author  wenzelm 
Fri, 13 Jul 2007 22:36:10 +0200  
changeset 23806  d67aac3992c3 
parent 23782  4dd0ba632e40 
child 23963  c2ee97a963db 
permissions  rwrr 
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(* Title: Pure/Isar/proof.ML 
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ID: $Id$ 

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Author: Markus Wenzel, TU Muenchen 

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The Isar/VM proof language interpreter: maintains a structured flow of 
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context elements, goals, refinements, and facts. 

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*) 
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signature PROOF = 

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sig 

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type context = Context.proof 
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type method = Method.method 

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type state 
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val init: context > state 
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val level: state > int 

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val assert_bottom: bool > state > state 

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val context_of: state > context 
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val theory_of: state > theory 

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val map_context: (context > context) > state > state 
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val add_binds_i: (indexname * term option) list > state > state 
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val put_thms: 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 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: Method.text option > (thm list list > context > context) > 
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(string * string list) list list > context > state 
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val theorem_i: Method.text option > (thm list list > context > context) > 
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(term * term list) list list > context > state 
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global goals/qeds: after_qed operates on Proof.context (potentially local_theory);
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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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val init_context = 
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ProofContext.set_stmt true #> ProofContext.reset_naming; 

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fun init ctxt = 
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State (Stack.init (make_node (init_context ctxt, NONE, Forward, NONE))); 
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fun current (State st) = Stack.top st > (fn Node node => node); 
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fun map_current f (State st) = State (Stack.map_top (map_node f) st); 
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(** 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 o ProofContext.put_thms; 
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(* facts *) 

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val get_facts = #facts o current; 
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fun the_facts state = 

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(case get_facts state of SOME facts => facts 

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 NONE => error "No current facts available"); 
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fun the_fact state = 
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(case the_facts state of [thm] => thm 
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 _ => error "Single theorem expected"); 
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fun put_facts facts = 
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map_current (fn (ctxt, _, mode, goal) => (ctxt, facts, mode, goal)) #> 
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put_thms (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") 
5820  241 
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!" 

17359  265 
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; 
16539  313 
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 
17359  323 
val {context, facts, mode, goal = _} = current state; 
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fun levels_up 0 = "" 

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 levels_up 1 = "1 level up" 
327 
 levels_up i = string_of_int i ^ " levels up"; 

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11556  329 
fun subgoals 0 = "" 
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 subgoals 1 = "1 subgoal" 
331 
 subgoals n = string_of_int n ^ " subgoals"; 

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333 
fun description strs = 

334 
(case filter_out (equal "") strs of [] => "" 

335 
 strs' => enclose " (" ")" (commas strs')); 

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fun prt_goal (SOME (ctxt, (i, {statement = _, 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" ^ 
341 
description [levels_up (i div 2), subgoals (Thm.nprems_of goal)] ^ ":")] @ 

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pretty_goals_local ctxt Markup.subgoal 
343 
(true, ! show_main_goal) (! Display.goals_limit) goal 

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 prt_goal NONE = []; 
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val prt_ctxt = 
347 
if ! verbose orelse mode = Forward then ProofContext.pretty_context context 

18670  348 
else if mode = Backward then ProofContext.pretty_ctxt context 
7575  349 
else []; 
17359  350 
in 
351 
[Pretty.str ("proof (" ^ mode_name mode ^ "): step " ^ string_of_int nr ^ 

352 
(if ! verbose then ", depth " ^ string_of_int (level state div 2  1) else "")), 

353 
Pretty.str ""] @ 

354 
(if null prt_ctxt then [] else prt_ctxt @ [Pretty.str ""]) @ 

355 
(if ! verbose orelse mode = Forward then 

356 
pretty_facts "" context facts @ prt_goal (try find_goal state) 

357 
else if mode = Chain then pretty_facts "picking " context facts 

358 
else prt_goal (try find_goal state)) 

359 
end; 

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fun pretty_goals main state = 
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let val (ctxt, (_, goal)) = get_goal state 
23639  363 
in pretty_goals_local ctxt Markup.none (false, main) (! Display.goals_limit) goal end; 
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366 

367 
(** proof steps **) 

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(* refine via method *) 
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8234  371 
local 
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16146  373 
fun goalN i = "goal" ^ string_of_int i; 
374 
fun goals st = map goalN (1 upto Thm.nprems_of st); 

375 

376 
fun no_goal_cases st = map (rpair NONE) (goals st); 

