reserve S for Subset of TOP-REAL 2,
  C,C1,C2 for non empty compact Subset of TOP-REAL 2,
  p,q for Point of TOP-REAL 2;
reserve i,j,k for Nat,
  t,r1,r2,s1,s2 for Real;

theorem Th22:
  S-bound C <= N-bound C
proof
A1: W-min C in C by Th13;
  then
A2: (W-min C)`2 <= N-bound C by PSCOMP_1:24;
  S-bound C <= (W-min C)`2 by A1,PSCOMP_1:24;
  hence thesis by A2,XXREAL_0:2;
end;
