`BookProof.ChapterCoherentOccupation.thermalProb_summable` {nbar : ℝ} (h : 0 ≤ nbar) : Summable (fun n : ℕ => thermalProb nbar n)

Proved

BookProof.ChapterCoherentOccupation.thermalProb_summable

by leonardopedro · Oct 7, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterCoherentOccupation.

BookProof.ChapterCoherentOccupation.thermalProb_summable {nbar : ℝ} (h : 0 ≤ nbar) : Summable (fun n : ℕ => thermalProb nbar n)

Formalization note: Lean 4 identifier BookProof.ChapterCoherentOccupation.thermalProb_summable.

Preamble

-- Generated from ChapterCoherentOccupation.lean — theorem BookProof.ChapterCoherentOccupation.thermalProb_summable
import Mathlib
import Definitions.Def_ChapterCoherentOccupation
import Definitions.Def_ChapterCoherentTemperature
open BookProof.ChapterCoherentTemperature
open BookProof.ChapterCoherentOccupation


noncomputable section


open Real Nat ProbabilityTheory

Formal statement

theorem BookProof.ChapterCoherentOccupation.thermalProb_summable {nbar : ℝ} (h : 0 ≤ nbar) :
    Summable (fun n : ℕ => thermalProb nbar n) := by sorry

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