# Existential instantiation

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Transformation rules |
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Propositional calculus |

Rules of inference |

Rules of replacement |

Predicate logic |

In predicate logic, **existential instantiation** (also called **existential elimination**)^{[1]}^{[2]}^{[3]} is a valid rule of inference which says that, given a formula of the form , one may infer for a new constant symbol *c*. The rule has the restriction that the constant *c* introduced by the rule must be a new term that has not occurred earlier in the proof.

In one formal notation, the rule may be denoted by

where *a* is a new constant symbol that has not appeared in the proof.

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