src/Pure/Isar/proof.ML
author wenzelm
Wed Mar 27 16:38:25 2013 +0100 (2013-03-27)
changeset 51553 63327f679cff
parent 51551 88d1d19fb74f
child 51584 98029ceda8ce
permissions -rw-r--r--
more ambitious Goal.skip_proofs: covers Goal.prove forms as well, and do not insist in quick_and_dirty (for the sake of Isabelle/jEdit);
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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_range 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_range -> state -> state Seq.result Seq.seq
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  val apply_end_results: Method.text_range -> 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_range 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_range option * bool -> state -> context
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  val local_terminal_proof: Method.text_range * Method.text_range 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_range * Method.text_range 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 is_relevant: state -> bool
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  val future_proof: (state -> ('a * context) future) -> state -> 'a future * state
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  val local_future_terminal_proof: Method.text_range * Method.text_range option -> bool ->
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    state -> state
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  val global_future_terminal_proof: Method.text_range * Method.text_range 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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   318
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@49867
   341
      [(Pretty.block o Pretty.fbreaks)
wenzelm@49909
   342
        ((if s = "" then Pretty.str "this:"
wenzelm@49909
   343
          else Pretty.block [Pretty.command s, Pretty.brk 1, Pretty.str "this:"]) ::
wenzelm@49909
   344
          map (Display.pretty_thm ctxt) ths),
wenzelm@49909
   345
        Pretty.str ""];
wenzelm@6756
   346
wenzelm@17359
   347
fun pretty_state nr state =
wenzelm@5820
   348
  let
wenzelm@49011
   349
    val {context = ctxt, facts, mode, goal = _} = top state;
wenzelm@42717
   350
    val verbose = Config.get ctxt Proof_Context.verbose;
wenzelm@5820
   351
wenzelm@49860
   352
    fun prt_goal (SOME (_, (_,
wenzelm@29416
   353
      {statement = ((_, pos), _, _), messages, using, goal, before_qed = _, after_qed = _}))) =
wenzelm@49909
   354
          pretty_facts "using" ctxt
wenzelm@17359
   355
            (if mode <> Backward orelse null using then NONE else SOME using) @
wenzelm@49860
   356
          [Proof_Display.pretty_goal_header goal] @ Goal_Display.pretty_goals ctxt goal @
wenzelm@25958
   357
          (map (fn msg => Position.setmp_thread_data pos msg ()) (rev messages))
wenzelm@17359
   358
      | prt_goal NONE = [];
wenzelm@6848
   359
wenzelm@17359
   360
    val prt_ctxt =
wenzelm@42717
   361
      if verbose orelse mode = Forward then Proof_Context.pretty_context ctxt
wenzelm@42360
   362
      else if mode = Backward then Proof_Context.pretty_ctxt ctxt
wenzelm@7575
   363
      else [];
wenzelm@17359
   364
  in
wenzelm@17359
   365
    [Pretty.str ("proof (" ^ mode_name mode ^ "): step " ^ string_of_int nr ^
wenzelm@42717
   366
      (if verbose then ", depth " ^ string_of_int (level state div 2 - 1) else "")),
wenzelm@17359
   367
      Pretty.str ""] @
wenzelm@17359
   368
    (if null prt_ctxt then [] else prt_ctxt @ [Pretty.str ""]) @
wenzelm@42717
   369
    (if verbose orelse mode = Forward then
wenzelm@39051
   370
       pretty_facts "" ctxt facts @ prt_goal (try find_goal state)
wenzelm@49909
   371
     else if mode = Chain then pretty_facts "picking" ctxt facts
wenzelm@17359
   372
     else prt_goal (try find_goal state))
wenzelm@17359
   373
  end;
wenzelm@5820
   374
wenzelm@5820
   375
wenzelm@5820
   376
wenzelm@5820
   377
(** proof steps **)
wenzelm@5820
   378
wenzelm@17359
   379
(* refine via method *)
wenzelm@5820
   380
wenzelm@8234
   381
local
wenzelm@8234
   382
wenzelm@16146
   383
fun goalN i = "goal" ^ string_of_int i;
wenzelm@16146
   384
fun goals st = map goalN (1 upto Thm.nprems_of st);
wenzelm@16146
   385
wenzelm@16146
   386
fun no_goal_cases st = map (rpair NONE) (goals st);
wenzelm@16146
   387
wenzelm@16146
   388
fun goal_cases st =
wenzelm@47815
   389
  Rule_Cases.make_common
wenzelm@47815
   390
    (Thm.theory_of_thm st, Thm.prop_of st) (map (rpair [] o rpair []) (goals st));
wenzelm@16146
   391
wenzelm@32193
   392
fun apply_method current_context meth state =
wenzelm@6848
   393
  let
wenzelm@24556
   394
    val (goal_ctxt, (_, {statement, messages = _, using, goal, before_qed, after_qed})) =
wenzelm@24543
   395
      find_goal state;
wenzelm@25958
