:: deftheorem Def10 defines lower AMI_WSTD:def 10 :
for N being with_zero set
for S being non empty with_non-empty_values IC-Ins-separated AMI-Struct over N
for F being NAT -defined the InstructionsF of b₂ -valued finite Function holds
( F is lower iff for l being Element of NAT st l in dom F holds
for m being Element of NAT st m <= l,S holds
m in dom F );