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feat(category_theory/monoidal): define a monoidal structure on the tensor product functor of a braided monoidal category #13034

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@manzyuk manzyuk commented Mar 29, 2022

Given a braided monoidal category C, equip its tensor product functor, viewed as a functor from C × C to C with a strength that turns it into a monoidal functor.

See #13033 for a discussion of the motivation of this definition.


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@manzyuk manzyuk requested a review from semorrison March 29, 2022 14:00
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…nsor product functor of a braided monoidal category (#13150)

Given a braided monoidal category `C`, equip its tensor product functor, viewed as a functor from `C × C` to `C` with a strength that turns it into a monoidal functor.

See #13033 for a discussion of the motivation of this definition.

(This PR replaces #13034 which was accidentally closed.)



Co-authored-by: Scott Morrison <scott.morrison@gmail.com>
Co-authored-by: Scott Morrison <scott@tqft.net>
Co-authored-by: yuma-mizuno <mizuno.y.aj@gmail.com>
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