Nuprl - Pf wp2 rel correct 3 1

(73steps) PrintForm Definitions Lemmas mb automata 4 Sections GenAutomata Doc

1. A: ioa{i:l}()
2. r: rel()
3. rho: Decl
4. de: sig()
5. e: {[[de]] rho}
6. a: ([[A.da]] rho)
7. tr: trace_env([[A.da]] rho)
8. tc_ioa(A;de)
9. ioa_mentions_trace(A)
10. trace_consistent_rel(rho;A.da;tr.proj;r)
11. single_valued_decls(A.ds)
12. s: [[A]] rho de e.state
13. x': [[A]] rho de e.state
14. tc(r;A.ds;dec_lookup(A.da;kind(a));de)
15. covers_rel(A;r)
16. [[A]] rho de e.trans(s,a,x')
17. r@0: rel()
18. r@0 col_subst2(x.smts_eff(action_effect(kind(a);A.eff;A.frame);x);r)

trace_consistent_rel(rho;A.da;tr.proj;r@0)

By: RWO "member_col_subst2" -1 THEN ExRepD THEN HypSubstSq -1 0 THEN BackThru Thm* r:rel(), as:(LabelTerm) List, daa:Collection(dec()), rho:Decl, te:(LabelLabel). trace_consistent_rel(rho;daa;te;r) subst_mentions_trace(as) trace_consistent_rel(rho;daa;te;rel_subst2(as;r))

Generated subgoal:

1 18. as: (LabelTerm) List
19. 1of(unzip(as)) = rel_primed_vars(r)
20. i:. i < ||as|| 2of(as[i]) (x.smts_eff(action_effect(kind(a);A.eff;A.frame);x))(1of(as[i]))
21. r@0 = rel_subst2(as;r)
subst_mentions_trace(as)

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(73steps) PrintForm Definitions Lemmas mb automata 4 Sections GenAutomata Doc