src/Pure/Isar/proof.ML
author wenzelm
Tue Oct 16 13:06:40 2012 +0200 (2012-10-16)
changeset 49859 52da6a736c32
parent 49848 f222a054342e
child 49860 9a0fe50e4534
permissions -rw-r--r--
more informative error messages of initial/terminal proof methods;
more systematic support for sequences with embedded errors;
tuned Seq.maps;
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(*  Title:      Pure/Isar/proof.ML
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    Author:     Markus Wenzel, TU Muenchen
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The Isar/VM proof language interpreter: maintains a structured flow of
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context elements, goals, refinements, and facts.
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*)
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signature PROOF =
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sig
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  type context = Proof.context
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  type method = Method.method
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  type state
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  val init: context -> state
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  val level: state -> int
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  val assert_bottom: bool -> state -> state
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  val context_of: state -> context
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  val theory_of: state -> theory
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  val map_context: (context -> context) -> state -> state
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  val map_context_result : (context -> 'a * context) -> state -> 'a * state
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  val map_contexts: (context -> context) -> state -> state
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  val propagate_ml_env: state -> state
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  val bind_terms: (indexname * term option) list -> state -> state
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  val put_thms: bool -> string * thm list option -> state -> state
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  val the_facts: state -> thm list
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  val the_fact: state -> thm
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  val set_facts: thm list -> state -> state
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  val reset_facts: state -> state
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  val assert_forward: state -> state
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  val assert_chain: state -> state
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  val assert_forward_or_chain: state -> state
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  val assert_backward: state -> state
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  val assert_no_chain: state -> state
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  val enter_forward: state -> state
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  val goal_message: (unit -> Pretty.T) -> state -> state
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  val pretty_state: int -> state -> Pretty.T list
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  val refine: Method.text -> state -> state Seq.seq
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  val refine_end: Method.text -> state -> state Seq.seq
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  val refine_insert: thm list -> state -> state
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  val refine_goals: (context -> thm -> unit) -> context -> thm list -> state -> state Seq.seq
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  val raw_goal: state -> {context: context, facts: thm list, goal: thm}
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  val goal: state -> {context: context, facts: thm list, goal: thm}
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  val simple_goal: state -> {context: context, goal: thm}
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  val status_markup: state -> Markup.T
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  val let_bind: (term list * term) list -> state -> state
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  val let_bind_cmd: (string list * string) list -> state -> state
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  val write: Syntax.mode -> (term * mixfix) list -> state -> state
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  val write_cmd: Syntax.mode -> (string * mixfix) list -> state -> state
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  val fix: (binding * typ option * mixfix) list -> state -> state
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  val fix_cmd: (binding * string option * mixfix) list -> state -> state
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  val assm: Assumption.export ->
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    (Thm.binding * (term * term list) list) list -> state -> state
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  val assm_cmd: Assumption.export ->
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    (Attrib.binding * (string * string list) list) list -> state -> state
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  val assume: (Thm.binding * (term * term list) list) list -> state -> state
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  val assume_cmd: (Attrib.binding * (string * string list) list) list -> state -> state
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  val presume: (Thm.binding * (term * term list) list) list -> state -> state
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  val presume_cmd: (Attrib.binding * (string * string list) list) list -> state -> state
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  val def: (Thm.binding * ((binding * mixfix) * (term * term list))) list -> state -> state
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  val def_cmd: (Attrib.binding * ((binding * mixfix) * (string * string list))) list -> state -> state
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  val chain: state -> state
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  val chain_facts: thm list -> state -> state
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  val note_thmss: (Thm.binding * (thm list * attribute list) list) list -> state -> state
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  val note_thmss_cmd: (Attrib.binding * (Facts.ref * Attrib.src list) list) list -> state -> state
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  val from_thmss: ((thm list * attribute list) list) list -> state -> state
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  val from_thmss_cmd: ((Facts.ref * Attrib.src list) list) list -> state -> state
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  val with_thmss: ((thm list * attribute list) list) list -> state -> state
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  val with_thmss_cmd: ((Facts.ref * Attrib.src list) list) list -> state -> state
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  val using: ((thm list * attribute list) list) list -> state -> state
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  val using_cmd: ((Facts.ref * Attrib.src list) list) list -> state -> state
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  val unfolding: ((thm list * attribute list) list) list -> state -> state
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  val unfolding_cmd: ((Facts.ref * Attrib.src list) list) list -> state -> state
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  val invoke_case: string * binding option list * attribute list -> state -> state
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  val invoke_case_cmd: string * binding option list * Attrib.src list -> state -> state
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  val begin_block: state -> state
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  val next_block: state -> state
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  val end_block: state -> state
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  val begin_notepad: context -> state
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  val end_notepad: state -> context
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  val proof: Method.text option -> state -> state Seq.seq
