 ##  [Categorical Equivalence](/categorical-equivalence) 

  ##  [Categorical Equivalence](https://mathlogic.quantumdictionary.io/categorical-equivalence-0) 

  
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- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

A structural correspondence between two categories asserting they have the same categorical content up to invertible functors and natural isomorphism; formally given by a pair of functors composing to objects naturally isomorphic to the respective identity functors.