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import TestGame.Metadata
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import Mathlib.Tactic.Linarith
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Game "TestGame"
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World "Inequality"
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Level 4
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Title "Linarith"
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Introduction
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"
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**Robo**: Die Taktik kann aber noch viel mehr.
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**weitere Person**: Hier, probier mal!
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$$
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\\begin{aligned}
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5 * y &\\le 35 - 2 * x \\\\
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2 * y &\\le x + 3
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\\end{aligned}
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$$
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"
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Statement (x y : ℤ) (h₂ : 5 * y ≤ 35 - 2 * x) (h₃ : 2 * y ≤ x + 3) : y ≤ 5 := by
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linarith
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Conclusion "**Du**: Boah, das ist schon gar nicht schlecht.
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Und damit endet auch Deine Erinnerung und wer weiss was du anschließend gemacht hast…"
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