author | wenzelm |
Tue, 14 Nov 2006 15:29:56 +0100 | |
changeset 21362 | 3a2ab1dce297 |
parent 21274 | 3340d0fcecd1 |
child 21442 | 56e54a2afe69 |
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 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 theorem: string -> 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: string -> 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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((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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end; |
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structure Proof: PROOF = |
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struct |
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type context = Context.proof; |
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type method = Method.method; |
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(** proof state **) |
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(* datatype state *) |
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datatype mode = Forward | Chain | Backward; |
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datatype state = |
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State of node Stack.T |
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and node = |
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Node of |
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{context: context, |
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facts: thm list option, |
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mode: mode, |
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goal: goal option} |
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and goal = |
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Goal of |
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{statement: string * term list list, (*goal kind and statement, starting with vars*) |
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using: thm list, (*goal facts*) |
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goal: thm, (*subgoals ==> statement*) |
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before_qed: Method.text option, |
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after_qed: |
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(thm list list -> state -> state Seq.seq) * |
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(thm list list -> context -> context)}; |
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fun make_goal (statement, using, goal, before_qed, after_qed) = |
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Goal {statement = statement, using = using, goal = goal, |
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before_qed = before_qed, after_qed = after_qed}; |
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fun make_node (context, facts, mode, goal) = |
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Node {context = context, facts = facts, mode = mode, goal = goal}; |
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fun map_node f (Node {context, facts, mode, goal}) = |
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make_node (f (context, facts, mode, goal)); |
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fun init ctxt = State (Stack.init (make_node (ctxt, NONE, Forward, NONE))); |
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fun current (State st) = Stack.top st |> (fn Node node => node); |
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fun map_current f (State st) = State (Stack.map_top (map_node f) st); |
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(** basic proof state operations **) |
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(* block structure *) |
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fun open_block (State st) = State (Stack.push st); |
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fun close_block (State st) = State (Stack.pop st) |
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handle Empty => error "Unbalanced block parentheses"; |
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fun level (State st) = Stack.level st; |
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fun assert_bottom b state = |
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let val b' = (level state <= 2) in |
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if b andalso not b' then error "Not at bottom of proof!" |
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else if not b andalso b' then error "Already at bottom of proof!" |
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else state |
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end; |
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(* context *) |
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val context_of = #context o current; |
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val theory_of = ProofContext.theory_of o context_of; |
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fun map_context f = |
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map_current (fn (ctxt, facts, mode, goal) => (f ctxt, facts, mode, goal)); |
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fun map_context_result f state = |