   396
    val ctxt = if current_context then context_of state else goal_ctxt;
wenzelm@16146
   397
  in
wenzelm@32193
   398
    Method.apply meth ctxt using goal |> Seq.map (fn (meth_cases, goal') =>
wenzelm@6848
   399
      state
wenzelm@16146
   400
      |> map_goal
wenzelm@42360
   401
          (Proof_Context.add_cases false (no_goal_cases goal @ goal_cases goal') #>
wenzelm@42360
   402
           Proof_Context.add_cases true meth_cases)
wenzelm@47431
   403
          (K (statement, [], using, goal', before_qed, after_qed)) I)
wenzelm@16146
   404
  end;
wenzelm@5820
   405
wenzelm@19188
   406
fun select_goals n meth state =
wenzelm@51383
   407
  ALLGOALS Goal.conjunction_tac (#2 (#2 (get_goal state)))
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@51383
   427
      | eval (Method.Select_Goals (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@49889
   511
fun finished_goal pos 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@49889
   514
    else
wenzelm@49889
   515
      Seq.Error (fn () =>
wenzelm@49889
   516
        finished_goal_error ^ Position.here pos ^ ":\n" ^
wenzelm@49889
   517
          Proof_Display.string_of_goal ctxt goal)
wenzelm@49859
   518
  end;
wenzelm@49846
   519
wenzelm@5820
   520
wenzelm@33288
   521
(* goal views -- corresponding to methods *)
wenzelm@33288
   522
wenzelm@33288
   523
fun raw_goal state =
wenzelm@33288
   524
  let val (ctxt, (facts, goal)) = get_goal state
wenzelm@33288
   525
  in {context = ctxt, facts = facts, goal = goal} end;
wenzelm@33288
   526
wenzelm@33288
   527
val goal = raw_goal o refine_insert [];
wenzelm@33288
   528
wenzelm@33288
   529
fun simple_goal state =
wenzelm@33288
   530
  let
wenzelm@33288
   531
    val (_, (facts, _)) = get_goal state;
wenzelm@33288
   532
    val (ctxt, (_, goal)) = get_goal (refine_insert facts state);
wenzelm@33288
   533
  in {context = ctxt, goal = goal} end;
wenzelm@33288
   534
wenzelm@38721
   535
fun status_markup state =
wenzelm@38721
   536
  (case try goal state of
wenzelm@50201
   537
    SOME {goal, ...} => Markup.proof_state (Thm.nprems_of goal)
wenzelm@38721
   538
  | NONE => Markup.empty);
wenzelm@38721
   539
wenzelm@49866
   540
fun method_error kind pos state =
wenzelm@49866
   541
  Seq.single (Proof_Display.method_error kind pos (raw_goal state));
wenzelm@49861
   542
wenzelm@33288
   543
wenzelm@5820
   544
wenzelm@5820
   545
(*** structured proof commands ***)
wenzelm@5820
   546
wenzelm@17112
   547
(** context elements **)
wenzelm@5820
   548
wenzelm@36324
   549
(* let bindings *)
wenzelm@5820
   550
wenzelm@16813
   551
local
wenzelm@16813
   552
wenzelm@17359
   553
fun gen_bind bind args state =
wenzelm@5820
   554
  state
wenzelm@5820
   555
  |> assert_forward
wenzelm@36324
   556
  |> map_context (bind true args #> snd)
wenzelm@47068
   557
  |> reset_facts;
wenzelm@5820
   558
wenzelm@16813
   559
in
wenzelm@16813
   560
wenzelm@42360
   561
val let_bind = gen_bind Proof_Context.match_bind_i;
wenzelm@42360
   562
val let_bind_cmd = gen_bind Proof_Context.match_bind;
wenzelm@5820
   563
wenzelm@16813
   564
end;
wenzelm@16813
   565
wenzelm@5820
   566
wenzelm@36505
   567
(* concrete syntax *)
wenzelm@36505
   568
wenzelm@36505
   569
local
wenzelm@36505
   570
wenzelm@36507
   571
fun gen_write prep_arg mode args =
wenzelm@36507
   572
  assert_forward
wenzelm@42360
   573
  #> map_context (fn ctxt => ctxt |> Proof_Context.notation true mode (map (prep_arg ctxt) args))
wenzelm@47068
   574
  #> reset_facts;
wenzelm@36505
   575
wenzelm@36505
   576
in
wenzelm@36505
   577
wenzelm@36505
   578
val write = gen_write (K I);
wenzelm@36505
   579
wenzelm@36505
   580
val write_cmd =
wenzelm@36505
   581
  gen_write (fn ctxt => fn (c, mx) =>
wenzelm@42360
   582
    (Proof_Context.read_const ctxt false (Mixfix.mixfixT mx) c, mx));
wenzelm@36505
   583
wenzelm@36505
   584
end;
wenzelm@36505
   585
wenzelm@36505
   586
wenzelm@17359
   587
(* fix *)
wenzelm@9196
   588
wenzelm@12714
   589
local
wenzelm@12714
   590
wenzelm@30763
   591
fun gen_fix prep_vars args =
wenzelm@17359
   592
  assert_forward
wenzelm@45597
   593
  #> map_context (fn ctxt => snd (Proof_Context.add_fixes (fst (prep_vars args ctxt)) ctxt))
wenzelm@47068
   594
  #> reset_facts;
wenzelm@5820
   595
wenzelm@16813
   596
in
wenzelm@16813
   597
wenzelm@45597
   598
val fix = gen_fix Proof_Context.cert_vars;
wenzelm@45597
   599
val fix_cmd = gen_fix Proof_Context.read_vars;
wenzelm@5820
   600
wenzelm@16813
   601
end;
wenzelm@16813
   602
wenzelm@5820
   603
wenzelm@17359
   604
(* assume etc. *)
wenzelm@5820
   605
wenzelm@16813
   606
local
wenzelm@16813
   607
wenzelm@17112
   608
fun gen_assume asm prep_att exp args state =
wenzelm@5820
   609
  state
wenzelm@5820
   610
  |> assert_forward
wenzelm@47815
   611
