 ##  [Existence Property](/existence-property) 

  ##  [Existence Property](https://mathlogic.quantumdictionary.io/existence-property-0) 

  
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- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

A constructive metatheoretic property asserting that if a system proves an existential statement ∃x φ(x) then there exists a concrete term t in the language such that the system proves φ(t); proofs of existence therefore provide explicit witnesses.