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  val defer: int option -> state -> state Seq.seq
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  val prefer: int -> state -> state Seq.seq
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  val apply: Method.text -> state -> state Seq.seq
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  val apply_end: Method.text -> state -> state Seq.seq
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  val local_goal: (context -> ((string * string) * (string * thm list) list) -> unit) ->
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    (context -> 'a -> attribute) ->
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    ('b list -> context -> (term list list * (context -> context)) * context) ->
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    string -> Method.text option -> (thm list list -> state -> state) ->
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    ((binding * 'a list) * 'b) list -> state -> state
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  val local_qed: Method.text option * bool -> state -> state
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  val theorem: Method.text option -> (thm list list -> context -> context) ->
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    (term * term list) list list -> context -> state
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  val theorem_cmd: Method.text option -> (thm list list -> context -> context) ->
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    (string * string list) list list -> context -> state
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  val global_qed: Method.text option * bool -> state -> context
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  val local_terminal_proof: Method.text * Method.text option -> state -> state
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  val local_default_proof: state -> state
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  val local_immediate_proof: state -> state
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  val local_skip_proof: bool -> state -> state
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  val local_done_proof: state -> state
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  val global_terminal_proof: Method.text * Method.text option -> state -> context
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  val global_default_proof: state -> context
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  val global_immediate_proof: state -> context
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  val global_skip_proof: bool -> state -> context
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  val global_done_proof: state -> context
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  val have: Method.text option -> (thm list list -> state -> state) ->
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    (Thm.binding * (term * term list) list) list -> bool -> state -> state
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  val have_cmd: Method.text option -> (thm list list -> state -> state) ->
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    (Attrib.binding * (string * string list) list) list -> bool -> state -> state
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  val show: Method.text option -> (thm list list -> state -> state) ->
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    (Thm.binding * (term * term list) list) list -> bool -> state -> state
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  val show_cmd: Method.text option -> (thm list list -> state -> state) ->
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    (Attrib.binding * (string * string list) list) list -> bool -> state -> state
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  val schematic_goal: state -> bool
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  val local_future_proof: (state -> ('a * state) future) -> state -> 'a future * state
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  val global_future_proof: (state -> ('a * context) future) -> state -> 'a future * context
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  val local_future_terminal_proof: Method.text * Method.text option -> bool -> state -> state
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  val global_future_terminal_proof: Method.text * Method.text option -> bool -> state -> context
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end;
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structure Proof: PROOF =
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struct
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type context = Proof.context;
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type method = Method.method;
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(** proof state **)
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(* datatype state *)
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datatype mode = Forward | Chain | Backward;
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datatype state =
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  State of node Stack.T
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and node =
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  Node of
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   {context: context,
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    facts: thm list option,
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    mode: mode,
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    goal: goal option}
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and goal =
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  Goal of
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   {statement: (string * Position.T) * term list list * term,
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      (*goal kind and statement (starting with vars), initial proposition*)
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    messages: (unit -> Pretty.T) list,    (*persistent messages (hints etc.)*)
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    using: thm list,                      (*goal facts*)
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    goal: thm,                            (*subgoals ==> statement*)
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    before_qed: Method.text option,
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    after_qed:
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      (thm list list -> state -> state) *
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      (thm list list -> context -> context)};
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fun make_goal (statement, messages, using, goal, before_qed, after_qed) =
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  Goal {statement = statement, messages = messages, using = using, goal = goal,
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    before_qed = before_qed, after_qed = after_qed};
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fun make_node (context, facts, mode, goal) =
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  Node {context = context, facts = facts, mode = mode, goal = goal};
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fun map_node f (Node {context, facts, mode, goal}) =
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  make_node (f (context, facts, mode, goal));
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val init_context =
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  Proof_Context.set_stmt true #>
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  Proof_Context.map_naming (K Name_Space.local_naming);
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fun init ctxt =
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  State (Stack.init (make_node (init_context ctxt, NONE, Forward, NONE)));
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fun top (State st) = Stack.top st |> (fn Node node => node);
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fun map_top f (State st) = State (Stack.map_top (map_node f) st);
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fun map_all f (State st) = State (Stack.map_all (map_node f) st);
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(** basic proof state operations **)
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(* block structure *)
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fun open_block (State st) = State (Stack.push st);
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fun close_block (State st) = State (Stack.pop st)
