src/Pure/Isar/proof.ML
author wenzelm
Mon Jan 05 14:22:40 2009 +0100 (2009-01-05)
changeset 29350 c7735554d291
parent 29346 fe6843aa4f5f
child 29364 cea7b4034461
permissions -rw-r--r--
added future_terminal_proof;
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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 = 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 map_contexts: (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 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 goal_message: (unit -> Pretty.T) -> 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: (Binding.T * string option * mixfix) list -> state -> state
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  val fix_i: (Binding.T * typ option * mixfix) list -> state -> state
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  val assm: Assumption.export ->
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    (Attrib.binding * (string * string list) list) list -> state -> state
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  val assm_i: Assumption.export ->
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    ((Binding.T * attribute list) * (term * term list) list) list -> state -> state
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  val assume: (Attrib.binding * (string * string list) list) list -> state -> state
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  val assume_i: ((Binding.T * attribute list) * (term * term list) list) list ->
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    state -> state
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  val presume: (Attrib.binding * (string * string list) list) list -> state -> state
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  val presume_i: ((Binding.T * attribute list) * (term * term list) list) list ->
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    state -> state
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  val def: (Attrib.binding * ((Binding.T * mixfix) * (string * string list))) list ->
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    state -> state
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  val def_i: ((Binding.T * attribute list) *
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    ((Binding.T * 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 -> (Facts.ref * Attrib.src list) list -> thm list
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  val note_thmss: (Attrib.binding * (Facts.ref * Attrib.src list) list) list -> state -> state
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  val note_thmss_i: ((Binding.T * attribute list) *
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    (thm list * attribute list) list) list -> state -> state
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  val from_thmss: ((Facts.ref * 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: ((Facts.ref * 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: ((Facts.ref * 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: ((Facts.ref * 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 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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    ((Binding.T * '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 theorem: Method.text option -> (thm list list -> context -> context) ->
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    (string * string list) list list -> context -> state
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  val theorem_i: Method.text option -> (thm list list -> context -> context) ->
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    (term * term 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 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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    (Attrib.binding * (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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    ((Binding.T * 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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    (Attrib.binding * (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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    ((Binding.T * attribute list) * (term * term list) list) list -> bool -> state -> state
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  val is_relevant: state -> bool
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  val future_proof: (state -> ('a * context) future) -> state -> 'a future * context
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  val future_terminal_proof: Method.text * Method.text option -> 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 = 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 * 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 Seq.seq) *
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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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  ProofContext.set_stmt true #> ProofContext.reset_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 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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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 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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fun map_contexts f = map_all (fn (ctxt, facts, mode, goal) => (f ctxt, facts, mode, goal));
