
theorem Th30:
  the carrier of I(01) = (the carrier of I[01]) \ {0,1}
proof
A1: [.0,1.] = ].0,1.[ \/ {0,1} by XXREAL_1:128;
  the carrier of I(01) = ]. 0,1 .[ by Def1;
  hence thesis by A1,BORSUK_1:40,XBOOLE_1:88,XXREAL_1:86;
end;
