Theorems · Theorem · commutative algebra

Algebra.TensorProduct.mul_one

∀ {R : Type uR} {A : Type uA} {B : Type uB} [inst : CommSemiring R] [inst_1 : NonAssocSemiring A] [inst_2 : Module R A]
  [inst_3 : SMulCommClass R A A] [inst_4 : IsScalarTower R A A] [inst_5 : NonAssocSemiring B] [inst_6 : Module R B]
  [inst_7 : SMulCommClass R B B] [inst_8 : IsScalarTower R B B] (x : TensorProduct R A B),
  (Algebra.TensorProduct.mul x) (1 ⊗ₜ[R] 1) = x

Defined in

Mathlib.RingTheory.TensorProduct.Basic

Cited by

0 results in Mathlib

Foundations

Depth 67 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringNonAssocSemiringModuleSMulCommClassIsScalarTowerNonAssocSemiringModuleSMulCommClassIsScalarTower