Theorems · Theorem · commutative algebra
RingEquiv.finite
∀ {A : Type u_1} {B : Type u_2} [inst : CommRing A] [inst_1 : CommRing B] (e : A ≃+* B), e.toRingHom.Finite- Defined in
- Mathlib.RingTheory.Finiteness.Basic
- Cited by
- 5 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.
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
- RingEquivstatement and proof · cited by 1,147
- RingEquiv.toRingHomstatement and proof · cited by 150
- RingHom.Finitestatement · cited by 48
- RingEquiv.surjectiveproof · cited by 28
- RingHom.Finite.of_surjectiveproof · cited by 8
Cited by5
Results whose statement or proof uses this declaration.
- RingHom.QuasiFinite.respectsIsoproof · cited by 4
- Algebra.exists_etale_isIdempotentElem_forall_liesOver_eq_aux₂proof · cited by 1
- CommRingCat.essentiallySmall_of_finiteTypeproof · cited by 1
- AlgebraicGeometry.Scheme.Hom.QuasiFiniteAt.quasiFiniteAtproof · cited by 1
- RingHom.Finite.tensorProductMapproof · cited by 0