reserve m,n,i,i2,j for Nat,
  r,r1,r2,s,t for Real,
  x,y,z for object;
reserve p,p1,p2,p3,q,q1,q2,q3,q4 for Point of TOP-REAL n;

theorem Th16:
  for A being Subset of TOP-REAL n holds BDD A c= A`
proof
  let A be Subset of TOP-REAL n;
  reconsider D=BDD A as Subset of (TOP-REAL n) | A` by Th11;
  D c= the carrier of ((TOP-REAL n) | A`);
  hence thesis by PRE_TOPC:8;
end;
