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`BookProof.ChapterCoherentThermalFidelity.thermalTemperature_eq_mean_add_coherentWidth` (nbar : ℝ) : thermalTemperature nbar = nbar + coherentWidth

Proved
BookProof.ChapterCoherentThermalFidelity.thermalTemperature_eq_mean_add_coherentWidth

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterCoherentThermalFidelity.

BookProof.ChapterCoherentThermalFidelity.thermalTemperature_eq_mean_add_coherentWidth (nbar : ℝ) : thermalTemperature nbar = nbar + coherentWidth

Formalization note: Lean 4 identifier BookProof.ChapterCoherentThermalFidelity.thermalTemperature_eq_mean_add_coherentWidth.

Preamble
-- Generated from ChapterCoherentThermalFidelity.lean — theorem BookProof.ChapterCoherentThermalFidelity.thermalTemperature_eq_mean_add_coherentWidth
import Definitions.Def_ChapterCoherentOccupation
import Definitions.Def_ChapterCoherentFidelity
import Definitions.Def_ChapterDisplacedThermalOverlap
import Mathlib
import Definitions.Def_ChapterCoherentThermalFidelity
import Definitions.Def_ChapterCoherentTemperature
open BookProof.ChapterCoherentTemperature
open BookProof.ChapterCoherentThermalFidelity


noncomputable section


open BookProof.ChapterCoherentOccupation BookProof.ChapterCoherentTemperature
open BookProof.ChapterCoherentFidelity BookProof.ChapterDisplacedThermalOverlap
open Real

variable {nbar lam : ℝ}
Formal statement
theorem BookProof.ChapterCoherentThermalFidelity.thermalTemperature_eq_mean_add_coherentWidth (nbar : ℝ) :
    thermalTemperature nbar = nbar + coherentWidth := by sorry

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