Talk:Countably Compact First-Countable Space is Sequentially Compact/Proof 2

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How is this proof different from Proof 1 (besides needing justification of the last claim)? --abcxyz (talk) 16:43, 16 December 2012 (UTC)

It's all on one page and does not need the reader to go to find out what an accumulation point is. It's a single-page easily digested proof from relatively first principles. Besides, it's the proof as published in the source cited. I really can't see where the problem is here. --prime mover (talk) 18:25, 16 December 2012 (UTC)
How does the reader not need to go find out what an accumulation point is? --abcxyz (talk) 18:40, 16 December 2012 (UTC)