eigenvectorBasis_def — Mathlib

English

The eigenvector basis is the canonical orthonormal basis formed by eigenvectors as above.

Русский

Базис собственных векторов — канонический ортонормированный базис из собственных векторов.

LaTeX

$$$$ \text{Eigenvector basis is an orthonormal basis of eigenvectors.} $$$$

Lean4

theorem eigenvectorBasis_def : eta_helper Eq✝ @eigenvectorBasis.{} @(delta% @definition✝) :=
  by
  intros
  delta eigenvectorBasis
  rw [show wrapped✝ = ⟨@definition✝.{}, rfl✝⟩ from Subtype.ext✝ wrapped✝.2.symm✝]
  rfl

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