Corollary: meaning, definitions and examples

mathematics, logic

A corollary is a statement that follows readily from a previous statement or proposition that has been proven. It is often considered an easy or obvious consequence that requires little additional proof because it is logically derived from established results. Corollaries provide insight and additional information about the original statement, and they are frequently used in mathematical and logical contexts. For example, if a theorem is proved, a corollary can be easily inferred from that theorem without extensive additional research.

consequence, implication, outcome, result

Examples of usage

• The triangle inequality is a corollary of the properties of absolute values.

• From the theorem, we can derive a corollary that simplifies our calculations.

• The corollary states that with the assumptions made, the following must also be true.