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Mathlib/ModelTheory/Arithmetic/Presburger/Definability.lean
@@ -17,8 +17,9 @@ import Mathlib.LinearAlgebra.Matrix.Notation
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/-!
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# Presburger definability and semilinear sets
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-This file formalizes the equivalence between Presburger definable sets and semilinear sets. As an
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-application of this result, we show that the graph of multiplication is not Presburger definable.
+This file formalizes the classical result that Presburger definable sets are the same as semilinear
+sets. As an application of this result, we show that the graph of multiplication is not Presburger
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+definable.
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## Main Results
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