Corollary (noun)

1. A proposition that follows from one already proven or assumed.
2. A consequence or an implication that follows logically from a previous statement.

Origin:

From latin corollarium, from corolla (small crown), from coronare (to crown).

Examples:

1. The corollary of the theorem was that the sum of the interior angles of a triangle is 180 degrees.
2. The corollary of lower interest rates is usually increased borrowing and spending.
3. The corollary to this argument is that the government should invest more in education.
4. The corollary of increased efficiency is lower costs.
5. The corollary of the definition was that the circle is a set of points that are equidistant from a center point.