src/Pure/Isar/proof.ML
author wenzelm
Thu Nov 09 21:44:32 2006 +0100 (2006-11-09)
changeset 21274 3340d0fcecd1
parent 20913 7a4dceafab2d
child 21362 3a2ab1dce297
permissions -rw-r--r--
Stack.map_top;
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(*  Title:      Pure/Isar/proof.ML
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    ID:         $Id$
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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 (*= Context.proof*)
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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 add_binds_i: (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 put_thms_internal: 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 put_facts: thm list option -> 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 get_goal: state -> context * (thm list * thm)
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  val schematic_goal: state -> bool
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  val show_main_goal: bool ref
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  val verbose: bool ref
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  val pretty_state: int -> state -> Pretty.T list
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  val pretty_goals: bool -> state -> Pretty.T list
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  val refine: Method.text -> state -> state Seq.seq
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  val refine_end: Method.text -> state -> state Seq.seq
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  val refine_insert: thm list -> state -> state
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  val goal_tac: thm -> int -> tactic
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  val refine_goals: (context -> thm -> unit) -> context -> thm list -> state -> state Seq.seq
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  val match_bind: (string list * string) list -> state -> state
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  val match_bind_i: (term list * term) list -> state -> state
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  val let_bind: (string list * string) list -> state -> state
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  val let_bind_i: (term list * term) list -> state -> state
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  val fix: (string * string option * mixfix) list -> state -> state
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  val fix_i: (string * typ option * mixfix) list -> state -> state
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  val assm: Assumption.export ->
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    ((string * Attrib.src list) * (string * string list) list) list -> state -> state
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  val assm_i: Assumption.export ->
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    ((string * attribute list) * (term * term list) list) list -> state -> state
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  val assume: ((string * Attrib.src list) * (string * string list) list) list -> state -> state
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  val assume_i: ((string * attribute list) * (term * term list) list) list -> state -> state
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  val presume: ((string * Attrib.src list) * (string * string list) list) list -> state -> state
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  val presume_i: ((string * attribute list) * (term * term list) list) list -> state -> state
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  val def: ((string * Attrib.src list) *
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    ((string * mixfix) * (string * string list))) list -> state -> state
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  val def_i: ((string * attribute list) *
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    ((string * mixfix) * (term * term 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 get_thmss: state -> (thmref * Attrib.src list) list -> thm list
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  val simple_note_thms: string -> thm list -> state -> state
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  val note_thmss: ((string * Attrib.src list) *
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    (thmref * Attrib.src list) list) list -> state -> state
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  val note_thmss_i: ((string * attribute list) *
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    (thm list * attribute list) list) list -> state -> state
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  val from_thmss: ((thmref * Attrib.src list) list) list -> state -> state
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  val from_thmss_i: ((thm list * attribute list) list) list -> state -> state
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  val with_thmss: ((thmref * Attrib.src list) list) list -> state -> state
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  val with_thmss_i: ((thm list * attribute list) list) list -> state -> state
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  val using: ((thmref * Attrib.src list) list) list -> state -> state
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  val using_i: ((thm list * attribute list) list) list -> state -> state
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  val unfolding: ((thmref * Attrib.src list) list) list -> state -> state
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  val unfolding_i: ((thm list * attribute list) list) list -> state -> state
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  val invoke_case: string * string option list * Attrib.src list -> state -> state
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  val invoke_case_i: string * string option list * attribute 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 proof: Method.text option -> state -> state Seq.seq
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  val defer: int option -> state -> state Seq.seq
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  val prefer: int -> state -> state Seq.seq
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  val apply: Method.text -> state -> state Seq.seq
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  val apply_end: Method.text -> state -> state Seq.seq
