1. A conclusion derived through logic; inference
2. Something produced by a cause or necessarily following from a set of conditions
3. Importance with respect to power to produce an effect
4. Social importance
5. The appearance of importance; especially; self-importance

ETYM Latin corollarium gift, corollary, from corolla. Related to Corolla.
1. A practical consequence that follows naturally.
2. (Logic) An inference that follows directly from the proof of another proposition.