theorem Th5:
for
P being the
InstructionsF of
SCM+FSA -valued ManySortedSet of
NAT for
s being
0 -started State of
SCM+FSA st
s . (intloc 0) = 1 holds
for
a being
Int-Location for
k being
Integer st
aSeq (
a,
k)
c= P &
a <> intloc 0 holds
( ( for
i being
Nat st
i <= len (aSeq (a,k)) holds
(
IC (Comput (P,s,i)) = i & ( for
b being
Int-Location st
b <> a holds
(Comput (P,s,i)) . b = s . b ) & ( for
f being
FinSeq-Location holds
(Comput (P,s,i)) . f = s . f ) ) ) &
(Comput (P,s,(len (aSeq (a,k))))) . a = k )