Let $f : \{ 0, 1 \} \to \{ a, b \}$ be a D18: Map such that
(i) | \begin{equation} f(0) = a \end{equation} |
(ii) | \begin{equation} f(1) = b \end{equation} |
(iii) | \begin{equation} A : = \{ 0 \} \end{equation} |
(iv) | \begin{equation} B : = \{ a, b \} \end{equation} |
Then
(1) | $f$ is a D468: Bijective map |
(2) | \begin{equation} f(A) \subseteq B \end{equation} |
(3) | \begin{equation} f^{-1}(B) \not\subseteq A \end{equation} |