src/Pure/Isar/proof.ML
author wenzelm
Fri May 09 22:04:50 2014 +0200 (2014-05-09)
changeset 56932 11a4001b06c6
parent 56912 293cd4dcfebc
child 56933 b47193851dc6
permissions -rw-r--r--
more position markup to help locating the query context, e.g. from "Info" dockable;
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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_goal_messages: state -> Pretty.T list
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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 * Position.T) * binding option list * attribute list ->
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    state -> state
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  val invoke_case_cmd: (string * Position.T) * binding option list * Attrib.src list ->
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    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;
wenzelm@19188
   320
wenzelm@24543
   321
fun goal_message msg = map_goal I (fn (statement, messages, using, goal, before_qed, after_qed) =>
wenzelm@47431
   322
  (statement, msg :: messages, using, goal, before_qed, after_qed)) I;
wenzelm@24543
   323
wenzelm@24556
   324
fun using_facts using = map_goal I (fn (statement, _, _, goal, before_qed, after_qed) =>
wenzelm@47431
   325
  (statement, [], using, goal, before_qed, after_qed)) I;
wenzelm@17359
   326
wenzelm@17359
   327
local
wenzelm@17359
   328
  fun find i state =
wenzelm@17359
   329
    (case try current_goal state of
wenzelm@17359
   330
      SOME (ctxt, goal) => (ctxt, (i, goal))
wenzelm@18678
   331
    | NONE => find (i + 1) (close_block state handle ERROR _ => error "No goal present"));
wenzelm@17359
   332
in val find_goal = find 0 end;
wenzelm@17359
   333
wenzelm@17359
   334
fun get_goal state =
wenzelm@17359
   335
  let val (ctxt, (_, {using, goal, ...})) = find_goal state
wenzelm@17359
   336
  in (ctxt, (using, goal)) end;
wenzelm@5820
   337
wenzelm@5820
   338
wenzelm@5820
   339
wenzelm@12423
   340
(** pretty_state **)
wenzelm@5820
   341
wenzelm@52641
   342
fun pretty_goal_messages state =
wenzelm@52641
   343
  (case try find_goal state of
wenzelm@52641
   344
    SOME (_, (_, {messages, ...})) => map (fn msg => msg ()) (rev messages)
wenzelm@52641
   345
  | NONE => []);
wenzelm@52641
   346
skalberg@15531
   347
fun pretty_facts _ _ NONE = []
wenzelm@51584
   348
  | pretty_facts ctxt s (SOME ths) = [Proof_Display.pretty_goal_facts ctxt s ths, Pretty.str ""];
wenzelm@6756
   349
wenzelm@17359
   350
fun pretty_state nr state =
wenzelm@5820
   351
  let
wenzelm@49011
   352
    val {context = ctxt, facts, mode, goal = _} = top state;
wenzelm@42717
   353
    val verbose = Config.get ctxt Proof_Context.verbose;
wenzelm@5820
   354
wenzelm@49860
   355
    fun prt_goal (SOME (_, (_,
wenzelm@29416
   356
      {statement = ((_, pos), _, _), messages, using, goal, before_qed = _, after_qed = _}))) =
wenzelm@51584
   357
          pretty_facts ctxt "using"
wenzelm@17359
   358
            (if mode <> Backward orelse null using then NONE else SOME using) @
wenzelm@49860
   359
          [Proof_Display.pretty_goal_header goal] @ Goal_Display.pretty_goals ctxt goal @
wenzelm@25958
   360
          (map (fn msg => Position.setmp_thread_data pos msg ()) (rev messages))
wenzelm@17359
   361
      | prt_goal NONE = [];
wenzelm@6848
   362
wenzelm@17359
   363
    val prt_ctxt =
wenzelm@42717
   364
      if verbose orelse mode = Forward then Proof_Context.pretty_context ctxt
wenzelm@42360
   365
      else if mode = Backward then Proof_Context.pretty_ctxt ctxt
wenzelm@7575
   366
      else [];
wenzelm@56912
   367
wenzelm@56912
   368
    val position_markup = Position.markup (Position.thread_data ()) Markup.position;
wenzelm@17359
   369
  in
wenzelm@56912
   370
    [Pretty.block
wenzelm@56912
   371
      [Pretty.mark_str (position_markup, "proof"),
wenzelm@56912
   372
        Pretty.str (" (" ^ mode_name mode ^ "): depth " ^ string_of_int (level state div 2 - 1))],
wenzelm@17359
   373
      Pretty.str ""] @
wenzelm@17359
   374
    (if null prt_ctxt then [] else prt_ctxt @ [Pretty.str ""]) @
wenzelm@42717
   375
    (if verbose orelse mode = Forward then
wenzelm@51584
   376
       pretty_facts ctxt "" facts @ prt_goal (try find_goal state)
wenzelm@51584
   377
     else if mode = Chain then pretty_facts ctxt "picking" facts
wenzelm@17359
   378
     else prt_goal (try find_goal state))
wenzelm@17359
   379
  end;
wenzelm@5820
   380
wenzelm@5820
   381
wenzelm@5820
   382
wenzelm@5820
   383
(** proof steps **)
wenzelm@5820
   384
wenzelm@17359
   385
(* refine via method *)
wenzelm@5820
   386
wenzelm@8234
   387
local
wenzelm@8234
   388
wenzelm@16146
   389
fun goalN i = "goal" ^ string_of_int i;
wenzelm@16146
   390
fun goals st = map goalN (1 upto Thm.nprems_of st);
wenzelm@16146
   391
wenzelm@16146
   392
fun no_goal_cases st = map (rpair NONE) (goals st);
wenzelm@16146
   393
wenzelm@16146
   394
fun goal_cases st =
wenzelm@47815
   395
  Rule_Cases.make_common
wenzelm@47815
   396
    (Thm.theory_of_thm st, Thm.prop_of st) (map (rpair [] o rpair []) (goals st));
wenzelm@16146
   397
wenzelm@55742
   398
fun apply_method current_context method state =
wenzelm@6848
   399
  let
wenzelm@24556
   400
    val (goal_ctxt, (_, {statement, messages = _, using, goal, before_qed, after_qed})) =
wenzelm@24543
   401
      find_goal state;
wenzelm@25958
   402
    val ctxt = if current_context then context_of state else goal_ctxt;
wenzelm@16146
   403
  in
wenzelm@55742
   404
    Method.apply method ctxt using goal |> Seq.map (fn (meth_cases, goal') =>
wenzelm@6848
