Quotient Ring by Null Ideal

Theorem
Let $\left({R, +, \circ}\right)$ be a ring whose zero is $0_R$.

Let $\left({\left\{{0_R}\right\}, +, \circ}\right)$ be the Null Ideal of $\left({R, +, \circ}\right)$.

Let $\left({R / \left\{{0_R}\right\}, +, \circ}\right)$ be the quotient ring of $R$ defined by $\left\{{0_R}\right\}$.

Then $\left({R / \left\{{0_R}\right\}, +, \circ}\right)$ is isomorphic to $\left({R, +, \circ}\right)$.