  Given a link $L$, Dowlin constructed a filtered complex inducing a spectral
sequence with $E_2$-page isomorphic to the Khovanov homology $\overline{Kh}(L)$
and $E_\infty$-page isomorphic to the knot Floer homology $\widehat{HFK}(m(L))$
of the mirror of the link. In this paper, we prove that the $E_k$-page of this
spectral sequence is also a link invariant, for $k\ge 3$.
