This chapter discusses a short text fragment from Zucker's “Real Analysis”. It contains a formalization of the theory of real numbers, functions, continuity, differentiation, ending with the definition of the exponential function as a power series, and the proof that this function is its own derivative. It aims to give an impression of how mathematics, also of a more advanced level, can be
... [Show full abstract] written, and has actually been written, in a flexible Automath language like AUT–П. It is written in AUT–П, a variant of Automath developed by Zucker, which contains explicit product types, sum types, and disjoint sums of types. An informal introduction, written with the aim of providing the background that is needed for an understanding of the formal text and of some syntactical conventions, and comment on the particular way in which Zucker deals with the syntax is provided. The chapter also provides a short account of some relevant parts of the text Real Analysis that precedes the fragment, on the basis of which it is possible to give a synopsis of the fragment. Some introductory remarks with an overview of some more identifiers that are used but not defined in the fragment are also examined.