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  val goal_names: string option -> string -> string list -> string
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  val local_goal: (context -> ((string * string) * (string * thm list) list) -> unit) ->
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    (theory -> 'a -> attribute) ->
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    (context * 'b list -> context * (term list list * (context -> context))) ->
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    string -> Method.text option -> (thm list list -> state -> state Seq.seq) ->
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    ((string * 'a list) * 'b) list -> state -> state
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  val local_qed: Method.text option * bool -> state -> state Seq.seq
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  val global_goal: (context -> (string * string) * (string * thm list) list -> unit) ->
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    (theory -> 'a -> attribute) ->
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    (context * 'b list -> context * (term list list * (context -> context))) ->
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    string -> Method.text option -> (thm list list -> context -> context) ->
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    string option -> string * 'a list -> ((string * 'a list) * 'b) list -> context -> state
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  val global_qed: Method.text option * bool -> state -> context
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  val local_terminal_proof: Method.text * Method.text option -> state -> state Seq.seq
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  val local_default_proof: state -> state Seq.seq
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  val local_immediate_proof: state -> state Seq.seq
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  val local_done_proof: state -> state Seq.seq
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  val local_skip_proof: bool -> state -> state Seq.seq
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  val global_terminal_proof: Method.text * Method.text option -> state -> context
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  val global_default_proof: state -> context
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  val global_immediate_proof: state -> context
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  val global_done_proof: state -> context
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  val global_skip_proof: bool -> state -> context
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  val have: Method.text option -> (thm list list -> state -> state Seq.seq) ->
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    ((string * Attrib.src list) * (string * string list) list) list -> bool -> state -> state
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  val have_i: Method.text option -> (thm list list -> state -> state Seq.seq) ->
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    ((string * attribute list) * (term * term list) list) list -> bool -> state -> state
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  val show: Method.text option -> (thm list list -> state -> state Seq.seq) ->
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    ((string * Attrib.src list) * (string * string list) list) list -> bool -> state -> state
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  val show_i: Method.text option -> (thm list list -> state -> state Seq.seq) ->
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    ((string * attribute list) * (term * term list) list) list -> bool -> state -> state
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  val theorem: string -> Method.text option -> (thm list list -> context -> context) ->
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    string option -> string * Attrib.src list ->
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    ((string * Attrib.src list) * (string * string list) list) list -> context -> state
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  val theorem_i: string -> Method.text option -> (thm list list -> context -> context) ->
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    string option -> string * attribute list ->
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    ((string * attribute list) * (term * term list) list) list -> context -> state
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end;
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structure Proof: PROOF =
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struct
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type context = Context.proof;
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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 * term list list,     (*goal kind and statement, starting with vars*)
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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 Seq.seq) *
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      (thm list list -> context -> context)};
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fun make_goal (statement, using, goal, before_qed, after_qed) =
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  Goal {statement = statement, 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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fun init ctxt = State (Stack.init (make_node (ctxt, NONE, Forward, NONE)));
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fun current (State st) = Stack.top st |> (fn Node node => node);
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fun map_current f (State st) = State (Stack.map_top (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 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 current;
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val theory_of = ProofContext.theory_of o context_of;
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fun map_context f =
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  map_current (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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val add_binds_i = map_context o ProofContext.add_binds_i;
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val put_thms = map_context oo ProofContext.put_thms;