377 

378 
fun goal_cases st = 

18607  379 
RuleCases.make_common true (Thm.theory_of_thm st, Thm.prop_of st) (map (rpair []) (goals st)); 
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fun apply_method current_context pos meth_fun state = 
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let 
17859  383 
val (goal_ctxt, (_, {statement, using, goal, before_qed, after_qed})) = find_goal state; 
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val ctxt = ContextPosition.put pos (if current_context then context_of state else goal_ctxt); 
385 
val meth = meth_fun ctxt; 

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in 
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Method.apply meth using goal > Seq.map (fn (meth_cases, goal') => 
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state 
16146  389 
> map_goal 
18475  390 
(ProofContext.add_cases false (no_goal_cases goal @ goal_cases goal') #> 
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ProofContext.add_cases true meth_cases) 

17859  392 
(K (statement, using, goal', before_qed, after_qed))) 
16146  393 
end; 
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fun select_goals n meth state = 
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state 
397 
> (#2 o #2 o get_goal) 

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> ALLGOALS Goal.conjunction_tac 
19224  399 
> Seq.maps (fn goal => 
19188  400 
state 
21687  401 
> Seq.lift set_goal (Goal.extract 1 n goal > Seq.maps (Goal.conjunction_tac 1)) 
19188  402 
> Seq.maps meth 
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> Seq.maps (fn state' => state' 

404 
> Seq.lift set_goal (Goal.retrofit 1 n (#2 (#2 (get_goal state'))) goal)) 

23360  405 
> Seq.maps (apply_method true Position.none (K Method.succeed))); 
19188  406 

17112  407 
fun apply_text cc text state = 
408 
let 

409 
val thy = theory_of state; 

23360  410 
val pos_of = #2 o Args.dest_src; 
17112  411 

23360  412 
fun eval (Method.Basic (m, pos)) = apply_method cc pos m 
413 
 eval (Method.Source src) = apply_method cc (pos_of src) (Method.method thy src) 

414 
 eval (Method.Source_i src) = apply_method cc (pos_of src) (Method.method_i thy src) 

17112  415 
 eval (Method.Then txts) = Seq.EVERY (map eval txts) 
416 
 eval (Method.Orelse txts) = Seq.FIRST (map eval txts) 

417 
 eval (Method.Try txt) = Seq.TRY (eval txt) 

19188  418 
 eval (Method.Repeat1 txt) = Seq.REPEAT1 (eval txt) 
419 
 eval (Method.SelectGoals (n, txt)) = select_goals n (eval txt); 

17112  420 
in eval text state end; 
421 

8234  422 
in 
423 

17112  424 
val refine = apply_text true; 
425 
val refine_end = apply_text false; 

8234  426 

18908  427 
fun refine_insert [] = I 
23360  428 
 refine_insert ths = Seq.hd o refine (Method.Basic (K (Method.insert ths), Position.none)); 
18908  429 

8234  430 
end; 
431 

5820  432 

17359  433 
(* refine via subproof *) 
434 

20208  435 
fun goal_tac rule = 
21687  436 
Goal.norm_hhf_tac THEN' Tactic.rtac rule THEN_ALL_NEW 
437 
(Goal.norm_hhf_tac THEN' (SUBGOAL (fn (goal, i) => 

18186  438 
if can Logic.unprotect (Logic.strip_assums_concl goal) then 
439 
Tactic.etac Drule.protectI i 

440 
else all_tac))); 

11816  441 

19915  442 
fun refine_goals print_rule inner raw_rules state = 
443 
let 

444 
val (outer, (_, goal)) = get_goal state; 

20208  445 
fun refine rule st = (print_rule outer rule; FINDGOAL (goal_tac rule) st); 
19915  446 
in 
447 
raw_rules 

20309  448 
> ProofContext.goal_export inner outer 
449 
> (fn rules => Seq.lift set_goal (EVERY (map refine rules) goal) state) 

19915  450 
end; 
17359  451 

6932  452 

17359  453 
(* conclude_goal *) 
6932  454 

18503
841137f20307
goal/qed: proper treatment of two levels of conjunctions;
wenzelm
parents:
18475
diff
changeset

455 
fun conclude_goal state goal propss = 
5820  456 
let 
19774
5fe7731d0836
allow nontrivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset

457 
val thy = theory_of state; 
5820  458 
val ctxt = context_of state; 
19774
5fe7731d0836
allow nontrivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset

