SAN FRANCISCO — Lawsuits are continuing to pile up against Theranos Inc., the once vaunted Silicon Valley medical startup, in the wake of the company’s May disclosure that it had been forced to void thousands of blood tests because the results were unreliable.

On Tuesday, attorneys at Kaplan Fox & Kilsheimer joined the fray, filing a proposed class action in the U.S. District Court for the Northern District of California on behalf of all consumers who purchased a Theranos lab test back to 2013. The suit throws breach of contract claims at Theranos and alleges violations of California false advertising and unfair competition laws.