  Given a fibre space $X/S$ with the generic geometric fibre of Kodaira
dimension $\geq 0$, we shall construct a variety $Y$ ramified over $X$ along
such a horizontal hyperplane with respect to $X/S$ that Koll\'ar and Kawamata
had proved Viehweg conjecture for $Y/S$ with the generic geometric fibre of
general type or of the abundant canonical invertible sheaf where Viehweg
dimensions of $X/S$ and $Y/S$ are equal, respectively. We shall show that
Viehweg dimension of $X/S$ is not greater than that of $Y/S$ by Mochizuki's
Galois theory.