459 
val string_of_term = ProofContext.string_of_term ctxt; 
5fe7731d0836
allow nontrivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset

460 
val string_of_thm = ProofContext.string_of_thm ctxt; 
5820  461 

17359  462 
val ngoals = Thm.nprems_of goal; 
19774
5fe7731d0836
allow nontrivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset

463 
val _ = ngoals = 0 orelse error (Pretty.string_of (Pretty.chunks 
23639  464 
(pretty_goals_local ctxt Markup.none (true, ! show_main_goal) (! Display.goals_limit) goal @ 
465 
[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

466 

9c40a144ee0e
moved basic assumption operations from structure ProofContext to Assumption;
wenzelm
parents:
20208
diff
changeset

467 
val extra_hyps = Assumption.extra_hyps ctxt goal; 
9c40a144ee0e
moved basic assumption operations from structure ProofContext to Assumption;
wenzelm
parents:
20208
diff
changeset

468 
val _ = null extra_hyps orelse 
9c40a144ee0e
moved basic assumption operations from structure ProofContext to Assumption;
wenzelm
parents:
20208
diff
changeset

469 
error ("Additional hypotheses:\n" ^ cat_lines (map string_of_term extra_hyps)); 
5820  470 

23418  471 
fun lost_structure () = error ("Lost goal structure:\n" ^ string_of_thm goal); 
472 

23782
4dd0ba632e40
Proof terms for metaconjunctions are now normalized before
berghofe
parents:
23639
diff
changeset

473 
val th = Goal.conclude 
23806  474 
(if length (flat propss) > 1 then Thm.norm_proof goal else goal) 
23782
4dd0ba632e40
Proof terms for metaconjunctions are now normalized before
berghofe
parents:
23639
diff
changeset

475 
handle THM _ => lost_structure (); 
23418  476 
val goal_propss = filter_out null propss; 
477 
val results = 

478 
Conjunction.elim_balanced (length goal_propss) th 

479 
> map2 Conjunction.elim_balanced (map length goal_propss) 

480 
handle THM _ => lost_structure (); 

481 
val _ = Unify.matches_list thy (flat goal_propss) (map Thm.prop_of (flat results)) orelse 

19774
5fe7731d0836
allow nontrivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset

482 
error ("Proved a different theorem:\n" ^ string_of_thm th); 
23418  483 

484 
fun recover_result ([] :: pss) thss = [] :: recover_result pss thss 

485 
 recover_result (_ :: pss) (ths :: thss) = ths :: recover_result pss thss 

486 
 recover_result [] [] = [] 

487 
 recover_result _ _ = lost_structure (); 

488 
in recover_result propss results end; 

5820  489 

490 

491 

492 
(*** structured proof commands ***) 

493 

17112  494 
(** context elements **) 
5820  495 

17112  496 
(* bindings *) 
5820  497 

16813  498 
local 
499 

17359  500 
fun gen_bind bind args state = 
5820  501 
state 
502 
> assert_forward 

18308  503 
> map_context (bind args #> snd) 
17359  504 
> put_facts NONE; 
5820  505 

16813  506 
in 
507 

8617
33e2bd53aec3
support HindleyMilner polymorphisms in binds and facts;
wenzelm
parents:
8582
diff
changeset

508 
val match_bind = gen_bind (ProofContext.match_bind false); 
33e2bd53aec3
support HindleyMilner polymorphisms in binds and facts;
wenzelm
parents:
8582
diff
changeset

509 
val match_bind_i = gen_bind (ProofContext.match_bind_i false); 
33e2bd53aec3
support HindleyMilner polymorphisms in binds and facts;
wenzelm
parents:
8582
diff
changeset

510 
val let_bind = gen_bind (ProofContext.match_bind true); 
33e2bd53aec3
support HindleyMilner polymorphisms in binds and facts;
wenzelm
parents:
8582
diff
changeset

511 
val let_bind_i = gen_bind (ProofContext.match_bind_i true); 
5820  512 

16813  513 
end; 
514 

5820  515 

17359  516 
(* fix *) 
9196  517 

12714  518 
local 
519 

18670  520 
fun gen_fix add_fixes args = 
17359  521 
assert_forward 
19846  522 
#> map_context (snd o add_fixes args) 
17359  523 
#> put_facts NONE; 
5820  524 

