Feb 16, 2017 · Can anybody explain me what is the basic difference between theorem, lemma and corollary? We have been using it for a long time but I never paid any attention. I am just …

Oct 25, 2010 · A "Corollary" is a theorem that is usually considered an "easy consequence" of another theorem. What is or is not a corollary is entirely subjective. Sometimes what an author …

Mar 31, 2018 · Axiom, proposition, definition, lemma, theorem, law, corollary Are there clear separations in definitions between all these things or is there a lot of overlap?

Definition: Theorem, Lemma, Proposition, Corollary, Postulate, Statement, Fact, Observation, Expression, Fact, Property, Conjecture and Principle Most of the time a mathematical …

Sep 10, 2015 · Theorem, lemma,corollary seem to be a matter of taste.Some very important results are known as lemmas, e.g. Fodor's Lemma (set theory), Urysohn' Lemma …

6 days ago · Proof of corollary of theorem 7.16 Baby Rudin Ask Question Asked today Modified today

Corollary — a result in which the (usually short) proof relies heavily on a given theorem (we often say that “this is a corollary of Theorem A”). Proposition — a proved and often interesting …

Dec 12, 2025 · Farb & Dennis Corollary to Nakayama's Lemma: When surjectivity modulo J (R) implies surjectivity Ask Question Asked 5 days ago Modified yesterday

Nov 24, 2019 · Alternatively, do I have to give a detailed definition of every concept I want to use in the corollary? My thought is that a corollary and its theorem are understood to be closely …

Nov 19, 2024 · I am trying to understand the proof of this corollary to Gauss's lemma found in Abstract Algebra (Theory and Applications) by Thomas W. Judson. Here is the link to a …