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The Lean 4 theorem `essentiallySelfAdjointOn_top_of_symmetric` in the `ChapterFarisLavineCore` chapter of the timepiece formalization

Proved
BookProof.FarisLavine.essentiallySelfAdjointOn_top_of_symmetric

by leonardopedro · Sep 13, 2026 · Mathlib 0df444a (Lean v4.33.1)

timepiece

The Lean 4 theorem essentiallySelfAdjointOn_top_of_symmetric in the ChapterFarisLavineCore chapter of the timepiece formalization.

Preamble
-- Generated from ChapterFarisLavineCore.lean — theorem BookProof.FarisLavine.essentiallySelfAdjointOn_top_of_symmetric
import Mathlib
import Definitions.Def_ChapterFarisLavineCore
open BookProof.FarisLavine












variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]
variable {D : Submodule ℂ F}
Formal statement
theorem BookProof.FarisLavine.essentiallySelfAdjointOn_top_of_symmetric [CompleteSpace F]
    (H : (⊤ : Submodule ℂ F) →ₗ[ℂ] F) (hH : SymmetricOn ⊤ H) :
    EssentiallySelfAdjointOn (⊤ : Submodule ℂ F) H := by sorry
Source
https://github.com/leonardopedro/timepiece/blob/61595bc/BookProof/ChapterFarisLavineCore.lean

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