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Transitivity property not clear.

  1. Oct 24, 2012 #1
    i am reading equivalence relation on wikipedia. and in this examply. i don't see the transitity property according to the definition of transitivity which is: For every three elements a, b, and c in X, if a ~ b and b ~ c, then a ~ c (transitivity).

    343oux2.png

    any explanation please?
     
  2. jcsd
  3. Oct 24, 2012 #2

    Erland

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    If you go through all possible combinations of a, b, and c for which a~b and b~c hold, you will find that a~c also holds in all these cases.
     
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