Talk:Composite of Continuous Mappings is Continuous

Where would be a good place to state the result that if $f : T_1 \to T_2$ is continuous at $x$ and $g : T_2 \to T_3$ is continuous at $f\left({x}\right)$, then $g \circ f$ is continuous at $x$? (That is a more general statement than is given in the article.) Is it preferable to put that result on this page or on a separate page? If the former, what would be the statement of the (full) theorem? If the latter, what would be a good name for the result I just mentioned? I want input from some people here before starting to make changes. Abcxyz 00:17, 18 March 2012 (EDT)
 * I think this merits a separate page. Once this is up, a transclusion can be set up (don't worry, I can do that) so as to gather up these different aspects of the same concept into one place, while keeping the details separate.
 * Name: something like Continuity of Composite Mapping/Points (or maybe not "Points" if there's a better term for this), because then the transclusion is natural and provides an automatic link to the page it is a subpage of. --prime mover 05:38, 18 March 2012 (EDT)
 * All right, I've created it. Abcxyz 00:57, 19 March 2012 (EDT)