Theorems · Definition · ring theory
RingEquiv.equivIntAlgEquiv
(R : Type u_1) → (S : Type u_2) → [inst : Ring R] → [inst_1 : Ring S] → R ≃+* S ≃ R ≃ₐ[ℤ] S
The equivalence between RingEquiv and ℤ-algebra isomorphisms.
- Defined in
- Mathlib.Algebra.Algebra.Equiv
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 50 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.
- Equivstatement · cited by 8,337
- Ringstatement and proof · cited by 7,463
- AlgEquivstatement · cited by 1,681
- RingEquivstatement · cited by 1,147
- AlgEquiv.toRingEquivproof · cited by 137
- RingEquiv.toIntAlgEquivproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- RingEquiv.toIntAlgEquiv_injectiveproof · cited by 0
- RingEquiv.equivIntAlgEquiv_applystatement and proof · cited by 0
- RingEquiv.equivIntAlgEquiv_symm_applystatement and proof · cited by 0