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what's the score on the ohio state game - ECD Germany

📅 May 8, 2026 👤 scraface

May 08, 2026

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📌 FÃ¼r $ x = 5 $: $ x \mid y \Rightarrow y \mid 5 $?

📌 Nehmen wir $ y = 10 $: $ 5 \mid 10 $: wahr. $ 10 \mid 5 $? Nein (10 â¤ 5). Also Implikation falsch. â PrÃ¤misse falsch.

📌 Somit ist die **PrÃ¤misse fÃ¼r $ x = 5 $ falsz**, also die gesamte Implikation: â(PrÃ¤misse â $ x \mid 0 $)â â falsch â beliebig â **gesillt falsz**.

📌 Aber ist die PrÃ¤misse *immer* falsz?

📌 TatsÃ¤chlich gilt:

📌 Die Aussage $ orall y\ (x \mid y \Rightarrow y \mid x) $ ist **nur wahr**, wenn $ x $ ein **lattice complÃ¨te teiler** ist â d.h., wenn $ x $ *positiv* oder $ x = 0 $ ist, und besonders, wenn $ x = \pm1, 0 $, aber fÃ¼r $ |x| > 1 $:

📌 Nehmen wir $ y = x^2 $: $ x \mid y $: wahr. $ y \mid x $? $ x^2 \mid x $ â $ x \mid 1 $ â $ |x| = 1 $.

📌 Donutalo: Die Bedingung $ x \mid y \Rightarrow y \mid x $ ist **nur wahr, wenn $ x = 0 $ oder $ |x| = 1 $**.

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