let E be set ; :: thesis: for A being Subset of (E ^omega)
for n being Nat holds A |^ n c= A *

let A be Subset of (E ^omega); :: thesis: for n being Nat holds A |^ n c= A *
let n be Nat; :: thesis: A |^ n c= A *
A |^ n in { B where B is Subset of (E ^omega) : ex k being Nat st B = A |^ k } ;
hence A |^ n c= A * by ZFMISC_1:74; :: thesis: verum