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val put_thms_internal = map_context o ProofContext.put_thms_internal;
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(* facts *)
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val get_facts = #facts o current;
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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_current (fn (ctxt, _, mode, goal) => (ctxt, facts, mode, goal)) #>
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  put_thms_internal (AutoBind.thisN, facts);
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fun these_factss more_facts (named_factss, state) =
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  (named_factss, state |> put_facts (SOME (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 => put_facts NONE outer
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  | SOME thms =>
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      thms
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      |> ProofContext.export (context_of inner) (context_of outer)
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      |> (fn ths => put_facts (SOME ths) outer));
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(* mode *)
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val get_mode = #mode o current;
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fun put_mode mode = map_current (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 current 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_current (fn (ctxt, using, mode, _) => (ctxt, using, mode, goal));
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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 (State (Node {context, facts, mode, goal = SOME goal}, nodes)) =
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      let
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        val Goal {statement, using, goal, before_qed, after_qed} = goal;
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        val goal' = make_goal (g (statement, using, goal, before_qed, after_qed));
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      in State (make_node (f context, facts, mode, SOME goal'), nodes) end
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  | map_goal f g (State (nd, node :: nodes)) =
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      let val State (node', nodes') = map_goal f g (State (node, nodes))
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      in map_context f (State (nd, node' :: nodes')) end
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  | map_goal _ _ state = state;
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fun set_goal goal = map_goal I (fn (statement, using, _, before_qed, after_qed) =>
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  (statement, using, goal, before_qed, after_qed));
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fun using_facts using = map_goal I (fn (statement, _, goal, before_qed, after_qed) =>
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  (statement, using, goal, before_qed, after_qed));
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local
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  fun find i state =
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    (case try current_goal state of
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      SOME (ctxt, goal) => (ctxt, (i, goal))
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    | NONE => find (i + 1) (close_block state handle ERROR _ => error "No goal present"));
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in val find_goal = find 0 end;
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fun get_goal state =
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  let val (ctxt, (_, {using, goal, ...})) = find_goal state
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  in (ctxt, (using, goal)) end;
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fun schematic_goal state =
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  let
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    val (_, (_, {statement = (_, propss), ...})) = find_goal state;
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    val tvars = fold (fold Term.add_tvars) propss [];
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    val vars = fold (fold Term.add_vars) propss [];
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  in not (null tvars andalso null vars) end;
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(** pretty_state **)
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val show_main_goal = ref false;
wenzelm@16539
   321
val verbose = ProofContext.verbose;
nipkow@13698
   322
wenzelm@14876
   323
val pretty_goals_local = Display.pretty_goals_aux o ProofContext.pp;
wenzelm@12085
   324
skalberg@15531
   325
fun pretty_facts _ _ NONE = []
skalberg@15531
   326
  | pretty_facts s ctxt (SOME ths) =
wenzelm@12055
   327
      [Pretty.big_list (s ^ "this:") (map (ProofContext.pretty_thm ctxt) ths), Pretty.str ""];
wenzelm@6756
   328
wenzelm@17359
   329
fun pretty_state nr state =
wenzelm@5820
   330
  let
wenzelm@17359
   331
    val {context, facts, mode, goal = _} = current state;
wenzelm@17359
   332
    val ref (_, _, bg) = Display.current_goals_markers;
wenzelm@5820
   333
wenzelm@5820
   334
    fun levels_up 0 = ""
wenzelm@17359
   335
      | levels_up 1 = "1 level up"
wenzelm@17359
   336
      | levels_up i = string_of_int i ^ " levels up";
wenzelm@5820
   337
wenzelm@11556
   338
    fun subgoals 0 = ""
wenzelm@17359
   339
      | subgoals 1 = "1 subgoal"
wenzelm@17359
   340
      | subgoals n = string_of_int n ^ " subgoals";
wenzelm@17359
   341
wenzelm@17359
   342
    fun description strs =
wenzelm@17359
   343
      (case filter_out (equal "") strs of [] => ""
wenzelm@17359
   344
      | strs' => enclose " (" ")" (commas strs'));
wenzelm@12146
   345
wenzelm@17859
   346
    fun prt_goal (SOME (ctxt, (i, {statement = (kind, _), using, goal, before_qed, after_qed}))) =
wenzelm@17359
   347
          pretty_facts "using " ctxt
wenzelm@17359
   348
            (if mode <> Backward orelse null using then NONE else SOME using) @
wenzelm@17359
   349
          [Pretty.str ("goal" ^ description [kind, levels_up (i div 2),
wenzelm@17359
   350
              subgoals (Thm.nprems_of goal)] ^ ":")] @
wenzelm@17359
   351
          pretty_goals_local ctxt bg (true, ! show_main_goal) (! Display.goals_limit) goal
