let C be non empty compact Subset of (TOP-REAL 2); :: thesis: ( E-min C in C & E-max C in C )
A1: E-min C in E-most C by PSCOMP_1:50;
A2: E-max C in E-most C by PSCOMP_1:50;
E-most C c= C by XBOOLE_1:17;
hence ( E-min C in C & E-max C in C ) by A1, A2; :: thesis: verum