Simplify the following propositions as much as possible. 1. (¬p ⇒ q) ∧ (q ∧ p ⇒ ¬p) 2. (p ⇒ ¬p) ⇒ ((q ⇒ (p ⇒ p)) ⇒ p) 3.(p ⇒ p) ⇒ (¬p ⇒ ¬p) ∧ q

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