let X be RealNormSpace; :: thesis: for Y being RealBanachSpace holds R_NormSpace_of_BoundedLinearOperators (X,Y) is RealBanachSpace
let Y be RealBanachSpace; :: thesis: R_NormSpace_of_BoundedLinearOperators (X,Y) is RealBanachSpace
for seq being sequence of (R_NormSpace_of_BoundedLinearOperators (X,Y)) st seq is CCauchy holds
seq is convergent by Th48;
hence R_NormSpace_of_BoundedLinearOperators (X,Y) is RealBanachSpace by Def16; :: thesis: verum