author | wenzelm |
Sat, 05 Aug 2006 14:52:55 +0200 | |
changeset 20341 | 41e77e688886 |
parent 20309 | 7491ae0357b9 |
child 20363 | f34c5dbe74d5 |
permissions | -rw-r--r-- |
5820 | 1 |
(* Title: Pure/Isar/proof.ML |
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ID: $Id$ |
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Author: Markus Wenzel, TU Muenchen |
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The Isar/VM proof language interpreter: maintains a structured flow of |
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context elements, goals, refinements, and facts. |
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*) |
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signature PROOF = |
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sig |
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type context (*= Context.proof*) |
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type method (*= Method.method*) |
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type state |
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val init: context -> state |
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val level: state -> int |
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val assert_bottom: bool -> state -> state |
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val context_of: state -> context |
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val theory_of: state -> theory |
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val map_context: (context -> context) -> state -> state |
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val add_binds_i: (indexname * term option) list -> state -> state |
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val put_thms: bool -> string * thm list option -> state -> state |
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val put_thms_internal: string * thm list option -> state -> state |
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val the_facts: state -> thm list |
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val the_fact: state -> thm |
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val put_facts: thm list option -> state -> state |
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val assert_forward: state -> state |
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val assert_chain: state -> state |
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val assert_forward_or_chain: state -> state |
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val assert_backward: state -> state |
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val assert_no_chain: state -> state |
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val enter_forward: state -> state |
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val get_goal: state -> context * (thm list * thm) |
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val schematic_goal: state -> bool |
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val show_main_goal: bool ref |
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val verbose: bool ref |
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val pretty_state: int -> state -> Pretty.T list |
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val pretty_goals: bool -> state -> Pretty.T list |
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val refine: Method.text -> state -> state Seq.seq |
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val refine_end: Method.text -> state -> state Seq.seq |
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val refine_insert: thm list -> state -> state |
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val goal_tac: thm -> int -> tactic |
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val refine_goals: (context -> thm -> unit) -> context -> thm list -> state -> state Seq.seq |
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val match_bind: (string list * string) list -> state -> state |
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val match_bind_i: (term list * term) list -> state -> state |
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val let_bind: (string list * string) list -> state -> state |
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val let_bind_i: (term list * term) list -> state -> state |
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val fix: (string * string option * mixfix) list -> state -> state |
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val fix_i: (string * typ option * mixfix) list -> state -> state |
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val assm: Assumption.export -> |
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((string * Attrib.src list) * (string * string list) list) list -> state -> state |
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val assm_i: Assumption.export -> |
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((string * attribute list) * (term * term list) list) list -> state -> state |
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val assume: ((string * Attrib.src list) * (string * string list) list) list -> state -> state |
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val assume_i: ((string * attribute list) * (term * term list) list) list -> state -> state |
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val presume: ((string * Attrib.src list) * (string * string list) list) list -> state -> state |
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val presume_i: ((string * attribute list) * (term * term list) list) list -> state -> state |
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val def: ((string * Attrib.src list) * |
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((string * mixfix) * (string * string list))) list -> state -> state |
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val def_i: ((string * attribute list) * |
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((string * mixfix) * (term * term list))) list -> state -> state |
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val chain: state -> state |
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val chain_facts: thm list -> state -> state |
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val get_thmss: state -> (thmref * Attrib.src list) list -> thm list |
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val simple_note_thms: string -> thm list -> state -> state |
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val note_thmss: ((string * Attrib.src list) * |
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(thmref * Attrib.src list) list) list -> state -> state |
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val note_thmss_i: ((string * attribute list) * |
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(thm list * attribute list) list) list -> state -> state |
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val from_thmss: ((thmref * Attrib.src list) list) list -> state -> state |
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val from_thmss_i: ((thm list * attribute list) list) list -> state -> state |
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val with_thmss: ((thmref * Attrib.src list) list) list -> state -> state |
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val with_thmss_i: ((thm list * attribute list) list) list -> state -> state |
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val using: ((thmref * Attrib.src list) list) list -> state -> state |
