`BookProof.SmDiracYukawa.smFermiWeight_le` {om : Fin n → ℝ} {c0 : ℝ} (hom : ∀ i, 0 ≤ om i) (hc0 : 1 ≤ c0) (S : Finset (Fin n)) : |smFermiWeight om c0 S| ≤ (∑ i : Fin n, om i) + c0

Proved

BookProof.SmDiracYukawa.smFermiWeight_le

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSmDiracYukawa.

BookProof.SmDiracYukawa.smFermiWeight_le {om : Fin n → ℝ} {c0 : ℝ} (hom : ∀ i, 0 ≤ om i) (hc0 : 1 ≤ c0) (S : Finset (Fin n)) : |smFermiWeight om c0 S| ≤ (∑ i : Fin n, om i) + c0

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

Preamble

-- Generated from ChapterSmDiracYukawa.lean — theorem BookProof.SmDiracYukawa.smFermiWeight_le
import Definitions.Def_ChapterSmCarAlgebra
import Definitions.Def_ChapterFarisLavine
import Mathlib
import Definitions.Def_ChapterSmDiracYukawa
open BookProof.SmDiracYukawa



open Finset Matrix
open BookProof.SmCar BookProof.FarisLavine

variable {n : ℕ}

noncomputable section

Formal statement

theorem BookProof.SmDiracYukawa.smFermiWeight_le {om : Fin n → ℝ} {c0 : ℝ} (hom : ∀ i, 0 ≤ om i) (hc0 : 1 ≤ c0)
    (S : Finset (Fin n)) :
    |smFermiWeight om c0 S| ≤ (∑ i : Fin n, om i) + c0 := by sorry

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