelm@49861
   821
  Seq.APPEND (fn state =>
wenzelm@49861
   822
    state
wenzelm@49861
   823
    |> assert_forward
wenzelm@49861
   824
    |> assert_bottom bot
wenzelm@49861
   825
    |> close_block
wenzelm@49861
   826
    |> assert_current_goal true
wenzelm@49861
   827
    |> using_facts []
wenzelm@49861
   828
    |> `before_qed |-> (refine o the_default Method.succeed_text)
wenzelm@49866
   829
    |> Seq.maps (refine (Method.finish_text (Method.text arg, immed)))
wenzelm@49866
   830
    |> Seq.make_results, method_error "terminal" (Method.position arg))
wenzelm@49861
   831
  #> Seq.maps_results (Seq.single o finished_goal);
wenzelm@17359
   832
wenzelm@29383
   833
fun check_result msg sq =
wenzelm@29383
   834
  (case Seq.pull sq of
wenzelm@29383
   835
    NONE => error msg
wenzelm@29383
   836
  | SOME (s, _) => s);
wenzelm@29383
   837
wenzelm@17359
   838
wenzelm@17359
   839
(* unstructured refinement *)
wenzelm@17359
   840
wenzelm@49865
   841
fun defer i =
wenzelm@49865
   842
  assert_no_chain #>
wenzelm@49865
   843
  refine (Method.Basic (fn _ => METHOD (fn _ => ASSERT_SUBGOAL defer_tac i))) #> Seq.hd;
wenzelm@49865
   844
wenzelm@49865
   845
fun prefer i =
wenzelm@49865
   846
  assert_no_chain #>
wenzelm@49865
   847
  refine (Method.Basic (fn _ => METHOD (fn _ => ASSERT_SUBGOAL prefer_tac i))) #> Seq.hd;
wenzelm@17359
   848
wenzelm@17359
   849
fun apply text = assert_backward #> refine text #> Seq.map (using_facts []);
wenzelm@49866
   850
wenzelm@17359
   851
fun apply_end text = assert_forward #> refine_end text;
wenzelm@17359
   852
wenzelm@49866
   853
fun apply_results (text, pos) =
wenzelm@49866
   854
  Seq.APPEND (apply text #> Seq.make_results, method_error "" pos);
wenzelm@49866
   855
wenzelm@49866
   856
fun apply_end_results (text, pos) =
wenzelm@49866
   857
  Seq.APPEND (apply_end text #> Seq.make_results, method_error "" pos);
wenzelm@49863
   858
wenzelm@17359
   859
wenzelm@17359
   860
wenzelm@17112
   861
(** goals **)
wenzelm@17112
   862
wenzelm@17359
   863
(* generic goals *)
wenzelm@17359
   864
wenzelm@19774
   865
local
wenzelm@19774
   866
wenzelm@36322
   867
val is_var =
wenzelm@36322
   868
  can (dest_TVar o Logic.dest_type o Logic.dest_term) orf
wenzelm@36322
   869
  can (dest_Var o Logic.dest_term);
wenzelm@36322
   870
wenzelm@36322
   871
fun implicit_vars props =
wenzelm@19846
   872
  let
wenzelm@36354
   873
    val (var_props, _) = take_prefix is_var props;
wenzelm@36322
   874
    val explicit_vars = fold Term.add_vars var_props [];
wenzelm@36322
   875
    val vars = filter_out (member (op =) explicit_vars) (fold Term.add_vars props []);
wenzelm@36322
   876
  in map (Logic.mk_term o Var) vars end;
wenzelm@19774
   877
wenzelm@19774
   878
fun refine_terms n =
wenzelm@30510
   879
  refine (Method.Basic (K (RAW_METHOD
wenzelm@19774
   880
    (K (HEADGOAL (PRECISE_CONJUNCTS n
wenzelm@32193
   881
      (HEADGOAL (CONJUNCTS (ALLGOALS (rtac Drule.termI))))))))))
wenzelm@19774
   882
  #> Seq.hd;
wenzelm@19774
   883
wenzelm@19774
   884
in
wenzelm@17359
   885
wenzelm@17859
   886
fun generic_goal prepp kind before_qed after_qed raw_propp state =
wenzelm@5820
   887
  let
wenzelm@17359
   888
    val thy = theory_of state;
wenzelm@23418
   889
    val cert = Thm.cterm_of thy;
wenzelm@17359
   890
    val chaining = can assert_chain state;
wenzelm@25958
   891
    val pos = Position.thread_data ();
wenzelm@17359
   892
wenzelm@17359
   893
    val ((propss, after_ctxt), goal_state) =
wenzelm@5936
   894
      state
wenzelm@5936
   895
      |> assert_forward_or_chain
