let N be non empty with_non-empty_elements set ; :: thesis: for S being non empty stored-program halting IC-Ins-separated definite realistic AMI-Struct of N
for l being Element of NAT holds IC (Start-At l,S) = l

let S be non empty stored-program halting IC-Ins-separated definite realistic AMI-Struct of N; :: thesis: for l being Element of NAT holds IC (Start-At l,S) = l
let l be Element of NAT ; :: thesis: IC (Start-At l,S) = l
thus IC (Start-At l,S) = (Start-At l,S) . (IC S)
.= l by FUNCOP_1:87 ; :: thesis: verum