Theorems · Theorem · operator theory

InnerProductSpace.isSymmetric_rankOne_self

∀ {𝕜 : Type u_1} {E : Type u_2} [inst : RCLike 𝕜] [inst_1 : SeminormedAddCommGroup E] [inst_2 : InnerProductSpace 𝕜 E]
  (x : E), (↑(((InnerProductSpace.rankOne 𝕜) x) x)).IsSymmetric

Defined in

Mathlib.Analysis.InnerProductSpace.Symmetric

Cited by

1 results in Mathlib

Foundations

Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RCLikeSeminormedAddCommGroupInnerProductSpace