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

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