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`BookProof.ChapterBoseEinstein.tendsto_thermalTemperature_boseEinstein` : Tendsto (fun x : ℝ => thermalTemperature (boseEinstein x)) atTop (𝓝 (1 / 2))

Proved
BookProof.ChapterBoseEinstein.tendsto_thermalTemperature_boseEinstein

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterBoseEinstein.

BookProof.ChapterBoseEinstein.tendsto_thermalTemperature_boseEinstein : Tendsto (fun x : ℝ => thermalTemperature (boseEinstein x)) atTop (𝓝 (1 / 2))

Formalization note: Lean 4 identifier BookProof.ChapterBoseEinstein.tendsto_thermalTemperature_boseEinstein.

Preamble
-- Generated from ChapterBoseEinstein.lean β€” theorem BookProof.ChapterBoseEinstein.tendsto_thermalTemperature_boseEinstein
import Definitions.Def_ChapterCoherentOccupation
import Mathlib
import Definitions.Def_ChapterBoseEinstein
import Definitions.Def_ChapterCoherentTemperature
open BookProof.ChapterCoherentTemperature
open BookProof.ChapterBoseEinstein


noncomputable section

open Filter Topology


open BookProof.ChapterCoherentTemperature BookProof.ChapterCoherentOccupation

variable {x : ℝ}
Formal statement
theorem BookProof.ChapterBoseEinstein.tendsto_thermalTemperature_boseEinstein :
    Tendsto (fun x : ℝ => thermalTemperature (boseEinstein x)) atTop (𝓝 (1 / 2)) := by sorry

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