The Habicht’s theorem contains two results: the relationship between a single subresultant polynomial
of two univariate polynomials and the pseudo-remainder of its adjacent ones, and the relationship between
a single subresultant polynomial and the subresultant polynomial of its adjacent ones. Following up the
previous work on the generalization of the first result by Hong and Yang, this paper generalizes the second result to
several polynomials and revealed that a subresultant polynomial of several univariate polynomials with
higher order can be reduced to that of subresultant polynomials with lower orders.