Conditions for Uniqueness of Left Inverse Mapping/Examples

Examples of Conditions for Uniqueness of Left Inverse Mapping

Arbitrary Example

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

Let $T = \set {a, b, c}$.

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

$\forall x \in S: \map f x = \begin {cases} a & : x = 0 \\ b & : x = 1 \end {cases}$

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