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  handle List.Empty => error "Unbalanced block parentheses";
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fun level (State st) = Stack.level st;
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fun assert_bottom b state =
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  let val b' = level state <= 2 in
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    if b andalso not b' then error "Not at bottom of proof"
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    else if not b andalso b' then error "Already at bottom of proof"
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    else state
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  end;
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(* context *)
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val context_of = #context o top;
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val theory_of = Proof_Context.theory_of o context_of;
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fun map_node_context f =
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  map_node (fn (ctxt, facts, mode, goal) => (f ctxt, facts, mode, goal));
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fun map_context f =
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  map_top (fn (ctxt, facts, mode, goal) => (f ctxt, facts, mode, goal));
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fun map_context_result f state =
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  f (context_of state) ||> (fn ctxt => map_context (K ctxt) state);
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fun map_contexts f = map_all (fn (ctxt, facts, mode, goal) => (f ctxt, facts, mode, goal));
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fun propagate_ml_env state = map_contexts
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  (Context.proof_map (ML_Env.inherit (Context.Proof (context_of state)))) state;
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val bind_terms = map_context o Proof_Context.bind_terms;
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val put_thms = map_context oo Proof_Context.put_thms;
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(* facts *)
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val get_facts = #facts o top;
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fun the_facts state =
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  (case get_facts state of SOME facts => facts
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  | NONE => error "No current facts available");
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fun the_fact state =
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  (case the_facts state of [thm] => thm
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  | _ => error "Single theorem expected");
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fun put_facts facts =
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  map_top (fn (ctxt, _, mode, goal) => (ctxt, facts, mode, goal)) #>
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  put_thms true (Auto_Bind.thisN, facts);
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val set_facts = put_facts o SOME;
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val reset_facts = put_facts NONE;
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fun these_factss more_facts (named_factss, state) =
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  (named_factss, state |> set_facts (maps snd named_factss @ more_facts));
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fun export_facts inner outer =
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  (case get_facts inner of
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    NONE => reset_facts outer
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  | SOME thms =>
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      thms
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      |> Proof_Context.export (context_of inner) (context_of outer)
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      |> (fn ths => set_facts ths outer));
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(* mode *)
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val get_mode = #mode o top;
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fun put_mode mode = map_top (fn (ctxt, facts, _, goal) => (ctxt, facts, mode, goal));
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val mode_name = (fn Forward => "state" | Chain => "chain" | Backward => "prove");
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fun assert_mode pred state =
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  let val mode = get_mode state in
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    if pred mode then state
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    else error ("Illegal application of proof command in " ^ quote (mode_name mode) ^ " mode")
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  end;
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val assert_forward = assert_mode (fn mode => mode = Forward);
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val assert_chain = assert_mode (fn mode => mode = Chain);
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val assert_forward_or_chain = assert_mode (fn mode => mode = Forward orelse mode = Chain);
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val assert_backward = assert_mode (fn mode => mode = Backward);
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val assert_no_chain = assert_mode (fn mode => mode <> Chain);
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val enter_forward = put_mode Forward;
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val enter_chain = put_mode Chain;
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val enter_backward = put_mode Backward;
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(* current goal *)
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fun current_goal state =
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  (case top state of
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    {context, goal = SOME (Goal goal), ...} => (context, goal)
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  | _ => error "No current goal");
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fun assert_current_goal g state =
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  let val g' = can current_goal state in
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    if g andalso not g' then error "No goal in this block"
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    else if not g andalso g' then error "Goal present in this block"
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    else state
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  end;
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fun put_goal goal = map_top (fn (ctxt, using, mode, _) => (ctxt, using, mode, goal));
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val set_goal = put_goal o SOME;
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val reset_goal = put_goal NONE;
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val before_qed = #before_qed o #2 o current_goal;
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(* nested goal *)
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fun map_goal f g h (State (Node {context, facts, mode, goal = SOME goal}, node :: nodes)) =
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      let
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        val Goal {statement, messages, using, goal, before_qed, after_qed} = goal;
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        val goal' = make_goal (g (statement, messages, using, goal, before_qed, after_qed));
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        val node' = map_node_context h node;
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      in State (make_node (f context, facts, mode, SOME goal'), node' :: nodes) end
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  | map_goal f g h (State (nd, node :: nodes)) =
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      let
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        val nd' = map_node_context f nd;
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        val State (node', nodes') = map_goal f g h (State (node, nodes));
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      in State (nd', node' :: nodes') end
