Research ArticleOpen accessIn the keywordsFormalizing Relations in Type TheoryFarida KachapovaTypetheory plays an important role in the foundations of mathematics as a frameworkfor formalizing mathematics and a base for proof assistants providingsemi-automatic proof checking and construction. Derivation of each theorem intype theory results in a formal term encapsulating the whole proof process.This study uses a variant of type theory, namely the Calculus of Constructionswith Definitions, to formalize the standardtheory of … …Journal of Mathematics and Statistics, Vol. 18, Issue 1 · 29 Oct 2022 · 5,778 accessesView PDFCite