`BookProof.ChapterSolovayTailDimension.substrateBasisVector_orthonormal` : Orthonormal ℝ substrateBasisVector

Proved

BookProof.ChapterSolovayTailDimension.substrateBasisVector_orthonormal

by leonardopedro · Oct 25, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSolovayTailDimension.

BookProof.ChapterSolovayTailDimension.substrateBasisVector_orthonormal : Orthonormal ℝ substrateBasisVector

Formalization note: Lean 4 identifier BookProof.ChapterSolovayTailDimension.substrateBasisVector_orthonormal.

Preamble

-- Generated from ChapterSolovayTailDimension.lean — theorem BookProof.ChapterSolovayTailDimension.substrateBasisVector_orthonormal
import Mathlib
import Definitions.Def_ChapterSolovayTailDimension
import Definitions.Def_PhysMeasureBasis
open PhysMeasureBasis
open BookProof.ChapterSolovayTailDimension


noncomputable section

open MeasureTheory Set PhysMehler PhysMeasureBasis
open scoped ENNReal

Formal statement

theorem BookProof.ChapterSolovayTailDimension.substrateBasisVector_orthonormal : Orthonormal ℝ substrateBasisVector := by sorry

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