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The problem is that a bunch of other law firms also work out of that building: a quick Google reveals that Shepard Mullins (a major firm), Calderon Law Group, etc. So are "Tang Capital Partners", "Sanderling Ventures", etc. If you look at a Google Streetview, there's even a "for lease" sign outside the building [1]. It's clearly a shared office space.
None of this proves that Cooley is _not_ IV's lawyers. But I wouldn't rely on just that address to prove they are.
[1] https://maps.google.com/maps?q=%224401+Eastgate+Mall,+San+Di...
Edit: here's the "FOR LEASE" advertisement for the building -- it's pretty clear that anybody can get a spot in that building (currently 1,750-9,000 sq ft): http://www.utcofficespace.com/4401-eastgate-mall-san-diego-c...
http://www.sheppardmullin.com/offices-7.html
"Tang Capital Partners, LP is an investment fund that focuses on the life sciences industry," so it's not a law firm.
http://www.streetinsider.com/entities/Tang+Capital
"Sanderling: an investment firm dedicated to building new biomedical companies since 1979," is also not a law firm.
The other individuals' names listed by Google appear to be lawyers who work for Cooley LLP. I admit I didn't check them all but I think it's pretty clear what's going on here.
Ethan Christensen - http://www.lawyerdb.org/Lawyer/Ethan-Christensen/
Fred Muto - http://www.cooley.com/mutoft
John Kyle - http://www.cooley.com/jkyle
Joe Leventhal - http://www.cooley.com/65631
Karen E. Hernandez - http://www.cooley.com/65668
Based on this, the sign on the building, and the sign in front of the building, there appears to be one major tenant in the building: Cooley LLP.