##  [Cantor–Bernstein–Schroeder Theorem](/cantor-bernstein-schroeder-theorem) 

  ##  [Cantor–Bernstein–Schroeder Theorem](https://mathlogic.quantumdictionary.io/cantor-bernstein-schroeder-theorem-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 & Formal Sciences -

**Mathematics & Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A theorem stating that if there exists an injective function from A into B and an injective function from B into A, then there exists a bijection between A and B; mutual embeddability implies equipotence.