wenzelm@5936
   896
      |> enter_forward
wenzelm@17359
   897
      |> open_block
wenzelm@45327
   898
      |> map_context_result (prepp raw_propp);
wenzelm@19482
   899
    val props = flat propss;
wenzelm@15703
   900
wenzelm@36322
   901
    val vars = implicit_vars props;
wenzelm@36322
   902
    val propss' = vars :: propss;
wenzelm@23418
   903
    val goal_propss = filter_out null propss';
wenzelm@29346
   904
    val goal =
wenzelm@29346
   905
      cert (Logic.mk_conjunction_balanced (map Logic.mk_conjunction_balanced goal_propss))
wenzelm@28627
   906
      |> Thm.weaken_sorts (Variable.sorts_of (context_of goal_state));
wenzelm@29346
   907
    val statement = ((kind, pos), propss', Thm.term_of goal);
wenzelm@18124
   908
    val after_qed' = after_qed |>> (fn after_local =>
wenzelm@18124
   909
      fn results => map_context after_ctxt #> after_local results);
wenzelm@5820
   910
  in
wenzelm@17359
   911
    goal_state
wenzelm@21727
   912
    |> map_context (init_context #> Variable.set_body true)
wenzelm@47068
   913
    |> set_goal (make_goal (statement, [], [], Goal.init goal, before_qed, after_qed'))
wenzelm@42360
   914
    |> map_context (Proof_Context.auto_bind_goal props)
wenzelm@21565
   915
    |> chaining ? (`the_facts #-> using_facts)
wenzelm@47068
   916
    |> reset_facts
wenzelm@17359
   917
    |> open_block
wenzelm@47068
   918
    |> reset_goal
wenzelm@5820
   919
    |> enter_backward
wenzelm@23418
   920
    |> not (null vars) ? refine_terms (length goal_propss)
wenzelm@32193
   921
    |> null props ? (refine (Method.Basic Method.assumption) #> Seq.hd)
wenzelm@5820
   922
  end;
wenzelm@5820
   923
wenzelm@29090
   924
fun generic_qed after_ctxt state =
wenzelm@12503
   925
  let
wenzelm@36354
   926
    val (goal_ctxt, {statement = (_, stmt, _), goal, after_qed, ...}) = current_goal state;
wenzelm@8617
   927
    val outer_state = state |> close_block;
wenzelm@8617
   928
    val outer_ctxt = context_of outer_state;
wenzelm@8617
   929
wenzelm@18503
   930
    val props =
wenzelm@19774
   931
      flat (tl stmt)
wenzelm@19915
   932
      |> Variable.exportT_terms goal_ctxt outer_ctxt;
wenzelm@17359
   933
    val results =
wenzelm@28627
   934
      tl (conclude_goal goal_ctxt goal stmt)
wenzelm@42360
   935
      |> burrow (Proof_Context.export goal_ctxt outer_ctxt);
wenzelm@17359
   936
  in
wenzelm@17359
   937
    outer_state
wenzelm@29090
   938
    |> map_context (after_ctxt props)
wenzelm@34239
   939
    |> pair (after_qed, results)
wenzelm@17359
   940
  end;
wenzelm@17359
   941
wenzelm@19774
   942
end;
wenzelm@19774
   943
wenzelm@9469
   944
wenzelm@17359
   945
(* local goals *)
wenzelm@17359
   946
wenzelm@17859
   947
fun local_goal print_results prep_att prepp kind before_qed after_qed stmt state =
wenzelm@17359
   948
  let
wenzelm@21362
   949
    val ((names, attss), propp) =
wenzelm@47815
   950
      Attrib.map_specs (map (prep_att (context_of state))) stmt |> split_list |>> split_list;
wenzelm@17359
   951
wenzelm@18124
   952
    fun after_qed' results =
wenzelm@18808
   953
      local_results ((names ~~ attss) ~~ results)
wenzelm@17359
   954
      #-> (fn res => tap (fn st => print_results (context_of st) ((kind, ""), res) : unit))
wenzelm@18124
   955
      #> after_qed results;
wenzelm@5820
   956
  in
wenzelm@17359
   957
    state
wenzelm@21362
   958
    |> generic_goal prepp kind before_qed (after_qed', K I) propp
wenzelm@19900
   959
    |> tap (Variable.warn_extra_tfrees (context_of state) o context_of)
wenzelm@5820
   960
  end;
wenzelm@5820
   961
wenzelm@49866
