Final Flashcards

1
Q

MP

A

p→q, p ∴ q

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2
Q

MT

A

p→q, ~q ∴ ~p

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3
Q

DS

A

p∨q, ~p ∴ q (OR) p∨q, ~q ∴ p

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4
Q

Simp

A

p∙q ∴ p or q

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5
Q

Conj

A

p, q ∴ (p∙q)

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6
Q

HS

A

p→q, (q→r) ∴ (p→r)

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7
Q

Add

A

p ∴ p∨q (OR) p ∴ q∨p

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8
Q

CD

A

p∨q, p→r, q→s ∴ r∨s

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9
Q

DN

A

p :: ~~p

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10
Q

EX

A

(p∙q)→r :: p→(q→r)

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11
Q

Com

A

p∙q :: q∙p (OR) p∨q :: q∨p

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12
Q

Dist

A

p∙(q∨r) :: (p∙q)∨(p∙r)

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13
Q

Dist

A

p∨(q∙r):: (p∨q)∙(p∨r)

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14
Q

As

A

p∨(q∨r) :: (p∨q)∨r

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15
Q

As

A

p∙(q∙r) :: (p∙q)∙r

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16
Q

Re

A

p :: p∙p (OR) p ::p∨p

17
Q

DeM

A

~(p∙q) :: ~p∨~q (OR) ~(p∨q) :: ~p∙~q

18
Q

ME

A

p↔q :: (p→q)∙(q→p)

19
Q

ME

A

p↔q :: (p∙q)∨(~p∙~q)

20
Q

Cont

A

p→q :: ~q→~p

21
Q

MI

A

p→q :: ~p∨q