`BookProof.ChapterSolovayTailDimension.substrate_infinite_dimensional` : ¬ FiniteDimensional ℝ Substrate

Proved

BookProof.ChapterSolovayTailDimension.substrate_infinite_dimensional

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSolovayTailDimension.

BookProof.ChapterSolovayTailDimension.substrate_infinite_dimensional : ¬ FiniteDimensional ℝ Substrate

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

Preamble

-- Generated from ChapterSolovayTailDimension.lean — theorem BookProof.ChapterSolovayTailDimension.substrate_infinite_dimensional
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.substrate_infinite_dimensional : ¬ FiniteDimensional ℝ Substrate := by sorry

View graph