Theorems · Theorem · functional analysis
OrthonormalBasis.coe_singleton
∀ {ι : Type u_7} {𝕜 : Type u_8} [inst : Unique ι] [inst_1 : RCLike 𝕜], ⇑(OrthonormalBasis.singleton ι 𝕜) = 1- Defined in
- Mathlib.Analysis.InnerProductSpace.PiL2
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 231 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RCLikestatement and proof · cited by 2,829
- Uniquestatement and proof · cited by 400
- OrthonormalBasisstatement · cited by 188
- OrthonormalBasis.singletonstatement · cited by 7
- OrthonormalBasis.singleton_applyproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- InnerProductSpace.toMatrix_rankOneproof · cited by 0