 ##  [Existential Generalization](/existential-generalization) 

  ##  [Existential Generalization](https://mathlogic.quantumdictionary.io/existential-generalization-0) 

  

 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An inference rule that permits one to infer an existential claim ∃x P(x) from a particular instance P(t): if some term t satisfies P, then there exists an x such that P(x).