##  [Inverse Law](/inverse-law) 

  ##  [Inverse Law](https://puremath.quantumdictionary.io/inverse-law-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A law asserting that for a given element a in a set with identity e there exists an element b (called an inverse of a) such that a·b = b·a = e; typically refers to two-sided inverses but may be stated one-sidedly in weaker contexts.