   405
      state
wenzelm@16146
   406
      |> map_goal
wenzelm@53378
   407
          (Proof_Context.update_cases false (no_goal_cases goal @ goal_cases goal') #>
wenzelm@53378
   408
           Proof_Context.update_cases true meth_cases)
wenzelm@47431
   409
          (K (statement, [], using, goal', before_qed, after_qed)) I)
wenzelm@16146
   410
  end;
wenzelm@5820
   411
wenzelm@19188
   412
fun select_goals n meth state =
wenzelm@51383
   413
  ALLGOALS Goal.conjunction_tac (#2 (#2 (get_goal state)))
wenzelm@19224
   414
  |> Seq.maps (fn goal =>
wenzelm@19188
   415
    state
wenzelm@52458
   416
    |> Seq.lift provide_goal ((PRIMITIVE (Goal.restrict 1 n) THEN Goal.conjunction_tac 1) goal)
wenzelm@19188
   417
    |> Seq.maps meth
wenzelm@19188
   418
    |> Seq.maps (fn state' => state'
wenzelm@52458
   419
      |> Seq.lift provide_goal (PRIMITIVE (Goal.unrestrict 1) (#2 (#2 (get_goal state')))))
wenzelm@32193
   420
    |> Seq.maps (apply_method true (K Method.succeed)));
wenzelm@19188
   421
wenzelm@55742
   422
fun apply_text current_context text state =
wenzelm@17112
   423
  let
wenzelm@55742
   424
    val ctxt = context_of state;
wenzelm@17112
   425
wenzelm@55742
   426
    fun eval (Method.Basic m) = apply_method current_context m
wenzelm@55997
   427
      | eval (Method.Source src) = apply_method current_context (Method.method_cmd ctxt src)
wenzelm@55765
   428
      | eval (Method.Then (_, txts)) = Seq.EVERY (map eval txts)
wenzelm@55765
   429
      | eval (Method.Orelse (_, txts)) = Seq.FIRST (map eval txts)
wenzelm@55765
   430
      | eval (Method.Try (_, txt)) = Seq.TRY (eval txt)
wenzelm@55765
   431
      | eval (Method.Repeat1 (_, txt)) = Seq.REPEAT1 (eval txt)
wenzelm@55765
   432
      | eval (Method.Select_Goals (_, n, txt)) = select_goals n (eval txt);
wenzelm@17112
   433
  in eval text state end;
wenzelm@17112
   434
wenzelm@8234
   435
in
wenzelm@8234
   436
wenzelm@17112
   437
val refine = apply_text true;
wenzelm@17112
   438
val refine_end = apply_text false;
wenzelm@32856
   439
fun refine_insert ths = Seq.hd o refine (Method.Basic (K (Method.insert ths)));
wenzelm@18908
   440
wenzelm@8234
   441
end;
wenzelm@8234
   442
wenzelm@5820
   443
wenzelm@17359
   444
(* refine via sub-proof *)
wenzelm@17359
   445
wenzelm@46466
   446
local
wenzelm@46466
   447
wenzelm@54742
   448
fun finish_tac _ 0 = K all_tac
wenzelm@54742
   449
  | finish_tac ctxt n =
wenzelm@54742
   450
      Goal.norm_hhf_tac ctxt THEN'
wenzelm@30557
   451
      SUBGOAL (fn (goal, i) =>
wenzelm@30557
   452
        if can Logic.unprotect (Logic.strip_assums_concl goal) then
wenzelm@54742
   453
          etac Drule.protectI i THEN finish_tac ctxt (n - 1) i
wenzelm@54742
   454
        else finish_tac ctxt (n - 1) (i + 1));
wenzelm@30557
   455
wenzelm@54742
   456
fun goal_tac ctxt rule =
wenzelm@54742
   457
  Goal.norm_hhf_tac ctxt THEN'
wenzelm@52732
   458
  rtac rule THEN'
wenzelm@54742
   459
  finish_tac ctxt (Thm.nprems_of rule);
wenzelm@11816
   460
wenzelm@46466
   461
fun FINDGOAL tac st =
wenzelm@46466
   462
  let fun find i n = if i > n then Seq.fail else Seq.APPEND (tac i, find (i + 1) n)
wenzelm@46466
   463
  in find 1 (Thm.nprems_of st) st end;
wenzelm@46466
   464
wenzelm@46466
   465
in
wenzelm@46466
   466
wenzelm@19915
   467
fun refine_goals print_rule inner raw_rules state =
wenzelm@19915
   468
  let
wenzelm@19915
   469
    val (outer, (_, goal)) = get_goal state;
wenzelm@54742
   470
    fun refine rule st = (print_rule outer rule; FINDGOAL (goal_tac outer rule) st);
wenzelm@19915
   471
  in
wenzelm@19915
   472
    raw_rules
wenzelm@42360
   473
    |> Proof_Context.goal_export inner outer
wenzelm@47068
   474
    |> (fn rules => Seq.lift provide_goal (EVERY (map refine rules) goal) state)
wenzelm@19915
   475
  end;
wenzelm@17359
   476
wenzelm@46466
   477
end;
wenzelm@46466
   478
wenzelm@6932
   479
wenzelm@49846
   480
(* conclude goal *)
wenzelm@49846
   481
wenzelm@28627
   482
fun conclude_goal ctxt goal propss =
wenzelm@5820
   483
  let
wenzelm@42360
   484
    val thy = Proof_Context.theory_of ctxt;
wenzelm@5820
   485
wenzelm@54981
   486
    val _ =
wenzelm@54981
   487
      Theory.subthy (theory_of_thm goal, thy) orelse error "Bad background theory of goal state";
wenzelm@49860
   488
    val _ = Thm.no_prems goal orelse error (Proof_Display.string_of_goal ctxt goal);
wenzelm@20224
   489
wenzelm@54567
   490
    fun lost_structure () = error ("Lost goal structure:\n" ^ Display.string_of_thm ctxt goal);
wenzelm@5820
   491
wenzelm@54567
   492
    val th =
wenzelm@54567
   493
      (Goal.conclude (if length (flat propss) > 1 then Thm.norm_proof goal else goal)
wenzelm@54567
   494
        handle THM _ => lost_structure ())
wenzelm@54567
   495
      |> Drule.flexflex_unique
wenzelm@54567
   496
      |> Thm.check_shyps (Variable.sorts_of ctxt)
wenzelm@54993
   497
      |> Thm.check_hyps (Context.Proof ctxt);
wenzelm@23418
   498
wenzelm@23418
   499
    val goal_propss = filter_out null propss;
wenzelm@23418
   500
    val results =
wenzelm@23418
   501
      Conjunction.elim_balanced (length goal_propss) th
wenzelm@23418
   502
      |> map2 Conjunction.elim_balanced (map length goal_propss)
wenzelm@23418
   503
      handle THM _ => lost_structure ();
wenzelm@23418
   504
    val _ = Unify.matches_list thy (flat goal_propss) (map Thm.prop_of (flat results)) orelse
wenzelm@54567
   505
      error ("Proved a different theorem:\n" ^ Display.string_of_thm ctxt th);
wenzelm@23418
   506
wenzelm@23418
   507
    fun recover_result ([] :: pss) thss = [] :: recover_result pss thss
