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Mathlib/RingTheory/Smooth Expand file tree Collapse file tree Original file line number Diff line number Diff line change @@ -325,14 +325,18 @@ lemma IsStandardSmoothOfRelativeDimension.iff_of_isStandardSmooth [Nontrivial S]
325325 apply Nat.cast_injective (R := Cardinal)
326326 rwa [← P.rank_kaehlerDifferential]
327327
328- instance IsStandardSmoothOfRelationDimension .subsingleton_kaehlerDifferential
328+ instance IsStandardSmoothOfRelativeDimension .subsingleton_kaehlerDifferential
329329 [IsStandardSmoothOfRelativeDimension 0 R S] : Subsingleton Ω[S⁄R] := by
330330 cases subsingleton_or_nontrivial S
331331 · exact Module.subsingleton S _
332332 haveI : IsStandardSmooth R S := IsStandardSmoothOfRelativeDimension.isStandardSmooth 0
333333 exact Module.subsingleton_of_rank_zero
334334 (IsStandardSmoothOfRelativeDimension.rank_kaehlerDifferential 0 )
335335
336+ @ [deprecated (since := "2026-05-22" )]
337+ alias IsStandardSmoothOfRelationDimension.subsingleton_kaehlerDifferential :=
338+ IsStandardSmoothOfRelativeDimension.subsingleton_kaehlerDifferential
339+
336340end
337341
338342instance (priority := 900 ) [IsStandardSmooth R S] : Smooth R S where
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