`BookProof.ChapterCoherentThermalFidelity.dtOverlap_vacuum_width` : ((0 : NNReal) : ℝ) + 1 / 2 + (((0 : NNReal) : ℝ) + 1 / 2) = coherentWidth + coherentWidth

Proved

BookProof.ChapterCoherentThermalFidelity.dtOverlap_vacuum_width

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterCoherentThermalFidelity.

BookProof.ChapterCoherentThermalFidelity.dtOverlap_vacuum_width : ((0 : NNReal) : ℝ) + 1 / 2 + (((0 : NNReal) : ℝ) + 1 / 2) = coherentWidth + coherentWidth

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

Preamble

-- Generated from ChapterCoherentThermalFidelity.lean — theorem BookProof.ChapterCoherentThermalFidelity.dtOverlap_vacuum_width
import Definitions.Def_ChapterCoherentOccupation
import Definitions.Def_ChapterCoherentTemperature
import Definitions.Def_ChapterCoherentFidelity
import Definitions.Def_ChapterDisplacedThermalOverlap
import Mathlib
import Definitions.Def_ChapterCoherentThermalFidelity
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_vacuum_width :
    ((0 : NNReal) : ℝ) + 1 / 2 + (((0 : NNReal) : ℝ) + 1 / 2) = coherentWidth + coherentWidth := by sorry

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