(T : F →L[ℂ] F) {S : Submodule ℂ F} (hS : 0 < Module.finrank ℂ S) : (rayleighSetOn T S).Nonempty

-- Generated from ChapterSirkRitzMinMax.lean — theorem BookProof.RitzMinMax.rayleighSetOn_nonempty
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.rayleighSetOn_nonempty (T : F →L[ℂ] F) {S : Submodule ℂ F}
    (hS : 0 < Module.finrank ℂ S) : (rayleighSetOn T S).Nonempty := by sorry