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Computing Id on eliminators

Open mikeshulman opened this issue 3 years ago • 0 comments

Since Id doesn't reduce to the first component of ap, it should have all the same computation rules as the latter (as should the other pieces of IdU: tr, lift, etc.). The only cases when this is possible is for eliminators, like function application, projection, induction, etc. But those are important to achieve definitional Id-naturality in the object-language.

  • [x] function application
  • [ ] projections
  • [ ] sum case
  • [ ] bool case
  • [ ] nat ind
  • [ ] int case

mikeshulman avatar Jul 08 '22 07:07 mikeshulman