Nuprl - Pf wp2 correctness 2 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. [[wp2(A;kind(a);Q)]] rho A.ds dec_lookup(A.da;kind(a)) de e s value(a) tr
19. r: rel()
20. r Q

covers_rel(A;r)

By: Unfold `covers_rel` 0 THEN AllHyps (h.(Unfold `covers_pred` h) THEN (ParallelOp h)) THEN ParallelOp -1

Generated subgoal:

1 16. x:Label. pred_mentions(Q;x) covers_var(A;x)
17. [[A]] rho de e.trans(s,a,x')
18. [[wp2(A;kind(a);Q)]] rho A.ds dec_lookup(A.da;kind(a)) de e s value(a) tr
19. r: rel()
20. r Q
21. x: Label
22. rel_mentions(r;x)
pred_mentions(Q;x)

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