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

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At: covers pred lemma2 1 2 1 1 1 1 2 2 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. t:Term. (x rel_primed_vars(r)) t smts_eff(action_effect(a;A.eff;A.frame);x)
8. f: LabelTerm
9. x:Label. (x rel_primed_vars(r)) f(x) smts_eff(action_effect(a;A.eff;A.frame);x)
10. i:
11. i < ||zip(rel_primed_vars(r);map(f;rel_primed_vars(r)))||

2of(zip(rel_primed_vars(r);map(f;rel_primed_vars(r)))[i]) smts_eff(action_effect(a;A.eff;...);...)

By: Assert (i < ||rel_primed_vars(r)||) THEN Try ((RWO "length_zip" -1) THEN (RWO "map_length_nat" 0)) THEN RWO "select_zip" 0 THEN Reduce 0 THEN RWO "map_select" 0 THEN Try (BackThruSomeHyp THEN (Unfold `l_member` 0) THEN (InstConcl [i]))

Generated subgoals:

None

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