Cantor–Schröder–Bernstein theorem

Theorem

Given sets $A$ and $B$, if there exists injective functions $f : A \to B$ and $g: A \to B$ between the sets, then there exists a bijective function $h: A \to B$

#incomplete

References

1. https://en.wikipedia.org/wiki/Schröder–Bernstein_theorem
2. Aliprantis, C. D., & Border, K. C. (1999). Infinite Dimensional Analysis: A Hitchhiker’s Guide, 10.