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f (context_of state) ||> (fn ctxt => map_context (K ctxt) state); |
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val add_binds_i = map_context o ProofContext.add_binds_i; |
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val put_thms = map_context oo ProofContext.put_thms; |
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val put_thms_internal = map_context o ProofContext.put_thms_internal; |
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(* facts *) |
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val get_facts = #facts o current; |
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fun the_facts state = |
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(case get_facts state of SOME facts => facts |
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| NONE => error "No current facts available"); |
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fun the_fact state = |
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(case the_facts state of [thm] => thm |
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| _ => error "Single theorem expected"); |
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fun put_facts facts = |
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map_current (fn (ctxt, _, mode, goal) => (ctxt, facts, mode, goal)) #> |
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put_thms_internal (AutoBind.thisN, facts); |
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fun these_factss more_facts (named_factss, state) = |
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(named_factss, state |> put_facts (SOME (maps snd named_factss @ more_facts))); |
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fun export_facts inner outer = |
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(case get_facts inner of |
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NONE => put_facts NONE outer |
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| SOME thms => |
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thms |
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|> ProofContext.export (context_of inner) (context_of outer) |
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|> (fn ths => put_facts (SOME ths) outer)); |
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(* mode *) |
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val get_mode = #mode o current; |
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fun put_mode mode = map_current (fn (ctxt, facts, _, goal) => (ctxt, facts, mode, goal)); |
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val mode_name = (fn Forward => "state" | Chain => "chain" | Backward => "prove"); |
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fun assert_mode pred state = |
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let val mode = get_mode state in |
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if pred mode then state |
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else error ("Illegal application of proof command in " ^ quote (mode_name mode) ^ " mode") |
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end; |
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val assert_forward = assert_mode (fn mode => mode = Forward); |
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val assert_chain = assert_mode (fn mode => mode = Chain); |
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val assert_forward_or_chain = assert_mode (fn mode => mode = Forward orelse mode = Chain); |
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val assert_backward = assert_mode (fn mode => mode = Backward); |
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val assert_no_chain = assert_mode (fn mode => mode <> Chain); |
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val enter_forward = put_mode Forward; |
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val enter_chain = put_mode Chain; |
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val enter_backward = put_mode Backward; |
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(* current goal *) |
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fun current_goal state = |
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(case current state of |
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{context, goal = SOME (Goal goal), ...} => (context, goal) |
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| _ => error "No current goal!"); |
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fun assert_current_goal g state = |
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let val g' = can current_goal state in |
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if g andalso not g' then error "No goal in this block!" |
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else if not g andalso g' then error "Goal present in this block!" |
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else state |
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end; |
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fun put_goal goal = map_current (fn (ctxt, using, mode, _) => (ctxt, using, mode, goal)); |
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val before_qed = #before_qed o #2 o current_goal; |
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(* nested goal *) |
