# Dictionary Definition

corollary

### Noun

1 a practical consequence that follows naturally;
"blind jealousy is a frequent corollary of passionate love"

2 (logic) an inference that follows directly from
the proof of another proposition

# User Contributed Dictionary

## English

### Etymology

From Latin corollarium meaning "deduction, consequence", originally "money paid for a garland," hence "gift, gratuity, something extra." From Latin corolla "small garland", diminutive of corona "crown."### Noun

- Something given beyond what is actually due; something added or superfluous.
- Something which occurs a fortiori, as
a result of another effort without significant additional effort.
- Finally getting that cracked window fixed was a nice corollary of redoing the whole storefont.

- A proposition
which follows easily from the proof of another proposition.
- We have proven that this set is finite and well ordered. As a corollary, we now know that there is an order-preserving map from it to the natural numbers.

# Extensive Definition

A corollary is a statement which follows readily
from a previously proven statement. In mathematics a corollary
typically follows a theorem. The use of the term
corollary, rather than proposition or theorem, is intrinsically
subjective. Proposition A is a corollary of proposition B if A can
readily be deduced from B, but the meaning of readily varies
depending upon the author and context. The importance of the
corollary is often considered secondary to that of the initial
theorem; A is unlikely to be termed a corollary if its mathematical
consequences are as significant as those of B. Sometimes a
corollary has a proof that explains the derivation; sometimes the
derivation is considered to be self-evident.

## See also

corollary in Arabic: البديهيه

corollary in German: Korollar

corollary in Japanese: 結果

corollary in Italian: corollario

corollary in French: corollaire

corollary in Portuguese: Corolário

corollary in Russian: Следствие

corollary in Serbian: Короларије

corollary in Swedish: Följdsats

# Synonyms, Antonyms and Related Words

accession, accessory, accompaniment, addenda, addendum, additament, addition, additive, additory, additum, adjunct, adjuvant, aftereffect, annex, annexation, appanage, appendage, appendant, appurtenance, appurtenant, attachment, attendant, augment, augmentation, by-product,
coda, complement, conclusion, concomitant, consequence, consequent, continuation, deduction, derivation, derivative, development, distillate, effect, end product, event, eventuality, eventuation, extension, extrapolation, fixture, fruit, harvest, illation, increase, increment, induction, inference, issue, legacy, logical outcome, offshoot, offspring, outcome, outgrowth, pendant, precipitate, product, reinforcement, result, resultant, sequel, sequela, sequence, sequent, side effect, side
issue, supplement,
tailpiece, undergirding, upshot