let X be RealNormSpace-Sequence; for Y being RealNormSpace
for f being Lipschitzian MultilinearOperator of X,Y holds modetrans (f,X,Y) = f
let Y be RealNormSpace; for f being Lipschitzian MultilinearOperator of X,Y holds modetrans (f,X,Y) = f
let f be Lipschitzian MultilinearOperator of X,Y; modetrans (f,X,Y) = f
f in BoundedMultilinearOperators (X,Y)
by Def9;
hence
modetrans (f,X,Y) = f
by Def11; verum