  |> map_context_result (asm exp (Attrib.map_specs (map (prep_att (context_of state))) args))
wenzelm@17359
   612
  |> these_factss [] |> #2;
wenzelm@6932
   613
wenzelm@16813
   614
in
wenzelm@16813
   615
wenzelm@42360
   616
val assm = gen_assume Proof_Context.add_assms_i (K I);
wenzelm@47815
   617
val assm_cmd = gen_assume Proof_Context.add_assms Attrib.attribute_cmd;
wenzelm@36323
   618
val assume = assm Assumption.assume_export;
wenzelm@36323
   619
val assume_cmd = assm_cmd Assumption.assume_export;
wenzelm@36323
   620
val presume = assm Assumption.presume_export;
wenzelm@36323
   621
val presume_cmd = assm_cmd Assumption.presume_export;
wenzelm@5820
   622
wenzelm@16813
   623
end;
wenzelm@16813
   624
wenzelm@7271
   625
wenzelm@17359
   626
(* def *)
wenzelm@11891
   627
wenzelm@16813
   628
local
wenzelm@16813
   629
wenzelm@20913
   630
fun gen_def prep_att prep_vars prep_binds args state =
wenzelm@11891
   631
  let
wenzelm@11891
   632
    val _ = assert_forward state;
wenzelm@20913
   633
    val (raw_name_atts, (raw_vars, raw_rhss)) = args |> split_list ||> split_list;
wenzelm@47815
   634
    val name_atts = map (apsnd (map (prep_att (context_of state)))) raw_name_atts;
wenzelm@11891
   635
  in
wenzelm@20913
   636
    state
wenzelm@20913
   637
    |> map_context_result (prep_vars (map (fn (x, mx) => (x, NONE, mx)) raw_vars))
wenzelm@20913
   638
    |>> map (fn (x, _, mx) => (x, mx))
wenzelm@20913
   639
    |-> (fn vars =>
wenzelm@20913
   640
      map_context_result (prep_binds false (map swap raw_rhss))
wenzelm@49748
   641
      #-> (fn rhss =>
wenzelm@49748
   642
        let
wenzelm@49748
   643
          val defs = (vars ~~ (name_atts ~~ rhss)) |> map (fn ((x, mx), ((a, atts), rhs)) =>
wenzelm@49748
   644
            ((x, mx), ((Thm.def_binding_optional x a, atts), rhs)));
wenzelm@49748
   645
        in map_context_result (Local_Defs.add_defs defs) end))
wenzelm@47068
   646
    |-> (set_facts o map (#2 o #2))
wenzelm@11891
   647
  end;
wenzelm@11891
   648
wenzelm@16813
   649
in
wenzelm@16813
   650
wenzelm@42360
   651
val def = gen_def (K I) Proof_Context.cert_vars Proof_Context.match_bind_i;
wenzelm@47815
   652
val def_cmd = gen_def Attrib.attribute_cmd Proof_Context.read_vars Proof_Context.match_bind;
wenzelm@11891
   653
wenzelm@16813
   654
end;
wenzelm@16813
   655
wenzelm@11891
   656
wenzelm@8374
   657
wenzelm@17112
   658
(** facts **)
wenzelm@5820
   659
wenzelm@17359
   660
(* chain *)
wenzelm@5820
   661
wenzelm@24011
   662
fun clean_facts ctxt =
wenzelm@47068
   663
  set_facts (filter_out Thm.is_dummy (the_facts ctxt)) ctxt;
wenzelm@24011
   664
wenzelm@17359
   665
val chain =
wenzelm@17359
   666
  assert_forward
wenzelm@24011
   667
  #> clean_facts
wenzelm@17359
   668
  #> enter_chain;
wenzelm@5820
   669
wenzelm@17359
   670
fun chain_facts facts =
wenzelm@47068
   671
  set_facts facts
wenzelm@17359
   672
  #> chain;
wenzelm@5820
   673
wenzelm@5820
   674
wenzelm@17359
   675
(* note etc. *)
wenzelm@17112
   676
haftmann@28965
   677
fun no_binding args = map (pair (Binding.empty, [])) args;
wenzelm@17112
   678
wenzelm@17112
   679
local
wenzelm@17112
   680
wenzelm@30760
   681
fun gen_thmss more_facts opt_chain opt_result prep_atts prep_fact args state =
wenzelm@17112
   682
  state
wenzelm@17112
   683
  |> assert_forward
wenzelm@47815
   684
  |> map_context_result (fn ctxt => ctxt |> Proof_Context.note_thmss ""
wenzelm@47815
   685
    (Attrib.map_facts_refs (map (prep_atts ctxt)) (prep_fact ctxt) args))
wenzelm@17112
   686
  |> these_factss (more_facts state)
wenzelm@17359
   687
  ||> opt_chain
wenzelm@17359
   688
  |> opt_result;
wenzelm@17112
   689
wenzelm@17112
   690
in
wenzelm@17112
   691
wenzelm@36323
   692
val note_thmss = gen_thmss (K []) I #2 (K I) (K I);
wenzelm@47815
   693
val note_thmss_cmd = gen_thmss (K []) I #2 Attrib.attribute_cmd Proof_Context.get_fact;
wenzelm@17112
   694
wenzelm@36323
   695
val from_thmss = gen_thmss (K []) chain #2 (K I) (K I) o no_binding;
wenzelm@47815
   696
val from_thmss_cmd =
wenzelm@47815
   697
  gen_thmss (K []) chain #2 Attrib.attribute_cmd Proof_Context.get_fact o no_binding;
wenzelm@17359
   698
wenzelm@36323
   699
val with_thmss = gen_thmss the_facts chain #2 (K I) (K I) o no_binding;
wenzelm@47815
   700
val with_thmss_cmd =
wenzelm@47815
   701
  gen_thmss the_facts chain #2 Attrib.attribute_cmd Proof_Context.get_fact o no_binding;
wenzelm@30760
   702
wenzelm@30760
   703
val local_results = gen_thmss (K []) I I (K I) (K I) o map (apsnd Thm.simple_fact);
wenzelm@17359
   704
wenzelm@17112
   705
end;
wenzelm@17112
   706
wenzelm@17112
   707
wenzelm@18548
   708
(* using/unfolding *)
wenzelm@17112
   709
wenzelm@17112
   710
local
wenzelm@17112
   711
wenzelm@45390
   712
fun gen_using f g prep_att prep_fact args state =
