Construct a Derivation to Prove That Each of the Following $\lor$

question 21

Essay

Construct a derivation to prove that each of the following propositions is a logical truth of PL using any of the twenty-five rules and conditional proof.
-[(T ⊃ W) • (X ⊃ W)] ⊃ [(T $\lor$ X) ⊃ W]

---

Definitions:

Agreeableness

A personality trait characterized by compassion, cooperation, and a desire for social harmony.

Neuroticism

A personality trait characterized by a tendency to experience negative emotions such as anxiety, anger, or depression more frequently and intensely than others.

Consistency

The characteristic of being uniform, stable, and lacking in contradiction over time or across situations.

Distinctiveness

The quality of being easily distinguishable or set apart from others due to unique features or characteristics.