What does : mean on ProofWiki's page about normal subgroups?

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The discussion revolves around the notation used in mathematical proofs on ProofWiki, specifically the use of ":" which some interpret as "such that." This interpretation is questioned as it seems to create confusion in the context of the theorem being presented. Additionally, there is criticism regarding the presence of unrelated advertisements on the site, suggesting that it detracts from the academic focus of the content. The conversation highlights the need for clarity in mathematical notation and the importance of maintaining a professional environment on educational platforms.
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Why is something that looks like a homework help site advertising "5,000+ Thai Women Looking for Love"?
 
It's just breaking up multiple statements. You could simply replace : with a comma or new line character.
 

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