let I be Program of SCM+FSA ; :: thesis: for n being Element of NAT holds IC SCM+FSA in dom (I +* (Start-At (insloc n)))
let n be Element of NAT ; :: thesis: IC SCM+FSA in dom (I +* (Start-At (insloc n)))
dom (Start-At (insloc n)) = {(IC SCM+FSA )} by FUNCOP_1:19;
then IC SCM+FSA in dom (Start-At (insloc n)) by TARSKI:def 1;
hence IC SCM+FSA in dom (I +* (Start-At (insloc n))) by FUNCT_4:13; :: thesis: verum