16813  525 
in 
526 

18670  527 
val fix = gen_fix ProofContext.add_fixes; 
528 
val fix_i = gen_fix ProofContext.add_fixes_i; 

5820  529 

16813  530 
end; 
531 

5820  532 

17359  533 
(* assume etc. *) 
5820  534 

16813  535 
local 
536 

17112  537 
fun gen_assume asm prep_att exp args state = 
5820  538 
state 
539 
> assert_forward 

17112  540 
> map_context_result (asm exp (Attrib.map_specs (prep_att (theory_of state)) args)) 
17359  541 
> these_factss [] > #2; 
6932  542 

16813  543 
in 
544 

18728  545 
val assm = gen_assume ProofContext.add_assms Attrib.attribute; 
18670  546 
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

547 
val assume = assm Assumption.assume_export; 
9c40a144ee0e
moved basic assumption operations from structure ProofContext to Assumption;
wenzelm
parents:
20208
diff
changeset

548 
val assume_i = assm_i Assumption.assume_export; 
9c40a144ee0e
moved basic assumption operations from structure ProofContext to Assumption;
wenzelm
parents:
20208
diff
changeset

549 
val presume = assm Assumption.presume_export; 
9c40a144ee0e
moved basic assumption operations from structure ProofContext to Assumption;
wenzelm
parents:
20208
diff
changeset

550 
val presume_i = assm_i Assumption.presume_export; 
5820  551 

16813  552 
end; 
553 

7271  554 

17359  555 
(* def *) 
11891  556 

16813  557 
local 
558 

20913  559 
fun gen_def prep_att prep_vars prep_binds args state = 
11891  560 
let 
561 
val _ = assert_forward state; 

17112  562 
val thy = theory_of state; 
20913  563 
val ctxt = context_of state; 
11891  564 

20913  565 
val (raw_name_atts, (raw_vars, raw_rhss)) = args > split_list > split_list; 
566 
val name_atts = map (apsnd (map (prep_att thy))) raw_name_atts; 

11891  567 
in 
20913  568 
state 
569 
> map_context_result (prep_vars (map (fn (x, mx) => (x, NONE, mx)) raw_vars)) 

570 
>> map (fn (x, _, mx) => (x, mx)) 

571 
> (fn vars => 

572 
map_context_result (prep_binds false (map swap raw_rhss)) 

573 
#> (fn rhss => map_context_result (LocalDefs.add_defs (vars ~~ (name_atts ~~ rhss))))) 

574 
> (put_facts o SOME o map (#2 o #2)) 

11891  575 
end; 
576 

16813  577 
in 
578 

20913  579 
val def = gen_def Attrib.attribute ProofContext.read_vars ProofContext.match_bind; 
580 
val def_i = gen_def (K I) ProofContext.cert_vars ProofContext.match_bind_i; 

11891  581 

16813  582 
end; 
583 

11891  584 

8374  585 

17112  586 
(** facts **) 
5820  587 

17359  588 
(* chain *) 
5820  589 

17359  590 
val chain = 
591 
assert_forward 

592 
#> tap the_facts 

593 
#> enter_chain; 

5820  594 

17359  595 
fun chain_facts facts = 
596 
put_facts (SOME facts) 

597 
#> chain; 

5820  598 

599 

17359  600 
(* note etc. *) 
17112  601 

17166  602 
fun no_binding args = map (pair ("", [])) args; 
17112  603 

604 
local 

605 

17359  606 
fun gen_thmss note_ctxt more_facts opt_chain opt_result prep_atts args state = 
17112  607 
state 
608 
> assert_forward 

609 
> map_context_result (note_ctxt (Attrib.map_facts (prep_atts (theory_of state)) args)) 

610 
> these_factss (more_facts state) 

17359  611 
> opt_chain 
612 
> opt_result; 

17112  613 

614 
in 

615 

21442  616 
val note_thmss = gen_thmss (ProofContext.note_thmss "") (K []) I #2 Attrib.attribute; 
617 
val note_thmss_i = gen_thmss (ProofContext.note_thmss_i "") (K []) I #2 (K I); 

17112  618 

619 
val from_thmss = 

21442  620 
gen_thmss (ProofContext.note_thmss "") (K []) chain #2 Attrib.attribute o no_binding; 
621 
val from_thmss_i = gen_thmss (ProofContext.note_thmss_i "") (K []) chain #2 (K I) o no_binding; 

