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corollary

corollary

1 8.7
A statement that follows directly from a proved rule or theorem
  • noun
  • /kəˈrɑːləri/
  • Specialized
translation icon : corolario
  • Thus, a corollary of detailed balance that holds even away from equilibrium is
  • corollary discharge

So let's start some set of corollaries to this theorem.

Examples

  • If, as the aphorism suggests, "mass follows class," then the corollary must be that "class goes elsewhere."

    Academic text (1994)
  • According to Corollary 1, successful intergroup discrimination may lead to an increase in self-esteem; according to Corollary 2, low or threatened self-esteem may motivate increased intergroup discrimination.

    Academic text (2001)
  • So we did this connection showing how to use this corollary to prove Roz's theorem.

  • The principle of state sovereignty, along with its corollaries, is still a fairly solid cornerstone of international law.

    Academic text (1994)
  • However, support for Abrams and Hogg's two corollaries has been mixed.

    Academic text (2001)
  • As Cherryl Walker concludes, "For the planners of apartheid, the logical corollary of 'women's place in the home' was 'women's place in the homelands.'"

    Academic text (1998)
  • Just as the proclamation was a corollary to the Treaty of 1763, the Treaty of Pensacola functioned as a corollary to the Treaty of 1783, establishing a relationship between the Creeks and Spain that provided for economic trade and military protection.

    Academic text (2008)
  • The corollary of the main theorem is often used to derive new results in mathematics.

  • In this discussion, we outlined the corollary that emerges from our initial findings.

  • The researcher presented a corollary that followed logically from their earlier conclusions.

Synonyms

sequitur
vscorollary
12 8.9

A statement that clearly follows from what was said before

is limited to propositions that follow directly from a proven theorem
entailment
vscorollary
8.6

A result that follows from something said or done

is narrower and applies only to propositions that follow directly from a proven theorem

Surface Forms

corollary singular
corollaries plural

Morphology

corollary = coroll + ary

The formation involves the Latin-derived suffix '-ary' but the stem is not a recognisable English base, so the logical/mathematical sense is not predictable from component parts for most learners.

Etymology

Corollary comes from the Latin corollarium, originally a 'small gift' from corolla 'little crown'. In math a corollary is like a 'small result' or extra fact that 'crowns' a proven theorem, because it follows directly from that main statement.