Satya Benson comments on Natural Latents: Latent Variables Stable Across Ontologies

[Satya Benson]

This was all clear to me, but only from reading the text; my comment is just to say that the graphical statement doesn’t show ${\Lambda }^A$ being a mediator in the premises, so in isolation it gives the wrong idea; this led to a little confusion.

To be clear, I am talking about the reverse direction, as pictured here:

I understand that you have already set up ${\Lambda }^A$ as a mediator immediately above the image. Your text is perfectly clear:

In other words, we want to show: if Alice’ latent ${\Lambda }^A$ satisfies Mediation, and for any latent ${\Lambda }^B$ Bob could choose (i.e. any other mediator) we have ${\Lambda }^A\leftarrow {\Lambda }^B\to {\Lambda }^A$, then Alice’ latent must be natural.