If P, then Q, If Fido is a dog, then Fido is an animal, If P, Q, If Fido is a dog, Fido is an animal., Q, if P, Fido is an animal, if Fido is a dog., P only if Q, Fido is a dog only if Fido is an animal., P is a sufficient condition for Q, Fido’s being a dog is a sufficient condition for his being an animal, Q is a necessary condition for P, Fido’s being an animal is a necessary condition for his being an animal, Q on the condition that P, Fido is an animal on the condition that he is a dog., P only on the condition that Q, Fido is a dog only the condition that he is an animal., If not-Q, then not-P, If Fido is not an animal, then Fido is not a dog., Only Q are P, (Only animals are dogs) If you are a dog, then you are an animal.

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