wenzelm@17359
   352
      | prt_goal NONE = [];
wenzelm@6848
   353
wenzelm@17359
   354
    val prt_ctxt =
wenzelm@17359
   355
      if ! verbose orelse mode = Forward then ProofContext.pretty_context context
wenzelm@18670
   356
      else if mode = Backward then ProofContext.pretty_ctxt context
wenzelm@7575
   357
      else [];
wenzelm@17359
   358
  in
wenzelm@17359
   359
    [Pretty.str ("proof (" ^ mode_name mode ^ "): step " ^ string_of_int nr ^
wenzelm@17359
   360
      (if ! verbose then ", depth " ^ string_of_int (level state div 2 - 1) else "")),
wenzelm@17359
   361
      Pretty.str ""] @
wenzelm@17359
   362
    (if null prt_ctxt then [] else prt_ctxt @ [Pretty.str ""]) @
wenzelm@17359
   363
    (if ! verbose orelse mode = Forward then
wenzelm@17359
   364
       pretty_facts "" context facts @ prt_goal (try find_goal state)
wenzelm@17359
   365
     else if mode = Chain then pretty_facts "picking " context facts
wenzelm@17359
   366
     else prt_goal (try find_goal state))
wenzelm@17359
   367
  end;
wenzelm@5820
   368
wenzelm@12085
   369
fun pretty_goals main state =
wenzelm@19188
   370
  let val (ctxt, (_, goal)) = get_goal state
wenzelm@17359
   371
  in pretty_goals_local ctxt "" (false, main) (! Display.goals_limit) goal end;
wenzelm@10320
   372
wenzelm@5820
   373
wenzelm@5820
   374
wenzelm@5820
   375
(** proof steps **)
wenzelm@5820
   376
wenzelm@17359
   377
(* refine via method *)
wenzelm@5820
   378
wenzelm@8234
   379
local
wenzelm@8234
   380
wenzelm@16146
   381
fun goalN i = "goal" ^ string_of_int i;
wenzelm@16146
   382
fun goals st = map goalN (1 upto Thm.nprems_of st);
wenzelm@16146
   383
wenzelm@16146
   384
fun no_goal_cases st = map (rpair NONE) (goals st);
wenzelm@16146
   385
wenzelm@16146
   386
fun goal_cases st =
wenzelm@18607
   387
  RuleCases.make_common true (Thm.theory_of_thm st, Thm.prop_of st) (map (rpair []) (goals st));
wenzelm@16146
   388
wenzelm@17112
   389
fun apply_method current_context meth_fun state =
wenzelm@6848
   390
  let
wenzelm@17859
   391
    val (goal_ctxt, (_, {statement, using, goal, before_qed, after_qed})) = find_goal state;
wenzelm@17112
   392
    val meth = meth_fun (if current_context then context_of state else goal_ctxt);
wenzelm@16146
   393
  in
wenzelm@18228
   394
    Method.apply meth using goal |> Seq.map (fn (meth_cases, goal') =>
wenzelm@6848
   395
      state
wenzelm@16146
   396
      |> map_goal
wenzelm@18475
   397
          (ProofContext.add_cases false (no_goal_cases goal @ goal_cases goal') #>
wenzelm@18475
   398
           ProofContext.add_cases true meth_cases)
wenzelm@17859
   399
          (K (statement, using, goal', before_qed, after_qed)))
wenzelm@16146
   400
  end;
wenzelm@5820
   401
wenzelm@19188
   402
fun select_goals n meth state =
wenzelm@19224
   403
  state
wenzelm@19224
   404
  |> (#2 o #2 o get_goal)
wenzelm@19224
   405
  |> ALLGOALS Tactic.conjunction_tac
wenzelm@19224
   406
  |> Seq.maps (fn goal =>
wenzelm@19188
   407
    state
wenzelm@19224
   408
    |> Seq.lift set_goal (Goal.extract 1 n goal |> Seq.maps (Tactic.conjunction_tac 1))
wenzelm@19188
   409
    |> Seq.maps meth
wenzelm@19188
   410
    |> Seq.maps (fn state' => state'
wenzelm@19188
   411
      |> Seq.lift set_goal (Goal.retrofit 1 n (#2 (#2 (get_goal state'))) goal))
wenzelm@19224
   412
    |> Seq.maps (apply_method true (K Method.succeed)));
wenzelm@19188
   413
wenzelm@17112
   414
fun apply_text cc text state =
wenzelm@17112
   415
  let
wenzelm@17112
   416
    val thy = theory_of state;
wenzelm@17112
   417
wenzelm@17112
   418
    fun eval (Method.Basic m) = apply_method cc m
wenzelm@17112
   419
      | eval (Method.Source src) = apply_method cc (Method.method thy src)
wenzelm@20031
   420
      | eval (Method.Source_i src) = apply_method cc (Method.method_i thy src)
wenzelm@17112
   421
      | eval (Method.Then txts) = Seq.EVERY (map eval txts)
wenzelm@17112
   422
      | eval (Method.Orelse txts) = Seq.FIRST (map eval txts)
wenzelm@17112
   423
      | eval (Method.Try txt) = Seq.TRY (eval txt)
wenzelm@19188
   424
      | eval (Method.Repeat1 txt) = Seq.REPEAT1 (eval txt)
wenzelm@19188
   425
      | eval (Method.SelectGoals (n, txt)) = select_goals n (eval txt);
wenzelm@17112
   426
  in eval text state end;
wenzelm@17112
   427
wenzelm@8234
   428
in
wenzelm@8234
   429
wenzelm@17112
   430
val refine = apply_text true;
wenzelm@17112
   431
val refine_end = apply_text false;
wenzelm@8234
   432
wenzelm@18908
   433
fun refine_insert [] = I
wenzelm@18908
   434
  | 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@20208
   441
fun goal_tac rule =
wenzelm@18186
   442
  Tactic.norm_hhf_tac THEN' Tactic.rtac rule THEN_ALL_NEW
wenzelm@18186
   443
    (Tactic.norm_hhf_tac THEN' (SUBGOAL (fn (goal, i) =>
wenzelm@18186
   444
      if can Logic.unprotect (Logic.strip_assums_concl goal) then
wenzelm@18186
   445
        Tactic.etac Drule.protectI i
wenzelm@18186
   446
      else all_tac)));
wenzelm@11816
   447
wenzelm@19915
   448
fun refine_goals print_rule inner raw_rules state =
wenzelm@19915
   449
  let
wenzelm@19915
   450
    val (outer, (_, goal)) = get_goal state;
wenzelm@20208
   451
    fun refine rule st = (print_rule outer rule; FINDGOAL (goal_tac rule) st);
wenzelm@19915
   452
  in
wenzelm@19915
   453
    raw_rules
wenzelm@20309
   454
    |> ProofContext.goal_export inner outer
wenzelm@20309
   455
    |> (fn rules => Seq.lift set_goal (EVERY (map refine rules) goal) state)
wenzelm@19915
   456
  end;
wenzelm@17359
   457
wenzelm@6932
   458
wenzelm@17359
   459
(* conclude_goal *)
wenzelm@6932
   460
wenzelm@18503
   461
fun conclude_goal state goal propss =
wenzelm@5820
   462
  let
wenzelm@19774
   463
    val thy = theory_of state;
wenzelm@5820
   464
    val ctxt = context_of state;
wenzelm@19774
   465
    val string_of_term = ProofContext.string_of_term ctxt;
wenzelm@19774
   466
    val string_of_thm = ProofContext.string_of_thm ctxt;
wenzelm@5820
   467
wenzelm@17359
   468
    val ngoals = Thm.nprems_of goal;
wenzelm@19774
   469
    val _ = ngoals = 0 orelse error (Pretty.string_of (Pretty.chunks
wenzelm@17359
   470
        (pretty_goals_local ctxt "" (true, ! show_main_goal) (! Display.goals_limit) goal @
wenzelm@19774
   471
          [Pretty.str (string_of_int ngoals ^ " unsolved goal(s)!")])));
wenzelm@20224
   472
wenzelm@20224
   473
    val extra_hyps = Assumption.extra_hyps ctxt goal;
