Abstract: This paper reports on the formalization of the completeness of intermediate value theorem. This theorem as a fundamental property of continuous function on a closed interval, can be used to ...

Suppose f is a continuous function defined on the interval [a, b], with f (a) and f (b) of opposite sign. The Intermediate Value Theorem implies that a number p exists in (a, b) with f ( p) = 0.

This article was published in Scientific American’s former blog network and reflects the views of the author, not necessarily those of Scientific American On this very special Valentine’s Day episode ...