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val using_i: ((thm list * attribute list) list) list -> state -> state |
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val unfolding: ((thmref * Attrib.src list) list) list -> state -> state |
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val unfolding_i: ((thm list * attribute list) list) list -> state -> state |
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val invoke_case: string * string option list * Attrib.src list -> state -> state |
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val invoke_case_i: string * string option list * attribute list -> state -> state |
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val begin_block: state -> state |
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val next_block: state -> state |
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val end_block: state -> state |
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val proof: Method.text option -> state -> state Seq.seq |
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val defer: int option -> state -> state Seq.seq |
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val prefer: int -> state -> state Seq.seq |
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val apply: Method.text -> state -> state Seq.seq |
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val apply_end: Method.text -> state -> state Seq.seq |
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val goal_names: string option -> string -> string list -> string |
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val local_goal: (context -> ((string * string) * (string * thm list) list) -> unit) -> |
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(theory -> 'a -> attribute) -> |
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(context * 'b list -> context * (term list list * (context -> context))) -> |
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string -> Method.text option -> (thm list list -> state -> state Seq.seq) -> |
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((string * 'a list) * 'b) list -> state -> state |
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val local_qed: Method.text option * bool -> state -> state Seq.seq |
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val global_goal: (context -> (string * string) * (string * thm list) list -> unit) -> |
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(theory -> 'a -> attribute) -> |
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(context * 'b list -> context * (term list list * (context -> context))) -> |
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string -> Method.text option -> (thm list list -> theory -> theory) -> |
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string option -> string * 'a list -> ((string * 'a list) * 'b) list -> context -> state |
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val global_qed: Method.text option * bool -> state -> context * theory |
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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 * theory |
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val global_default_proof: state -> context * theory |
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val global_immediate_proof: state -> context * theory |
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val global_done_proof: state -> context * theory |
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val global_skip_proof: bool -> state -> context * theory |
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val have: Method.text option -> (thm list list -> state -> state Seq.seq) -> |
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((string * Attrib.src list) * (string * string list) list) list -> bool -> state -> state |
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val have_i: Method.text option -> (thm list list -> state -> state Seq.seq) -> |
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((string * attribute list) * (term * term list) list) list -> bool -> state -> state |
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val show: Method.text option -> (thm list list -> state -> state Seq.seq) -> |
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((string * Attrib.src list) * (string * string list) list) list -> bool -> state -> state |
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val show_i: Method.text option -> (thm list list -> state -> state Seq.seq) -> |
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((string * attribute list) * (term * term list) list) list -> bool -> state -> state |
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val theorem: string -> Method.text option -> (thm list list -> theory -> theory) -> |
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string option -> string * Attrib.src list -> |
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((string * Attrib.src list) * (string * string list) list) list -> context -> state |
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val theorem_i: string -> Method.text option -> (thm list list -> theory -> theory) -> |
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string option -> string * attribute list -> |
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((string * attribute list) * (term * term list) list) list -> context -> state |
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end; |
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structure Proof: PROOF = |
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struct |
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type context = Context.proof; |
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type method = Method.method; |
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(** proof state **) |
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(* datatype state *) |
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datatype mode = Forward | Chain | Backward; |
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datatype state = |
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State of node Stack.T |
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and node = |
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Node of |
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{context: context, |
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facts: thm list option, |
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mode: mode, |
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goal: goal option} |
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and goal = |
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Goal of |
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{statement: string * term list list, (*goal kind and statement, starting with vars*) |
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using: thm list, (*goal facts*) |
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goal: thm, (*subgoals ==> statement*) |
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before_qed: Method.text option, |
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after_qed: |
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(thm list list -> state -> state Seq.seq) * |
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(thm list list -> theory -> theory)}; |
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fun make_goal (statement, using, goal, before_qed, after_qed) = |
