Nuprl - Pf tc ioa lemma 2 1 2 1 1 1 1 1

(30steps) PrintForm Definitions Lemmas mb automata 4 Sections GenAutomata Doc

At: tc ioa lemma 2 1 2 1 1 1 1 1

1. as: (LabelTerm) List
2. u: LabelTerm
3. v: (LabelTerm) List
4. A:ioa{i:l}(), de:sig(), x:Label, t:SimpleType, k:Label. single_valued_decls(A.ds) tc_ioa(A;de) (i:. i < ||v|| 2of(v[i]) smts_eff(action_effect(k;A.eff;A.frame);1of(v[i]))) mk_dec(x, t) A.ds t term_types(A.ds;dec_lookup(A.da;k);de;apply_alist(v;x;x))
5. A: ioa{i:l}()
6. de: sig()
7. x: Label
8. t: SimpleType
9. k: Label
10. single_valued_decls(A.ds)
11. tc_ioa(A;de)
12. i:. i < ||[u / v]|| 2of([u / v][i]) smts_eff(action_effect(k;A.eff;A.frame);1of([u / v][i]))
13. mk_dec(x, t) A.ds
14. 1of(u) = x
15. 2of(u) smts_eff(action_effect(k;A.eff;A.frame);x)
16. 1of(u) = x

t term_types(A.ds;dec_lookup(A.da;k);de;2of(u))

By: Unfolds [`smts_eff`;`action_effect`] -2 THEN Unfold `smt_terms` -2 THEN RW ColMemberC -2 THEN ExRepD

Generated subgoal:

1 15. s: smt()
16. (e:eff(). e A.eff & e.kind = k & s = e.smt) (f:frame(). f A.frame & k f.acts & s = mk_smt(f.var, f.var, f.typ))
17. s.lbl = x
18. 2of(u) = s.term
19. 1of(u) = x
t term_types(A.ds;dec_lookup(A.da;k);de;2of(u))

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(30steps) PrintForm Definitions Lemmas mb automata 4 Sections GenAutomata Doc