Category:Boolean Algebra is Equivalent to Boolean Lattice
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This category contains pages concerning Boolean Algebra is Equivalent to Boolean Lattice:
Boolean Algebra as Boolean Lattice
Let $\struct {S, \vee, \wedge, \neg}$ be a Boolean algebra.
Let $\preceq$ be the ordering on $S$ defined as:
- $a \preceq b \iff a \vee b = b$
for all $a, b \in S$.
Then $\struct {S, \vee, \wedge, \preceq}$ is a Boolean lattice.
Boolean Lattice as Boolean Algebra
Pages in category "Boolean Algebra is Equivalent to Boolean Lattice"
The following 2 pages are in this category, out of 2 total.