wenzelm@23418
   508
      | recover_result (_ :: pss) (ths :: thss) = ths :: recover_result pss thss
wenzelm@23418
   509
      | recover_result [] [] = []
wenzelm@23418
   510
      | recover_result _ _ = lost_structure ();
wenzelm@23418
   511
  in recover_result propss results end;
wenzelm@5820
   512
wenzelm@49859
   513
val finished_goal_error = "Failed to finish proof";
wenzelm@49859
   514
wenzelm@49889
   515
fun finished_goal pos state =
wenzelm@49859
   516
  let val (ctxt, (_, goal)) = get_goal state in
wenzelm@49859
   517
    if Thm.no_prems goal then Seq.Result state
wenzelm@49889
   518
    else
wenzelm@49889
   519
      Seq.Error (fn () =>
wenzelm@49889
   520
        finished_goal_error ^ Position.here pos ^ ":\n" ^
wenzelm@49889
   521
          Proof_Display.string_of_goal ctxt goal)
wenzelm@49859
   522
  end;
wenzelm@49846
   523
wenzelm@5820
   524
wenzelm@33288
   525
(* goal views -- corresponding to methods *)
wenzelm@33288
   526
wenzelm@33288
   527
fun raw_goal state =
wenzelm@33288
   528
  let val (ctxt, (facts, goal)) = get_goal state
wenzelm@33288
   529
  in {context = ctxt, facts = facts, goal = goal} end;
wenzelm@33288
   530
wenzelm@33288
   531
val goal = raw_goal o refine_insert [];
wenzelm@33288
   532
wenzelm@33288
   533
fun simple_goal state =
wenzelm@33288
   534
  let
wenzelm@33288
   535
    val (_, (facts, _)) = get_goal state;
wenzelm@33288
   536
    val (ctxt, (_, goal)) = get_goal (refine_insert facts state);
wenzelm@33288
   537
  in {context = ctxt, goal = goal} end;
wenzelm@33288
   538
wenzelm@38721
   539
fun status_markup state =
wenzelm@38721
   540
  (case try goal state of
wenzelm@50201
   541
    SOME {goal, ...} => Markup.proof_state (Thm.nprems_of goal)
wenzelm@38721
   542
  | NONE => Markup.empty);
wenzelm@38721
   543
wenzelm@49866
   544
fun method_error kind pos state =
wenzelm@49866
   545
  Seq.single (Proof_Display.method_error kind pos (raw_goal state));
wenzelm@49861
   546
wenzelm@33288
   547
wenzelm@5820
   548
wenzelm@5820
   549
(*** structured proof commands ***)
wenzelm@5820
   550
wenzelm@17112
   551
(** context elements **)
wenzelm@5820
   552
wenzelm@36324
   553
(* let bindings *)
wenzelm@5820
   554
wenzelm@16813
   555
local
wenzelm@16813
   556
wenzelm@17359
   557
fun gen_bind bind args state =
wenzelm@5820
   558
  state
wenzelm@5820
   559
  |> assert_forward
wenzelm@36324
   560
  |> map_context (bind true args #> snd)
wenzelm@47068
   561
  |> reset_facts;
wenzelm@5820
   562
wenzelm@16813
   563
in
wenzelm@16813
   564
wenzelm@42360
   565
val let_bind = gen_bind Proof_Context.match_bind_i;
wenzelm@42360
   566
val let_bind_cmd = gen_bind Proof_Context.match_bind;
wenzelm@5820
   567
wenzelm@16813
   568
end;
wenzelm@16813
   569
wenzelm@5820
   570
wenzelm@36505
   571
(* concrete syntax *)
wenzelm@36505
   572
wenzelm@36505
   573
local
wenzelm@36505
   574
wenzelm@36507
   575
fun gen_write prep_arg mode args =
wenzelm@36507
   576
  assert_forward
wenzelm@42360
   577
  #> map_context (fn ctxt => ctxt |> Proof_Context.notation true mode (map (prep_arg ctxt) args))
wenzelm@47068
   578
  #> reset_facts;
wenzelm@36505
   579
wenzelm@55955
   580
fun read_arg ctxt (c, mx) =
wenzelm@56002
   581
  (case Proof_Context.read_const {proper = false, strict = false} ctxt c of
wenzelm@55955
   582
    Free (x, _) =>
wenzelm@55955
   583
      let val T = Proof_Context.infer_type ctxt (x, Mixfix.mixfixT mx)
wenzelm@55955
   584
      in (Free (x, T), mx) end
wenzelm@55955
   585
  | t => (t, mx));
wenzelm@55955
   586
wenzelm@36505
   587
in
wenzelm@36505
   588
wenzelm@36505
   589
val write = gen_write (K I);
wenzelm@55955
   590
val write_cmd = gen_write read_arg;
wenzelm@36505
   591
wenzelm@36505
   592
end;
wenzelm@36505
   593
wenzelm@36505
   594
wenzelm@17359
   595
(* fix *)
wenzelm@9196
   596
wenzelm@12714
   597
local
wenzelm@12714
   598
wenzelm@30763
   599
fun gen_fix prep_vars args =
wenzelm@17359
   600
  assert_forward
wenzelm@45597
   601
  #> map_context (fn ctxt => snd (Proof_Context.add_fixes (fst (prep_vars args ctxt)) ctxt))
wenzelm@47068
   602
  #> reset_facts;
wenzelm@5820
   603
wenzelm@16813
   604
in
wenzelm@16813
   605
wenzelm@45597
   606
val fix = gen_fix Proof_Context.cert_vars;
wenzelm@45597
   607
val fix_cmd = gen_fix Proof_Context.read_vars;
wenzelm@5820
   608
wenzelm@16813
   609
end;
wenzelm@16813
   610
wenzelm@5820
   611
wenzelm@17359
   612
(* assume etc. *)
wenzelm@5820
   613
wenzelm@16813
   614
local
wenzelm@16813
   615
wenzelm@17112
   616
fun gen_assume asm prep_att exp args state =
wenzelm@5820
   617
  state
wenzelm@5820
   618
  |> assert_forward
wenzelm@47815
   619
  |> map_context_result (asm exp (Attrib.map_specs (map (prep_att (context_of state))) args))
wenzelm@17359
   620
  |> these_factss [] |> #2;
wenzelm@6932
   621
wenzelm@16813
   622
in
wenzelm@16813
   623
wenzelm@42360
   624
val assm = gen_assume Proof_Context.add_assms_i (K I);
wenzelm@47815
   625
val assm_cmd = gen_assume Proof_Context.add_assms Attrib.attribute_cmd;
wenzelm@36323
   626
val assume = assm Assumption.assume_export;
wenzelm@36323
   627
val assume_cmd = assm_cmd Assumption.assume_export;
wenzelm@36323
   628
val presume = assm Assumption.presume_export;
wenzelm@36323
   629
val presume_cmd = assm_cmd Assumption.presume_export;
wenzelm@5820
   630
wenzelm@16813
   631
end;
wenzelm@16813
   632
wenzelm@7271
   633
wenzelm@17359
   634
(* def *)
wenzelm@11891
   635
wenzelm@16813
   636
local
wenzelm@16813
   637
wenzelm@20913
   638
fun gen_def prep_att prep_vars prep_binds args state =
