Category:Lattice Filters

This category contains results about Lattice Filters.
Definitions specific to this category can be found in Definitions/Lattice Filters.

$F$ is a lattice filter of $S$ if and only if $F$ satisifes the lattice filter axioms:

$(\text {LF 1})$	$:$		$F$ is a sublattice of $S$:	$\ds \forall x, y \in F:$	$\ds x \wedge y, x \vee y \in F $
$(\text {LF 2})$	$:$			$\ds \forall x \in F: \forall a \in S:$	$\ds x \vee a \in F $

Pages in category "Lattice Filters"

This category contains only the following page.

\((\text {LF 1})\)	$:$		$F$ is a sublattice of $S$:	\(\ds \forall x, y \in F:\)	\(\ds x \wedge y, x \vee y \in F \)
\((\text {LF 2})\)	$:$			\(\ds \forall x \in F: \forall a \in S:\)	\(\ds x \vee a \in F \)