# Show that S can have at most one object

Let S be a set having an operation ∗ which assigns an element a x b of S for any a, b ∈ S . Let us assume that the following two rules hold:

If a, b are any objects in S, then a x b = a . If a, b are any objects in S, then a x b = b x a .

Thad Answered question September 16, 2022

With this, it is a factor that S has more than one object .

Thad Answered question September 16, 2022