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In propositional logic and several other logics, Modus Ponens is a rule of inference. It states that if we derived a well formed formula $ \phi \to \psi $ and we also derived $ \phi $, then we may derive $ \psi $ (where $ \phi $ and $ \psi $ are metavariables and $ \to $ is Material Conditional). In sequent notation, it is:

$ \phi \to \psi, \phi \vdash \psi $ 

In rule form it is:

$ \frac{P \to Q, P}{\therefore Q} $

It is also the valid argument form:

1. If P then Q.

2. P.

C: Q.

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