   962
fun local_qeds arg =
wenzelm@49866
   963
  end_proof false arg
wenzelm@49859
   964
  #> Seq.map_result (generic_qed Proof_Context.auto_bind_facts #->
wenzelm@49859
   965
    (fn ((after_qed, _), results) => after_qed results));
wenzelm@5820
   966
wenzelm@49866
   967
fun local_qed arg = local_qeds arg #> Seq.the_result finished_goal_error;
wenzelm@29383
   968
wenzelm@5820
   969
wenzelm@17359
   970
(* global goals *)
wenzelm@17359
   971
wenzelm@45327
   972
fun prepp_auto_fixes prepp args =
wenzelm@45327
   973
  prepp args #>
wenzelm@45327
   974
  (fn ((propss, a), ctxt) => ((propss, a), (fold o fold) Variable.auto_fixes propss ctxt));
wenzelm@45327
   975
wenzelm@45327
   976
fun global_goal prepp before_qed after_qed propp =
wenzelm@45327
   977
  init #>
wenzelm@45327
   978
  generic_goal (prepp_auto_fixes prepp) "" before_qed (K I, after_qed) propp;
wenzelm@17359
   979
wenzelm@42360
   980
val theorem = global_goal Proof_Context.bind_propp_schematic_i;
wenzelm@42360
   981
val theorem_cmd = global_goal Proof_Context.bind_propp_schematic;
wenzelm@12065
   982
wenzelm@49866
   983
fun global_qeds arg =
wenzelm@49866
   984
  end_proof true arg
wenzelm@49859
   985
  #> Seq.map_result (generic_qed (K I) #> (fn (((_, after_qed), results), state) =>
wenzelm@49859
   986
    after_qed results (context_of state)));
wenzelm@17112
   987
wenzelm@49866
   988
fun global_qed arg = global_qeds arg #> Seq.the_result finished_goal_error;
wenzelm@12959
   989
wenzelm@5820
   990
wenzelm@17359
   991
(* concluding steps *)
wenzelm@17112
   992
wenzelm@49846
   993
fun terminal_proof qeds initial terminal =
wenzelm@49863
   994
  proof_results (SOME initial) #> Seq.maps_results (qeds terminal)
wenzelm@49863
   995
  #> Seq.the_result "";
wenzelm@49848
   996
wenzelm@29383
   997
fun local_terminal_proof (text, opt_text) = terminal_proof local_qeds text (opt_text, true);
wenzelm@49866
   998
val local_default_proof = local_terminal_proof ((Method.default_text, Position.none), NONE);
wenzelm@49866
   999
val local_immediate_proof = local_terminal_proof ((Method.this_text, Position.none), NONE);
wenzelm@49866
  1000
fun local_skip_proof int = local_terminal_proof ((Method.sorry_text int, Position.none), NONE);
wenzelm@49866
  1001
val local_done_proof = terminal_proof local_qeds (Method.done_text, Position.none) (NONE, false);
wenzelm@17112
  1002
wenzelm@29383
  1003
fun global_terminal_proof (text, opt_text) = terminal_proof global_qeds text (opt_text, true);
wenzelm@49866
  1004
val global_default_proof = global_terminal_proof ((Method.default_text, Position.none), NONE);
wenzelm@49866
  1005
val global_immediate_proof = global_terminal_proof ((Method.this_text, Position.none), NONE);
wenzelm@49866
  1006
fun global_skip_proof int = global_terminal_proof ((Method.sorry_text int, Position.none), NONE);
wenzelm@49866
  1007
val global_done_proof = terminal_proof global_qeds (Method.done_text, Position.none) (NONE, false);
wenzelm@5820
  1008
wenzelm@6896
  1009
wenzelm@17359
  1010
(* common goal statements *)
wenzelm@17359
  1011
wenzelm@17359
  1012
local
wenzelm@17359
  1013
wenzelm@17859
  1014
fun gen_have prep_att prepp before_qed after_qed stmt int =
wenzelm@46728
  1015
  local_goal (Proof_Display.print_results Isabelle_Markup.state int)
wenzelm@46728
  1016
    prep_att prepp "have" before_qed after_qed stmt;
wenzelm@6896
  1017
wenzelm@17859
  1018
fun gen_show prep_att prepp before_qed after_qed stmt int state =
wenzelm@17359
  1019
  let
wenzelm@32738
  1020
    val testing = Unsynchronized.ref false;
wenzelm@32738
  1021
