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]] rho de e.state
12.
x': [[A]] rho de e.state
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.
rel_mng_2(r; rho; A.ds; dec_lookup(A.da;kind(a)); de; e; s; x'; value(a); tr)
19.
r@0: rel()
20.
as: (Label
Term) List
21.
1of(unzip(as)) = rel_primed_vars(r)
22.
i:
. i < ||as|| 2of(as[i]) (
x.smts_eff(action_effect(kind(a);A.eff;A.frame);x))(1of(as[i]))
23.
r@0 = rel_subst2(as;r)
24.
value(a) [[dec_lookup(A.da;kind(a))]] rho
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i: ||as||
26.
mentions_trace(2of(as[i]))
27.
s1: smt()
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e1: eff()
29.
e1 A.eff
30.
e1.kind =
kind(a)
31.
s1 = e1.smt
32.
s1.lbl = 1of(as[i])
33.
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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