Zulip Chat Archive

Stream: Is there code for X?

Topic: Cauchy sequences are totally bounded


Moritz Doll (Sep 19 2022 at 06:11):

Do we have the statement that the image of a Cauchy sequence (on ℕ) is totally bounded? I only found docs#totally_bounded_iff_filter but this is not to prove anything about sequences.

Matt Diamond (Sep 19 2022 at 16:56):

docs#cau_seq.bounded perhaps?

Matt Diamond (Sep 19 2022 at 16:58):

actually that might be the wrong one since it uses cau_seq instead of cauchy_seq

Moritz Doll (Sep 20 2022 at 05:13):

#16563 in case anyone is interested in seeing a proof


Last updated: Dec 20 2023 at 11:08 UTC