wenzelm@17112
   713
  state
wenzelm@17112
   714
  |> assert_backward
wenzelm@21442
   715
  |> map_context_result
wenzelm@47815
   716
    (fn ctxt => ctxt |> Proof_Context.note_thmss ""
wenzelm@47815
   717
      (Attrib.map_facts_refs (map (prep_att ctxt)) (prep_fact ctxt) (no_binding args)))
wenzelm@18843
   718
  |> (fn (named_facts, state') =>
wenzelm@24556
   719
    state' |> map_goal I (fn (statement, _, using, goal, before_qed, after_qed) =>
wenzelm@18843
   720
      let
wenzelm@18843
   721
        val ctxt = context_of state';
wenzelm@19482
   722
        val ths = maps snd named_facts;
wenzelm@47431
   723
      in (statement, [], f ctxt ths using, g ctxt ths goal, before_qed, after_qed) end) I);
wenzelm@18548
   724
wenzelm@24050
   725
fun append_using _ ths using = using @ filter_out Thm.is_dummy ths;
wenzelm@35624
   726
fun unfold_using ctxt ths = map (Local_Defs.unfold ctxt ths);
wenzelm@35624
   727
val unfold_goals = Local_Defs.unfold_goals;
wenzelm@17112
   728
wenzelm@17112
   729
in
wenzelm@17112
   730
wenzelm@36323
   731
val using = gen_using append_using (K (K I)) (K I) (K I);
wenzelm@47815
   732
val using_cmd = gen_using append_using (K (K I)) Attrib.attribute_cmd Proof_Context.get_fact;
wenzelm@36323
   733
val unfolding = gen_using unfold_using unfold_goals (K I) (K I);
wenzelm@47815
   734
val unfolding_cmd = gen_using unfold_using unfold_goals Attrib.attribute_cmd Proof_Context.get_fact;
wenzelm@17112
   735
wenzelm@17112
   736
end;
wenzelm@17112
   737
wenzelm@17112
   738
wenzelm@17112
   739
(* case *)
wenzelm@17112
   740
wenzelm@17112
   741
local
wenzelm@17112
   742
wenzelm@30419
   743
fun qualified_binding a =
wenzelm@30419
   744
  Binding.qualify true (Long_Name.qualifier a) (Binding.name (Long_Name.base_name a));
wenzelm@30419
   745
wenzelm@17112
   746
fun gen_invoke_case prep_att (name, xs, raw_atts) state =
wenzelm@17112
   747
  let
wenzelm@47815
   748
    val atts = map (prep_att (context_of state)) raw_atts;
wenzelm@19078
   749
    val (asms, state') = state |> map_context_result (fn ctxt =>
wenzelm@42360
   750
      ctxt |> Proof_Context.apply_case (Proof_Context.get_case ctxt name xs));
wenzelm@30419
   751
    val assumptions = asms |> map (fn (a, ts) => ((qualified_binding a, atts), map (rpair []) ts));
wenzelm@17112
   752
  in
wenzelm@17112
   753
    state'
wenzelm@36323
   754
    |> assume assumptions
wenzelm@33386
   755
    |> bind_terms Auto_Bind.no_facts
wenzelm@36323
   756
    |> `the_facts |-> (fn thms => note_thmss [((Binding.name name, []), [(thms, [])])])
wenzelm@17112
   757
  end;
wenzelm@17112
   758
wenzelm@17112
   759
in
wenzelm@17112
   760
wenzelm@36323
   761
val invoke_case = gen_invoke_case (K I);
wenzelm@47815
   762
val invoke_case_cmd = gen_invoke_case Attrib.attribute_cmd;
wenzelm@17112
   763
wenzelm@17112
   764
end;
wenzelm@17112
   765
wenzelm@17112
   766
wenzelm@17112
   767
wenzelm@17359
   768
(** proof structure **)
wenzelm@17359
   769
wenzelm@17359
   770
(* blocks *)
wenzelm@17359
   771
wenzelm@17359
   772
val begin_block =
wenzelm@17359
   773
  assert_forward
wenzelm@17359
   774
  #> open_block
wenzelm@47068
   775
  #> reset_goal
wenzelm@17359
   776
  #> open_block;
wenzelm@17359
   777
wenzelm@17359
   778
val next_block =
wenzelm@17359
   779
  assert_forward
wenzelm@17359
   780
  #> close_block
wenzelm@17359
   781
  #> open_block
wenzelm@47068
   782
  #> reset_goal
wenzelm@47068
   783
  #> reset_facts;
wenzelm@17359
   784
wenzelm@17359
   785
fun end_block state =
wenzelm@17359
   786
  state
wenzelm@17359
   787
  |> assert_forward
wenzelm@40960
   788
  |> assert_bottom false
wenzelm@17359
   789
  |> close_block
wenzelm@17359
   790
  |> assert_current_goal false
wenzelm@17359
   791
  |> close_block
wenzelm@17359
   792
  |> export_facts state;
wenzelm@17359
   793
wenzelm@17359
   794
wenzelm@40960
   795
(* global notepad *)
wenzelm@40960
   796
wenzelm@40960
   797
val begin_notepad =
wenzelm@40960
   798
  init
wenzelm@40960
   799
  #> open_block
wenzelm@40960
   800
  #> map_context (Variable.set_body true)
wenzelm@40960
   801
  #> open_block;
wenzelm@40960
   802
wenzelm@40960
   803
val end_notepad =
wenzelm@40960
   804
  assert_forward
wenzelm@40960
   805
  #> assert_bottom true
wenzelm@40960
   806
  #> close_block
wenzelm@40960
   807
  #> assert_current_goal false
wenzelm@40960
   808
  #> close_block
wenzelm@40960
   809
  #> context_of;
wenzelm@40960
   810
wenzelm@40960
   811
wenzelm@17359
   812
(* sub-proofs *)
wenzelm@17359
   813
wenzelm@17359
   814
fun proof opt_text =
wenzelm@17359
   815
  assert_backward
wenzelm@17859
   816
  #> refine (the_default Method.default_text opt_text)
wenzelm@17359
   817
  #> Seq.map (using_facts [] #> enter_forward);
wenzelm@17359
   818
wenzelm@49866
   819
