let R be good Ring; :: thesis: for a, b being Data-Location of R
for il being Instruction-Location of SCM R holds NIC (MultBy a,b),il = {(Next il)}
let a, b be Data-Location of R; :: thesis: for il being Instruction-Location of SCM R holds NIC (MultBy a,b),il = {(Next il)}
let il be Instruction-Location of SCM R; :: thesis: NIC (MultBy a,b),il = {(Next il)}
set i = MultBy a,b;
for s being State of (SCM R) st IC s = il & s . il = MultBy a,b holds
(Exec (MultBy a,b),s) . (IC (SCM R)) = Next (IC s) by SCMRING2:16;
hence NIC (MultBy a,b),il = {(Next il)} by Lm5; :: thesis: verum