let D, D9, E be non empty set ; for d being Element of D
for F being Function of [:D,D9:],E
for T9 being Tuple of 0 ,D9 holds F [;] (d,T9) = <*> E
let d be Element of D; for F being Function of [:D,D9:],E
for T9 being Tuple of 0 ,D9 holds F [;] (d,T9) = <*> E
let F be Function of [:D,D9:],E; for T9 being Tuple of 0 ,D9 holds F [;] (d,T9) = <*> E
let T9 be Tuple of 0 ,D9; F [;] (d,T9) = <*> E
T9 = <*> D9
;
hence
F [;] (d,T9) = <*> E
by FINSEQ_2:79; verum