wenzelm@20224
   474
    val _ = null extra_hyps orelse
wenzelm@20224
   475
      error ("Additional hypotheses:\n" ^ cat_lines (map string_of_term extra_hyps));
wenzelm@5820
   476
wenzelm@19774
   477
    val (results, th) = `(Conjunction.elim_precise (map length propss)) (Goal.conclude goal)
wenzelm@19774
   478
      handle THM _ => error ("Lost goal structure:\n" ^ string_of_thm goal);
wenzelm@19862
   479
    val _ = Unify.matches_list thy (flat propss) (map Thm.prop_of (flat results)) orelse
wenzelm@19774
   480
      error ("Proved a different theorem:\n" ^ string_of_thm th);
wenzelm@19774
   481
  in results end;
wenzelm@5820
   482
wenzelm@5820
   483
wenzelm@5820
   484
wenzelm@5820
   485
(*** structured proof commands ***)
wenzelm@5820
   486
wenzelm@17112
   487
(** context elements **)
wenzelm@5820
   488
wenzelm@17112
   489
(* bindings *)
wenzelm@5820
   490
wenzelm@16813
   491
local
wenzelm@16813
   492
wenzelm@17359
   493
fun gen_bind bind args state =
wenzelm@5820
   494
  state
wenzelm@5820
   495
  |> assert_forward
wenzelm@18308
   496
  |> map_context (bind args #> snd)
wenzelm@17359
   497
  |> put_facts NONE;
wenzelm@5820
   498
wenzelm@16813
   499
in
wenzelm@16813
   500
wenzelm@8617
   501
val match_bind = gen_bind (ProofContext.match_bind false);
wenzelm@8617
   502
val match_bind_i = gen_bind (ProofContext.match_bind_i false);
wenzelm@8617
   503
val let_bind = gen_bind (ProofContext.match_bind true);
wenzelm@8617
   504
val let_bind_i = gen_bind (ProofContext.match_bind_i true);
wenzelm@5820
   505
wenzelm@16813
   506
end;
wenzelm@16813
   507
wenzelm@5820
   508
wenzelm@17359
   509
(* fix *)
wenzelm@9196
   510
wenzelm@12714
   511
local
wenzelm@12714
   512
wenzelm@18670
   513
fun gen_fix add_fixes args =
wenzelm@17359
   514
  assert_forward
wenzelm@19846
   515
  #> map_context (snd o add_fixes args)
wenzelm@17359
   516
  #> put_facts NONE;
wenzelm@5820
   517
wenzelm@16813
   518
in
wenzelm@16813
   519
wenzelm@18670
   520
val fix = gen_fix ProofContext.add_fixes;
wenzelm@18670
   521
val fix_i = gen_fix ProofContext.add_fixes_i;
wenzelm@5820
   522
wenzelm@16813
   523
end;
wenzelm@16813
   524
wenzelm@5820
   525
wenzelm@17359
   526
(* assume etc. *)
wenzelm@5820
   527
wenzelm@16813
   528
local
wenzelm@16813
   529
wenzelm@17112
   530
fun gen_assume asm prep_att exp args state =
wenzelm@5820
   531
  state
wenzelm@5820
   532
  |> assert_forward
wenzelm@17112
   533
  |> map_context_result (asm exp (Attrib.map_specs (prep_att (theory_of state)) args))
wenzelm@17359
   534
  |> these_factss [] |> #2;
wenzelm@6932
   535
wenzelm@16813
   536
in
wenzelm@16813
   537
wenzelm@18728
   538
val assm      = gen_assume ProofContext.add_assms Attrib.attribute;
wenzelm@18670
   539
val assm_i    = gen_assume ProofContext.add_assms_i (K I);
wenzelm@20224
   540
val assume    = assm Assumption.assume_export;
wenzelm@20224
   541
val assume_i  = assm_i Assumption.assume_export;
wenzelm@20224
   542
val presume   = assm Assumption.presume_export;
wenzelm@20224
   543
val presume_i = assm_i Assumption.presume_export;
wenzelm@5820
   544
wenzelm@16813
   545
end;
wenzelm@16813
   546
wenzelm@7271
   547
wenzelm@17359
   548
(* def *)
wenzelm@11891
   549
wenzelm@16813
   550
local
wenzelm@16813
   551
wenzelm@20913
   552
fun gen_def prep_att prep_vars prep_binds args state =
wenzelm@11891
   553
  let
wenzelm@11891
   554
    val _ = assert_forward state;
wenzelm@17112
   555
    val thy = theory_of state;
wenzelm@20913
   556
    val ctxt = context_of state;
wenzelm@11891
   557
wenzelm@20913
   558
    val (raw_name_atts, (raw_vars, raw_rhss)) = args |> split_list ||> split_list;
wenzelm@20913
   559
    val name_atts = map (apsnd (map (prep_att thy))) raw_name_atts;
wenzelm@11891
   560
  in
wenzelm@20913
   561
    state
wenzelm@20913
   562
    |> map_context_result (prep_vars (map (fn (x, mx) => (x, NONE, mx)) raw_vars))
wenzelm@20913
   563
    |>> map (fn (x, _, mx) => (x, mx))
wenzelm@20913
   564
    |-> (fn vars =>
wenzelm@20913
   565
      map_context_result (prep_binds false (map swap raw_rhss))
wenzelm@20913
   566
      #-> (fn rhss => map_context_result (LocalDefs.add_defs (vars ~~ (name_atts ~~ rhss)))))
wenzelm@20913
   567
    |-> (put_facts o SOME o map (#2 o #2))
wenzelm@11891
   568
  end;
wenzelm@11891
   569
wenzelm@16813
   570
in
wenzelm@16813
   571
wenzelm@20913
   572
val def = gen_def Attrib.attribute ProofContext.read_vars ProofContext.match_bind;
wenzelm@20913
   573
val def_i = gen_def (K I) ProofContext.cert_vars ProofContext.match_bind_i;
wenzelm@11891
   574
wenzelm@16813
   575
end;
wenzelm@16813
   576
wenzelm@11891
   577
wenzelm@8374
   578
wenzelm@17112
   579
(** facts **)
wenzelm@5820
   580
wenzelm@17359
   581
(* chain *)
wenzelm@5820
   582
wenzelm@17359
   583
val chain =
wenzelm@17359
   584
  assert_forward
wenzelm@17359
   585
  #> tap the_facts
wenzelm@17359
   586
  #> enter_chain;
wenzelm@5820
   587
wenzelm@17359
   588
fun chain_facts facts =
wenzelm@17359
   589
  put_facts (SOME facts)
wenzelm@17359
   590
  #> chain;
wenzelm@5820
   591
wenzelm@5820
   592
wenzelm@17359
   593
(* note etc. *)
wenzelm@17112
   594
wenzelm@17166
   595
fun no_binding args = map (pair ("", [])) args;
wenzelm@17112
   596
wenzelm@17112
   597
local
wenzelm@17112
   598
wenzelm@17359
   599
fun gen_thmss note_ctxt more_facts opt_chain opt_result prep_atts args state =
wenzelm@17112
   600
  state
wenzelm@17112
   601
  |> assert_forward
wenzelm@17112
   602
  |> map_context_result (note_ctxt (Attrib.map_facts (prep_atts (theory_of state)) args))
wenzelm@17112
   603
  |> these_factss (more_facts state)
wenzelm@17359
   604
  ||> opt_chain
wenzelm@17359
   605
  |> opt_result;
wenzelm@17112
   606
wenzelm@17112
   607
in
wenzelm@17112
   608
wenzelm@18728
   609
val note_thmss = gen_thmss ProofContext.note_thmss (K []) I #2 Attrib.attribute;
wenzelm@17359
   610
val note_thmss_i = gen_thmss ProofContext.note_thmss_i (K []) I #2 (K I);
wenzelm@17112
   611
wenzelm@17112
   612
val from_thmss =
wenzelm@18728
   613
  gen_thmss ProofContext.note_thmss (K []) chain #2 Attrib.attribute o no_binding;
wenzelm@17359
   614
val from_thmss_i = gen_thmss ProofContext.note_thmss_i (K []) chain #2 (K I) o no_binding;
wenzelm@17112
   615
wenzelm@17112
   616
val with_thmss =
wenzelm@18728
   617
  gen_thmss ProofContext.note_thmss the_facts chain #2 Attrib.attribute o no_binding;
wenzelm@17359
   618
