In mathematics , a corollary is a theorem connected by a short proof to an existing theorem. 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,  which makes the theorem easier to use and apply,  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  e. Charles Sanders Peirce held that the most important division of kinds of deductive reasoning is that between corollarial and theorematic. He argued that while all deduction ultimately depends in one way or another on mental experimentation on schemata or diagrams,  in corollarial deduction:.
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To save this word, you'll need to log in. You can think of a corollary as a "bonus" that follows from the proof of something else. The broader modern sense, "something that naturally follows," evolved from the philosophical one. Examples of corollary in a Sentence one corollary of the rise of television was a massive makeover of radio's programming increased taxes—or expanding deficits—are the inevitable corollary to any new government spending program Recent Examples on the Web The corollary to fatigue is the loss of self-control. Send us feedback.
Increasingly, sex and its corollary , romantic love, were seen as a healthy part of a relationship. The corollary being, if she slacks off, even a teensy bit, anything that goes wrong is her fault. For, said this unhappy wight, increase the weight and the corollary is length increased. The corollary is that tired feeling which must have sorely tried the tyros or young recruits. Some authors give this as a basal problem, although it is more commonly given as an exercise or a corollary. The corollary was not evident; but the mention of the name brought Mildred back to the ordinary world. Individual private property was a corollary of liberty and hence law was not thinkable without it.