let a be Int_position ; :: thesis: for l being Instruction-Location of SCMPDS
for k1, k2 being Integer holds NIC (a,k1 := k2),l = {(Next l)}
let l be Instruction-Location of SCMPDS ; :: thesis: for k1, k2 being Integer holds NIC (a,k1 := k2),l = {(Next l)}
let k1, k2 be Integer; :: thesis: NIC (a,k1 := k2),l = {(Next l)}
set i = a,k1 := k2;
for s being State of SCMPDS st IC s = l & s . l = a,k1 := k2 holds
(Exec (a,k1 := k2),s) . (IC SCMPDS ) = Next (IC s) by SCMPDS_2:58;
hence NIC (a,k1 := k2),l = {(Next l)} by Th12; :: thesis: verum