A corollary is a statement that follows directly from a previous theorem or proposition with little or no additional proof required. It is typically a result that can be derived as an immediate consequence of a more general or previously proven result.
In simpler terms, a corollary is like a “bonus” result that naturally comes from applying an already established theorem or idea.
For example:
- If we have a theorem like: The sum of two even numbers is always even.
- A corollary could be: The sum of two positive even numbers is always positive.