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fun map_goal f g (State (Node {context, facts, mode, goal = SOME goal}, nodes)) = |
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let |
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val Goal {statement, using, goal, before_qed, after_qed} = goal; |
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val goal' = make_goal (g (statement, using, goal, before_qed, after_qed)); |
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in State (make_node (f context, facts, mode, SOME goal'), nodes) end |
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| map_goal f g (State (nd, node :: nodes)) = |
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let val State (node', nodes') = map_goal f g (State (node, nodes)) |
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in map_context f (State (nd, node' :: nodes')) end |
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| map_goal _ _ state = state; |
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fun set_goal goal = map_goal I (fn (statement, using, _, before_qed, after_qed) => |
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(statement, using, goal, before_qed, after_qed)); |
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fun using_facts using = map_goal I (fn (statement, _, goal, before_qed, after_qed) => |
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(statement, using, goal, before_qed, after_qed)); |
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local |
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fun find i state = |
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(case try current_goal state of |
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SOME (ctxt, goal) => (ctxt, (i, goal)) |
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| NONE => find (i + 1) (close_block state handle ERROR _ => error "No goal present")); |
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in val find_goal = find 0 end; |
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fun get_goal state = |
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let val (ctxt, (_, {using, goal, ...})) = find_goal state |
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in (ctxt, (using, goal)) end; |
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fun schematic_goal state = |
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let val (_, (_, {statement = (_, propss), ...})) = find_goal state in |
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exists (exists (Term.exists_subterm Term.is_Var)) propss orelse |
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exists (exists (Term.exists_type (Term.exists_subtype Term.is_TVar))) propss |
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end; |
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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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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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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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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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fun prt_goal (SOME (ctxt, (i, {statement = (kind, _), using, goal, before_qed, after_qed}))) = |
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pretty_facts "using " ctxt |
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(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), |
|
341 |
subgoals (Thm.nprems_of goal)] ^ ":")] @ |
|
342 |
pretty_goals_local ctxt bg (true, ! show_main_goal) (! Display.goals_limit) goal |
|
343 |
| prt_goal NONE = []; |
|
6848 | 344 |
|
17359 | 345 |
val prt_ctxt = |
346 |
if ! verbose orelse mode = Forward then ProofContext.pretty_context context |
|
18670 | 347 |
else if mode = Backward then ProofContext.pretty_ctxt context |
7575 | 348 |
else []; |
17359 | 349 |
in |
350 |
[Pretty.str ("proof (" ^ mode_name mode ^ "): step " ^ string_of_int nr ^ |
|
351 |
(if ! verbose then ", depth " ^ string_of_int (level state div 2 - 1) else "")), |
|
352 |
Pretty.str ""] @ |
|
353 |
(if null prt_ctxt then [] else prt_ctxt @ [Pretty.str ""]) @ |
|
354 |
(if ! verbose orelse mode = Forward then |
|
355 |
pretty_facts "" context facts @ prt_goal (try find_goal state) |
|
356 |
else if mode = Chain then pretty_facts "picking " context facts |
|
357 |
else prt_goal (try find_goal state)) |
|
358 |
end; |
|
5820 | 359 |
|
12085 | 360 |
fun pretty_goals main state = |
19188 | 361 |
let val (ctxt, (_, goal)) = get_goal state |
17359 | 362 |
in pretty_goals_local ctxt "" (false, main) (! Display.goals_limit) goal end; |
10320 | 363 |
|
5820 | 364 |
|
365 |
||
366 |
(** proof steps **) |
|
367 |
||
17359 | 368 |
(* refine via method *) |
5820 | 369 |
|
8234 | 370 |
local |
371 |
||
16146 | 372 |
fun goalN i = "goal" ^ string_of_int i; |
373 |
fun goals st = map goalN (1 upto Thm.nprems_of st); |
|
374 |
||
375 |
fun no_goal_cases st = map (rpair NONE) (goals st); |
|
376 |
||
377 |
fun goal_cases st = |
|
18607 | 378 |
RuleCases.make_common true (Thm.theory_of_thm st, Thm.prop_of st) (map (rpair []) (goals st)); |
16146 | 379 |
|
17112 | 380 |
fun apply_method current_context meth_fun state = |
6848 | 381 |
