sentence: Some theorems are trivial, they directly follow from the propositions.
sentences_after: Sometimes, such proofs involve other areas of matematics or show connections between different areas. A theorem might be simple to state and yet be deep. An excellent example is Fermat's Last Theorem, and there are many other examples of simple yet deep theorems in number theory and combinatorics, among other areas.
concept_name: theorem
headings: Theorem
categories: Mathematics