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pi-clans refactor #145

@Jlh18

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@Jlh18

In the branch clans1, PR #164.
Here is a roadmap for (natural) model semantics in the setting of a pi-clan, if we settle on doing things this way:

Polynomials:

  • use a different version of mathlib (currently in a PR) to generalize some pullback results so that we can define pullback functors without all pullbacks existing on the category
  • refactor the UvPoly results in this pi-clan setting. I will try to write out enough definitions and sorrys for us to continue the rest of the development => Pi-clan polynomials #148

General semantics:

  • define semantics in the setting of pi-clans, starting with a universe in the pi-clan. (done for pis and sigmas) pi-clan refactor general semantics #149
  • refactor the interpretation used in SynthLean to target Ctx with a pi-clan instead of Psh(Ctx)? (should be very easy, and is totally optional)

Groupoids:

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    C-grpdComponent: groupoid modelC-modelComponent: abstract model (natural or unstructured)C-syntaxComponent: typing rules, interpretation functionD-highDifficulty: highI-critImpact: criticalO-polyOther: improvements to Poly

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