Let $U \subseteq \mathbb{C}$ be a D5008: Standard open complex set such that

(i)	$f : U \to \mathbb{C}$ is a D4881: Complex function on $U$

A D4881: Complex function $F : U \to \mathbb{C}$ on $U$ is a primitive for $f$ on $U$ if and only if

(1)	$F$ is a D1392: Holomorphic function on $U$
(2)	\begin{equation} \forall \, z \in U : F'(z) = f(z) \end{equation}