Determine Whether Each of the Following "Theorems" Is True or False

True/False

determine whether each of the following "theorems" is true or false. Assume that a, b, c,
d, and m are integers with m > 1.
- $$\text { If } a \equiv b ( \bmod m ) \text {, then } a \equiv b ( \bmod 2 m ) \text {. }$$