let |
17859 | 382 |
val (goal_ctxt, (_, {statement, using, goal, before_qed, after_qed})) = find_goal state; |
17112 | 383 |
val meth = meth_fun (if current_context then context_of state else goal_ctxt); |
16146 | 384 |
in |
18228 | 385 |
Method.apply meth using goal |> Seq.map (fn (meth_cases, goal') => |
6848 | 386 |
state |
16146 | 387 |
|> map_goal |
18475 | 388 |
(ProofContext.add_cases false (no_goal_cases goal @ goal_cases goal') #> |
389 |
ProofContext.add_cases true meth_cases) |
|
17859 | 390 |
(K (statement, using, goal', before_qed, after_qed))) |
16146 | 391 |
end; |
5820 | 392 |
|
19188 | 393 |
fun select_goals n meth state = |
19224 | 394 |
state |
395 |
|> (#2 o #2 o get_goal) |
|
396 |
|> ALLGOALS Tactic.conjunction_tac |
|
397 |
|> Seq.maps (fn goal => |
|
19188 | 398 |
state |
19224 | 399 |
|> Seq.lift set_goal (Goal.extract 1 n goal |> Seq.maps (Tactic.conjunction_tac 1)) |
19188 | 400 |
|> Seq.maps meth |
401 |
|> Seq.maps (fn state' => state' |
|
402 |
|> Seq.lift set_goal (Goal.retrofit 1 n (#2 (#2 (get_goal state'))) goal)) |
|
19224 | 403 |
|> Seq.maps (apply_method true (K Method.succeed))); |
19188 | 404 |
|
17112 | 405 |
fun apply_text cc text state = |
406 |
let |
|
407 |
val thy = theory_of state; |
|
408 |
||
409 |
fun eval (Method.Basic m) = apply_method cc m |
|
410 |
| eval (Method.Source src) = apply_method cc (Method.method thy src) |
|
20031 | 411 |
| eval (Method.Source_i src) = apply_method cc (Method.method_i thy src) |
17112 | 412 |
| eval (Method.Then txts) = Seq.EVERY (map eval txts) |
413 |
| eval (Method.Orelse txts) = Seq.FIRST (map eval txts) |
|
414 |
| eval (Method.Try txt) = Seq.TRY (eval txt) |
|
19188 | 415 |
| eval (Method.Repeat1 txt) = Seq.REPEAT1 (eval txt) |
416 |
| eval (Method.SelectGoals (n, txt)) = select_goals n (eval txt); |
|
17112 | 417 |
in eval text state end; |
418 |
||
8234 | 419 |
in |
420 |
||
17112 | 421 |
val refine = apply_text true; |
422 |
val refine_end = apply_text false; |
|
8234 | 423 |
|
18908 | 424 |
fun refine_insert [] = I |
425 |
| refine_insert ths = Seq.hd o refine (Method.Basic (K (Method.insert ths))); |
|
426 |
||
8234 | 427 |
end; |
428 |
||
5820 | 429 |
|
17359 | 430 |
(* refine via sub-proof *) |
431 |
||
20208 | 432 |
fun goal_tac rule = |
18186 | 433 |
Tactic.norm_hhf_tac THEN' Tactic.rtac rule THEN_ALL_NEW |
434 |
(Tactic.norm_hhf_tac THEN' (SUBGOAL (fn (goal, i) => |
|
435 |
if can Logic.unprotect (Logic.strip_assums_concl goal) then |
|
436 |
Tactic.etac Drule.protectI i |
|
437 |
else all_tac))); |
|
11816 | 438 |
|
19915 | 439 |
fun refine_goals print_rule inner raw_rules state = |
440 |
let |
|
441 |
val (outer, (_, goal)) = get_goal state; |
|
20208 | 442 |
fun refine rule st = (print_rule outer rule; FINDGOAL (goal_tac rule) st); |
19915 | 443 |
in |
444 |
raw_rules |
|
20309 | 445 |
|> ProofContext.goal_export inner outer |
446 |
|> (fn rules => Seq.lift set_goal (EVERY (map refine rules) goal) state) |
|
19915 | 447 |
end; |
17359 | 448 |
|
6932 | 449 |
|
17359 | 450 |
(* conclude_goal *) |
6932 | 451 |
|
18503
841137f20307
goal/qed: proper treatment of two levels of conjunctions;
wenzelm
parents:
18475
diff
changeset
|
452 |
fun conclude_goal state goal propss = |
5820 | 453 |
let |
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
454 |
val thy = theory_of state; |
5820 | 455 |
val ctxt = context_of state; |
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
456 |
val string_of_term = ProofContext.string_of_term ctxt; |
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
457 |
val string_of_thm = ProofContext.string_of_thm ctxt; |
5820 | 458 |
|
17359 | 459 |
val ngoals = Thm.nprems_of goal; |
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
460 |
val _ = ngoals = 0 orelse error (Pretty.string_of (Pretty.chunks |
17359 | 461 |
(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
|
462 |
[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
|
463 |
|
9c40a144ee0e
moved basic assumption operations from structure ProofContext to Assumption;
wenzelm
parents:
20208
diff
changeset
|
464 |
val extra_hyps = Assumption.extra_hyps ctxt goal; |
9c40a144ee0e
moved basic assumption operations from structure ProofContext to Assumption;
wenzelm
parents:
20208
diff
changeset
|
465 |
val _ = null extra_hyps orelse |
9c40a144ee0e
moved basic assumption operations from structure ProofContext to Assumption;
wenzelm
parents:
20208
diff
changeset
|
466 |
error ("Additional hypotheses:\n" ^ cat_lines (map string_of_term extra_hyps)); |
5820 | 467 |
|
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
468 |
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
|
469 |
handle THM _ => error ("Lost goal structure:\n" ^ string_of_thm goal); |
19862 | 470 |
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
|
471 |
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
|
472 |
in results end; |
5820 | 473 |
|
474 |
||
475 |
||
476 |
(*** structured proof commands ***) |
|
477 |
||
17112 | 478 |
(** context elements **) |
5820 | 479 |
|
17112 | 480 |
(* bindings *) |
5820 | 481 |
|
16813 | 482 |
local |
483 |
||
17359 | 484 |
fun gen_bind bind args state = |
5820 | 485 |
state |
486 |
|> assert_forward |
|
18308 | 487 |
|> map_context (bind args #> snd) |
17359 | 488 |
|> put_facts NONE; |
5820 | 489 |
|
16813 | 490 |
in |
491 |
||
8617
33e2bd53aec3
