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Theorems · Theorem · commutative algebra

Algebra.EssFiniteType.comp_iff

∀ (R : Type u_1) (S : Type u_2) (T : Type u_3) [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : CommRing T]
  [inst_3 : Algebra R S] [inst_4 : Algebra R T] [inst_5 : Algebra S T] [IsScalarTower R S T]
  [Algebra.EssFiniteType R S], Algebra.EssFiniteType R T ↔ Algebra.EssFiniteType S T
Defined in
Mathlib.RingTheory.EssentialFiniteness
Cited by
1 results in Mathlib
Foundations
Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingCommRingCommRingAlgebraAlgebraAlgebraIsScalarTowerAlgebra.EssFiniteType
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

RingHom.EssFiniteType.comp_iff · cited by 0EssFiniteType.comp_iffCommRing · cited by 17173CommRingAlgebra · cited by 11388AlgebraIsScalarTower · cited by 3896IsScalarTowerAlgebra.EssFiniteType · cited by 68Algebra.EssFiniteTypeAlgebra.EssFiniteType.of_comp · cited by 8EssFiniteType.of_compAlgebra.EssFiniteType.comp · cited by 7EssFiniteType.compEssFiniteType.comp_iffCITED BYCITES

Cites6

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Cited by1

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