Axiom:Points are Between Themselves

Axiom
Let $a$ and $b$ be points.

Let $\mathsf{B}$ be the relation of betweenness.

Let $=$ be the relation of equality.

Then the following axiom is imposed:


 * $\forall a,b: a = b \implies \mathsf{B}aba $

Intuition
If two points are the same, they are between themselves.