corollarys
A corollary is a proposition that follows directly from a theorem or another proposition, often serving as a natural consequence or special case. In mathematics, logic, and other formal systems, corollaries are frequently used to extend the implications of established results without requiring additional proof, as their validity is inherently tied to the original theorem. They are typically presented as immediate consequences, often providing additional insights or applications of the primary result.
Corollaries are distinct from theorems in that they do not stand alone as independent statements but derive
In formal logic, corollaries are sometimes referred to as "immediate consequences" or "special cases." They are
The distinction between a corollary and a lemma is sometimes subtle. Lemmas are auxiliary propositions used