At:
wp correctness
1
2
2
1
3
1.
A: ioa{i:l}()
2.
de: sig()
3.
tc_ioa(A;de)
4.
ioa_mentions_trace(A)
5.
Q: Fmla
6.
rho: Decl
7.
e: {[[de]] rho}
8.
a: [[A]] rho de e.action
9.
tr: trace_env([[A.da]] rho)
10.
tc_ioa(A;de)
11.
ioa_mentions_trace(A)
12.
trace_consistent_pred(rho;A.da;tr.proj;Q)
13.
single_valued_decls(A.ds)
14.
s: [[A]] rho de e.state
15.
x': [[A]] rho de e.state
16.
tc_pred(Q;A.ds; < > ;de)
17.
closed_pred(Q)
18.
covers_pred(A;Q)
19.
[[A]] rho de e.trans(s,a,x')
20.
pred_mng_2((Q)'; rho; A.ds; < > ; de; e; s; x'; 
; tr)
[[wp2(A;kind(a);(Q)')]] rho A.ds dec_lookup(A.da;kind(a)) de e s value(a) tr
21.
pred_mng_2((Q)'; rho; A.ds; < > ; de; e; s; x'; ; tr
) 
[[wp2(A;kind(a);(Q)')]] rho A.ds dec_lookup(A.da;kind(a)) de e s value(a) tr
22.
[[wp2(A;kind(a);(Q)')]] rho A.ds dec_lookup(A.da;kind(a)) de e s value(a) tr 
Prop
23.
pred_mng_2((Q)'; rho; A.ds; < > ; de; e; s; x'; ; tr) Prop
tc_pred(wp(A;kind(a);Q);A.ds;dec_lookup(A.da;kind(a));de)
By:
BackThru
Thm* 
A:ioa{i:l}(), Q:Fmla, de:sig(), a:Label. tc_ioa(A;de) single_valued_decls(A.ds) tc_pred(Q;A.ds;dec_lookup(A.da;a);de) tc_pred(wp(A;a;Q);A.ds;dec_lookup(A.da;a);de)
THEN
Easy
Generated subgoals:
None
About:
