(T : F →L[ℂ] F) (c : ℂ) (x : F) : rayleighVal T (c • x) = ‖c‖ ^ 2 * rayleighVal T x

-- Generated from ChapterSirkRitzMinMax.lean — theorem BookProof.RitzMinMax.rayleighVal_smul
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.rayleighVal_smul (T : F →L[ℂ] F) (c : ℂ) (x : F) :
    rayleighVal T (c • x) = ‖c‖ ^ 2 * rayleighVal T x := by sorry