reserve P for Subset of TOP-REAL 2,
  f,f1,f2,g for FinSequence of TOP-REAL 2,
  p,p1,p2,q,q1,q2 for Point of TOP-REAL 2,
  r1,r2,r19,r29 for Real,
  i,j,k,n for Nat;

theorem
  |[ r1,r2 ]| = |[ r19,r29 ]| implies r1 = r19 & r2 = r29 by FINSEQ_1:77;
