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Skript Analysis 1 (Prof. Schneider)

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A ¬A A <br />

A<br />

A, B A ∧ B A B <br />

A B <br />

<br />

A, B A ∨ B A B<br />

<br />

<br />

A, B <br />

<br />

A, B, C <br />

¬(¬A) ⇔ A <br />

A ∧ B ⇔ B ∧ A A ∨ B ⇔ B ∨ A <br />

(A ∧ B) ∧ C ⇔ A ∧ (B ∧ C) (A ∨ B) ∨ C ⇔ A ∨ (B ∨ C) <br />

(A ∧ B) ∨ C ⇔ (A ∨ C) ∧ (B ∨ C) (A ∨ B) ∧ C ⇔ (A ∧ C) ∨ (B ∧ C) <br />

<br />

¬(A ∧ B) ⇔ ¬A ∨ ¬B ¬(A ∨ B) ⇔ ¬A ∧ ¬B


A, B <br />

A ∧ (A ⇒ B) ⇒ B<br />

¬B ∧ (A ⇒ B) ⇒ ¬A<br />

(A ⇒ B) ⇔ (¬B ⇒ ¬A)<br />

(A ⇒ B) ∧ (B ⇒ C) ⇒ (A ⇒ C)

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