Condescending, empathising or 'let us reason together' "we"

What is the term for the condescending usage of "we" that essentially means "you"? For example, when talking to a child, you might say "we need to be on our best behavior." A slight variant could be the instructive tone commonly found in mathematical proofs, e.g. "we see from (xxx) that (yyy), which tells us that (zzz)..."

I thought for quite some time that this was the meaning of "the royal we", but it turns out that is a different thing. What is the condescending usage actually called?

The patronizing "we" is one of the five types of a nosism:

..."we" is sometimes used in addressing instead of "you," suggesting that the addressee is not alone in his situation, that "I am with you, we are in this together." This usage is emotionally non-neutral and usually bears a condescending, ironic, praising, or some other connotation, depending on an intonation: "Aren't we looking cute?" This is sometimes employed by health care workers when addressing their patients, e. g. "How are we feeling today?"