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Results on Central Groupoids #492

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Results on Central Groupoids #492

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b-mehta
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@b-mehta b-mehta commented Oct 10, 2024

Closes https://leanprover.zulipchat.com/#narrow/stream/458659-Equational/topic/Central.20groupoids.

This PR contains a number of results on central groupoids and natural central groupoids.

This is a draft PR.

  • Ensure that @zaklogician's work is not destroyed here - probably the simplest way is to move that file to NonnaturalCentralGroupoids.lean
  • Give an example of an implication that reduction can disprove
  • Add a module doc which more clearly highlights the key results here

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zaklogician commented Oct 11, 2024

This is very nice work. Re point 1: would same file but separate namespace be a viable solution? I think it'd avoid cluttering up the main equational_theories directory, and keep everything about central groupoids in one location.

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b-mehta commented Oct 11, 2024

Unfortunately not, the imports I need from mathlib clash with some of your results

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CENTRAL_GROUPOID: Prove Theorem 5.9 (natural central groupoid axiom)
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