Surjection iff Right Inverse/Non-Uniqueness/Examples

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Examples of Surjection iff Right Inverse: Non-Uniqueness

Arbitrary Example

Let $S = \set {0, 1}$.

Let $T = \set a$.

Let $f: S \to T$ be defined as:

$\forall x \in S: \map f x = a$

Then $f$ has $2$ distinct right inverses.