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 …

Lemma：一种比较小的定理，通常lemma的提出是为了来逐步辅助证明Theorem，有时候可以将Theorem拆分成多个小的Lemma来逐步证明，以使得证明的思路更加清晰。 很少情况 …

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

As per title, what is a "lemma"? How is it different from "theorem"? ASAIK, I have to prove a self-proposed theorem in my paper. Do I also have to provide the proof for a self-proposed lemma?

On its own, Fatou's Lemma is not so remarkable, and it quickly becomes a minor routine step in very major and fundamental theorems in real analysis -- this is why it is itself a lemma, not a …

Apr 23, 2015 · Lemma : Lemma contains some information that is commonly used to support a theorem. So, a Lemma introduces a Theorem and comes before that Theorem. The …

Lemma - technical result used in the proof of the theorem, which is claimed as original and proved, but the main interest in which lies its use in the proof of one or more theorems. …

Oct 9, 2021 · This is an important lemma, so I would like to give it a detailed attempt of how such hypothesis is necessary for the lemma to hold. Could you confirm if my understanding is fine? …

To provide a few links to threads on this site: Can someone explain the Yoneda Lemma to an applied mathematician?, Yoneda Lemma as generalization of Cayley's theorem, Yoneda …

Mar 22, 2013 · What you say your text calls the Exchange Lemma is precisely this numerical consequence. In practice, it is the numerical consequence which is so incredibly useful in …