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