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types.md

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hott.types

Types in Martin-Lӧf Type Theory:

The number systems (num, nat, int, ...) are for a large part ported from the standard libary.

Types in HoTT:

  • eq: show that functions related to the identity type are equivalences
  • pointed: pointed types, pointed maps, pointed homotopies, pointed equivalences and pointed truncated types
  • fiber
  • equiv
  • trunc: truncation levels, n-types, truncation
  • pullback
  • univ
  • type_functor
  • pointed2: equalities between pointed homotopies, squares of poitned maps and pointed homotopies, and pointed maps in or out of ppmap A B