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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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(* 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 true (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, 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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      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 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));
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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 val (_, (_, {statement = (_, _, prop), ...})) = find_goal state in
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    Term.exists_subterm Term.is_Var prop orelse
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    Term.exists_type (Term.exists_subtype Term.is_TVar) prop
wenzelm@21362
   319
  end;
wenzelm@19995
   320
wenzelm@5820
   321
wenzelm@5820
   322
wenzelm@12423
   323
(** pretty_state **)
wenzelm@5820
   324
nipkow@13869
   325
val show_main_goal = ref false;
wenzelm@16539
   326
val verbose = ProofContext.verbose;
nipkow@13698
   327
wenzelm@24961
   328
val pretty_goals_local = Display.pretty_goals_aux o Syntax.pp;
wenzelm@12085
   329
skalberg@15531
   330
fun pretty_facts _ _ NONE = []
skalberg@15531
   331
  | pretty_facts s ctxt (SOME ths) =
wenzelm@12055
   332
      [Pretty.big_list (s ^ "this:") (map (ProofContext.pretty_thm ctxt) ths), Pretty.str ""];
wenzelm@6756
   333
wenzelm@17359
   334
fun pretty_state nr state =
wenzelm@5820
   335
  let
wenzelm@17359
   336
    val {context, facts, mode, goal = _} = current state;
wenzelm@5820
   337
wenzelm@5820
   338
    fun levels_up 0 = ""
wenzelm@17359
   339
      | levels_up 1 = "1 level up"
wenzelm@17359
   340
      | levels_up i = string_of_int i ^ " levels up";
wenzelm@5820
   341
wenzelm@11556
   342
    fun subgoals 0 = ""
wenzelm@17359
   343
      | subgoals 1 = "1 subgoal"
wenzelm@17359
   344
      | subgoals n = string_of_int n ^ " subgoals";
wenzelm@17359
   345
wenzelm@17359
   346
    fun description strs =
wenzelm@28375
   347
      (case filter_out (fn s => s = "") strs of [] => ""
wenzelm@17359
   348
      | strs' => enclose " (" ")" (commas strs'));
wenzelm@12146
   349
wenzelm@24550
   350
    fun prt_goal (SOME (ctxt, (i,
wenzelm@28410
   351
            {statement = ((_, pos), _, _), messages, using, goal, before_qed, after_qed}))) =
wenzelm@17359
   352
          pretty_facts "using " ctxt
wenzelm@17359
   353
            (if mode <> Backward orelse null using then NONE else SOME using) @
wenzelm@21442
   354
          [Pretty.str ("goal" ^
wenzelm@21442
   355
            description [levels_up (i div 2), subgoals (Thm.nprems_of goal)] ^ ":")] @
wenzelm@23639
   356
          pretty_goals_local ctxt Markup.subgoal
wenzelm@24543
   357
            (true, ! show_main_goal) (! Display.goals_limit) goal @
wenzelm@25958
   358
          (map (fn msg => Position.setmp_thread_data pos msg ()) (rev messages))
wenzelm@17359
   359
      | prt_goal NONE = [];
wenzelm@6848
   360
wenzelm@17359
   361
    val prt_ctxt =
wenzelm@17359
   362
      if ! verbose orelse mode = Forward then ProofContext.pretty_context context
wenzelm@18670
   363
      else if mode = Backward then ProofContext.pretty_ctxt context
wenzelm@7575
   364
      else [];
wenzelm@17359
   365
  in
wenzelm@17359
   366
    [Pretty.str ("proof (" ^ mode_name mode ^ "): step " ^ string_of_int nr ^
wenzelm@17359
   367
      (if ! verbose then ", depth " ^ string_of_int (level state div 2 - 1) else "")),
wenzelm@17359
   368
      Pretty.str ""] @
wenzelm@17359
   369
    (if null prt_ctxt then [] else prt_ctxt @ [Pretty.str ""]) @
wenzelm@17359
   370
    (if ! verbose orelse mode = Forward then
wenzelm@17359
   371
       pretty_facts "" context facts @ prt_goal (try find_goal state)
wenzelm@17359
   372
     else if mode = Chain then pretty_facts "picking " context facts
wenzelm@17359
   373
     else prt_goal (try find_goal state))
wenzelm@17359
   374
  end;
wenzelm@5820
   375
wenzelm@12085
   376
fun pretty_goals main state =
wenzelm@19188
   377
  let val (ctxt, (_, goal)) = get_goal state
wenzelm@23639
   378
  in pretty_goals_local ctxt Markup.none (false, main) (! Display.goals_limit) goal end;
wenzelm@10320
   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@18607
   394
  RuleCases.make_common true (Thm.theory_of_thm st, Thm.prop_of st) (map (rpair []) (goals st));
wenzelm@16146
   395
wenzelm@25958
   396
fun apply_method current_context pos meth state =
wenzelm@6848
   397
  let
wenzelm@24556
   398
    val (goal_ctxt, (_, {statement, messages = _, using, goal, before_qed, after_qed})) =
wenzelm@24543
   399
      find_goal state;
wenzelm@25958
   400
    val ctxt = if current_context then context_of state else goal_ctxt;
wenzelm@16146
   401
  in
wenzelm@25958
   402
    Method.apply pos meth ctxt using goal |> Seq.map (fn (meth_cases, goal') =>
wenzelm@6848
   403
      state
wenzelm@16146
   404
      |> map_goal
wenzelm@18475
   405
          (ProofContext.add_cases false (no_goal_cases goal @ goal_cases goal') #>
wenzelm@18475
