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Coherence laws when composing 2-monads
These have been well studied, and there are many equivalent formulations of the coherence conditions. …
2
votes
Is there a reasoned derivation of the coherence conditions for symmetric rig categories?
Kelly, Coherence theorems for lax algebras and distributive laws, Lecture Notes in Mathematics 420, Springer Verlag, Berlin, 1974, pp. 281-375.
They may be found in Example 6.11 of that paper. …
3
votes
Strictification for closed monoidal categories
I have not been able to find an explicit reference for this in the literature, so I will sketch a proof here. Steve Lack suggested that one could make use of Mac Lane's proof of strictification for mo …