WebAn environment called corollary is created, the counter of this new environment will be reset every time a new theorem environment is used. \newtheorem {lemma} [theorem] {Lemma} In this case, the even though a new environment called lemma is created, it will use the same counter as the theorem environment. WebJan 16, 2024 · corollary (plural corollaries) . A gift beyond what is actually due; an addition or superfluity.; An a fortiori occurrence, as a result of another effort without significant additional effort. Finally getting that cracked window fixed was a nice corollary of redoing the whole storefront. (mathematics, logic) A proposition which follows easily from the …

Natural corollary definition and meaning - Collins Dictionary

WebFeb 18, 2024 · The term corollary is used to refer to a theorem that is easily proven once some other theorem has been proven. Example 3.2.4 Suppose we have proved the "Even Product Theorem": The product of any two even integers is an even integer. WebA statement that follows with little or no proof required from an already proven statement. For example, it is a theorem in geometry that the angles opposite two congruent sides of … soft front hard back

Corollary Definition (Illustrated Mathematics Dictionary)

WebCorollary A consequence or result that can be logically drawn from the existence of a set of facts by the exercise of common sense and reason. West's Encyclopedia of American Law, edition 2. Copyright 2008 The Gale Group, Inc. All … WebSynonyms for COROLLARY: result, outcome, consequence, resultant, implication, upshot, product, effect; Antonyms of COROLLARY: reason, factor, cause, basis, consideration, … WebA corollary is a result very used in geometry to indicate an immediate result of something already demonstrated. Usually, in geometry the corollaries appear after the proof of a theorem. Because it is a direct result of a theorem already demonstrated or a definition already known, the corollaries do not require proof. soft front carrier