reserve X for set,
  Y for non empty set;
reserve n for Nat;
reserve r for Real,
  M for non empty MetrSpace;
reserve n for Nat,
  p,q,q1,q2 for Point of TOP-REAL 2,
  r,s1,s2,t1,t2 for Real,
  x,y for Point of Euclid 2;

theorem
  for A being compact Subset of TOP-REAL n, p being Point of TOP-REAL n
  st p in A holds dist(p,A) = 0 by Th39,ZFMISC_1:48;