   406
           ProofContext.add_cases true meth_cases)
wenzelm@24556
   407
          (K (statement, [], using, goal', before_qed, after_qed)))
wenzelm@16146
   408
  end;
wenzelm@5820
   409
wenzelm@19188
   410
fun select_goals n meth state =
wenzelm@19224
   411
  state
wenzelm@19224
   412
  |> (#2 o #2 o get_goal)
wenzelm@21687
   413
  |> ALLGOALS Goal.conjunction_tac
wenzelm@19224
   414
  |> Seq.maps (fn goal =>
wenzelm@19188
   415
    state
wenzelm@21687
   416
    |> Seq.lift set_goal (Goal.extract 1 n goal |> Seq.maps (Goal.conjunction_tac 1))
wenzelm@19188
   417
    |> Seq.maps meth
wenzelm@19188
   418
    |> Seq.maps (fn state' => state'
wenzelm@19188
   419
      |> Seq.lift set_goal (Goal.retrofit 1 n (#2 (#2 (get_goal state'))) goal))
wenzelm@23360
   420
    |> Seq.maps (apply_method true Position.none (K Method.succeed)));
wenzelm@19188
   421
wenzelm@17112
   422
fun apply_text cc text state =
wenzelm@17112
   423
  let
wenzelm@17112
   424
    val thy = theory_of state;
wenzelm@23360
   425
    val pos_of = #2 o Args.dest_src;
wenzelm@17112
   426
wenzelm@23360
   427
    fun eval (Method.Basic (m, pos)) = apply_method cc pos m
wenzelm@23360
   428
      | eval (Method.Source src) = apply_method cc (pos_of src) (Method.method thy src)
wenzelm@23360
   429
      | eval (Method.Source_i src) = apply_method cc (pos_of src) (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@8234
   441
wenzelm@18908
   442
fun refine_insert [] = I
wenzelm@23360
   443
  | refine_insert ths = Seq.hd o refine (Method.Basic (K (Method.insert ths), Position.none));
wenzelm@18908
   444
wenzelm@8234
   445
end;
wenzelm@8234
   446
wenzelm@5820
   447
wenzelm@17359
   448
(* refine via sub-proof *)
wenzelm@17359
   449
wenzelm@20208
   450
fun goal_tac rule =
wenzelm@21687
   451
  Goal.norm_hhf_tac THEN' Tactic.rtac rule THEN_ALL_NEW
wenzelm@21687
   452
    (Goal.norm_hhf_tac THEN' (SUBGOAL (fn (goal, i) =>
wenzelm@18186
   453
      if can Logic.unprotect (Logic.strip_assums_concl goal) then
wenzelm@18186
   454
        Tactic.etac Drule.protectI i
wenzelm@18186
   455
      else all_tac)));
wenzelm@11816
   456
wenzelm@19915
   457
fun refine_goals print_rule inner raw_rules state =
wenzelm@19915
   458
  let
wenzelm@19915
   459
    val (outer, (_, goal)) = get_goal state;
wenzelm@20208
   460
    fun refine rule st = (print_rule outer rule; FINDGOAL (goal_tac rule) st);
wenzelm@19915
   461
  in
wenzelm@19915
   462
    raw_rules
wenzelm@20309
   463
    |> ProofContext.goal_export inner outer
wenzelm@20309
   464
    |> (fn rules => Seq.lift set_goal (EVERY (map refine rules) goal) state)
wenzelm@19915
   465
  end;
wenzelm@17359
   466
wenzelm@6932
   467
wenzelm@17359
   468
(* conclude_goal *)
wenzelm@6932
   469
wenzelm@28627
   470
fun conclude_goal ctxt goal propss =
wenzelm@5820
   471
  let
wenzelm@28627
   472
    val thy = ProofContext.theory_of ctxt;
wenzelm@24920
   473
    val string_of_term = Syntax.string_of_term ctxt;
wenzelm@19774
   474
    val string_of_thm = ProofContext.string_of_thm ctxt;
wenzelm@5820
   475
wenzelm@17359
   476
    val ngoals = Thm.nprems_of goal;
wenzelm@19774
   477
    val _ = ngoals = 0 orelse error (Pretty.string_of (Pretty.chunks
wenzelm@23639
   478
      (pretty_goals_local ctxt Markup.none (true, ! show_main_goal) (! Display.goals_limit) goal @
wenzelm@23639
   479
        [Pretty.str (string_of_int ngoals ^ " unsolved goal(s)!")])));
wenzelm@20224
   480
wenzelm@20224
   481
    val extra_hyps = Assumption.extra_hyps ctxt goal;
wenzelm@20224
   482
    val _ = null extra_hyps orelse
wenzelm@20224
   483
      error ("Additional hypotheses:\n" ^ cat_lines (map string_of_term extra_hyps));
wenzelm@5820
   484
wenzelm@23418
   485
    fun lost_structure () = error ("Lost goal structure:\n" ^ string_of_thm goal);
wenzelm@23418
   486
berghofe@23782
   487
    val th = Goal.conclude
wenzelm@23806
   488
      (if length (flat propss) > 1 then Thm.norm_proof goal else goal)
berghofe@23782
   489
      handle THM _ => lost_structure ();
wenzelm@23418
   490
    val goal_propss = filter_out null propss;
wenzelm@23418
   491
    val results =
wenzelm@23418
   492
      Conjunction.elim_balanced (length goal_propss) th
wenzelm@23418
   493
      |> map2 Conjunction.elim_balanced (map length goal_propss)
wenzelm@23418
   494
      handle THM _ => lost_structure ();
wenzelm@23418
   495
    val _ = Unify.matches_list thy (flat goal_propss) (map Thm.prop_of (flat results)) orelse
wenzelm@19774
   496
      error ("Proved a different theorem:\n" ^ string_of_thm th);
wenzelm@28627
   497
    val _ = Thm.check_shyps (Variable.sorts_of ctxt) th;
wenzelm@23418
   498
wenzelm@23418
   499
    fun recover_result ([] :: pss) thss = [] :: recover_result pss thss
wenzelm@23418
   500
      | recover_result (_ :: pss) (ths :: thss) = ths :: recover_result pss thss
wenzelm@23418
   501
      | recover_result [] [] = []
wenzelm@23418
   502
      | recover_result _ _ = lost_structure ();
wenzelm@23418
   503
  in recover_result propss results end;
wenzelm@5820
   504
wenzelm@5820
   505
wenzelm@5820
   506
wenzelm@5820
   507
(*** structured proof commands ***)
wenzelm@5820
   508
wenzelm@17112
   509
(** context elements **)
wenzelm@5820
   510
wenzelm@17112
   511
(* bindings *)
