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