Let $X$ be a smooth projective variety over the complex numbers, $D$ a divisor with normal crossings, and consider the bundle of log one-forms on ($X$,$D$). I will explain a slightly simpler proof for the following theorem by Campana and Paun: If some tensor power of the bundle of log one-forms on ($X$,$D$) contains a subsheaf with big determinant, then ($X$,$D$) is of log general type. This result is a key step in the recent proof of Viehweg’s conjecture about families of canonically polarized manifolds.