Businesses, including a franchisee of the Ben & Jerry's ice-cream chain, asked a federal judge Thursday to issue a preliminary injunction against the law. Meanwhile, a University of Central Florida professor continued to pursue a separate challenge.

In both cases, the plaintiffs argue the law, a priority of Gov. Ron DeSantis, violates First Amendment rights.

"The act silences speech aimed at combating racism and sexism — speech that is vital to the plaintiffs' operation of their businesses," the preliminary-injunction motion filed Thursday by three businesses and an individual plaintiff said. "The governor, and the Florida Legislature acting at his behest, has repeatedly sought to punish companies who have engaged in speech that displeases him, in flagrant violation of the First Amendment. Because Governor DeSantis is not a monarch, but rather a democratically elected official, the Stop WOKE Act cannot stand."

The law (HB 7), which DeSantis signed April 22, spurred fierce debates before passing during this year's legislative session. DeSantis called it the "Stop Wrongs To Our Kids and Employees Act," or Stop WOKE Act.

The law lists concepts that would constitute discrimination if they show up in classroom instruction or workplace training.

For example, it makes it illegal to compel people in workplace training to believe that an "individual, by virtue of his or her race, color, sex, or national origin, bears personal responsibility for and must feel guilt, anguish, or other forms of psychological distress because of actions, in which the individual played no part, committed in the past by other members of the same race, color, sex, or national origin."

When he signed the bill during a ceremony at a Hialeah Gardens charter school, DeSantis stood behind a placard that said "freedom from indoctrination."

"We believe an important component of freedom in the state of Florida is the freedom from having oppressive ideologies imposed upon you without your consent, whether it be in the classroom or whether it be in the workplace. And we decided to do something about it," DeSantis said at the time.

The law, like nearly 150 others that passed this year, took effect Friday.

Teachers, a student, a university professor and a diversity consultant filed a lawsuit in April to challenge the constitutionality of the law. But Chief U.S. District Judge Mark Walker on Monday largely denied a request for a preliminary injunction because he said the teachers, student and consultant did not have legal standing.

But Walker left unresolved issues related to Robert Cassanello, an associate history professor at the University of Central Florida, because the state university system's Board of Governors was slated Thursday to take up a proposed rule that would help carry out the law. Walker ordered attorneys on both sides to file briefs about whether the proposed rule could affect Cassanello's legal standing.

The Board of Governors moved forward with the proposed rule Thursday and is expected to take it up again Aug. 26. As of Friday morning, Walker had not ruled about whether Cassanello has standing to pursue the case, according to an online docket.

Meanwhile, businesses filed a second challenge June 22. Their attorneys followed up Thursday with an amended version of the lawsuit and the motion for a preliminary injunction.

The amended lawsuit added as a plaintiff Primo Tampa, LLC, a Ben & Jerry's franchisee. The other plaintiffs are Honeyfund.com, Inc., a Clearwater-based technology company that provides wedding registries, and Chevara Orrin and her company, Collective Concepts, LLC. Orrin and her company provide consulting and training to employers about issues such as diversity, equity and inclusion.

The motion for a preliminary injunction said, for example, that Primo Tampa employees are required to attend monthly corporate training sessions provided by Ben & Jerry's. It said the law would force changes to the training sessions.

"Primo believes it is critical to educate its employees about implicit bias and the need for restorative justice so they can better understand its organizational culture, function more effectively as a team and provide true hospitality to customers," said the motion, filed by attorneys from the national group Protect Democracy and the global law firm Ropes & Gray.