Strictification
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In mathematics, specifically in category theory, a strictification refers to statements of the form “every weak structure of some sort is equivalent to a stricter one.” Such a result was first proven for monoidal categories by Mac Lane, and it is often possible to derive strictifications from coherence results and vice versa.
Monoidal category
- Every monoidal category is monoidally equivalent to a strict monoidal category.[1] This is (essentially) the Mac Lane coherence theorem.