Propositional Proofs Flashcards

1
Q

AND

A

(P & Q) = P, Q

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2
Q

NOR

A

~(P v Q) = ~P, ~Q

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3
Q

NIF

A

~(P > Q) = P, ~Q

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4
Q

NN

A

~~P = P

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5
Q

IFF

A

(P ≡ Q) = (P > Q) , (Q > P)

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6
Q

NIFF

A

~(P ≡ Q) = (P v Q), ~(P & Q)

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7
Q

NOT-BOTH

A

~(P & Q) + P = ~Q

~(P & Q) + Q = ~P

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8
Q

OR

A

(P v Q) + ~P = Q

(P v Q) + ~Q = P

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9
Q

IF-THEN

A

(P > Q) + P = Q

(P > Q) + ~Q = ~P

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