# Definitions for **corollary**ˈkɔr əˌlɛr i, ˈkɒr-; esp. Brit., kəˈrɒl ə ri

### This page provides all possible meanings and translations of the word **corollary**

### Random House Webster's College Dictionary

cor•ol•lar•yˈkɔr əˌlɛr i, ˈkɒr-; esp. Brit., kəˈrɒl ə ri(n.)(pl.)-lar•ies.

Math. a proposition incidentally proved in proving another proposition.

**Category:**Mathan immediate consequence or easily drawn conclusion.

a natural consequence or result.

#### Origin of **corollary**:

1325–75; < LL corollārium corollary, in L: money paid for a garland, gratuity. See corolla , -ary

### Princeton's WordNet

corollary(noun)

a practical consequence that follows naturally

"blind jealousy is a frequent corollary of passionate love"

corollary(noun)

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

### Wiktionary

corollary(Noun)

Something given beyond what is actually due; something added or superfluous.

corollary(Noun)

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.

corollary(Noun)

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.

### Webster Dictionary

Corollary(noun)

that which is given beyond what is actually due, as a garland of flowers in addition to wages; surplus; something added or superfluous

Corollary(noun)

something which follows from the demonstration of a proposition; an additional inference or deduction from a demonstrated proposition; a consequence

### Freebase

Corollary

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

# Translation

#### Find a translation for the **corollary** definition in other languages:

Select another language:

#### Discuss these corollary definitions with the community:

# Citation

## Use the citation below to add this definition to your bibliography:

"corollary." *Definitions.net.* STANDS4 LLC, 2014. Web. 22 Aug. 2014. <http://www.definitions.net/definition/corollary>.