theorem Th74: :: TOPGEN_5:74

( { [.0,a.[ where a is Real : ( 0 < a & a <= 1 ) } \/ { ].a,1.] where a is Real : ( 0 <= a & a < 1 ) } ) \/ { ].a,b.[ where a, b is Real : ( 0 <= a & a < b & b <= 1 ) } is Basis of I[01]