Levi's theorem

Levi's theorem states that in certain mathematical structures called operator algebras, if you have a sequence of increasingly large or "bigger" elements (called operators) that are consistent and bounded, then there exists a "limit" operator that represents their collective behavior. Think of it like having a sequence of images getting more detailed; Levi’s theorem guarantees that as your images get more refined, there’s a final, definitive image they approach. This helps mathematicians understand how complex systems behave when approximated by simpler ones, ensuring that their models are well-behaved and predictable.