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Theorems · Theorem · algebraic geometry

RingHom.isStandardSmoothOfRelativeDimension_algebraMap

∀ (n : ℕ) {R : Type u} {S : Type v} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S],
  RingHom.IsStandardSmoothOfRelativeDimension n (algebraMap R S) ↔ Algebra.IsStandardSmoothOfRelativeDimension n R S
Defined in
Mathlib.RingTheory.RingHom.StandardSmooth
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Foundations
Depth 21 from the axioms · uses Quot.sound
Assumes
CommRingCommRingAlgebra
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CommRing · cited by 17173CommRingAlgebra · cited by 11388AlgebraAlgebra.algebraMap · cited by 4706Algebra.algebraMapRingHom.IsStandardSmoothOfRelativeDimension · cited by 18RingHom.IsStandardSmoothO…Algebra.IsStandardSmoothOfRelativeDimension · cited by 17Algebra.IsStandardSmoothO…toAlgebra_algebraMap · cited by 17toAlgebra_algebraMapRingHom.isStandardSmoothOfRel…CITED BYCITES

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