Template:Arithmetic function direct product lower bound

{{quotation|This article gives a lower bound on the value of the arithmetic function {{{arithmetic function}}} of an   in terms of the values for the direct factors. It says that the value for the direct product is bounded from below by the {{{numerical operation}}} of the values for the direct factors. {{view facts|{{{arithmetic function}}}}} {{view facts|external direct product}}} {{view facts|{{{numerical operation}}}}}}}