  We establish some general relations between Heegaard Floer based contact
invariants. In particular, we observe that if the contact invariant of large
negative, respectively positive, contact surgeries along a Legendrian knot does
not vanish, then the Legendrian invariant, respectively the Legendrian inverse
limit invariant, of that knot is non-zero. We use sutured Floer homology, and
the limit constructions due to Golla, and Etnyre, Vela-Vick and Zarev.