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  | map_goal _ _ _ state = state;
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fun provide_goal goal = map_goal I (fn (statement, _, using, _, before_qed, after_qed) =>
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  (statement, [], using, goal, before_qed, after_qed)) I;
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fun goal_message msg = map_goal I (fn (statement, messages, using, goal, before_qed, after_qed) =>
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  (statement, msg :: messages, using, goal, before_qed, after_qed)) I;
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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)) I;
wenzelm@17359
   318
wenzelm@17359
   319
local
wenzelm@17359
   320
  fun find i state =
wenzelm@17359
   321
    (case try current_goal state of
wenzelm@17359
   322
      SOME (ctxt, goal) => (ctxt, (i, goal))
wenzelm@18678
   323
    | NONE => find (i + 1) (close_block state handle ERROR _ => error "No goal present"));
wenzelm@17359
   324
in val find_goal = find 0 end;
wenzelm@17359
   325
wenzelm@17359
   326
fun get_goal state =
wenzelm@17359
   327
  let val (ctxt, (_, {using, goal, ...})) = find_goal state
wenzelm@17359
   328
  in (ctxt, (using, goal)) end;
wenzelm@5820
   329
wenzelm@5820
   330
wenzelm@5820
   331
wenzelm@12423
   332
(** pretty_state **)
wenzelm@5820
   333
skalberg@15531
   334
fun pretty_facts _ _ NONE = []
skalberg@15531
   335
  | pretty_facts s ctxt (SOME ths) =
wenzelm@32091
   336
      [Pretty.big_list (s ^ "this:") (map (Display.pretty_thm ctxt) ths), Pretty.str ""];
wenzelm@6756
   337
wenzelm@17359
   338
fun pretty_state nr state =
wenzelm@5820
   339
  let
wenzelm@49011
   340
    val {context = ctxt, facts, mode, goal = _} = top state;
wenzelm@42717
   341
    val verbose = Config.get ctxt Proof_Context.verbose;
wenzelm@5820
   342
wenzelm@5820
   343
    fun levels_up 0 = ""
wenzelm@17359
   344
      | levels_up 1 = "1 level up"
wenzelm@17359
   345
      | levels_up i = string_of_int i ^ " levels up";
wenzelm@5820
   346
wenzelm@11556
   347
    fun subgoals 0 = ""
wenzelm@17359
   348
      | subgoals 1 = "1 subgoal"
wenzelm@17359
   349
      | subgoals n = string_of_int n ^ " subgoals";
wenzelm@17359
   350
wenzelm@17359
   351
    fun description strs =
wenzelm@28375
   352
      (case filter_out (fn s => s = "") strs of [] => ""
wenzelm@17359
   353
      | strs' => enclose " (" ")" (commas strs'));
wenzelm@12146
   354
wenzelm@39051
   355
    fun prt_goal (SOME (_, (i,
wenzelm@29416
   356
      {statement = ((_, pos), _, _), messages, using, goal, before_qed = _, after_qed = _}))) =
wenzelm@17359
   357
          pretty_facts "using " ctxt
wenzelm@17359
   358
            (if mode <> Backward orelse null using then NONE else SOME using) @
wenzelm@21442
   359
          [Pretty.str ("goal" ^
wenzelm@21442
   360
            description [levels_up (i div 2), subgoals (Thm.nprems_of goal)] ^ ":")] @
wenzelm@39125
   361
          Goal_Display.pretty_goals ctxt goal @
wenzelm@25958
   362
          (map (fn msg => Position.setmp_thread_data pos msg ()) (rev messages))
wenzelm@17359
   363
      | prt_goal NONE = [];
wenzelm@6848
   364
wenzelm@17359
   365
    val prt_ctxt =
wenzelm@42717
   366
      if verbose orelse mode = Forward then Proof_Context.pretty_context ctxt
wenzelm@42360
   367
      else if mode = Backward then Proof_Context.pretty_ctxt ctxt
wenzelm@7575
   368
      else [];
wenzelm@17359
   369
  in
wenzelm@17359
   370
    [Pretty.str ("proof (" ^ mode_name mode ^ "): step " ^ string_of_int nr ^
wenzelm@42717
   371
      (if verbose then ", depth " ^ string_of_int (level state div 2 - 1) else "")),
wenzelm@17359
   372
      Pretty.str ""] @
wenzelm@17359
   373
    (if null prt_ctxt then [] else prt_ctxt @ [Pretty.str ""]) @
wenzelm@42717
   374
    (if verbose orelse mode = Forward then
wenzelm@39051
   375
       pretty_facts "" ctxt facts @ prt_goal (try find_goal state)
wenzelm@39051
   376
     else if mode = Chain then pretty_facts "picking " ctxt facts
wenzelm@17359
   377
     else prt_goal (try find_goal state))
wenzelm@17359
   378
  end;
wenzelm@5820
   379
wenzelm@5820
   380
wenzelm@5820
   381
wenzelm@5820
   382
(** proof steps **)
wenzelm@5820
   383
wenzelm@17359
   384
(* refine via method *)
wenzelm@5820
   385
wenzelm@8234
   386
local
wenzelm@8234
   387
wenzelm@16146
   388
fun goalN i = "goal" ^ string_of_int i;
wenzelm@16146
   389
fun goals st = map goalN (1 upto Thm.nprems_of st);
wenzelm@16146
   390
wenzelm@16146
   391
fun no_goal_cases st = map (rpair NONE) (goals st);
wenzelm@16146
   392
wenzelm@16146
   393
fun goal_cases st =
wenzelm@47815
   394
  Rule_Cases.make_common
wenzelm@47815
   395
    (Thm.theory_of_thm st, Thm.prop_of st) (map (rpair [] o rpair []) (goals st));
wenzelm@16146
   396
wenzelm@32193
   397
fun apply_method current_context meth state =
wenzelm@6848
   398
  let
wenzelm@24556
   399
    val (goal_ctxt, (_, {statement, messages = _, using, goal, before_qed, after_qed})) =
wenzelm@24543
   400
      find_goal state;
wenzelm@25958
   401
    val ctxt = if current_context then context_of state else goal_ctxt;
wenzelm@16146
   402
  in
wenzelm@32193
   403
    Method.apply meth ctxt using goal |> Seq.map (fn (meth_cases, goal') =>
wenzelm@6848
   404
      state
wenzelm@16146
   405
      |> map_goal
wenzelm@42360
   406
          (Proof_Context.add_cases false (no_goal_cases goal @ goal_cases goal') #>
wenzelm@42360
   407
           Proof_Context.add_cases true meth_cases)
wenzelm@47431
   408
          (K (statement, [], using, goal', before_qed, after_qed)) I)
wenzelm@16146
   409
  end;
wenzelm@5820
   410
wenzelm@19188
   411
fun select_goals n meth state =
wenzelm@19224
   412
  state
wenzelm@19224
   413
  |> (#2 o #2 o get_goal)
wenzelm@21687
   414
  |> ALLGOALS Goal.conjunction_tac
wenzelm@19224
   415
  |> Seq.maps (fn goal =>
wenzelm@19188
   416
    state
wenzelm@47068
   417
    |> Seq.lift provide_goal (Goal.extract 1 n goal |> Seq.maps (Goal.conjunction_tac 1))
wenzelm@19188
   418
    |> Seq.maps meth
wenzelm@19188
   419
    |> Seq.maps (fn state' => state'
wenzelm@47068
   420
      |> Seq.lift provide_goal (Goal.retrofit 1 n (#2 (#2 (get_goal state'))) goal))
wenzelm@32193
   421
    |> Seq.maps (apply_method true (K Method.succeed)));
wenzelm@19188
   422
wenzelm@17112
   423
fun apply_text cc text state =
wenzelm@17112
   424
  let
wenzelm@17112
   425
    val thy = theory_of state;
wenzelm@17112
   426
wenzelm@32193
   427
    fun eval (Method.Basic m) = apply_method cc m
wenzelm@32193
   428
      | eval (Method.Source src) = apply_method cc (Method.method thy src)
wenzelm@32193
   429
      | eval (Method.Source_i src) = apply_method cc (Method.method_i thy src)
wenzelm@17112
   430
      | eval (Method.Then txts) = Seq.EVERY (map eval txts)
wenzelm@17112
   431
      | eval (Method.Orelse txts) = Seq.FIRST (map eval txts)
wenzelm@17112
   432
      | eval (Method.Try txt) = Seq.TRY (eval txt)
wenzelm@19188
   433
      | eval (Method.Repeat1 txt) = Seq.REPEAT1 (eval txt)
wenzelm@19188
   434
      | eval (Method.SelectGoals (n, txt)) = select_goals n (eval txt);
wenzelm@17112
   435
  in eval text state end;
wenzelm@17112
   436
wenzelm@8234
   437
in
wenzelm@8234
   438
wenzelm@17112
   439
val refine = apply_text true;
wenzelm@17112
   440
val refine_end = apply_text false;
wenzelm@32856
   441
fun refine_insert ths = Seq.hd o refine (Method.Basic (K (Method.insert ths)));
wenzelm@18908
   442
wenzelm@8234
   443
end;
wenzelm@8234
   444
wenzelm@5820
   445
wenzelm@17359
   446
(* refine via sub-proof *)
wenzelm@17359
   447
wenzelm@46466
   448
local
wenzelm@46466
   449
wenzelm@30557
   450
fun finish_tac 0 = K all_tac
wenzelm@30557
   451
  | finish_tac n =
wenzelm@30557
   452
      Goal.norm_hhf_tac THEN'
wenzelm@30557
   453
      SUBGOAL (fn (goal, i) =>
wenzelm@30557
   454
        if can Logic.unprotect (Logic.strip_assums_concl goal) then
wenzelm@30557
   455
          Tactic.etac Drule.protectI i THEN finish_tac (n - 1) i
wenzelm@30557
   456
        else finish_tac (n - 1) (i + 1));
wenzelm@30557
   457
wenzelm@20208
   458
fun goal_tac rule =
wenzelm@30557
   459
  Goal.norm_hhf_tac THEN'
wenzelm@30557
   460
  Tactic.rtac rule THEN'
wenzelm@30557
   461
  finish_tac (Thm.nprems_of rule);
wenzelm@11816
   462
wenzelm@46466
   463
fun FINDGOAL tac st =
wenzelm@46466
   464
  let fun find i n = if i > n then Seq.fail else Seq.APPEND (tac i, find (i + 1) n)
wenzelm@46466
   465
  in find 1 (Thm.nprems_of st) st end;
wenzelm@46466
   466
wenzelm@46466
