Homotopy Type Theory
dependent type (Rev #1, changes)

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A dependent type is a family of types indexed by - “depending on” - values of another type.

Given a type AA in a universe of types 𝒰\mathcal{U}, a dependent product type (or ‘pi-type’) BB is a family of types:

Π (a:A)B(a)\Pi_{(a:A)}B(a)

Similarly, a dependent sum type (or ‘sigma-type’) BB is a family of types:

Σ (a:A)B(a)\Sigma_{(a:A)}B(a)

Revision on May 9, 2014 at 21:56:20 by Alexis Hazell?. See the history of this page for a list of all contributions to it.