Category:Identities of Boolean Algebra are also Zeroes
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This category contains pages concerning Identities of Boolean Algebra are also Zeroes:
Let $\struct {S, \vee, \wedge, \neg}$ be a Boolean algebra, defined as in Definition 1.
Let the identity for $\vee$ be $\bot$ and the identity for $\wedge$ be $\top$.
Then:
| \(\text {(1)}: \quad\) | \(\ds \forall x \in S: \, \) | \(\ds x \vee \top\) | \(=\) | \(\ds \top\) | ||||||||||
| \(\text {(2)}: \quad\) | \(\ds \forall x \in S: \, \) | \(\ds x \wedge \bot\) | \(=\) | \(\ds \bot\) |
That is:
- $\bot$ is a zero element for $\wedge$
- $\top$ is a zero element for $\vee$.
Pages in category "Identities of Boolean Algebra are also Zeroes"
The following 3 pages are in this category, out of 3 total.