A lemma is a proven statement used as a tool to prove another statement. There is no restriction on its size.
A Hypothesis is something that you set out to test to prove or disprove. A Lemma is something that has already been proved that you use to help prove something else.
Used to prove uniqueness of solutions in ODE problems
Theorem: A mathematical statement that is proved using rigorous mathematical reasoning. In a mathematical paper, the term theorem is often reserved for the most important results. Lemma: A minor result whose sole purpose is to help in proving a theorem. It is a stepping stone on the path to prove a theorem. The distinction is rather arbitrary since one mathematician's major is another's minor claim. Very occasionally lemmas can take on a life of their own (Zorn's lemma, Urysohn's lemma, Burnside's lemma, Sperner's lemma).
This usually means the upcoming lemma is an adaption of a previous lemma to a mathematical object related to the one in the first lemma.
The plural of "lemma" is "lemmas" or "lemmata".
An example of a lemma in mathematics is the triangle inequality, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Lemmas are used as stepping stones to prove more complex theorems.
Daniel Lemma was born in 1972.
Mengistu Lemma died in 1988.
Mengistu Lemma was born in 1924.
Aklilu Lemma died in 1997.
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