wenzelm@5820
   512
wenzelm@16813
   513
local
wenzelm@16813
   514
wenzelm@17359
   515
fun gen_bind bind args state =
wenzelm@5820
   516
  state
wenzelm@5820
   517
  |> assert_forward
wenzelm@18308
   518
  |> map_context (bind args #> snd)
wenzelm@17359
   519
  |> put_facts NONE;
wenzelm@5820
   520
wenzelm@16813
   521
in
wenzelm@16813
   522
wenzelm@8617
   523
val match_bind = gen_bind (ProofContext.match_bind false);
wenzelm@8617
   524
val match_bind_i = gen_bind (ProofContext.match_bind_i false);
wenzelm@8617
   525
val let_bind = gen_bind (ProofContext.match_bind true);
wenzelm@8617
   526
val let_bind_i = gen_bind (ProofContext.match_bind_i true);
wenzelm@5820
   527
wenzelm@16813
   528
end;
wenzelm@16813
   529
wenzelm@5820
   530
wenzelm@17359
   531
(* fix *)
wenzelm@9196
   532
wenzelm@12714
   533
local
wenzelm@12714
   534
wenzelm@18670
   535
fun gen_fix add_fixes args =
wenzelm@17359
   536
  assert_forward
wenzelm@19846
   537
  #> map_context (snd o add_fixes args)
wenzelm@17359
   538
  #> put_facts NONE;
wenzelm@5820
   539
wenzelm@16813
   540
in
wenzelm@16813
   541
wenzelm@18670
   542
val fix = gen_fix ProofContext.add_fixes;
wenzelm@18670
   543
val fix_i = gen_fix ProofContext.add_fixes_i;
wenzelm@5820
   544
wenzelm@16813
   545
end;
wenzelm@16813
   546
wenzelm@5820
   547
wenzelm@17359
   548
(* assume etc. *)
wenzelm@5820
   549
wenzelm@16813
   550
local
wenzelm@16813
   551
wenzelm@17112
   552
fun gen_assume asm prep_att exp args state =
wenzelm@5820
   553
  state
wenzelm@5820
   554
  |> assert_forward
wenzelm@17112
   555
  |> map_context_result (asm exp (Attrib.map_specs (prep_att (theory_of state)) args))
wenzelm@17359
   556
  |> these_factss [] |> #2;
wenzelm@6932
   557
wenzelm@16813
   558
in
wenzelm@16813
   559
wenzelm@18728
   560
val assm      = gen_assume ProofContext.add_assms Attrib.attribute;
wenzelm@18670
   561
val assm_i    = gen_assume ProofContext.add_assms_i (K I);
wenzelm@20224
   562
val assume    = assm Assumption.assume_export;
wenzelm@20224
   563
val assume_i  = assm_i Assumption.assume_export;
wenzelm@20224
   564
val presume   = assm Assumption.presume_export;
wenzelm@20224
   565
val presume_i = assm_i Assumption.presume_export;
wenzelm@5820
   566
wenzelm@16813
   567
end;
wenzelm@16813
   568
wenzelm@7271
   569
wenzelm@17359
   570
(* def *)
wenzelm@11891
   571
wenzelm@16813
   572
local
wenzelm@16813
   573
wenzelm@20913
   574
fun gen_def prep_att prep_vars prep_binds args state =
wenzelm@11891
   575
  let
wenzelm@11891
   576
    val _ = assert_forward state;
wenzelm@17112
   577
    val thy = theory_of state;
wenzelm@20913
   578
    val ctxt = context_of state;
wenzelm@11891
   579
wenzelm@20913
   580
    val (raw_name_atts, (raw_vars, raw_rhss)) = args |> split_list ||> split_list;
wenzelm@20913
   581
    val name_atts = map (apsnd (map (prep_att thy))) raw_name_atts;
wenzelm@11891
   582
  in
wenzelm@20913
   583
    state
wenzelm@20913
   584
    |> map_context_result (prep_vars (map (fn (x, mx) => (x, NONE, mx)) raw_vars))
wenzelm@20913
   585
    |>> map (fn (x, _, mx) => (x, mx))
wenzelm@20913
   586
    |-> (fn vars =>
wenzelm@20913
   587
      map_context_result (prep_binds false (map swap raw_rhss))
wenzelm@20913
   588
      #-> (fn rhss => map_context_result (LocalDefs.add_defs (vars ~~ (name_atts ~~ rhss)))))
wenzelm@20913
   589
    |-> (put_facts o SOME o map (#2 o #2))
wenzelm@11891
   590
  end;
wenzelm@11891
   591
wenzelm@16813
   592
in
wenzelm@16813
   593
wenzelm@20913
   594
val def = gen_def Attrib.attribute ProofContext.read_vars ProofContext.match_bind;
wenzelm@20913
   595
val def_i = gen_def (K I) ProofContext.cert_vars ProofContext.match_bind_i;
wenzelm@11891
   596
wenzelm@16813
   597
end;
wenzelm@16813
   598
wenzelm@11891
   599
wenzelm@8374
   600
wenzelm@17112
   601
(** facts **)
wenzelm@5820
   602
wenzelm@17359
   603
(* chain *)
wenzelm@5820
   604
wenzelm@24011
   605
fun clean_facts ctxt =
wenzelm@24050
   606
  put_facts (SOME (filter_out Thm.is_dummy (the_facts ctxt))) ctxt;
wenzelm@24011
   607
wenzelm@17359
   608
val chain =
wenzelm@17359
   609
  assert_forward
wenzelm@24011
   610
  #> clean_facts
wenzelm@17359
   611
  #> enter_chain;
wenzelm@5820
   612
wenzelm@17359
   613
fun chain_facts facts =
wenzelm@17359
   614
  put_facts (SOME facts)
wenzelm@17359
   615
  #> chain;
wenzelm@5820
   616
wenzelm@5820
   617
wenzelm@17359
   618
(* note etc. *)
wenzelm@17112
   619
haftmann@28965
   620
fun no_binding args = map (pair (Binding.empty, [])) args;
wenzelm@17112
   621
wenzelm@17112
   622
local
wenzelm@17112
   623
wenzelm@17359
   624
fun gen_thmss note_ctxt more_facts opt_chain opt_result prep_atts args state =
wenzelm@17112
   625
  state
wenzelm@17112
   626
  |> assert_forward
wenzelm@17112
   627
  |> map_context_result (note_ctxt (Attrib.map_facts (prep_atts (theory_of state)) args))
wenzelm@17112
   628
  |> these_factss (more_facts state)
wenzelm@17359
   629
  ||> opt_chain
wenzelm@17359
   630
  |> opt_result;
wenzelm@17112
   631
wenzelm@17112
   632
in
wenzelm@17112
   633
wenzelm@21442
   634
val note_thmss = gen_thmss (ProofContext.note_thmss "") (K []) I #2 Attrib.attribute;
wenzelm@21442
   635
val note_thmss_i = gen_thmss (ProofContext.note_thmss_i "") (K []) I #2 (K I);
