theorem Th22: :: RSSPACE4:22

for X being non empty set
for Y being RealNormSpace holds
( R_NormSpace_of_BoundedFunctions (X,Y) is reflexive & R_NormSpace_of_BoundedFunctions (X,Y) is discerning & R_NormSpace_of_BoundedFunctions (X,Y) is RealNormSpace-like ) by Th21;