# How is Bolzano's theorem related to the intermediate value theorem?

##### 1 Answer

Apr 17, 2015

There is some variability in names of theorems, but here's my best answer:

As far as I can tell, these are two names for the same theorem.

The Bolzano-Weierstrass Theorem is a more advanced theorem that was proved by Bolzano as a Lemma used to prove the Intermediate Value Theorem,

It would not surprise me to hear the theorem I've been taught to call Bolzano-Weierstrass, called, by others. simply Bolzano.