When using MathQuill one needs to type \nsub to get the ⊈ symbol. The latex you get back is \not\subset, which is fine.
But when you try to set back the same \not\subset expression to the MathQuill field, you get a different result : \neg\subset, which translates to a different rendering.
The problem can be reproduced directly on the MathQuill page (http://mathquill.com/) using the browser console :
Any ideas on how to handle or work around this ?

MathQuill will accept
\nsubwhile typing, but also\notsubset, which got me to a simple find-and-replace solution, which does not require any other code change.Not the best, but it works; the only downside is that the list of text replacements is fixed; the set operators are the one I found; could be more.