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Theorems · Theorem · commutative algebra

AlgHom.Finite.of_comp_finite

∀ {R : Type u_1} {A : Type u_2} {B : Type u_3} {C : Type u_4} [inst : CommRing R] [inst_1 : CommRing A]
  [inst_2 : CommRing B] [inst_3 : CommRing C] [inst_4 : Algebra R A] [inst_5 : Algebra R B] [inst_6 : Algebra R C]
  {f : A →ₐ[R] B} {g : B →ₐ[R] C}, (g.comp f).Finite → g.Finite
Defined in
Mathlib.RingTheory.Finiteness.Basic
Cited by
0 results in Mathlib
Foundations
Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingCommRingCommRingCommRingAlgebraAlgebraAlgebra
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CommRing · cited by 17173CommRingAlgebra · cited by 11388AlgebraAlgHom · cited by 3236AlgHomAlgHom.comp · cited by 501AlgHom.compAlgHom.Finite · cited by 11AlgHom.FiniteRingHom.Finite.of_comp_finite · cited by 2Finite.of_comp_finiteFinite.of_comp_finiteCITED BYCITES

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