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Theorems · Theorem · commutative algebra

Algebra.IsStandardSmoothOfRelationDimension.subsingleton_kaehlerDifferential

Deprecated since 2026-05-22Use Algebra.IsStandardSmoothOfRelativeDimension.subsingleton_kaehlerDifferential instead.

∀ {R : Type u_1} {S : Type u_2} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S]
  [Algebra.IsStandardSmoothOfRelativeDimension 0 R S], Subsingleton Ω[S⁄R]

Alias of Algebra.IsStandardSmoothOfRelativeDimension.subsingleton_kaehlerDifferential.

Defined in
Mathlib.RingTheory.Smooth.StandardSmoothCotangent
Cited by
0 results in Mathlib
Foundations
Depth 151 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingCommRingAlgebraAlgebra.IsStandardSmoothOfRelativeDimension
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CommRing · cited by 17173CommRingAlgebra · cited by 11388AlgebraKaehlerDifferential · cited by 204KaehlerDifferentialAlgebra.IsStandardSmoothOfRelativeDimension · cited by 17Algebra.IsStandardSmoothO…IsStandardSmoothOfRelationDim…CITED BYCITES

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