On the wiki page for the axiom of limitation of size in NGB is states that the axiom of replacement and the axiom of global choice are equivalent to the axiom of limitation of size (see http://en.wikipedia.org/wiki/Axiom_of_limitation_of_size)
I tried my best to check through the references given on the wiki page (I couldn't get a hold of all of them and some of them are written in German/French which is a slight impasse for me)
I was wondering if anybody knew of a reference for this claim?
I did find a proof in some lecture notes by Forster here (https://www.dpmms.cam.ac.uk/~tf/axiomsofsettheory.pdf) but that uses Corets axiom which is referenced in one of Forster's papers that I can't get a hold of (and I have no idea what Coret's axiom is)
I don't have a reference, but here's the proof.
Assume Replacement and Global Choice. If $X$ is mappable onto $V$, then $X$ cannot form a set (by Replacement). Conversely, suppose $X$ doesn't form a set. Using Global Choice we can map $X$ 1-1 onto an initial segment of the ordinals, call them $Y$. Since $Y$ can't form a set (by Replacement), $Y = On$. By Global Choice, $X$ is thus 1-1 with $V$.
Assume LoS. Clearly, Replacement follows. Now, $On$ cannot form a set, so it is mappable onto $V$ (by LoS). So $V$ is well-orderable.