:: deftheorem Def4 defines Out_\_Inp AMISTD_4:def 4 :
for N being with_zero set
for A being non empty with_non-empty_values IC-Ins-separated AMI-Struct over N
for I being Instruction of A
for b₄ being Subset of A holds
( b₄ = Out_\_Inp I iff for o being Object of A holds
( o in b₄ iff for s being State of A
for a being Element of Values o holds Exec (I,s) = Exec (I,(s +* (o,a))) ) );