   467
in
wenzelm@46466
   468
wenzelm@19915
   469
fun refine_goals print_rule inner raw_rules state =
wenzelm@19915
   470
  let
wenzelm@19915
   471
    val (outer, (_, goal)) = get_goal state;
wenzelm@20208
   472
    fun refine rule st = (print_rule outer rule; FINDGOAL (goal_tac rule) st);
wenzelm@19915
   473
  in
wenzelm@19915
   474
    raw_rules
wenzelm@42360
   475
    |> Proof_Context.goal_export inner outer
wenzelm@47068
   476
    |> (fn rules => Seq.lift provide_goal (EVERY (map refine rules) goal) state)
wenzelm@19915
   477
  end;
wenzelm@17359
   478
wenzelm@46466
   479
end;
wenzelm@46466
   480
wenzelm@6932
   481
wenzelm@49846
   482
(* conclude goal *)
wenzelm@49846
   483
wenzelm@28627
   484
fun conclude_goal ctxt goal propss =
wenzelm@5820
   485
  let
wenzelm@42360
   486
    val thy = Proof_Context.theory_of ctxt;
wenzelm@24920
   487
    val string_of_term = Syntax.string_of_term ctxt;
wenzelm@32091
   488
    val string_of_thm = Display.string_of_thm ctxt;
wenzelm@5820
   489
wenzelm@49847
   490
    val _ = Thm.no_prems goal orelse
wenzelm@49847
   491
      error (Pretty.string_of (Goal_Display.pretty_goal {main = true, limit = false} ctxt goal));
wenzelm@20224
   492
wenzelm@20224
   493
    val extra_hyps = Assumption.extra_hyps ctxt goal;
wenzelm@20224
   494
    val _ = null extra_hyps orelse
wenzelm@20224
   495
      error ("Additional hypotheses:\n" ^ cat_lines (map string_of_term extra_hyps));
wenzelm@5820
   496
wenzelm@23418
   497
    fun lost_structure () = error ("Lost goal structure:\n" ^ string_of_thm goal);
wenzelm@23418
   498
berghofe@23782
   499
    val th = Goal.conclude
wenzelm@23806
   500
      (if length (flat propss) > 1 then Thm.norm_proof goal else goal)
berghofe@23782
   501
      handle THM _ => lost_structure ();
wenzelm@23418
   502
    val goal_propss = filter_out null propss;
wenzelm@23418
   503
    val results =
wenzelm@23418
   504
      Conjunction.elim_balanced (length goal_propss) th
wenzelm@23418
   505
      |> map2 Conjunction.elim_balanced (map length goal_propss)
wenzelm@23418
   506
      handle THM _ => lost_structure ();
wenzelm@23418
   507
    val _ = Unify.matches_list thy (flat goal_propss) (map Thm.prop_of (flat results)) orelse
wenzelm@19774
   508
      error ("Proved a different theorem:\n" ^ string_of_thm th);
wenzelm@28627
   509
    val _ = Thm.check_shyps (Variable.sorts_of ctxt) th;
wenzelm@23418
   510
wenzelm@23418
   511
    fun recover_result ([] :: pss) thss = [] :: recover_result pss thss
wenzelm@23418
   512
      | recover_result (_ :: pss) (ths :: thss) = ths :: recover_result pss thss
wenzelm@23418
   513
      | recover_result [] [] = []
wenzelm@23418
   514
      | recover_result _ _ = lost_structure ();
wenzelm@23418
   515
  in recover_result propss results end;
wenzelm@5820
   516
wenzelm@49859
   517
val finished_goal_error = "Failed to finish proof";
wenzelm@49859
   518
wenzelm@49859
   519
fun finished_goal state =
wenzelm@49859
   520
  let val (ctxt, (_, goal)) = get_goal state in
wenzelm@49859
   521
    if Thm.no_prems goal then Seq.Result state
wenzelm@49859
   522
    else
wenzelm@49859
   523
      Seq.Error (fn () =>
wenzelm@49859
   524
        finished_goal_error ^ ":\n" ^
wenzelm@49859
   525
          Pretty.string_of (Goal_Display.pretty_goal {main = true, limit = false} ctxt goal))
wenzelm@49859
   526
  end;
wenzelm@49846
   527
wenzelm@5820
   528
wenzelm@33288
   529
(* goal views -- corresponding to methods *)
wenzelm@33288
   530
wenzelm@33288
   531
fun raw_goal state =
wenzelm@33288
   532
  let val (ctxt, (facts, goal)) = get_goal state
wenzelm@33288
   533
  in {context = ctxt, facts = facts, goal = goal} end;
wenzelm@33288
   534
wenzelm@33288
   535
val goal = raw_goal o refine_insert [];
wenzelm@33288
   536
wenzelm@33288
   537
fun simple_goal state =
wenzelm@33288
   538
  let
wenzelm@33288
   539
    val (_, (facts, _)) = get_goal state;
wenzelm@33288
   540
    val (ctxt, (_, goal)) = get_goal (refine_insert facts state);
wenzelm@33288
   541
  in {context = ctxt, goal = goal} end;
wenzelm@33288
   542
wenzelm@38721
   543
fun status_markup state =
wenzelm@38721
   544
  (case try goal state of
wenzelm@45666
   545
    SOME {goal, ...} => Isabelle_Markup.proof_state (Thm.nprems_of goal)
wenzelm@38721
   546
  | NONE => Markup.empty);
wenzelm@38721
   547
wenzelm@33288
   548
wenzelm@5820
   549
wenzelm@5820
   550
(*** structured proof commands ***)
wenzelm@5820
   551
wenzelm@17112
   552
(** context elements **)
wenzelm@5820
   553
wenzelm@36324
   554
(* let bindings *)
wenzelm@5820
   555
wenzelm@16813
   556
local
wenzelm@16813
   557
wenzelm@17359
   558
fun gen_bind bind args state =
wenzelm@5820
   559
  state
wenzelm@5820
   560
  |> assert_forward
wenzelm@36324
   561
  |> map_context (bind true args #> snd)
wenzelm@47068
   562
  |> reset_facts;
wenzelm@5820
   563
wenzelm@16813
   564
in
wenzelm@16813
   565
wenzelm@42360
   566
val let_bind = gen_bind Proof_Context.match_bind_i;
wenzelm@42360
   567
val let_bind_cmd = gen_bind Proof_Context.match_bind;
wenzelm@5820
   568
wenzelm@16813
   569
end;
wenzelm@16813
   570
wenzelm@5820
   571
wenzelm@36505
   572
(* concrete syntax *)
wenzelm@36505
   573
wenzelm@36505
   574
local
wenzelm@36505
   575
wenzelm@36507
   576
fun gen_write prep_arg mode args =
wenzelm@36507
   577
  assert_forward
wenzelm@42360
   578
  #> map_context (fn ctxt => ctxt |> Proof_Context.notation true mode (map (prep_arg ctxt) args))
wenzelm@47068
   579
  #> reset_facts;
wenzelm@36505
   580
wenzelm@36505
   581
in
wenzelm@36505
   582
wenzelm@36505
   583
val write = gen_write (K I);
wenzelm@36505
   584
wenzelm@36505
   585
val write_cmd =
wenzelm@36505
   586
  gen_write (fn ctxt => fn (c, mx) =>
wenzelm@42360
   587
    (Proof_Context.read_const ctxt false (Mixfix.mixfixT mx) c, mx));
wenzelm@36505
   588
wenzelm@36505
   589
end;
wenzelm@36505
   590
wenzelm@36505
   591
wenzelm@17359
   592
(* fix *)
wenzelm@9196
   593
wenzelm@12714
   594
local
wenzelm@12714
   595
wenzelm@30763
   596
fun gen_fix prep_vars args =
wenzelm@17359
   597
  assert_forward
wenzelm@45597
   598
  #> map_context (fn ctxt => snd (Proof_Context.add_fixes (fst (prep_vars args ctxt)) ctxt))
wenzelm@47068
   599
  #> reset_facts;
wenzelm@5820
   600
wenzelm@16813
   601
in
wenzelm@16813
   602
wenzelm@45597
   603
val fix = gen_fix Proof_Context.cert_vars;
wenzelm@45597
   604
val fix_cmd = gen_fix Proof_Context.read_vars;
wenzelm@5820
   605
wenzelm@16813
   606
end;
wenzelm@16813
   607
wenzelm@5820
   608
wenzelm@17359
   609
(* assume etc. *)
wenzelm@5820
   610
wenzelm@16813
   611
local
wenzelm@16813
   612
wenzelm@17112
   613
fun gen_assume asm prep_att exp args state =
wenzelm@5820
   614
  state
wenzelm@5820
   615
  |> assert_forward
wenzelm@47815
   616
  |> map_context_result (asm exp (Attrib.map_specs (map (prep_att (context_of state))) args))
wenzelm@17359
   617
  |> these_factss [] |> #2;
wenzelm@6932
   618
wenzelm@16813
   619
in
wenzelm@16813
   620
wenzelm@42360
   621
val assm = gen_assume Proof_Context.add_assms_i (K I);
wenzelm@47815
   622
val assm_cmd = gen_assume Proof_Context.add_assms Attrib.attribute_cmd;
wenzelm@36323
   623
val assume = assm Assumption.assume_export;
wenzelm@36323
   624
val assume_cmd = assm_cmd Assumption.assume_export;
wenzelm@36323
   625
val presume = assm Assumption.presume_export;
wenzelm@36323
   626
val presume_cmd = assm_cmd Assumption.presume_export;
wenzelm@5820
   627
wenzelm@16813
   628
end;
wenzelm@16813
   629
wenzelm@7271
   630
wenzelm@17359
   631
(* def *)
wenzelm@11891
   632
wenzelm@16813
   633
local
wenzelm@16813
   634
wenzelm@20913
   635
fun gen_def prep_att prep_vars prep_binds args state =
wenzelm@11891
   636
  let
wenzelm@11891
   637
    val _ = assert_forward state;
wenzelm@20913
   638
    val (raw_name_atts, (raw_vars, raw_rhss)) = args |> split_list ||> split_list;
wenzelm@47815
   639
    val name_atts = map (apsnd (map (prep_att (context_of state)))) raw_name_atts;
wenzelm@11891
   640
  in
wenzelm@20913
   641
    state
wenzelm@20913
   642
    |> map_context_result (prep_vars (map (fn (x, mx) => (x, NONE, mx)) raw_vars))
wenzelm@20913
   643
    |>> map (fn (x, _, mx) => (x, mx))
wenzelm@20913
   644
    |-> (fn vars =>
wenzelm@20913
   645
      map_context_result (prep_binds false (map swap raw_rhss))
wenzelm@49748
   646
      #-> (fn rhss =>
wenzelm@49748
   647
        let
wenzelm@49748
   648
          val defs = (vars ~~ (name_atts ~~ rhss)) |> map (fn ((x, mx), ((a, atts), rhs)) =>
wenzelm@49748
   649
            ((x, mx), ((Thm.def_binding_optional x a, atts), rhs)));
