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justus-springerBergschaf
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chore(RingTheory/Smooth/StandardSmoothCotangent): fix typo in instance name (leanprover-community#39704)
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Mathlib/RingTheory/Smooth/StandardSmoothCotangent.lean

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@@ -325,14 +325,18 @@ lemma IsStandardSmoothOfRelativeDimension.iff_of_isStandardSmooth [Nontrivial S]
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apply Nat.cast_injective (R := Cardinal)
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rwa [← P.rank_kaehlerDifferential]
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instance IsStandardSmoothOfRelationDimension.subsingleton_kaehlerDifferential
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instance IsStandardSmoothOfRelativeDimension.subsingleton_kaehlerDifferential
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[IsStandardSmoothOfRelativeDimension 0 R S] : Subsingleton Ω[S⁄R] := by
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cases subsingleton_or_nontrivial S
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· exact Module.subsingleton S _
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haveI : IsStandardSmooth R S := IsStandardSmoothOfRelativeDimension.isStandardSmooth 0
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exact Module.subsingleton_of_rank_zero
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(IsStandardSmoothOfRelativeDimension.rank_kaehlerDifferential 0)
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@[deprecated (since := "2026-05-22")]
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alias IsStandardSmoothOfRelationDimension.subsingleton_kaehlerDifferential :=
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IsStandardSmoothOfRelativeDimension.subsingleton_kaehlerDifferential
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end
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instance (priority := 900) [IsStandardSmooth R S] : Smooth R S where

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