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kim-em/lean-monoidal-categories

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Archived, this repository is obsolete!

The entire contents have long ago become part of Mathlib.


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This repository contains some experimental work on monoidal categories, developed in the interactive theorem prover Lean.

It depends on the Lean category theory library available at https://github.com/semorrison/lean-category-theory.

To download dependencies and compile, just run leanpkg build.

Projects

  • transporting structures along equivalences: e.g. given an equivalence of categories, transport a monoidal structure?

  • define Day convolution: the monoidal structure on FunctorCategory C D when D is monoidal.

  • is this known: a monoidal structure on monoidal functors from C to D when D is braided?

  • enriched categories!

  • additive categories, additive envelopes

  • closed monoidal categories

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