Hey all, how can we prove the following proposition about set theory?

Let A,B,C be sets.

If A=B and B=C then A=C

Thanks!

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- October 22nd 2011, 01:32 PMjstarks44444Set Theory Transitivity Proof
Hey all, how can we prove the following proposition about set theory?

**Let A,B,C be sets.**

If A=B and B=C then A=C

Thanks! - October 22nd 2011, 03:23 PMMonroeYoderRe: Set Theory Transitivity Proof
Use the fact that

Then start by letting some and you can show that

Then let some and you can show