Theorems · Definition · linear algebra

TensorProduct.AlgebraTensorModule.lTensor

{R : Type uR} →
  (A : Type uA) →
    (M : Type uM) →
      {N : Type uN} →
        {Q : Type uQ} →
          [inst : CommSemiring R] →
            [inst_1 : Semiring A] →
              [inst_2 : Algebra R A] →
                [inst_3 : AddCommMonoid M] →
                  [inst_4 : Module R M] →
                    [inst_5 : Module A M] →
                      [inst_6 : IsScalarTower R A M] →
                        [inst_7 : AddCommMonoid N] →
                          [inst_8 : Module R N] →
                            [inst_9 : AddCommMonoid Q] →
                              [inst_10 : Module R Q] → (N →ₗ[R] Q) →ₗ[R] TensorProduct R M N →ₗ[A] TensorProduct R M Q

Heterobasic version of LinearMap.lTensor

Defined in

Mathlib.LinearAlgebra.TensorProduct.Tower

Cited by

32 results in Mathlib

Foundations

Depth 73 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiringAlgebraAddCommMonoidModuleModuleIsScalarTowerAddCommMonoidModuleAddCommMonoidModule