Theorems · Definition · ring theory
RingEquiv.equivNatAlgEquiv
(R : Type u_1) → (S : Type u_2) → [inst : Semiring R] → [inst_1 : Semiring S] → R ≃+* S ≃ R ≃ₐ[ℕ] S
The equivalence between RingEquiv and ℕ-algebra isomorphisms.
- Defined in
- Mathlib.Algebra.Algebra.Equiv
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, 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.
- Semiringstatement and proof · cited by 13,802
- Equivstatement · cited by 8,337
- AlgEquivstatement · cited by 1,681
- RingEquivstatement · cited by 1,147
- AlgEquiv.toRingEquivproof · cited by 137
- RingEquiv.toNatAlgEquivproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- RingEquiv.equivNatAlgEquiv_applystatement and proof · cited by 0
- RingEquiv.equivNatAlgEquiv_symm_applystatement and proof · cited by 0
- RingEquiv.toNatAlgEquiv_injectiveproof · cited by 0