wenzelm@17112
   636
wenzelm@17112
   637
val from_thmss =
wenzelm@21442
   638
  gen_thmss (ProofContext.note_thmss "") (K []) chain #2 Attrib.attribute o no_binding;
wenzelm@21442
   639
val from_thmss_i = gen_thmss (ProofContext.note_thmss_i "") (K []) chain #2 (K I) o no_binding;
wenzelm@17112
   640
wenzelm@17112
   641
val with_thmss =
wenzelm@21442
   642
  gen_thmss (ProofContext.note_thmss "") the_facts chain #2 Attrib.attribute o no_binding;
wenzelm@21442
   643
val with_thmss_i = gen_thmss (ProofContext.note_thmss_i "") the_facts chain #2 (K I) o no_binding;
wenzelm@17359
   644
wenzelm@18808
   645
val local_results =
wenzelm@21442
   646
  gen_thmss (ProofContext.note_thmss_i "") (K []) I I (K I) o map (apsnd Thm.simple_fact);
wenzelm@17359
   647
haftmann@28965
   648
fun get_thmss state srcs = the_facts (note_thmss [((Binding.empty, []), srcs)] state);
wenzelm@17112
   649
wenzelm@17112
   650
end;
wenzelm@17112
   651
wenzelm@17112
   652
wenzelm@18548
   653
(* using/unfolding *)
wenzelm@17112
   654
wenzelm@17112
   655
local
wenzelm@17112
   656
wenzelm@18548
   657
fun gen_using f g note prep_atts args state =
wenzelm@17112
   658
  state
wenzelm@17112
   659
  |> assert_backward
wenzelm@21442
   660
  |> map_context_result
wenzelm@21442
   661
    (note "" (Attrib.map_facts (prep_atts (theory_of state)) (no_binding args)))
wenzelm@18843
   662
  |> (fn (named_facts, state') =>
wenzelm@24556
   663
    state' |> map_goal I (fn (statement, _, using, goal, before_qed, after_qed) =>
wenzelm@18843
   664
      let
wenzelm@18843
   665
        val ctxt = context_of state';
wenzelm@19482
   666
        val ths = maps snd named_facts;
wenzelm@24556
   667
      in (statement, [], f ctxt ths using, g ctxt ths goal, before_qed, after_qed) end));
wenzelm@18548
   668
wenzelm@24050
   669
fun append_using _ ths using = using @ filter_out Thm.is_dummy ths;
wenzelm@18878
   670
fun unfold_using ctxt ths = map (LocalDefs.unfold ctxt ths);
wenzelm@18878
   671
val unfold_goals = LocalDefs.unfold_goals;
wenzelm@17112
   672
wenzelm@17112
   673
in
wenzelm@17112
   674
wenzelm@18843
   675
val using = gen_using append_using (K (K I)) ProofContext.note_thmss Attrib.attribute;
wenzelm@18843
   676
val using_i = gen_using append_using (K (K I)) ProofContext.note_thmss_i (K I);
wenzelm@18826
   677
val unfolding = gen_using unfold_using unfold_goals ProofContext.note_thmss Attrib.attribute;
wenzelm@18826
   678
val unfolding_i = gen_using unfold_using unfold_goals ProofContext.note_thmss_i (K I);
wenzelm@17112
   679
wenzelm@17112
   680
end;
wenzelm@17112
   681
wenzelm@17112
   682
wenzelm@17112
   683
(* case *)
wenzelm@17112
   684
wenzelm@17112
   685
local
wenzelm@17112
   686
wenzelm@17112
   687
fun gen_invoke_case prep_att (name, xs, raw_atts) state =
wenzelm@17112
   688
  let
wenzelm@17112
   689
    val atts = map (prep_att (theory_of state)) raw_atts;
wenzelm@19078
   690
    val (asms, state') = state |> map_context_result (fn ctxt =>
wenzelm@19078
   691
      ctxt |> ProofContext.apply_case (ProofContext.get_case ctxt name xs));
haftmann@28965
   692
    val assumptions = asms |> map (fn (a, ts) => ((Binding.name a, atts), map (rpair []) ts));
wenzelm@17112
   693
  in
wenzelm@17112
   694
    state'
wenzelm@17359
   695
    |> map_context (ProofContext.qualified_names #> ProofContext.no_base_names)
wenzelm@17112
   696
    |> assume_i assumptions
wenzelm@17976
   697
    |> add_binds_i AutoBind.no_facts
wenzelm@17112
   698
    |> map_context (ProofContext.restore_naming (context_of state))
haftmann@28965
   699
    |> `the_facts |-> (fn thms => note_thmss_i [((Binding.name name, []), [(thms, [])])])
wenzelm@17112
   700
  end;
wenzelm@17112
   701
wenzelm@17112
   702
in
wenzelm@17112
   703
wenzelm@18728
   704
val invoke_case = gen_invoke_case Attrib.attribute;
wenzelm@17112
   705
val invoke_case_i = gen_invoke_case (K I);
wenzelm@17112
   706
wenzelm@17112
   707
end;
wenzelm@17112
   708
wenzelm@17112
   709
wenzelm@17112
   710
wenzelm@17359
   711
(** proof structure **)
wenzelm@17359
   712
wenzelm@17359
   713
(* blocks *)
wenzelm@17359
   714
wenzelm@17359
   715
val begin_block =
wenzelm@17359
   716
  assert_forward
wenzelm@17359
   717
  #> open_block
wenzelm@17359
   718
  #> put_goal NONE
wenzelm@17359
   719
  #> open_block;
wenzelm@17359
   720
wenzelm@17359
   721
val next_block =
wenzelm@17359
   722
  assert_forward
wenzelm@17359
   723
  #> close_block
wenzelm@17359
   724
  #> open_block
wenzelm@17359
   725
  #> put_goal NONE
wenzelm@17359
   726
  #> put_facts NONE;
wenzelm@17359
   727
wenzelm@17359
   728
fun end_block state =
wenzelm@17359
   729
  state
wenzelm@17359
   730
  |> assert_forward
wenzelm@17359
   731
  |> close_block
wenzelm@17359
   732
  |> assert_current_goal false
wenzelm@17359
   733
  |> close_block
wenzelm@17359
   734
  |> export_facts state;
wenzelm@17359
   735
wenzelm@17359
   736
wenzelm@17359
   737
(* sub-proofs *)
wenzelm@17359
   738
wenzelm@17359
   739
fun proof opt_text =
wenzelm@17359
   740
  assert_backward
wenzelm@17859
   741
  #> refine (the_default Method.default_text opt_text)
wenzelm@17359
   742
  #> Seq.map (using_facts [] #> enter_forward);
wenzelm@17359
   743
wenzelm@23360
   744
fun end_proof bot txt state =
wenzelm@23360
   745