wenzelm@11891
   639
  let
wenzelm@11891
   640
    val _ = assert_forward state;
wenzelm@20913
   641
    val (raw_name_atts, (raw_vars, raw_rhss)) = args |> split_list ||> split_list;
wenzelm@47815
   642
    val name_atts = map (apsnd (map (prep_att (context_of state)))) raw_name_atts;
wenzelm@11891
   643
  in
wenzelm@20913
   644
    state
wenzelm@20913
   645
    |> map_context_result (prep_vars (map (fn (x, mx) => (x, NONE, mx)) raw_vars))
wenzelm@20913
   646
    |>> map (fn (x, _, mx) => (x, mx))
wenzelm@20913
   647
    |-> (fn vars =>
wenzelm@20913
   648
      map_context_result (prep_binds false (map swap raw_rhss))
wenzelm@49748
   649
      #-> (fn rhss =>
wenzelm@49748
   650
        let
wenzelm@49748
   651
          val defs = (vars ~~ (name_atts ~~ rhss)) |> map (fn ((x, mx), ((a, atts), rhs)) =>
wenzelm@49748
   652
            ((x, mx), ((Thm.def_binding_optional x a, atts), rhs)));
wenzelm@49748
   653
        in map_context_result (Local_Defs.add_defs defs) end))
wenzelm@47068
   654
    |-> (set_facts o map (#2 o #2))
wenzelm@11891
   655
  end;
wenzelm@11891
   656
wenzelm@16813
   657
in
wenzelm@16813
   658
wenzelm@42360
   659
val def = gen_def (K I) Proof_Context.cert_vars Proof_Context.match_bind_i;
wenzelm@47815
   660
val def_cmd = gen_def Attrib.attribute_cmd Proof_Context.read_vars Proof_Context.match_bind;
wenzelm@11891
   661
wenzelm@16813
   662
end;
wenzelm@16813
   663
wenzelm@11891
   664
wenzelm@8374
   665
wenzelm@17112
   666
(** facts **)
wenzelm@5820
   667
wenzelm@17359
   668
(* chain *)
wenzelm@5820
   669
wenzelm@24011
   670
fun clean_facts ctxt =
wenzelm@47068
   671
  set_facts (filter_out Thm.is_dummy (the_facts ctxt)) ctxt;
wenzelm@24011
   672
wenzelm@17359
   673
val chain =
wenzelm@17359
   674
  assert_forward
wenzelm@24011
   675
  #> clean_facts
wenzelm@17359
   676
  #> enter_chain;
wenzelm@5820
   677
wenzelm@17359
   678
fun chain_facts facts =
wenzelm@47068
   679
  set_facts facts
wenzelm@17359
   680
  #> chain;
wenzelm@5820
   681
wenzelm@5820
   682
wenzelm@17359
   683
(* note etc. *)
wenzelm@17112
   684
haftmann@28965
   685
fun no_binding args = map (pair (Binding.empty, [])) args;
wenzelm@17112
   686
wenzelm@17112
   687
local
wenzelm@17112
   688
wenzelm@30760
   689
fun gen_thmss more_facts opt_chain opt_result prep_atts prep_fact args state =
wenzelm@17112
   690
  state
wenzelm@17112
   691
  |> assert_forward
wenzelm@47815
   692
  |> map_context_result (fn ctxt => ctxt |> Proof_Context.note_thmss ""
wenzelm@47815
   693
    (Attrib.map_facts_refs (map (prep_atts ctxt)) (prep_fact ctxt) args))
wenzelm@17112
   694
  |> these_factss (more_facts state)
wenzelm@17359
   695
  ||> opt_chain
wenzelm@17359
   696
  |> opt_result;
wenzelm@17112
   697
wenzelm@17112
   698
in
wenzelm@17112
   699
wenzelm@36323
   700
val note_thmss = gen_thmss (K []) I #2 (K I) (K I);
wenzelm@47815
   701
val note_thmss_cmd = gen_thmss (K []) I #2 Attrib.attribute_cmd Proof_Context.get_fact;
wenzelm@17112
   702
wenzelm@36323
   703
val from_thmss = gen_thmss (K []) chain #2 (K I) (K I) o no_binding;
wenzelm@47815
   704
val from_thmss_cmd =
wenzelm@47815
   705
  gen_thmss (K []) chain #2 Attrib.attribute_cmd Proof_Context.get_fact o no_binding;
wenzelm@17359
   706
wenzelm@36323
   707
val with_thmss = gen_thmss the_facts chain #2 (K I) (K I) o no_binding;
wenzelm@47815
   708
val with_thmss_cmd =
wenzelm@47815
   709
  gen_thmss the_facts chain #2 Attrib.attribute_cmd Proof_Context.get_fact o no_binding;
wenzelm@30760
   710
wenzelm@30760
   711
val local_results = gen_thmss (K []) I I (K I) (K I) o map (apsnd Thm.simple_fact);
wenzelm@17359
   712
wenzelm@17112
   713
end;
wenzelm@17112
   714
wenzelm@17112
   715
wenzelm@18548
   716
(* using/unfolding *)
wenzelm@17112
   717
wenzelm@17112
   718
local
wenzelm@17112
   719
wenzelm@45390
   720
fun gen_using f g prep_att prep_fact args state =
wenzelm@17112
   721
  state
wenzelm@17112
   722
  |> assert_backward
wenzelm@21442
   723
  |> map_context_result
wenzelm@47815
   724
    (fn ctxt => ctxt |> Proof_Context.note_thmss ""
wenzelm@47815
   725
      (Attrib.map_facts_refs (map (prep_att ctxt)) (prep_fact ctxt) (no_binding args)))
wenzelm@18843
   726
  |> (fn (named_facts, state') =>
wenzelm@24556
   727
    state' |> map_goal I (fn (statement, _, using, goal, before_qed, after_qed) =>
wenzelm@18843
   728
      let
wenzelm@18843
   729
        val ctxt = context_of state';
wenzelm@19482
   730
        val ths = maps snd named_facts;
wenzelm@47431
   731
      in (statement, [], f ctxt ths using, g ctxt ths goal, before_qed, after_qed) end) I);
wenzelm@18548
   732
wenzelm@24050
   733
fun append_using _ ths using = using @ filter_out Thm.is_dummy ths;
wenzelm@35624
   734
fun unfold_using ctxt ths = map (Local_Defs.unfold ctxt ths);
wenzelm@35624
   735
val unfold_goals = Local_Defs.unfold_goals;
wenzelm@17112
   736
wenzelm@17112
   737
in
wenzelm@17112
   738
wenzelm@36323
   739
val using = gen_using append_using (K (K I)) (K I) (K I);
wenzelm@47815
   740
val using_cmd = gen_using append_using (K (K I)) Attrib.attribute_cmd Proof_Context.get_fact;
wenzelm@36323
   741
val unfolding = gen_using unfold_using unfold_goals (K I) (K I);
wenzelm@47815
   742
val unfolding_cmd = gen_using unfold_using unfold_goals Attrib.attribute_cmd Proof_Context.get_fact;
wenzelm@17112
   743
wenzelm@17112
   744
end;
wenzelm@17112
   745
wenzelm@17112
   746
wenzelm@17112
   747
(* case *)
wenzelm@17112
   748
wenzelm@17112
   749
local
wenzelm@17112
   750
wenzelm@53378
   751
fun gen_invoke_case prep_att ((name, pos), xs, raw_atts) state =
