##  [Cancellation Law](/cancellation-law) 

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

  

 [![Pure Mathematics Dictionary](/sites/default/files/styles/large/public/2026-01/Pure%20Mathematics.png.webp?itok=5pZnFQ59)](/topic-specific-dictionaries/mathematics-logic/pure-mathematics)

- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A property that permits removing a common factor from an equation: left cancellation means a·b = a·c implies b = c, and right cancellation means b·a = c·a implies b = c, when the cancelling element a satisfies the needed conditions.