Theorems · Theorem · ring theory

AddMonoidAlgebra.convMul_bialgHom_single_one

∀ {R : Type u_1} {A : Type u_3} {M : Type u_8} [inst : CommSemiring R] [inst_1 : CommSemiring A]
  [inst_2 : Bialgebra R A] [inst_3 : AddCommMonoid M] (f g : WithConv (AddMonoidAlgebra R M →ₐc[R] A)) (x : M),
  (f * g).ofConv (AddMonoidAlgebra.single x 1) =
    f.ofConv (AddMonoidAlgebra.single x 1) * g.ofConv (AddMonoidAlgebra.single x 1)

Defined in

Mathlib.RingTheory.Bialgebra.MonoidAlgebra

Cited by

1 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringCommSemiringBialgebraAddCommMonoid