(A : F →L[ℂ] F) (b : HilbertBasis ℕ ℂ F) : BddBelow (ritzSet (finiteModeRestrict A b) (finiteModeDomain b))
ProvedBookProof.ChapterSirkRitzSpectrum.ritzSet_finiteModeRestrict_bddBelowsirkspectral-theorytimepiece
Lean 4 theorem BookProof.ChapterSirkRitzSpectrum.ritzSet_finiteModeRestrict_bddBelow (module BookProof.ChapterSirkRitzSpectrum), source chapter BookProof/ChapterChapterSirkRitzSpectrum.lean.
Preamble
-- Generated from ChapterSirkRitzSpectrum.lean — theorem BookProof.ChapterSirkRitzSpectrum.ritzSet_finiteModeRestrict_bddBelow
import Mathlib
import Definitions.Def_ChapterSirkRitzSpectrum
import Definitions.Def_ChapterHermiteGalerkinFriedrichs
open BookProof.ChapterSirkRitzSpectrum
open BookProof.HermiteGalerkin
noncomputable section
open Filter Topology RCLike ContinuousLinearMap ComplexOrder Pointwise
variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F] [CompleteSpace F]Formal statement
theorem BookProof.ChapterSirkRitzSpectrum.ritzSet_finiteModeRestrict_bddBelow (A : F →L[ℂ] F) (b : HilbertBasis ℕ ℂ F) :
BddBelow (ritzSet (finiteModeRestrict A b) (finiteModeDomain b)) := by sorrySource