  state
wenzelm@23360
   746
  |> assert_forward
wenzelm@23360
   747
  |> assert_bottom bot
wenzelm@23360
   748
  |> close_block
wenzelm@23360
   749
  |> assert_current_goal true
wenzelm@23360
   750
  |> using_facts []
wenzelm@23360
   751
  |> `before_qed |-> (refine o the_default Method.succeed_text)
wenzelm@25958
   752
  |> Seq.maps (refine (Method.finish_text txt (Position.thread_data ())));
wenzelm@17359
   753
wenzelm@17359
   754
wenzelm@17359
   755
(* unstructured refinement *)
wenzelm@17359
   756
wenzelm@23360
   757
fun defer i = assert_no_chain #> refine (Method.Basic (K (Method.defer i), Position.none));
wenzelm@23360
   758
fun prefer i = assert_no_chain #> refine (Method.Basic (K (Method.prefer i), Position.none));
wenzelm@17359
   759
wenzelm@17359
   760
fun apply text = assert_backward #> refine text #> Seq.map (using_facts []);
wenzelm@17359
   761
fun apply_end text = assert_forward #> refine_end text;
wenzelm@17359
   762
wenzelm@17359
   763
wenzelm@17359
   764
wenzelm@17112
   765
(** goals **)
wenzelm@17112
   766
wenzelm@17359
   767
(* generic goals *)
wenzelm@17359
   768
wenzelm@19774
   769
local
wenzelm@19774
   770
wenzelm@19846
   771
fun implicit_vars dest add props =
wenzelm@19846
   772
  let
wenzelm@19846
   773
    val (explicit_vars, props') = take_prefix (can dest) props |>> map dest;
wenzelm@19846
   774
    val vars = rev (subtract (op =) explicit_vars (fold add props []));
wenzelm@19846
   775
    val _ =
wenzelm@19846
   776
      if null vars then ()
wenzelm@19846
   777
      else warning ("Goal statement contains unbound schematic variable(s): " ^
wenzelm@19846
   778
        commas_quote (map (Term.string_of_vname o fst) vars));
wenzelm@19846
   779
  in (rev vars, props') end;
wenzelm@19774
   780
wenzelm@19774
   781
fun refine_terms n =
wenzelm@19774
   782
  refine (Method.Basic (K (Method.RAW_METHOD
wenzelm@19774
   783
    (K (HEADGOAL (PRECISE_CONJUNCTS n
wenzelm@23360
   784
      (HEADGOAL (CONJUNCTS (ALLGOALS (rtac Drule.termI)))))))), Position.none))
wenzelm@19774
   785
  #> Seq.hd;
wenzelm@19774
   786
wenzelm@19774
   787
in
wenzelm@17359
   788
wenzelm@17859
   789
fun generic_goal prepp kind before_qed after_qed raw_propp state =
wenzelm@5820
   790
  let
wenzelm@17359
   791
    val thy = theory_of state;
wenzelm@23418
   792
    val cert = Thm.cterm_of thy;
wenzelm@17359
   793
    val chaining = can assert_chain state;
wenzelm@25958
   794
    val pos = Position.thread_data ();
wenzelm@17359
   795
wenzelm@17359
   796
    val ((propss, after_ctxt), goal_state) =
wenzelm@5936
   797
      state
wenzelm@5936
   798
      |> assert_forward_or_chain
wenzelm@5936
   799
      |> enter_forward
wenzelm@17359
   800
      |> open_block
wenzelm@17859
   801
      |> map_context_result (fn ctxt => swap (prepp (ctxt, raw_propp)));
wenzelm@19482
   802
    val props = flat propss;
wenzelm@15703
   803
wenzelm@19846
   804
    val (_, props') =
wenzelm@19846
   805
      implicit_vars (dest_TVar o Logic.dest_type o Logic.dest_term) Term.add_tvars props;
wenzelm@19846
   806
    val (vars, _) = implicit_vars (dest_Var o Logic.dest_term) Term.add_vars props';
wenzelm@19774
   807
wenzelm@19774
   808
    val propss' = map (Logic.mk_term o Var) vars :: propss;
wenzelm@23418
   809
    val goal_propss = filter_out null propss';
wenzelm@29346
   810
    val goal =
wenzelm@29346
   811
      cert (Logic.mk_conjunction_balanced (map Logic.mk_conjunction_balanced goal_propss))
wenzelm@28627
   812
      |> Thm.weaken_sorts (Variable.sorts_of (context_of goal_state));
wenzelm@29346
   813
    val statement = ((kind, pos), propss', Thm.term_of goal);
wenzelm@18124
   814
    val after_qed' = after_qed |>> (fn after_local =>
wenzelm@18124
   815
      fn results => map_context after_ctxt #> after_local results);
wenzelm@5820
   816
  in
wenzelm@17359
   817
    goal_state
wenzelm@21727
   818
    |> map_context (init_context #> Variable.set_body true)
wenzelm@28410
   819
    |> put_goal (SOME (make_goal (statement, [], [], Goal.init goal, before_qed, after_qed')))
wenzelm@17359
   820
    |> map_context (ProofContext.auto_bind_goal props)
wenzelm@21565
   821
    |> chaining ? (`the_facts #-> using_facts)
wenzelm@17359
   822
    |> put_facts NONE
wenzelm@17359
   823
    |> open_block
wenzelm@17359
   824
    |> put_goal NONE
wenzelm@5820
   825
    |> enter_backward
wenzelm@23418
   826
    |> not (null vars) ? refine_terms (length goal_propss)
wenzelm@23360
   827
    |> null props ? (refine (Method.Basic (Method.assumption, Position.none)) #> Seq.hd)
wenzelm@5820
   828
  end;
wenzelm@5820
   829
wenzelm@29090
   830
fun generic_qed after_ctxt state =
wenzelm@12503
   831
  let
wenzelm@25958
   832
    val (goal_ctxt, {statement, goal, after_qed, ...}) = current_goal state;
wenzelm@8617
   833
    val outer_state = state |> close_block;
wenzelm@8617
   834
    val outer_ctxt = context_of outer_state;
wenzelm@8617
   835
wenzelm@28410
   836
    val ((_, pos), stmt, _) = statement;
wenzelm@18503
   837
    val props =
wenzelm@19774
   838
      flat (tl stmt)
wenzelm@19915
   839
      |> Variable.exportT_terms goal_ctxt outer_ctxt;
wenzelm@17359
   840
    val results =
wenzelm@28627
   841
      tl (conclude_goal goal_ctxt goal stmt)
wenzelm@20309
   842
