Is there an abbreviation for "almost all $x\in X$"? Is there an abbreviation for "almost all $x\in X$?
I have "$\forall a.e. x\in X$" in my mind, but i see nobody uses this..
 A: You can use $\mu$-a.e $x\in X$ (because depends on measure).
A: From http://everything2.com/title/common+mathematical+abbreviations:
"we say P(x) for a.a. x in X, standing for almost all x in X."
Of course, this is just something somebody said, not a well-accepted textbook. There is however, this very official-looking index for an unknown math text on MIT Press's website:
http://mitpress2.mit.edu/books/chapters/0262015730index2.pdf
A: It's common to see things like if $\int_a^b |f|dx=0$ then for a.e. $x \in [a,b]$ we have $f(x)=0$. I've never seen the notation $\forall a.e. x \in X$ personally. Of course it's also not too many characters to write out for almost every $x \in X$.
A: The book RussH linked to says $\dot\forall x \in X$, written \dot\forall x in TeX math mode.
'Optimal Control Theory with Applications in Economics', by Weber, Appendix A. 
Thanks RussH!
I'm coming to this question with a density $f(\cdot)$, so I don't want to use $\mu$-a.e. $x \in X$. That would require stating that the measure induced by the density is called $\mu(\cdot)$. But $\dot{\forall}x$ is (by default) with respect to Lebesgue measure, which works for my purposes. Using words also doesn't really fit well into e.g. the LaTeX align environment.
edit: I guess one could also introduce $\mu$ as Lebesgue measure, which would amount to the same thing. 