val with_thmss_i = gen_thmss ProofContext.note_thmss_i the_facts chain #2 (K I) o no_binding;
wenzelm@17359
   619
wenzelm@18808
   620
val local_results =
wenzelm@18808
   621
  gen_thmss ProofContext.note_thmss_i (K []) I I (K I) o map (apsnd Thm.simple_fact);
wenzelm@18808
   622
fun global_results kind = PureThy.note_thmss_i kind o map (apsnd Thm.simple_fact);
wenzelm@17359
   623
wenzelm@17359
   624
fun get_thmss state srcs = the_facts (note_thmss [(("", []), srcs)] state);
wenzelm@17359
   625
fun simple_note_thms name thms = note_thmss_i [((name, []), [(thms, [])])];
wenzelm@17112
   626
wenzelm@17112
   627
end;
wenzelm@17112
   628
wenzelm@17112
   629
wenzelm@18548
   630
(* using/unfolding *)
wenzelm@17112
   631
wenzelm@17112
   632
local
wenzelm@17112
   633
wenzelm@18548
   634
fun gen_using f g note prep_atts args state =
wenzelm@17112
   635
  state
wenzelm@17112
   636
  |> assert_backward
wenzelm@17166
   637
  |> map_context_result (note (Attrib.map_facts (prep_atts (theory_of state)) (no_binding args)))
wenzelm@18843
   638
  |> (fn (named_facts, state') =>
wenzelm@18843
   639
    state' |> map_goal I (fn (statement, using, goal, before_qed, after_qed) =>
wenzelm@18843
   640
      let
wenzelm@18843
   641
        val ctxt = context_of state';
wenzelm@19482
   642
        val ths = maps snd named_facts;
wenzelm@18843
   643
      in (statement, f ctxt ths using, g ctxt ths goal, before_qed, after_qed) end));
wenzelm@18548
   644
wenzelm@18843
   645
fun append_using _ ths using = using @ ths;
wenzelm@18878
   646
fun unfold_using ctxt ths = map (LocalDefs.unfold ctxt ths);
wenzelm@18878
   647
val unfold_goals = LocalDefs.unfold_goals;
wenzelm@17112
   648
wenzelm@17112
   649
in
wenzelm@17112
   650
wenzelm@18843
   651
val using = gen_using append_using (K (K I)) ProofContext.note_thmss Attrib.attribute;
wenzelm@18843
   652
val using_i = gen_using append_using (K (K I)) ProofContext.note_thmss_i (K I);
wenzelm@18826
   653
val unfolding = gen_using unfold_using unfold_goals ProofContext.note_thmss Attrib.attribute;
wenzelm@18826
   654
val unfolding_i = gen_using unfold_using unfold_goals ProofContext.note_thmss_i (K I);
wenzelm@17112
   655
wenzelm@17112
   656
end;
wenzelm@17112
   657
wenzelm@17112
   658
wenzelm@17112
   659
(* case *)
wenzelm@17112
   660
wenzelm@17112
   661
local
wenzelm@17112
   662
wenzelm@17112
   663
fun gen_invoke_case prep_att (name, xs, raw_atts) state =
wenzelm@17112
   664
  let
wenzelm@17112
   665
    val atts = map (prep_att (theory_of state)) raw_atts;
wenzelm@19078
   666
    val (asms, state') = state |> map_context_result (fn ctxt =>
wenzelm@19078
   667
      ctxt |> ProofContext.apply_case (ProofContext.get_case ctxt name xs));
wenzelm@19585
   668
    val assumptions = asms |> map (fn (a, ts) => ((a, atts), map (rpair []) ts));
wenzelm@17112
   669
  in
wenzelm@17112
   670
    state'
wenzelm@17359
   671
    |> map_context (ProofContext.qualified_names #> ProofContext.no_base_names)
wenzelm@17112
   672
    |> assume_i assumptions
wenzelm@17976
   673
    |> add_binds_i AutoBind.no_facts
wenzelm@17112
   674
    |> map_context (ProofContext.restore_naming (context_of state))
wenzelm@17112
   675
    |> `the_facts |-> simple_note_thms name
wenzelm@17112
   676
  end;
wenzelm@17112
   677
wenzelm@17112
   678
in
wenzelm@17112
   679
wenzelm@18728
   680
val invoke_case = gen_invoke_case Attrib.attribute;
wenzelm@17112
   681
val invoke_case_i = gen_invoke_case (K I);
wenzelm@17112
   682
wenzelm@17112
   683
end;
wenzelm@17112
   684
wenzelm@17112
   685
wenzelm@17112
   686
wenzelm@17359
   687
(** proof structure **)
wenzelm@17359
   688
wenzelm@17359
   689
(* blocks *)
wenzelm@17359
   690
wenzelm@17359
   691
val begin_block =
wenzelm@17359
   692
  assert_forward
wenzelm@17359
   693
  #> open_block
wenzelm@17359
   694
  #> put_goal NONE
wenzelm@17359
   695
  #> open_block;
wenzelm@17359
   696
wenzelm@17359
   697
val next_block =
wenzelm@17359
   698
  assert_forward
wenzelm@17359
   699
  #> close_block
wenzelm@17359
   700
  #> open_block
wenzelm@17359
   701
  #> put_goal NONE
wenzelm@17359
   702
  #> put_facts NONE;
wenzelm@17359
   703
wenzelm@17359
   704
fun end_block state =
wenzelm@17359
   705
  state
wenzelm@17359
   706
  |> assert_forward
wenzelm@17359
   707
  |> close_block
wenzelm@17359
   708
  |> assert_current_goal false
wenzelm@17359
   709
  |> close_block
wenzelm@17359
   710
  |> export_facts state;
wenzelm@17359
   711
wenzelm@17359
   712
wenzelm@17359
   713
(* sub-proofs *)
wenzelm@17359
   714
wenzelm@17359
   715
fun proof opt_text =
wenzelm@17359
   716
  assert_backward
wenzelm@17859
   717
  #> refine (the_default Method.default_text opt_text)
wenzelm@17359
   718
  #> Seq.map (using_facts [] #> enter_forward);
wenzelm@17359
   719
wenzelm@17359
   720
fun end_proof bot txt =
wenzelm@17359
   721
  assert_forward
wenzelm@17359
   722
  #> assert_bottom bot
wenzelm@17359
   723
  #> close_block
wenzelm@17359
   724
  #> assert_current_goal true
wenzelm@17359
   725
  #> using_facts []
wenzelm@17859
   726
  #> `before_qed #-> (refine o the_default Method.succeed_text)
wenzelm@17859
   727
  #> Seq.maps (refine (Method.finish_text txt));
wenzelm@17359
   728
wenzelm@17359
   729
wenzelm@17359
   730
(* unstructured refinement *)
wenzelm@17359
   731
wenzelm@17359
   732
fun defer i = assert_no_chain #> refine (Method.Basic (K (Method.defer i)));
wenzelm@17359
   733
fun prefer i = assert_no_chain #> refine (Method.Basic (K (Method.prefer i)));
wenzelm@17359
   734
wenzelm@17359
   735
fun apply text = assert_backward #> refine text #> Seq.map (using_facts []);
wenzelm@17359
   736
fun apply_end text = assert_forward #> refine_end text;
wenzelm@17359
   737
wenzelm@17359
   738
wenzelm@17359
   739
wenzelm@17112
   740
(** goals **)
wenzelm@17112
   741
wenzelm@17359
   742
(* goal names *)
wenzelm@17359
   743
wenzelm@17359
   744
fun prep_names prep_att stmt =
wenzelm@17359
   745
  let
wenzelm@17359
   746
    val (names_attss, propp) = split_list (Attrib.map_specs prep_att stmt);
wenzelm@17359
   747
    val (names, attss) = split_list names_attss;
wenzelm@17359
   748
  in ((names, attss), propp) end;
wenzelm@5820
   749
wenzelm@17359
   750
fun goal_names target name names =
wenzelm@17450
   751
  (case target of NONE => "" | SOME "" => "" | SOME loc => " (in " ^ loc ^ ")") ^
wenzelm@17359
   752
  (if name = "" then "" else " " ^ name) ^
wenzelm@17359
   753
