(CNN)Two Arkansas deputies -- one of whom said he had been body-slammed -- followed their training to get a suspect under control during a violent encounter outside a store in the town of Mulberry, an attorney for the law enforcement officers said Tuesday in a statement.

Part of the arrest Sunday was recorded on 34 seconds of bystander video that has led to state and federal investigations into the actions of the deputies from Crawford County and a third officer from the Mulberry Police Department. The recording shows at least two of them punching and kneeing the suspect -- identified as Randal Worcester, 27, of Goose Creek, South Carolina -- during an arrest.

Attorney Russell A. Wood, who represents deputies Zack King and Levi White, said Worcester matched the description of a man who threatened to cut off a woman's face with a knife and that he was violent toward the officers.

"The amount of force authorized under the law is always relative to the offense the suspect commits," according to Wood. White's interactions with Worcester "were cordial up to the point" then the suspect allegedly "viciously attacked him," Wood said. "Likewise, there was no use of force after the handcuffs were secured."

CNN reached out Tuesday to Worcester's attorneys for comment on Wood's statement.

The bystander video, which was posted on social media, shows the law enforcement officers restraining an individual -- identified by state police as Worcester -- near a curb outside a business. One officer throws punches at the person's face and slams his head to the ground, while another knees the individual in the side and back. 

A woman who is not seen in the video says, "Don't beat him! He needs his medicine!" One officer responds, "Back the f**k up!" while another officer orders her to get in her car.

"We do not know what would happen if that person would not have been videoing," Carrie Jernigan, one of Worcester's attorneys, said Monday. "The fight was escalating with those officers and you hear that woman on that video yelling, and whoever that is, I think she could've saved his life."

Wood said there is a video recorded by the dashboard camera of the Mulberry officer's patrol vehicle that shows the entire event. It has not been released to the public. None of the officers was wearing a body camera, officials have said.

Wood said he has requested the police video but had not received a response.

"These Deputies deserve the full truth to come out," said Wood.

Attorney says deputies used 'compliance strikes'

The deputies' attorney said White was checking Worcester's identity when "the suspect became irate and viciously attacked Deputy White by grabbing him by the legs, lifting him up and body-slamming him, head first, on the concrete parking lot."