`BookProof.QgCouplingDGammaSum.dGamma_diagCol_apply` (lam : ℕ → ℝ) (u : FockAlg) (α : Conf) : dGamma (diagCol lam) u α = ((occEnergy lam α : ℝ) : ℂ) * u α

Proved

BookProof.QgCouplingDGammaSum.dGamma_diagCol_apply

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterQgCouplingDGammaSum.

BookProof.QgCouplingDGammaSum.dGamma_diagCol_apply (lam : ℕ → ℝ) (u : FockAlg) (α : Conf) : dGamma (diagCol lam) u α = ((occEnergy lam α : ℝ) : ℂ) * u α

Formalization note: Lean 4 identifier BookProof.QgCouplingDGammaSum.dGamma_diagCol_apply.

Preamble

-- Generated from ChapterQgCouplingDGammaSum.lean — theorem BookProof.QgCouplingDGammaSum.dGamma_diagCol_apply
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
import Definitions.Def_ChapterNavierStokesIkebeKato
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterFriedrichsExtension
import Definitions.Def_ChapterYangMillsFriedrichs
import Mathlib
import Definitions.Def_ChapterQgCouplingDGammaSum
import Definitions.Def_ChapterFockOneParticleGap
import Definitions.Def_ChapterFockSecondQuantization
open BookProof.FockOneParticleGap
open BookProof.FockSecondQuantization
open BookProof.QgCouplingDGammaSum



open BookProof.FockSecondQuantization
open BookProof.NavierStokesFlow BookProof.NavierStokesFlow.IkebeKato
open BookProof.FarisLavine BookProof.FriedrichsExtension BookProof.YangMillsFriedrichs

noncomputable section

variable {ι : Type*}

Formal statement

theorem BookProof.QgCouplingDGammaSum.dGamma_diagCol_apply (lam : ℕ → ℝ) (u : FockAlg) (α : Conf) :
    dGamma (diagCol lam) u α = ((occEnergy lam α : ℝ) : ℂ) * u α := by sorry

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