# Null Ring and Ring Itself Subrings

## Theorem

In any ring $R$, the null ring and $R$ itself are subrings of $R$.

### Ring is Subring of Itself

Let $R$ be a ring.

Then $R$ is a subring of itself.

### Null Ring is Subring of Ring

Let $R$ be a ring.

Then the null ring is a subring of $R$.