Rule of Implication/Proof Rule

Proof Rule
The Rule of Implication is a valid deduction sequent in propositional logic.

As a proof rule it is expressed in the form:
 * If, by making an assumption $\phi$, we can conclude $\psi$ as a consequence, we may infer $\phi \implies \psi$.

It can be written:
 * $\displaystyle {\begin{array}{|c|} \hline \phi \\ \vdots \\ \psi \\ \hline \end{array} \over \phi \implies \psi} \to_i$