      |> burrow (ProofContext.export goal_ctxt outer_ctxt);
wenzelm@25958
   843
wenzelm@25958
   844
    val (after_local, after_global) = after_qed;
wenzelm@25958
   845
    fun after_local' x y = Position.setmp_thread_data_seq pos (fn () => after_local x y) ();
wenzelm@25958
   846
    fun after_global' x y = Position.setmp_thread_data pos (fn () => after_global x y) ();
wenzelm@17359
   847
  in
wenzelm@17359
   848
    outer_state
wenzelm@29090
   849
    |> map_context (after_ctxt props)
wenzelm@25958
   850
    |> pair ((after_local', after_global'), results)
wenzelm@17359
   851
  end;
wenzelm@17359
   852
wenzelm@19774
   853
end;
wenzelm@19774
   854
wenzelm@9469
   855
wenzelm@17359
   856
(* local goals *)
wenzelm@17359
   857
wenzelm@17859
   858
fun local_goal print_results prep_att prepp kind before_qed after_qed stmt state =
wenzelm@17359
   859
  let
wenzelm@21362
   860
    val thy = theory_of state;
wenzelm@21362
   861
    val ((names, attss), propp) =
wenzelm@21362
   862
      Attrib.map_specs (prep_att thy) stmt |> split_list |>> split_list;
wenzelm@17359
   863
wenzelm@18124
   864
    fun after_qed' results =
wenzelm@18808
   865
      local_results ((names ~~ attss) ~~ results)
wenzelm@17359
   866
      #-> (fn res => tap (fn st => print_results (context_of st) ((kind, ""), res) : unit))
wenzelm@18124
   867
      #> after_qed results;
wenzelm@5820
   868
  in
wenzelm@17359
   869
    state
wenzelm@21362
   870
    |> generic_goal prepp kind before_qed (after_qed', K I) propp
wenzelm@19900
   871
    |> tap (Variable.warn_extra_tfrees (context_of state) o context_of)
wenzelm@5820
   872
  end;
wenzelm@5820
   873
wenzelm@17359
   874
fun local_qed txt =
wenzelm@20309
   875
  end_proof false txt #>
wenzelm@29090
   876
  Seq.maps (generic_qed ProofContext.auto_bind_facts #->
wenzelm@29090
   877
    (fn ((after_qed, _), results) => after_qed results));
wenzelm@5820
   878
wenzelm@5820
   879
wenzelm@17359
   880
(* global goals *)
wenzelm@17359
   881
wenzelm@21442
   882
fun global_goal prepp before_qed after_qed propp ctxt =
wenzelm@21362
   883
  init ctxt
wenzelm@21442
   884
  |> generic_goal (prepp #> ProofContext.auto_fixes) ""
wenzelm@21362
   885
    before_qed (K Seq.single, after_qed) propp;
wenzelm@17359
   886
wenzelm@21362
   887
val theorem = global_goal ProofContext.bind_propp_schematic;
wenzelm@21362
   888
val theorem_i = global_goal ProofContext.bind_propp_schematic_i;
wenzelm@12065
   889
wenzelm@18678
   890
fun check_result msg sq =
wenzelm@17112
   891
  (case Seq.pull sq of
wenzelm@18678
   892
    NONE => error msg
wenzelm@19475
   893
  | SOME (s', sq') => Seq.cons s' sq');
wenzelm@17112
   894
wenzelm@17359
   895
fun global_qeds txt =
wenzelm@17359
   896
  end_proof true txt
wenzelm@29090
   897
  #> Seq.map (generic_qed (K I) #> (fn (((_, after_qed), results), state) =>
wenzelm@20363
   898
    after_qed results (context_of state)))
wenzelm@17112
   899
  |> Seq.DETERM;   (*backtracking may destroy theory!*)
wenzelm@17112
   900
wenzelm@18678
   901
fun global_qed txt =
wenzelm@18678
   902
  global_qeds txt
wenzelm@18678
   903
  #> check_result "Failed to finish proof"
wenzelm@18678
   904
  #> Seq.hd;
wenzelm@12959
   905
wenzelm@5820
   906
wenzelm@17359
   907
(* concluding steps *)
wenzelm@17112
   908
wenzelm@17359
   909
fun local_terminal_proof (text, opt_text) =
wenzelm@17359
   910
  proof (SOME text) #> Seq.maps (local_qed (opt_text, true));
wenzelm@17112
   911
wenzelm@17112
   912
val local_default_proof = local_terminal_proof (Method.default_text, NONE);
wenzelm@17112
   913
val local_immediate_proof = local_terminal_proof (Method.this_text, NONE);
wenzelm@17359
   914
val local_done_proof = proof (SOME Method.done_text) #> Seq.maps (local_qed (NONE, false));
wenzelm@17359
   915
fun local_skip_proof int = local_terminal_proof (Method.sorry_text int, NONE);
wenzelm@17112
   916
wenzelm@18678
   917
fun global_term_proof immed (text, opt_text) =
wenzelm@18678
   918
  proof (SOME text)
wenzelm@18678
   919
  #> check_result "Terminal proof method failed"
wenzelm@18678
   920
  #> Seq.maps (global_qeds (opt_text, immed))
wenzelm@18678
   921
  #> check_result "Failed to finish proof (after successful terminal method)"
wenzelm@18678
   922
  #> Seq.hd;
wenzelm@17112
   923
wenzelm@17112
   924
val global_terminal_proof = global_term_proof true;
wenzelm@17112
   925
val global_default_proof = global_terminal_proof (Method.default_text, NONE);
wenzelm@17112
   926
val global_immediate_proof = global_terminal_proof (Method.this_text, NONE);
wenzelm@17112
   927
val global_done_proof = global_term_proof false (Method.done_text, NONE);
wenzelm@17359
   928
fun global_skip_proof int = global_terminal_proof (Method.sorry_text int, NONE);
wenzelm@5820
   929
wenzelm@6896
   930
wenzelm@17359
   931
(* common goal statements *)
wenzelm@17359
   932
wenzelm@17359
   933
local
wenzelm@17359
   934
wenzelm@17859
   935
fun gen_have prep_att prepp before_qed after_qed stmt int =
wenzelm@17859
   936
  local_goal (ProofDisplay.print_results int) prep_att prepp "have" before_qed after_qed stmt;
wenzelm@6896
   937
wenzelm@17859
   938
fun gen_show prep_att prepp before_qed after_qed stmt int state =
wenzelm@17359
   939
  let
wenzelm@17359
   940
    val testing = ref false;
