let E be set ; :: thesis: for A being Subset of (E ^omega)
for m, n being Nat st m <= n & n > 0 holds
(A *) |^ (m,n) = A *
let A be Subset of (E ^omega); :: thesis: for m, n being Nat st m <= n & n > 0 holds
(A *) |^ (m,n) = A *
let m, n be Nat; :: thesis: ( m <= n & n > 0 implies (A *) |^ (m,n) = A * )
assume that
A1: m <= n and
A2: n > 0 ; :: thesis: (A *) |^ (m,n) = A *
<%> E in A * by FLANG_1:48;
hence (A *) |^ (m,n) = (A *) |^ n by A1, Th34
.= A * by A2, FLANG_1:66 ;
:: thesis: verum