Theorems · Definition · ring theory

BialgHomClass.toBialgHom

{R : Type u_1} →
  {A : Type u_2} →
    {B : Type u_3} →
      {F : Type u_4} →
        [inst : CommSemiring R] →
          [inst_1 : Semiring A] →
            [inst_2 : Algebra R A] →
              [inst_3 : Semiring B] →
                [inst_4 : Algebra R B] →
                  [inst_5 : CoalgebraStruct R A] →
                    [inst_6 : CoalgebraStruct R B] → [inst_7 : FunLike F A B] → [BialgHomClass F R A B] → F → A →ₐc[R] B

Turn an element of a type F satisfying BialgHomClass F R A B into an actual BialgHom. This is declared as the default coercion from F to A →ₐc[R] B.

Defined in

Mathlib.RingTheory.Bialgebra.Hom

Cited by

23 results in Mathlib

Foundations

Depth 62 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiringAlgebraSemiringAlgebraCoalgebraStructCoalgebraStructFunLikeBialgHomClass