Theorems · Theorem · functional analysis
HilbertBasis.orthonormal
∀ {ι : Type u_1} {𝕜 : Type u_2} [inst : RCLike 𝕜] {E : Type u_3} [inst_1 : NormedAddCommGroup E]
[inst_2 : InnerProductSpace 𝕜 E] (b : HilbertBasis ι 𝕜 E), Orthonormal 𝕜 ⇑b- Cited by
- 1 results in Mathlib
- Foundations
- Depth 234 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- NormedAddCommGroupstatement and proof · cited by 15,752
- mul_oneproof · cited by 3,885
- InnerProductSpacestatement and proof · cited by 3,523
- RCLikestatement and proof · cited by 2,829
- Inner.innerproof · cited by 1,089
- map_oneproof · cited by 861
- starRingEndproof · cited by 671
- PreLpproof · cited by 163
- lpproof · cited by 157
- Orthonormalstatement · cited by 85
- Pi.single_applyproof · cited by 78
Cited by2
Results whose statement or proof uses this declaration.
- HilbertBasis.toOrthonormalBasisproof · cited by 1
- HilbertBasis.coe_toOrthonormalBasisproof · cited by 0