# Category:Tautology

This category contains results about tautology in the context of propositional logic.

A tautology is a statement which is always true, independently of any relevant circumstances that could theoretically influence its truth value.

It is epitomised by the form:

$p \implies p$

that is:

if $p$ is true then $p$ is true.

An example of a "relevant circumstance" here is the truth value of $p$.

The archetypal tautology is symbolised by $\top$, and referred to as Top.

## Subcategories

This category has the following 9 subcategories, out of 9 total.

## Pages in category "Tautology"

The following 12 pages are in this category, out of 12 total.