# Prove that if a binary operation on an identity element

Please formally prove that if a binary operation * on a set X has an identity element e (element of) X , then it must be unique.

Please submit response as a PDF or MS Word file.

Infinite Thanks.

© BrainMass Inc. brainmass.com October 10, 2019, 4:22 am ad1c9bdddfhttps://brainmass.com/math/discrete-math/prove-binary-operation-identity-element-457834

#### Solution Preview

Prove that if a binary operation * on a set X has an identity element e∈X, then it must be unique.

Let, if ...

#### Solution Summary

The expert proves that if a binary operations on an identity element e.

$2.19