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Home » Subtracting consecutive equations eliminates $ d $: - DNSFLEX

Subtracting consecutive equations eliminates $ d $: - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 ight) \Rightarrow (x \mid 0) $ ist **nur wahr, wenn die Implikation fÃ¼r alle $ x $ gilt**.

📌 Aber fÃ¼r $ |x| > 1 $ ist $ orall y\ (x \mid y \Rightarrow y \mid x) $ **falsch**, daher pr\log St Mg falsz.

📌 Die **narration ist komplex**. Aber beachte:

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

📌 Die Implikation $ ( ext{PrÃ¤misse}) \Rightarrow (x \mid 0) $ ist **wahr**, solange PrÃ¤misse nicht falsz ist **oder** $ x \mid 0 $ wahr ist â aber Implikation ist nur falsz, wenn PrÃ¤misse wahr und Konklusion falsz.

📌 Also: Die gesamte Aussage ist wahr **genau dann, wenn fÃ¼r alle $ x $, entweder die PrÃ¤misse falsz oder $ x \mid 0 $ wahr ist** â was immer der Fall ist, da $ x \mid 0 $ immer wahr.

📌 BUT: Wenn PrÃ¤misse **falsz**, dann ist Implikation automatisch wahr â also trivially erfÃ¼llt.

📌 Daher ist die Aussage **immer wahr**?

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