wenzelm@49748
   650
        in map_context_result (Local_Defs.add_defs defs) end))
wenzelm@47068
   651
    |-> (set_facts o map (#2 o #2))
wenzelm@11891
   652
  end;
wenzelm@11891
   653
wenzelm@16813
   654
in
wenzelm@16813
   655
wenzelm@42360
   656
val def = gen_def (K I) Proof_Context.cert_vars Proof_Context.match_bind_i;
wenzelm@47815
   657
val def_cmd = gen_def Attrib.attribute_cmd Proof_Context.read_vars Proof_Context.match_bind;
wenzelm@11891
   658
wenzelm@16813
   659
end;
wenzelm@16813
   660
wenzelm@11891
   661
wenzelm@8374
   662
wenzelm@17112
   663
(** facts **)
wenzelm@5820
   664
wenzelm@17359
   665
(* chain *)
wenzelm@5820
   666
wenzelm@24011
   667
fun clean_facts ctxt =
wenzelm@47068
   668
  set_facts (filter_out Thm.is_dummy (the_facts ctxt)) ctxt;
wenzelm@24011
   669
wenzelm@17359
   670
val chain =
wenzelm@17359
   671
  assert_forward
wenzelm@24011
   672
  #> clean_facts
wenzelm@17359
   673
  #> enter_chain;
wenzelm@5820
   674
wenzelm@17359
   675
fun chain_facts facts =
wenzelm@47068
   676
  set_facts facts
wenzelm@17359
   677
  #> chain;
wenzelm@5820
   678
wenzelm@5820
   679
wenzelm@17359
   680
(* note etc. *)
wenzelm@17112
   681
haftmann@28965
   682
fun no_binding args = map (pair (Binding.empty, [])) args;
wenzelm@17112
   683
wenzelm@17112
   684
local
wenzelm@17112
   685
wenzelm@30760
   686
fun gen_thmss more_facts opt_chain opt_result prep_atts prep_fact args state =
wenzelm@17112
   687
  state
wenzelm@17112
   688
  |> assert_forward
wenzelm@47815
   689
  |> map_context_result (fn ctxt => ctxt |> Proof_Context.note_thmss ""
wenzelm@47815
   690
    (Attrib.map_facts_refs (map (prep_atts ctxt)) (prep_fact ctxt) args))
wenzelm@17112
   691
  |> these_factss (more_facts state)
wenzelm@17359
   692
  ||> opt_chain
wenzelm@17359
   693
  |> opt_result;
wenzelm@17112
   694
wenzelm@17112
   695
in
wenzelm@17112
   696
wenzelm@36323
   697
val note_thmss = gen_thmss (K []) I #2 (K I) (K I);
wenzelm@47815
   698
val note_thmss_cmd = gen_thmss (K []) I #2 Attrib.attribute_cmd Proof_Context.get_fact;
wenzelm@17112
   699
wenzelm@36323
   700
val from_thmss = gen_thmss (K []) chain #2 (K I) (K I) o no_binding;
wenzelm@47815
   701
val from_thmss_cmd =
wenzelm@47815
   702
  gen_thmss (K []) chain #2 Attrib.attribute_cmd Proof_Context.get_fact o no_binding;
wenzelm@17359
   703
wenzelm@36323
   704
val with_thmss = gen_thmss the_facts chain #2 (K I) (K I) o no_binding;
wenzelm@47815
   705
val with_thmss_cmd =
wenzelm@47815
   706
  gen_thmss the_facts chain #2 Attrib.attribute_cmd Proof_Context.get_fact o no_binding;
wenzelm@30760
   707
wenzelm@30760
   708
val local_results = gen_thmss (K []) I I (K I) (K I) o map (apsnd Thm.simple_fact);
wenzelm@17359
   709
wenzelm@17112
   710
end;
wenzelm@17112
   711
wenzelm@17112
   712
wenzelm@18548
   713
(* using/unfolding *)
wenzelm@17112
   714
wenzelm@17112
   715
local
wenzelm@17112
   716
wenzelm@45390
   717
fun gen_using f g prep_att prep_fact args state =
wenzelm@17112
   718
  state
wenzelm@17112
   719
  |> assert_backward
wenzelm@21442
   720
  |> map_context_result
wenzelm@47815
   721
    (fn ctxt => ctxt |> Proof_Context.note_thmss ""
wenzelm@47815
   722
      (Attrib.map_facts_refs (map (prep_att ctxt)) (prep_fact ctxt) (no_binding args)))
wenzelm@18843
   723
  |> (fn (named_facts, state') =>
wenzelm@24556
   724
    state' |> map_goal I (fn (statement, _, using, goal, before_qed, after_qed) =>
wenzelm@18843
   725
      let
wenzelm@18843
   726
        val ctxt = context_of state';
wenzelm@19482
   727
        val ths = maps snd named_facts;
wenzelm@47431
   728
      in (statement, [], f ctxt ths using, g ctxt ths goal, before_qed, after_qed) end) I);
wenzelm@18548
   729
wenzelm@24050
   730
fun append_using _ ths using = using @ filter_out Thm.is_dummy ths;
wenzelm@35624
   731
fun unfold_using ctxt ths = map (Local_Defs.unfold ctxt ths);
wenzelm@35624
   732
val unfold_goals = Local_Defs.unfold_goals;
wenzelm@17112
   733
wenzelm@17112
   734
in
wenzelm@17112
   735
wenzelm@36323
   736
val using = gen_using append_using (K (K I)) (K I) (K I);
wenzelm@47815
   737
val using_cmd = gen_using append_using (K (K I)) Attrib.attribute_cmd Proof_Context.get_fact;
wenzelm@36323
   738
val unfolding = gen_using unfold_using unfold_goals (K I) (K I);
wenzelm@47815
   739
val unfolding_cmd = gen_using unfold_using unfold_goals Attrib.attribute_cmd Proof_Context.get_fact;
wenzelm@17112
   740
wenzelm@17112
   741
end;
wenzelm@17112
   742
wenzelm@17112
   743
wenzelm@17112
   744
(* case *)
wenzelm@17112
   745
wenzelm@17112
   746
local
wenzelm@17112
   747
wenzelm@30419
   748
fun qualified_binding a =
wenzelm@30419
   749
  Binding.qualify true (Long_Name.qualifier a) (Binding.name (Long_Name.base_name a));
wenzelm@30419
   750
wenzelm@17112
   751
fun gen_invoke_case prep_att (name, 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@42360
   755
      ctxt |> Proof_Context.apply_case (Proof_Context.get_case ctxt name xs));
wenzelm@30419
   756
    val assumptions = asms |> map (fn (a, ts) => ((qualified_binding a, atts), map (rpair []) ts));
wenzelm@17112
   757
  in
wenzelm@17112
   758
    state'
wenzelm@36323
   759
    |> assume assumptions
wenzelm@33386
   760
    |> bind_terms Auto_Bind.no_facts
wenzelm@36323
   761
    |> `the_facts |-> (fn thms => note_thmss [((Binding.name name, []), [(thms, [])])])
wenzelm@17112
   762
  end;
wenzelm@17112
   763
wenzelm@17112
   764
in
wenzelm@17112
   765
wenzelm@36323
   766
val invoke_case = gen_invoke_case (K I);
wenzelm@47815
   767
val invoke_case_cmd = gen_invoke_case Attrib.attribute_cmd;
wenzelm@17112
   768
wenzelm@17112
   769
end;
wenzelm@17112
   770
wenzelm@17112
   771
wenzelm@17112
   772
wenzelm@17359
   773
(** proof structure **)
wenzelm@17359
   774
wenzelm@17359
   775
(* blocks *)
wenzelm@17359
   776
wenzelm@17359
   777
val begin_block =
wenzelm@17359
   778
  assert_forward
wenzelm@17359
   779
  #> open_block
wenzelm@47068
   780
  #> reset_goal
wenzelm@17359
   781
  #> open_block;
wenzelm@17359
   782
wenzelm@17359
   783
val next_block =
wenzelm@17359
   784
  assert_forward
wenzelm@17359
   785
  #> close_block
wenzelm@17359
   786
  #> open_block
wenzelm@47068
   787
  #> reset_goal
wenzelm@47068
   788
  #> reset_facts;
wenzelm@17359
   789
wenzelm@17359
   790
fun end_block state =
wenzelm@17359
   791
  state
wenzelm@17359
   792
  |> assert_forward
wenzelm@40960
   793
  |> assert_bottom false
wenzelm@17359
   794
  |> close_block
wenzelm@17359
   795
  |> assert_current_goal false
wenzelm@17359
   796
  |> close_block
wenzelm@17359
   797
  |> export_facts state;
wenzelm@17359
   798
wenzelm@17359
   799
wenzelm@40960
   800
(* global notepad *)
wenzelm@40960
   801
wenzelm@40960
   802
val begin_notepad =
wenzelm@40960
   803
  init
wenzelm@40960
   804
  #> open_block
wenzelm@40960
   805
  #> map_context (Variable.set_body true)
wenzelm@40960
   806
  #> open_block;
wenzelm@40960
   807
wenzelm@40960
   808
val end_notepad =
wenzelm@40960
   809
  assert_forward
wenzelm@40960
   810
  #> assert_bottom true
wenzelm@40960
   811
  #> close_block
wenzelm@40960
   812
  #> assert_current_goal false
wenzelm@40960
   813
  #> close_block
wenzelm@40960
   814
  #> context_of;
wenzelm@40960
   815
wenzelm@40960
   816
wenzelm@17359
   817
(* sub-proofs *)
wenzelm@17359
   818
wenzelm@17359
   819
fun proof opt_text =
wenzelm@17359
   820
  assert_backward
wenzelm@17859
   821
  #> refine (the_default Method.default_text opt_text)
wenzelm@17359
   822
  #> Seq.map (using_facts [] #> enter_forward);
wenzelm@17359
   823
wenzelm@23360
   824
fun end_proof bot txt state =
wenzelm@23360
   825
  state
wenzelm@23360
   826
  |> assert_forward
wenzelm@23360
   827
  |> assert_bottom bot
wenzelm@23360
   828
  |> close_block
wenzelm@23360
   829
  |> assert_current_goal true
wenzelm@23360
   830
  |> using_facts []
wenzelm@23360
   831
  |> `before_qed |-> (refine o the_default Method.succeed_text)
wenzelm@49859
   832
  |> Seq.maps (refine (Method.finish_text txt))
wenzelm@49859
   833
  |> Seq.map finished_goal;
wenzelm@17359
   834
wenzelm@29383
   835
fun check_result msg sq =
wenzelm@29383
   836
  (case Seq.pull sq of
wenzelm@29383
   837
    NONE => error msg
wenzelm@29383
   838
  | SOME (s, _) => s);
wenzelm@29383
   839
wenzelm@17359
   840
wenzelm@17359
   841
(* unstructured refinement *)
wenzelm@17359
   842
wenzelm@32193
   843
fun defer i = assert_no_chain #> refine (Method.Basic (K (Method.defer i)));
wenzelm@32193
   844
fun prefer i = assert_no_chain #> refine (Method.Basic (K (Method.prefer i)));
