theorem :: FINSEQ_2:82

for D, D9, E being non empty set
for d being Element of D
for d19, d29, d39 being Element of D9
for F being Function of [:D,D9:],E
for p being FinSequence of D9 st p = <*d19,d29,d39*> holds
F [;] (d,p) = <*(F . (d,d19)),(F . (d,d29)),(F . (d,d39))*>