# Definition:Terminal Object

## Definition

Let $\mathbf C$ be a metacategory.

A terminal object of $\mathbf C$ is an object $1 \in \mathbf C_0$ of $\mathbf C$ such that:

For all $C \in \mathbf C_0$, there is a unique morphism $C \to 1$.

## Also known as

A terminal object is also known as a final object.