(T : F →L[ℂ] F) (b : HilbertBasis ℕ ℂ F) (k : ℕ) : Tendsto (fun m : ℕ => minmaxLevelIn T (galerkinSpan b m) k) atTop (nhds (minmaxLevel T k))

-- Generated from ChapterSirkRitzMinMax.lean — theorem BookProof.RitzMinMax.galerkin_minmaxLevel_tendsto
import Mathlib
import Definitions.Def_ChapterSirkRitzMinMax
open BookProof.RitzMinMax









noncomputable section


open BookProof.HermiteGalerkin BookProof.ChapterSirkRitzSpectrum
open Filter Topology

variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F] [CompleteSpace F]

theorem BookProof.RitzMinMax.galerkin_minmaxLevel_tendsto (T : F →L[ℂ] F) (b : HilbertBasis ℕ ℂ F) (k : ℕ) :
    Tendsto (fun m : ℕ => minmaxLevelIn T (galerkinSpan b m) k) atTop
      (nhds (minmaxLevel T k)) := by sorry