wenzelm@17112
   752
  let
wenzelm@47815
   753
    val atts = map (prep_att (context_of state)) raw_atts;
wenzelm@19078
   754
    val (asms, state') = state |> map_context_result (fn ctxt =>
wenzelm@53378
   755
      ctxt |> Proof_Context.apply_case (Proof_Context.check_case ctxt (name, pos) xs));
wenzelm@53380
   756
    val assumptions =
wenzelm@53380
   757
      asms |> map (fn (b, ts) => ((Binding.set_pos pos b, atts), map (rpair []) ts));
wenzelm@17112
   758
  in
wenzelm@17112
   759
    state'
wenzelm@36323
   760
    |> assume assumptions
wenzelm@33386
   761
    |> bind_terms Auto_Bind.no_facts
wenzelm@53378
   762
    |> `the_facts |-> (fn thms => note_thmss [((Binding.make (name, pos), []), [(thms, [])])])
wenzelm@17112
   763
  end;
wenzelm@17112
   764
wenzelm@17112
   765
in
wenzelm@17112
   766
wenzelm@36323
   767
val invoke_case = gen_invoke_case (K I);
wenzelm@47815
   768
val invoke_case_cmd = gen_invoke_case Attrib.attribute_cmd;
wenzelm@17112
   769
wenzelm@17112
   770
end;
wenzelm@17112
   771
wenzelm@17112
   772
wenzelm@17112
   773
wenzelm@17359
   774
(** proof structure **)
wenzelm@17359
   775
wenzelm@17359
   776
(* blocks *)
wenzelm@17359
   777
wenzelm@17359
   778
val begin_block =
wenzelm@17359
   779
  assert_forward
wenzelm@17359
   780
  #> open_block
wenzelm@47068
   781
  #> reset_goal
wenzelm@17359
   782
  #> open_block;
wenzelm@17359
   783
wenzelm@17359
   784
val next_block =
wenzelm@17359
   785
  assert_forward
wenzelm@17359
   786
  #> close_block
wenzelm@17359
   787
  #> open_block
wenzelm@47068
   788
  #> reset_goal
wenzelm@47068
   789
  #> reset_facts;
wenzelm@17359
   790
wenzelm@17359
   791
fun end_block state =
wenzelm@17359
   792
  state
wenzelm@17359
   793
  |> assert_forward
wenzelm@40960
   794
  |> assert_bottom false
wenzelm@17359
   795
  |> close_block
wenzelm@17359
   796
  |> assert_current_goal false
wenzelm@17359
   797
  |> close_block
wenzelm@17359
   798
  |> export_facts state;
wenzelm@17359
   799
wenzelm@17359
   800
wenzelm@40960
   801
(* global notepad *)
wenzelm@40960
   802
wenzelm@40960
   803
val begin_notepad =
wenzelm@40960
   804
  init
wenzelm@40960
   805
  #> open_block
wenzelm@40960
   806
  #> map_context (Variable.set_body true)
wenzelm@40960
   807
  #> open_block;
wenzelm@40960
   808
wenzelm@40960
   809
val end_notepad =
wenzelm@40960
   810
  assert_forward
wenzelm@40960
   811
  #> assert_bottom true
wenzelm@40960
   812
  #> close_block
wenzelm@40960
   813
  #> assert_current_goal false
wenzelm@40960
   814
  #> close_block
wenzelm@40960
   815
  #> context_of;
wenzelm@40960
   816
wenzelm@40960
   817
wenzelm@17359
   818
(* sub-proofs *)
wenzelm@17359
   819
wenzelm@17359
   820
fun proof opt_text =
wenzelm@17359
   821
  assert_backward
wenzelm@17859
   822
  #> refine (the_default Method.default_text opt_text)
wenzelm@17359
   823
  #> Seq.map (using_facts [] #> enter_forward);
wenzelm@17359
   824
wenzelm@49866
   825
fun proof_results arg =
wenzelm@49866
   826
  Seq.APPEND (proof (Method.text arg) #> Seq.make_results,
wenzelm@49866
   827
    method_error "initial" (Method.position arg));
wenzelm@49863
   828
wenzelm@49889
   829
fun end_proof bot (prev_pos, (opt_text, immed)) =
wenzelm@49889
   830
  let
wenzelm@49889
   831
    val (finish_text, terminal_pos, finished_pos) =
wenzelm@49889
   832
      (case opt_text of
wenzelm@49889
   833
        NONE => (Method.finish_text (NONE, immed), Position.none, prev_pos)
wenzelm@55709
   834
      | SOME (text, (pos, end_pos)) => (Method.finish_text (SOME text, immed), pos, end_pos));
wenzelm@49889
   835
  in
wenzelm@49889
   836
    Seq.APPEND (fn state =>
wenzelm@49889
   837
      state
wenzelm@49889
   838
      |> assert_forward
wenzelm@49889
   839
      |> assert_bottom bot
wenzelm@49889
   840
      |> close_block
wenzelm@49889
   841
      |> assert_current_goal true
wenzelm@49889
   842
      |> using_facts []
wenzelm@49889
   843
      |> `before_qed |-> (refine o the_default Method.succeed_text)
wenzelm@49889
   844
      |> Seq.maps (refine finish_text)
wenzelm@49889
   845
      |> Seq.make_results, method_error "terminal" terminal_pos)
wenzelm@49889
   846
    #> Seq.maps_results (Seq.single o finished_goal finished_pos)
wenzelm@49889
   847
  end;
wenzelm@17359
   848
wenzelm@29383
   849
fun check_result msg sq =
wenzelm@29383
   850
  (case Seq.pull sq of
wenzelm@29383
   851
    NONE => error msg
wenzelm@29383
   852
  | SOME (s, _) => s);
wenzelm@29383
   853
wenzelm@17359
   854
wenzelm@17359
   855
(* unstructured refinement *)
wenzelm@17359
   856
wenzelm@49865
   857
fun defer i =
wenzelm@49865
   858
  assert_no_chain #>
wenzelm@49865
   859
  refine (Method.Basic (fn _ => METHOD (fn _ => ASSERT_SUBGOAL defer_tac i))) #> Seq.hd;
wenzelm@49865
   860
wenzelm@49865
   861
fun prefer i =
wenzelm@49865
   862
  assert_no_chain #>
wenzelm@49865
   863
  refine (Method.Basic (fn _ => METHOD (fn _ => ASSERT_SUBGOAL prefer_tac i))) #> Seq.hd;
wenzelm@17359
   864
wenzelm@17359
   865
fun apply text = assert_backward #> refine text #> Seq.map (using_facts []);
wenzelm@49866
   866
wenzelm@17359
   867
fun apply_end text = assert_forward #> refine_end text;
wenzelm@17359
   868
wenzelm@55709
   869
fun apply_results (text, (pos, _)) =
wenzelm@55709
   870
  Seq.APPEND (apply text #> Seq.make_results, method_error "" pos);
wenzelm@49866
   871
wenzelm@55709
   872
fun apply_end_results (text, (pos, _)) =
wenzelm@55709
   873
  Seq.APPEND (apply_end text #> Seq.make_results, method_error "" pos);
wenzelm@49863
   874
wenzelm@17359
   875
