Mathlib Map

Theorems · Theorem · commutative algebra

RingHom.QuasiFinite.of_finite

∀ {T : Type u_3} [inst : CommRing T] {S : Type u_5} [inst_1 : CommRing S] {f : S →+* T}, f.Finite → f.QuasiFinite
Defined in
Mathlib.RingTheory.RingHom.QuasiFinite
Cited by
2 results in Mathlib
Foundations
Depth 102 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.QuasiFinite.respectsIso · cited by 4QuasiFinite.respectsIsoAlgebraicGeometry.Scheme.Hom.QuasiFiniteAt.quasiFiniteAt · cited by 1QuasiFiniteAt.quasiFinite…CommRing · cited by 17173CommRingAlgebra · cited by 11388AlgebraRingHom · cited by 10189RingHomRingHom.toAlgebra · cited by 337RingHom.toAlgebraRingHom.Finite · cited by 48RingHom.FiniteRingHom.QuasiFinite · cited by 21RingHom.QuasiFiniteQuasiFinite.of_finiteCITED BYCITES

Cites6

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.