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Goal {statement = statement, using = using, goal = goal, |
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before_qed = before_qed, after_qed = after_qed}; |
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fun make_node (context, facts, mode, goal) = |
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Node {context = context, facts = facts, mode = mode, goal = goal}; |
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fun map_node f (Node {context, facts, mode, goal}) = |
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make_node (f (context, facts, mode, goal)); |
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fun init ctxt = State (Stack.init (make_node (ctxt, NONE, Forward, NONE))); |
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fun current (State st) = Stack.top st |> (fn Node node => node); |
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fun map_current f (State st) = State (Stack.map (map_node f) st); |
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(** basic proof state operations **) |
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(* block structure *) |
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fun open_block (State st) = State (Stack.push st); |
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fun close_block (State st) = State (Stack.pop st) |
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handle Empty => error "Unbalanced block parentheses"; |
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fun level (State st) = Stack.level st; |
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fun assert_bottom b state = |
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let val b' = (level state <= 2) in |
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if b andalso not b' then error "Not at bottom of proof!" |
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else if not b andalso b' then error "Already at bottom of proof!" |
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else state |
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end; |
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(* context *) |
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val context_of = #context o current; |
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val theory_of = ProofContext.theory_of o context_of; |
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fun map_context f = |
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map_current (fn (ctxt, facts, mode, goal) => (f ctxt, facts, mode, goal)); |
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fun map_context_result f state = |
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f (context_of state) ||> (fn ctxt => map_context (K ctxt) state); |
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val add_binds_i = map_context o ProofContext.add_binds_i; |
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val put_thms = map_context oo ProofContext.put_thms; |
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val put_thms_internal = map_context o ProofContext.put_thms_internal; |
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(* facts *) |
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val get_facts = #facts o current; |
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fun the_facts state = |
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(case get_facts state of SOME facts => facts |
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| NONE => error "No current facts available"); |
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fun the_fact state = |
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(case the_facts state of [thm] => thm |
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| _ => error "Single theorem expected"); |
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fun put_facts facts = |
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map_current (fn (ctxt, _, mode, goal) => (ctxt, facts, mode, goal)) #> |
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put_thms_internal (AutoBind.thisN, facts); |
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fun these_factss more_facts (named_factss, state) = |
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(named_factss, state |> put_facts (SOME (maps snd named_factss @ more_facts))); |
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fun export_facts inner outer = |
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(case get_facts inner of |
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NONE => put_facts NONE outer |
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| SOME thms => |
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thms |
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|> ProofContext.export (context_of inner) (context_of outer) |
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|> (fn ths => put_facts (SOME ths) outer)); |
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(* mode *) |
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val get_mode = #mode o current; |
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fun put_mode mode = map_current (fn (ctxt, facts, _, goal) => (ctxt, facts, mode, goal)); |
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val mode_name = (fn Forward => "state" | Chain => "chain" | Backward => "prove"); |
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fun assert_mode pred state = |
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let val mode = get_mode state in |
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if pred mode then state |
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else error ("Illegal application of proof command in " ^ quote (mode_name mode) ^ " mode") |
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end; |
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val assert_forward = assert_mode (fn mode => mode = Forward); |
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val assert_chain = assert_mode (fn mode => mode = Chain); |
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val assert_forward_or_chain = assert_mode (fn mode => mode = Forward orelse mode = Chain); |
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val assert_backward = assert_mode (fn mode => mode = Backward); |
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val assert_no_chain = assert_mode (fn mode => mode <> Chain); |
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val enter_forward = put_mode Forward; |
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val enter_chain = put_mode Chain; |
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val enter_backward = put_mode Backward; |
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(* current goal *) |
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fun current_goal state = |
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(case current state of |
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{context, goal = SOME (Goal goal), ...} => (context, goal) |
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| _ => error "No current goal!"); |
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fun assert_current_goal g state = |
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let val g' = can current_goal state in |
