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`BookProof.ChapterBoseEinstein.thermalRatio_boseEinstein` (hx : 0 < x) : thermalRatio (boseEinstein x) = Real.exp (-x)

Proved
BookProof.ChapterBoseEinstein.thermalRatio_boseEinstein

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterBoseEinstein.

BookProof.ChapterBoseEinstein.thermalRatio_boseEinstein (hx : 0 < x) : thermalRatio (boseEinstein x) = Real.exp (-x)

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

Preamble
-- Generated from ChapterBoseEinstein.lean — theorem BookProof.ChapterBoseEinstein.thermalRatio_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.thermalRatio_boseEinstein (hx : 0 < x) :
    thermalRatio (boseEinstein x) = Real.exp (-x) := by sorry

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