possible typo: in previous lectures we've defined profunctors as \\(\mathcal{V}\\)-enriched functors \\(\mathcal{X}^\text{op}\times\mathcal{Y}\rightarrow\mathcal{V}\\) but here we're using \\(\mathcal{X}\times\mathcal{Y}^\text{op}\rightarrow\mathcal{V}\\) – is this a mistake or are we swapping round for a reason?