Theorems · Definition · nonassociative algebras

NonUnitalAlgHomClass.toNonUnitalAlgHom

{F : Type u_3} →
  {R : Type u_4} →
    [inst : Monoid R] →
      {A : Type u_5} →
        {B : Type u_6} →
          [inst_1 : NonUnitalNonAssocSemiring A] →
            [inst_2 : DistribMulAction R A] →
              [inst_3 : NonUnitalNonAssocSemiring B] →
                [inst_4 : DistribMulAction R B] →
                  [inst_5 : FunLike F A B] → [NonUnitalAlgHomClass F R A B] → F → A →ₙₐ[R] B

Turn an element of a type F satisfying NonUnitalAlgHomClass F R A B into an actual @[coe] NonUnitalAlgHom. This is declared as the default coercion from F to A →ₛₙₐ[R] B.

Defined in

Mathlib.Algebra.Algebra.NonUnitalHom

Cited by

9 results in Mathlib

Foundations

Depth 15 from the axioms · uses no axioms

Assumes

MonoidNonUnitalNonAssocSemiringDistribMulActionNonUnitalNonAssocSemiringDistribMulActionFunLikeNonUnitalAlgHomClass