`BookProof.ChapterSolovayCoordinates.tailTensorEquiv_map` : Measure.map tailTensorEquiv (coordinateTailMeasure.prod coordinateTailMeasure) = coordinateTailMeasure

Proved

BookProof.ChapterSolovayCoordinates.tailTensorEquiv_map

by leonardopedro · Oct 21, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSolovayCoordinates.

BookProof.ChapterSolovayCoordinates.tailTensorEquiv_map : Measure.map tailTensorEquiv (coordinateTailMeasure.prod coordinateTailMeasure) = coordinateTailMeasure

Formalization note: Lean 4 identifier BookProof.ChapterSolovayCoordinates.tailTensorEquiv_map.

Preamble

-- Generated from ChapterSolovayCoordinates.lean — theorem BookProof.ChapterSolovayCoordinates.tailTensorEquiv_map
import Mathlib
import Definitions.Def_ChapterSolovayCoordinates
open BookProof.ChapterSolovayCoordinates


open MeasureTheory ProbabilityTheory
open scoped ENNReal

noncomputable section

Formal statement

theorem BookProof.ChapterSolovayCoordinates.tailTensorEquiv_map :
    Measure.map tailTensorEquiv
      (coordinateTailMeasure.prod coordinateTailMeasure) = coordinateTailMeasure := by sorry

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