(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

prove that if a~a' then a+b ~ a' + b

2. Relevant equations

3. The attempt at a solution

I can prove that if a=a' then a+b = a' + b but how can I apply this to any equivalence relation

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# Equivalence relations and addition

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