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In a court of law, a party's claim is a counterclaim if one party asserts claims in response to the claims of another. In other words, if a plaintiff initiates a lawsuit and a defendant responds to the lawsuit with claims of their own against the plaintiff, the defendant's claims are "counterclaims." Examples of counterclaims include:
A crossclaim is a claim asserted between codefendants or coplaintiffs in a case and that relates to the subject of the original claim or counterclaim according to Black's Law Dictionary. A crossclaim is filed against someone who is a co-defendant or co-plaintiff to the party who originates the crossclaim.
An answer to a complaint; An answer to a counterclaim designated as a counterclaim; An answer to a crossclaim; A third-party complaint; An answer to a third-party complaint; and; If the court orders one, a reply to an answer. Any other document that requests a court order is referred to as a motion.
In logic a counterexample disproves the generalization, and does so rigorously in the fields of mathematics and philosophy. [1] For example, the fact that "student John Smith is not lazy" is a counterexample to the generalization "students are lazy", and both a counterexample to, and disproof of, the universal quantification "all students are ...
For example, in the case of "compulsory counterclaims," the defendant must assert some form of counterclaim or risk having the counterclaim barred in any subsequent proceeding. In the case of making a counterclaim, the defendant is making a motion directed towards the plaintiff claiming that he/she was injured in some way or would like to sue ...
If for example a defendant is in a car accident, and their insurance policy includes an indemnification clause, they can implead their insurance company to pay out the lawsuit. An impleaded party may turn around and sue the original defendant in turn, which is called a crossclaim .
Interpleader is a civil procedure device that allows a plaintiff or a defendant to initiate a lawsuit in order to compel two or more other parties to litigate a dispute. An interpleader action originates when the plaintiff holds property on behalf of another, but does not know to whom the property should be transferred.
Such a proof is again a refutation by contradiction. A typical example is the proof of the proposition "there is no smallest positive rational number": assume there is a smallest positive rational number q and derive a contradiction by observing that q / 2 is even smaller than q and still positive.