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tests/lean/run/grind_linarith_2.lean

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@@ -38,3 +38,17 @@ set_option trace.grind.debug.linarith.search.assign true in
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example [CommRing α] [LinearOrder α] [Ring.IsOrdered α] (a b c d : α)
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: b ≥ 0 → c > b → d > b → a ≠ b + c → a > b + c → a < b + d → False := by
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grind
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example [CommRing α] [LinearOrder α] [Ring.IsOrdered α] (a b c d : α)
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: a ≤ b → a ≥ c + d → d = 0 → b = c → a = b := by
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grind
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example [IntModule α] [LinearOrder α] [IntModule.IsOrdered α] (a b c d : α)
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: a ≤ b → a ≥ c + d → d ≤ 0 → d ≥ 0 → b = c → a = b := by
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grind
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open Linarith
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set_option trace.grind.debug.proof true
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example [IntModule α] [LinearOrder α] [IntModule.IsOrdered α] (a b c d : α)
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: a ≤ b → a - c ≥ 0 + d → d ≤ 0 → d ≥ 0 → b = c → a ≠ b → False := by
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grind

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