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if g andalso not g' then error "No goal in this block!" |
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else if not g andalso g' then error "Goal present in this block!" |
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else state |
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end; |
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fun put_goal goal = map_current (fn (ctxt, using, mode, _) => (ctxt, using, mode, goal)); |
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val before_qed = #before_qed o #2 o current_goal; |
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(* nested goal *) |
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fun map_goal f g (State (Node {context, facts, mode, goal = SOME goal}, nodes)) = |
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let |
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val Goal {statement, using, goal, before_qed, after_qed} = goal; |
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val goal' = make_goal (g (statement, using, goal, before_qed, after_qed)); |
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in State (make_node (f context, facts, mode, SOME goal'), nodes) end |
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| map_goal f g (State (nd, node :: nodes)) = |
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let val State (node', nodes') = map_goal f g (State (node, nodes)) |
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in map_context f (State (nd, node' :: nodes')) end |
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| map_goal _ _ state = state; |
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fun set_goal goal = map_goal I (fn (statement, using, _, before_qed, after_qed) => |
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(statement, using, goal, before_qed, after_qed)); |
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fun using_facts using = map_goal I (fn (statement, _, goal, before_qed, after_qed) => |
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(statement, using, goal, before_qed, after_qed)); |
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local |
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fun find i state = |
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(case try current_goal state of |
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SOME (ctxt, goal) => (ctxt, (i, goal)) |
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| NONE => find (i + 1) (close_block state handle ERROR _ => error "No goal present")); |
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in val find_goal = find 0 end; |
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fun get_goal state = |
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let val (ctxt, (_, {using, goal, ...})) = find_goal state |
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in (ctxt, (using, goal)) end; |
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fun schematic_goal state = |
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let |
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val (_, (_, {statement = (_, propss), ...})) = find_goal state; |
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val tvars = fold (fold Term.add_tvars) propss []; |
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val vars = fold (fold Term.add_vars) propss []; |
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in not (null tvars andalso null vars) end; |
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||
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(** pretty_state **) |
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val show_main_goal = ref false; |
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val verbose = ProofContext.verbose; |
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val pretty_goals_local = Display.pretty_goals_aux o ProofContext.pp; |
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fun pretty_facts _ _ NONE = [] |
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| pretty_facts s ctxt (SOME ths) = |
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[Pretty.big_list (s ^ "this:") (map (ProofContext.pretty_thm ctxt) ths), Pretty.str ""]; |
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|
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fun pretty_state nr state = |
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let |
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val {context, facts, mode, goal = _} = current state; |
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val ref (_, _, bg) = Display.current_goals_markers; |
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|
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fun levels_up 0 = "" |
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| levels_up 1 = "1 level up" |
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| levels_up i = string_of_int i ^ " levels up"; |
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fun subgoals 0 = "" |
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| subgoals 1 = "1 subgoal" |
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| subgoals n = string_of_int n ^ " subgoals"; |
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||
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fun description strs = |
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(case filter_out (equal "") strs of [] => "" |
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| strs' => enclose " (" ")" (commas strs')); |
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|
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fun prt_goal (SOME (ctxt, (i, {statement = (kind, _), using, goal, before_qed, after_qed}))) = |
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pretty_facts "using " ctxt |
348 |
(if mode <> Backward orelse null using then NONE else SOME using) @ |
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[Pretty.str ("goal" ^ description [kind, levels_up (i div 2), |
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subgoals (Thm.nprems_of goal)] ^ ":")] @ |
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pretty_goals_local ctxt bg (true, ! show_main_goal) (! Display.goals_limit) goal |
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| prt_goal NONE = []; |
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val prt_ctxt = |
355 |
if ! verbose orelse mode = Forward then ProofContext.pretty_context context |
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else if mode = Backward then ProofContext.pretty_ctxt context |
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else []; |
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in |
359 |
[Pretty.str ("proof (" ^ mode_name mode ^ "): step " ^ string_of_int nr ^ |
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(if ! verbose then ", depth " ^ string_of_int (level state div 2 - 1) else "")), |
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Pretty.str ""] @ |
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(if null prt_ctxt then [] else prt_ctxt @ [Pretty.str ""]) @ |
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(if ! verbose orelse mode = Forward then |
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pretty_facts "" context facts @ prt_goal (try find_goal state) |
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else if mode = Chain then pretty_facts "picking " context facts |