fun proof_results arg =
wenzelm@49866
   820
  Seq.APPEND (proof (Method.text arg) #> Seq.make_results,
wenzelm@49866
   821
    method_error "initial" (Method.position arg));
wenzelm@49863
   822
wenzelm@49889
   823
fun end_proof bot (prev_pos, (opt_text, immed)) =
wenzelm@49889
   824
  let
wenzelm@49889
   825
    val (finish_text, terminal_pos, finished_pos) =
wenzelm@49889
   826
      (case opt_text of
wenzelm@49889
   827
        NONE => (Method.finish_text (NONE, immed), Position.none, prev_pos)
wenzelm@50912
   828
      | SOME (text, (pos, end_pos)) =>
wenzelm@50912
   829
          (Method.finish_text (SOME text, immed), Position.set_range (pos, end_pos), end_pos));
wenzelm@49889
   830
  in
wenzelm@49889
   831
    Seq.APPEND (fn state =>
wenzelm@49889
   832
      state
wenzelm@49889
   833
      |> assert_forward
wenzelm@49889
   834
      |> assert_bottom bot
wenzelm@49889
   835
      |> close_block
wenzelm@49889
   836
      |> assert_current_goal true
wenzelm@49889
   837
      |> using_facts []
wenzelm@49889
   838
      |> `before_qed |-> (refine o the_default Method.succeed_text)
wenzelm@49889
   839
      |> Seq.maps (refine finish_text)
wenzelm@49889
   840
      |> Seq.make_results, method_error "terminal" terminal_pos)
wenzelm@49889
   841
    #> Seq.maps_results (Seq.single o finished_goal finished_pos)
wenzelm@49889
   842
  end;
wenzelm@17359
   843
wenzelm@29383
   844
fun check_result msg sq =
wenzelm@29383
   845
  (case Seq.pull sq of
wenzelm@29383
   846
    NONE => error msg
wenzelm@29383
   847
  | SOME (s, _) => s);
wenzelm@29383
   848
wenzelm@17359
   849
wenzelm@17359
   850
(* unstructured refinement *)
wenzelm@17359
   851
wenzelm@49865
   852
fun defer i =
wenzelm@49865
   853
  assert_no_chain #>
wenzelm@49865
   854
  refine (Method.Basic (fn _ => METHOD (fn _ => ASSERT_SUBGOAL defer_tac i))) #> Seq.hd;
wenzelm@49865
   855
wenzelm@49865
   856
fun prefer i =
wenzelm@49865
   857
  assert_no_chain #>
wenzelm@49865
   858
  refine (Method.Basic (fn _ => METHOD (fn _ => ASSERT_SUBGOAL prefer_tac i))) #> Seq.hd;
wenzelm@17359
   859
wenzelm@17359
   860
fun apply text = assert_backward #> refine text #> Seq.map (using_facts []);
wenzelm@49866
   861
wenzelm@17359
   862
fun apply_end text = assert_forward #> refine_end text;
wenzelm@17359
   863
wenzelm@49889
   864
fun apply_results (text, range) =
wenzelm@49889
   865
  Seq.APPEND (apply text #> Seq.make_results, method_error "" (Position.set_range range));
wenzelm@49866
   866
wenzelm@49889
   867
fun apply_end_results (text, range) =
wenzelm@49889
   868
  Seq.APPEND (apply_end text #> Seq.make_results, method_error "" (Position.set_range range));
wenzelm@49863
   869
wenzelm@17359
   870
wenzelm@17359
   871
wenzelm@17112
   872
(** goals **)
wenzelm@17112
   873
wenzelm@17359
   874
(* generic goals *)
wenzelm@17359
   875
wenzelm@19774
   876
local
wenzelm@19774
   877
wenzelm@36322
   878
val is_var =
wenzelm@36322
   879
  can (dest_TVar o Logic.dest_type o Logic.dest_term) orf
wenzelm@36322
   880
  can (dest_Var o Logic.dest_term);
wenzelm@36322
   881
wenzelm@36322
   882
fun implicit_vars props =
wenzelm@19846
   883
  let
wenzelm@36354
   884
    val (var_props, _) = take_prefix is_var props;
wenzelm@36322
   885
    val explicit_vars = fold Term.add_vars var_props [];
wenzelm@36322
   886
    val vars = filter_out (member (op =) explicit_vars) (fold Term.add_vars props []);
wenzelm@36322
   887
  in map (Logic.mk_term o Var) vars end;
wenzelm@19774
   888
wenzelm@19774
   889
fun refine_terms n =
wenzelm@30510
   890
  refine (Method.Basic (K (RAW_METHOD
wenzelm@19774
   891
    (K (HEADGOAL (PRECISE_CONJUNCTS n
wenzelm@32193
   892
      (HEADGOAL (CONJUNCTS (ALLGOALS (rtac Drule.termI))))))))))
wenzelm@19774
   893
  #> Seq.hd;
wenzelm@19774
   894
wenzelm@19774
   895
in
wenzelm@17359
   896
wenzelm@17859
   897
fun generic_goal prepp kind before_qed after_qed raw_propp state =
wenzelm@5820
   898
  let
wenzelm@17359
   899
    val thy = theory_of state;
wenzelm@23418
   900
    val cert = Thm.cterm_of thy;
wenzelm@17359
   901
    val chaining = can assert_chain state;
wenzelm@25958
   902
    val pos = Position.thread_data ();
wenzelm@17359
   903
wenzelm@17359
   904
    val ((propss, after_ctxt), goal_state) =
wenzelm@5936
   905
      state
wenzelm@5936
   906
      |> assert_forward_or_chain
wenzelm@5936
   907
      |> enter_forward
wenzelm@17359
   908
      |> open_block
wenzelm@45327
   909
      |> map_context_result (prepp raw_propp);
wenzelm@19482
   910
    val props = flat propss;
wenzelm@15703
   911
wenzelm@36322
   912
    val vars = implicit_vars props;
wenzelm@36322
   913
    val propss' = vars :: propss;
wenzelm@23418
   914
    val goal_propss = filter_out null propss';
wenzelm@29346
   915
    val goal =
wenzelm@29346
