Theorems · Theorem · commutative algebra
RingHom.EssFiniteType.of_comp
∀ {R : Type u_1} {S : Type u_2} {T : Type u_3} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : CommRing T]
(f : R →+* S) {g : S →+* T}, (g.comp f).EssFiniteType → g.EssFiniteType- Defined in
- Mathlib.RingTheory.RingHom.EssFiniteType
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 75 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.EssFiniteTypestatement and proof · cited by 14
- Algebra.EssFiniteType.of_compproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- RingHom.EssFiniteType.residueFieldMapproof · cited by 0