At:
wp2 rel correct
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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.
trace_consistent_rel(rho;A.da;tr.proj;r)
10.
single_valued_decls(A.ds)
11.
s: {[[A.ds]] rho}
12.
x': {[[A.ds]] rho}
13.
tc(r;A.ds;dec_lookup(A.da;kind(a));de)
14.
covers_rel(A;r)
15.
p:pre().
p
A.pre

p.kind = kind(a) 
[[p.rel]] rho A.ds dec_lookup(A.da;kind(a)) de e s value(a) niltrace()
16.
ef:eff().
ef
A.eff

ef.kind = kind(a)

x'.ef.smt.lbl = [[ef.smt.term]] 1of(e) s value(a) niltrace()
[[ef.smt.typ]] rho
17.
fr:frame(). fr
A.frame 
(kind(a)
fr.acts) 
x'.fr.var = s.fr.var
[[fr.typ]] rho
18.
x:Label. rel_mentions(r;x) 
covers_var(A;x)
19.
value(a)
[[dec_lookup(A.da;kind(a))]] rho
20.
r@0:rel().
r@0
col_subst2(
x.smts_eff(action_effect(kind(a);A.eff;A.frame);x);r)

[[r@0]] rho A.ds dec_lookup(A.da;kind(a)) de e s value(a) tr
21.
r': rel()
22.
as: (Label
Term) List
23.
1of(unzip(as)) = rel_primed_vars(r)
24.
i:
. i < ||as|| 
2of(as[i])
smts_eff(action_effect(kind(a);A.eff;A.frame);1of(as[i]))
25.
r' = rel_subst2(as;r)
26.
tc(r;A.ds;dec_lookup(A.da;kind(a));de)
27.
i:
||as||
28.
mentions_trace(2of(as[i]))
29.
s1: smt()
30.
e1: eff()
31.
e1
A.eff
32.
e1.kind =
kind(a)
33.
s1 = e1.smt
34.
s1.lbl =
1of(as[i])
35.
2of(as[i]) = s1.term
e:eff(). e
A.eff & mentions_trace(e.smt.term)
By:
InstConcl [e1]
THEN
SubstFor e1.smt 0
THEN
SubstFor s1.term 0
Generated subgoals:
None
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