    val rule = Unsynchronized.ref (NONE: thm option);
wenzelm@17359
  1022
    fun fail_msg ctxt =
wenzelm@29383
  1023
      "Local statement will fail to refine any pending goal" ::
wenzelm@33389
  1024
      (case ! rule of NONE => [] | SOME th => [Proof_Display.string_of_rule ctxt "Failed" th])
wenzelm@17359
  1025
      |> cat_lines;
wenzelm@6896
  1026
wenzelm@17359
  1027
    fun print_results ctxt res =
wenzelm@46728
  1028
      if ! testing then ()
wenzelm@46728
  1029
      else Proof_Display.print_results Isabelle_Markup.state int ctxt res;
wenzelm@17359
  1030
    fun print_rule ctxt th =
wenzelm@17359
  1031
      if ! testing then rule := SOME th
wenzelm@41181
  1032
      else if int then
wenzelm@45666
  1033
        writeln
wenzelm@45666
  1034
          (Markup.markup Isabelle_Markup.state (Proof_Display.string_of_rule ctxt "Successful" th))
wenzelm@17359
  1035
      else ();
wenzelm@17359
  1036
    val test_proof =
wenzelm@29383
  1037
      try (local_skip_proof true)
wenzelm@39616
  1038
      |> Unsynchronized.setmp testing true
wenzelm@42042
  1039
      |> Exn.interruptible_capture;
wenzelm@6896
  1040
wenzelm@18124
  1041
    fun after_qed' results =
wenzelm@19482
  1042
      refine_goals print_rule (context_of state) (flat results)
wenzelm@29383
  1043
      #> check_result "Failed to refine any pending goal"
wenzelm@29383
  1044
      #> after_qed results;
wenzelm@17359
  1045
  in
wenzelm@17359
  1046
    state
wenzelm@17859
  1047
    |> local_goal print_results prep_att prepp "show" before_qed after_qed' stmt
wenzelm@21565
  1048
    |> int ? (fn goal_state =>
wenzelm@17359
  1049
      (case test_proof goal_state of
wenzelm@43761
  1050
        Exn.Res (SOME _) => goal_state
wenzelm@43761
  1051
      | Exn.Res NONE => error (fail_msg (context_of goal_state))
wenzelm@42042
  1052
      | Exn.Exn exn => raise Exn.EXCEPTIONS ([exn, ERROR (fail_msg (context_of goal_state))])))
wenzelm@17359
  1053
  end;
wenzelm@17359
  1054
wenzelm@17359
  1055
in
wenzelm@17359
  1056
wenzelm@42360
  1057
val have = gen_have (K I) Proof_Context.bind_propp_i;
wenzelm@47815
  1058
val have_cmd = gen_have Attrib.attribute_cmd Proof_Context.bind_propp;
wenzelm@42360
  1059
val show = gen_show (K I) Proof_Context.bind_propp_i;
wenzelm@47815
  1060
val show_cmd = gen_show Attrib.attribute_cmd Proof_Context.bind_propp;
wenzelm@6896
  1061
wenzelm@5820
  1062
end;
wenzelm@17359
  1063
wenzelm@28410
  1064
wenzelm@29385
  1065
wenzelm@29385
  1066
(** future proofs **)
wenzelm@29385
  1067
wenzelm@29385
  1068
(* relevant proof states *)
wenzelm@29385
  1069
wenzelm@29385
  1070
fun is_schematic t =
wenzelm@29385
  1071
  Term.exists_subterm Term.is_Var t orelse
wenzelm@29385
  1072
  Term.exists_type (Term.exists_subtype Term.is_TVar) t;
wenzelm@29385
  1073
wenzelm@29385
  1074
fun schematic_goal state =
wenzelm@29385
  1075
  let val (_, (_, {statement = (_, _, prop), ...})) = find_goal state
wenzelm@29385
  1076
  in is_schematic prop end;
wenzelm@29385
  1077
wenzelm@29385
  1078
fun is_relevant state =
wenzelm@29385
  1079
  (case try find_goal state of
wenzelm@29385
  1080
    NONE => true
wenzelm@29385
  1081
  | SOME (_, (_, {statement = (_, _, prop), goal, ...})) =>
wenzelm@29385
  1082
      is_schematic prop orelse not (Logic.protect prop aconv Thm.concl_of goal));
wenzelm@29385
  1083
wenzelm@29385
  1084
wenzelm@29385
  1085
(* full proofs *)
wenzelm@28410
  1086
wenzelm@29346
  1087
local
wenzelm@29346
  1088
wenzelm@29385
  1089
fun future_proof done get_context fork_proof state =
wenzelm@28410
  1090
  let
