Show the relation "$\leq$" on $\mathbb{R}$ is a total order.

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How can I show that the partial relation "$\leq$" on $\mathbb{R}$ is a total order. It seems obvious to me, but I cannot argue that.

Can you show this result for real numbers?

At a first step, assume that $\mathbb{R}$ is partially ordered. How can I prove that the set of real numbers is totally ordered?