deffunc H_{1}( Nat, Nat) -> Element of the carrier of X = (((Coef $1) . $2) * (z #N $2)) * (w #N ($1 -' $2));

for n being Nat ex seq being sequence of X st

for k being Nat holds

( ( k <= n implies seq . k = H_{1}(n,k) ) & ( k > n implies seq . k = 0. X ) )
from CLOPBAN4:sch 1();

hence ex b_{1} being sequence of X st

for k being Nat holds

( ( k <= n implies b_{1} . k = (((Coef n) . k) * (z #N k)) * (w #N (n -' k)) ) & ( n < k implies b_{1} . k = 0. X ) )
; :: thesis: verum

for n being Nat ex seq being sequence of X st

for k being Nat holds

( ( k <= n implies seq . k = H

hence ex b

for k being Nat holds

( ( k <= n implies b