17112  622 

623 
val with_thmss = 

21442  624 
gen_thmss (ProofContext.note_thmss "") the_facts chain #2 Attrib.attribute o no_binding; 
625 
val with_thmss_i = gen_thmss (ProofContext.note_thmss_i "") the_facts chain #2 (K I) o no_binding; 

17359  626 

18808  627 
val local_results = 
21442  628 
gen_thmss (ProofContext.note_thmss_i "") (K []) I I (K I) o map (apsnd Thm.simple_fact); 
17359  629 

630 
fun get_thmss state srcs = the_facts (note_thmss [(("", []), srcs)] state); 

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 

21442  642 
> map_context_result 
643 
(note "" (Attrib.map_facts (prep_atts (theory_of state)) (no_binding args))) 

18843  644 
> (fn (named_facts, state') => 
645 
state' > map_goal I (fn (statement, using, goal, before_qed, after_qed) => 

646 
let 

647 
val ctxt = context_of state'; 

19482
9f11af8f7ef9
tuned basic list operators (flat, maps, map_filter);
wenzelm
parents:
19475
diff
changeset

648 
val ths = maps snd named_facts; 
18843  649 
in (statement, f ctxt ths using, g ctxt ths goal, before_qed, after_qed) end)); 
18548  650 

18843  651 
fun append_using _ ths using = using @ ths; 
18878  652 
fun unfold_using ctxt ths = map (LocalDefs.unfold ctxt ths); 
653 
val unfold_goals = LocalDefs.unfold_goals; 

17112  654 

655 
in 

656 

18843  657 
val using = gen_using append_using (K (K I)) ProofContext.note_thmss Attrib.attribute; 
658 
val using_i = gen_using append_using (K (K I)) ProofContext.note_thmss_i (K I); 

18826  659 
val unfolding = gen_using unfold_using unfold_goals ProofContext.note_thmss Attrib.attribute; 
660 
val unfolding_i = gen_using unfold_using unfold_goals ProofContext.note_thmss_i (K I); 

17112  661 

662 
end; 

663 

664 

665 
(* case *) 

666 

667 
local 

668 

669 
fun gen_invoke_case prep_att (name, xs, raw_atts) state = 

670 
let 

671 
val atts = map (prep_att (theory_of state)) raw_atts; 

19078  672 
val (asms, state') = state > map_context_result (fn ctxt => 
673 
ctxt > ProofContext.apply_case (ProofContext.get_case ctxt name xs)); 

19585  674 
val assumptions = asms > map (fn (a, ts) => ((a, atts), map (rpair []) ts)); 
17112  675 
in 
676 
state' 

17359  677 
> map_context (ProofContext.qualified_names #> ProofContext.no_base_names) 
17112  678 
> assume_i assumptions 
17976  679 
> add_binds_i AutoBind.no_facts 
17112  680 
> map_context (ProofContext.restore_naming (context_of state)) 
21449  681 
> `the_facts > (fn thms => note_thmss_i [((name, []), [(thms, [])])]) 
17112  682 
end; 
683 

684 
in 

685 

18728  686 
val invoke_case = gen_invoke_case Attrib.attribute; 
17112  687 
val invoke_case_i = gen_invoke_case (K I); 
688 

689 
end; 

690 

691 

692 

17359  693 
(** proof structure **) 
694 

695 
(* blocks *) 

696 

697 
val begin_block = 

698 
assert_forward 

699 
#> open_block 

700 
#> put_goal NONE 

701 
#> open_block; 

702 

703 
val next_block = 

704 
assert_forward 

705 
#> close_block 

706 
#> open_block 

707 
#> put_goal NONE 

708 
#> put_facts NONE; 

709 

710 
fun end_block state = 

711 
state 

712 
> assert_forward 

713 
> close_block 

714 
> assert_current_goal false 

715 
> close_block 

716 
> export_facts state; 

717 

718 

719 
(* subproofs *) 

720 

721 
fun proof opt_text = 

722 
assert_backward 

17859  723 
#> refine (the_default Method.default_text opt_text) 
17359  724 
#> Seq.map (using_facts [] #> enter_forward); 
725 

23360  726 
fun end_proof bot txt state = 
727 
state 

728 
> assert_forward 

729 
> assert_bottom bot 

730 
> close_block 

731 
> assert_current_goal true 

732 
> using_facts [] 

733 
> `before_qed > (refine o the_default Method.succeed_text) 