   916
      cert (Logic.mk_conjunction_balanced (map Logic.mk_conjunction_balanced goal_propss))
wenzelm@28627
   917
      |> Thm.weaken_sorts (Variable.sorts_of (context_of goal_state));
wenzelm@29346
   918
    val statement = ((kind, pos), propss', Thm.term_of goal);
wenzelm@18124
   919
    val after_qed' = after_qed |>> (fn after_local =>
wenzelm@18124
   920
      fn results => map_context after_ctxt #> after_local results);
wenzelm@5820
   921
  in
wenzelm@17359
   922
    goal_state
wenzelm@21727
   923
    |> map_context (init_context #> Variable.set_body true)
wenzelm@47068
   924
    |> set_goal (make_goal (statement, [], [], Goal.init goal, before_qed, after_qed'))
wenzelm@42360
   925
    |> map_context (Proof_Context.auto_bind_goal props)
wenzelm@21565
   926
    |> chaining ? (`the_facts #-> using_facts)
wenzelm@47068
   927
    |> reset_facts
wenzelm@17359
   928
    |> open_block
wenzelm@47068
   929
    |> reset_goal
wenzelm@5820
   930
    |> enter_backward
wenzelm@23418
   931
    |> not (null vars) ? refine_terms (length goal_propss)
wenzelm@32193
   932
    |> null props ? (refine (Method.Basic Method.assumption) #> Seq.hd)
wenzelm@5820
   933
  end;
wenzelm@5820
   934
wenzelm@29090
   935
fun generic_qed after_ctxt state =
wenzelm@12503
   936
  let
wenzelm@36354
   937
    val (goal_ctxt, {statement = (_, stmt, _), goal, after_qed, ...}) = current_goal state;
wenzelm@8617
   938
    val outer_state = state |> close_block;
wenzelm@8617
   939
    val outer_ctxt = context_of outer_state;
wenzelm@8617
   940
wenzelm@18503
   941
    val props =
wenzelm@19774
   942
      flat (tl stmt)
wenzelm@19915
   943
      |> Variable.exportT_terms goal_ctxt outer_ctxt;
wenzelm@17359
   944
    val results =
wenzelm@28627
   945
      tl (conclude_goal goal_ctxt goal stmt)
wenzelm@42360
   946
      |> burrow (Proof_Context.export goal_ctxt outer_ctxt);
wenzelm@17359
   947
  in
wenzelm@17359
   948
    outer_state
wenzelm@29090
   949
    |> map_context (after_ctxt props)
wenzelm@34239
   950
    |> pair (after_qed, results)
wenzelm@17359
   951
  end;
wenzelm@17359
   952
wenzelm@19774
   953
end;
wenzelm@19774
   954
wenzelm@9469
   955
wenzelm@17359
   956
(* local goals *)
wenzelm@17359
   957
wenzelm@17859
   958
fun local_goal print_results prep_att prepp kind before_qed after_qed stmt state =
wenzelm@17359
   959
  let
wenzelm@21362
   960
    val ((names, attss), propp) =
wenzelm@47815
   961
      Attrib.map_specs (map (prep_att (context_of state))) stmt |> split_list |>> split_list;
wenzelm@17359
   962
wenzelm@18124
   963
    fun after_qed' results =
wenzelm@18808
   964
      local_results ((names ~~ attss) ~~ results)
wenzelm@17359
   965
      #-> (fn res => tap (fn st => print_results (context_of st) ((kind, ""), res) : unit))
wenzelm@18124
   966
      #> after_qed results;
wenzelm@5820
   967
  in
wenzelm@17359
   968
    state
wenzelm@21362
   969
    |> generic_goal prepp kind before_qed (after_qed', K I) propp
wenzelm@19900
   970
    |> tap (Variable.warn_extra_tfrees (context_of state) o context_of)
wenzelm@5820
   971
  end;
wenzelm@5820
   972
wenzelm@49866
   973
fun local_qeds arg =
wenzelm@49866
   974
  end_proof false arg
wenzelm@49859
   975
  #> Seq.map_result (generic_qed Proof_Context.auto_bind_facts #->
wenzelm@49859
   976
    (fn ((after_qed, _), results) => after_qed results));
wenzelm@5820
   977
wenzelm@49889
   978
fun local_qed arg =
wenzelm@49889
   979
  local_qeds (Position.none, arg) #> Seq.the_result finished_goal_error;
wenzelm@29383
   980
wenzelm@5820
   981
wenzelm@17359
   982
(* global goals *)
wenzelm@17359
   983
wenzelm@45327
   984
fun prepp_auto_fixes prepp args =
wenzelm@45327
   985
  prepp args #>
wenzelm@45327
   986
  (fn ((propss, a), ctxt) => ((propss, a), (fold o fold) Variable.auto_fixes propss ctxt));
wenzelm@45327
   987
wenzelm@45327
   988
fun global_goal prepp before_qed after_qed propp =
wenzelm@45327
   989
  init #>
wenzelm@45327
   990
  generic_goal (prepp_auto_fixes prepp) "" before_qed (K I, after_qed) propp;
wenzelm@17359
   991
wenzelm@42360
   992
val theorem = global_goal Proof_Context.bind_propp_schematic_i;
wenzelm@42360
   993
val theorem_cmd = global_goal Proof_Context.bind_propp_schematic;
wenzelm@12065
   994
wenzelm@49866
   995
fun global_qeds arg =
wenzelm@49866
   996
  end_proof true arg
wenzelm@49859
   997
  #> Seq.map_result (generic_qed (K I) #> (fn (((_, after_qed), results), state) =>
wenzelm@49859
   998
    after_qed results (context_of state)));
wenzelm@17112
   999
wenzelm@49889
  1000
fun global_qed arg =
wenzelm@49889
  1001
  global_qeds (Position.none, arg) #> Seq.the_result finished_goal_error;
wenzelm@12959
  1002
wenzelm@5820
  1003
wenzelm@49907
  1004
(* terminal proof steps *)
wenzelm@17112
  1005
wenzelm@49890
  1006