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else prt_goal (try find_goal state)) |
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367 |
end; |
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|
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fun pretty_goals main state = |
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let val (ctxt, (_, goal)) = get_goal state |
17359 | 371 |
in pretty_goals_local ctxt "" (false, main) (! Display.goals_limit) goal end; |
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||
375 |
(** proof steps **) |
|
376 |
||
17359 | 377 |
(* refine via method *) |
5820 | 378 |
|
8234 | 379 |
local |
380 |
||
16146 | 381 |
fun goalN i = "goal" ^ string_of_int i; |
382 |
fun goals st = map goalN (1 upto Thm.nprems_of st); |
|
383 |
||
384 |
fun no_goal_cases st = map (rpair NONE) (goals st); |
|
385 |
||
386 |
fun goal_cases st = |
|
18607 | 387 |
RuleCases.make_common true (Thm.theory_of_thm st, Thm.prop_of st) (map (rpair []) (goals st)); |
16146 | 388 |
|
16450 | 389 |
fun check_theory thy state = |
390 |
if subthy (thy, theory_of state) then state |
|
18678 | 391 |
else error ("Bad theory of method result: " ^ Context.str_of_thy thy); |
5820 | 392 |
|
17112 | 393 |
fun apply_method current_context meth_fun state = |
6848 | 394 |
let |
17859 | 395 |
val (goal_ctxt, (_, {statement, using, goal, before_qed, after_qed})) = find_goal state; |
17112 | 396 |
val meth = meth_fun (if current_context then context_of state else goal_ctxt); |
16146 | 397 |
in |
18228 | 398 |
Method.apply meth using goal |> Seq.map (fn (meth_cases, goal') => |
6848 | 399 |
state |
17359 | 400 |
|> check_theory (Thm.theory_of_thm goal') |
16146 | 401 |
|> map_goal |
18475 | 402 |
(ProofContext.add_cases false (no_goal_cases goal @ goal_cases goal') #> |
403 |
ProofContext.add_cases true meth_cases) |
|
17859 | 404 |
(K (statement, using, goal', before_qed, after_qed))) |
16146 | 405 |
end; |
5820 | 406 |
|
19188 | 407 |
fun select_goals n meth state = |
19224 | 408 |
state |
409 |
|> (#2 o #2 o get_goal) |
|
410 |
|> ALLGOALS Tactic.conjunction_tac |
|
411 |
|> Seq.maps (fn goal => |
|
19188 | 412 |
state |
19224 | 413 |
|> Seq.lift set_goal (Goal.extract 1 n goal |> Seq.maps (Tactic.conjunction_tac 1)) |
19188 | 414 |
|> Seq.maps meth |
415 |
|> Seq.maps (fn state' => state' |
|
416 |
|> Seq.lift set_goal (Goal.retrofit 1 n (#2 (#2 (get_goal state'))) goal)) |
|
19224 | 417 |
|> Seq.maps (apply_method true (K Method.succeed))); |
19188 | 418 |
|
17112 | 419 |
fun apply_text cc text state = |
420 |
let |
|
421 |
val thy = theory_of state; |
|
422 |
||
423 |
fun eval (Method.Basic m) = apply_method cc m |
|
424 |
| eval (Method.Source src) = apply_method cc (Method.method thy src) |
|
20031 | 425 |
| eval (Method.Source_i src) = apply_method cc (Method.method_i thy src) |
17112 | 426 |
| eval (Method.Then txts) = Seq.EVERY (map eval txts) |
427 |
| eval (Method.Orelse txts) = Seq.FIRST (map eval txts) |
|
428 |
| eval (Method.Try txt) = Seq.TRY (eval txt) |
|
19188 | 429 |
| eval (Method.Repeat1 txt) = Seq.REPEAT1 (eval txt) |
430 |
| eval (Method.SelectGoals (n, txt)) = select_goals n (eval txt); |
|
17112 | 431 |
in eval text state end; |
432 |
||
8234 | 433 |
in |
434 |
||
17112 | 435 |
val refine = apply_text true; |
436 |
val refine_end = apply_text false; |
|
8234 | 437 |
|
18908 | 438 |
fun refine_insert [] = I |
439 |
| refine_insert ths = Seq.hd o refine (Method.Basic (K (Method.insert ths))); |
|
440 |
||
8234 | 441 |
end; |
442 |
||
5820 | 443 |
|
17359 | 444 |
(* refine via sub-proof *) |
445 |
||
20208 | 446 |
fun goal_tac rule = |
18186 | 447 |
Tactic.norm_hhf_tac THEN' Tactic.rtac rule THEN_ALL_NEW |
448 |
(Tactic.norm_hhf_tac THEN' (SUBGOAL (fn (goal, i) => |
|
449 |
if can Logic.unprotect (Logic.strip_assums_concl goal) then |
|
450 |
Tactic.etac Drule.protectI i |
|
451 |
else all_tac))); |
|
11816 | 452 |
|
19915 | 453 |
fun refine_goals print_rule inner raw_rules state = |
454 |
let |
|
455 |
val (outer, (_, goal)) = get_goal state; |
|
20208 | 456 |
fun refine rule st = (print_rule outer rule; FINDGOAL (goal_tac rule) st); |
19915 | 457 |
in |
458 |
raw_rules |
|
20309 | 459 |
|> ProofContext.goal_export inner outer |
460 |
|> (fn rules => Seq.lift set_goal (EVERY (map refine rules) goal) state) |
|
19915 | 461 |
end; |
17359 | 462 |
|
6932 | 463 |
|
17359 | 464 |
(* conclude_goal *) |
6932 | 465 |
|
18503
841137f20307
goal/qed: proper treatment of two levels of conjunctions;
wenzelm
parents:
18475
diff
changeset
|
466 |
fun conclude_goal state goal propss = |
5820 | 467 |
let |
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
468 |
val thy = theory_of state; |
5820 | 469 |
val ctxt = context_of state; |
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
470 |
val string_of_term = ProofContext.string_of_term ctxt; |
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
471 |
val string_of_thm = ProofContext.string_of_thm ctxt; |
5820 | 472 |
|
17359 | 473 |
val ngoals = Thm.nprems_of goal; |
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
474 |
val _ = ngoals = 0 orelse error (Pretty.string_of (Pretty.chunks |
17359 | 475 |
(pretty_goals_local ctxt "" (true, ! show_main_goal) (! Display.goals_limit) goal @ |
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
476 |
[Pretty.str (string_of_int ngoals ^ " unsolved goal(s)!")]))); |
20224
9c40a144ee0e
moved basic assumption operations from structure ProofContext to Assumption;
wenzelm
parents:
20208
diff
changeset
|
477 |
|
9c40a144ee0e
moved basic assumption operations from structure ProofContext to Assumption;
wenzelm
parents:
20208
diff
changeset
|
478 |
val extra_hyps = Assumption.extra_hyps ctxt goal; |
9c40a144ee0e
moved basic assumption operations from structure ProofContext to Assumption;
wenzelm
parents:
20208
diff
changeset
|
479 |
val _ = null extra_hyps orelse |
9c40a144ee0e
moved basic assumption operations from structure ProofContext to Assumption;
wenzelm
parents:
20208
diff
changeset
|
480 |
error ("Additional hypotheses:\n" ^ cat_lines (map string_of_term extra_hyps)); |
5820 | 481 |
|
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
482 |
val (results, th) = `(Conjunction.elim_precise (map length propss)) (Goal.conclude goal) |
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
483 |
handle THM _ => error ("Lost goal structure:\n" ^ string_of_thm goal); |
19862 | 484 |
val _ = Unify.matches_list thy (flat propss) (map Thm.prop_of (flat results)) orelse |
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
485 |
error ("Proved a different theorem:\n" ^ string_of_thm th); |
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
486 |
in results end; |
5820 | 487 |
|
488 |
||
489 |
||
490 |
(*** structured proof commands ***) |
|
491 |
||
17112 | 492 |
(** context elements **) |
5820 | 493 |
|
17112 | 494 |
(* bindings *) |
5820 | 495 |
|
16813 | 496 |
local |
497 |
||
17359 | 498 |
fun gen_bind bind args state = |
5820 | 499 |
state |
500 |
|> assert_forward |
|
18308 | 501 |
|> map_context (bind args #> snd) |
17359 | 502 |
|> put_facts NONE; |
5820 | 503 |
|
16813 | 504 |
in |
505 |
||
8617
33e2bd53aec3
support Hindley-Milner polymorphisms in binds and facts;
wenzelm
parents:
8582
diff
changeset
|
506 |
val match_bind = gen_bind (ProofContext.match_bind false); |
33e2bd53aec3
support Hindley-Milner polymorphisms in binds and facts;
wenzelm
parents:
8582
diff
changeset
|
507 |
val match_bind_i = gen_bind (ProofContext.match_bind_i false); |