734 
> Seq.maps (refine (Method.finish_text txt (ContextPosition.get (context_of state)))); 

17359  735 

736 

737 
(* unstructured refinement *) 

738 

23360  739 
fun defer i = assert_no_chain #> refine (Method.Basic (K (Method.defer i), Position.none)); 
740 
fun prefer i = assert_no_chain #> refine (Method.Basic (K (Method.prefer i), Position.none)); 

17359  741 

742 
fun apply text = assert_backward #> refine text #> Seq.map (using_facts []); 

743 
fun apply_end text = assert_forward #> refine_end text; 

744 

745 

746 

17112  747 
(** goals **) 
748 

17359  749 
(* generic goals *) 
750 

19774
5fe7731d0836
allow nontrivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset

751 
local 
5fe7731d0836
allow nontrivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset

752 

19846  753 
fun implicit_vars dest add props = 
754 
let 

755 
val (explicit_vars, props') = take_prefix (can dest) props >> map dest; 

756 
val vars = rev (subtract (op =) explicit_vars (fold add props [])); 

757 
val _ = 

758 
if null vars then () 

759 
else warning ("Goal statement contains unbound schematic variable(s): " ^ 

760 
commas_quote (map (Term.string_of_vname o fst) vars)); 

761 
in (rev vars, props') end; 

19774
5fe7731d0836
allow nontrivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset

762 

5fe7731d0836
allow nontrivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset

763 
fun refine_terms n = 
5fe7731d0836
allow nontrivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset

764 
refine (Method.Basic (K (Method.RAW_METHOD 
5fe7731d0836
allow nontrivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset

765 
(K (HEADGOAL (PRECISE_CONJUNCTS n 
23360  766 
(HEADGOAL (CONJUNCTS (ALLGOALS (rtac Drule.termI)))))))), Position.none)) 
19774
5fe7731d0836
allow nontrivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset

767 
#> Seq.hd; 
5fe7731d0836
allow nontrivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset

768 

5fe7731d0836
allow nontrivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset

769 
in 
17359  770 

17859  771 
fun generic_goal prepp kind before_qed after_qed raw_propp state = 
5820  772 
let 
17359  773 
val thy = theory_of state; 
23418  774 
val cert = Thm.cterm_of thy; 
17359  775 
val chaining = can assert_chain state; 
776 

777 
val ((propss, after_ctxt), goal_state) = 

5936  778 
state 
779 
> assert_forward_or_chain 

780 
> enter_forward 

17359  781 
> open_block 
17859  782 
> 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

783 
val props = flat propss; 
15703  784 

19846  785 
val (_, props') = 
786 
implicit_vars (dest_TVar o Logic.dest_type o Logic.dest_term) Term.add_tvars props; 

787 
val (vars, _) = implicit_vars (dest_Var o Logic.dest_term) Term.add_vars props'; 

19774
5fe7731d0836
allow nontrivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset

788 

5fe7731d0836
allow nontrivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset

789 
val propss' = map (Logic.mk_term o Var) vars :: propss; 
23418  790 
val goal_propss = filter_out null propss'; 
791 
val goal = Goal.init (cert 

792 
(Logic.mk_conjunction_balanced (map Logic.mk_conjunction_balanced goal_propss))); 

18124  793 
val after_qed' = after_qed >> (fn after_local => 
794 
fn results => map_context after_ctxt #> after_local results); 

5820  795 
in 
17359  796 
goal_state 
21727  797 
> map_context (init_context #> Variable.set_body true) 
19774
5fe7731d0836
allow nontrivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset

798 
> put_goal (SOME (make_goal ((kind, propss'), [], goal, before_qed, after_qed'))) 
18475  799 
> map_context (ProofContext.add_cases false (AutoBind.cases thy props)) 
17359  800 
> map_context (ProofContext.auto_bind_goal props) 
21565  801 
> chaining ? (`the_facts #> using_facts) 
17359  802 
> put_facts NONE 
803 
> open_block 

804 
> put_goal NONE 

5820  805 
> enter_backward 
23418  806 
> not (null vars) ? refine_terms (length goal_propss) 
23360  807 
> null props ? (refine (Method.Basic (Method.assumption, Position.none)) #> Seq.hd) 
5820  808 
end; 
809 

