Theorems · Theorem · commutative algebra
RingHom.QuasiFinite.of_comp
∀ {T : Type u_3} [inst : CommRing T] {R : Type u_4} {S : Type u_5} [inst_1 : CommRing R] [inst_2 : CommRing S]
{f : S →+* T} {g : R →+* S}, (f.comp g).QuasiFinite → f.QuasiFinite- Defined in
- Mathlib.RingTheory.RingHom.QuasiFinite
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 110 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.QuasiFinitestatement and proof · cited by 21
- Algebra.QuasiFinite.of_restrictScalarsproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.Hom.quasiFiniteAtproof · cited by 2
- AlgebraicGeometry.LocallyQuasiFinite.of_compproof · cited by 1
- RingHom.QuasiFinite.comp_iffproof · cited by 1