dbms doubt

Question

Consider the following FDs on a relational schema R(A,B,C,D,E)

FD { A-> B ,  C -> D ,  BC -> E}

Is the FD : BC-> E  a transitive FD ?

Comments

no..

let an example ...

A->B ,B->c

then A->c      would be transitive dependency...

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@hs_yadav  For transitive dependency, LHS should not be a CK or SK and RHS should not be a prime attribute.

Here AC is the only CK. BC is neither CK nor SK. Prime attributes are {A,C}. E is not a prime attribute.

So BC->E should be a transitive FD.  Isn't it?