We present a version of the enriched Yoneda lemma for conventional (not $\infty$-) categories. We do not require the base monoidal category M to be closed or symmetric monoidal. In the case M has colimits and the monoidal structure in M preserves colimits in each argument, we prove that the Yoneda embedding A to P_M(A) is a universal functor from A to a category with colimits, left-tensored over M.
Keywords: enriched categories, Yoneda embedding, left-tensored categories
2010 MSC: 18D20
Theory and Applications of Categories, Vol. 31, 2016, No. 29, pp 833-838.