(T : F →L[ℂ] F) {S : Submodule ℂ F} (hS : 0 < Module.finrank ℂ S) : -‖T‖ ≤ rayleighSup T S
OpenBookProof.RitzMinMax.neg_norm_le_rayleighSuptimepiece
Lean 4 theorem BookProof.RitzMinMax.neg_norm_le_rayleighSup (module BookProof.RitzMinMax), source chapter BookProof/ChapterRitzMinMax.lean.
Preamble
-- Generated from ChapterSirkRitzMinMax.lean — theorem BookProof.RitzMinMax.neg_norm_le_rayleighSup
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]Formal statement
theorem BookProof.RitzMinMax.neg_norm_le_rayleighSup (T : F →L[ℂ] F) {S : Submodule ℂ F}
(hS : 0 < Module.finrank ℂ S) : -‖T‖ ≤ rayleighSup T S := by sorrySource