theorem Th11:
for
F being
NAT -defined the
InstructionsF of
SCM -valued total Function for
k,
n being
Element of
NAT for
s being
State of
SCM for
a being
Data-Location for
il being
Element of
NAT st
IC (Comput (F,s,k)) = n &
F . n = a >0_goto il holds
( (
(Comput (F,s,k)) . a > 0 implies
IC (Comput (F,s,(k + 1))) = il ) & (
(Comput (F,s,k)) . a <= 0 implies
IC (Comput (F,s,(k + 1))) = n + 1 ) & ( for
d being
Data-Location holds
(Comput (F,s,(k + 1))) . d = (Comput (F,s,k)) . d ) )