`BookProof.SmDiracYukawa.diagOp_norm_le` {d : Finset (Fin n) → ℝ} {Om : ℝ} (hOm : 0 ≤ Om) (hd : ∀ S, |d S| ≤ Om) (ψ : FermiFock n) : ‖diagOp d ψ‖ ≤ Om * ‖ψ‖

Proved

BookProof.SmDiracYukawa.diagOp_norm_le

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSmDiracYukawa.

BookProof.SmDiracYukawa.diagOp_norm_le {d : Finset (Fin n) → ℝ} {Om : ℝ} (hOm : 0 ≤ Om) (hd : ∀ S, |d S| ≤ Om) (ψ : FermiFock n) : ‖diagOp d ψ‖ ≤ Om * ‖ψ‖

Formalization note: Lean 4 identifier BookProof.SmDiracYukawa.diagOp_norm_le.

Preamble

-- Generated from ChapterSmDiracYukawa.lean — theorem BookProof.SmDiracYukawa.diagOp_norm_le
import Definitions.Def_ChapterFarisLavine
import Mathlib
import Definitions.Def_ChapterSmDiracYukawa
import Definitions.Def_ChapterAbelianDiagonalCountable
import Definitions.Def_ChapterSmCarAlgebra
open BookProof.ChapterAbelianDiagonalCountable
open BookProof.SmCar
open BookProof.SmDiracYukawa



open Finset Matrix
open BookProof.SmCar BookProof.FarisLavine

variable {n : ℕ}

noncomputable section

Formal statement

theorem BookProof.SmDiracYukawa.diagOp_norm_le {d : Finset (Fin n) → ℝ} {Om : ℝ} (hOm : 0 ≤ Om)
    (hd : ∀ S, |d S| ≤ Om) (ψ : FermiFock n) : ‖diagOp d ψ‖ ≤ Om * ‖ψ‖ := by sorry

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