Currently strugging to proof the following:
Let f be the Cantor-Function defined as the limit of affine functions (so not the definition with base 3), C the cantor set and $\lambda$ the Lebesgue measure on $\mathbb{R}$.
Show that $$\lambda (f(C)) = 1$$
I have already proven that C is negligible but I don't really know how that helps me in this case.