`BookProof.FockFieldPerturbation.numberQuad_nonneg` (u : FockAlg) : 0 ≤ numberQuad u

Proved

BookProof.FockFieldPerturbation.numberQuad_nonneg

by leonardopedro · Oct 17, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterFockFieldPerturbation.

BookProof.FockFieldPerturbation.numberQuad_nonneg (u : FockAlg) : 0 ≤ numberQuad u

Formalization note: Lean 4 identifier BookProof.FockFieldPerturbation.numberQuad_nonneg.

Preamble

-- Generated from ChapterFockFieldPerturbation.lean — theorem BookProof.FockFieldPerturbation.numberQuad_nonneg
import Definitions.Def_ChapterFockOneParticleGap
import Definitions.Def_ChapterFockNumberPreservingGap
import Definitions.Def_ChapterFockInteractionStability
import Mathlib
import Definitions.Def_ChapterFockFieldPerturbation
import Definitions.Def_ChapterFockSecondQuantization
open BookProof.FockSecondQuantization
open BookProof.FockFieldPerturbation


noncomputable section


open BookProof.FockSecondQuantization BookProof.FockOneParticleGap
open BookProof.FockNumberPreservingGap BookProof.FockInteractionStability

Formal statement

theorem BookProof.FockFieldPerturbation.numberQuad_nonneg (u : FockAlg) : 0 ≤ numberQuad u := by sorry

View graph