Sequent Introduction Flashcards

1
Q

Si(DS)

A

AvB, ~A |= B

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2
Q

A–>B, ~B |= ~A

A

SI(MT)

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3
Q

SI(MT)

A

A–>B, ~B |= ~A

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4
Q

A |= ~~A

A

(DN+)

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5
Q

DN+

A

A|= ~~A

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6
Q

DeM 1

A

~(A&B) =|= ~Av~B

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7
Q

~(A&B) =|= ~Av~B

A

DeM 1

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8
Q

DeM 2

A

~(AvB) =|= ~A&~B

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9
Q

~(AvB) =|= ~A&~B

A

DeM 2

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10
Q

DeM 3

A

~(~Av~B) =|= A&B

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11
Q

~(~Av~B) =|= A&B

A

DeM 3

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12
Q

DeM 4

A

~(~A&~B) =|= AvB

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13
Q

~(~A&~B) =|= AvB

A

DeM 4

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14
Q

Imp

A

A–>B =|= ~AvB

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15
Q

A–>B =|= ~AvB

A

Imp

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16
Q

Neg-imp

A

~(A–>B) =|= A&~B

17
Q

~(A–>B) =|= A&~B

A

Neg-imp

18
Q

Dist 1

A

A & (BvC) =|= (A&B) v (A&C)

19
Q

A & (BvC) =|= (A&B) v (A&C)

A

Dist 1

20
Q

Dist 2

A

A v (B&C) =|= (AvB) & (AvC)

21
Q

A v (B&C) =|= (AvB) & (AvC)

A

Dist 2

22
Q

AvB, ~A |= B

A

SI(DS)