`BookProof.ChapterDisplacedThermalOverlap.tauNN_eq_thermalTemperature` (nbar : ℝ≥0) : ((tauNN nbar : ℝ≥0) : ℝ) = BookProof.ChapterCoherentTemperature.thermalTemperature (nbar : ℝ)

Proved

BookProof.ChapterDisplacedThermalOverlap.tauNN_eq_thermalTemperature

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterDisplacedThermalOverlap.

BookProof.ChapterDisplacedThermalOverlap.tauNN_eq_thermalTemperature (nbar : ℝ≥0) : ((tauNN nbar : ℝ≥0) : ℝ) = BookProof.ChapterCoherentTemperature.thermalTemperature (nbar : ℝ)

Formalization note: Lean 4 identifier BookProof.ChapterDisplacedThermalOverlap.tauNN_eq_thermalTemperature.

Preamble

-- Generated from ChapterDisplacedThermalOverlap.lean — theorem BookProof.ChapterDisplacedThermalOverlap.tauNN_eq_thermalTemperature
import Mathlib
import Definitions.Def_ChapterDisplacedThermalOverlap
import Definitions.Def_ChapterCoherentTemperature
open BookProof.ChapterCoherentTemperature
open BookProof.ChapterDisplacedThermalOverlap


noncomputable section

open MeasureTheory ProbabilityTheory Real
open scoped NNReal

Formal statement

theorem BookProof.ChapterDisplacedThermalOverlap.tauNN_eq_thermalTemperature (nbar : ℝ≥0) :
    ((tauNN nbar : ℝ≥0) : ℝ)
      = BookProof.ChapterCoherentTemperature.thermalTemperature (nbar : ℝ) := by sorry

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