wenzelm@17359
   876
wenzelm@17112
   877
(** goals **)
wenzelm@17112
   878
wenzelm@17359
   879
(* generic goals *)
wenzelm@17359
   880
wenzelm@19774
   881
local
wenzelm@19774
   882
wenzelm@36322
   883
val is_var =
wenzelm@36322
   884
  can (dest_TVar o Logic.dest_type o Logic.dest_term) orf
wenzelm@36322
   885
  can (dest_Var o Logic.dest_term);
wenzelm@36322
   886
wenzelm@36322
   887
fun implicit_vars props =
wenzelm@19846
   888
  let
wenzelm@36354
   889
    val (var_props, _) = take_prefix is_var props;
wenzelm@36322
   890
    val explicit_vars = fold Term.add_vars var_props [];
wenzelm@36322
   891
    val vars = filter_out (member (op =) explicit_vars) (fold Term.add_vars props []);
wenzelm@36322
   892
  in map (Logic.mk_term o Var) vars end;
wenzelm@19774
   893
wenzelm@19774
   894
fun refine_terms n =
wenzelm@30510
   895
  refine (Method.Basic (K (RAW_METHOD
wenzelm@19774
   896
    (K (HEADGOAL (PRECISE_CONJUNCTS n
wenzelm@32193
   897
      (HEADGOAL (CONJUNCTS (ALLGOALS (rtac Drule.termI))))))))))
wenzelm@19774
   898
  #> Seq.hd;
wenzelm@19774
   899
wenzelm@19774
   900
in
wenzelm@17359
   901
wenzelm@17859
   902
fun generic_goal prepp kind before_qed after_qed raw_propp state =
wenzelm@5820
   903
  let
wenzelm@17359
   904
    val thy = theory_of state;
wenzelm@23418
   905
    val cert = Thm.cterm_of thy;
wenzelm@17359
   906
    val chaining = can assert_chain state;
wenzelm@25958
   907
    val pos = Position.thread_data ();
wenzelm@17359
   908
wenzelm@17359
   909
    val ((propss, after_ctxt), goal_state) =
wenzelm@5936
   910
      state
wenzelm@5936
   911
      |> assert_forward_or_chain
wenzelm@5936
   912
      |> enter_forward
wenzelm@17359
   913
      |> open_block
wenzelm@45327
   914
      |> map_context_result (prepp raw_propp);
wenzelm@19482
   915
    val props = flat propss;
wenzelm@15703
   916
wenzelm@36322
   917
    val vars = implicit_vars props;
wenzelm@36322
   918
    val propss' = vars :: propss;
wenzelm@23418
   919
    val goal_propss = filter_out null propss';
wenzelm@29346
   920
    val goal =
wenzelm@29346
   921
      cert (Logic.mk_conjunction_balanced (map Logic.mk_conjunction_balanced goal_propss))
wenzelm@28627
   922
      |> Thm.weaken_sorts (Variable.sorts_of (context_of goal_state));
wenzelm@29346
   923
    val statement = ((kind, pos), propss', Thm.term_of goal);
wenzelm@18124
   924
    val after_qed' = after_qed |>> (fn after_local =>
wenzelm@18124
   925
      fn results => map_context after_ctxt #> after_local results);
wenzelm@5820
   926
  in
wenzelm@17359
   927
    goal_state
wenzelm@21727
   928
    |> map_context (init_context #> Variable.set_body true)
wenzelm@47068
   929
    |> set_goal (make_goal (statement, [], [], Goal.init goal, before_qed, after_qed'))
wenzelm@42360
   930
    |> map_context (Proof_Context.auto_bind_goal props)
wenzelm@21565
   931
    |> chaining ? (`the_facts #-> using_facts)
wenzelm@47068
   932
    |> reset_facts
wenzelm@17359
   933
    |> open_block
wenzelm@47068
   934
    |> reset_goal
wenzelm@5820
   935
    |> enter_backward
wenzelm@23418
   936
    |> not (null vars) ? refine_terms (length goal_propss)
wenzelm@32193
   937
    |> null props ? (refine (Method.Basic Method.assumption) #> Seq.hd)
wenzelm@5820
   938
  end;
wenzelm@5820
   939
wenzelm@29090
   940
fun generic_qed after_ctxt state =
wenzelm@12503
   941
  let
wenzelm@36354
   942
    val (goal_ctxt, {statement = (_, stmt, _), goal, after_qed, ...}) = current_goal state;
wenzelm@8617
   943
    val outer_state = state |> close_block;
wenzelm@8617
   944
    val outer_ctxt = context_of outer_state;
wenzelm@8617
   945
wenzelm@18503
   946
    val props =
wenzelm@19774
   947
      flat (tl stmt)
wenzelm@19915
   948
      |> Variable.exportT_terms goal_ctxt outer_ctxt;
wenzelm@17359
   949
    val results =
wenzelm@28627
   950
      tl (conclude_goal goal_ctxt goal stmt)
wenzelm@42360
   951
      |> burrow (Proof_Context.export goal_ctxt outer_ctxt);
wenzelm@17359
   952
  in
wenzelm@17359
   953
    outer_state
wenzelm@29090
   954
    |> map_context (after_ctxt props)
wenzelm@34239
   955
    |> pair (after_qed, results)
wenzelm@17359
   956
  end;
wenzelm@17359
   957
wenzelm@19774
   958
end;
wenzelm@19774
   959
wenzelm@9469
   960
wenzelm@17359
   961
(* local goals *)
wenzelm@17359
   962
wenzelm@17859
   963
fun local_goal print_results prep_att prepp kind before_qed after_qed stmt state =
wenzelm@17359
   964
  let
wenzelm@21362
   965
    val ((names, attss), propp) =
wenzelm@47815
   966
      Attrib.map_specs (map (prep_att (context_of state))) stmt |> split_list |>> split_list;
wenzelm@17359
   967
wenzelm@18124
   968
    fun after_qed' results =
wenzelm@18808
   969
      local_results ((names ~~ attss) ~~ results)
wenzelm@17359
   970
      #-> (fn res => tap (fn st => print_results (context_of st) ((kind, ""), res) : unit))
wenzelm@18124
   971
      #> after_qed results;
wenzelm@5820
   972
  in
wenzelm@17359
   973
    state
wenzelm@21362
   974
    |> generic_goal prepp kind before_qed (after_qed', K I) propp
wenzelm@19900
   975
    |> tap (Variable.warn_extra_tfrees (context_of state) o context_of)
wenzelm@5820
   976
  end;
wenzelm@5820
   977
wenzelm@49866
   978
fun local_qeds arg =
wenzelm@49866
   979
  end_proof false arg
wenzelm@49859
   980
  #> Seq.map_result (generic_qed Proof_Context.auto_bind_facts #->
wenzelm@49859
   981
    (fn ((after_qed, _), results) => after_qed results));
wenzelm@5820
   982
wenzelm@49889
   983
fun local_qed arg =
wenzelm@49889
   984
  local_qeds (Position.none, arg) #> Seq.the_result finished_goal_error;
