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If ~ is an equivalence relation on A. Show : the unempty subset C of set A is in the equivalance class ~ , iff y & z are in C then y~z.

This is a question I've faced in my homeworks and couldn't find an appropriate proof. I'd be grateful if someone could help me. Thank you in advance.

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    Welcome to Stack Overflow. 1) Your question is about pure mathematics, not software engineering, so it doesn't belong on this site -- but it *might* belong on another SE site. 2) We ask that you show an effort to solve the problem yourself. 3) Doesn't it follow directly from the definition of an equivalence class? – Beta Jun 24 '21 at 11:50
  • What does "the unempty subset C of set A is in the equivalance class ~" mean? I suspect there are a few words missing from this sentence. – Stef Jun 24 '21 at 12:59
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    I’m voting to close this question because this is off-topic here – Nico Haase Jun 24 '21 at 14:22

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