let D9, D, E be non empty set ; :: thesis: for d9 being Element of D9
for F being Function of [:D,D9:],E
for T being Tuple of 0 ,D holds F [:] (T,d9) = <*> E
let d9 be Element of D9; :: thesis: for F being Function of [:D,D9:],E
for T being Tuple of 0 ,D holds F [:] (T,d9) = <*> E
let F be Function of [:D,D9:],E; :: thesis: for T being Tuple of 0 ,D holds F [:] (T,d9) = <*> E
let T be Tuple of 0 ,D; :: thesis: F [:] (T,d9) = <*> E
T = <*> D ;
hence F [:] (T,d9) = <*> E by FINSEQ_2:85; :: thesis: verum