support Hindley-Milner polymorphisms in binds and facts;
wenzelm
parents:
8582
diff
changeset
|
492 |
val match_bind = gen_bind (ProofContext.match_bind false); |
33e2bd53aec3
support Hindley-Milner polymorphisms in binds and facts;
wenzelm
parents:
8582
diff
changeset
|
493 |
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
|
494 |
val let_bind = gen_bind (ProofContext.match_bind true); |
33e2bd53aec3
support Hindley-Milner polymorphisms in binds and facts;
wenzelm
parents:
8582
diff
changeset
|
495 |
val let_bind_i = gen_bind (ProofContext.match_bind_i true); |
5820 | 496 |
|
16813 | 497 |
end; |
498 |
||
5820 | 499 |
|
17359 | 500 |
(* fix *) |
9196 | 501 |
|
12714 | 502 |
local |
503 |
||
18670 | 504 |
fun gen_fix add_fixes args = |
17359 | 505 |
assert_forward |
19846 | 506 |
#> map_context (snd o add_fixes args) |
17359 | 507 |
#> put_facts NONE; |
5820 | 508 |
|
16813 | 509 |
in |
510 |
||
18670 | 511 |
val fix = gen_fix ProofContext.add_fixes; |
512 |
val fix_i = gen_fix ProofContext.add_fixes_i; |
|
5820 | 513 |
|
16813 | 514 |
end; |
515 |
||
5820 | 516 |
|
17359 | 517 |
(* assume etc. *) |
5820 | 518 |
|
16813 | 519 |
local |
520 |
||
17112 | 521 |
fun gen_assume asm prep_att exp args state = |
5820 | 522 |
state |
523 |
|> assert_forward |
|
17112 | 524 |
|> map_context_result (asm exp (Attrib.map_specs (prep_att (theory_of state)) args)) |
17359 | 525 |
|> these_factss [] |> #2; |
6932 | 526 |
|
16813 | 527 |
in |
528 |
||
18728 | 529 |
val assm = gen_assume ProofContext.add_assms Attrib.attribute; |
18670 | 530 |
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
|
531 |
val assume = assm Assumption.assume_export; |
9c40a144ee0e
moved basic assumption operations from structure ProofContext to Assumption;
wenzelm
parents:
20208
diff
changeset
|
532 |
val assume_i = assm_i Assumption.assume_export; |
9c40a144ee0e
moved basic assumption operations from structure ProofContext to Assumption;
wenzelm
parents:
20208
diff
changeset
|
533 |
val presume = assm Assumption.presume_export; |
9c40a144ee0e
moved basic assumption operations from structure ProofContext to Assumption;
wenzelm
parents:
20208
diff
changeset
|
534 |
val presume_i = assm_i Assumption.presume_export; |
5820 | 535 |
|
16813 | 536 |
end; |
537 |
||
7271 | 538 |
|
17359 | 539 |
(* def *) |
11891 | 540 |
|
16813 | 541 |
local |
542 |
||
20913 | 543 |
fun gen_def prep_att prep_vars prep_binds args state = |
11891 | 544 |
let |
545 |
val _ = assert_forward state; |
|
17112 | 546 |
val thy = theory_of state; |
20913 | 547 |
val ctxt = context_of state; |
11891 | 548 |
|
20913 | 549 |
val (raw_name_atts, (raw_vars, raw_rhss)) = args |> split_list ||> split_list; |
550 |
val name_atts = map (apsnd (map (prep_att thy))) raw_name_atts; |
|
11891 | 551 |
in |
20913 | 552 |
state |
553 |
|> map_context_result (prep_vars (map (fn (x, mx) => (x, NONE, mx)) raw_vars)) |
|
554 |
|>> map (fn (x, _, mx) => (x, mx)) |
|
555 |
|-> (fn vars => |
|
556 |
map_context_result (prep_binds false (map swap raw_rhss)) |
|
557 |
#-> (fn rhss => map_context_result (LocalDefs.add_defs (vars ~~ (name_atts ~~ rhss))))) |
|
558 |
|-> (put_facts o SOME o map (#2 o #2)) |
|
11891 | 559 |
end; |
560 |
||
16813 | 561 |
in |
562 |
||
20913 | 563 |
val def = gen_def Attrib.attribute ProofContext.read_vars ProofContext.match_bind; |
564 |
val def_i = gen_def (K I) ProofContext.cert_vars ProofContext.match_bind_i; |
|
11891 | 565 |
|
16813 | 566 |
end; |
567 |
||
11891 | 568 |
|
8374 | 569 |
|
17112 | 570 |
(** facts **) |
5820 | 571 |
|
17359 | 572 |
(* chain *) |
5820 | 573 |
|
17359 | 574 |
val chain = |
575 |
assert_forward |
|
576 |
#> tap the_facts |
|
577 |
#> enter_chain; |
|
5820 | 578 |
|
17359 | 579 |
fun chain_facts facts = |
580 |
put_facts (SOME facts) |
|
581 |
#> chain; |
|
5820 | 582 |
|
583 |
||
17359 | 584 |
(* note etc. *) |
17112 | 585 |
|
17166 | 586 |
fun no_binding args = map (pair ("", [])) args; |
17112 | 587 |
|
588 |
local |
|
589 |
||
17359 | 590 |
fun gen_thmss note_ctxt more_facts opt_chain opt_result prep_atts args state = |
17112 | 591 |
state |
592 |
|> assert_forward |
|
593 |
|> map_context_result (note_ctxt (Attrib.map_facts (prep_atts (theory_of state)) args)) |
|
594 |
|> these_factss (more_facts state) |
|
17359 | 595 |
||> opt_chain |
596 |
|> opt_result; |
|
17112 | 597 |
|
598 |
in |
|
599 |
||
18728 | 600 |
val note_thmss = gen_thmss ProofContext.note_thmss (K []) I #2 Attrib.attribute; |
17359 | 601 |
val note_thmss_i = gen_thmss ProofContext.note_thmss_i (K []) I #2 (K I); |
17112 | 602 |
|
603 |
val from_thmss = |
|
18728 | 604 |
gen_thmss ProofContext.note_thmss (K []) chain #2 Attrib.attribute o no_binding; |
17359 | 605 |
val from_thmss_i = gen_thmss ProofContext.note_thmss_i (K []) chain #2 (K I) o no_binding; |
17112 | 606 |
|
607 |
val with_thmss = |
|
18728 | 608 |
gen_thmss ProofContext.note_thmss the_facts chain #2 Attrib.attribute o no_binding; |
17359 | 609 |
val with_thmss_i = gen_thmss ProofContext.note_thmss_i the_facts chain #2 (K I) o no_binding; |
610 |
||
18808 | 611 |
val local_results = |
612 |
gen_thmss ProofContext.note_thmss_i (K []) I I (K I) o map (apsnd Thm.simple_fact); |
|
17359 | 613 |
|
614 |
fun get_thmss state srcs = the_facts (note_thmss [(("", []), srcs)] state); |
|
615 |
fun simple_note_thms name thms = note_thmss_i [((name, []), [(thms, [])])]; |
