`BookProof.FockFieldPerturbation.l2norm_eq_zero` {f : ℕ →₀ ℂ} (h : l2norm f = 0) : f = 0

Proved

BookProof.FockFieldPerturbation.l2norm_eq_zero

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterFockFieldPerturbation.

BookProof.FockFieldPerturbation.l2norm_eq_zero {f : ℕ →₀ ℂ} (h : l2norm f = 0) : f = 0

Formalization note: Lean 4 identifier BookProof.FockFieldPerturbation.l2norm_eq_zero.

Preamble

-- Generated from ChapterFockFieldPerturbation.lean — theorem BookProof.FockFieldPerturbation.l2norm_eq_zero
import Definitions.Def_ChapterFockSecondQuantization
import Definitions.Def_ChapterFockOneParticleGap
import Definitions.Def_ChapterFockNumberPreservingGap
import Definitions.Def_ChapterFockInteractionStability
import Mathlib
import Definitions.Def_ChapterFockFieldPerturbation
open BookProof.FockFieldPerturbation


noncomputable section


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

Formal statement

theorem BookProof.FockFieldPerturbation.l2norm_eq_zero {f : ℕ →₀ ℂ} (h : l2norm f = 0) : f = 0 := by sorry

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