Law of Excluded Middle/Proof Rule

Proof Rule
The law of (the) excluded middle is a valid deduction sequent in propositional logic.

As a proof rule it is expressed in the form:
 * $\phi \lor \neg \phi$ for all statements $\phi$.

It can be written:
 * $\ds {{} \over \phi \lor \neg \phi} \textrm{LEM} \qquad \text { or } \qquad {\top \over \phi \lor \neg \phi} \textrm{LEM}$

where the symbol $\top$ (top) signifies tautology.