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

let n be Element of NAT ; :: thesis: for S being non empty stored-program IC-Ins-separated definite realistic COM-Struct of N
for I being NAT -defined Function holds dom I misses dom (Start-At (n,S))

let S be non empty stored-program IC-Ins-separated definite realistic COM-Struct of N; :: thesis: for I being NAT -defined Function holds dom I misses dom (Start-At (n,S))
let I be NAT -defined Function; :: thesis: dom I misses dom (Start-At (n,S))
A: dom (Start-At (n,S)) misses NAT by Th26;
dom I c= NAT by RELAT_1:def 18;
hence dom I misses dom (Start-At (n,S)) by A, XBOOLE_1:63; :: thesis: verum