wenzelm@29383
   985
wenzelm@5820
   986
wenzelm@17359
   987
(* global goals *)
wenzelm@17359
   988
wenzelm@45327
   989
fun prepp_auto_fixes prepp args =
wenzelm@45327
   990
  prepp args #>
wenzelm@45327
   991
  (fn ((propss, a), ctxt) => ((propss, a), (fold o fold) Variable.auto_fixes propss ctxt));
wenzelm@45327
   992
wenzelm@45327
   993
fun global_goal prepp before_qed after_qed propp =
wenzelm@45327
   994
  init #>
wenzelm@45327
   995
  generic_goal (prepp_auto_fixes prepp) "" before_qed (K I, after_qed) propp;
wenzelm@17359
   996
wenzelm@42360
   997
val theorem = global_goal Proof_Context.bind_propp_schematic_i;
wenzelm@42360
   998
val theorem_cmd = global_goal Proof_Context.bind_propp_schematic;
wenzelm@12065
   999
wenzelm@49866
  1000
fun global_qeds arg =
wenzelm@49866
  1001
  end_proof true arg
wenzelm@49859
  1002
  #> Seq.map_result (generic_qed (K I) #> (fn (((_, after_qed), results), state) =>
wenzelm@49859
  1003
    after_qed results (context_of state)));
wenzelm@17112
  1004
wenzelm@49889
  1005
fun global_qed arg =
wenzelm@49889
  1006
  global_qeds (Position.none, arg) #> Seq.the_result finished_goal_error;
wenzelm@12959
  1007
wenzelm@5820
  1008
wenzelm@49907
  1009
(* terminal proof steps *)
wenzelm@17112
  1010
wenzelm@49890
  1011
local
wenzelm@49890
  1012
wenzelm@49846
  1013
fun terminal_proof qeds initial terminal =
wenzelm@49889
  1014
  proof_results (SOME initial) #> Seq.maps_results (qeds (#2 (#2 initial), terminal))
wenzelm@49863
  1015
  #> Seq.the_result "";
wenzelm@49848
  1016
wenzelm@49890
  1017
in
wenzelm@49890
  1018
wenzelm@29383
  1019
fun local_terminal_proof (text, opt_text) = terminal_proof local_qeds text (opt_text, true);
wenzelm@49889
  1020
val local_default_proof = local_terminal_proof ((Method.default_text, Position.no_range), NONE);
wenzelm@49889
  1021
val local_immediate_proof = local_terminal_proof ((Method.this_text, Position.no_range), NONE);
wenzelm@49889
  1022
val local_done_proof = terminal_proof local_qeds (Method.done_text, Position.no_range) (NONE, false);
wenzelm@17112
  1023
wenzelm@29383
  1024
fun global_terminal_proof (text, opt_text) = terminal_proof global_qeds text (opt_text, true);
wenzelm@49889
  1025
val global_default_proof = global_terminal_proof ((Method.default_text, Position.no_range), NONE);
wenzelm@49889
  1026
val global_immediate_proof = global_terminal_proof ((Method.this_text, Position.no_range), NONE);
wenzelm@49889
  1027
val global_done_proof = terminal_proof global_qeds (Method.done_text, Position.no_range) (NONE, false);
wenzelm@5820
  1028
wenzelm@49890
  1029
end;
wenzelm@49890
  1030
wenzelm@6896
  1031
wenzelm@49907
  1032
(* skip proofs *)
wenzelm@49907
  1033
wenzelm@49907
  1034
fun local_skip_proof int state =
wenzelm@49907
  1035
  local_terminal_proof ((Method.sorry_text int, Position.no_range), NONE) state before
wenzelm@51551
  1036
  Skip_Proof.report (context_of state);
wenzelm@49907
  1037
wenzelm@49907
  1038
fun global_skip_proof int state =
wenzelm@49907
  1039
  global_terminal_proof ((Method.sorry_text int, Position.no_range), NONE) state before
wenzelm@51551
  1040
  Skip_Proof.report (context_of state);
wenzelm@49907
  1041
wenzelm@49907
  1042
wenzelm@17359
  1043
(* common goal statements *)
wenzelm@17359
  1044
wenzelm@17359
  1045
local
wenzelm@17359
  1046
wenzelm@17859
  1047
fun gen_have prep_att prepp before_qed after_qed stmt int =
wenzelm@56932
  1048
  local_goal (Proof_Display.print_results int (Position.thread_data ()))
wenzelm@46728
  1049
    prep_att prepp "have" before_qed after_qed stmt;
wenzelm@6896
  1050
wenzelm@17859
  1051
fun gen_show prep_att prepp before_qed after_qed stmt int state =
wenzelm@17359
  1052
  let
wenzelm@32738
  1053
    val testing = Unsynchronized.ref false;
wenzelm@32738
  1054
    val rule = Unsynchronized.ref (NONE: thm option);
wenzelm@17359
  1055
    fun fail_msg ctxt =
wenzelm@50315
  1056
      "Local statement fails to refine any pending goal" ::
wenzelm@33389
  1057
      (case ! rule of NONE => [] | SOME th => [Proof_Display.string_of_rule ctxt "Failed" th])
wenzelm@17359
  1058
      |> cat_lines;
wenzelm@6896
  1059
wenzelm@56932
  1060
    val pos = Position.thread_data ();
wenzelm@17359
  1061
    fun print_results ctxt res =
wenzelm@46728
  1062
      if ! testing then ()
wenzelm@56932
  1063
      else Proof_Display.print_results int pos ctxt res;
wenzelm@17359
  1064
    fun print_rule ctxt th =
wenzelm@17359
  1065
      if ! testing then rule := SOME th
wenzelm@41181
  1066
      else if int then
wenzelm@50201
  1067
        writeln (Markup.markup Markup.state (Proof_Display.string_of_rule ctxt "Successful" th))
wenzelm@17359
  1068
      else ();
wenzelm@17359
  1069
    val test_proof =
wenzelm@50315
  1070
      local_skip_proof true
wenzelm@39616
  1071
      |> Unsynchronized.setmp testing true
wenzelm@42042
  1072
      |> Exn.interruptible_capture;
wenzelm@6896
  1073
wenzelm@18124
  1074
    fun after_qed' results =
wenzelm@19482
  1075
      refine_goals print_rule (context_of state) (flat results)
wenzelm@29383
  1076
      #> check_result "Failed to refine any pending goal"
wenzelm@29383
  1077
      #> after_qed results;
wenzelm@17359
  1078
  in
wenzelm@17359
  1079
    state
wenzelm@17859
  1080
    |> local_goal print_results prep_att prepp "show" before_qed after_qed' stmt
wenzelm@21565
  1081
    |> int ? (fn goal_state =>
wenzelm@49907
  1082
      (case test_proof (map_context (Context_Position.set_visible false) goal_state) of
wenzelm@50315
  1083
        Exn.Res _ => goal_state
wenzelm@42042
  1084
