`BookProof.ChapterCoherentThermalFidelity.dtOverlap_width_eq_two_tau` (nb : NNReal) : ((nb : ℝ) + 1 / 2) + ((nb : ℝ) + 1 / 2) = thermalTemperature (nb : ℝ) + thermalTemperature (nb

Proved

BookProof.ChapterCoherentThermalFidelity.dtOverlap_width_eq_two_tau

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterCoherentThermalFidelity.

BookProof.ChapterCoherentThermalFidelity.dtOverlap_width_eq_two_tau (nb : NNReal) : ((nb : ℝ) + 1 / 2) + ((nb : ℝ) + 1 / 2) = thermalTemperature (nb : ℝ) + thermalTemperature (nb : ℝ)

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

Preamble

-- Generated from ChapterCoherentThermalFidelity.lean — theorem BookProof.ChapterCoherentThermalFidelity.dtOverlap_width_eq_two_tau
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.dtOverlap_width_eq_two_tau (nb : NNReal) :
    ((nb : ℝ) + 1 / 2) + ((nb : ℝ) + 1 / 2)
      = thermalTemperature (nb : ℝ) + thermalTemperature (nb : ℝ) := by sorry

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