An Inversion Formula for Multivariate Power Series

For formal multivariate power series $\phi (x)$ an inversion formula of the form $${\phi }^{-1}(x)=x+\sum _{m=1}^{\mathrm{\infty }}\sum _{k=0}^m(-1{)}^k(mk){\phi }^{\circ k}(x)isoffered\text{.}$$