Theorems · Definition · ring theory

AlgHomClass.toAlgHom

{R : Type u_1} →
  {A : Type u_2} →
    {B : Type u_3} →
      [inst : CommSemiring R] →
        [inst_1 : Semiring A] →
          [inst_2 : Semiring B] →
            [inst_3 : Algebra R A] →
              [inst_4 : Algebra R B] → {F : Type u_5} → [inst_5 : FunLike F A B] → [AlgHomClass F R A B] → F → A →ₐ[R] B

Turn an element of a type F satisfying AlgHomClass F α β into an actual AlgHom. This is declared as the default coercion from F to α →+* β.

Defined in

Mathlib.Algebra.Algebra.Hom

Cited by

14 results in Mathlib

Foundations

Depth 17 from the axioms · uses no axioms

Assumes

CommSemiringSemiringSemiringAlgebraAlgebraFunLikeAlgHomClass