So I recently came across this question, where the OP asks for a proof of the uniform convergence of a certain sequence, and I happen to have a link to some lecture notes which contain a detailed proof of (a slightly more general version of) the result the OP asked about.
I now wonder what is MSE's community consensus on the appropriate course of action to take in this situation : From the related Meta posts I've found (post 1, post 2), it seems that giving an appropriate link with enough context is acceptable as an answer, or otherwise as a comment. I am just not really clear of what amount of context would be deemed as "enough".
I thus ask, out of these options, which one would be considered best ? :
- Writing as a comment :
you can find the detailed proof of this result on page 2 of these lecture notes [link to lecture notes]
- Writing as an answer :
The detailed proof of this result can be found on page 2 of these lecture notes [link to lecture notes].
The idea of the proof is to [explanation of the proof main ideas e.g. : "cover the compact set $\Theta$ by a finite number of balls of radius $\varepsilon$, then use the union bound over these balls together with WLLN and continuity arguments to get your result"]
- Writing as an answer :
The detailed proof of this result can be found on page 2 of these lecture notes [link to lecture notes]. In order to make this answer self-contained, I reproduce the proof (not mine) below :
[detailed proof of the result as in the linked lecture notes]
To me, option 1 does not make sense : the linked resource effectively answers the question, so it has to be given as an answer. However I feel like a case could be made for both options 2 and 3 (or even others I haven't considered), so I would like to know the community's consensus on this.
P.S.: I am aware the question I linked to has already been answered, I am asking for future reference.