33e2bd53aec3
support Hindley-Milner polymorphisms in binds and facts;
wenzelm
parents:
8582
diff
changeset
|
508 |
val let_bind = gen_bind (ProofContext.match_bind true); |
33e2bd53aec3
support Hindley-Milner polymorphisms in binds and facts;
wenzelm
parents:
8582
diff
changeset
|
509 |
val let_bind_i = gen_bind (ProofContext.match_bind_i true); |
5820 | 510 |
|
16813 | 511 |
end; |
512 |
||
5820 | 513 |
|
17359 | 514 |
(* fix *) |
9196 | 515 |
|
12714 | 516 |
local |
517 |
||
18670 | 518 |
fun gen_fix add_fixes args = |
17359 | 519 |
assert_forward |
19846 | 520 |
#> map_context (snd o add_fixes args) |
17359 | 521 |
#> put_facts NONE; |
5820 | 522 |
|
16813 | 523 |
in |
524 |
||
18670 | 525 |
val fix = gen_fix ProofContext.add_fixes; |
526 |
val fix_i = gen_fix ProofContext.add_fixes_i; |
|
5820 | 527 |
|
16813 | 528 |
end; |
529 |
||
5820 | 530 |
|
17359 | 531 |
(* assume etc. *) |
5820 | 532 |
|
16813 | 533 |
local |
534 |
||
17112 | 535 |
fun gen_assume asm prep_att exp args state = |
5820 | 536 |
state |
537 |
|> assert_forward |
|
17112 | 538 |
|> map_context_result (asm exp (Attrib.map_specs (prep_att (theory_of state)) args)) |
17359 | 539 |
|> these_factss [] |> #2; |
6932 | 540 |
|
16813 | 541 |
in |
542 |
||
18728 | 543 |
val assm = gen_assume ProofContext.add_assms Attrib.attribute; |
18670 | 544 |
val assm_i = gen_assume ProofContext.add_assms_i (K I); |
20224
9c40a144ee0e
moved basic assumption operations from structure ProofContext to Assumption;
wenzelm
parents:
20208
diff
changeset
|
545 |
val assume = assm Assumption.assume_export; |
9c40a144ee0e
moved basic assumption operations from structure ProofContext to Assumption;
wenzelm
parents:
20208
diff
changeset
|
546 |
val assume_i = assm_i Assumption.assume_export; |
9c40a144ee0e
moved basic assumption operations from structure ProofContext to Assumption;
wenzelm
parents:
20208
diff
changeset
|
547 |
val presume = assm Assumption.presume_export; |
9c40a144ee0e
moved basic assumption operations from structure ProofContext to Assumption;
wenzelm
parents:
20208
diff
changeset
|
548 |
val presume_i = assm_i Assumption.presume_export; |
5820 | 549 |
|
16813 | 550 |
end; |
551 |
||
7271 | 552 |
|
17359 | 553 |
(* def *) |
11891 | 554 |
|
16813 | 555 |
local |
556 |
||
19846 | 557 |
fun gen_def gen_fix prep_att prep_binds args state = |
11891 | 558 |
let |
559 |
val _ = assert_forward state; |
|
17112 | 560 |
val thy = theory_of state; |
11891 | 561 |
|
19846 | 562 |
val ((raw_names, raw_atts), (vars, raw_rhss)) = |
563 |
args |> split_list |>> split_list ||> split_list; |
|
564 |
val xs = map #1 vars; |
|
18308 | 565 |
val names = map (fn ("", x) => Thm.def_name x | (name, _) => name) (raw_names ~~ xs); |
566 |
val atts = map (map (prep_att thy)) raw_atts; |
|
567 |
val (rhss, state') = state |> map_context_result (prep_binds false (map swap raw_rhss)); |
|
18826 | 568 |
val eqs = LocalDefs.mk_def (context_of state') (xs ~~ rhss); |
11891 | 569 |
in |
18308 | 570 |
state' |
19846 | 571 |
|> gen_fix (map (fn (x, mx) => (x, NONE, mx)) vars) |
19585 | 572 |
|> assm_i LocalDefs.def_export ((names ~~ atts) ~~ map (fn eq => [(eq, [])]) eqs) |
11891 | 573 |
end; |
574 |
||
16813 | 575 |
in |
576 |
||
18728 | 577 |
val def = gen_def fix Attrib.attribute ProofContext.match_bind; |
18308 | 578 |
val def_i = gen_def fix_i (K I) ProofContext.match_bind_i; |
11891 | 579 |
|
16813 | 580 |
end; |
581 |
||
11891 | 582 |
|
8374 | 583 |
|
17112 | 584 |
(** facts **) |
5820 | 585 |
|
17359 | 586 |
(* chain *) |
5820 | 587 |
|
17359 | 588 |
val chain = |
589 |
assert_forward |
|
590 |
#> tap the_facts |
|
591 |
#> enter_chain; |
|
5820 | 592 |
|
17359 | 593 |
fun chain_facts facts = |
594 |
put_facts (SOME facts) |
|
595 |
#> chain; |
|
5820 | 596 |
|
597 |
||
17359 | 598 |
(* note etc. *) |
17112 | 599 |
|
17166 | 600 |
fun no_binding args = map (pair ("", [])) args; |
17112 | 601 |
|
602 |
local |
|
603 |
||
17359 | 604 |
fun gen_thmss note_ctxt more_facts opt_chain opt_result prep_atts args state = |
17112 | 605 |
state |
606 |
|> assert_forward |
|
607 |
|> map_context_result (note_ctxt (Attrib.map_facts (prep_atts (theory_of state)) args)) |
|
608 |
|> these_factss (more_facts state) |
|
17359 | 609 |
||> opt_chain |
610 |
|> opt_result; |
|
17112 | 611 |
|
612 |
in |
|
613 |
||
18728 | 614 |
val note_thmss = gen_thmss ProofContext.note_thmss (K []) I #2 Attrib.attribute; |
17359 | 615 |
val note_thmss_i = gen_thmss ProofContext.note_thmss_i (K []) I #2 (K I); |
17112 | 616 |
|
617 |
val from_thmss = |
|
18728 | 618 |
gen_thmss ProofContext.note_thmss (K []) chain #2 Attrib.attribute o no_binding; |
17359 | 619 |
val from_thmss_i = gen_thmss ProofContext.note_thmss_i (K []) chain #2 (K I) o no_binding; |
17112 | 620 |
|
621 |
val with_thmss = |
|
18728 | 622 |
gen_thmss ProofContext.note_thmss the_facts chain #2 Attrib.attribute o no_binding; |
17359 | 623 |
val with_thmss_i = gen_thmss ProofContext.note_thmss_i the_facts chain #2 (K I) o no_binding; |
624 |
||
18808 | 625 |
val local_results = |
626 |
gen_thmss ProofContext.note_thmss_i (K []) I I (K I) o map (apsnd Thm.simple_fact); |
|
627 |
fun global_results kind = PureThy.note_thmss_i kind o map (apsnd Thm.simple_fact); |
|
17359 | 628 |
|
629 |
fun get_thmss state srcs = the_facts (note_thmss [(("", []), srcs)] state); |
|
630 |
fun simple_note_thms name thms = note_thmss_i [((name, []), [(thms, [])])]; |
|
17112 | 631 |
|
632 |
end; |
|
633 |
||
634 |
||
18548 | 635 |
(* using/unfolding *) |
17112 | 636 |
|
637 |
local |
|
638 |
||
18548 | 639 |
fun gen_using f g note prep_atts args state = |
17112 | 640 |
state |
641 |
|> assert_backward |
|
17166 | 642 |
|> map_context_result (note (Attrib.map_facts (prep_atts (theory_of state)) (no_binding args))) |
18843 | 643 |
|> (fn (named_facts, state') => |
644 |
state' |> map_goal I (fn (statement, using, goal, before_qed, after_qed) => |
|
645 |
let |
|
646 |
val ctxt = context_of state'; |
|
19482
9f11af8f7ef9
tuned basic list operators (flat, maps, map_filter);
wenzelm
parents:
19475
diff
changeset
|
647 |
val ths = maps snd named_facts; |
18843 | 648 |
in (statement, f ctxt ths using, g ctxt ths goal, before_qed, after_qed) end)); |
18548 | 649 |
|
18843 | 650 |
fun append_using _ ths using = using @ ths; |
18878 | 651 |
fun unfold_using ctxt ths = map (LocalDefs.unfold ctxt ths); |
652 |
val unfold_goals = LocalDefs.unfold_goals; |
|
17112 | 653 |
|
654 |
in |
|
655 |
||
18843 | 656 |
val using = gen_using append_using (K (K I)) ProofContext.note_thmss Attrib.attribute; |
657 |
val using_i = gen_using append_using (K (K I)) ProofContext.note_thmss_i (K I); |
|
18826 | 658 |
val unfolding = gen_using unfold_using unfold_goals ProofContext.note_thmss Attrib.attribute; |
659 |
val unfolding_i = gen_using unfold_using unfold_goals ProofContext.note_thmss_i (K I); |
|
17112 | 660 |
|
661 |
end; |
|
662 |
||
663 |
||
664 |
(* case *) |
|
665 |
||
666 |
local |
|
667 |
||
668 |
fun gen_invoke_case prep_att (name, xs, raw_atts) state = |
|
669 |
let |
|
670 |
val atts = map (prep_att (theory_of state)) raw_atts; |
|
19078 | 671 |
val (asms, state') = state |> map_context_result (fn ctxt => |
672 |
ctxt |> ProofContext.apply_case (ProofContext.get_case ctxt name xs)); |
|
19585 | 673 |
val assumptions = asms |> map (fn (a, ts) => ((a, atts), map (rpair []) ts)); |
17112 | 674 |
in |
675 |
state' |
|
17359 | 676 |
|> map_context (ProofContext.qualified_names #> ProofContext.no_base_names) |
17112 | 677 |
|> assume_i assumptions |
