A:ioa{i:l}(), de:sig(). tc_ioa(A;de) ioa_mentions_trace(A) (Q:Fmla, rho:Decl, e:{[[de]] rho}, a:[[A]] rho de e.action, tr:trace_env([[A.da]] rho). tc_ioa(A;de) ioa_mentions_trace(A) trace_consistent_pred(rho;A.da;tr.proj;Q) single_valued_decls(A.ds) (s,x':[[A]] rho de e.state. tc_pred(Q;A.ds; < > ;de) closed_pred(Q) covers_pred(A;Q) [[A]] rho de e.trans(s,a,x') ([[Q]] rho A.ds < > de e x' tr [[wp(A;kind(a);Q)]] rho A.ds dec_lookup(A.da;kind(a)) de e s value(a) tr)))

((RepeatFor 19 ((Analyze 0) THENA (Complete (Auto THEN (Try (Unfold `decl` 0)))))) THEN (Inst Thm* A:ioa{i:l}(), de:sig(). tc_ioa(A;de) ioa_mentions_trace(A) (Q:Fmla, rho:Decl, e:{[[de]] rho}, a:[[A]] rho de e.action, tr:trace_env([[A.da]] rho). trace_consistent_pred(rho;A.da;tr.proj;Q) single_valued_decls(A.ds) (s,x':[[A]] rho de e.state. tc_pred(Q;A.ds; < > ;de) closed_pred(Q) covers_pred(A;Q) [[A]] rho de e.trans(s,a,x') (pred_mng_2(Q; rho; A.ds; < > ; de; e; s; x'; ; tr) [[wp2(A;kind(a);Q)]] rho A.ds dec_lookup(A.da;kind(a)) de e s value(a) tr))) [A;de;(Q)';rho;e;a;tr;s;x'])) THENA (Auto THEN (Try (RWO "covers_pred_addprime" 0)) THEN (Try (RWO "closed_pred_addprime" 0)) THEN (Try Easy))

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1. A: ioa{i:l}() 2. de: sig() 3. tc_ioa(A;de) 4. ioa_mentions_trace(A) 5. Q: Fmla 6. rho: Decl 7. e: {[[de]] rho} 8. a: [[A]] rho de e.action 9. tr: trace_env([[A.da]] rho) 10. tc_ioa(A;de) 11. ioa_mentions_trace(A) 12. trace_consistent_pred(rho;A.da;tr.proj;Q) 13. single_valued_decls(A.ds) 14. s: [[A]] rho de e.state 15. x': [[A]] rho de e.state 16. tc_pred(Q;A.ds; < > ;de) 17. closed_pred(Q) 18. covers_pred(A;Q) 19. [[A]] rho de e.trans(s,a,x') 20. pred_mng_2((Q)'; rho; A.ds; < > ; de; e; s; x'; ; tr) [[wp2(A;kind(a);(Q)')]] rho A.ds dec_lookup(A.da;kind(a)) de e s value(a) tr [[Q]] rho A.ds < > de e x' tr [[wp(A;kind(a);Q)]] rho A.ds dec_lookup(A.da;kind(a)) de e s value(a) tr

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