Theorems · Theorem · functional analysis

TensorProduct.mapInclIsometry_apply

∀ {𝕜 : Type u_1} {E : Type u_2} {F : Type u_3} [inst : RCLike 𝕜] [inst_1 : NormedAddCommGroup E]
  [inst_2 : InnerProductSpace 𝕜 E] [inst_3 : NormedAddCommGroup F] [inst_4 : InnerProductSpace 𝕜 F] (E' : Submodule 𝕜 E)
  (F' : Submodule 𝕜 F) (x : TensorProduct 𝕜 ↥E' ↥F'),
  (TensorProduct.mapInclIsometry E' F') x = (TensorProduct.mapIncl E' F') x

Defined in

Mathlib.Analysis.InnerProductSpace.TensorProduct

Cited by

0 results in Mathlib

Foundations

Depth 246 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RCLikeNormedAddCommGroupInnerProductSpaceNormedAddCommGroupInnerProductSpace