`BookProof.FockNumberPreservingGap.isPosCol_shiftCol_diagCol` {e : ℕ → ℝ} {mu : ℝ} (he : ∀ k, mu ≤ e k) : IsPosCol (shiftCol (diagCol e) mu)

Proved

BookProof.FockNumberPreservingGap.isPosCol_shiftCol_diagCol

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterFockNumberPreservingGap.

BookProof.FockNumberPreservingGap.isPosCol_shiftCol_diagCol {e : ℕ → ℝ} {mu : ℝ} (he : ∀ k, mu ≤ e k) : IsPosCol (shiftCol (diagCol e) mu)

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

Preamble

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


noncomputable section


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

Formal statement

theorem BookProof.FockNumberPreservingGap.isPosCol_shiftCol_diagCol {e : ℕ → ℝ} {mu : ℝ} (he : ∀ k, mu ≤ e k) :
    IsPosCol (shiftCol (diagCol e) mu) := by sorry

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