Theorems · Theorem · commutative algebra
RingHom.Finite.comp
∀ {A : Type u_1} {B : Type u_2} {C : Type u_3} [inst : CommRing A] [inst_1 : CommRing B] [inst_2 : CommRing C]
{g : B →+* C} {f : A →+* B}, g.Finite → f.Finite → (g.comp f).Finite- Defined in
- Mathlib.RingTheory.Finiteness.Basic
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Algebraproof · cited by 11,388
- RingHomstatement and proof · cited by 10,189
- Algebra.algebraMapproof · cited by 4,706
- IsScalarTowerproof · cited by 3,896
- RingHom.compstatement and proof · cited by 899
- RingHom.toAlgebraproof · cited by 337
- IsScalarTower.of_algebraMap_eq'proof · cited by 101
- RingHom.Finitestatement and proof · cited by 48
- Module.Finite.transproof · cited by 16
Cited by7
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.Hom.finrank_SpecMap_eq_finrankproof · cited by 6
- Algebra.exists_etale_isIdempotentElem_forall_liesOver_eq_aux₂proof · cited by 1
- Algebra.not_isStronglyTranscendental_of_weaklyQuasiFiniteAtproof · cited by 1
- RingHom.finite_stableUnderCompositionproof · cited by 1
- RingHom.finrank_comp_right_of_bijectiveproof · cited by 1
- AlgHom.Finite.compproof · cited by 0
- RingHom.Finite.tensorProductMapproof · cited by 0