let D', D, E be non empty set ; :: thesis: for i being Nat
for F being Function of [:D,D':],E
for T' being Element of i -tuples_on D'
for T being Element of 0 -tuples_on D holds F .: T,T' = <*> E
let i be Nat; :: thesis: for F being Function of [:D,D':],E
for T' being Element of i -tuples_on D'
for T being Element of 0 -tuples_on D holds F .: T,T' = <*> E
let F be Function of [:D,D':],E; :: thesis: for T' being Element of i -tuples_on D'
for T being Element of 0 -tuples_on D holds F .: T,T' = <*> E
let T' be Element of i -tuples_on D'; :: thesis: for T being Element of 0 -tuples_on D holds F .: T,T' = <*> E
let T be Element of 0 -tuples_on D; :: thesis: F .: T,T' = <*> E
T = <*> D
by FINSEQ_2:113;
hence
F .: T,T' = <*> E
by FINSEQ_2:87; :: thesis: verum