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Identity Types

Previously: Models of (Dependent) Type Theory. There is a deep connection between mathematics and programming. Computer programs deal with such mathematical objects as numbers, vectors, monoids, fu…

Computer programs deal with such mathematical objects as numbers, vectors, monoids, functors, algebras, and many more. In full generality, should be a dependent type family parameterized by the path as well as its endpoints and : The elimination rule starts with defining a dependent type , which can be modeled as a fibration :

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