let a be Int_position ; :: thesis: for s being State of
for l being Instruction-Location of SCMPDS
for I being Program of holds (s +* (I +* (Start-At l))) . a = s . a
let s be State of ; :: thesis: for l being Instruction-Location of SCMPDS
for I being Program of holds (s +* (I +* (Start-At l))) . a = s . a
let l be Instruction-Location of SCMPDS ; :: thesis: for I being Program of holds (s +* (I +* (Start-At l))) . a = s . a
let I be Program of ; :: thesis: (s +* (I +* (Start-At l))) . a = s . a
not a in dom (I +* (Start-At l)) by SCMPDS_4:61;
hence (s +* (I +* (Start-At l))) . a = s . a by FUNCT_4:12; :: thesis: verum