Nuprl - Pf wp2 correctness 1 1

(47steps) PrintForm Definitions Lemmas mb automata 4 Sections GenAutomata Doc

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. trace_consistent_pred(rho;A.da;tr.proj;Q)
11. single_valued_decls(A.ds)
12. s: [[A]] rho de e.state
13. x': [[A]] rho de e.state
14. tc_pred(Q;A.ds; < > ;de)
15. closed_pred(Q)
16. covers_pred(A;Q)
17. [[A]] rho de e.trans(s,a,x')
18. pred_mng_2(Q; rho; A.ds; < > ; de; e; s; x'; ; tr)
19. r: rel()
20. r (rQ.col_subst2(x.smts_eff(action_effect(kind(a);A.eff;A.frame);x);r))

[[r]] rho A.ds dec_lookup(A.da;kind(a)) de e s value(a) tr

By: RW ColMemberC -1 THEN Fold `wp2_rel` -1 THEN ExRepD

Generated subgoal:

1 20. r@0: rel()
21. r@0 Q
22. r wp2_rel(A;kind(a);r@0)
[[r]] rho A.ds dec_lookup(A.da;kind(a)) de e s value(a) tr

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(47steps) PrintForm Definitions Lemmas mb automata 4 Sections GenAutomata Doc