Use truth tables to verify that each of the following is a logical implication.
a) [(p → q) ˄ (q → r)] → (p → r)
b) [(p → q) ˄ ¬q] → ¬p
c) [(p ˅ q) ˄¬p] → q
d) [(p → r) ˄ (q → r)] → [(p ˅ q) → r]
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