This summary is not the rule. The rule text controls.
Here's a plain English summary of this rule:
If you're involved in an incidental demand (like a cross-claim, third-party demand, or reconventional demand within a bigger lawsuit), the same rules that apply to regular parties in a case also apply to you. Specifically, this means the rules covering things like who can sue and be sued, how cases proceed, and other procedural matters (found in Articles 641 through 742 and 801 through 821) work the same way for you as they do for the main parties in the lawsuit.
In simple terms, this rule makes sure everyone follows the same playbook. Whether you're the original plaintiff, the original defendant, or someone brought into the case later through an incidental demand, you don't get different treatment when it comes to these procedural rules. The same standards for things like domicile, capacity to sue, and other foundational matters apply across the board.
This matters because incidental demands can bring new parties into a lawsuit who weren't part of the original case. This rule confirms that once you're pulled into the case this way, you have the same procedural rights and responsibilities as anyone else involved in the litigation.