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Hi, in 2-vector space, before Vect-enriched categories, it says:
In analogy to how a vector space $W$ (a $k$-module) is equipped with a basis by finding a set $S$ such that $W \simeq [S,k]$, we can think of a general monoidal category module $W$ over $V$ to be equipped with a basis by providing an equivalence $W \simeq [C,V]$, for some $V$-category $V$.
Posibly in the end itâ€™s meant a $V$-category $C$.
Corrected; thanks.
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