Theorems · Theorem · ring theory

Coalgebra.Repr.mul_index

∀ {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} (ℛ₁ : Coalgebra.Repr R a ι) (ℛ₂ : Coalgebra.Repr R b κ),
  (ℛ₁.mul ℛ₂).index = ℛ₁.index ×ˢ ℛ₂.index

Defined in

Mathlib.RingTheory.Bialgebra.TensorProduct

Cited by

1 results in Mathlib

Foundations

Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringSemiringBialgebra