Nuprl - Pf wp2 rel correct 4 2

(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. tc_pred(wp2(A;kind(a);r);A.ds;dec_lookup(A.da;kind(a));de)

tc_pred(wp2_rel(A;kind(a);r);A.ds;dec_lookup(A.da;kind(a));de)

By: Unfolds [`wp2`;`pred_rel`] -1 THEN Fold `wp2_rel` -1 THEN All (Unfold `tc_pred`) THEN All (RW ColMemberC) THEN Try (Fold `pred` 0) THEN BackThruSomeHyp

Generated subgoal:

1 17. r@0:rel(). (r@1:rel(). r@1 = r & r@0 wp2_rel(A;kind(a);r@1)) tc(r@0;A.ds;dec_lookup(A.da;kind(a));de)
18. r@0: rel()
19. r@0 wp2_rel(A;kind(a);r)
r@1:rel(). r@1 = r & r@0 wp2_rel(A;kind(a);r@1)

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