Theorems · Definition · ring theory
RingEquiv.toIntAlgEquiv
{R : Type u_1} → {S : Type u_2} → [inst : Ring R] → [inst_1 : Ring S] → R ≃+* S → R ≃ₐ[ℤ] SReinterpret a RingEquiv as a ℤ-algebra isomorphism.
- Defined in
- Mathlib.Algebra.Algebra.Equiv
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 48 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivproof · cited by 8,337
- Ringstatement and proof · cited by 7,463
- AlgHomproof · cited by 3,236
- AlgEquivstatement · cited by 1,681
- RingEquivstatement and proof · cited by 1,147
- RingEquiv.toRingHomproof · cited by 150
- EquivLike.toEquivproof · cited by 125
- RingHom.toIntAlgHomproof · cited by 15
Cited by7
Results whose statement or proof uses this declaration.
- RingEquiv.equivIntAlgEquivproof · cited by 3
- RingEquiv.symm_toIntAlgEquivstatement · cited by 0
- RingEquiv.toIntAlgEquiv_applystatement and proof · cited by 0
- RingEquiv.toIntAlgEquiv_injectivestatement · cited by 0
- RingEquiv.equivIntAlgEquiv_applystatement · cited by 0
- RingEquiv.toAlgHom_toIntAlgEquivstatement · cited by 0
- RingEquiv.coe_toIntAlgEquivstatement · cited by 0