let s be SCM-State; :: thesis: for t being Element of SCM-Data-Loc
for u being Integer
for v being Element of NAT holds (SCM-Chg (s,t,u)) . v = s . v
let t be Element of SCM-Data-Loc ; :: thesis: for u being Integer
for v being Element of NAT holds (SCM-Chg (s,t,u)) . v = s . v
let u be Integer; :: thesis: for v being Element of NAT holds (SCM-Chg (s,t,u)) . v = s . v
let v be Element of NAT ; :: thesis: (SCM-Chg (s,t,u)) . v = s . v
( SCM-OK . v = SCM-Instr & {t} = dom (t .--> u) ) by Th9, FUNCOP_1:19;
then not v in dom (t .--> u) by Th6, Th8;
hence (SCM-Chg (s,t,u)) . v = s . v by FUNCT_4:12; :: thesis: verum