lemmas

A lemma is a proven statement or fact used as a building block within a larger argument or proof. Think of it as a supporting piece of knowledge that helps establish a bigger idea. Instead of proving the entire main idea from scratch each time, mathematicians or researchers prove smaller, useful truths (lemmas), which they then use to make their overall argument stronger and easier to follow. In essence, lemmas are tools or stepping stones that simplify complex proofs by breaking them into manageable, confirmed parts.