Theorems · Definition · ring theory

Coalgebra.Repr.mul

{R : Type u_1} →
  {A : Type u_2} →
    {ι : Type u_4} →
      {κ : Type u_5} →
        [inst : CommSemiring R] →
          [inst_1 : Semiring A] →
            [inst_2 : Bialgebra R A] →
              {a b : A} → Coalgebra.Repr R a ι → Coalgebra.Repr R b κ → Coalgebra.Repr R (a * b) (ι × κ)

Representations of a and b yield a representation of a * b.

Defined in

Mathlib.RingTheory.Bialgebra.TensorProduct

Cited by

4 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringSemiringBialgebra