Set of Submodules of Module is Complete Lattice

Theorem
Let $R$ be a ring.

Let $\struct {G, +_G}$ be an abelian group.

Let $M = \struct {G, +, \circ}_R$ be an $R$-module.

Ordered by $\subseteq$, the set of all submodules of $M$ is a complete lattice.