Theorems · Theorem · functional analysis
Complex.coe_orthonormalBasisOneI
⇑Complex.orthonormalBasisOneI = ![1, Complex.I]
- Defined in
- Mathlib.Analysis.InnerProductSpace.PiL2
- Cited by
- 2 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement · cited by 25,697
- Complexstatement · cited by 5,565
- Complex.Istatement and proof · cited by 866
- Matrix.vecConsstatement and proof · cited by 852
- Matrix.vecEmptystatement and proof · cited by 832
- OrthonormalBasisstatement · cited by 188
- Complex.basisOneIproof · cited by 16
- Complex.orthonormalBasisOneIstatement · cited by 10
- Module.Basis.coe_toOrthonormalBasisproof · cited by 6
- Complex.coe_basisOneIproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- InnerProductSpace.laplacian_eq_iteratedFDeriv_complexPlaneproof · cited by 2
- InnerProductSpace.laplacianWithin_eq_iteratedFDerivWithin_complexPlaneproof · cited by 0