# Category:Boolean Prime Ideal Theorem

This category contains pages concerning Boolean Prime Ideal Theorem:

Let $\struct {S, \le}$ be a Boolean algebra.

Let $I$ be an ideal in $S$.

Let $F$ be a filter on $S$.

Let $I \cap F = \O$.

Then there exists a prime ideal $P$ in $S$ such that:

$I \subseteq P$

and:

$P \cap F = \O$

## Subcategories

This category has only the following subcategory.

## Pages in category "Boolean Prime Ideal Theorem"

The following 4 pages are in this category, out of 4 total.