Theorems · Theorem · commutative algebra
RingHom.QuasiFinite.comp_iff
∀ {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}, g.QuasiFinite → ((f.comp g).QuasiFinite ↔ f.QuasiFinite)- Defined in
- Mathlib.RingTheory.RingHom.QuasiFinite
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- RingHomstatement and proof · cited by 10,189
- RingHom.compstatement · cited by 899
- RingHom.QuasiFinitestatement and proof · cited by 21
- RingHom.QuasiFinite.of_compproof · cited by 4
- RingHom.QuasiFinite.compproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.Hom.quasiFiniteAt_comp_iffproof · cited by 2