# Ideal of Unit is Whole Ring/Corollary

## Corollary to Ideal of Unit is Whole Ring

Let $\struct {R, +, \circ}$ be a ring with unity.

Let $J$ be an ideal of $R$.

If $J$ contains the unity of $R$, then $J = R$.

## Proof

Follows directly from Ideal of Unit is Whole Ring and Unity is Unit.

$\blacksquare$