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A proof of a proposition of the form ∃xP(x) is called an existence proof.
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Final answer:

An existence proof is a type of proof used to demonstrate the truth of a proposition of the form ∃xP(x). It involves showing that at least one object exists that satisfies the predicate P(x).

Step-by-step explanation:

A proof of a proposition of the form ∃xP(x) is called an existence proof. This type of proof is used to demonstrate that there exists at least one object that satisfies the predicate P(x). The existence of a single instance is sufficient to establish the truth of the proposition. The proof typically involves providing a specific example or constructing a counterexample to show the existence of such an object

User Otocan
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