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Glite Dictionary
📐 A helper theorem 📖 A headword 🌾 A grass bract 🔤 A base form
lemma

lemma

1 9.8
A short statement used to help prove a larger result
  • noun
  • /ˈlɛmə/
  • Specialized
translation icon : lema
  • In order to solve Problem 4, we still need to introduce the following lemma. Here, we omit its proof.
  • the following lemma
  • apply the lemma
  • conditions of the lemma

There's going to be some theorem, some proposition, some lemma that's been proven or, or or done in that section that's going to help you through it.

Examples

  • The following lemma establishes a simple sufficient condition for quadratic feedback stabilizability in continuous time. Lemma 5.

    Academic text (2010)

  • According to Shephard's Lemma, the revenue functions of the three input factors can be derived. For the capital inputs, we have:

    Academic text (1990)

  • We require the following lemma from probability theory.

    Academic text (1994)

  • The following lemma proves to be of use in our analyses of randomized caching algorithms in subsequent sections.

    Academic text (1994)

  • The proof of the theorem relies on a previously established lemma that simplifies the calculations.

  • To progress in the literature review, we first acknowledge an important lemma in the field of algebraic geometry.

  • In our discussion of mathematical logic, the lemma serves as a crucial stepping stone to the main theorem.

Surface Forms

lemma singular
lemmas plural

Etymology

Lemma comes from an old Greek verb lambanein meaning 'to take', used for a short point 'taken' out of a longer argument. So in mathematics a lemma is a small proposition you 'take' or use to help prove a larger theorem.