  (case filter_out (equal "") names of [] => ""
wenzelm@17359
   754
  | nms => " " ^ enclose "(" ")" (space_implode " and " (Library.take (7, nms) @
wenzelm@17359
   755
      (if length nms > 7 then ["..."] else []))));
wenzelm@17359
   756
wenzelm@16813
   757
wenzelm@17359
   758
(* generic goals *)
wenzelm@17359
   759
wenzelm@19774
   760
local
wenzelm@19774
   761
wenzelm@19846
   762
fun implicit_vars dest add props =
wenzelm@19846
   763
  let
wenzelm@19846
   764
    val (explicit_vars, props') = take_prefix (can dest) props |>> map dest;
wenzelm@19846
   765
    val vars = rev (subtract (op =) explicit_vars (fold add props []));
wenzelm@19846
   766
    val _ =
wenzelm@19846
   767
      if null vars then ()
wenzelm@19846
   768
      else warning ("Goal statement contains unbound schematic variable(s): " ^
wenzelm@19846
   769
        commas_quote (map (Term.string_of_vname o fst) vars));
wenzelm@19846
   770
  in (rev vars, props') end;
wenzelm@19774
   771
wenzelm@19774
   772
fun refine_terms n =
wenzelm@19774
   773
  refine (Method.Basic (K (Method.RAW_METHOD
wenzelm@19774
   774
    (K (HEADGOAL (PRECISE_CONJUNCTS n
wenzelm@19774
   775
      (HEADGOAL (CONJUNCTS (ALLGOALS (rtac Drule.termI))))))))))
wenzelm@19774
   776
  #> Seq.hd;
wenzelm@19774
   777
wenzelm@19774
   778
in
wenzelm@17359
   779
wenzelm@17859
   780
fun generic_goal prepp kind before_qed after_qed raw_propp state =
wenzelm@5820
   781
  let
wenzelm@17359
   782
    val thy = theory_of state;
wenzelm@17359
   783
    val chaining = can assert_chain state;
wenzelm@17359
   784
wenzelm@17359
   785
    val ((propss, after_ctxt), goal_state) =
wenzelm@5936
   786
      state
wenzelm@5936
   787
      |> assert_forward_or_chain
wenzelm@5936
   788
      |> enter_forward
wenzelm@17359
   789
      |> open_block
wenzelm@17859
   790
      |> map_context_result (fn ctxt => swap (prepp (ctxt, raw_propp)));
wenzelm@19482
   791
    val props = flat propss;
wenzelm@15703
   792
wenzelm@19846
   793
    val (_, props') =
wenzelm@19846
   794
      implicit_vars (dest_TVar o Logic.dest_type o Logic.dest_term) Term.add_tvars props;
wenzelm@19846
   795
    val (vars, _) = implicit_vars (dest_Var o Logic.dest_term) Term.add_vars props';
wenzelm@19774
   796
wenzelm@19774
   797
    val propss' = map (Logic.mk_term o Var) vars :: propss;
wenzelm@19774
   798
    val goal = Goal.init (Thm.cterm_of thy (Logic.mk_conjunction_list2 propss'));
wenzelm@18124
   799
    val after_qed' = after_qed |>> (fn after_local =>
wenzelm@18124
   800
      fn results => map_context after_ctxt #> after_local results);
wenzelm@5820
   801
  in
wenzelm@17359
   802
    goal_state
wenzelm@19900
   803
    |> map_context (Variable.set_body true)
wenzelm@19774
   804
    |> put_goal (SOME (make_goal ((kind, propss'), [], goal, before_qed, after_qed')))
wenzelm@18475
   805
    |> map_context (ProofContext.add_cases false (AutoBind.cases thy props))
wenzelm@17359
   806
    |> map_context (ProofContext.auto_bind_goal props)
wenzelm@17359
   807
    |> K chaining ? (`the_facts #-> using_facts)
wenzelm@17359
   808
    |> put_facts NONE
wenzelm@17359
   809
    |> open_block
wenzelm@17359
   810
    |> put_goal NONE
wenzelm@5820
   811
    |> enter_backward
wenzelm@19774
   812
    |> K (not (null vars)) ? refine_terms (length propss')
wenzelm@17450
   813
    |> K (null props) ? (refine (Method.Basic Method.assumption) #> Seq.hd)
wenzelm@5820
   814
  end;
wenzelm@5820
   815
wenzelm@17359
   816
fun generic_qed state =
wenzelm@12503
   817
  let
wenzelm@18548
   818
    val (goal_ctxt, {statement = (_, stmt), using = _, goal, before_qed = _, after_qed}) =
wenzelm@17859
   819
      current_goal state;
wenzelm@8617
   820
    val outer_state = state |> close_block;
wenzelm@8617
   821
    val outer_ctxt = context_of outer_state;
wenzelm@8617
   822
wenzelm@18503
   823
    val props =
wenzelm@19774
   824
      flat (tl stmt)
wenzelm@19915
   825
      |> Variable.exportT_terms goal_ctxt outer_ctxt;
wenzelm@17359
   826
    val results =
wenzelm@19774
   827
      tl (conclude_goal state goal stmt)
wenzelm@20309
   828
      |> burrow (ProofContext.export goal_ctxt outer_ctxt);
wenzelm@17359
   829
  in
wenzelm@17359
   830
    outer_state
wenzelm@17359
   831
    |> map_context (ProofContext.auto_bind_facts props)
wenzelm@18124
   832
    |> pair (after_qed, results)
wenzelm@17359
   833
  end;
wenzelm@17359
   834
wenzelm@19774
   835
end;
wenzelm@19774
   836
wenzelm@9469
   837
wenzelm@17359
   838
(* local goals *)
wenzelm@17359
   839
wenzelm@17859
   840
fun local_goal print_results prep_att prepp kind before_qed after_qed stmt state =
wenzelm@17359
   841
  let
wenzelm@17359
   842
    val ((names, attss), propp) = prep_names (prep_att (theory_of state)) stmt;
wenzelm@17359
   843
wenzelm@18124
   844
    fun after_qed' results =
wenzelm@18808
   845
      local_results ((names ~~ attss) ~~ results)
wenzelm@17359
   846
      #-> (fn res => tap (fn st => print_results (context_of st) ((kind, ""), res) : unit))
wenzelm@18124
   847
      #> after_qed results;
wenzelm@5820
   848
  in
wenzelm@17359
   849
    state
wenzelm@18124
   850
    |> generic_goal prepp (kind ^ goal_names NONE "" names) before_qed (after_qed', K I) propp
wenzelm@19900
   851
    |> tap (Variable.warn_extra_tfrees (context_of state) o context_of)
wenzelm@5820
   852
  end;
wenzelm@5820
   853
wenzelm@17359
   854
fun local_qed txt =
wenzelm@20309
   855
  end_proof false txt #>
wenzelm@20309
   856
  Seq.maps (generic_qed #-> (fn ((after_qed, _), results) => after_qed results));
wenzelm@5820
   857
wenzelm@5820
   858
wenzelm@17359
   859
(* global goals *)
wenzelm@17359
   860
wenzelm@17359
   861
fun global_goal print_results prep_att prepp
wenzelm@17859
   862
    kind before_qed after_qed target (name, raw_atts) stmt ctxt =
wenzelm@17359
   863
  let
wenzelm@17359
   864
    val thy = ProofContext.theory_of ctxt;
wenzelm@17359
   865
    val thy_ctxt = ProofContext.init thy;
wenzelm@17359
   866
wenzelm@17359
   867
    val atts = map (prep_att thy) raw_atts;
wenzelm@17359
   868
    val ((names, attss), propp) = prep_names (prep_att thy) stmt;
wenzelm@17359
   869
wenzelm@17450
   870
    fun store_results prfx res =
wenzelm@17450
   871
      K (prfx <> "") ? (Sign.add_path prfx #> Sign.no_base_names)
wenzelm@17450
   872
      #> global_results kind ((names ~~ attss) ~~ res)
wenzelm@17359
   873
      #-> (fn res' =>
wenzelm@17359
