Several other metrization theorems follow as simple corollaries to Urysohn's theorem. Hilbert's basis theorem has some immediate corollaries. Noether's second theorem are corollaries of this variational formula. Several corollaries are immediate from the theorem. It contains 11 propositions, labelled as 'theorems' and 'problems', some with corollaries. Sometimes, corollaries have proofs of their own that explain why they follow from the theorem. The defect relation is one of the main corollaries from the Second Fundamental Theorem. There are a number of generalizations (some of which are immediate corollaries). The graphic accentuation and punctuation systems are added as corollaries. According to Krashen, there are three corollaries to his theory. The notion of a completely waterless Mediterranean Sea has some corollaries. Burke also explores three corollaries to his initial thesis. There may be corollaries to this argument. Each of Prus' three "laws" entails important corollaries. Further research is necessary to discover the genetic corollaries to delayed gratification.