(T : F →L[ℂ] F) (y u : F) : rayleighVal T y - rayleighVal T u ≤ ‖T‖ * (‖y‖ + ‖u‖) * ‖y - u‖
ProvedBookProof.RitzMinMax.rayleighVal_sub_letimepiece
Lean 4 theorem BookProof.RitzMinMax.rayleighVal_sub_le (module BookProof.RitzMinMax), source chapter BookProof/ChapterRitzMinMax.lean.
Preamble
-- Generated from ChapterSirkRitzMinMax.lean — theorem BookProof.RitzMinMax.rayleighVal_sub_le
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.rayleighVal_sub_le (T : F →L[ℂ] F) (y u : F) :
rayleighVal T y - rayleighVal T u ≤ ‖T‖ * (‖y‖ + ‖u‖) * ‖y - u‖ := by sorrySource