Theorems · Theorem · ring theory

BialgHom.map_comp_comulAlgHom

∀ {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 : Bialgebra R A] [inst_4 : Bialgebra R B] (f : A →ₐc[R] B),
  (Algebra.TensorProduct.map ↑f ↑f).comp (Bialgebra.comulAlgHom R A) = (Bialgebra.comulAlgHom R B).comp ↑f

Defined in

Mathlib.RingTheory.Bialgebra.Hom

Cited by

1 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiringSemiringBialgebraBialgebra