Nuprl - Pf covers_pred_lemma2 1 2 1 1 1 1 1 2 1 2

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At: covers pred lemma2 1 2 1 1 1 1 1 2 1 2

1. r: rel()
2. I: Collection(rel())
3. A: ioa{i:l}()
4. a: Label
5. r I
6. x:Label. (x rel_vars(r)) covers_var(A;x)
7. x: Label
8. (x rel_primed_vars(r))
9. fr: frame()
10. fr < fr A.frame | fr.var = x >
11. a:Label. (a fr.acts) (ef:eff(). ef < ef A.eff | ef.kind = a & ef.smt.lbl = x > )

t:Term. (x rel_primed_vars(r)) t smts_eff(action_effect(a;A.eff;A.frame);x)

By: Unfolds [`smts_eff`] 0 THEN Unfold `smt_terms` 0 THEN All (RW ColMemberC) THEN RepD

Generated subgoal:

1 10. fr A.frame
11. fr.var = x
12. a:Label. (a fr.acts) (ef:eff(). ef A.eff & ef.kind = a & ef.smt.lbl = x)
t:Term. (x rel_primed_vars(r)) (s:smt(). s action_effect(a;A.eff;A.frame) & s.lbl = x & t = s.term)

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(36steps) PrintForm Definitions Lemmas mb automata 3 Sections GenAutomata Doc