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corollary

UK/kɒˈɹɒləɹi/US/ˈkɔɹəˌlɛɹi/
nounC2Rare in speech; mostly a word you read · #13,020 of 15,258leans written

Other forms: corollaries

A corollary is something that follows immediately from what is proved. A natural corollary, the corollary is, as a corollary.

In mathematics it is a formal category: a corollary needs no separate proof because the theorem has already done the work. In ordinary use it means a consequence that follows without further argument. Note that the Latin corollarium meant a garland given as a tip — something thrown in on top.

Definitions of corollary

  1. 1nouncorollarySomething that follows immediately from what is proved.C2

    “Once the main theorem was proved, the corollary followed in just two lines.”

corollary is a consequence.

Remember it

The Latin corolla is a small garland, handed out free on top of the main prize. A corollary is the extra that comes automatically once the main thing is already true.

hooks ontogarland

Where it comes from

Latin corollarium meant a garland or a gratuity, from corolla, a small garland. Crown and corona come from the same circle.

  1. Latin

    corōllārium — money paid for a garland; gift, gratuity, corollary; consequence, deduction

  2. English, today

    corollary

Built from

  • corōlla · Latin — small garland
  • corōna · Latin — crown

From Middle English -, from Latin corōllārium (“money paid for a garland; gift, gratuity, corollary; consequence, deduction”), from corōlla (“small garland”), diminutive of corōna (“crown”).

Etymology from Wiktionary, CC BY-SA

Practised in Logic & Argument

Practise this word

corollary in the wild

  • In mathematics and logic, a corollary is a proposition which can be readily deduced from a previous, already proven proposition.

    Corollary

  • The Olney interpretation (also known as the Olney corollary or Olney declaration) was United States Secretary of State Richard Olney's interpretation of the Monroe Doctrine.

    Olney interpretation

  • The Lodge Corollary was a corollary to the Monroe Doctrine.

    Lodge Corollary

  • The theorem is a corollary of the homotopy excision theorem.

    Freudenthal suspension theorem

  • In the case of pure quantum states, it is a corollary of the no-cloning theorem.

    No-broadcasting theorem

1 / 2

From Wikipedia, CC BY-SA 4.0. These sentences were written by other people about their own subjects; they are here to show the word at work, not as anybody’s opinion.

Related words

the corōna family

crown

corollary — used about once every 18,318 pages · #13,020 · point at the bar for the others