Nuprl - Pf vc trace correctness 1 3 2 1 2

(51steps) PrintForm Definitions Lemmas mb automata 4 Sections GenAutomata Doc

1. A: ioa{i:l}()
2. I: Fmla
3. rho: Decl
4. de: sig()
5. e: {[[de]] rho}
6. te: LabelLabel
7. tc_ioa(A;de)
8. ioa_mentions_trace(A)
9. trace_consistent_pred(rho;A.da;te;I)
10. guarded_trace(A.da;te;I)
11. tc_pred(I;A.ds; < > ;de)
12. covers_pred(A;I)
13. closed_pred(I)
14. single_valued_decls(A.ds)
15. s:[[A]] rho de e.state, tr:([[A.da]] rho) List. ([[A]] rho de e -tr- > s) [[VCs(A;I)]] rho A.ds A.da de e s mk_trace_env(tr, te)
16. s0: [[A]] rho de e.state
17. x: [[A]] rho de e.state
18. act: [[A]] rho de e.action
19. x': [[A]] rho de e.state
20. l: [[A]] rho de e.action List
21. [[A]] rho de e.init(s0)
22. trace_reachable([[A]] rho de e;s0;l;x)
23. mk_trace_env(l, te) trace_env([[A.da]] rho)
24. [[I]] rho A.ds < > de e x mk_trace_env(l, te)
25. [[A]] rho de e.trans(x,act,x')
26. l ([[A.da]] rho) List

[[I]] rho A.ds < > de e x' mk_trace_env(l @ [act], te)

By: AllHyps (i.(InstHyp [x;l] i) THEN (Thin i))

Generated subgoals:

1 ([[A]] rho de e -l- > x)

2 15. s0: [[A]] rho de e.state
16. x: [[A]] rho de e.state
17. act: [[A]] rho de e.action
18. x': [[A]] rho de e.state
19. l: [[A]] rho de e.action List
20. [[A]] rho de e.init(s0)
21. trace_reachable([[A]] rho de e;s0;l;x)
22. mk_trace_env(l, te) trace_env([[A.da]] rho)
23. [[I]] rho A.ds < > de e x mk_trace_env(l, te)
24. [[A]] rho de e.trans(x,act,x')
25. l ([[A.da]] rho) List
26. [[VCs(A;I)]] rho A.ds A.da de e x mk_trace_env(l, te)
[[I]] rho A.ds < > de e x' mk_trace_env(l @ [act], te)

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(51steps) PrintForm Definitions Lemmas mb automata 4 Sections GenAutomata Doc