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