Theorems · Theorem · functional analysis

OrthonormalBasis.toBasis_mulOpposite

∀ {𝕜 : Type u_1} [inst : RCLike 𝕜] {ι : Type u_3} {H : Type u_4} [inst_1 : NormedAddCommGroup H]
  [inst_2 : InnerProductSpace 𝕜 H] [inst_3 : Fintype ι] (b : OrthonormalBasis ι 𝕜 H),
  b.mulOpposite.toBasis = b.toBasis.mulOpposite

Defined in: Mathlib.Analysis.InnerProductSpace.MulOpposite
Cited by: 0 results in Mathlib
Foundations: Depth 231 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: RCLike NormedAddCommGroup InnerProductSpace Fintype

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NormedAddCommGroupstatement and proof · cited by 15,752
Fintypestatement and proof · cited by 7,736
InnerProductSpacestatement and proof · cited by 3,523
RCLikestatement and proof · cited by 2,829
Module.Basisstatement · cited by 1,477
MulOppositestatement · cited by 1,135
OrthonormalBasisstatement and proof · cited by 188
OrthonormalBasis.toBasisstatement · cited by 102
Module.Basis.mulOppositestatement · cited by 7
OrthonormalBasis.mulOppositestatement · cited by 1

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