17359  810 
fun generic_qed state = 
12503  811 
let 
18548  812 
val (goal_ctxt, {statement = (_, stmt), using = _, goal, before_qed = _, after_qed}) = 
17859  813 
current_goal state; 
8617
33e2bd53aec3
support HindleyMilner polymorphisms in binds and facts;
wenzelm
parents:
8582
diff
changeset

814 
val outer_state = state > close_block; 
33e2bd53aec3
support HindleyMilner polymorphisms in binds and facts;
wenzelm
parents:
8582
diff
changeset

815 
val outer_ctxt = context_of outer_state; 
33e2bd53aec3
support HindleyMilner polymorphisms in binds and facts;
wenzelm
parents:
8582
diff
changeset

816 

18503
841137f20307
goal/qed: proper treatment of two levels of conjunctions;
wenzelm
parents:
18475
diff
changeset

817 
val props = 
19774
5fe7731d0836
allow nontrivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset

818 
flat (tl stmt) 
19915  819 
> Variable.exportT_terms goal_ctxt outer_ctxt; 
17359  820 
val results = 
19774
5fe7731d0836
allow nontrivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset

821 
tl (conclude_goal state goal stmt) 
20309  822 
> burrow (ProofContext.export goal_ctxt outer_ctxt); 
17359  823 
in 
824 
outer_state 

825 
> map_context (ProofContext.auto_bind_facts props) 

18124  826 
> pair (after_qed, results) 
17359  827 
end; 
828 

19774
5fe7731d0836
allow nontrivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset

829 
end; 
5fe7731d0836
allow nontrivial schematic goals (via embedded term vars);
wenzelm
parents:
19585
diff
changeset

830 

9469  831 

17359  832 
(* local goals *) 
833 

17859  834 
fun local_goal print_results prep_att prepp kind before_qed after_qed stmt state = 
17359  835 
let 
21362
3a2ab1dce297
simplified Proof.theorem(_i) interface  removed target support;
wenzelm
parents:
21274
diff
changeset

836 
val thy = theory_of state; 
3a2ab1dce297
simplified Proof.theorem(_i) interface  removed target support;
wenzelm
parents:
21274
diff
changeset

837 
val ((names, attss), propp) = 
3a2ab1dce297
simplified Proof.theorem(_i) interface  removed target support;
wenzelm
parents:
21274
diff
changeset

838 
Attrib.map_specs (prep_att thy) stmt > split_list >> split_list; 
17359  839 

18124  840 
fun after_qed' results = 
18808  841 
local_results ((names ~~ attss) ~~ results) 
17359  842 
#> (fn res => tap (fn st => print_results (context_of st) ((kind, ""), res) : unit)) 
18124  843 
#> after_qed results; 
5820  844 
in 
17359  845 
state 
21362
3a2ab1dce297
simplified Proof.theorem(_i) interface  removed target support;
wenzelm
parents:
21274
diff
changeset

846 
> 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

847 
> tap (Variable.warn_extra_tfrees (context_of state) o context_of) 
5820  848 
end; 
849 

17359  850 
fun local_qed txt = 
20309  851 
end_proof false txt #> 
852 
Seq.maps (generic_qed #> (fn ((after_qed, _), results) => after_qed results)); 

5820  853 

854 

17359  855 
(* global goals *) 
856 

21442  857 
fun global_goal prepp before_qed after_qed propp ctxt = 
21362
3a2ab1dce297
simplified Proof.theorem(_i) interface  removed target support;
wenzelm
parents:
21274
diff
changeset

858 
init ctxt 
21442  859 
> generic_goal (prepp #> ProofContext.auto_fixes) "" 
21362
3a2ab1dce297
simplified Proof.theorem(_i) interface  removed target support;
wenzelm
parents:
21274
diff
changeset

860 
before_qed (K Seq.single, after_qed) propp; 
17359  861 

21362
3a2ab1dce297
simplified Proof.theorem(_i) interface  removed target support;
wenzelm
parents:
21274
diff
changeset

862 
val theorem = global_goal ProofContext.bind_propp_schematic; 
3a2ab1dce297
simplified Proof.theorem(_i) interface  removed target support;
wenzelm
parents:
21274
diff
changeset

863 
val theorem_i = global_goal ProofContext.bind_propp_schematic_i; 
12065  864 

18678  865 
fun check_result msg sq = 
17112  866 
(case Seq.pull sq of 
18678  867 
NONE => error msg 
19475  868 
 SOME (s', sq') => Seq.cons s' sq'); 
17112  869 

