set A = KurExSet ;
( not 5 in {1} & not 5 in RAT (2,4) ) by BORSUK_5:29, TARSKI:def 1;
then ( not 5 in ].4,5.[ & not 5 in {1} \/ (RAT (2,4)) ) by XBOOLE_0:def 3, XXREAL_1:4;
then A1: ( not 5 in ].5,+infty.[ & not 5 in ({1} \/ (RAT (2,4))) \/ ].4,5.[ ) by XBOOLE_0:def 3, XXREAL_1:235;
5 in [.2,+infty.[ by XXREAL_1:236;
then 5 in Cl KurExSet by Th10, XBOOLE_0:def 3;
hence Cl KurExSet <> KurExSet by A1, XBOOLE_0:def 3; :: thesis: verum