let a be Int_position ; :: thesis: for l being Instruction-Location of SCMPDS
for k1 being Integer holds NIC (a := k1),l = {(Next l)}
let l be Instruction-Location of SCMPDS ; :: thesis: for k1 being Integer holds NIC (a := k1),l = {(Next l)}
let k1 be Integer; :: thesis: NIC (a := k1),l = {(Next l)}
set i = a := k1;
for s being State of SCMPDS st IC s = l & s . l = a := k1 holds
(Exec (a := k1),s) . (IC SCMPDS ) = Next (IC s) by SCMPDS_2:57;
hence NIC (a := k1),l = {(Next l)} by Th12; :: thesis: verum