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Theorems · Definition · ring theory

RingHom.toNatAlgHom

{R : Type u_1} → {S : Type u_2} → [inst : Semiring R] → [inst_1 : Semiring S] → (R →+* S) → R →ₐ[ℕ] S

Reinterpret a RingHom as an ℕ-algebra homomorphism.

Defined in
Mathlib.Algebra.Algebra.Hom
Cited by
4 results in Mathlib
Foundations
Depth 28 from the axioms · uses propext, Quot.sound
Assumes
SemiringSemiring
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

RingEquiv.toNatAlgEquiv · cited by 6RingEquiv.toNatAlgEquivRingHom.equivNatAlgHom · cited by 2RingHom.equivNatAlgHomRingHom.toNatAlgHom_apply · cited by 0RingHom.toNatAlgHom_applyRingHom.toNatAlgHom_coe · cited by 0RingHom.toNatAlgHom_coeRingHom.equivNatAlgHom_apply · cited by 0RingHom.equivNatAlgHom_ap…RingEquiv.toAlgHom_toNatAlgEquiv · cited by 0RingEquiv.toAlgHom_toNatA…DFunLike.coe · cited by 62936DFunLike.coeSemiring · cited by 13802SemiringRingHom · cited by 10189RingHomAlgHom · cited by 3236AlgHomRingHom.toNatAlgHomCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by6

Results whose statement or proof uses this declaration.