wenzelm@17359
   941
    val rule = ref (NONE: thm option);
wenzelm@17359
   942
    fun fail_msg ctxt =
wenzelm@17359
   943
      "Local statement will fail to solve any pending goal" ::
wenzelm@17359
   944
      (case ! rule of NONE => [] | SOME th => [ProofDisplay.string_of_rule ctxt "Failed" th])
wenzelm@17359
   945
      |> cat_lines;
wenzelm@6896
   946
wenzelm@17359
   947
    fun print_results ctxt res =
wenzelm@17359
   948
      if ! testing then () else ProofDisplay.print_results int ctxt res;
wenzelm@17359
   949
    fun print_rule ctxt th =
wenzelm@17359
   950
      if ! testing then rule := SOME th
wenzelm@17359
   951
      else if int then priority (ProofDisplay.string_of_rule ctxt "Successful" th)
wenzelm@17359
   952
      else ();
wenzelm@17359
   953
    val test_proof =
wenzelm@17359
   954
      (Seq.pull oo local_skip_proof) true
wenzelm@28289
   955
      |> setmp_noncritical testing true
wenzelm@23963
   956
      |> Exn.capture;
wenzelm@6896
   957
wenzelm@18124
   958
    fun after_qed' results =
wenzelm@19482
   959
      refine_goals print_rule (context_of state) (flat results)
wenzelm@18124
   960
      #> Seq.maps (after_qed results);
wenzelm@17359
   961
  in
wenzelm@17359
   962
    state
wenzelm@17859
   963
    |> local_goal print_results prep_att prepp "show" before_qed after_qed' stmt
wenzelm@21565
   964
    |> int ? (fn goal_state =>
wenzelm@17359
   965
      (case test_proof goal_state of
wenzelm@23963
   966
        Exn.Result (SOME _) => goal_state
wenzelm@23963
   967
      | Exn.Result NONE => error (fail_msg (context_of goal_state))
wenzelm@28443
   968
      | Exn.Exn Exn.Interrupt => raise Exn.Interrupt
wenzelm@28458
   969
      | Exn.Exn exn => raise Exn.EXCEPTIONS ([exn, ERROR (fail_msg (context_of goal_state))])))
wenzelm@17359
   970
  end;
wenzelm@17359
   971
wenzelm@17359
   972
in
wenzelm@17359
   973
wenzelm@18728
   974
val have = gen_have Attrib.attribute ProofContext.bind_propp;
wenzelm@17359
   975
val have_i = gen_have (K I) ProofContext.bind_propp_i;
wenzelm@18728
   976
val show = gen_show Attrib.attribute ProofContext.bind_propp;
wenzelm@17359
   977
val show_i = gen_show (K I) ProofContext.bind_propp_i;
wenzelm@6896
   978
wenzelm@5820
   979
end;
wenzelm@17359
   980
wenzelm@28410
   981
wenzelm@28452
   982
(* fork global proofs *)
wenzelm@28410
   983
wenzelm@29346
   984
local
wenzelm@29346
   985
wenzelm@29346
   986
fun is_original state =
wenzelm@28410
   987
  (case try find_goal state of
wenzelm@28410
   988
    NONE => false
wenzelm@29346
   989
  | SOME (_, (_, {statement = (_, _, prop), goal, ...})) =>
wenzelm@29346
   990
      Logic.protect prop aconv Thm.concl_of goal);
wenzelm@29346
   991
wenzelm@29346
   992
in
wenzelm@28410
   993
wenzelm@28452
   994
fun is_relevant state =
wenzelm@28452
   995
  can (assert_bottom false) state orelse
wenzelm@28452
   996
  can assert_forward state orelse
wenzelm@29346
   997
  not (is_original state) orelse
wenzelm@28452
   998
  schematic_goal state;
wenzelm@28410
   999
wenzelm@29346
  1000
fun future_proof fork_proof state =
wenzelm@28410
  1001
  let
wenzelm@28452
  1002
    val _ = is_relevant state andalso error "Cannot fork relevant proof";
wenzelm@28410
  1003
wenzelm@28410
  1004
    val (goal_ctxt, (_, goal)) = find_goal state;
wenzelm@29346
  1005
    val {statement as (kind, propss, prop), messages, using, goal, before_qed, after_qed} = goal;
wenzelm@28410
  1006
wenzelm@29346
  1007
    val prop' = Logic.protect prop;
wenzelm@29346
  1008
    val statement' = (kind, [[], [prop']], prop');
wenzelm@29346
  1009
    val goal' = Thm.adjust_maxidx_thm (Thm.maxidx_of goal)
wenzelm@29346
  1010
      (Drule.comp_no_flatten (goal, Thm.nprems_of goal) 1 Drule.protectI);
wenzelm@29346
  1011
    fun after_qed' [[th]] = ProofContext.put_thms false (AutoBind.thisN, SOME [th]);
wenzelm@29346
  1012
    val this_name = ProofContext.full_bname goal_ctxt AutoBind.thisN;
wenzelm@28410
  1013
wenzelm@28973
  1014
    val result_ctxt =
wenzelm@28973
  1015
      state
wenzelm@28452
  1016
      |> map_contexts (Variable.auto_fixes prop)
wenzelm@28450
  1017
      |> map_goal I (K (statement', messages, using, goal', before_qed, (#1 after_qed, after_qed')))
wenzelm@29346
  1018
      |> fork_proof;
wenzelm@28973
  1019
wenzelm@29346
  1020
    val future_thm = result_ctxt |> Future.map (fn (_, ctxt) =>
wenzelm@28973
  1021
      ProofContext.get_fact_single ctxt (Facts.named this_name));
wenzelm@29346
  1022
    val finished_goal = Goal.future_result goal_ctxt future_thm prop';
wenzelm@28973
  1023
    val state' =
wenzelm@28973
  1024
      state
wenzelm@28973
  1025
      |> map_goal I (K (statement, messages, using, finished_goal, NONE, after_qed))
wenzelm@28973
  1026
      |> global_done_proof;
wenzelm@28973
  1027
  in (Future.map #1 result_ctxt, state') end;
wenzelm@28410
  1028
wenzelm@17359
  1029
end;
wenzelm@29346
  1030
wenzelm@29350
  1031
fun future_terminal_proof meths state =
wenzelm@29350
  1032
  if is_relevant state then global_terminal_proof meths state
wenzelm@29350
  1033
  else #2 (state |> future_proof (fn state' =>
wenzelm@29350
  1034
    Future.fork_pri ~1 (fn () => ((), global_terminal_proof meths state'))));
wenzelm@29350
  1035
wenzelm@29346
  1036
end;
wenzelm@29346
  1037