Complex.isometryOfOrthonormal

{F : Type u_5} →
  [inst : NormedAddCommGroup F] → [inst_1 : InnerProductSpace ℝ F] → OrthonormalBasis (Fin 2) ℝ F → ℂ ≃ₗᵢ[ℝ] F

The isometry between ℂ and a two-dimensional real inner product space given by a basis.

Defined in: Mathlib.Analysis.InnerProductSpace.PiL2
Cited by: 3 results in Mathlib
Foundations: Depth 230 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NormedAddCommGroup InnerProductSpace

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