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==Overview== In [[mathematics]], a corollary is a theorem connected by a short proof to an existing theorem. The use of the term ''corollary'', rather than ''[[proposition]]'' or ''theorem'', is intrinsically subjective. More formally, proposition ''B'' is a corollary of proposition ''A'', if ''B'' can be readily deduced from ''A'' or is self-evident from its proof. In many cases, a corollary corresponds to a special case of a larger theorem,<ref>{{Cite web|url=https://www.mathwords.com/c/corollary.htm|title=Mathwords: Corollary|website=www.mathwords.com|access-date=2019-11-27}}</ref> which makes the theorem easier to use and apply,<ref>{{Cite web|url=http://mathworld.wolfram.com/Corollary.html|title=Corollary|last=Weisstein|first=Eric W.|website=mathworld.wolfram.com|language=en|access-date=2019-11-27}}</ref> even though its importance is generally considered to be secondary to that of the theorem. In particular, ''B'' is unlikely to be termed a corollary if its mathematical consequences are as significant as those of ''A''. A corollary might have a proof that explains its derivation, even though such a derivation might be considered rather self-evident in some occasions<ref>{{Cite book|url=https://books.google.com/books?id=6WIMAAAAYAAJ&pg=PA260|title=Chambers's Encyclopaedia|date=1864|publisher=Appleton|volume=3|pages=260|language=en}}</ref> (e.g., the [[Pythagorean theorem]] as a corollary of [[law of cosines]]<ref>{{Cite web|url=https://www.mathwords.com/c/corollary.htm|title=Mathwords: Corollary|website=www.mathwords.com|access-date=2019-11-27}}</ref>).
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