Editing Liouville's theorem (complex analysis) (section)

== Statement ==
<blockquote>'''Liouville's theorem:''' Every [[holomorphic function]] <math>f:\mathbb C \to \mathbb C</math> for which there exists a positive number <math>M</math> such that <math>|f(z)| \leq M</math> for all <math>z\in\Complex</math> is [[constant function|constant]].</blockquote>

More succinctly, Liouville's theorem states that every bounded entire function must be constant.