At:
tc ioa lemma
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1.
as: (Label
Term) List
2.
u: Label
Term
3.
v: (Label
Term) List
4.
A:ioa{i:l}(), de:sig(), x:Label, t:SimpleType, k:Label.
single_valued_decls(A.ds)

tc_ioa(A;de)

(
i:
. i < ||v|| 
2of(v[i])
smts_eff(action_effect(k;A.eff;A.frame);1of(v[i])))

mk_dec(x, t)
A.ds 
t
term_types(A.ds;dec_lookup(A.da;k);de;apply_alist(v;x;x))
5.
A: ioa{i:l}()
6.
de: sig()
7.
x: Label
8.
t: SimpleType
9.
k: Label
10.
single_valued_decls(A.ds)
11.
tc_pred(A.init;A.ds; < > ;de)
12.
p:pre(). p
A.pre 
tc(p.rel;A.ds;dec_lookup(A.da;p.kind);de)
13.
ef:eff(). ef
A.eff 
mk_dec(ef.kind, ef.typ)
A.da & tc_eff(ef;A.ds;de)
14.
f:frame(). f
A.frame 
mk_dec(f.var, f.typ)
A.ds
15.
i:
. i < ||[u / v]|| 
2of([u / v][i])
smts_eff(action_effect(k;A.eff;A.frame);1of([u / v][i]))
16.
mk_dec(x, t)
A.ds
17.
1of(u) =
x
18.
s: smt()
19.
f: frame()
20.
f
A.frame
21.

k
f.acts
22.
s = mk_smt(f.var, f.var, f.typ)
23.
s.lbl =
x
24.
2of(u) = s.term
25.
1of(u) = x
t
dec_lookup(A.ds;f.var)
By:
RWW "member_dec_lookup" 0
Generated subgoal:
1 | mk_dec(f.var, t) A.ds |
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