   874
        (print_results thy_ctxt ((kind, name), res') : unit;
wenzelm@19482
   875
          #2 o global_results kind [((name, atts), maps #2 res')]))
wenzelm@17450
   876
      #> Sign.restore_naming thy;
wenzelm@17359
   877
wenzelm@18124
   878
    fun after_qed' results =
wenzelm@20363
   879
      ProofContext.theory
wenzelm@20913
   880
        (case target of
wenzelm@20913
   881
          NONE => I
wenzelm@20363
   882
        | SOME prfx => store_results (NameSpace.base prfx)
wenzelm@20913
   883
            (map (ProofContext.export_standard ctxt thy_ctxt) results))
wenzelm@18124
   884
      #> after_qed results;
wenzelm@17359
   885
  in
wenzelm@17359
   886
    init ctxt
wenzelm@18670
   887
    |> generic_goal (prepp #> ProofContext.auto_fixes) (kind ^ goal_names target name names)
wenzelm@18124
   888
      before_qed (K Seq.single, after_qed') propp
wenzelm@17359
   889
  end;
wenzelm@12065
   890
wenzelm@18678
   891
fun check_result msg sq =
wenzelm@17112
   892
  (case Seq.pull sq of
wenzelm@18678
   893
    NONE => error msg
wenzelm@19475
   894
  | SOME (s', sq') => Seq.cons s' sq');
wenzelm@17112
   895
wenzelm@17359
   896
fun global_qeds txt =
wenzelm@17359
   897
  end_proof true txt
wenzelm@20309
   898
  #> Seq.map (generic_qed #> (fn (((_, after_qed), results), state) =>
wenzelm@20363
   899
    after_qed results (context_of state)))
wenzelm@17112
   900
  |> Seq.DETERM;   (*backtracking may destroy theory!*)
wenzelm@17112
   901
wenzelm@18678
   902
fun global_qed txt =
wenzelm@18678
   903
  global_qeds txt
wenzelm@18678
   904
  #> check_result "Failed to finish proof"
wenzelm@18678
   905
  #> Seq.hd;
wenzelm@12959
   906
wenzelm@5820
   907
wenzelm@17359
   908
(* concluding steps *)
wenzelm@17112
   909
wenzelm@17359
   910
fun local_terminal_proof (text, opt_text) =
wenzelm@17359
   911
  proof (SOME text) #> Seq.maps (local_qed (opt_text, true));
wenzelm@17112
   912
wenzelm@17112
   913
val local_default_proof = local_terminal_proof (Method.default_text, NONE);
wenzelm@17112
   914
val local_immediate_proof = local_terminal_proof (Method.this_text, NONE);
wenzelm@17359
   915
val local_done_proof = proof (SOME Method.done_text) #> Seq.maps (local_qed (NONE, false));
wenzelm@17359
   916
fun local_skip_proof int = local_terminal_proof (Method.sorry_text int, NONE);
wenzelm@17112
   917
wenzelm@18678
   918
fun global_term_proof immed (text, opt_text) =
wenzelm@18678
   919
  proof (SOME text)
wenzelm@18678
   920
  #> check_result "Terminal proof method failed"
wenzelm@18678
   921
  #> Seq.maps (global_qeds (opt_text, immed))
wenzelm@18678
   922
  #> check_result "Failed to finish proof (after successful terminal method)"
wenzelm@18678
   923
  #> Seq.hd;
wenzelm@17112
   924
wenzelm@17112
   925
val global_terminal_proof = global_term_proof true;
wenzelm@17112
   926
val global_default_proof = global_terminal_proof (Method.default_text, NONE);
wenzelm@17112
   927
val global_immediate_proof = global_terminal_proof (Method.this_text, NONE);
wenzelm@17112
   928
val global_done_proof = global_term_proof false (Method.done_text, NONE);
wenzelm@17359
   929
fun global_skip_proof int = global_terminal_proof (Method.sorry_text int, NONE);
wenzelm@5820
   930
wenzelm@6896
   931
wenzelm@17359
   932
(* common goal statements *)
wenzelm@17359
   933
wenzelm@17359
   934
local
wenzelm@17359
   935
wenzelm@17859
   936
fun gen_have prep_att prepp before_qed after_qed stmt int =
wenzelm@17859
   937
  local_goal (ProofDisplay.print_results int) prep_att prepp "have" before_qed after_qed stmt;
wenzelm@6896
   938
wenzelm@17859
   939
fun gen_show prep_att prepp before_qed after_qed stmt int state =
wenzelm@17359
   940
  let
wenzelm@17359
   941
    val testing = ref false;
wenzelm@17359
   942
    val rule = ref (NONE: thm option);
wenzelm@17359
   943
    fun fail_msg ctxt =
wenzelm@17359
   944
      "Local statement will fail to solve any pending goal" ::
wenzelm@17359
   945
      (case ! rule of NONE => [] | SOME th => [ProofDisplay.string_of_rule ctxt "Failed" th])
wenzelm@17359
   946
      |> cat_lines;
wenzelm@6896
   947
wenzelm@17359
   948
    fun print_results ctxt res =
wenzelm@17359
   949
      if ! testing then () else ProofDisplay.print_results int ctxt res;
wenzelm@17359
   950
    fun print_rule ctxt th =
wenzelm@17359
   951
      if ! testing then rule := SOME th
wenzelm@17359
   952
      else if int then priority (ProofDisplay.string_of_rule ctxt "Successful" th)
wenzelm@17359
   953
      else ();
wenzelm@17359
   954
    val test_proof =
wenzelm@17359
   955
      (Seq.pull oo local_skip_proof) true
wenzelm@17359
   956
      |> setmp testing true
wenzelm@17359
   957
      |> setmp proofs 0
wenzelm@17359
   958
      |> capture;
wenzelm@6896
   959
wenzelm@18124
   960
    fun after_qed' results =
wenzelm@19482
   961
      refine_goals print_rule (context_of state) (flat results)
wenzelm@18124
   962
      #> Seq.maps (after_qed results);
wenzelm@17359
   963
  in
wenzelm@17359
   964
    state
wenzelm@17859
   965
    |> local_goal print_results prep_att prepp "show" before_qed after_qed' stmt
wenzelm@17359
   966
    |> K int ? (fn goal_state =>
wenzelm@17359
   967
      (case test_proof goal_state of
wenzelm@17359
   968
        Result (SOME _) => goal_state
wenzelm@18678
   969
      | Result NONE => error (fail_msg (context_of goal_state))
wenzelm@17359
   970
      | Exn Interrupt => raise Interrupt
wenzelm@17359
   971
      | Exn exn => raise EXCEPTION (exn, fail_msg (context_of goal_state))))
wenzelm@17359
   972
  end;
wenzelm@17359
   973
wenzelm@17859
   974
fun gen_theorem prep_att prepp kind before_qed after_qed target a =
wenzelm@17859
   975
  global_goal ProofDisplay.present_results prep_att prepp kind before_qed after_qed target a;
wenzelm@17359
   976
wenzelm@17359
   977
in
wenzelm@17359
   978
wenzelm@18728
   979
val have = gen_have Attrib.attribute ProofContext.bind_propp;
wenzelm@17359
   980
val have_i = gen_have (K I) ProofContext.bind_propp_i;
wenzelm@18728
   981
val show = gen_show Attrib.attribute ProofContext.bind_propp;
wenzelm@17359
   982
val show_i = gen_show (K I) ProofContext.bind_propp_i;
wenzelm@18728
   983
val theorem = gen_theorem Attrib.attribute ProofContext.bind_propp_schematic;
wenzelm@17359
   984
val theorem_i = gen_theorem (K I) ProofContext.bind_propp_schematic_i;
wenzelm@6896
   985
wenzelm@5820
   986
end;
wenzelm@17359
   987
wenzelm@17359
   988
end;