let D, D', E be non empty set ; :: thesis: for d' being Element of D'
for F being Function of [:D,D':],E holds F [:] (<*> D),d' = <*> E
let d' be Element of D'; :: thesis: for F being Function of [:D,D':],E holds F [:] (<*> D),d' = <*> E
let F be Function of [:D,D':],E; :: thesis: F [:] (<*> D),d' = <*> E
reconsider r = F [:] (<*> D),d' as FinSequence of E by Th97;
len (<*> D) = 0 ;
then len r = 0 by Th98;
hence F [:] (<*> D),d' = <*> E ; :: thesis: verum