Theorems · Theorem · linear algebra

TensorProduct.CompatibleSMul.of_algebraMap_surjective

∀ {R : Type u_1} [inst : CommSemiring R] (M : Type u_5) (N : Type u_6) [inst_1 : AddCommMonoid M]
  [inst_2 : AddCommMonoid N] [inst_3 : Module R M] [inst_4 : Module R N] {A : Type u_11} [inst_5 : CommSemiring A]
  [inst_6 : Algebra R A] [inst_7 : Module A M] [IsScalarTower R A M] [inst_9 : Module A N] [IsScalarTower R A N],
  Function.Surjective ⇑(algebraMap R A) → TensorProduct.CompatibleSMul R A M N

Defined in

Mathlib.LinearAlgebra.TensorProduct.Associator

Cited by

1 results in Mathlib

Foundations

Depth 50 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringAddCommMonoidAddCommMonoidModuleModuleCommSemiringAlgebraModuleIsScalarTowerModuleIsScalarTower