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
m <= n
; (A ?) |^ (m,n) = A |^ (0,n)
hence (A ?) |^ (m,n) =
(A ?) |^ (0,n)
by Th96
.=
A |^ (0,n)
by Th97
;
verum