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this post was submitted on 25 Nov 2024
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I am waiting for someone to actually answer this
Yes. https://proofwiki.org/wiki/Definition:Supremum_Metric#Continuous_Real_Functions
Thanks. I've mostly forgotten real analysis by this point but the meme seemed really familiar, lol.
Oh, I expected it to be some unsolved problem.
Thanks for the link. I expected there would be a problem with triangle inequality but didn't want to do the actual proving 😅