|
17112 | 616 |
|
617 |
end; |
|
618 |
||
619 |
||
18548 | 620 |
(* using/unfolding *) |
17112 | 621 |
|
622 |
local |
|
623 |
||
18548 | 624 |
fun gen_using f g note prep_atts args state = |
17112 | 625 |
state |
626 |
|> assert_backward |
|
17166 | 627 |
|> map_context_result (note (Attrib.map_facts (prep_atts (theory_of state)) (no_binding args))) |
18843 | 628 |
|> (fn (named_facts, state') => |
629 |
state' |> map_goal I (fn (statement, using, goal, before_qed, after_qed) => |
|
630 |
let |
|
631 |
val ctxt = context_of state'; |
|
19482
9f11af8f7ef9
tuned basic list operators (flat, maps, map_filter);
wenzelm
parents:
19475
diff
changeset
|
632 |
val ths = maps snd named_facts; |
18843 | 633 |
in (statement, f ctxt ths using, g ctxt ths goal, before_qed, after_qed) end)); |
18548 | 634 |
|
18843 | 635 |
fun append_using _ ths using = using @ ths; |
18878 | 636 |
fun unfold_using ctxt ths = map (LocalDefs.unfold ctxt ths); |
637 |
val unfold_goals = LocalDefs.unfold_goals; |
|
17112 | 638 |
|
639 |
in |
|
640 |
||
18843 | 641 |
val using = gen_using append_using (K (K I)) ProofContext.note_thmss Attrib.attribute; |
642 |
val using_i = gen_using append_using (K (K I)) ProofContext.note_thmss_i (K I); |
|
18826 | 643 |
val unfolding = gen_using unfold_using unfold_goals ProofContext.note_thmss Attrib.attribute; |
644 |
val unfolding_i = gen_using unfold_using unfold_goals ProofContext.note_thmss_i (K I); |
|
17112 | 645 |
|
646 |
end; |
|
647 |
||
648 |
||
649 |
(* case *) |
|
650 |
||
651 |
local |
|
652 |
||
653 |
fun gen_invoke_case prep_att (name, xs, raw_atts) state = |
|
654 |
let |
|
655 |
val atts = map (prep_att (theory_of state)) raw_atts; |
|
19078 | 656 |
val (asms, state') = state |> map_context_result (fn ctxt => |
657 |
ctxt |> ProofContext.apply_case (ProofContext.get_case ctxt name xs)); |
|
19585 | 658 |
val assumptions = asms |> map (fn (a, ts) => ((a, atts), map (rpair []) ts)); |
17112 | 659 |
in |
660 |
state' |
|
17359 | 661 |
|> map_context (ProofContext.qualified_names #> ProofContext.no_base_names) |
17112 | 662 |
|> assume_i assumptions |
17976 | 663 |
|> add_binds_i AutoBind.no_facts |
17112 | 664 |
|> map_context (ProofContext.restore_naming (context_of state)) |
665 |
|> `the_facts |-> simple_note_thms name |
|
666 |
end; |
|
667 |
||
668 |
in |
|
669 |
||
18728 | 670 |
val invoke_case = gen_invoke_case Attrib.attribute; |
17112 | 671 |
val invoke_case_i = gen_invoke_case (K I); |
672 |
||
673 |
end; |
|
674 |
||
675 |
||
676 |
||
17359 | 677 |
(** proof structure **) |
678 |
||
679 |
(* blocks *) |
|
680 |
||
681 |
val begin_block = |
|
682 |
assert_forward |
|
683 |
#> open_block |
|
684 |
#> put_goal NONE |
|
685 |
#> open_block; |
|
686 |
||
687 |
val next_block = |
|
688 |
assert_forward |
|
689 |
#> close_block |
|
690 |
#> open_block |
|
691 |
#> put_goal NONE |
|
692 |
#> put_facts NONE; |
|
693 |
||
694 |
fun end_block state = |
|
695 |
state |
|
696 |
|> assert_forward |
|
697 |
|> close_block |
|
698 |
|> assert_current_goal false |
|
699 |
|> close_block |
|
700 |
|> export_facts state; |
|
701 |
||
702 |
||
703 |
(* sub-proofs *) |
|
704 |
||
705 |
fun proof opt_text = |
|
706 |
assert_backward |
|
17859 | 707 |
#> refine (the_default Method.default_text opt_text) |
17359 | 708 |
#> Seq.map (using_facts [] #> enter_forward); |
709 |
||
710 |
fun end_proof bot txt = |
|
711 |
assert_forward |
|
712 |
#> assert_bottom bot |
|
713 |
#> close_block |
|
714 |
#> assert_current_goal true |
|
715 |
#> using_facts [] |
|
17859 | 716 |
#> `before_qed #-> (refine o the_default Method.succeed_text) |
717 |
#> Seq.maps (refine (Method.finish_text txt)); |
|
17359 | 718 |
|
719 |
||
720 |
(* unstructured refinement *) |
|
721 |
||
722 |
fun defer i = assert_no_chain #> refine (Method.Basic (K (Method.defer i))); |
|
723 |
fun prefer i = assert_no_chain #> refine (Method.Basic (K (Method.prefer i))); |
|
724 |
||
725 |
fun apply text = assert_backward #> refine text #> Seq.map (using_facts []); |
|
726 |
fun apply_end text = assert_forward #> refine_end text; |
|
727 |
||
728 |
||
729 |
||
17112 | 730 |
(** goals **) |
731 |
||
17359 | 732 |
(* generic goals *) |
733 |
||
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
734 |
local |
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
735 |
|
19846 | 736 |
fun implicit_vars dest add props = |
737 |
let |
|
738 |
val (explicit_vars, props') = take_prefix (can dest) props |>> map dest; |
|
739 |
val vars = rev (subtract (op =) explicit_vars (fold add props [])); |
|
740 |
val _ = |
|
741 |
if null vars then () |
|
742 |
else warning ("Goal statement contains unbound schematic variable(s): " ^ |
|
743 |
commas_quote (map (Term.string_of_vname o fst) vars)); |
|
744 |
in (rev vars, props') end; |
|
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
745 |
|
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
746 |
fun refine_terms n = |
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
747 |
refine (Method.Basic (K (Method.RAW_METHOD |
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
748 |
(K (HEADGOAL (PRECISE_CONJUNCTS n |
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
749 |
(HEADGOAL (CONJUNCTS (ALLGOALS (rtac Drule.termI)))))))))) |
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
750 |
#> Seq.hd; |
