The Lean 4 theorem `galerkinResolvent_tendsto` in the `ChapterHermiteGalerkinFriedrichs` chapter of the timepiece formalization

-- Generated from ChapterHermiteGalerkinFriedrichs.lean — theorem BookProof.HermiteGalerkin.galerkinResolvent_tendsto
import Mathlib
import Definitions.Def_ChapterHermiteGalerkinFriedrichs
open BookProof.HermiteGalerkin












open BookProof.FarisLavine BookProof.YangMillsFriedrichs BookProof.YangMillsFriedrichsLimit
open Filter Topology



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






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


















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



variable {D : Submodule ℂ F}












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









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

theorem BookProof.HermiteGalerkin.galerkinResolvent_tendsto {A : F →L[ℂ] F} (hA : IsSelfAdjoint A)
    (b : HilbertBasis ℕ ℂ F) {z : ℂ} (hz : z.im ≠ 0) (u : F) :
    Tendsto (fun m : ℕ => resolvent (galerkinCompression A b m) z u) atTop
      (nhds (resolvent A z u)) := by sorry