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

let S be non empty stored-program IC-Ins-separated definite realistic COM-Struct of N; :: thesis: for l being Element of NAT holds IC S in dom (Start-At l,S)
let l be Element of NAT ; :: thesis: IC S in dom (Start-At l,S)
dom (Start-At l,S) = {(IC S)} by FUNCOP_1:19;
hence IC S in dom (Start-At l,S) by TARSKI:def 1; :: thesis: verum