Theorems · Definition · functional analysis

TensorProduct.assocIsometry

(𝕜 : Type u_1) →
  (E : Type u_2) →
    (F : Type u_3) →
      (G : Type u_4) →
        [inst : RCLike 𝕜] →
          [inst_1 : NormedAddCommGroup E] →
            [inst_2 : InnerProductSpace 𝕜 E] →
              [inst_3 : NormedAddCommGroup F] →
                [inst_4 : InnerProductSpace 𝕜 F] →
                  [inst_5 : NormedAddCommGroup G] →
                    [inst_6 : InnerProductSpace 𝕜 G] →
                      TensorProduct 𝕜 (TensorProduct 𝕜 E F) G ≃ₗᵢ[𝕜] TensorProduct 𝕜 E (TensorProduct 𝕜 F G)

The linear isometry equivalence version of TensorProduct.assoc.

Defined in

Mathlib.Analysis.InnerProductSpace.TensorProduct

Cited by

7 results in Mathlib

Foundations

Depth 245 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RCLikeNormedAddCommGroupInnerProductSpaceNormedAddCommGroupInnerProductSpaceNormedAddCommGroupInnerProductSpace