The Lean 4 theorem `friedrichs_of_bounded` in the `ChapterYangMillsFriedrichsLimit` chapter of the timepiece formalization
ProvedBookProof.YangMillsFriedrichsLimit.friedrichs_of_boundedtimepiece
The Lean 4 theorem friedrichs_of_bounded in the ChapterYangMillsFriedrichsLimit chapter of the timepiece formalization.
Preamble
-- Generated from ChapterYangMillsFriedrichsLimit.lean — theorem BookProof.YangMillsFriedrichsLimit.friedrichs_of_bounded
import Mathlib
import Definitions.Def_ChapterYangMillsFriedrichsLimit
open BookProof.YangMillsFriedrichsLimit
open BookProof.FarisLavine BookProof.YangMillsFriedrichs
variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]Formal statement
theorem BookProof.YangMillsFriedrichsLimit.friedrichs_of_bounded [CompleteSpace F] {D : Submodule ℂ F} (H : D →ₗ[ℂ] F)
(hdense : Dense (D : Set F)) (hsym : SymmetricOn D H)
(hpos : ∀ x : D, 0 ≤ quadForm H x) (C : ℝ) (hbd : ∀ x : D, ‖H x‖ ≤ C * ‖(x : F)‖) :
∃ A : F →L[ℂ] F, (∀ x : D, A (x : F) = H x) ∧
IsPositiveSelfAdjointExtension H (topRestrict A) := by sorrySource