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
751 |
|
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
752 |
in |
17359 | 753 |
|
17859 | 754 |
fun generic_goal prepp kind before_qed after_qed raw_propp state = |
5820 | 755 |
let |
17359 | 756 |
val thy = theory_of state; |
757 |
val chaining = can assert_chain state; |
|
758 |
||
759 |
val ((propss, after_ctxt), goal_state) = |
|
5936 | 760 |
state |
761 |
|> assert_forward_or_chain |
|
762 |
|> enter_forward |
|
17359 | 763 |
|> open_block |
17859 | 764 |
|> 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
|
765 |
val props = flat propss; |
15703 | 766 |
|
19846 | 767 |
val (_, props') = |
768 |
implicit_vars (dest_TVar o Logic.dest_type o Logic.dest_term) Term.add_tvars props; |
|
769 |
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
|
770 |
|
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
771 |
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
|
772 |
val goal = Goal.init (Thm.cterm_of thy (Logic.mk_conjunction_list2 propss')); |
18124 | 773 |
val after_qed' = after_qed |>> (fn after_local => |
774 |
fn results => map_context after_ctxt #> after_local results); |
|
5820 | 775 |
in |
17359 | 776 |
goal_state |
19900
21a99d88d925
ProofContext: moved variable operations to struct Variable;
wenzelm
parents:
19862
diff
changeset
|
777 |
|> map_context (Variable.set_body true) |
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
778 |
|> put_goal (SOME (make_goal ((kind, propss'), [], goal, before_qed, after_qed'))) |
18475 | 779 |
|> map_context (ProofContext.add_cases false (AutoBind.cases thy props)) |
17359 | 780 |
|> map_context (ProofContext.auto_bind_goal props) |
781 |
|> K chaining ? (`the_facts #-> using_facts) |
|
782 |
|> put_facts NONE |
|
783 |
|> open_block |
|
784 |
|> put_goal NONE |
|
5820 | 785 |
|> enter_backward |
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
786 |
|> K (not (null vars)) ? refine_terms (length propss') |
17450 | 787 |
|> K (null props) ? (refine (Method.Basic Method.assumption) #> Seq.hd) |
5820 | 788 |
end; |
789 |
||
17359 | 790 |
fun generic_qed state = |
12503 | 791 |
let |
18548 | 792 |
val (goal_ctxt, {statement = (_, stmt), using = _, goal, before_qed = _, after_qed}) = |
17859 | 793 |
current_goal state; |
8617
33e2bd53aec3
support Hindley-Milner polymorphisms in binds and facts;
wenzelm
parents:
8582
diff
changeset
|
794 |
val outer_state = state |> close_block; |
33e2bd53aec3
support Hindley-Milner polymorphisms in binds and facts;
wenzelm
parents:
8582
diff
changeset
|
795 |
val outer_ctxt = context_of outer_state; |
33e2bd53aec3
support Hindley-Milner polymorphisms in binds and facts;
wenzelm
parents:
8582
diff
changeset
|
796 |
|
18503
841137f20307
goal/qed: proper treatment of two levels of conjunctions;
wenzelm
parents:
18475
diff
changeset
|
797 |
val props = |
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
798 |
flat (tl stmt) |
19915 | 799 |
|> Variable.exportT_terms goal_ctxt outer_ctxt; |
17359 | 800 |
val results = |
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
801 |
tl (conclude_goal state goal stmt) |
20309 | 802 |
|> burrow (ProofContext.export goal_ctxt outer_ctxt); |
17359 | 803 |
in |
804 |
outer_state |
|
805 |
|> map_context (ProofContext.auto_bind_facts props) |
|
18124 | 806 |
|> pair (after_qed, results) |
17359 | 807 |
end; |
808 |
||
19774
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
809 |
end; |
5fe7731d0836
allow non-trivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset
|
810 |
|
9469 | 811 |
|
17359 | 812 |
(* local goals *) |
813 |
||
17859 | 814 |
fun local_goal print_results prep_att prepp kind before_qed after_qed stmt state = |
17359 | 815 |
let |
21362
3a2ab1dce297
simplified Proof.theorem(_i) interface -- removed target support;
wenzelm
parents:
21274
diff
changeset
|
816 |
val thy = theory_of state; |
3a2ab1dce297
simplified Proof.theorem(_i) interface -- removed target support;
wenzelm
parents:
21274
diff
changeset
|
817 |
val ((names, attss), propp) = |
3a2ab1dce297
simplified Proof.theorem(_i) interface -- removed target support;
wenzelm
parents:
21274
diff
changeset
|
818 |
Attrib.map_specs (prep_att thy) stmt |> split_list |>> split_list; |
17359 | 819 |
|
18124 | 820 |
fun after_qed' results = |
18808 | 821 |
local_results ((names ~~ attss) ~~ results) |
17359 | 822 |
#-> (fn res => tap (fn st => print_results (context_of st) ((kind, ""), res) : unit)) |
18124 | 823 |
#> after_qed results; |
5820 | 824 |
in |
17359 | 825 |
state |
21362
3a2ab1dce297
simplified Proof.theorem(_i) interface -- removed target support;
wenzelm
parents:
21274
diff
changeset
|
826 |
|> generic_goal prepp kind before_qed (after_qed', K I) propp |
19900
21a99d88d925
ProofContext: moved variable operations to struct Variable;
wenzelm
parents:
19862
diff
changeset
|
827 |
|> tap (Variable.warn_extra_tfrees (context_of state) o context_of) |
5820 | 828 |
end; |
829 |
||
17359 | 830 |
fun local_qed txt = |
20309 | 831 |
end_proof false txt #> |
832 |
Seq.maps (generic_qed #-> (fn ((after_qed, _), results) => after_qed results)); |
|
5820 | 833 |
|
834 |
||
17359 | 835 |
(* global goals *) |
836 |
||
21362
3a2ab1dce297
simplified Proof.theorem(_i) interface -- removed target support;
wenzelm
parents:
21274
diff
changeset
|
837 |
fun global_goal prepp kind before_qed after_qed propp ctxt = |