wenzelm@29381
  1091
    val _ = assert_backward state;
wenzelm@28410
  1092
    val (goal_ctxt, (_, goal)) = find_goal state;
wenzelm@32786
  1093
    val {statement as (kind, _, prop), messages, using, goal, before_qed, after_qed} = goal;
wenzelm@47431
  1094
    val goal_tfrees =
wenzelm@47431
  1095
      fold Term.add_tfrees
wenzelm@47431
  1096
        (prop :: map Thm.term_of (Assumption.all_assms_of goal_ctxt)) [];
wenzelm@28410
  1097
wenzelm@29383
  1098
    val _ = is_relevant state andalso error "Cannot fork relevant proof";
wenzelm@29383
  1099
wenzelm@29346
  1100
    val prop' = Logic.protect prop;
wenzelm@29346
  1101
    val statement' = (kind, [[], [prop']], prop');
wenzelm@29346
  1102
    val goal' = Thm.adjust_maxidx_thm (Thm.maxidx_of goal)
wenzelm@29346
  1103
      (Drule.comp_no_flatten (goal, Thm.nprems_of goal) 1 Drule.protectI);
wenzelm@29385
  1104
wenzelm@33386
  1105
    fun after_local' [[th]] = put_thms false (Auto_Bind.thisN, SOME [th]);
wenzelm@42360
  1106
    fun after_global' [[th]] = Proof_Context.put_thms false (Auto_Bind.thisN, SOME [th]);
wenzelm@29385
  1107
    val after_qed' = (after_local', after_global');
wenzelm@42360
  1108
    val this_name = Proof_Context.full_name goal_ctxt (Binding.name Auto_Bind.thisN);
wenzelm@28410
  1109
wenzelm@28973
  1110
    val result_ctxt =
wenzelm@28973
  1111
      state
wenzelm@29385
  1112
      |> map_goal I (K (statement', messages, using, goal', before_qed, after_qed'))
wenzelm@47431
  1113
        (fold (Variable.declare_typ o TFree) goal_tfrees)
wenzelm@29346
  1114
      |> fork_proof;
wenzelm@28973
  1115
wenzelm@29385
  1116
    val future_thm = result_ctxt |> Future.map (fn (_, x) =>
wenzelm@42360
  1117
      Proof_Context.get_fact_single (get_context x) (Facts.named this_name));
wenzelm@32062
  1118
    val finished_goal = Goal.future_result goal_ctxt future_thm prop';
wenzelm@28973
  1119
    val state' =
wenzelm@28973
  1120
      state
wenzelm@47431
  1121
      |> map_goal I (K (statement, messages, using, finished_goal, NONE, after_qed)) I
wenzelm@29385
  1122
      |> done;
wenzelm@28973
  1123
  in (Future.map #1 result_ctxt, state') end;
wenzelm@28410
  1124
wenzelm@29385
  1125
in
wenzelm@29385
  1126
wenzelm@29385
  1127
fun local_future_proof x = future_proof local_done_proof context_of x;
wenzelm@29385
  1128
fun global_future_proof x = future_proof global_done_proof I x;
wenzelm@29385
  1129
wenzelm@17359
  1130
end;
wenzelm@29346
  1131
wenzelm@29385
  1132
wenzelm@29385
  1133
(* terminal proofs *)
wenzelm@29385
  1134
wenzelm@29385
  1135
local
wenzelm@29385
  1136
wenzelm@49012
  1137
fun future_terminal_proof n proof1 proof2 meths int state =
wenzelm@49012
  1138
  if (Goal.future_enabled_level 4 orelse Goal.future_enabled_nested n andalso not int)
wenzelm@49012
  1139
    andalso not (is_relevant state)
wenzelm@49012
  1140
  then
wenzelm@49012
  1141
    snd (proof2 (fn state' =>
wenzelm@49012
  1142
      Goal.fork_name "Proof.future_terminal_proof" (fn () => ((), proof1 meths state'))) state)
wenzelm@49012
  1143
  else proof1 meths state;
wenzelm@29385
  1144
wenzelm@29385
  1145
in
wenzelm@29385
  1146
wenzelm@29385
  1147
fun local_future_terminal_proof x =
wenzelm@49012
  1148
  future_terminal_proof 2 local_terminal_proof local_future_proof x;
wenzelm@29385
  1149
wenzelm@29385
  1150
fun global_future_terminal_proof x =
wenzelm@49012
  1151
  future_terminal_proof 3 global_terminal_proof global_future_proof x;
wenzelm@29350
  1152
wenzelm@29346
  1153
end;
wenzelm@29346
  1154
wenzelm@29385
  1155
end;
wenzelm@29385
  1156