let E be set ; for A being Subset of (E ^omega )
for m, n being Nat st m <= n holds
(A ? ) |^ m,n = (A ? ) |^ 0 ,n
let A be Subset of (E ^omega ); for m, n being Nat st m <= n holds
(A ? ) |^ m,n = (A ? ) |^ 0 ,n
let m, n be Nat; ( m <= n implies (A ? ) |^ m,n = (A ? ) |^ 0 ,n )
assume A1:
m <= n
; (A ? ) |^ m,n = (A ? ) |^ 0 ,n
<%> E in A ?
by Th78;
hence
(A ? ) |^ m,n = (A ? ) |^ 0 ,n
by A1, Th72; verum