Theorems · Definition · linear algebra
Complex.basisOneI
Module.Basis (Fin 2) ℝ ℂ
ℂ has a basis over ℝ given by 1 and I.
- Defined in
- Mathlib.LinearAlgebra.Complex.Module
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Complex.ofRealproof · cited by 1,654
- Module.Basisstatement · cited by 1,477
- Complex.reproof · cited by 882
- Complex.Iproof · cited by 866
- Matrix.vecConsproof · cited by 852
- Matrix.vecEmptyproof · cited by 832
- Complex.improof · cited by 591
- Module.Basis.ofEquivFunproof · cited by 7
Cited by20
Results whose statement or proof uses this declaration.
- Complex.finrank_real_complexproof · cited by 11
- Complex.orientationproof · cited by 10
- Complex.orthonormalBasisOneIproof · cited by 10
- NumberField.mixedEmbedding.stdBasisproof · cited by 10
- Complex.coe_basisOneIstatement and proof · cited by 5
- Complex.measurableEquivPiproof · cited by 5
- Complex.det_conjAeproof · cited by 3
- Complex.areaFormproof · cited by 3
- Algebra.leftMulMatrix_complexstatement and proof · cited by 2
- Complex.coe_orthonormalBasisOneIproof · cited by 2
- Complex.volume_preserving_equiv_piproof · cited by 2
- Algebra.norm_complex_applyproof · cited by 1