# Module is Submodule of Itself

## Theorem

Let $\left({G, +_G, \circ}\right)_R$ be an $R$-module.

Then $\left({G, +_G, \circ}\right)_R$ is a submodule of itself.

## Proof

Follows directly from the fact that a group is a subgroup of itself.

$\blacksquare$