3a2ab1dce297
simplified Proof.theorem(_i) interface -- removed target support;
wenzelm
parents:
21274
diff
changeset
|
838 |
init ctxt |
3a2ab1dce297
simplified Proof.theorem(_i) interface -- removed target support;
wenzelm
parents:
21274
diff
changeset
|
839 |
|> generic_goal (prepp #> ProofContext.auto_fixes) kind |
3a2ab1dce297
simplified Proof.theorem(_i) interface -- removed target support;
wenzelm
parents:
21274
diff
changeset
|
840 |
before_qed (K Seq.single, after_qed) propp; |
17359 | 841 |
|
21362
3a2ab1dce297
simplified Proof.theorem(_i) interface -- removed target support;
wenzelm
parents:
21274
diff
changeset
|
842 |
val theorem = global_goal ProofContext.bind_propp_schematic; |
3a2ab1dce297
simplified Proof.theorem(_i) interface -- removed target support;
wenzelm
parents:
21274
diff
changeset
|
843 |
val theorem_i = global_goal ProofContext.bind_propp_schematic_i; |
12065 | 844 |
|
18678 | 845 |
fun check_result msg sq = |
17112 | 846 |
(case Seq.pull sq of |
18678 | 847 |
NONE => error msg |
19475 | 848 |
| SOME (s', sq') => Seq.cons s' sq'); |
17112 | 849 |
|
17359 | 850 |
fun global_qeds txt = |
851 |
end_proof true txt |
|
20309 | 852 |
#> Seq.map (generic_qed #> (fn (((_, after_qed), results), state) => |
20363
f34c5dbe74d5
global goals/qeds: after_qed operates on Proof.context (potentially local_theory);
wenzelm
parents:
20341
diff
changeset
|
853 |
after_qed results (context_of state))) |
17112 | 854 |
|> Seq.DETERM; (*backtracking may destroy theory!*) |
855 |
||
18678 | 856 |
fun global_qed txt = |
857 |
global_qeds txt |
|
858 |
#> check_result "Failed to finish proof" |
|
859 |
#> Seq.hd; |
|
12959 | 860 |
|
5820 | 861 |
|
17359 | 862 |
(* concluding steps *) |
17112 | 863 |
|
17359 | 864 |
fun local_terminal_proof (text, opt_text) = |
865 |
proof (SOME text) #> Seq.maps (local_qed (opt_text, true)); |
|
17112 | 866 |
|
867 |
val local_default_proof = local_terminal_proof (Method.default_text, NONE); |
|
868 |
val local_immediate_proof = local_terminal_proof (Method.this_text, NONE); |
|
17359 | 869 |
val local_done_proof = proof (SOME Method.done_text) #> Seq.maps (local_qed (NONE, false)); |
870 |
fun local_skip_proof int = local_terminal_proof (Method.sorry_text int, NONE); |
|
17112 | 871 |
|
18678 | 872 |
fun global_term_proof immed (text, opt_text) = |
873 |
proof (SOME text) |
|
874 |
#> check_result "Terminal proof method failed" |
|
875 |
#> Seq.maps (global_qeds (opt_text, immed)) |
|
876 |
#> check_result "Failed to finish proof (after successful terminal method)" |
|
877 |
#> Seq.hd; |
|
17112 | 878 |
|
879 |
val global_terminal_proof = global_term_proof true; |
|
880 |
val global_default_proof = global_terminal_proof (Method.default_text, NONE); |
|
881 |
val global_immediate_proof = global_terminal_proof (Method.this_text, NONE); |
|
882 |
val global_done_proof = global_term_proof false (Method.done_text, NONE); |
|
17359 | 883 |
fun global_skip_proof int = global_terminal_proof (Method.sorry_text int, NONE); |
5820 | 884 |
|
6896 | 885 |
|
17359 | 886 |
(* common goal statements *) |
887 |
||
888 |
local |
|
889 |
||
17859 | 890 |
fun gen_have prep_att prepp before_qed after_qed stmt int = |
891 |
local_goal (ProofDisplay.print_results int) prep_att prepp "have" before_qed after_qed stmt; |
|
6896 | 892 |
|
17859 | 893 |
fun gen_show prep_att prepp before_qed after_qed stmt int state = |
17359 | 894 |
let |
895 |
val testing = ref false; |
|
896 |
val rule = ref (NONE: thm option); |
|
897 |
fun fail_msg ctxt = |
|
898 |
"Local statement will fail to solve any pending goal" :: |
|
899 |
(case ! rule of NONE => [] | SOME th => [ProofDisplay.string_of_rule ctxt "Failed" th]) |
|
900 |
|> cat_lines; |
|
6896 | 901 |
|
17359 | 902 |
fun print_results ctxt res = |
903 |
if ! testing then () else ProofDisplay.print_results int ctxt res; |
|
904 |
fun print_rule ctxt th = |
|
905 |
if ! testing then rule := SOME th |
|
906 |
else if int then priority (ProofDisplay.string_of_rule ctxt "Successful" th) |
|
907 |
else (); |
|
908 |
val test_proof = |
|
909 |
(Seq.pull oo local_skip_proof) true |
|
910 |
|> setmp testing true |
|
911 |
|> setmp proofs 0 |
|
912 |
|> capture; |
|
6896 | 913 |
|
18124 | 914 |
fun after_qed' results = |
19482
9f11af8f7ef9
tuned basic list operators (flat, maps, map_filter);
wenzelm
parents:
19475
diff
changeset
|
915 |
refine_goals print_rule (context_of state) (flat results) |
18124 | 916 |
#> Seq.maps (after_qed results); |
17359 | 917 |
in |
918 |
state |
|
17859 | 919 |
|> local_goal print_results prep_att prepp "show" before_qed after_qed' stmt |
17359 | 920 |
|> K int ? (fn goal_state => |
921 |
(case test_proof goal_state of |
|
922 |
Result (SOME _) => goal_state |
|
18678 | 923 |
| Result NONE => error (fail_msg (context_of goal_state)) |
17359 | 924 |
| Exn Interrupt => raise Interrupt |
925 |
| Exn exn => raise EXCEPTION (exn, fail_msg (context_of goal_state)))) |
|
926 |
end; |
|
927 |
||
928 |
in |
|
929 |
||
18728 | 930 |
val have = gen_have Attrib.attribute ProofContext.bind_propp; |
17359 | 931 |
val have_i = gen_have (K I) ProofContext.bind_propp_i; |
18728 | 932 |
val show = gen_show Attrib.attribute ProofContext.bind_propp; |
17359 | 933 |
val show_i = gen_show (K I) ProofContext.bind_propp_i; |
6896 | 934 |
|
5820 | 935 |
end; |
17359 | 936 |
|
937 |
end; |