17976 | 678 |
|> add_binds_i AutoBind.no_facts |
17112 | 679 |
|> map_context (ProofContext.restore_naming (context_of state)) |
680 |
|> `the_facts |-> simple_note_thms name |
|
681 |
end; |
|
682 |
||
683 |
in |
|
684 |
||
18728 | 685 |
val invoke_case = gen_invoke_case Attrib.attribute; |
17112 | 686 |
val invoke_case_i = gen_invoke_case (K I); |
687 |
||
688 |
end; |
|
689 |
||
690 |
||
691 |
||
17359 | 692 |
(** proof structure **) |
693 |
||
694 |
(* blocks *) |
|
695 |
||
696 |
val begin_block = |
|
697 |
assert_forward |
|
698 |
#> open_block |
|
699 |
#> put_goal NONE |
|
700 |
#> open_block; |
|
701 |
||
702 |
val next_block = |
|
703 |
assert_forward |
|
704 |
#> close_block |
|
705 |
#> open_block |
|
706 |
#> put_goal NONE |
|
707 |
#> put_facts NONE; |
|
708 |
||
709 |
fun end_block state = |
|
710 |
state |
|
711 |
|> assert_forward |
|
712 |
|> close_block |
|
713 |
|> assert_current_goal false |
|
714 |
|> close_block |
|
715 |
|> export_facts state; |
|
716 |
||
717 |
||
718 |
(* sub-proofs *) |
|
719 |
||
720 |
fun proof opt_text = |
|
721 |
assert_backward |
|
17859 | 722 |
#> refine (the_default Method.default_text opt_text) |
17359 | 723 |
#> Seq.map (using_facts [] #> enter_forward); |
724 |
||
725 |
fun end_proof bot txt = |
|
726 |
assert_forward |
|
727 |
#> assert_bottom bot |
|
728 |
#> close_block |
|
729 |
#> assert_current_goal true |
|
730 |
#> using_facts [] |
|
17859 | 731 |
#> `before_qed #-> (refine o the_default Method.succeed_text) |
732 |
#> Seq.maps (refine (Method.finish_text txt)); |
|
17359 | 733 |
|
734 |
||
735 |
(* unstructured refinement *) |
|
736 |
||
737 |
fun defer i = assert_no_chain #> refine (Method.Basic (K (Method.defer i))); |
|
738 |
fun prefer i = assert_no_chain #> refine (Method.Basic (K (Method.prefer i))); |
|
739 |
||
740 |
fun apply text = assert_backward #> refine text #> Seq.map (using_facts []); |
|
741 |
fun apply_end text = assert_forward #> refine_end text; |
|
742 |
||
743 |
||
744 |
||
17112 | 745 |
(** goals **) |
746 |
||
17359 | 747 |
(* goal names *) |
748 |
||
749 |
fun prep_names prep_att stmt = |
|
750 |
let |
|
751 |
val (names_attss, propp) = split_list (Attrib.map_specs prep_att stmt); |
|
752 |
val (names, attss) = split_list names_attss; |
|
753 |
in ((names, attss), propp) end; |
|
5820 | 754 |
|
17359 | 755 |
fun goal_names target name names = |
17450 | 756 |
(case target of NONE => "" | SOME "" => "" | SOME loc => " (in " ^ loc ^ ")") ^ |
17359 | 757 |
(if name = "" then "" else " " ^ name) ^ |
758 |
(case filter_out (equal "") names of [] => "" |
|
759 |
| nms => " " ^ enclose "(" ")" (space_implode " and " (Library.take (7, nms) @ |
|
760 |
(if length nms > 7 then ["..."] else [])))); |
|
761 |
||
16813 | 762 |
|
17359 | 763 |
(* generic goals *) |
764 |
||
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
765 |
local |
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
766 |
|
19846 | 767 |
fun implicit_vars dest add props = |
768 |
let |
|
769 |
val (explicit_vars, props') = take_prefix (can dest) props |>> map dest; |
|
770 |
val vars = rev (subtract (op =) explicit_vars (fold add props [])); |
|
771 |
val _ = |
|
772 |
if null vars then () |
|
773 |
else warning ("Goal statement contains unbound schematic variable(s): " ^ |
|
774 |
commas_quote (map (Term.string_of_vname o fst) vars)); |
|
775 |
in (rev vars, props') end; |
|
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
776 |
|
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
777 |
fun refine_terms n = |
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
778 |
refine (Method.Basic (K (Method.RAW_METHOD |
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
779 |
(K (HEADGOAL (PRECISE_CONJUNCTS n |
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
780 |
(HEADGOAL (CONJUNCTS (ALLGOALS (rtac Drule.termI)))))))))) |
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
781 |
#> Seq.hd; |
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
782 |
|
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
783 |
in |
17359 | 784 |
|
17859 | 785 |
fun generic_goal prepp kind before_qed after_qed raw_propp state = |
5820 | 786 |
let |
17359 | 787 |
val thy = theory_of state; |
788 |
val chaining = can assert_chain state; |
|
789 |
||
790 |
val ((propss, after_ctxt), goal_state) = |
|
5936 | 791 |
state |
792 |
|> assert_forward_or_chain |
|
793 |
|> enter_forward |
|
17359 | 794 |
|> open_block |
17859 | 795 |
|> map_context_result (fn ctxt => swap (prepp (ctxt, raw_propp))); |
19482
9f11af8f7ef9
tuned basic list operators (flat, maps, map_filter);
wenzelm
parents:
19475
diff
changeset
|
796 |
val props = flat propss; |
15703 | 797 |
|
19846 | 798 |
val (_, props') = |
799 |
implicit_vars (dest_TVar o Logic.dest_type o Logic.dest_term) Term.add_tvars props; |
|
800 |
val (vars, _) = implicit_vars (dest_Var o Logic.dest_term) Term.add_vars props'; |
|
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
801 |
|
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
802 |
val propss' = map (Logic.mk_term o Var) vars :: propss; |
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
803 |
val goal = Goal.init (Thm.cterm_of thy (Logic.mk_conjunction_list2 propss')); |
18124 | 804 |
val after_qed' = after_qed |>> (fn after_local => |
805 |
fn results => map_context after_ctxt #> after_local results); |
|
5820 | 806 |
in |
17359 | 807 |
goal_state |
19900
21a99d88d925
ProofContext: moved variable operations to struct Variable;
wenzelm
parents:
19862
diff
changeset
|
808 |
|> map_context (Variable.set_body true) |
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
809 |
|> put_goal (SOME (make_goal ((kind, propss'), [], goal, before_qed, after_qed'))) |
18475 | 810 |
|> map_context (ProofContext.add_cases false (AutoBind.cases thy props)) |
17359 | 811 |
|> map_context (ProofContext.auto_bind_goal props) |
812 |
|> K chaining ? (`the_facts #-> using_facts) |
|
813 |
|> put_facts NONE |
|
814 |
|> open_block |
|
815 |
|> put_goal NONE |
|
5820 | 816 |
|> enter_backward |
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
817 |
|> K (not (null vars)) ? refine_terms (length propss') |
17450 | 818 |
|> K (null props) ? (refine (Method.Basic Method.assumption) #> Seq.hd) |
5820 | 819 |
end; |
820 |
||
17359 | 821 |
fun generic_qed state = |
12503 | 822 |
let |
18548 | 823 |
val (goal_ctxt, {statement = (_, stmt), using = _, goal, before_qed = _, after_qed}) = |
17859 | 824 |
current_goal state; |
8617
33e2bd53aec3
support Hindley-Milner polymorphisms in binds and facts;
wenzelm
parents:
8582
diff
changeset
|
825 |
val outer_state = state |> close_block; |
33e2bd53aec3
support Hindley-Milner polymorphisms in binds and facts;
wenzelm
parents:
8582
diff
changeset
|
826 |
val outer_ctxt = context_of outer_state; |
33e2bd53aec3
support Hindley-Milner polymorphisms in binds and facts;
wenzelm
parents:
8582
diff
changeset
|
827 |
|
18503
841137f20307
goal/qed: proper treatment of two levels of conjunctions;
wenzelm
parents:
18475
diff
changeset
|
828 |
val props = |
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
829 |
flat (tl stmt) |
19915 | 830 |
|> Variable.exportT_terms goal_ctxt outer_ctxt; |
17359 | 831 |
val results = |
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
832 |
tl (conclude_goal state goal stmt) |
20309 | 833 |
|> burrow (ProofContext.export goal_ctxt outer_ctxt); |
17359 | 834 |
in |
835 |
outer_state |
|
836 |
|> map_context (ProofContext.auto_bind_facts props) |
|
