Identity Mapping is Automorphism/Semigroups

Theorem

Let $\struct {S, \circ}$ be a semigroup.

Then $I_S: \struct {S, \circ} \to \struct {S, \circ}$ is a semigroup automorphism.

Proof

The main result Identity Mapping is Automorphism holds directly.

$\blacksquare$