Rule of Conjunction/Proof Rule

Proof Rule
The rule of conjunction is a valid argument in types of logic dealing with conjunctions $\land$.

This includes propositional logic and predicate logic, and in particular natural deduction.

As a proof rule it is expressed in the form:
 * If we can conclude both $\phi$ and $\psi$, we may infer the compound statement $\phi \land \psi$.

It can be written:
 * $\ds {\phi \qquad \psi \over \phi \land \psi} \land_i$

Also see

 * This is a rule of inference of the following proof systems:
 * Definition:Natural Deduction
 * Definition:Hilbert Proof System/Instance 2


 * Rule of Simplification