Let p, q, and r be the propositions.
p: You get an A on the final exam.
q: You do every exercise in this book.
r: You get an A in this class.
Consider the sentence:
“You get an A on the final, but you don’t do every exercise in this book; nevertheless, you get an A in this class.”
(p ∧ q) ∧ r
(p ∧ q) => r
(q → (¬r ∧ ¬p)
p ∧ ¬q ∧ r
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