wenzelm@17359
   845
wenzelm@17359
   846
fun apply text = assert_backward #> refine text #> Seq.map (using_facts []);
wenzelm@17359
   847
fun apply_end text = assert_forward #> refine_end text;
wenzelm@17359
   848
wenzelm@17359
   849
wenzelm@17359
   850
wenzelm@17112
   851
(** goals **)
wenzelm@17112
   852
wenzelm@17359
   853
(* generic goals *)
wenzelm@17359
   854
wenzelm@19774
   855
local
wenzelm@19774
   856
wenzelm@36322
   857
val is_var =
wenzelm@36322
   858
  can (dest_TVar o Logic.dest_type o Logic.dest_term) orf
wenzelm@36322
   859
  can (dest_Var o Logic.dest_term);
wenzelm@36322
   860
wenzelm@36322
   861
fun implicit_vars props =
wenzelm@19846
   862
  let
wenzelm@36354
   863
    val (var_props, _) = take_prefix is_var props;
wenzelm@36322
   864
    val explicit_vars = fold Term.add_vars var_props [];
wenzelm@36322
   865
    val vars = filter_out (member (op =) explicit_vars) (fold Term.add_vars props []);
wenzelm@36322
   866
  in map (Logic.mk_term o Var) vars end;
wenzelm@19774
   867
wenzelm@19774
   868
fun refine_terms n =
wenzelm@30510
   869
  refine (Method.Basic (K (RAW_METHOD
wenzelm@19774
   870
    (K (HEADGOAL (PRECISE_CONJUNCTS n
wenzelm@32193
   871
      (HEADGOAL (CONJUNCTS (ALLGOALS (rtac Drule.termI))))))))))
wenzelm@19774
   872
  #> Seq.hd;
wenzelm@19774
   873
wenzelm@19774
   874
in
wenzelm@17359
   875
wenzelm@17859
   876
fun generic_goal prepp kind before_qed after_qed raw_propp state =
wenzelm@5820
   877
  let
wenzelm@17359
   878
    val thy = theory_of state;
wenzelm@23418
   879
    val cert = Thm.cterm_of thy;
wenzelm@17359
   880
    val chaining = can assert_chain state;
wenzelm@25958
   881
    val pos = Position.thread_data ();
wenzelm@17359
   882
wenzelm@17359
   883
    val ((propss, after_ctxt), goal_state) =
wenzelm@5936
   884
      state
wenzelm@5936
   885
      |> assert_forward_or_chain
wenzelm@5936
   886
      |> enter_forward
wenzelm@17359
   887
      |> open_block
wenzelm@45327
   888
      |> map_context_result (prepp raw_propp);
wenzelm@19482
   889
    val props = flat propss;
wenzelm@15703
   890
wenzelm@36322
   891
    val vars = implicit_vars props;
wenzelm@36322
   892
    val propss' = vars :: propss;
wenzelm@23418
   893
    val goal_propss = filter_out null propss';
wenzelm@29346
   894
    val goal =
wenzelm@29346
   895
      cert (Logic.mk_conjunction_balanced (map Logic.mk_conjunction_balanced goal_propss))
wenzelm@28627
   896
      |> Thm.weaken_sorts (Variable.sorts_of (context_of goal_state));
wenzelm@29346
   897
    val statement = ((kind, pos), propss', Thm.term_of goal);
wenzelm@18124
   898
    val after_qed' = after_qed |>> (fn after_local =>
wenzelm@18124
   899
      fn results => map_context after_ctxt #> after_local results);
wenzelm@5820
   900
  in
wenzelm@17359
   901
    goal_state
wenzelm@21727
   902
    |> map_context (init_context #> Variable.set_body true)
wenzelm@47068
   903
    |> set_goal (make_goal (statement, [], [], Goal.init goal, before_qed, after_qed'))
wenzelm@42360
   904
    |> map_context (Proof_Context.auto_bind_goal props)
wenzelm@21565
   905
    |> chaining ? (`the_facts #-> using_facts)
wenzelm@47068
   906
    |> reset_facts
wenzelm@17359
   907
    |> open_block
wenzelm@47068
   908
    |> reset_goal
wenzelm@5820
   909
    |> enter_backward
wenzelm@23418
   910
    |> not (null vars) ? refine_terms (length goal_propss)
wenzelm@32193
   911
    |> null props ? (refine (Method.Basic Method.assumption) #> Seq.hd)
wenzelm@5820
   912
  end;
wenzelm@5820
   913
wenzelm@29090
   914
fun generic_qed after_ctxt state =
wenzelm@12503
   915
  let
wenzelm@36354
   916
    val (goal_ctxt, {statement = (_, stmt, _), goal, after_qed, ...}) = current_goal state;
wenzelm@8617
   917
    val outer_state = state |> close_block;
wenzelm@8617
   918
    val outer_ctxt = context_of outer_state;
wenzelm@8617
   919
wenzelm@18503
   920
    val props =
wenzelm@19774
   921
      flat (tl stmt)
wenzelm@19915
   922
      |> Variable.exportT_terms goal_ctxt outer_ctxt;
wenzelm@17359
   923
    val results =
wenzelm@28627
   924
      tl (conclude_goal goal_ctxt goal stmt)
wenzelm@42360
   925
      |> burrow (Proof_Context.export goal_ctxt outer_ctxt);
wenzelm@17359
   926
  in
wenzelm@17359
   927
    outer_state
wenzelm@29090
   928
    |> map_context (after_ctxt props)
wenzelm@34239
   929
    |> pair (after_qed, results)
wenzelm@17359
   930
  end;
wenzelm@17359
   931
wenzelm@19774
   932
end;
wenzelm@19774
   933
wenzelm@9469
   934
wenzelm@17359
   935
(* local goals *)
wenzelm@17359
   936
wenzelm@17859
   937
fun local_goal print_results prep_att prepp kind before_qed after_qed stmt state =
wenzelm@17359
   938
  let
wenzelm@21362
   939
    val ((names, attss), propp) =
wenzelm@47815
   940
      Attrib.map_specs (map (prep_att (context_of state))) stmt |> split_list |>> split_list;
wenzelm@17359
   941
wenzelm@18124
   942
    fun after_qed' results =
wenzelm@18808
   943
      local_results ((names ~~ attss) ~~ results)
wenzelm@17359
   944
      #-> (fn res => tap (fn st => print_results (context_of st) ((kind, ""), res) : unit))
wenzelm@18124
   945
      #> after_qed results;
wenzelm@5820
   946
  in
wenzelm@17359
   947
    state
wenzelm@21362
   948
    |> generic_goal prepp kind before_qed (after_qed', K I) propp
wenzelm@19900
   949
    |> tap (Variable.warn_extra_tfrees (context_of state) o context_of)
wenzelm@5820
   950
  end;
wenzelm@5820
   951
wenzelm@29383
   952
fun local_qeds txt =
wenzelm@29383
   953
  end_proof false txt
wenzelm@49859
   954
  #> Seq.map_result (generic_qed Proof_Context.auto_bind_facts #->
wenzelm@49859
   955
    (fn ((after_qed, _), results) => after_qed results));
wenzelm@5820
   956
wenzelm@49859
   957
fun local_qed txt = local_qeds txt #> Seq.the_result finished_goal_error;
wenzelm@29383
   958
wenzelm@5820
   959
wenzelm@17359
   960
(* global goals *)
wenzelm@17359
   961
wenzelm@45327
   962
fun prepp_auto_fixes prepp args =
wenzelm@45327
   963
  prepp args #>
wenzelm@45327
   964
  (fn ((propss, a), ctxt) => ((propss, a), (fold o fold) Variable.auto_fixes propss ctxt));
wenzelm@45327
   965
wenzelm@45327
   966
fun global_goal prepp before_qed after_qed propp =
wenzelm@45327
   967
  init #>
wenzelm@45327
   968
  generic_goal (prepp_auto_fixes prepp) "" before_qed (K I, after_qed) propp;
wenzelm@17359
   969
wenzelm@42360
   970
val theorem = global_goal Proof_Context.bind_propp_schematic_i;
wenzelm@42360
   971
val theorem_cmd = global_goal Proof_Context.bind_propp_schematic;
wenzelm@12065
   972
wenzelm@17359
   973
fun global_qeds txt =
wenzelm@17359
   974
  end_proof true txt
wenzelm@49859
   975
  #> Seq.map_result (generic_qed (K I) #> (fn (((_, after_qed), results), state) =>
wenzelm@49859
   976
    after_qed results (context_of state)));
wenzelm@17112
   977
wenzelm@49859
   978
fun global_qed txt = global_qeds txt #> Seq.the_result finished_goal_error;
wenzelm@12959
   979
wenzelm@5820
   980
wenzelm@17359
   981
(* concluding steps *)
wenzelm@17112
   982
wenzelm@49859
   983
fun method_error name state = Seq.Error (fn () =>
wenzelm@49848
   984
  let
wenzelm@49848
   985
    val (ctxt, (facts, goal)) = get_goal state;
wenzelm@49859
   986
    val pr_header =
wenzelm@49859
   987
      "Failure of " ^ (if name = "" then "" else name ^ " ") ^ "proof method on goal state:\n";
wenzelm@49848
   988
    val pr_facts =
wenzelm@49848
   989
      if null facts then ""
wenzelm@49848
   990
      else Pretty.string_of (Pretty.big_list "facts:" (map (Display.pretty_thm ctxt) facts)) ^ "\n";
wenzelm@49848
   991
    val pr_goal =
wenzelm@49848
   992
      "goal:\n" ^ Pretty.string_of (Goal_Display.pretty_goal {main = false, limit = false} ctxt goal);
wenzelm@49859
   993
  in pr_header ^ pr_facts ^ pr_goal end);
wenzelm@49848
   994
wenzelm@49859
   995
local
wenzelm@49848
   996
wenzelm@49859
   997
val op APPEND = Seq.APPEND;
wenzelm@49848
   998
wenzelm@49846
   999
fun terminal_proof qeds initial terminal =
wenzelm@49859
  1000
  ((proof (SOME initial) #> Seq.map Seq.Result) APPEND (Seq.single o method_error "initial"))
wenzelm@49859
  1001
  #> Seq.maps_results (qeds terminal APPEND (Seq.single o method_error "terminal"))
wenzelm@49859
  1002
  #> Seq.the_result "";
wenzelm@49848
  1003
wenzelm@49848
  1004
in
wenzelm@17112
  1005
wenzelm@29383
  1006
fun local_terminal_proof (text, opt_text) = terminal_proof local_qeds text (opt_text, true);
wenzelm@17112
  1007
val local_default_proof = local_terminal_proof (Method.default_text, NONE);
wenzelm@17112
  1008
