Existential quantification is a concept from mathematical logic and predicate logic that expresses that there exists at least one element in a particular domain for which a certain property or predicate holds true. It is typically denoted using the symbol ∃ (the existential quantifier).
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Existential quantification forms . In a first-order structure, it is true at an assignment to when some domain element makes the instance true. In natural deduction, elimination uses a fresh variable for the hypothetical witness; that variable may not escape into the conclusion or the remaining undischarged assumptions.
