Theorems · Definition · ring theory

NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom

{F : Type u_1} →
  {R : Type u_2} →
    {A : Type u_3} →
      {B : Type u_4} →
        [inst : Monoid R] →
          [inst_1 : NonUnitalNonAssocSemiring A] →
            [inst_2 : DistribMulAction R A] →
              [inst_3 : Star A] →
                [inst_4 : NonUnitalNonAssocSemiring B] →
                  [inst_5 : DistribMulAction R B] →
                    [inst_6 : Star B] →
                      [inst_7 : FunLike F A B] → [NonUnitalAlgHomClass F R A B] → [StarHomClass F A B] → F → A →⋆ₙₐ[R] B

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

Defined in

Mathlib.Algebra.Star.StarAlgHom

Cited by

23 results in Mathlib

Foundations

Depth 16 from the axioms · uses no axioms

Assumes

MonoidNonUnitalNonAssocSemiringDistribMulActionStarNonUnitalNonAssocSemiringDistribMulActionStarFunLikeNonUnitalAlgHomClassStarHomClass