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For a table to satisfy the Fourth Normal Form, it should satisfy the following two conditions:

It should be in the Boyce-Codd Normal Form. And, the table should not have any Multi-valued Dependency. The table should have at least 3 attributes and B and C should be independent for $A \twoheadrightarrow B$ multivalued dependency.

Now, I do not get the meaning of the following line "for a relation $R(A,B,C)$, if there is a multi-valued dependency between, A and B, then B and C should be independent of each other."

What does mean by independent of each other? Does the word independent mean that there should not be any FD such as $B\rightarrow C$ , or $C\rightarrow B$, or $BC \rightarrow A$?

Please help me. I did not get any proper explanation of this line or I failed to understand the meaning of the line in different sources.

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