Quotient_Group_of_Reals_by_Integers_is_Circle_Group_v2

Let $\struct {\Z, +}$ be the additive group of integers. Let $\struct {\R, +}$ be the additive group of real numbers. Let $K$ be the circle group. Then the quotient group of $\struct {\R, +}$ by $\struct {\Z, +}$ is isomorphic to $K$.