Theorems · Definition · ring theory

StarAlgHomClass.toStarAlgHom

{F : Type u_1} →
  {R : Type u_2} →
    {A : Type u_3} →
      {B : Type u_4} →
        [inst : CommSemiring R] →
          [inst_1 : Semiring A] →
            [inst_2 : Algebra R A] →
              [inst_3 : Star A] →
                [inst_4 : Semiring B] →
                  [inst_5 : Algebra R B] →
                    [inst_6 : Star B] →
                      [inst_7 : FunLike F A B] → [AlgHomClass F R A B] → [StarHomClass F A B] → F → A →⋆ₐ[R] B

Turn an element of a type F satisfying AlgHomClass F R A B and StarHomClass F A B into an actual StarAlgHom. This is declared as the default coercion from F to A →⋆ₐ[R] B.

Defined in

Mathlib.Algebra.Star.StarAlgHom

Cited by

7 results in Mathlib

Foundations

Depth 18 from the axioms · uses no axioms

Assumes

CommSemiringSemiringAlgebraStarSemiringAlgebraStarFunLikeAlgHomClassStarHomClass