Mathematics, 04.02.2020 21:54 chilanka
Suppose you want to prove a theorem of the form p → (q ∨ r). prove that this is equivalent to showing that (p ∧ ¬q) → r.
p → (q ∨ r) ≡ ¬p ∨ (q ∨ r)implication rule
≡ (¬p ∨ q) ∨ rassociative rule
≡ ¬(p ∧ ¬q) ∨ rㅤㅤㅤ ㅤ how did i get this?
≡ (p ∧ ¬q) → rimplication rule
what rule was used to get ¬(p ∧ ¬q) ∨ r from (¬p ∨ q) ∨ r ?
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