neg — Mathlib

English

The natural equivalence between ((E × E₂) × E₃) and (E × (E₂ × E₃)) is a linear isometry.

Русский

Естественное равенство между ((E × E₂) × E₃) и (E × (E₂ × E₃)) является линейной изометрией.

LaTeX

$$prodAssoc : ((E × E₂) × E₃) ≃ₗᵢ[R] (E × (E₂ × E₃))$$

Lean4

/-- The negation operation on a normed space `E`, considered as a linear isometry equivalence. -/
def neg : E ≃ₗᵢ[R] E :=
  { LinearEquiv.neg R with norm_map' := norm_neg }

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