Lemma — a minor result whose sole purpose is to help in proving a theorem. It is a stepping stone on the path to proving a theorem. It is a stepping stone on the path to proving a …

Theorem vs. Lemma is totally subjective, but typically lemmas are used as components in the proof of a theorem. Propositions are perhaps even weaker, but again, totally subjective. A …

2018年3月31日 · Lemma: a true statement that can be proved (proceeding from other true statements or from the axioms) and that is immediately (or almost immediately) used to prove …

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. …

2015年1月4日 · Hi please view the attachment. I am interested in how Lemma 1.11 is used in the proof of Theorem 2.10. Based on the statement of Lemma 1.11 it seems that in order to use …

It is worth remembering that the Poincare lemma is true on all smooth manifolds, the $\overline{\partial}$-lemma (in which 'exactness' means $\overline{\partial}$(something)) is …

Why do we call the Urysohn lemma a "deep" theorem? Because its proof involves a really original idea, [...] But the Urysohn lemma is on a different level. It would take considerably more …

2020年3月3日 · A proof of Jones lemma. Ask Question Asked 4 years, 11 months ago. Modified 4 years, 11 months ago.

(Side note: I am teaching linear algebra, and I just lectured on the Steinitz Exchange Lemma, with the consequence that every linearly independent subset in a subspace of $\mathbb{R}^n$ is …

2016年8月13日 · $\begingroup$ Actually I think Daniell integral Theorem is the best starting point when taking a second course in real analysis, along with Pratt's Lemma, we can have a more …