Theorems · Theorem · commutative algebra

RingHom.FinitePresentation.comp_surjective

∀ {A : Type u_1} {B : Type u_2} {C : Type u_3} [inst : CommRing A] [inst_1 : CommRing B] [inst_2 : CommRing C]
  {f : A →+* B} {g : B →+* C},
  f.FinitePresentation → Function.Surjective ⇑g → (RingHom.ker g).FG → (g.comp f).FinitePresentation

Defined in

Mathlib.RingTheory.FinitePresentation

Cited by

2 results in Mathlib

Foundations

Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingCommRing