(34steps) PrintForm Definitions Lemmas mb automata 4 Sections GenAutomata Doc

At: wp rel correctness 2 1
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; < > ;de)
15. closed_rel(r)
16. covers_rel(A;r)
17. [[A]] rho de e.trans(s,a,x')
18. [[r]] rho A.ds < > de e x' tr [[wp(A;kind(a);r)]] rho A.ds dec_lookup(A.da;kind(a)) de e s value(a) tr

[[r]] rho A.ds < > de e x' tr Prop & [[r]] rho A.ds < > de e x' tr Prop & [[wp(A;kind(a);r)]] rho A.ds dec_lookup(A.da;kind(a)) de e s value(a) tr Prop & [[wp_rel(A;kind(a);r)]] rho A.ds dec_lookup(A.da;kind(a)) de e s value(a) tr Prop
By:
Auto
THEN
TrivialIoaHyp
THEN
Try (Reduce 0)
THEN
Try (Unfold `decl` 0)
THEN
Try (BackThru Thm* v:Top, rho:Decl. v [[ < > ]] rho)
THEN
Try ((Unfold `ioa_mng` 0) THEN (Reduce 0) THEN Trivial)
Generated subgoals:

118. [[r]] rho A.ds < > de e x' tr [[wp(A;kind(a);r)]] rho A.ds dec_lookup(A.da;kind(a)) de e s value(a) tr
19. [[r]] rho A.ds < > de e x' tr [[wp(A;kind(a);r)]] rho A.ds dec_lookup(A.da;...) de e s ... tr
trace_consistent_pred(rho;A.da;tr.proj;r)
218. [[r]] rho A.ds < > de e x' tr [[wp(A;kind(a);r)]] rho A.ds dec_lookup(A.da;kind(a)) de e s value(a) tr
19. [[r]] rho A.ds < > de e x' tr [[wp(A;kind(a);r)]] rho A.ds dec_lookup(A.da;...) de e s ... tr
tc_pred(r;A.ds; < > ;de)
318. [[r]] rho A.ds < > de e x' tr [[wp(A;kind(a);r)]] rho A.ds dec_lookup(A.da;kind(a)) de e s value(a) tr
19. [[r]] rho A.ds < > de e x' tr [[wp(A;kind(a);r)]] rho A.ds dec_lookup(A.da;...) de e s ... tr
value(a) [[dec_lookup(A.da;kind(a))]] rho
418. [[r]] rho A.ds < > de e x' tr [[wp(A;kind(a);r)]] rho A.ds dec_lookup(A.da;kind(a)) de e s value(a) tr
19. [[r]] rho A.ds < > de e x' tr [[wp(A;kind(a);r)]] rho A.ds dec_lookup(A.da;...) de e s ... tr
trace_consistent_pred(rho;A.da;tr.proj;wp(A;kind(a);r))
518. [[r]] rho A.ds < > de e x' tr [[wp(A;kind(a);r)]] rho A.ds dec_lookup(A.da;kind(a)) de e s value(a) tr
19. [[r]] rho A.ds < > de e x' tr [[wp(A;kind(a);r)]] rho A.ds dec_lookup(A.da;...) de e s ... tr
tc_pred(wp(A;kind(a);r);A.ds;dec_lookup(A.da;kind(a));de)
618. [[r]] rho A.ds < > de e x' tr [[wp(A;kind(a);r)]] rho A.ds dec_lookup(A.da;kind(a)) de e s value(a) tr
19. [[r]] rho A.ds < > de e x' tr [[wp(A;kind(a);r)]] rho A.ds dec_lookup(A.da;...) de e s ... tr
value(a) [[dec_lookup(A.da;kind(a))]] rho
718. [[r]] rho A.ds < > de e x' tr [[wp(A;kind(a);r)]] rho A.ds dec_lookup(A.da;kind(a)) de e s value(a) tr
19. [[r]] rho A.ds < > de e x' tr [[wp(A;kind(a);r)]] rho A.ds dec_lookup(A.da;...) de e s ... tr
trace_consistent_pred(rho;A.da;tr.proj;wp_rel(A;kind(a);r))
818. [[r]] rho A.ds < > de e x' tr [[wp(A;kind(a);r)]] rho A.ds dec_lookup(A.da;kind(a)) de e s value(a) tr
19. [[r]] rho A.ds < > de e x' tr [[wp(A;kind(a);r)]] rho A.ds dec_lookup(A.da;...) de e s ... tr
tc_pred(wp_rel(A;kind(a);r);A.ds;dec_lookup(A.da;kind(a));de)

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(34steps) PrintForm Definitions Lemmas mb automata 4 Sections GenAutomata Doc