Rule of Distribution/Disjunction Distributes over Conjunction/Left Distributive/Formulation 1/Forward Implication

Definition

 * $p \lor \left({q \land r}\right) \vdash \left({p \lor q}\right) \land \left({p \lor r}\right)$

Proof

 * align="right" | 12 ||
 * align="right" | 1
 * $\left({p \land q}\right) \lor \left({p \land r}\right)$
 * $\lor \mathcal E$
 * 1, 2-5, 6-11
 * 1, 2-5, 6-11