Theorems · Theorem · ring theory

Algebra.TensorProduct.lidOfCompatibleSMul_tmul

∀ (R : Type u_3) (S : Type u_4) (A : Type u_6) [inst : CommSemiring R] [inst_1 : CommSemiring S] [inst_2 : Semiring A]
  [inst_3 : Algebra R A] [inst_4 : Algebra S A] [inst_5 : Algebra R S] [inst_6 : TensorProduct.CompatibleSMul R S S A]
  [inst_7 : TensorProduct.CompatibleSMul S R S A] (s : S) (a : A),
  (Algebra.TensorProduct.lidOfCompatibleSMul R S A) (s ⊗ₜ[R] a) = s • a

Defined in

Mathlib.RingTheory.TensorProduct.Maps

Cited by

0 results in Mathlib

Foundations

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

Assumes

CommSemiringCommSemiringSemiringAlgebraAlgebraAlgebraTensorProduct.CompatibleSMulTensorProduct.CompatibleSMul