local
wenzelm@49890
  1007
wenzelm@49846
  1008
fun terminal_proof qeds initial terminal =
wenzelm@49889
  1009
  proof_results (SOME initial) #> Seq.maps_results (qeds (#2 (#2 initial), terminal))
wenzelm@49863
  1010
  #> Seq.the_result "";
wenzelm@49848
  1011
wenzelm@49890
  1012
in
wenzelm@49890
  1013
wenzelm@29383
  1014
fun local_terminal_proof (text, opt_text) = terminal_proof local_qeds text (opt_text, true);
wenzelm@49889
  1015
val local_default_proof = local_terminal_proof ((Method.default_text, Position.no_range), NONE);
wenzelm@49889
  1016
val local_immediate_proof = local_terminal_proof ((Method.this_text, Position.no_range), NONE);
wenzelm@49889
  1017
val local_done_proof = terminal_proof local_qeds (Method.done_text, Position.no_range) (NONE, false);
wenzelm@17112
  1018
wenzelm@29383
  1019
fun global_terminal_proof (text, opt_text) = terminal_proof global_qeds text (opt_text, true);
wenzelm@49889
  1020
val global_default_proof = global_terminal_proof ((Method.default_text, Position.no_range), NONE);
wenzelm@49889
  1021
val global_immediate_proof = global_terminal_proof ((Method.this_text, Position.no_range), NONE);
wenzelm@49889
  1022
val global_done_proof = terminal_proof global_qeds (Method.done_text, Position.no_range) (NONE, false);
wenzelm@5820
  1023
wenzelm@49890
  1024
end;
wenzelm@49890
  1025
wenzelm@6896
  1026
wenzelm@49907
  1027
(* skip proofs *)
wenzelm@49907
  1028
wenzelm@49907
  1029
fun local_skip_proof int state =
wenzelm@49907
  1030
  local_terminal_proof ((Method.sorry_text int, Position.no_range), NONE) state before
wenzelm@51551
  1031
  Skip_Proof.report (context_of state);
wenzelm@49907
  1032
wenzelm@49907
  1033
fun global_skip_proof int state =
wenzelm@49907
  1034
  global_terminal_proof ((Method.sorry_text int, Position.no_range), NONE) state before
wenzelm@51551
  1035
  Skip_Proof.report (context_of state);
wenzelm@49907
  1036
wenzelm@49907
  1037
wenzelm@17359
  1038
(* common goal statements *)
wenzelm@17359
  1039
wenzelm@17359
  1040
local
wenzelm@17359
  1041
wenzelm@17859
  1042
fun gen_have prep_att prepp before_qed after_qed stmt int =
wenzelm@50201
  1043
  local_goal (Proof_Display.print_results Markup.state int)
wenzelm@46728
  1044
    prep_att prepp "have" before_qed after_qed stmt;
wenzelm@6896
  1045
wenzelm@17859
  1046
fun gen_show prep_att prepp before_qed after_qed stmt int state =
wenzelm@17359
  1047
  let
wenzelm@32738
  1048
    val testing = Unsynchronized.ref false;
wenzelm@32738
  1049
    val rule = Unsynchronized.ref (NONE: thm option);
wenzelm@17359
  1050
    fun fail_msg ctxt =
wenzelm@50315
  1051
      "Local statement fails to refine any pending goal" ::
wenzelm@33389
  1052
      (case ! rule of NONE => [] | SOME th => [Proof_Display.string_of_rule ctxt "Failed" th])
wenzelm@17359
  1053
      |> cat_lines;
wenzelm@6896
  1054
wenzelm@17359
  1055
    fun print_results ctxt res =
wenzelm@46728
  1056
      if ! testing then ()
wenzelm@50201
  1057
      else Proof_Display.print_results Markup.state int ctxt res;
wenzelm@17359
  1058
    fun print_rule ctxt th =
wenzelm@17359
  1059
      if ! testing then rule := SOME th
wenzelm@41181
  1060
      else if int then
wenzelm@50201
  1061
        writeln (Markup.markup Markup.state (Proof_Display.string_of_rule ctxt "Successful" th))
wenzelm@17359
  1062
      else ();
wenzelm@17359
  1063
    val test_proof =
wenzelm@50315
  1064
      local_skip_proof true
wenzelm@39616
  1065
      |> Unsynchronized.setmp testing true
wenzelm@42042
  1066
      |> Exn.interruptible_capture;
wenzelm@6896
  1067
wenzelm@18124
  1068
    fun after_qed' results =
wenzelm@19482
  1069
      refine_goals print_rule (context_of state) (flat results)
wenzelm@29383
  1070
      #> check_result "Failed to refine any pending goal"
wenzelm@29383
  1071
      #> after_qed results;
wenzelm@17359
  1072
  in
wenzelm@17359
  1073
    state
wenzelm@17859
  1074
    |> local_goal print_results prep_att prepp "show" before_qed after_qed' stmt
wenzelm@21565
  1075
    |> int ? (fn goal_state =>
wenzelm@49907
  1076
      (case test_proof (map_context (Context_Position.set_visible false) goal_state) of
wenzelm@50315
  1077
        Exn.Res _ => goal_state
wenzelm@42042
  1078
      | Exn.Exn exn => raise Exn.EXCEPTIONS ([exn, ERROR (fail_msg (context_of goal_state))])))
wenzelm@17359
  1079
  end;
wenzelm@17359
  1080
wenzelm@17359
  1081
in
wenzelm@17359
  1082
wenzelm@42360
  1083
val have = gen_have (K I) Proof_Context.bind_propp_i;
wenzelm@47815
  1084
val have_cmd = gen_have Attrib.attribute_cmd Proof_Context.bind_propp;
wenzelm@42360
  1085
val show = gen_show (K I) Proof_Context.bind_propp_i;
wenzelm@47815
  1086
val show_cmd = gen_show Attrib.attribute_cmd Proof_Context.bind_propp;
wenzelm@6896
  1087
wenzelm@5820
  1088
end;
