Mathlib Map

Theorems · Definition · commutative algebra

RingHom.EssFiniteType.finset

{R : Type u_1} →
  {S : Type u_2} → [inst : CommRing R] → [inst_1 : CommRing S] → {f : R →+* S} → f.EssFiniteType → Finset S

A choice of "essential generators" for a ring hom essentially of finite type. See Algebra.EssFiniteType.ext.

Defined in
Mathlib.RingTheory.EssentialFiniteness
Cited by
2 results in Mathlib
Foundations
Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingCommRing
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

RingHom.EssFiniteType.ext · cited by 1EssFiniteType.extRingHom.EssFiniteType.exists_comp_map_eq_of_isColimit · cited by 1EssFiniteType.exists_comp…CommRing · cited by 17173CommRingFinset · cited by 13712FinsetRingHom · cited by 10189RingHomRingHom.EssFiniteType · cited by 14RingHom.EssFiniteTypeAlgebra.EssFiniteType.finset · cited by 5EssFiniteType.finsetEssFiniteType.finsetCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.