Theorems · Theorem · functional analysis
OrthonormalBasis.enorm_eq_one
∀ {ι : Type u_1} {𝕜 : Type u_3} [inst : RCLike 𝕜] {E : Type u_4} [inst_1 : NormedAddCommGroup E]
[inst_2 : InnerProductSpace 𝕜 E] [inst_3 : Fintype ι] (b : OrthonormalBasis ι 𝕜 E) (i : ι), ‖b i‖ₑ = 1- Defined in
- Mathlib.Analysis.InnerProductSpace.PiL2
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 230 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- NormedAddCommGroupstatement and proof · cited by 15,752
- ENNRealstatement · cited by 9,879
- Fintypestatement and proof · cited by 7,736
- InnerProductSpacestatement and proof · cited by 3,523
- RCLikestatement and proof · cited by 2,829
- ENorm.enormstatement · cited by 715
- OrthonormalBasisstatement and proof · cited by 188
- OrthonormalBasis.orthonormalproof · cited by 14
- Orthonormal.enorm_eq_oneproof · cited by 1
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