Theorems · Definition · ring theory

Bialgebra.TensorProduct.lid

(R : Type u_1) →
  (B : Type u_4) →
    [inst : CommSemiring R] → [inst_1 : Semiring B] → [inst_2 : Bialgebra R B] → TensorProduct R R B ≃ₐc[R] B

The base ring is a left identity for the tensor product of bialgebras, up to bialgebra equivalence.

Defined in

Mathlib.RingTheory.Bialgebra.TensorProduct

Cited by

6 results in Mathlib

Foundations

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

Assumes

CommSemiringSemiringBialgebra