Full Idea
Limitation of Size has it that if a collection is the same size as a set, then it is a set. The Axiom of Replacement is characteristic of limitation of size.
Gist of Idea
Limitation of Size: if it's the same size as a set, it's a set; it uses Replacement
Source
Shaughan Lavine (Understanding the Infinite [1994], V.5)
Book Reference
Lavine,Shaughan: 'Understanding the Infinite' [Harvard 1994], p.150