cwfs/README.md

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

Dependencies

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.

• 1Lab@504cf7594c9fd7a4afb103d6fce3665cd3d994c3
• Agda@52467b24fd0670168b2dd8855e9b8d25227e78b9