Theorems · Theorem · ring theory

Bialgebra.TensorProduct.rid_tmul

∀ {R : Type u_1} {S : Type u_2} {A : Type u_3} [inst : CommSemiring R] [inst_1 : CommSemiring S] [inst_2 : Semiring A]
  [inst_3 : Bialgebra S A] [inst_4 : Algebra R A] [inst_5 : Algebra R S] [inst_6 : IsScalarTower R S A] (r : R) (a : A),
  (Bialgebra.TensorProduct.rid R S A) (a ⊗ₜ[R] r) = r • a

Defined in

Mathlib.RingTheory.Bialgebra.TensorProduct

Cited by

0 results in Mathlib

Foundations

Depth 83 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringCommSemiringSemiringBialgebraAlgebraAlgebraIsScalarTower