Question

In: Advanced Math

prove or disprove using logical equivalences (a) p ∧ (q → r) ⇐⇒ (p → q)...

prove or disprove using logical equivalences

(a) p ∧ (q → r) ⇐⇒ (p → q) → r

(b) x ∧ (¬y ↔ z) ⇐⇒ ((x → y) ∨ ¬z) → (x ∧ ¬(y → z))

(c) (x ∨ y ∨ ¬z) ∧ (¬x ∨ y ∨ z) ⇐⇒ ¬y → (x ↔ z)

Solutions

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