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Home » Length: \( 3w = 150 \) meters - Dachbleche24

Length: \( 3w = 150 \) meters - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 FÃ¼r $ x = 1 $: $ x \mid y \iff y = k \cdot 1 = k $, also $ y $ ist beliebig teilbar â $ y \mid x $? $ y \mid 1 $ â $ y = \pm1 $. Also $ x \mid y \Rightarrow y = \pm1 $, aber $ (\pm1) \mid 1 $: wahr. Also **ja**, $ x \mid y \Rightarrow y \mid x $ gilt.

📌 Und $ x = 1 $, $ 1 \mid 0 $: wahr. Also Aussage gilt.

📌 FÃ¼r $ x = -1 $: gleiche Logik wie bei $ x = 1 $, da Teiler keine Vorzeichen betreffen.

📌 FÃ¼r $ x \in \mathbb{Z} \setminus \{0, \pm1\} $: WÃ¤hle $ y = x $. Dann $ x \mid y $ ist wahr. Aber $ y \mid x $ â $ x \mid x $: wahr, aber hier ist die Implikation:

📌 $ (x \mid y \Rightarrow y \mid x) $ ist wahr, denn $ y \mid x $ und $ x \mid y $ both true.

📌 BUT: $ x \mid 0 $?

📌 $ x \mid 0 $ ist wahr fÃ¼r **jedes** $ x $, da $ 0 = 0 \cdot x $. So $ x \mid 0 $ gilt immer.

📌 Wait â ist die Implikation also **immer wahr**?

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