Conjunction Introduction
If P is true and Q is true independently, we are justified in asserting them together as a single combined claim. This rule scales — you can conjoin any number of individually confirmed statements.
The Rule
If
P is true, and Q is true, then we can conclude P ∧ Q (P and Q). Both statements must be independently established before they can be joined. The rule extends: if R is also true, then (P ∧ Q) ∧ R follows as well.