let s be SCM+FSA-State; :: thesis: for t being Element of SCM+FSA-Data-Loc
for u being Integer holds (SCM+FSA-Chg (s,t,u)) . t = u
let t be Element of SCM+FSA-Data-Loc ; :: thesis: for u being Integer holds (SCM+FSA-Chg (s,t,u)) . t = u
let u be Integer; :: thesis: (SCM+FSA-Chg (s,t,u)) . t = u
t in dom (t .--> u) by TARSKI:def 1;
hence (SCM+FSA-Chg (s,t,u)) . t = (t .--> u) . t by FUNCT_4:13
.= u by FUNCOP_1:72 ;
:: thesis: verum