A more thorough explanation:

De arbitratione facto is a Latin term used in law that means "of arbitration had." It refers to a writ that stops an action that has already been resolved through arbitration.

For example, if two parties have a dispute and agree to settle it through arbitration, and the arbitrator makes a decision, the losing party may not be satisfied with the outcome and try to take the matter to court. In this case, the winning party can use the de arbitratione facto writ to stop the losing party from taking further legal action.

Another example is if a contract includes an arbitration clause, and one party breaches the contract, the other party can use the de arbitratione facto writ to enforce the arbitration clause and prevent the breaching party from taking the matter to court.

These examples illustrate how the de arbitratione facto writ can be used to prevent parties from going back on their agreement to settle a dispute through arbitration and instead trying to take the matter to court.