Nuprl - Pf rel effect lemma 1 1 2 2 1

(40steps) PrintForm Definitions Lemmas mb automata 4 Sections GenAutomata Doc

1. A: ioa{i:l}()
2. rho: Decl
3. de: sig()
4. act: ([[A.da]] rho)
5. r: rel()
6. r0: rel()
7. tc_ioa(A;de)
8. as: (LabelTerm) List
9. 1of(unzip(as)) = rel_vars(r0)
10. i:. i < ||as|| 2of(as[i]) smts_eff(action_effect(kind(act);A.eff;A.frame);1of(as[i]))
11. r = rel_subst(as;r0)
12. rel_eq(rel_unprime(r);rel_unprime(r0))
13. 2of(unzip(as)) = map(x.x;1of(unzip(as)))
14. i:
15. i < ||as||
16. 2of(as[i]) = 1of(as[i])
17. 2of(as[i]) smts_eff(action_effect(kind(act);A.eff;A.frame);1of(as[i]))

t:dec(). t A.da & t.lbl = kind(act)

By: Unfolds [`smts_eff`;`action_effect`] -1 THEN Unfold `smt_terms` -1 THEN RWW "member_col_map" -1 THEN RWW "member_col_filter" -1 THEN RWW "member_col_add" -1 THEN RWW "member_col_map" -1 THEN RWW "member_col_filter" -1

Generated subgoal:

1 17. s:smt(). (e:eff(). e A.eff & e.kind = kind(act) & s = e.smt) (f:frame(). f A.frame & kind(act) f.acts & s = mk_smt(f.var, f.var, f.typ)) & s.lbl = 1of(as[i]) & 2of(as[i]) = s.term
t:dec(). t A.da & t.lbl = kind(act)

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(40steps) PrintForm Definitions Lemmas mb automata 4 Sections GenAutomata Doc