Thank you very much! I will have a look to the links above.

]]>The proof of “descent for sheaves” highlighted in MO:a/9663 is spelled out in:

- Martin Olsson, §4.2.11 of:
*Algebraic Spaces and Stacks*, Colloquium Publications**62**(2016) [doi:10.1090/coll/062, ISBN:978-1-4704-2798-6]

It looks like those nLab edits originate from discussion at MO:q/9636, where some relevant details were spelled out in the last part of the reply by Anton Geraschenko: MO:a/9663.

]]>I a searching a proof for the fact(s) claimed in this post: https://nforum.ncatlab.org/discussion/560/codomain-stacks/

Is there a proof on the condition for a self-indexing to be a stack? I would like a reference. If there is not, some particular cases or proofs with similar ideas would also be appreciated.

Thanks!

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