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The Lean 4 theorem `fiberSumHam_essentiallySelfAdjoint_of_bddBelow_prime` in the `ChapterBddBelowFiberSumEsa` chapter of the timepiece formalization

Proved
BookProof.BddBelowFiberSumEsa.fiberSumHam_essentiallySelfAdjoint_of_bddBelow_prime

by leonardopedro · Oct 5, 2026 · Mathlib 0df444a (Lean v4.33.1)

timepiece

The Lean 4 theorem fiberSumHam_essentiallySelfAdjoint_of_bddBelow' in the ChapterBddBelowFiberSumEsa chapter of the timepiece formalization.

Preamble
-- Generated from ChapterBddBelowFiberSumEsa.lean — theorem BookProof.BddBelowFiberSumEsa.fiberSumHam_essentiallySelfAdjoint_of_bddBelow'
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterScalaronCoreEsa
import Definitions.Def_ChapterScalaronWallEsa
import Definitions.Def_ChapterA4
import Definitions.Def_ChapterWallEsaSemibounded
import Definitions.Def_ChapterDirectSumEsa
import Mathlib
import Definitions.Def_ChapterBddBelowFiberSumEsa
import Definitions.Def_ChapterFarisLavineCore
open BookProof.BddBelowFiberSumEsa

variable {ι : Type*}



open MeasureTheory
open BookProof.FarisLavine BookProof.ScalaronEsa BookProof.ScalaronWallEsa

noncomputable section
Formal statement
theorem BookProof.BddBelowFiberSumEsa.fiberSumHam_essentiallySelfAdjoint_of_bddBelow_prime (V : ι → ℝ → ℝ)
    (hV : ∀ i, ContDiff ℝ ((⊤ : ℕ∞) : WithTop ℕ∞) (V i))
    (hbdd : ∀ i, BddBelow (Set.range (V i))) :
    EssentiallySelfAdjointOn (fiberCore ι) (fiberSumHam V hV) := by sorry
Source
https://github.com/leonardopedro/timepiece/blob/61595bc/BookProof/ChapterBddBelowFiberSumEsa.lean

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