let G be non empty 1-sorted ; :: thesis: for s being SCM-State of G
for u being natural Number
for mk being Element of SCM-Data-Loc holds (SCM-Chg (s,u)) . mk = s . mk
let s be SCM-State of G; :: thesis: for u being natural Number
for mk being Element of SCM-Data-Loc holds (SCM-Chg (s,u)) . mk = s . mk
let u be natural Number ; :: thesis: for mk being Element of SCM-Data-Loc holds (SCM-Chg (s,u)) . mk = s . mk
let mk be Element of SCM-Data-Loc ; :: thesis: (SCM-Chg (s,u)) . mk = s . mk
NAT in SCM-Memory by AMI_2:22;
then ( SCM-OK . NAT = 0 & SCM-OK . mk = 1 ) by AMI_2:def 4;
then not mk in dom (NAT .--> u) by TARSKI:def 1;
hence (SCM-Chg (s,u)) . mk = s . mk by FUNCT_4:11; :: thesis: verum