Question

Assuming binding priority (¬, ∧, ∨, →), how would you prove the validity of the sequents?...

Assuming binding priority (¬, ∧, ∨, →), how would you prove the validity of the sequents?

5. (p → r) ∨ (q → r) ⊢ (p ∧ q) → r

6. ¬(p ∨ q) is equivalent to (¬p ∧ ¬q) (prove → in both directions)

7. (p → ¬q) is equivalent to ¬(p ∧ q)

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