Homotopy Type Theory
identity type > history (Rev #8)
Idea
The identity type has elements that are witnesses to the βsamenessβ of elements.
Definition
In Martin-Loef type theory
The identity type can be defined as the inductive type? with the following constructor:
- for any , an element
In cubical type theory
In higher observational type theory
Identity types have the following formation rule
See also
References
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