17359  870 
fun global_qeds txt = 
871 
end_proof true txt 

20309  872 
#> 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

873 
after_qed results (context_of state))) 
17112  874 
> Seq.DETERM; (*backtracking may destroy theory!*) 
875 

18678  876 
fun global_qed txt = 
877 
global_qeds txt 

878 
#> check_result "Failed to finish proof" 

879 
#> Seq.hd; 

12959  880 

5820  881 

17359  882 
(* concluding steps *) 
17112  883 

17359  884 
fun local_terminal_proof (text, opt_text) = 
885 
proof (SOME text) #> Seq.maps (local_qed (opt_text, true)); 

17112  886 

887 
val local_default_proof = local_terminal_proof (Method.default_text, NONE); 

888 
val local_immediate_proof = local_terminal_proof (Method.this_text, NONE); 

17359  889 
val local_done_proof = proof (SOME Method.done_text) #> Seq.maps (local_qed (NONE, false)); 
890 
fun local_skip_proof int = local_terminal_proof (Method.sorry_text int, NONE); 

17112  891 

18678  892 
fun global_term_proof immed (text, opt_text) = 
893 
proof (SOME text) 

894 
#> check_result "Terminal proof method failed" 

895 
#> Seq.maps (global_qeds (opt_text, immed)) 

896 
#> check_result "Failed to finish proof (after successful terminal method)" 

897 
#> Seq.hd; 

17112  898 

899 
val global_terminal_proof = global_term_proof true; 

900 
val global_default_proof = global_terminal_proof (Method.default_text, NONE); 

901 
val global_immediate_proof = global_terminal_proof (Method.this_text, NONE); 

902 
val global_done_proof = global_term_proof false (Method.done_text, NONE); 

17359  903 
fun global_skip_proof int = global_terminal_proof (Method.sorry_text int, NONE); 
5820  904 

6896  905 

17359  906 
(* common goal statements *) 
907 

908 
local 

909 

17859  910 
fun gen_have prep_att prepp before_qed after_qed stmt int = 
911 
local_goal (ProofDisplay.print_results int) prep_att prepp "have" before_qed after_qed stmt; 

6896  912 

17859  913 
fun gen_show prep_att prepp before_qed after_qed stmt int state = 
17359  914 
let 
915 
val testing = ref false; 

916 
val rule = ref (NONE: thm option); 

917 
fun fail_msg ctxt = 

918 
"Local statement will fail to solve any pending goal" :: 

919 
(case ! rule of NONE => []  SOME th => [ProofDisplay.string_of_rule ctxt "Failed" th]) 

920 
> cat_lines; 

6896  921 

17359  922 
fun print_results ctxt res = 
923 
if ! testing then () else ProofDisplay.print_results int ctxt res; 

924 
fun print_rule ctxt th = 

925 
if ! testing then rule := SOME th 

926 
else if int then priority (ProofDisplay.string_of_rule ctxt "Successful" th) 

927 
else (); 

928 
val test_proof = 

929 
(Seq.pull oo local_skip_proof) true 

930 
> setmp testing true 

931 
> setmp proofs 0 

932 
> capture; 

6896  933 

18124  934 
fun after_qed' results = 
19482
9f11af8f7ef9
tuned basic list operators (flat, maps, map_filter);
wenzelm
parents:
19475
diff
changeset

935 
refine_goals print_rule (context_of state) (flat results) 
18124  936 
#> Seq.maps (after_qed results); 
17359  937 
in 
938 
state 

17859  939 
> local_goal print_results prep_att prepp "show" before_qed after_qed' stmt 
21565  940 
> int ? (fn goal_state => 
17359  941 
(case test_proof goal_state of 
942 
Result (SOME _) => goal_state 

18678  943 
 Result NONE => error (fail_msg (context_of goal_state)) 
17359  944 
 Exn Interrupt => raise Interrupt 
945 
 Exn exn => raise EXCEPTION (exn, fail_msg (context_of goal_state)))) 

946 
end; 

947 

948 
in 

949 

18728  950 
val have = gen_have Attrib.attribute ProofContext.bind_propp; 
17359  951 
val have_i = gen_have (K I) ProofContext.bind_propp_i; 
18728  952 
val show = gen_show Attrib.attribute ProofContext.bind_propp; 
17359  953 
val show_i = gen_show (K I) ProofContext.bind_propp_i; 
6896  954 

5820  955 
end; 
17359  956 

957 
end; 