A literate formalization of categories with families in cubical agda.

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CwFs

A literate formalization of categories with families in 1Lab cubical agda.

Goals

Defining \mathcal Fam
Defining CwFs
Defining extra structure for CwFs
- \prod
- \sum
- \mathcal U
- Id
Defining categories of various CwFs
- Is there a good way to define a category of CwFs with arbitrary extra structure?
Proving a few basic initiality results

The 1Lab can be a bit stingy with which Agda version to use, so I’ve listed the commits used for both the 1Lab and Agda.