Conditional Equivalences Flashcards

1
Q

P → Q

A

¬P ∨ Q

¬Q → ¬P

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2
Q

¬P → Q

A

P ∨ Q

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3
Q

¬(P → ¬Q)

A

P ∧ Q

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4
Q

¬(P → Q)

A

P ∧ ¬Q

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5
Q

(P → Q) ∧ (P → R)

A

P → (Q ∧ R)

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6
Q

(P → R) ∧ (Q → R)

A

(P ∨ Q) → R

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7
Q

(P → Q) ∨ (P → R)

A

P → (Q ∨ R)

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8
Q

(P → R) ∨ (Q → R)

A

(P ∧ Q) → R

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