`BookProof.FockNumberPreservingGap.shiftCol_diagCol` (e : ℕ → ℝ) (mu : ℝ) : shiftCol (diagCol e) mu = diagCol fun k => e k - mu

Proved

BookProof.FockNumberPreservingGap.shiftCol_diagCol

by leonardopedro · Oct 5, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterFockNumberPreservingGap.

BookProof.FockNumberPreservingGap.shiftCol_diagCol (e : ℕ → ℝ) (mu : ℝ) : shiftCol (diagCol e) mu = diagCol fun k => e k - mu

Formalization note: Lean 4 identifier BookProof.FockNumberPreservingGap.shiftCol_diagCol.

Preamble

-- Generated from ChapterFockNumberPreservingGap.lean — theorem BookProof.FockNumberPreservingGap.shiftCol_diagCol
import Definitions.Def_ChapterFockSecondQuantization
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
import Mathlib
import Definitions.Def_ChapterFockNumberPreservingGap
import Definitions.Def_ChapterFockOneParticleGap
open BookProof.FockOneParticleGap
open BookProof.FockNumberPreservingGap


noncomputable section


open BookProof.FockSecondQuantization BookProof.FockOneParticleGap
open BookProof.FarisLavine BookProof.NavierStokesFlow

Formal statement

theorem BookProof.FockNumberPreservingGap.shiftCol_diagCol (e : ℕ → ℝ) (mu : ℝ) :
    shiftCol (diagCol e) mu = diagCol fun k => e k - mu := by sorry

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