A corollary in mathematics is a statement that can easily be proved from the previous statement.
Content
Overview
In mathematics , the corollary is a theorem with a small proof, which follows from another theorem [1] . The use of the term consequence instead of “ statement ” or “theorem ” is subjective.
Statement B is a consequence of statement A, if B can be easily deduced from A. The corollary is, as a rule, secondary to the main theorem; if the investigation plays a large role, then it is unlikely to be called a consequence.
See also
- Lemma (math)
Notes
- ↑ Wolfram, Stephen. A new kind of science . - Champaign, IL: Wolfram Media, 2002 .-- xiv, 1197 pages p. - ISBN 1579550088 , 9781579550080, 071399116X, 9780713991161.
Links
- Eric W. Weisstein. Corollary mathworld.wolfram.com. Accessed August 26, 2019. From MathWorld - A Wolfram Web Resource. http://mathworld.wolfram.com/Corollary.html
- William and Robert Chambers. Chambers's Encyclopaedia: A Dictionary of Universal Knowledge for the People .... - Appleton, 1864. - T. 3. - S. 260. - 842 p.