At:
tc ioa lemma
2
1
1
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_ioa(A;de)
12.
i:
. i < ||[u / v]|| 
2of([u / v][i])
smts_eff(action_effect(k;A.eff;A.frame);1of([u / v][i]))
13.
mk_dec(x, t)
A.ds
apply_alist([u / v];x;x) ~ if 1of(u) =
x
2of(u) else apply_alist(v;x;x) fi
By:
BackThru
Thm*
as:(Label
T) List, p:(Label
T), l:Label, d:T. apply_alist([p / as];l;d) ~ if 1of(p) =
l
2of(p) else apply_alist(as;l;d) fi
Generated subgoals:
None
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