reserve T   for TopSpace,
        A,B for Subset of T;
reserve NT,NTX,NTY for NTopSpace,
        A,B        for Subset of NT,
        O          for open Subset of NT,
        a          for Point of NT,
        XA         for Subset of NTX,
        YB         for Subset of NTY,
        x          for Point of NTX,
        y          for Point of NTY,
        f          for Function of NTX,NTY,
        fc         for continuous Function of NTX,NTY;

theorem
  A misses B implies Int A misses Int B
  proof
    assume
A1: A misses B;
    Int A c= A & Int B c= B by Lm15;
    then Int A /\ Int B c= {} by A1,XBOOLE_1:27;
    hence thesis;
  end;