wenzelm@17359
  1089
wenzelm@28410
  1090
wenzelm@29385
  1091
wenzelm@29385
  1092
(** future proofs **)
wenzelm@29385
  1093
wenzelm@29385
  1094
(* relevant proof states *)
wenzelm@29385
  1095
wenzelm@29385
  1096
fun schematic_goal state =
wenzelm@29385
  1097
  let val (_, (_, {statement = (_, _, prop), ...})) = find_goal state
wenzelm@51553
  1098
  in Goal.is_schematic prop end;
wenzelm@29385
  1099
wenzelm@29385
  1100
fun is_relevant state =
wenzelm@29385
  1101
  (case try find_goal state of
wenzelm@29385
  1102
    NONE => true
wenzelm@29385
  1103
  | SOME (_, (_, {statement = (_, _, prop), goal, ...})) =>
wenzelm@51553
  1104
      Goal.is_schematic prop orelse not (Logic.protect prop aconv Thm.concl_of goal));
wenzelm@29385
  1105
wenzelm@29385
  1106
wenzelm@29385
  1107
(* full proofs *)
wenzelm@28410
  1108
wenzelm@29346
  1109
local
wenzelm@29346
  1110
wenzelm@49912
  1111
structure Result = Proof_Data
wenzelm@49912
  1112
(
wenzelm@49912
  1113
  type T = thm option;
wenzelm@49912
  1114
  val empty = NONE;
wenzelm@49912
  1115
  fun init _ = empty;
wenzelm@49912
  1116
);
wenzelm@49912
  1117
wenzelm@49912
  1118
fun the_result ctxt =
wenzelm@49912
  1119
  (case Result.get ctxt of
wenzelm@49912
  1120
    NONE => error "No result of forked proof"
wenzelm@49912
  1121
  | SOME th => th);
wenzelm@49912
  1122
wenzelm@49912
  1123
val set_result = Result.put o SOME;
wenzelm@49912
  1124
val reset_result = Result.put NONE;
wenzelm@49912
  1125
wenzelm@51318
  1126
in
wenzelm@51318
  1127
wenzelm@51318
  1128
fun future_proof fork_proof state =
wenzelm@28410
  1129
  let
wenzelm@29381
  1130
    val _ = assert_backward state;
wenzelm@28410
  1131
    val (goal_ctxt, (_, goal)) = find_goal state;
wenzelm@32786
  1132
    val {statement as (kind, _, prop), messages, using, goal, before_qed, after_qed} = goal;
wenzelm@47431
  1133
    val goal_tfrees =
wenzelm@47431
  1134
      fold Term.add_tfrees
wenzelm@47431
  1135
        (prop :: map Thm.term_of (Assumption.all_assms_of goal_ctxt)) [];
wenzelm@28410
  1136
wenzelm@29383
  1137
    val _ = is_relevant state andalso error "Cannot fork relevant proof";
wenzelm@29383
  1138
wenzelm@29346
  1139
    val prop' = Logic.protect prop;
wenzelm@29346
  1140
    val statement' = (kind, [[], [prop']], prop');
wenzelm@29346
  1141
    val goal' = Thm.adjust_maxidx_thm (Thm.maxidx_of goal)
wenzelm@29346
  1142
      (Drule.comp_no_flatten (goal, Thm.nprems_of goal) 1 Drule.protectI);
wenzelm@49912
  1143
    val after_qed' = (fn [[th]] => map_context (set_result th), fn [[th]] => set_result th);
wenzelm@28410
  1144
wenzelm@28973
  1145
    val result_ctxt =
wenzelm@28973
  1146
      state
wenzelm@49912
  1147
      |> map_context reset_result
wenzelm@29385
  1148
      |> map_goal I (K (statement', messages, using, goal', before_qed, after_qed'))
wenzelm@47431
  1149
        (fold (Variable.declare_typ o TFree) goal_tfrees)
wenzelm@29346
  1150
      |> fork_proof;
wenzelm@28973
  1151
wenzelm@51318
  1152
    val future_thm = Future.map (the_result o snd) result_ctxt;
wenzelm@32062
  1153
    val finished_goal = Goal.future_result goal_ctxt future_thm prop';
wenzelm@28973
  1154
    val state' =
wenzelm@28973
  1155
      state
wenzelm@51318
  1156
      |> map_goal I (K (statement, messages, using, finished_goal, NONE, after_qed)) I;
wenzelm@51318
  1157
  in (Future.map fst result_ctxt, state') end;
wenzelm@29385
  1158
wenzelm@17359
  1159
end;
wenzelm@29346
  1160
wenzelm@29385
  1161
wenzelm@29385
  1162
(* terminal proofs *)
wenzelm@29385
  1163
wenzelm@29385
  1164
local
wenzelm@29385
  1165
wenzelm@51318
  1166
fun future_terminal_proof n proof1 proof2 done int state =
wenzelm@49012
  1167
  if (Goal.future_enabled_level 4 orelse Goal.future_enabled_nested n andalso not int)
wenzelm@49012
  1168
    andalso not (is_relevant state)
wenzelm@49012
  1169
  then
wenzelm@51318
  1170
    state |> future_proof (fn state' =>
wenzelm@51318
  1171
      Goal.fork_name "Proof.future_terminal_proof" ~1
wenzelm@51318
  1172
        (fn () => ((), proof2 state'))) |> snd |> done
wenzelm@51318
  1173
  else proof1 state;
wenzelm@29385
  1174
wenzelm@29385
  1175
in
wenzelm@29385
  1176
wenzelm@51318
  1177
fun local_future_terminal_proof meths =
wenzelm@51332
  1178
  future_terminal_proof 3
wenzelm@51318
  1179
    (local_terminal_proof meths)
wenzelm@51318
  1180
    (local_terminal_proof meths #> context_of) local_done_proof;
wenzelm@29385
  1181
wenzelm@51318
  1182
fun global_future_terminal_proof meths =
wenzelm@51318
  1183
  future_terminal_proof 3
wenzelm@51318
  1184
    (global_terminal_proof meths)
wenzelm@51318
  1185
    (global_terminal_proof meths) global_done_proof;
wenzelm@29350
  1186
wenzelm@29346
  1187
end;
wenzelm@29346
  1188
wenzelm@29385
  1189
end;
wenzelm@29385
  1190