Rule of Conjunction

Context
This is one of the axioms of natural deduction.

The rule
If we can conclude both $$p$$ and $$q$$, we may infer the compound statement $$p \land q$$:

$$p, q \vdash p \land q$$

This is sometimes known as the rule of "and-introduction".


 * Abbreviation: $$\land \mathcal{I}$$
 * Deduced from: The pooled assumptions of each of $$p$$ and $$q$$.
 * Depends on: Both of the lines containing $$p$$ and $$q$$.

Explanation
This means: if we can show that two statements are true, then we may build a compound statement expressing this fact, and be certain that this is also true.

Thus a conjunction is added to a sequent.