let X, Y be RealNormSpace; :: thesis: the carrier of X --> (0. Y) = 0. (R_NormSpace_of_BoundedLinearOperators (X,Y))
the carrier of X --> (0. Y) = 0. (R_VectorSpace_of_BoundedLinearOperators (X,Y)) by Th26
.= 0. (R_NormSpace_of_BoundedLinearOperators (X,Y)) ;
hence the carrier of X --> (0. Y) = 0. (R_NormSpace_of_BoundedLinearOperators (X,Y)) ; :: thesis: verum