      | Exn.Exn exn => raise Exn.EXCEPTIONS ([exn, ERROR (fail_msg (context_of goal_state))])))
wenzelm@17359
  1085
  end;
wenzelm@17359
  1086
wenzelm@17359
  1087
in
wenzelm@17359
  1088
wenzelm@42360
  1089
val have = gen_have (K I) Proof_Context.bind_propp_i;
wenzelm@47815
  1090
val have_cmd = gen_have Attrib.attribute_cmd Proof_Context.bind_propp;
wenzelm@42360
  1091
val show = gen_show (K I) Proof_Context.bind_propp_i;
wenzelm@47815
  1092
val show_cmd = gen_show Attrib.attribute_cmd Proof_Context.bind_propp;
wenzelm@6896
  1093
wenzelm@5820
  1094
end;
wenzelm@17359
  1095
wenzelm@28410
  1096
wenzelm@29385
  1097
wenzelm@29385
  1098
(** future proofs **)
wenzelm@29385
  1099
wenzelm@29385
  1100
(* relevant proof states *)
wenzelm@29385
  1101
wenzelm@29385
  1102
fun schematic_goal state =
wenzelm@29385
  1103
  let val (_, (_, {statement = (_, _, prop), ...})) = find_goal state
wenzelm@51553
  1104
  in Goal.is_schematic prop end;
wenzelm@29385
  1105
wenzelm@29385
  1106
fun is_relevant state =
wenzelm@29385
  1107
  (case try find_goal state of
wenzelm@29385
  1108
    NONE => true
wenzelm@29385
  1109
  | SOME (_, (_, {statement = (_, _, prop), goal, ...})) =>
wenzelm@51553
  1110
      Goal.is_schematic prop orelse not (Logic.protect prop aconv Thm.concl_of goal));
wenzelm@29385
  1111
wenzelm@29385
  1112
wenzelm@29385
  1113
(* full proofs *)
wenzelm@28410
  1114
wenzelm@29346
  1115
local
wenzelm@29346
  1116
wenzelm@49912
  1117
structure Result = Proof_Data
wenzelm@49912
  1118
(
wenzelm@49912
  1119
  type T = thm option;
wenzelm@49912
  1120
  val empty = NONE;
wenzelm@49912
  1121
  fun init _ = empty;
wenzelm@49912
  1122
);
wenzelm@49912
  1123
wenzelm@49912
  1124
fun the_result ctxt =
wenzelm@49912
  1125
  (case Result.get ctxt of
wenzelm@49912
  1126
    NONE => error "No result of forked proof"
wenzelm@49912
  1127
  | SOME th => th);
wenzelm@49912
  1128
wenzelm@49912
  1129
val set_result = Result.put o SOME;
wenzelm@49912
  1130
val reset_result = Result.put NONE;
wenzelm@49912
  1131
wenzelm@51318
  1132
in
wenzelm@51318
  1133
wenzelm@51318
  1134
fun future_proof fork_proof state =
wenzelm@28410
  1135
  let
wenzelm@29381
  1136
    val _ = assert_backward state;
wenzelm@28410
  1137
    val (goal_ctxt, (_, goal)) = find_goal state;
wenzelm@32786
  1138
    val {statement as (kind, _, prop), messages, using, goal, before_qed, after_qed} = goal;
wenzelm@47431
  1139
    val goal_tfrees =
wenzelm@47431
  1140
      fold Term.add_tfrees
wenzelm@47431
  1141
        (prop :: map Thm.term_of (Assumption.all_assms_of goal_ctxt)) [];
wenzelm@28410
  1142
wenzelm@29383
  1143
    val _ = is_relevant state andalso error "Cannot fork relevant proof";
wenzelm@29383
  1144
wenzelm@29346
  1145
    val prop' = Logic.protect prop;
wenzelm@29346
  1146
    val statement' = (kind, [[], [prop']], prop');
wenzelm@52456
  1147
    val goal' = Thm.adjust_maxidx_thm (Thm.maxidx_of goal) (Goal.protect (Thm.nprems_of goal) goal);
wenzelm@49912
  1148
    val after_qed' = (fn [[th]] => map_context (set_result th), fn [[th]] => set_result th);
wenzelm@28410
  1149
wenzelm@28973
  1150
    val result_ctxt =
wenzelm@28973
  1151
      state
wenzelm@49912
  1152
      |> map_context reset_result
wenzelm@29385
  1153
      |> map_goal I (K (statement', messages, using, goal', before_qed, after_qed'))
wenzelm@47431
  1154
        (fold (Variable.declare_typ o TFree) goal_tfrees)
wenzelm@29346
  1155
      |> fork_proof;
wenzelm@28973
  1156
wenzelm@51318
  1157
    val future_thm = Future.map (the_result o snd) result_ctxt;
wenzelm@32062
  1158
    val finished_goal = Goal.future_result goal_ctxt future_thm prop';
wenzelm@28973
  1159
    val state' =
wenzelm@28973
  1160
      state
wenzelm@51318
  1161
      |> map_goal I (K (statement, messages, using, finished_goal, NONE, after_qed)) I;
wenzelm@51318
  1162
  in (Future.map fst result_ctxt, state') end;
wenzelm@29385
  1163
wenzelm@17359
  1164
end;
wenzelm@29346
  1165
wenzelm@29385
  1166
wenzelm@51662
  1167
(* terminal proofs *)  (* FIXME avoid toplevel imitation -- include in PIDE/document *)
wenzelm@29385
  1168
wenzelm@29385
  1169
local
wenzelm@29385
  1170
wenzelm@51605
  1171
fun future_terminal_proof proof1 proof2 done int state =
wenzelm@53189
  1172
  if Goal.future_enabled 3 andalso not (is_relevant state) then
wenzelm@51318
  1173
    state |> future_proof (fn state' =>
wenzelm@51662
  1174
      let
wenzelm@51662
  1175
        val pos = Position.thread_data ();
wenzelm@51662
  1176
        val props = Markup.command_timing :: (Markup.nameN, "by") :: Position.properties_of pos;
wenzelm@51662
  1177
      in
wenzelm@53192
  1178
        Execution.fork {name = "Proof.future_terminal_proof", pos = pos, pri = ~1}
wenzelm@51662
  1179
          (fn () => ((), Timing.protocol props proof2 state'))
wenzelm@51662
  1180
      end) |> snd |> done
wenzelm@51318
  1181
  else proof1 state;
wenzelm@29385
  1182
wenzelm@29385
  1183
in
wenzelm@29385
  1184
wenzelm@51318
  1185
fun local_future_terminal_proof meths =
wenzelm@51605
  1186
  future_terminal_proof
wenzelm@51318
  1187
    (local_terminal_proof meths)
wenzelm@51318
  1188
    (local_terminal_proof meths #> context_of) local_done_proof;
wenzelm@29385
  1189
wenzelm@51318
  1190
fun global_future_terminal_proof meths =
wenzelm@51605
  1191
  future_terminal_proof
wenzelm@51318
  1192
    (global_terminal_proof meths)
wenzelm@51318
  1193
    (global_terminal_proof meths) global_done_proof;
wenzelm@29350
  1194
wenzelm@29346
  1195
end;
wenzelm@29346
  1196
wenzelm@29385
  1197
end;
wenzelm@29385
  1198