Nuprl - Pf effect_subst_mentions

(7steps) PrintForm Definitions mb automata 3 Sections GenAutomata Doc

1. A: ioa{i:l}()
2. as: (LabelTerm) List
3. k: Label
4. i:. i < ||as|| 2of(as[i]) smts_eff(action_effect(k;A.eff;A.frame);1of(as[i]))
5. i: ||as||
6. mentions_trace(2of(as[i]))
7. s: smt()
8. s action_effect(k;A.eff;A.frame)
9. s.lbl = 1of(as[i])
10. 2of(as[i]) = s.term

e:eff(). e A.eff & mentions_trace(e.smt.term)

By: Unfold `action_effect` -3 THEN RW ColMemberC -3 THEN Analyze -3

Generated subgoals:

1 8. e:eff(). e A.eff & e.kind = k & s = e.smt
9. s.lbl = 1of(as[i])
10. 2of(as[i]) = s.term
e:eff(). e A.eff & mentions_trace(e.smt.term)

2 8. f:frame(). f A.frame & k f.acts & s = mk_smt(f.var, f.var, f.typ)
9. s.lbl = 1of(as[i])
10. 2of(as[i]) = s.term
e:eff(). e A.eff & mentions_trace(e.smt.term)

About:

(7steps) PrintForm Definitions mb automata 3 Sections GenAutomata Doc

1	8. `e:eff(). e A.eff & e.kind = k & s = e.smt` 9. `s.lbl = 1of(as[i])` 10. `2of(as[i]) = s.term` `e:eff(). e A.eff & mentions_trace(e.smt.term)`
2	8. `f:frame(). f A.frame & k f.acts & s = mk_smt(f.var, f.var, f.typ)` 9. `s.lbl = 1of(as[i])` 10. `2of(as[i]) = s.term` `e:eff(). e A.eff & mentions_trace(e.smt.term)`