val local_immediate_proof = local_terminal_proof (Method.this_text, NONE);
wenzelm@17359
  1009
fun local_skip_proof int = local_terminal_proof (Method.sorry_text int, NONE);
wenzelm@29383
  1010
val local_done_proof = terminal_proof local_qeds Method.done_text (NONE, false);
wenzelm@17112
  1011
wenzelm@29383
  1012
fun global_terminal_proof (text, opt_text) = terminal_proof global_qeds text (opt_text, true);
wenzelm@17112
  1013
val global_default_proof = global_terminal_proof (Method.default_text, NONE);
wenzelm@17112
  1014
val global_immediate_proof = global_terminal_proof (Method.this_text, NONE);
wenzelm@17359
  1015
fun global_skip_proof int = global_terminal_proof (Method.sorry_text int, NONE);
wenzelm@29383
  1016
val global_done_proof = terminal_proof global_qeds Method.done_text (NONE, false);
wenzelm@5820
  1017
wenzelm@49848
  1018
end;
wenzelm@49848
  1019
wenzelm@6896
  1020
wenzelm@17359
  1021
(* common goal statements *)
wenzelm@17359
  1022
wenzelm@17359
  1023
local
wenzelm@17359
  1024
wenzelm@17859
  1025
fun gen_have prep_att prepp before_qed after_qed stmt int =
wenzelm@46728
  1026
  local_goal (Proof_Display.print_results Isabelle_Markup.state int)
wenzelm@46728
  1027
    prep_att prepp "have" before_qed after_qed stmt;
wenzelm@6896
  1028
wenzelm@17859
  1029
fun gen_show prep_att prepp before_qed after_qed stmt int state =
wenzelm@17359
  1030
  let
wenzelm@32738
  1031
    val testing = Unsynchronized.ref false;
wenzelm@32738
  1032
    val rule = Unsynchronized.ref (NONE: thm option);
wenzelm@17359
  1033
    fun fail_msg ctxt =
wenzelm@29383
  1034
      "Local statement will fail to refine any pending goal" ::
wenzelm@33389
  1035
      (case ! rule of NONE => [] | SOME th => [Proof_Display.string_of_rule ctxt "Failed" th])
wenzelm@17359
  1036
      |> cat_lines;
wenzelm@6896
  1037
wenzelm@17359
  1038
    fun print_results ctxt res =
wenzelm@46728
  1039
      if ! testing then ()
wenzelm@46728
  1040
      else Proof_Display.print_results Isabelle_Markup.state int ctxt res;
wenzelm@17359
  1041
    fun print_rule ctxt th =
wenzelm@17359
  1042
      if ! testing then rule := SOME th
wenzelm@41181
  1043
      else if int then
wenzelm@45666
  1044
        writeln
wenzelm@45666
  1045
          (Markup.markup Isabelle_Markup.state (Proof_Display.string_of_rule ctxt "Successful" th))
wenzelm@17359
  1046
      else ();
wenzelm@17359
  1047
    val test_proof =
wenzelm@29383
  1048
      try (local_skip_proof true)
wenzelm@39616
  1049
      |> Unsynchronized.setmp testing true
wenzelm@42042
  1050
      |> Exn.interruptible_capture;
wenzelm@6896
  1051
wenzelm@18124
  1052
    fun after_qed' results =
wenzelm@19482
  1053
      refine_goals print_rule (context_of state) (flat results)
wenzelm@29383
  1054
      #> check_result "Failed to refine any pending goal"
wenzelm@29383
  1055
      #> after_qed results;
wenzelm@17359
  1056
  in
wenzelm@17359
  1057
    state
wenzelm@17859
  1058
    |> local_goal print_results prep_att prepp "show" before_qed after_qed' stmt
wenzelm@21565
  1059
    |> int ? (fn goal_state =>
wenzelm@17359
  1060
      (case test_proof goal_state of
wenzelm@43761
  1061
        Exn.Res (SOME _) => goal_state
wenzelm@43761
  1062
      | Exn.Res NONE => error (fail_msg (context_of goal_state))
wenzelm@42042
  1063
      | Exn.Exn exn => raise Exn.EXCEPTIONS ([exn, ERROR (fail_msg (context_of goal_state))])))
wenzelm@17359
  1064
  end;
wenzelm@17359
  1065
wenzelm@17359
  1066
in
wenzelm@17359
  1067
wenzelm@42360
  1068
val have = gen_have (K I) Proof_Context.bind_propp_i;
wenzelm@47815
  1069
val have_cmd = gen_have Attrib.attribute_cmd Proof_Context.bind_propp;
wenzelm@42360
  1070
val show = gen_show (K I) Proof_Context.bind_propp_i;
wenzelm@47815
  1071
val show_cmd = gen_show Attrib.attribute_cmd Proof_Context.bind_propp;
wenzelm@6896
  1072
wenzelm@5820
  1073
end;
wenzelm@17359
  1074
wenzelm@28410
  1075
wenzelm@29385
  1076
wenzelm@29385
  1077
(** future proofs **)
wenzelm@29385
  1078
wenzelm@29385
  1079
(* relevant proof states *)
wenzelm@29385
  1080
wenzelm@29385
  1081
fun is_schematic t =
wenzelm@29385
  1082
  Term.exists_subterm Term.is_Var t orelse
wenzelm@29385
  1083
  Term.exists_type (Term.exists_subtype Term.is_TVar) t;
wenzelm@29385
  1084
wenzelm@29385
  1085
fun schematic_goal state =
wenzelm@29385
  1086
  let val (_, (_, {statement = (_, _, prop), ...})) = find_goal state
wenzelm@29385
  1087
  in is_schematic prop end;
wenzelm@29385
  1088
wenzelm@29385
  1089
fun is_relevant state =
wenzelm@29385
  1090
  (case try find_goal state of
wenzelm@29385
  1091
    NONE => true
wenzelm@29385
  1092
  | SOME (_, (_, {statement = (_, _, prop), goal, ...})) =>
wenzelm@29385
  1093
      is_schematic prop orelse not (Logic.protect prop aconv Thm.concl_of goal));
wenzelm@29385
  1094
wenzelm@29385
  1095
wenzelm@29385
  1096
(* full proofs *)
wenzelm@28410
  1097
wenzelm@29346
  1098
local
wenzelm@29346
  1099
wenzelm@29385
  1100
fun future_proof done get_context fork_proof state =
wenzelm@28410
  1101
  let
wenzelm@29381
  1102
    val _ = assert_backward state;
wenzelm@28410
  1103
    val (goal_ctxt, (_, goal)) = find_goal state;
wenzelm@32786
  1104
    val {statement as (kind, _, prop), messages, using, goal, before_qed, after_qed} = goal;
wenzelm@47431
  1105
    val goal_tfrees =
wenzelm@47431
  1106
      fold Term.add_tfrees
wenzelm@47431
  1107
        (prop :: map Thm.term_of (Assumption.all_assms_of goal_ctxt)) [];
wenzelm@28410
  1108
wenzelm@29383
  1109
    val _ = is_relevant state andalso error "Cannot fork relevant proof";
wenzelm@29383
  1110
wenzelm@29346
  1111
    val prop' = Logic.protect prop;
wenzelm@29346
  1112
    val statement' = (kind, [[], [prop']], prop');
wenzelm@29346
  1113
    val goal' = Thm.adjust_maxidx_thm (Thm.maxidx_of goal)
wenzelm@29346
  1114
      (Drule.comp_no_flatten (goal, Thm.nprems_of goal) 1 Drule.protectI);
wenzelm@29385
  1115
wenzelm@33386
  1116
    fun after_local' [[th]] = put_thms false (Auto_Bind.thisN, SOME [th]);
wenzelm@42360
  1117
    fun after_global' [[th]] = Proof_Context.put_thms false (Auto_Bind.thisN, SOME [th]);
wenzelm@29385
  1118
    val after_qed' = (after_local', after_global');
wenzelm@42360
  1119
    val this_name = Proof_Context.full_name goal_ctxt (Binding.name Auto_Bind.thisN);
wenzelm@28410
  1120
wenzelm@28973
  1121
    val result_ctxt =
wenzelm@28973
  1122
      state
wenzelm@29385
  1123
      |> map_goal I (K (statement', messages, using, goal', before_qed, after_qed'))
wenzelm@47431
  1124
        (fold (Variable.declare_typ o TFree) goal_tfrees)
wenzelm@29346
  1125
      |> fork_proof;
wenzelm@28973
  1126
wenzelm@29385
  1127
    val future_thm = result_ctxt |> Future.map (fn (_, x) =>
wenzelm@42360
  1128
      Proof_Context.get_fact_single (get_context x) (Facts.named this_name));
wenzelm@32062
  1129
    val finished_goal = Goal.future_result goal_ctxt future_thm prop';
wenzelm@28973
  1130
    val state' =
wenzelm@28973
  1131
      state
wenzelm@47431
  1132
      |> map_goal I (K (statement, messages, using, finished_goal, NONE, after_qed)) I
wenzelm@29385
  1133
      |> done;
wenzelm@28973
  1134
  in (Future.map #1 result_ctxt, state') end;
wenzelm@28410
  1135
wenzelm@29385
  1136
in
wenzelm@29385
  1137
wenzelm@29385
  1138
fun local_future_proof x = future_proof local_done_proof context_of x;
wenzelm@29385
  1139
fun global_future_proof x = future_proof global_done_proof I x;
wenzelm@29385
  1140
wenzelm@17359
  1141
end;
wenzelm@29346
  1142
wenzelm@29385
  1143
wenzelm@29385
  1144
(* terminal proofs *)
wenzelm@29385
  1145
wenzelm@29385
  1146
local
wenzelm@29385
  1147
wenzelm@49012
  1148
fun future_terminal_proof n proof1 proof2 meths int state =
wenzelm@49012
  1149
  if (Goal.future_enabled_level 4 orelse Goal.future_enabled_nested n andalso not int)
wenzelm@49012
  1150
    andalso not (is_relevant state)
wenzelm@49012
  1151
  then
wenzelm@49012
  1152
    snd (proof2 (fn state' =>
wenzelm@49012
  1153
      Goal.fork_name "Proof.future_terminal_proof" (fn () => ((), proof1 meths state'))) state)
wenzelm@49012
  1154
  else proof1 meths state;
wenzelm@29385
  1155
wenzelm@29385
  1156
in
wenzelm@29385
  1157
wenzelm@29385
  1158
fun local_future_terminal_proof x =
wenzelm@49012
  1159
  future_terminal_proof 2 local_terminal_proof local_future_proof x;
wenzelm@29385
  1160
wenzelm@29385
  1161
fun global_future_terminal_proof x =
wenzelm@49012
  1162
  future_terminal_proof 3 global_terminal_proof global_future_proof x;
wenzelm@29350
  1163
wenzelm@29346
  1164
end;
wenzelm@29346
  1165
wenzelm@29385
  1166
end;
wenzelm@29385
  1167