$\left ( A,B \right )$ with FD's $A \rightarrow B $ and $B \rightarrow A$
$\left ( B, C \right )$ with FD's $B \rightarrow C $ and $C \rightarrow B$
$\left ( C, D \right )$ with FD's $C \rightarrow D $
$C \rightarrow A$ is preserved in relations $\left ( A,B \right )$ and $\left ( B,C \right )$
Hence lossless and dependency preserving