18124 | 837 |
|> pair (after_qed, results) |
17359 | 838 |
end; |
839 |
||
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
840 |
end; |
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
841 |
|
9469 | 842 |
|
17359 | 843 |
(* local goals *) |
844 |
||
17859 | 845 |
fun local_goal print_results prep_att prepp kind before_qed after_qed stmt state = |
17359 | 846 |
let |
847 |
val ((names, attss), propp) = prep_names (prep_att (theory_of state)) stmt; |
|
848 |
||
18124 | 849 |
fun after_qed' results = |
18808 | 850 |
local_results ((names ~~ attss) ~~ results) |
17359 | 851 |
#-> (fn res => tap (fn st => print_results (context_of st) ((kind, ""), res) : unit)) |
18124 | 852 |
#> after_qed results; |
5820 | 853 |
in |
17359 | 854 |
state |
18124 | 855 |
|> generic_goal prepp (kind ^ goal_names NONE "" names) before_qed (after_qed', K I) propp |
19900
21a99d88d925
ProofContext: moved variable operations to struct Variable;
wenzelm
parents:
19862
diff
changeset
|
856 |
|> tap (Variable.warn_extra_tfrees (context_of state) o context_of) |
5820 | 857 |
end; |
858 |
||
17359 | 859 |
fun local_qed txt = |
20309 | 860 |
end_proof false txt #> |
861 |
Seq.maps (generic_qed #-> (fn ((after_qed, _), results) => after_qed results)); |
|
5820 | 862 |
|
863 |
||
17359 | 864 |
(* global goals *) |
865 |
||
866 |
fun global_goal print_results prep_att prepp |
|
17859 | 867 |
kind before_qed after_qed target (name, raw_atts) stmt ctxt = |
17359 | 868 |
let |
869 |
val thy = ProofContext.theory_of ctxt; |
|
870 |
val thy_ctxt = ProofContext.init thy; |
|
871 |
||
872 |
val atts = map (prep_att thy) raw_atts; |
|
873 |
val ((names, attss), propp) = prep_names (prep_att thy) stmt; |
|
874 |
||
17450 | 875 |
fun store_results prfx res = |
876 |
K (prfx <> "") ? (Sign.add_path prfx #> Sign.no_base_names) |
|
877 |
#> global_results kind ((names ~~ attss) ~~ res) |
|
17359 | 878 |
#-> (fn res' => |
879 |
(print_results thy_ctxt ((kind, name), res') : unit; |
|
19482
9f11af8f7ef9
tuned basic list operators (flat, maps, map_filter);
wenzelm
parents:
19475
diff
changeset
|
880 |
#2 o global_results kind [((name, atts), maps #2 res')])) |
17450 | 881 |
#> Sign.restore_naming thy; |
17359 | 882 |
|
18124 | 883 |
fun after_qed' results = |
17450 | 884 |
(case target of NONE => I |
885 |
| SOME prfx => store_results (NameSpace.base prfx) |
|
19915 | 886 |
(map (ProofContext.export_standard ctxt thy_ctxt |
887 |
#> map Drule.strip_shyps_warning) results)) |
|
18124 | 888 |
#> after_qed results; |
17359 | 889 |
in |
890 |
init ctxt |
|
18670 | 891 |
|> generic_goal (prepp #> ProofContext.auto_fixes) (kind ^ goal_names target name names) |
18124 | 892 |
before_qed (K Seq.single, after_qed') propp |
17359 | 893 |
end; |
12065 | 894 |
|
18678 | 895 |
fun check_result msg sq = |
17112 | 896 |
(case Seq.pull sq of |
18678 | 897 |
NONE => error msg |
19475 | 898 |
| SOME (s', sq') => Seq.cons s' sq'); |
17112 | 899 |
|
17359 | 900 |
fun global_qeds txt = |
901 |
end_proof true txt |
|
20309 | 902 |
#> Seq.map (generic_qed #> (fn (((_, after_qed), results), state) => |
903 |
after_qed results (theory_of state) |
|
904 |
|> (fn thy => (ProofContext.transfer thy (context_of state), thy)))) |
|
17112 | 905 |
|> Seq.DETERM; (*backtracking may destroy theory!*) |
906 |
||
18678 | 907 |
fun global_qed txt = |
908 |
global_qeds txt |
|
909 |
#> check_result "Failed to finish proof" |
|
910 |
#> Seq.hd; |
|
12959 | 911 |
|
5820 | 912 |
|
17359 | 913 |
(* concluding steps *) |
17112 | 914 |
|
17359 | 915 |
fun local_terminal_proof (text, opt_text) = |
916 |
proof (SOME text) #> Seq.maps (local_qed (opt_text, true)); |
|
17112 | 917 |
|
918 |
val local_default_proof = local_terminal_proof (Method.default_text, NONE); |
|
919 |
val local_immediate_proof = local_terminal_proof (Method.this_text, NONE); |
|
17359 | 920 |
val local_done_proof = proof (SOME Method.done_text) #> Seq.maps (local_qed (NONE, false)); |
921 |
fun local_skip_proof int = local_terminal_proof (Method.sorry_text int, NONE); |
|
17112 | 922 |
|
18678 | 923 |
fun global_term_proof immed (text, opt_text) = |
924 |
proof (SOME text) |
|
925 |
#> check_result "Terminal proof method failed" |
|
926 |
#> Seq.maps (global_qeds (opt_text, immed)) |
|
927 |
#> check_result "Failed to finish proof (after successful terminal method)" |
|
928 |
#> Seq.hd; |
|
17112 | 929 |
|
930 |
val global_terminal_proof = global_term_proof true; |
|
931 |
val global_default_proof = global_terminal_proof (Method.default_text, NONE); |
|
932 |
val global_immediate_proof = global_terminal_proof (Method.this_text, NONE); |
|
933 |
val global_done_proof = global_term_proof false (Method.done_text, NONE); |
|
17359 | 934 |
fun global_skip_proof int = global_terminal_proof (Method.sorry_text int, NONE); |
5820 | 935 |
|
6896 | 936 |
|
17359 | 937 |
(* common goal statements *) |
938 |
||
939 |
local |
|
940 |
||
17859 | 941 |
fun gen_have prep_att prepp before_qed after_qed stmt int = |
942 |
local_goal (ProofDisplay.print_results int) prep_att prepp "have" before_qed after_qed stmt; |
|
6896 | 943 |
|
17859 | 944 |
fun gen_show prep_att prepp before_qed after_qed stmt int state = |
17359 | 945 |
let |
946 |
val testing = ref false; |
|
947 |
val rule = ref (NONE: thm option); |
|
948 |
fun fail_msg ctxt = |
|
949 |
"Local statement will fail to solve any pending goal" :: |
|
950 |
(case ! rule of NONE => [] | SOME th => [ProofDisplay.string_of_rule ctxt "Failed" th]) |
|
951 |
|> cat_lines; |
|
6896 | 952 |
|
17359 | 953 |
fun print_results ctxt res = |
954 |
if ! testing then () else ProofDisplay.print_results int ctxt res; |
|
955 |
fun print_rule ctxt th = |
|
956 |
if ! testing then rule := SOME th |
|
957 |
else if int then priority (ProofDisplay.string_of_rule ctxt "Successful" th) |
|
958 |
else (); |
|
959 |
val test_proof = |
|
960 |
(Seq.pull oo local_skip_proof) true |
|
961 |
|> setmp testing true |
|
962 |
|> setmp proofs 0 |
|
963 |
|> capture; |
|
6896 | 964 |
|
18124 | 965 |
fun after_qed' results = |
19482
9f11af8f7ef9
tuned basic list operators (flat, maps, map_filter);
wenzelm
parents:
19475
diff
changeset
|
966 |
refine_goals print_rule (context_of state) (flat results) |
18124 | 967 |
#> Seq.maps (after_qed results); |
17359 | 968 |
in |
969 |
state |
|
17859 | 970 |
|> local_goal print_results prep_att prepp "show" before_qed after_qed' stmt |
17359 | 971 |
|> K int ? (fn goal_state => |
972 |
(case test_proof goal_state of |
|
973 |
Result (SOME _) => goal_state |
|
18678 | 974 |
| Result NONE => error (fail_msg (context_of goal_state)) |
17359 | 975 |
| Exn Interrupt => raise Interrupt |
976 |
| Exn exn => raise EXCEPTION (exn, fail_msg (context_of goal_state)))) |
|
977 |
end; |
|
978 |
||
17859 | 979 |
fun gen_theorem prep_att prepp kind before_qed after_qed target a = |
980 |
global_goal ProofDisplay.present_results prep_att prepp kind before_qed after_qed target a; |
|
17359 | 981 |
|
982 |
in |
|
983 |
||
18728 | 984 |
val have = gen_have Attrib.attribute ProofContext.bind_propp; |
17359 | 985 |
val have_i = gen_have (K I) ProofContext.bind_propp_i; |
18728 | 986 |
val show = gen_show Attrib.attribute ProofContext.bind_propp; |
17359 | 987 |
val show_i = gen_show (K I) ProofContext.bind_propp_i; |
18728 | 988 |
val theorem = gen_theorem Attrib.attribute ProofContext.bind_propp_schematic; |
17359 | 989 |
val theorem_i = gen_theorem (K I) ProofContext.bind_propp_schematic_i; |
6896 | 990 |
|
5820 | 991 |
end; |
17359 | 992 |
|
993 |
end; |