Answer:
Opinion: More easily than disproving a wife's false claims of domestic violence!
Added: It is an age-old, impossible to resolve, conundrum - how do you disprove a negative?
He would have to present evidence or proof of your violence against him. Absent any such evidence or proof, no law enforcement agency will arrest, no prosecutor will place charges, and no court will convict. Document his false statements and use them in your divorce action.