Theorems · Definition · ring theory
RingEquiv.toNatAlgEquiv
{R : Type u_1} → {S : Type u_2} → [inst : Semiring R] → [inst_1 : Semiring S] → R ≃+* S → R ≃ₐ[ℕ] SReinterpret a RingEquiv as an ℕ-algebra isomorphism.
- Defined in
- Mathlib.Algebra.Algebra.Equiv
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 30 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.
- Semiringstatement and proof · cited by 13,802
- Equivproof · cited by 8,337
- 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.toNatAlgHomproof · cited by 4
Cited by7
Results whose statement or proof uses this declaration.
- RingEquiv.equivNatAlgEquivproof · cited by 3
- RingEquiv.equivNatAlgEquiv_applystatement · cited by 0
- RingEquiv.toNatAlgEquiv_injectivestatement · cited by 0
- RingEquiv.coe_toNatAlgEquivstatement · cited by 0
- RingEquiv.symm_toNatAlgEquivstatement · cited by 0
- RingEquiv.toAlgHom_toNatAlgEquivstatement · cited by 0
- RingEquiv.toNatAlgEquiv_applystatement and proof · cited by 0