Nuprl - Pf vc trace correctness 1 1

(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. s: [[A]] rho de e.state
17. tr: [[A]] rho de e.action List

[[I]] rho A.ds < > de e s mk_trace_env(tr, te) Prop

By: Assert (mk_trace_env(tr, te) trace_env([[A.da]] rho)) THEN Reduce 0 THEN AllHyps (h.(Unfold `ioa_mng` h) THEN (Reduce h) THEN Trivial)

Generated subgoal:

1 18. mk_trace_env(tr, te) trace_env([[A.da]] rho)
[[ < > ]] rho

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