Nuprl - Pf wp2 correctness 4 2

(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. r:rel(). r Q trace_consistent_pred(rho;A.da;tr.proj;wp2_rel(A;kind(a);r))

trace_consistent_pred(rho;A.da;tr.proj;wp2(A;kind(a);Q))

By: Unfold `trace_consistent_pred` 0 THEN Unfold `col_all` 0

Generated subgoals:

1 19. r: rel()
20. r wp2(A;kind(a);Q)
trace_consistent_rel(rho;A.da;tr.proj;r)

2 19. r: rel()
wp2(A;kind(a);Q) Collection(rel())

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

1	19. `r:` `rel()` 20. `r wp2(A;kind(a);Q)` `trace_consistent_rel(rho;A.da;tr.proj;r)`
2	19. `r:` `rel()` `wp2(A;kind(a);Q) Collection(rel())`