The Lean 4 theorem `essentiallySelfAdjointOn_add_bounded_prime` in the `ChapterKatoRellichRelative` chapter of the timepiece formalization
ProvedBookProof.KatoRellich.essentiallySelfAdjointOn_add_bounded_primetimepiece
The Lean 4 theorem essentiallySelfAdjointOn_add_bounded' in the ChapterKatoRellichRelative chapter of the timepiece formalization.
Preamble
-- Generated from ChapterKatoRellichRelative.lean — theorem BookProof.KatoRellich.essentiallySelfAdjointOn_add_bounded'
import Definitions.Def_ChapterFarisLavine
import Mathlib
import Definitions.Def_ChapterKatoRellichRelative
import Definitions.Def_ChapterFarisLavineCore
import Definitions.Def_ChapterA4
variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F] {D : Submodule ℂ F}
open BookProof.FarisLavineFormal statement
theorem BookProof.KatoRellich.essentiallySelfAdjointOn_add_bounded_prime [CompleteSpace F] (H : D →ₗ[ℂ] F)
(hH : SymmetricOn D H) (hesa : EssentiallySelfAdjointOn D H) (B : F →L[ℂ] F)
(hB : ∀ x y : F, (inner ℂ (B x) y : ℂ) = inner ℂ x (B y)) :
EssentiallySelfAdjointOn D (H + (B.toLinearMap ∘ₗ D.subtype)) := by sorrySource